%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWW469_1 : TPTP v9.0.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.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 05:37:04 AM UTC 2025
% Result : Theorem 0.19s 0.37s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW469_1 : TPTP v9.0.0. Released v5.3.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 11:47:09 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.37 % SZS status Theorem
% 0.19/0.37 % SZS output start Proof
% 0.19/0.37 tff(tptp_fun_T_1_type, type, (
% 0.19/0.37 tptp_fun_T_1: state)).
% 0.19/0.37 tff(tptp_fun_S_2_type, type, (
% 0.19/0.37 tptp_fun_S_2: state)).
% 0.19/0.37 tff(tptp_fun_T_3_type, type, (
% 0.19/0.37 tptp_fun_T_3: state)).
% 0.19/0.37 tff(hoare_1310879719gleton_type, type, (
% 0.19/0.37 hoare_1310879719gleton: $o)).
% 0.19/0.37 tff(1,plain,
% 0.19/0.37 ((~![T: state] : (~![S: state] : (S = T))) <=> (~![T: state] : (~![S: state] : (S = T)))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(2,axiom,(~![T: state] : (~![S: state] : (S = T))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','conj_1')).
% 0.19/0.37 tff(3,plain,
% 0.19/0.37 (~![T: state] : (~![S: state] : (S = T))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.19/0.37 tff(4,plain,
% 0.19/0.37 (~![T: state] : (~![S: state] : (S = T))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[3, 1])).
% 0.19/0.37 tff(5,plain,
% 0.19/0.37 (~![T: state] : (~![S: state] : (S = T))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.19/0.37 tff(6,plain,
% 0.19/0.37 (~![T: state] : (~![S: state] : (S = T))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.19/0.37 tff(7,plain,(
% 0.19/0.37 $oeq((~(~![S: state] : (S = T!3))), ![S: state] : (S = T!3))),
% 0.19/0.37 inference(transitivity,[status(sab)],[6])).
% 0.19/0.37 tff(8,plain,
% 0.19/0.37 ((~![S: state] : (S = T!3)) | (T!1 = T!3)),
% 0.19/0.37 inference(quant_inst,[status(thm)],[])).
% 0.19/0.37 tff(9,plain,
% 0.19/0.37 (T!1 = T!3),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.19/0.37 tff(10,plain,
% 0.19/0.37 (T!3 = T!1),
% 0.19/0.37 inference(symmetry,[status(thm)],[9])).
% 0.19/0.37 tff(11,plain,
% 0.19/0.37 ((~![S: state] : (S = T!3)) | (S!2 = T!3)),
% 0.19/0.37 inference(quant_inst,[status(thm)],[])).
% 0.19/0.37 tff(12,plain,
% 0.19/0.37 (S!2 = T!3),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[11, 7])).
% 0.19/0.37 tff(13,plain,
% 0.19/0.37 (S!2 = T!1),
% 0.19/0.37 inference(transitivity,[status(thm)],[12, 10])).
% 0.19/0.37 tff(14,plain,
% 0.19/0.37 (hoare_1310879719gleton <=> hoare_1310879719gleton),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(15,axiom,(hoare_1310879719gleton), file('/export/starexec/sandbox/benchmark/theBenchmark.p','conj_0')).
% 0.19/0.37 tff(16,plain,
% 0.19/0.37 (hoare_1310879719gleton),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.19/0.37 tff(17,plain,
% 0.19/0.37 ((hoare_1310879719gleton | ![S: state, T: state] : (S = T)) <=> (hoare_1310879719gleton | ![S: state, T: state] : (S = T))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(18,plain,
% 0.19/0.37 ((((~hoare_1310879719gleton) | (~(S!2 = T!1))) & (hoare_1310879719gleton | ![S: state, T: state] : (S = T))) <=> (((~hoare_1310879719gleton) | (~(S!2 = T!1))) & (hoare_1310879719gleton | ![S: state, T: state] : (S = T)))),
% 0.19/0.37 inference(monotonicity,[status(thm)],[17])).
% 0.19/0.37 tff(19,plain,
% 0.19/0.37 ((hoare_1310879719gleton <=> ?[S: state, T: state] : (~(S = T))) <=> (hoare_1310879719gleton <=> ?[S: state, T: state] : (~(S = T)))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(20,axiom,(hoare_1310879719gleton <=> ?[S: state, T: state] : (~(S = T))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','fact_0_state__not__singleton__def')).
% 0.19/0.37 tff(21,plain,
% 0.19/0.37 (hoare_1310879719gleton <=> ?[S: state, T: state] : (~(S = T))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.19/0.37 tff(22,plain,
% 0.19/0.37 (hoare_1310879719gleton <=> ?[S: state, T: state] : (~(S = T))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[21, 19])).
% 0.19/0.37 tff(23,plain,
% 0.19/0.37 (hoare_1310879719gleton <=> ?[S: state, T: state] : (~(S = T))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[22, 19])).
% 0.19/0.37 tff(24,plain,
% 0.19/0.37 (hoare_1310879719gleton <=> ?[S: state, T: state] : (~(S = T))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[23, 19])).
% 0.19/0.37 tff(25,plain,(
% 0.19/0.37 ((~hoare_1310879719gleton) | (~(S!2 = T!1))) & (hoare_1310879719gleton | ![S: state, T: state] : (S = T))),
% 0.19/0.37 inference(skolemize,[status(sab)],[24])).
% 0.19/0.37 tff(26,plain,
% 0.19/0.37 (((~hoare_1310879719gleton) | (~(S!2 = T!1))) & (hoare_1310879719gleton | ![S: state, T: state] : (S = T))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[25, 18])).
% 0.19/0.37 tff(27,plain,
% 0.19/0.37 ((~hoare_1310879719gleton) | (~(S!2 = T!1))),
% 0.19/0.37 inference(and_elim,[status(thm)],[26])).
% 0.19/0.37 tff(28,plain,
% 0.19/0.37 (~(S!2 = T!1)),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[27, 16])).
% 0.19/0.37 tff(29,plain,
% 0.19/0.37 ($false),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[28, 13])).
% 0.19/0.37 % SZS output end Proof
% 0.19/0.37 % E exiting
%------------------------------------------------------------------------------