TSTP Solution File: SYO632-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYO632-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n027.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 : Fri Sep 30 01:41:06 EDT 2022
% Result : Unsatisfiable 0.20s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO632-1 : TPTP v8.1.0. Released v7.1.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Sep 5 15:50:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.20/0.39 % SZS status Unsatisfiable
% 0.20/0.39 % SZS output start Proof
% 0.20/0.39 tff(tptp_fun__E__type, type, (
% 0.20/0.39 tptp_fun__E_: ( $i * $i ) > $o)).
% 0.20/0.39 tff(s_type, type, (
% 0.20/0.39 s: $i > $i)).
% 0.20/0.39 tff(tptp_fun__0__type, type, (
% 0.20/0.39 tptp_fun__0_: $i)).
% 0.20/0.39 tff(f_type, type, (
% 0.20/0.39 f: $i > $i)).
% 0.20/0.39 tff(tptp_fun__AP__type, type, (
% 0.20/0.39 tptp_fun__AP_: ( $i * $i ) > $i)).
% 0.20/0.39 tff(elem_0_type, type, (
% 0.20/0.39 elem_0: $i)).
% 0.20/0.39 tff(1,plain,
% 0.20/0.39 (^[K: $i] : refl(tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), K)), |'0'|) <=> tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), K)), |'0'|))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(2,plain,
% 0.20/0.39 (![K: $i] : tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), K)), |'0'|) <=> ![K: $i] : tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), K)), |'0'|)),
% 0.20/0.39 inference(quant_intro,[status(thm)],[1])).
% 0.20/0.39 tff(3,plain,
% 0.20/0.39 (![K: $i] : tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), K)), |'0'|) <=> ![K: $i] : tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), K)), |'0'|)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(4,axiom,(![K: $i] : tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), K)), |'0'|)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_2_02')).
% 0.20/0.39 tff(5,plain,
% 0.20/0.39 (![K: $i] : tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), K)), |'0'|)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.20/0.39 tff(6,plain,(
% 0.20/0.39 ![K: $i] : tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), K)), |'0'|)),
% 0.20/0.39 inference(skolemize,[status(sab)],[5])).
% 0.20/0.39 tff(7,plain,
% 0.20/0.39 (![K: $i] : tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), K)), |'0'|)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.20/0.39 tff(8,plain,
% 0.20/0.39 ((~![K: $i] : tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), K)), |'0'|)) | tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), elem!0)), |'0'|)),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(9,plain,
% 0.20/0.39 (tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), elem!0)), |'0'|)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.20/0.39 tff(10,plain,
% 0.20/0.39 (^[B_0: $i, A_0: $i] : refl(((~tptp_fun__E_(f(A_0), |'0'|)) | (~tptp_fun__E_(f(B_0), s(|'0'|)))) <=> ((~tptp_fun__E_(f(A_0), |'0'|)) | (~tptp_fun__E_(f(B_0), s(|'0'|)))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(11,plain,
% 0.20/0.39 (![B_0: $i, A_0: $i] : ((~tptp_fun__E_(f(A_0), |'0'|)) | (~tptp_fun__E_(f(B_0), s(|'0'|)))) <=> ![B_0: $i, A_0: $i] : ((~tptp_fun__E_(f(A_0), |'0'|)) | (~tptp_fun__E_(f(B_0), s(|'0'|))))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[10])).
% 0.20/0.39 tff(12,plain,
% 0.20/0.39 (![B_0: $i, A_0: $i] : ((~tptp_fun__E_(f(A_0), |'0'|)) | (~tptp_fun__E_(f(B_0), s(|'0'|)))) <=> ![B_0: $i, A_0: $i] : ((~tptp_fun__E_(f(A_0), |'0'|)) | (~tptp_fun__E_(f(B_0), s(|'0'|))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(13,axiom,(![B_0: $i, A_0: $i] : ((~tptp_fun__E_(f(A_0), |'0'|)) | (~tptp_fun__E_(f(B_0), s(|'0'|))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_1_04')).
% 0.20/0.39 tff(14,plain,
% 0.20/0.39 (![B_0: $i, A_0: $i] : ((~tptp_fun__E_(f(A_0), |'0'|)) | (~tptp_fun__E_(f(B_0), s(|'0'|))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.20/0.39 tff(15,plain,(
% 0.20/0.39 ![B_0: $i, A_0: $i] : ((~tptp_fun__E_(f(A_0), |'0'|)) | (~tptp_fun__E_(f(B_0), s(|'0'|))))),
% 0.20/0.39 inference(skolemize,[status(sab)],[14])).
% 0.20/0.39 tff(16,plain,
% 0.20/0.39 (![B_0: $i, A_0: $i] : ((~tptp_fun__E_(f(A_0), |'0'|)) | (~tptp_fun__E_(f(B_0), s(|'0'|))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.20/0.39 tff(17,plain,
% 0.20/0.39 (((~![B_0: $i, A_0: $i] : ((~tptp_fun__E_(f(A_0), |'0'|)) | (~tptp_fun__E_(f(B_0), s(|'0'|))))) | ((~tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), elem!0)), |'0'|)) | (~tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), elem!0)), s(|'0'|))))) <=> ((~![B_0: $i, A_0: $i] : ((~tptp_fun__E_(f(A_0), |'0'|)) | (~tptp_fun__E_(f(B_0), s(|'0'|))))) | (~tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), elem!0)), |'0'|)) | (~tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), elem!0)), s(|'0'|))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(18,plain,
% 0.20/0.39 ((~![B_0: $i, A_0: $i] : ((~tptp_fun__E_(f(A_0), |'0'|)) | (~tptp_fun__E_(f(B_0), s(|'0'|))))) | ((~tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), elem!0)), |'0'|)) | (~tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), elem!0)), s(|'0'|))))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(19,plain,
% 0.20/0.39 ((~![B_0: $i, A_0: $i] : ((~tptp_fun__E_(f(A_0), |'0'|)) | (~tptp_fun__E_(f(B_0), s(|'0'|))))) | (~tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), elem!0)), |'0'|)) | (~tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), elem!0)), s(|'0'|)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.20/0.40 tff(20,plain,
% 0.20/0.40 (~tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), elem!0)), s(|'0'|))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[19, 16, 9])).
% 0.20/0.40 tff(21,plain,
% 0.20/0.40 (^[B: $i] : refl(tptp_fun__E_(f(B), s(|'0'|)) <=> tptp_fun__E_(f(B), s(|'0'|)))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(22,plain,
% 0.20/0.40 (![B: $i] : tptp_fun__E_(f(B), s(|'0'|)) <=> ![B: $i] : tptp_fun__E_(f(B), s(|'0'|))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[21])).
% 0.20/0.40 tff(23,plain,
% 0.20/0.40 (![B: $i] : tptp_fun__E_(f(B), s(|'0'|)) <=> ![B: $i] : tptp_fun__E_(f(B), s(|'0'|))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(24,axiom,(![B: $i] : tptp_fun__E_(f(B), s(|'0'|))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_0_03')).
% 0.20/0.40 tff(25,plain,
% 0.20/0.40 (![B: $i] : tptp_fun__E_(f(B), s(|'0'|))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.20/0.40 tff(26,plain,(
% 0.20/0.40 ![B: $i] : tptp_fun__E_(f(B), s(|'0'|))),
% 0.20/0.40 inference(skolemize,[status(sab)],[25])).
% 0.20/0.40 tff(27,plain,
% 0.20/0.40 (![B: $i] : tptp_fun__E_(f(B), s(|'0'|))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.20/0.40 tff(28,plain,
% 0.20/0.40 ((~![B: $i] : tptp_fun__E_(f(B), s(|'0'|))) | tptp_fun__E_(f(tptp_fun__AP_(s(s(|'0'|)), elem!0)), s(|'0'|))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(29,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[28, 27, 20])).
% 0.20/0.40 % SZS output end Proof
%------------------------------------------------------------------------------