TSTP Solution File: SYN341-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN341-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n023.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 23:54:51 EDT 2022
% Result : Unsatisfiable 0.12s 0.40s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN341-1 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n023.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 : Mon Sep 5 03:04:32 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.
% 0.12/0.40 % SZS status Unsatisfiable
% 0.12/0.40 % SZS output start Proof
% 0.12/0.40 tff(f_type, type, (
% 0.12/0.40 f: ( $i * $i * $i ) > $o)).
% 0.12/0.40 tff(y4_type, type, (
% 0.12/0.40 y4: ( $i * $i ) > $i)).
% 0.12/0.40 tff(y2_type, type, (
% 0.12/0.40 y2: $i > $i)).
% 0.12/0.40 tff(elem_0_type, type, (
% 0.12/0.40 elem_0: $i)).
% 0.12/0.40 tff(1,plain,
% 0.12/0.40 (^[Y1: $i, Y3: $i] : refl((~f(y2(Y1), Y3, y4(Y1, Y3))) <=> (~f(y2(Y1), Y3, y4(Y1, Y3))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(2,plain,
% 0.12/0.40 (![Y1: $i, Y3: $i] : (~f(y2(Y1), Y3, y4(Y1, Y3))) <=> ![Y1: $i, Y3: $i] : (~f(y2(Y1), Y3, y4(Y1, Y3)))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[1])).
% 0.12/0.40 tff(3,plain,
% 0.12/0.40 (![Y1: $i, Y3: $i] : (~f(y2(Y1), Y3, y4(Y1, Y3))) <=> ![Y1: $i, Y3: $i] : (~f(y2(Y1), Y3, y4(Y1, Y3)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(4,axiom,(![Y1: $i, Y3: $i] : (~f(y2(Y1), Y3, y4(Y1, Y3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause2')).
% 0.12/0.40 tff(5,plain,
% 0.12/0.40 (![Y1: $i, Y3: $i] : (~f(y2(Y1), Y3, y4(Y1, Y3)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.12/0.40 tff(6,plain,(
% 0.12/0.40 ![Y1: $i, Y3: $i] : (~f(y2(Y1), Y3, y4(Y1, Y3)))),
% 0.12/0.40 inference(skolemize,[status(sab)],[5])).
% 0.12/0.40 tff(7,plain,
% 0.12/0.40 (![Y1: $i, Y3: $i] : (~f(y2(Y1), Y3, y4(Y1, Y3)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.12/0.40 tff(8,plain,
% 0.12/0.40 ((~![Y1: $i, Y3: $i] : (~f(y2(Y1), Y3, y4(Y1, Y3)))) | (~f(y2(elem!0), y2(y2(elem!0)), y4(elem!0, y2(y2(elem!0)))))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(9,plain,
% 0.12/0.40 (~f(y2(elem!0), y2(y2(elem!0)), y4(elem!0, y2(y2(elem!0))))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.12/0.40 tff(10,plain,
% 0.12/0.40 (^[Y1: $i, Y3: $i] : refl(f(Y1, y2(Y1), Y3) <=> f(Y1, y2(Y1), Y3))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(11,plain,
% 0.12/0.40 (![Y1: $i, Y3: $i] : f(Y1, y2(Y1), Y3) <=> ![Y1: $i, Y3: $i] : f(Y1, y2(Y1), Y3)),
% 0.12/0.40 inference(quant_intro,[status(thm)],[10])).
% 0.12/0.40 tff(12,plain,
% 0.12/0.40 (![Y1: $i, Y3: $i] : f(Y1, y2(Y1), Y3) <=> ![Y1: $i, Y3: $i] : f(Y1, y2(Y1), Y3)),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(13,axiom,(![Y1: $i, Y3: $i] : f(Y1, y2(Y1), Y3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause1')).
% 0.12/0.40 tff(14,plain,
% 0.12/0.40 (![Y1: $i, Y3: $i] : f(Y1, y2(Y1), Y3)),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.12/0.40 tff(15,plain,(
% 0.12/0.40 ![Y1: $i, Y3: $i] : f(Y1, y2(Y1), Y3)),
% 0.12/0.40 inference(skolemize,[status(sab)],[14])).
% 0.12/0.40 tff(16,plain,
% 0.12/0.40 (![Y1: $i, Y3: $i] : f(Y1, y2(Y1), Y3)),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.12/0.40 tff(17,plain,
% 0.12/0.40 ((~![Y1: $i, Y3: $i] : f(Y1, y2(Y1), Y3)) | f(y2(elem!0), y2(y2(elem!0)), y4(elem!0, y2(y2(elem!0))))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(18,plain,
% 0.12/0.40 ($false),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[17, 16, 9])).
% 0.12/0.40 % SZS output end Proof
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