TSTP Solution File: SYN955+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN955+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n025.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 00:01:23 EDT 2022
% Result : Theorem 0.18s 0.38s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN955+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Sep 5 09:50:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.33 Usage: tptp [options] [-file:]file
% 0.12/0.33 -h, -? prints this message.
% 0.12/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.33 -m, -model generate model.
% 0.12/0.33 -p, -proof generate proof.
% 0.12/0.33 -c, -core generate unsat core of named formulas.
% 0.12/0.33 -st, -statistics display statistics.
% 0.12/0.33 -t:timeout set timeout (in second).
% 0.12/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.33 -<param>:<value> configuration parameter and value.
% 0.12/0.33 -o:<output-file> file to place output in.
% 0.18/0.38 % SZS status Theorem
% 0.18/0.38 % SZS output start Proof
% 0.18/0.38 tff(b_type, type, (
% 0.18/0.38 b: $i > $o)).
% 0.18/0.38 tff(tptp_fun_X_0_type, type, (
% 0.18/0.38 tptp_fun_X_0: $i)).
% 0.18/0.38 tff(a_type, type, (
% 0.18/0.38 a: $i > $o)).
% 0.18/0.38 tff(1,plain,
% 0.18/0.38 (^[X: $i] : refl((b(X) | (~a(X))) <=> (b(X) | (~a(X))))),
% 0.18/0.38 inference(bind,[status(th)],[])).
% 0.18/0.38 tff(2,plain,
% 0.18/0.38 (![X: $i] : (b(X) | (~a(X))) <=> ![X: $i] : (b(X) | (~a(X)))),
% 0.18/0.38 inference(quant_intro,[status(thm)],[1])).
% 0.18/0.38 tff(3,plain,
% 0.18/0.38 (![X: $i] : (b(X) | (~a(X))) <=> ![X: $i] : (b(X) | (~a(X)))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(4,plain,
% 0.18/0.38 ((~(![X: $i] : (a(X) => b(X)) => (?[X: $i] : a(X) => ?[X: $i] : b(X)))) <=> (~(?[X: $i] : b(X) | (~?[X: $i] : a(X)) | (~![X: $i] : (b(X) | (~a(X))))))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(5,axiom,(~(![X: $i] : (a(X) => b(X)) => (?[X: $i] : a(X) => ?[X: $i] : b(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this')).
% 0.18/0.38 tff(6,plain,
% 0.18/0.38 (~(?[X: $i] : b(X) | (~?[X: $i] : a(X)) | (~![X: $i] : (b(X) | (~a(X)))))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.18/0.38 tff(7,plain,
% 0.18/0.38 (![X: $i] : (b(X) | (~a(X)))),
% 0.18/0.38 inference(or_elim,[status(thm)],[6])).
% 0.18/0.38 tff(8,plain,
% 0.18/0.38 (![X: $i] : (b(X) | (~a(X)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.18/0.38 tff(9,plain,(
% 0.18/0.38 ![X: $i] : (b(X) | (~a(X)))),
% 0.18/0.38 inference(skolemize,[status(sab)],[8])).
% 0.18/0.38 tff(10,plain,
% 0.18/0.38 (![X: $i] : (b(X) | (~a(X)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.18/0.38 tff(11,plain,
% 0.18/0.38 (?[X: $i] : a(X) <=> ?[X: $i] : a(X)),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(12,plain,
% 0.18/0.38 (?[X: $i] : a(X)),
% 0.18/0.38 inference(or_elim,[status(thm)],[6])).
% 0.18/0.38 tff(13,plain,
% 0.18/0.38 (?[X: $i] : a(X)),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.18/0.38 tff(14,plain,(
% 0.18/0.38 a(X!0)),
% 0.18/0.38 inference(skolemize,[status(sab)],[13])).
% 0.18/0.38 tff(15,plain,
% 0.18/0.38 (((~![X: $i] : (b(X) | (~a(X)))) | (b(X!0) | (~a(X!0)))) <=> ((~![X: $i] : (b(X) | (~a(X)))) | b(X!0) | (~a(X!0)))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(16,plain,
% 0.18/0.38 ((~![X: $i] : (b(X) | (~a(X)))) | (b(X!0) | (~a(X!0)))),
% 0.18/0.38 inference(quant_inst,[status(thm)],[])).
% 0.18/0.38 tff(17,plain,
% 0.18/0.38 ((~![X: $i] : (b(X) | (~a(X)))) | b(X!0) | (~a(X!0))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.18/0.38 tff(18,plain,
% 0.18/0.38 (b(X!0)),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[17, 14, 10])).
% 0.18/0.38 tff(19,plain,
% 0.18/0.38 (^[X: $i] : refl((~b(X)) <=> (~b(X)))),
% 0.18/0.38 inference(bind,[status(th)],[])).
% 0.18/0.38 tff(20,plain,
% 0.18/0.38 (![X: $i] : (~b(X)) <=> ![X: $i] : (~b(X))),
% 0.18/0.38 inference(quant_intro,[status(thm)],[19])).
% 0.18/0.38 tff(21,plain,
% 0.18/0.38 ((~?[X: $i] : b(X)) <=> (~?[X: $i] : b(X))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(22,plain,
% 0.18/0.38 (~?[X: $i] : b(X)),
% 0.18/0.38 inference(or_elim,[status(thm)],[6])).
% 0.18/0.38 tff(23,plain,
% 0.18/0.38 (~?[X: $i] : b(X)),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.18/0.38 tff(24,plain,
% 0.18/0.38 (~?[X: $i] : b(X)),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[23, 21])).
% 0.18/0.38 tff(25,plain,
% 0.18/0.38 (~?[X: $i] : b(X)),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[24, 21])).
% 0.18/0.38 tff(26,plain,
% 0.18/0.38 (~?[X: $i] : b(X)),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[25, 21])).
% 0.18/0.38 tff(27,plain,
% 0.18/0.38 (~?[X: $i] : b(X)),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[26, 21])).
% 0.18/0.38 tff(28,plain,
% 0.18/0.38 (~?[X: $i] : b(X)),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[27, 21])).
% 0.18/0.38 tff(29,plain,
% 0.18/0.38 (^[X: $i] : refl($oeq((~b(X)), (~b(X))))),
% 0.18/0.38 inference(bind,[status(th)],[])).
% 0.18/0.38 tff(30,plain,(
% 0.18/0.38 ![X: $i] : (~b(X))),
% 0.18/0.38 inference(nnf-neg,[status(sab)],[28, 29])).
% 0.18/0.38 tff(31,plain,
% 0.18/0.38 (![X: $i] : (~b(X))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[30, 20])).
% 0.18/0.38 tff(32,plain,
% 0.18/0.38 ((~![X: $i] : (~b(X))) | (~b(X!0))),
% 0.18/0.38 inference(quant_inst,[status(thm)],[])).
% 0.18/0.38 tff(33,plain,
% 0.18/0.38 ($false),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[32, 31, 18])).
% 0.18/0.38 % SZS output end Proof
%------------------------------------------------------------------------------