TSTP Solution File: SYN925+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN925+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n013.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 00:01:17 EDT 2022
% Result : Theorem 0.21s 0.39s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN925+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n013.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 09:28:02 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.
% 0.21/0.39 % SZS status Theorem
% 0.21/0.39 % SZS output start Proof
% 0.21/0.39 tff(p_type, type, (
% 0.21/0.39 p: $i > $o)).
% 0.21/0.39 tff(tptp_fun_X_0_type, type, (
% 0.21/0.39 tptp_fun_X_0: $i)).
% 0.21/0.39 tff(1,plain,
% 0.21/0.39 (((~![Y: $i] : (~((~p(Y)) | p(X!0)))) | $false) <=> (~![Y: $i] : (~((~p(Y)) | p(X!0))))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(2,plain,
% 0.21/0.39 ((~$true) <=> $false),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(3,plain,
% 0.21/0.39 (((~p(X!0)) | p(X!0)) <=> $true),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(4,plain,
% 0.21/0.39 ((~((~p(X!0)) | p(X!0))) <=> (~$true)),
% 0.21/0.39 inference(monotonicity,[status(thm)],[3])).
% 0.21/0.39 tff(5,plain,
% 0.21/0.39 ((~((~p(X!0)) | p(X!0))) <=> $false),
% 0.21/0.39 inference(transitivity,[status(thm)],[4, 2])).
% 0.21/0.39 tff(6,plain,
% 0.21/0.39 (((~![Y: $i] : (~((~p(Y)) | p(X!0)))) | (~((~p(X!0)) | p(X!0)))) <=> ((~![Y: $i] : (~((~p(Y)) | p(X!0)))) | $false)),
% 0.21/0.39 inference(monotonicity,[status(thm)],[5])).
% 0.21/0.39 tff(7,plain,
% 0.21/0.39 (((~![Y: $i] : (~((~p(Y)) | p(X!0)))) | (~((~p(X!0)) | p(X!0)))) <=> (~![Y: $i] : (~((~p(Y)) | p(X!0))))),
% 0.21/0.39 inference(transitivity,[status(thm)],[6, 1])).
% 0.21/0.39 tff(8,plain,
% 0.21/0.39 ((~![Y: $i] : (~((~p(Y)) | p(X!0)))) | (~((~p(X!0)) | p(X!0)))),
% 0.21/0.39 inference(quant_inst,[status(thm)],[])).
% 0.21/0.39 tff(9,plain,
% 0.21/0.39 (~![Y: $i] : (~((~p(Y)) | p(X!0)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.21/0.39 tff(10,plain,
% 0.21/0.39 (^[Y: $i] : refl((~((~p(Y)) | p(X!0))) <=> (~((~p(Y)) | p(X!0))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(11,plain,
% 0.21/0.39 (![Y: $i] : (~((~p(Y)) | p(X!0))) <=> ![Y: $i] : (~((~p(Y)) | p(X!0)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[10])).
% 0.21/0.39 tff(12,plain,
% 0.21/0.39 (^[Y: $i] : rewrite((p(Y) & (~p(X!0))) <=> (~((~p(Y)) | p(X!0))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(13,plain,
% 0.21/0.39 (![Y: $i] : (p(Y) & (~p(X!0))) <=> ![Y: $i] : (~((~p(Y)) | p(X!0)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[12])).
% 0.21/0.39 tff(14,plain,
% 0.21/0.39 (^[Y: $i] : rewrite(((~(~p(Y))) & (~p(X!0))) <=> (p(Y) & (~p(X!0))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(15,plain,
% 0.21/0.39 (![Y: $i] : ((~(~p(Y))) & (~p(X!0))) <=> ![Y: $i] : (p(Y) & (~p(X!0)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[14])).
% 0.21/0.39 tff(16,plain,
% 0.21/0.39 ((~?[Y: $i] : ((~p(Y)) | ![X: $i] : p(X))) <=> (~?[Y: $i] : ((~p(Y)) | ![X: $i] : p(X)))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(17,plain,
% 0.21/0.39 ((~?[Y: $i] : (p(Y) => ![X: $i] : p(X))) <=> (~?[Y: $i] : ((~p(Y)) | ![X: $i] : p(X)))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(18,axiom,(~?[Y: $i] : (p(Y) => ![X: $i] : p(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this')).
% 0.21/0.39 tff(19,plain,
% 0.21/0.39 (~?[Y: $i] : ((~p(Y)) | ![X: $i] : p(X))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.21/0.39 tff(20,plain,
% 0.21/0.39 (~?[Y: $i] : ((~p(Y)) | ![X: $i] : p(X))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[19, 16])).
% 0.21/0.39 tff(21,plain,
% 0.21/0.39 (~?[Y: $i] : ((~p(Y)) | ![X: $i] : p(X))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.21/0.39 tff(22,plain,
% 0.21/0.39 (~?[Y: $i] : ((~p(Y)) | ![X: $i] : p(X))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[21, 16])).
% 0.21/0.39 tff(23,plain,
% 0.21/0.39 (~?[Y: $i] : ((~p(Y)) | ![X: $i] : p(X))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[22, 16])).
% 0.21/0.39 tff(24,plain,
% 0.21/0.39 (~?[Y: $i] : ((~p(Y)) | ![X: $i] : p(X))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[23, 16])).
% 0.21/0.39 tff(25,plain,
% 0.21/0.39 (~?[Y: $i] : ((~p(Y)) | ![X: $i] : p(X))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[24, 16])).
% 0.21/0.39 tff(26,plain,
% 0.21/0.39 (^[Y: $i] : nnf_neg(refl($oeq((~(~p(Y))), (~(~p(Y))))), sk($oeq((~![X: $i] : p(X)), (~p(X!0)))), $oeq((~((~p(Y)) | ![X: $i] : p(X))), ((~(~p(Y))) & (~p(X!0)))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(27,plain,(
% 0.21/0.39 ![Y: $i] : ((~(~p(Y))) & (~p(X!0)))),
% 0.21/0.39 inference(nnf-neg,[status(sab)],[25, 26])).
% 0.21/0.39 tff(28,plain,
% 0.21/0.39 (![Y: $i] : (p(Y) & (~p(X!0)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[27, 15])).
% 0.21/0.39 tff(29,plain,
% 0.21/0.39 (![Y: $i] : (~((~p(Y)) | p(X!0)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[28, 13])).
% 0.21/0.39 tff(30,plain,
% 0.21/0.39 (![Y: $i] : (~((~p(Y)) | p(X!0)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[29, 11])).
% 0.21/0.39 tff(31,plain,
% 0.21/0.39 ($false),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[30, 9])).
% 0.21/0.39 % SZS output end Proof
%------------------------------------------------------------------------------