%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MSC011+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:17:32 AM UTC 2025
% Result : Theorem 0.20s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MSC011+1 : TPTP v9.0.0. Released v3.2.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Jun 19 23:32:50 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.20/0.36 % SZS status Theorem
% 0.20/0.36 % SZS output start Proof
% 0.20/0.36 tff(drunk_type, type, (
% 0.20/0.36 drunk: $i > $o)).
% 0.20/0.36 tff(tptp_fun_A_0_type, type, (
% 0.20/0.36 tptp_fun_A_0: $i)).
% 0.20/0.36 tff(neg_psi_type, type, (
% 0.20/0.36 neg_psi: $o)).
% 0.20/0.36 tff(goal_type, type, (
% 0.20/0.36 goal: $o)).
% 0.20/0.36 tff(not_drunk_type, type, (
% 0.20/0.36 not_drunk: $i > $o)).
% 0.20/0.36 tff(elem_1_type, type, (
% 0.20/0.36 elem_1: $i)).
% 0.20/0.36 tff(1,plain,
% 0.20/0.36 ((~goal) <=> (~goal)),
% 0.20/0.36 inference(rewrite,[status(thm)],[])).
% 0.20/0.36 tff(2,axiom,(~goal), file('/export/starexec/sandbox/benchmark/theBenchmark.p','goal_to_be_proved')).
% 0.20/0.36 tff(3,plain,
% 0.20/0.36 (~goal),
% 0.20/0.36 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.20/0.36 tff(4,plain,
% 0.20/0.36 (^[A: $i] : refl((~((~neg_psi) | (~drunk(A)))) <=> (~((~neg_psi) | (~drunk(A)))))),
% 0.20/0.36 inference(bind,[status(th)],[])).
% 0.20/0.36 tff(5,plain,
% 0.20/0.36 (![A: $i] : (~((~neg_psi) | (~drunk(A)))) <=> ![A: $i] : (~((~neg_psi) | (~drunk(A))))),
% 0.20/0.36 inference(quant_intro,[status(thm)],[4])).
% 0.20/0.36 tff(6,plain,
% 0.20/0.36 (^[A: $i] : rewrite((drunk(A) & neg_psi) <=> (~((~neg_psi) | (~drunk(A)))))),
% 0.20/0.36 inference(bind,[status(th)],[])).
% 0.20/0.36 tff(7,plain,
% 0.20/0.36 (![A: $i] : (drunk(A) & neg_psi) <=> ![A: $i] : (~((~neg_psi) | (~drunk(A))))),
% 0.20/0.36 inference(quant_intro,[status(thm)],[6])).
% 0.20/0.36 tff(8,plain,
% 0.20/0.36 (![A: $i] : (drunk(A) & neg_psi) <=> ![A: $i] : (drunk(A) & neg_psi)),
% 0.20/0.36 inference(rewrite,[status(thm)],[])).
% 0.20/0.36 tff(9,axiom,(![A: $i] : (drunk(A) & neg_psi)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg_phi')).
% 0.20/0.36 tff(10,plain,
% 0.20/0.36 (![A: $i] : (drunk(A) & neg_psi)),
% 0.20/0.36 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.20/0.36 tff(11,plain,(
% 0.20/0.36 ![A: $i] : (drunk(A) & neg_psi)),
% 0.20/0.36 inference(skolemize,[status(sab)],[10])).
% 0.20/0.36 tff(12,plain,
% 0.20/0.36 (![A: $i] : (~((~neg_psi) | (~drunk(A))))),
% 0.20/0.36 inference(modus_ponens,[status(thm)],[11, 7])).
% 0.20/0.36 tff(13,plain,
% 0.20/0.36 (![A: $i] : (~((~neg_psi) | (~drunk(A))))),
% 0.20/0.36 inference(modus_ponens,[status(thm)],[12, 5])).
% 0.20/0.36 tff(14,plain,
% 0.20/0.36 ((~![A: $i] : (~((~neg_psi) | (~drunk(A))))) | (~((~neg_psi) | (~drunk(elem!1))))),
% 0.20/0.36 inference(quant_inst,[status(thm)],[])).
% 0.20/0.36 tff(15,plain,
% 0.20/0.36 (~((~neg_psi) | (~drunk(elem!1)))),
% 0.20/0.36 inference(unit_resolution,[status(thm)],[14, 13])).
% 0.20/0.36 tff(16,plain,
% 0.20/0.36 (((~neg_psi) | (~drunk(elem!1))) | neg_psi),
% 0.20/0.36 inference(tautology,[status(thm)],[])).
% 0.20/0.36 tff(17,plain,
% 0.20/0.36 (neg_psi),
% 0.20/0.36 inference(unit_resolution,[status(thm)],[16, 15])).
% 0.20/0.36 tff(18,plain,
% 0.20/0.36 (((~neg_psi) | ?[A: $i] : not_drunk(A)) <=> ((~neg_psi) | ?[A: $i] : not_drunk(A))),
% 0.20/0.36 inference(rewrite,[status(thm)],[])).
% 0.20/0.36 tff(19,plain,
% 0.20/0.36 ((neg_psi => ?[A: $i] : not_drunk(A)) <=> ((~neg_psi) | ?[A: $i] : not_drunk(A))),
% 0.20/0.36 inference(rewrite,[status(thm)],[])).
% 0.20/0.36 tff(20,axiom,(neg_psi => ?[A: $i] : not_drunk(A)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg_psi_ax')).
% 0.20/0.36 tff(21,plain,
% 0.20/0.36 ((~neg_psi) | ?[A: $i] : not_drunk(A)),
% 0.20/0.36 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.20/0.36 tff(22,plain,
% 0.20/0.36 ((~neg_psi) | ?[A: $i] : not_drunk(A)),
% 0.20/0.36 inference(modus_ponens,[status(thm)],[21, 18])).
% 0.20/0.36 tff(23,plain,
% 0.20/0.36 ((~neg_psi) | ?[A: $i] : not_drunk(A)),
% 0.20/0.36 inference(modus_ponens,[status(thm)],[22, 18])).
% 0.20/0.36 tff(24,plain,
% 0.20/0.36 ((~neg_psi) | ?[A: $i] : not_drunk(A)),
% 0.20/0.36 inference(modus_ponens,[status(thm)],[23, 18])).
% 0.20/0.36 Proof display could not be completed: monotonicity rule is not handled
% 0.20/0.36 % E exiting
%------------------------------------------------------------------------------