% TIMEFORMAT='%3R'; { time (exec 2>&1; /home/martin/bin/satallax -E /home/martin/.isabelle/contrib/e-2.5-1/x86_64-linux/eprover -p tstp -t 5 /home/martin/judgement-day/tptp-thf/tptp/Hoare/prob_490__3255264_1 ) ; }
% This file was generated by Isabelle (most likely Sledgehammer)
% 2020-12-16 14:15:20.847

% Could-be-implicit typings (2)
thf(ty_n_t__Com__Ostate, type,
    state : $tType).
thf(ty_n_tf__a, type,
    a : $tType).

% Explicit typings (4)
thf(sy_c_Hoare__Mirabelle__raqjowkjvm_Ostate__not__singleton, type,
    hoare_405891322gleton : $o).
thf(sy_v_P, type,
    p : a > state > $o).
thf(sy_v_P_H__0_058ATP, type,
    p_0_ATP : a > state > $o).
thf(sy_v_Q, type,
    q : a > state > $o).

% Relevant facts (2)
thf(fact_0_single__stateE, axiom,
    ((hoare_405891322gleton => (![T : state]: (~ ((![S : state]: (S = T)))))))). % single_stateE
thf(fact_1_state__not__singleton__def, axiom,
    ((hoare_405891322gleton = (?[S2 : state]: (?[T2 : state]: (~ ((S2 = T2)))))))). % state_not_singleton_def

% Conjectures (2)
thf(conj_0, hypothesis,
    ((![Z : a, S3 : state]: ((p @ Z @ S3) => (q @ Z @ S3))))).
thf(conj_1, conjecture,
    ((![Z2 : a, S : state]: ((~ ((p @ Z2 @ S))) | (![S4 : state]: ((?[Z3 : a]: ((p_0_ATP @ Z3 @ S) & (~ ((p_0_ATP @ Z3 @ S4))))) | (q @ Z2 @ S4))))))).
