TSTP Solution File: SWW469_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWW469_1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n020.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 : Thu Sep 29 20:58:47 EDT 2022
% Result : Theorem 0.19s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW469_1 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Sep 4 17:33:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.19/0.39 % SZS status Theorem
% 0.19/0.39 % SZS output start Proof
% 0.19/0.39 tff(tptp_fun_T_0_type, type, (
% 0.19/0.39 tptp_fun_T_0: state)).
% 0.19/0.39 tff(tptp_fun_S_1_type, type, (
% 0.19/0.39 tptp_fun_S_1: state)).
% 0.19/0.39 tff(tptp_fun_T_2_type, type, (
% 0.19/0.39 tptp_fun_T_2: state)).
% 0.19/0.39 tff(hoare_1310879719gleton_type, type, (
% 0.19/0.39 hoare_1310879719gleton: $o)).
% 0.19/0.39 tff(1,plain,
% 0.19/0.39 ((~![T: state] : (~![S: state] : (S = T))) <=> (~![T: state] : (~![S: state] : (S = T)))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(2,axiom,(~![T: state] : (~![S: state] : (S = T))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conj_1')).
% 0.19/0.39 tff(3,plain,
% 0.19/0.39 (~![T: state] : (~![S: state] : (S = T))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.19/0.39 tff(4,plain,
% 0.19/0.39 (~![T: state] : (~![S: state] : (S = T))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[3, 1])).
% 0.19/0.39 tff(5,plain,
% 0.19/0.39 (~![T: state] : (~![S: state] : (S = T))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.19/0.39 tff(6,plain,
% 0.19/0.39 (~![T: state] : (~![S: state] : (S = T))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.19/0.39 tff(7,plain,
% 0.19/0.39 (~![T: state] : (~![S: state] : (S = T))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.19/0.39 tff(8,plain,
% 0.19/0.39 (~![T: state] : (~![S: state] : (S = T))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[7, 1])).
% 0.19/0.39 tff(9,plain,
% 0.19/0.39 (~![T: state] : (~![S: state] : (S = T))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[8, 1])).
% 0.19/0.39 tff(10,plain,
% 0.19/0.39 (~![T: state] : (~![S: state] : (S = T))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[9, 1])).
% 0.19/0.39 tff(11,plain,
% 0.19/0.39 (~![T: state] : (~![S: state] : (S = T))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[10, 1])).
% 0.19/0.39 tff(12,plain,(
% 0.19/0.39 $oeq((~(~![S: state] : (S = T!2))), ![S: state] : (S = T!2))),
% 0.19/0.39 inference(transitivity,[status(sab)],[11])).
% 0.19/0.39 tff(13,plain,
% 0.19/0.39 ((~![S: state] : (S = T!2)) | (T!0 = T!2)),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(14,plain,
% 0.19/0.39 (T!0 = T!2),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[13, 12])).
% 0.19/0.39 tff(15,plain,
% 0.19/0.39 (T!2 = T!0),
% 0.19/0.39 inference(symmetry,[status(thm)],[14])).
% 0.19/0.39 tff(16,plain,
% 0.19/0.39 ((~![S: state] : (S = T!2)) | (S!1 = T!2)),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(17,plain,
% 0.19/0.39 (S!1 = T!2),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[16, 12])).
% 0.19/0.39 tff(18,plain,
% 0.19/0.39 (S!1 = T!0),
% 0.19/0.39 inference(transitivity,[status(thm)],[17, 15])).
% 0.19/0.39 tff(19,plain,
% 0.19/0.39 (?[S: state, T: state] : (~(S = T)) <=> ?[S: state, T: state] : (~(S = T))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(20,plain,
% 0.19/0.39 (($true <=> ?[S: state, T: state] : (~(S = T))) <=> ?[S: state, T: state] : (~(S = T))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(21,axiom,(hoare_1310879719gleton), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conj_0')).
% 0.19/0.39 tff(22,plain,
% 0.19/0.39 (hoare_1310879719gleton <=> $true),
% 0.19/0.39 inference(iff_true,[status(thm)],[21])).
% 0.19/0.39 tff(23,plain,
% 0.19/0.39 ((hoare_1310879719gleton <=> ?[S: state, T: state] : (~(S = T))) <=> ($true <=> ?[S: state, T: state] : (~(S = T)))),
% 0.19/0.39 inference(monotonicity,[status(thm)],[22])).
% 0.19/0.39 tff(24,plain,
% 0.19/0.39 ((hoare_1310879719gleton <=> ?[S: state, T: state] : (~(S = T))) <=> ?[S: state, T: state] : (~(S = T))),
% 0.19/0.39 inference(transitivity,[status(thm)],[23, 20])).
% 0.19/0.39 tff(25,plain,
% 0.19/0.39 ((hoare_1310879719gleton <=> ?[S: state, T: state] : (~(S = T))) <=> (hoare_1310879719gleton <=> ?[S: state, T: state] : (~(S = T)))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(26,axiom,(hoare_1310879719gleton <=> ?[S: state, T: state] : (~(S = T))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fact_0_state__not__singleton__def')).
% 0.19/0.39 tff(27,plain,
% 0.19/0.39 (hoare_1310879719gleton <=> ?[S: state, T: state] : (~(S = T))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.19/0.39 tff(28,plain,
% 0.19/0.39 (hoare_1310879719gleton <=> ?[S: state, T: state] : (~(S = T))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[27, 25])).
% 0.19/0.39 tff(29,plain,
% 0.19/0.39 (?[S: state, T: state] : (~(S = T))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[28, 24])).
% 0.19/0.39 tff(30,plain,
% 0.19/0.39 (?[S: state, T: state] : (~(S = T))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[29, 19])).
% 0.19/0.39 tff(31,plain,(
% 0.19/0.39 ~(S!1 = T!0)),
% 0.19/0.39 inference(skolemize,[status(sab)],[30])).
% 0.19/0.39 tff(32,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[31, 18])).
% 0.19/0.39 % SZS output end Proof
%------------------------------------------------------------------------------