TSTP Solution File: SYN319-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN319-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n015.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 23:54:41 EDT 2022
% Result : Unsatisfiable 0.19s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN319-1 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n015.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 : Mon Sep 5 02:43:12 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.19/0.34 Usage: tptp [options] [-file:]file
% 0.19/0.34 -h, -? prints this message.
% 0.19/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.19/0.34 -m, -model generate model.
% 0.19/0.34 -p, -proof generate proof.
% 0.19/0.34 -c, -core generate unsat core of named formulas.
% 0.19/0.34 -st, -statistics display statistics.
% 0.19/0.34 -t:timeout set timeout (in second).
% 0.19/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.19/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.19/0.34 -<param>:<value> configuration parameter and value.
% 0.19/0.34 -o:<output-file> file to place output in.
% 0.19/0.38 % SZS status Unsatisfiable
% 0.19/0.38 % SZS output start Proof
% 0.19/0.38 tff(g_type, type, (
% 0.19/0.38 g: $i > $o)).
% 0.19/0.38 tff(z2_type, type, (
% 0.19/0.38 z2: ( $i * $i ) > $i)).
% 0.19/0.38 tff(elem_0_type, type, (
% 0.19/0.38 elem_0: $i)).
% 0.19/0.38 tff(h_type, type, (
% 0.19/0.38 h: $i > $o)).
% 0.19/0.38 tff(f_type, type, (
% 0.19/0.38 f: $i > $o)).
% 0.19/0.38 tff(1,plain,
% 0.19/0.38 (^[Y: $i, X: $i] : refl((~h(z2(X, Y))) <=> (~h(z2(X, Y))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(2,plain,
% 0.19/0.38 (![Y: $i, X: $i] : (~h(z2(X, Y))) <=> ![Y: $i, X: $i] : (~h(z2(X, Y)))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[1])).
% 0.19/0.38 tff(3,plain,
% 0.19/0.38 (![Y: $i, X: $i] : (~h(z2(X, Y))) <=> ![Y: $i, X: $i] : (~h(z2(X, Y)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(4,axiom,(![Y: $i, X: $i] : (~h(z2(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause7')).
% 0.19/0.38 tff(5,plain,
% 0.19/0.38 (![Y: $i, X: $i] : (~h(z2(X, Y)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.19/0.38 tff(6,plain,(
% 0.19/0.38 ![Y: $i, X: $i] : (~h(z2(X, Y)))),
% 0.19/0.38 inference(skolemize,[status(sab)],[5])).
% 0.19/0.38 tff(7,plain,
% 0.19/0.38 (![Y: $i, X: $i] : (~h(z2(X, Y)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.19/0.38 tff(8,plain,
% 0.19/0.38 ((~![Y: $i, X: $i] : (~h(z2(X, Y)))) | (~h(z2(elem!0, elem!0)))),
% 0.19/0.38 inference(quant_inst,[status(thm)],[])).
% 0.19/0.38 tff(9,plain,
% 0.19/0.38 (~h(z2(elem!0, elem!0))),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.19/0.38 tff(10,plain,
% 0.19/0.38 (^[X: $i] : refl((h(X) | (~g(X))) <=> (h(X) | (~g(X))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(11,plain,
% 0.19/0.38 (![X: $i] : (h(X) | (~g(X))) <=> ![X: $i] : (h(X) | (~g(X)))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[10])).
% 0.19/0.38 tff(12,plain,
% 0.19/0.38 (![X: $i] : (h(X) | (~g(X))) <=> ![X: $i] : (h(X) | (~g(X)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(13,plain,
% 0.19/0.38 (^[X: $i] : rewrite(((~g(X)) | h(X)) <=> (h(X) | (~g(X))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(14,plain,
% 0.19/0.38 (![X: $i] : ((~g(X)) | h(X)) <=> ![X: $i] : (h(X) | (~g(X)))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[13])).
% 0.19/0.38 tff(15,axiom,(![X: $i] : ((~g(X)) | h(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause6')).
% 0.19/0.38 tff(16,plain,
% 0.19/0.38 (![X: $i] : (h(X) | (~g(X)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.19/0.38 tff(17,plain,
% 0.19/0.38 (![X: $i] : (h(X) | (~g(X)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[16, 12])).
% 0.19/0.38 tff(18,plain,(
% 0.19/0.38 ![X: $i] : (h(X) | (~g(X)))),
% 0.19/0.38 inference(skolemize,[status(sab)],[17])).
% 0.19/0.38 tff(19,plain,
% 0.19/0.38 (![X: $i] : (h(X) | (~g(X)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[18, 11])).
% 0.19/0.38 tff(20,plain,
% 0.19/0.38 (((~![X: $i] : (h(X) | (~g(X)))) | (h(z2(elem!0, elem!0)) | (~g(z2(elem!0, elem!0))))) <=> ((~![X: $i] : (h(X) | (~g(X)))) | h(z2(elem!0, elem!0)) | (~g(z2(elem!0, elem!0))))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(21,plain,
% 0.19/0.38 ((~![X: $i] : (h(X) | (~g(X)))) | (h(z2(elem!0, elem!0)) | (~g(z2(elem!0, elem!0))))),
% 0.19/0.38 inference(quant_inst,[status(thm)],[])).
% 0.19/0.38 tff(22,plain,
% 0.19/0.38 ((~![X: $i] : (h(X) | (~g(X)))) | h(z2(elem!0, elem!0)) | (~g(z2(elem!0, elem!0)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.19/0.38 tff(23,plain,
% 0.19/0.38 (~g(z2(elem!0, elem!0))),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[22, 19, 9])).
% 0.19/0.38 tff(24,plain,
% 0.19/0.38 (^[X: $i] : refl((h(X) | (~f(X))) <=> (h(X) | (~f(X))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(25,plain,
% 0.19/0.38 (![X: $i] : (h(X) | (~f(X))) <=> ![X: $i] : (h(X) | (~f(X)))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[24])).
% 0.19/0.38 tff(26,plain,
% 0.19/0.38 (![X: $i] : (h(X) | (~f(X))) <=> ![X: $i] : (h(X) | (~f(X)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(27,plain,
% 0.19/0.38 (^[X: $i] : rewrite(((~f(X)) | h(X)) <=> (h(X) | (~f(X))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(28,plain,
% 0.19/0.38 (![X: $i] : ((~f(X)) | h(X)) <=> ![X: $i] : (h(X) | (~f(X)))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[27])).
% 0.19/0.38 tff(29,axiom,(![X: $i] : ((~f(X)) | h(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause5')).
% 0.19/0.38 tff(30,plain,
% 0.19/0.38 (![X: $i] : (h(X) | (~f(X)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.19/0.38 tff(31,plain,
% 0.19/0.38 (![X: $i] : (h(X) | (~f(X)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[30, 26])).
% 0.19/0.38 tff(32,plain,(
% 0.19/0.38 ![X: $i] : (h(X) | (~f(X)))),
% 0.19/0.38 inference(skolemize,[status(sab)],[31])).
% 0.19/0.38 tff(33,plain,
% 0.19/0.39 (![X: $i] : (h(X) | (~f(X)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[32, 25])).
% 0.19/0.39 tff(34,plain,
% 0.19/0.39 (((~![X: $i] : (h(X) | (~f(X)))) | (h(z2(elem!0, elem!0)) | (~f(z2(elem!0, elem!0))))) <=> ((~![X: $i] : (h(X) | (~f(X)))) | h(z2(elem!0, elem!0)) | (~f(z2(elem!0, elem!0))))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(35,plain,
% 0.19/0.39 ((~![X: $i] : (h(X) | (~f(X)))) | (h(z2(elem!0, elem!0)) | (~f(z2(elem!0, elem!0))))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(36,plain,
% 0.19/0.39 ((~![X: $i] : (h(X) | (~f(X)))) | h(z2(elem!0, elem!0)) | (~f(z2(elem!0, elem!0)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.19/0.39 tff(37,plain,
% 0.19/0.39 (~f(z2(elem!0, elem!0))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[36, 33, 9])).
% 0.19/0.39 tff(38,plain,
% 0.19/0.39 (^[Y: $i, X: $i] : refl((f(Y) | g(X)) <=> (f(Y) | g(X)))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(39,plain,
% 0.19/0.39 (![Y: $i, X: $i] : (f(Y) | g(X)) <=> ![Y: $i, X: $i] : (f(Y) | g(X))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[38])).
% 0.19/0.39 tff(40,plain,
% 0.19/0.39 (![Y: $i, X: $i] : (f(Y) | g(X)) <=> ![Y: $i, X: $i] : (f(Y) | g(X))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(41,axiom,(![Y: $i, X: $i] : (f(Y) | g(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause1')).
% 0.19/0.39 tff(42,plain,
% 0.19/0.39 (![Y: $i, X: $i] : (f(Y) | g(X))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.19/0.39 tff(43,plain,(
% 0.19/0.39 ![Y: $i, X: $i] : (f(Y) | g(X))),
% 0.19/0.39 inference(skolemize,[status(sab)],[42])).
% 0.19/0.39 tff(44,plain,
% 0.19/0.39 (![Y: $i, X: $i] : (f(Y) | g(X))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[43, 39])).
% 0.19/0.39 tff(45,plain,
% 0.19/0.39 (((~![Y: $i, X: $i] : (f(Y) | g(X))) | (f(z2(elem!0, elem!0)) | g(z2(elem!0, elem!0)))) <=> ((~![Y: $i, X: $i] : (f(Y) | g(X))) | f(z2(elem!0, elem!0)) | g(z2(elem!0, elem!0)))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(46,plain,
% 0.19/0.39 ((~![Y: $i, X: $i] : (f(Y) | g(X))) | (f(z2(elem!0, elem!0)) | g(z2(elem!0, elem!0)))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(47,plain,
% 0.19/0.39 ((~![Y: $i, X: $i] : (f(Y) | g(X))) | f(z2(elem!0, elem!0)) | g(z2(elem!0, elem!0))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.19/0.39 tff(48,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[47, 44, 37, 23])).
% 0.19/0.39 % SZS output end Proof
%------------------------------------------------------------------------------