TSTP Solution File: LCL678+1.001 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LCL678+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n024.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 : Sun Sep 18 04:57:48 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL678+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Sep 2 00:05:33 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.13/0.36 % SZS status Theorem
% 0.13/0.36 % SZS output start Proof
% 0.13/0.36 tff(r1_type, type, (
% 0.13/0.36 r1: ( $i * $i ) > $o)).
% 0.13/0.36 tff(tptp_fun_X_0_type, type, (
% 0.13/0.36 tptp_fun_X_0: $i)).
% 0.13/0.36 tff(p1_type, type, (
% 0.13/0.36 p1: $i > $o)).
% 0.13/0.36 tff(1,plain,
% 0.13/0.36 (^[X: $i] : refl(r1(X, X) <=> r1(X, X))),
% 0.13/0.36 inference(bind,[status(th)],[])).
% 0.13/0.36 tff(2,plain,
% 0.13/0.36 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 0.13/0.36 inference(quant_intro,[status(thm)],[1])).
% 0.13/0.36 tff(3,plain,
% 0.13/0.36 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 0.13/0.36 inference(rewrite,[status(thm)],[])).
% 0.13/0.36 tff(4,axiom,(![X: $i] : r1(X, X)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reflexivity')).
% 0.13/0.36 tff(5,plain,
% 0.13/0.36 (![X: $i] : r1(X, X)),
% 0.13/0.36 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.13/0.36 tff(6,plain,(
% 0.13/0.36 ![X: $i] : r1(X, X)),
% 0.13/0.36 inference(skolemize,[status(sab)],[5])).
% 0.13/0.36 tff(7,plain,
% 0.13/0.36 (![X: $i] : r1(X, X)),
% 0.13/0.36 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.13/0.36 tff(8,plain,
% 0.13/0.36 ((~![X: $i] : r1(X, X)) | r1(X!0, X!0)),
% 0.13/0.36 inference(quant_inst,[status(thm)],[])).
% 0.13/0.36 tff(9,plain,
% 0.13/0.36 (r1(X!0, X!0)),
% 0.13/0.36 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.13/0.36 tff(10,plain,
% 0.13/0.36 (^[Y: $i] : refl((~r1(X!0, Y)) <=> (~r1(X!0, Y)))),
% 0.13/0.36 inference(bind,[status(th)],[])).
% 0.13/0.36 tff(11,plain,
% 0.13/0.36 (![Y: $i] : (~r1(X!0, Y)) <=> ![Y: $i] : (~r1(X!0, Y))),
% 0.13/0.36 inference(quant_intro,[status(thm)],[10])).
% 0.13/0.36 tff(12,plain,
% 0.13/0.36 (?[X: $i] : ![Y: $i] : (~r1(X, Y)) <=> ?[X: $i] : ![Y: $i] : (~r1(X, Y))),
% 0.13/0.36 inference(rewrite,[status(thm)],[])).
% 0.13/0.36 tff(13,plain,
% 0.13/0.36 ((~(~?[X: $i] : ![Y: $i] : (~r1(X, Y)))) <=> ?[X: $i] : ![Y: $i] : (~r1(X, Y))),
% 0.13/0.36 inference(rewrite,[status(thm)],[])).
% 0.13/0.36 tff(14,plain,
% 0.13/0.36 ((~?[X: $i] : (~($false | (~![Y: $i] : (((~r1(X, Y)) | $false) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))) <=> (~?[X: $i] : ![Y: $i] : (~r1(X, Y)))),
% 0.13/0.36 inference(rewrite,[status(thm)],[])).
% 0.13/0.36 tff(15,plain,
% 0.13/0.36 ((~(~?[X: $i] : (~($false | (~![Y: $i] : (((~r1(X, Y)) | $false) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))) <=> (~(~?[X: $i] : ![Y: $i] : (~r1(X, Y))))),
% 0.13/0.36 inference(monotonicity,[status(thm)],[14])).
% 0.13/0.36 tff(16,plain,
% 0.13/0.36 ((~(~?[X: $i] : (~($false | (~![Y: $i] : (((~r1(X, Y)) | $false) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))) <=> ?[X: $i] : ![Y: $i] : (~r1(X, Y))),
% 0.13/0.36 inference(transitivity,[status(thm)],[15, 13])).
% 0.13/0.36 tff(17,axiom,(~(~?[X: $i] : (~($false | (~![Y: $i] : (((~r1(X, Y)) | $false) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','main')).
% 0.13/0.36 tff(18,plain,
% 0.13/0.36 (?[X: $i] : ![Y: $i] : (~r1(X, Y))),
% 0.13/0.36 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.13/0.36 tff(19,plain,
% 0.13/0.36 (?[X: $i] : ![Y: $i] : (~r1(X, Y))),
% 0.13/0.36 inference(modus_ponens,[status(thm)],[18, 12])).
% 0.13/0.36 tff(20,plain,(
% 0.13/0.36 $oeq(![Y: $i] : (~r1(X!0, Y)), ![Y: $i] : (~r1(X!0, Y)))),
% 0.13/0.36 inference(transitivity,[status(sab)],[19])).
% 0.13/0.36 tff(21,plain,
% 0.13/0.36 (![Y: $i] : (~r1(X!0, Y))),
% 0.13/0.36 inference(modus_ponens,[status(thm)],[20, 11])).
% 0.13/0.36 tff(22,plain,
% 0.13/0.36 ((~![Y: $i] : (~r1(X!0, Y))) | (~r1(X!0, X!0))),
% 0.13/0.36 inference(quant_inst,[status(thm)],[])).
% 0.13/0.36 tff(23,plain,
% 0.13/0.36 ($false),
% 0.13/0.36 inference(unit_resolution,[status(thm)],[22, 21, 9])).
% 0.13/0.36 % SZS output end Proof
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