TSTP Solution File: SYN326-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN326-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n020.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 23:54:43 EDT 2022
% Result : Unsatisfiable 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN326-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n020.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 02:36:29 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.
% 0.13/0.39 % SZS status Unsatisfiable
% 0.13/0.39 % SZS output start Proof
% 0.13/0.39 tff(f_type, type, (
% 0.13/0.39 f: ( $i * $i ) > $o)).
% 0.13/0.39 tff(z_type, type, (
% 0.13/0.39 z: $i > $i)).
% 0.13/0.39 tff(y_type, type, (
% 0.13/0.39 y: $i > $i)).
% 0.13/0.39 tff(elem_0_type, type, (
% 0.13/0.39 elem_0: $i)).
% 0.13/0.39 tff(h_type, type, (
% 0.13/0.39 h: $i > $o)).
% 0.13/0.39 tff(g_type, type, (
% 0.13/0.39 g: $i > $o)).
% 0.13/0.39 tff(1,assumption,(f(z(elem!0), z(elem!0))), introduced(assumption)).
% 0.13/0.39 tff(2,plain,
% 0.13/0.39 (^[X: $i] : refl((~f(z(X), z(X))) <=> (~f(z(X), z(X))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(3,plain,
% 0.13/0.39 (![X: $i] : (~f(z(X), z(X))) <=> ![X: $i] : (~f(z(X), z(X)))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[2])).
% 0.13/0.39 tff(4,plain,
% 0.13/0.39 (![X: $i] : (~f(z(X), z(X))) <=> ![X: $i] : (~f(z(X), z(X)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(5,axiom,(![X: $i] : (~f(z(X), z(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause7')).
% 0.13/0.39 tff(6,plain,
% 0.13/0.39 (![X: $i] : (~f(z(X), z(X)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.13/0.39 tff(7,plain,(
% 0.13/0.39 ![X: $i] : (~f(z(X), z(X)))),
% 0.13/0.39 inference(skolemize,[status(sab)],[6])).
% 0.13/0.39 tff(8,plain,
% 0.13/0.39 (![X: $i] : (~f(z(X), z(X)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.13/0.39 tff(9,plain,
% 0.13/0.39 ((~![X: $i] : (~f(z(X), z(X)))) | (~f(z(elem!0), z(elem!0)))),
% 0.13/0.39 inference(quant_inst,[status(thm)],[])).
% 0.13/0.39 tff(10,plain,
% 0.13/0.39 ($false),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 0.13/0.39 tff(11,plain,(~f(z(elem!0), z(elem!0))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.39 tff(12,plain,
% 0.13/0.39 (^[X: $i] : refl((g(y(X)) | f(X, X)) <=> (g(y(X)) | f(X, X)))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(13,plain,
% 0.13/0.39 (![X: $i] : (g(y(X)) | f(X, X)) <=> ![X: $i] : (g(y(X)) | f(X, X))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[12])).
% 0.13/0.39 tff(14,plain,
% 0.13/0.39 (![X: $i] : (g(y(X)) | f(X, X)) <=> ![X: $i] : (g(y(X)) | f(X, X))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(15,axiom,(![X: $i] : (g(y(X)) | f(X, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause2')).
% 0.13/0.39 tff(16,plain,
% 0.13/0.39 (![X: $i] : (g(y(X)) | f(X, X))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.13/0.39 tff(17,plain,(
% 0.13/0.39 ![X: $i] : (g(y(X)) | f(X, X))),
% 0.13/0.39 inference(skolemize,[status(sab)],[16])).
% 0.13/0.39 tff(18,plain,
% 0.13/0.39 (![X: $i] : (g(y(X)) | f(X, X))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.13/0.39 tff(19,plain,
% 0.13/0.39 (((~![X: $i] : (g(y(X)) | f(X, X))) | (g(y(z(elem!0))) | f(z(elem!0), z(elem!0)))) <=> ((~![X: $i] : (g(y(X)) | f(X, X))) | g(y(z(elem!0))) | f(z(elem!0), z(elem!0)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(20,plain,
% 0.13/0.39 ((~![X: $i] : (g(y(X)) | f(X, X))) | (g(y(z(elem!0))) | f(z(elem!0), z(elem!0)))),
% 0.13/0.39 inference(quant_inst,[status(thm)],[])).
% 0.13/0.39 tff(21,plain,
% 0.13/0.39 ((~![X: $i] : (g(y(X)) | f(X, X))) | g(y(z(elem!0))) | f(z(elem!0), z(elem!0))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.13/0.39 tff(22,plain,
% 0.13/0.39 (g(y(z(elem!0)))),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[21, 18, 11])).
% 0.13/0.39 tff(23,plain,
% 0.13/0.39 (^[X: $i] : refl((h(z(X)) | (~g(X))) <=> (h(z(X)) | (~g(X))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(24,plain,
% 0.13/0.39 (![X: $i] : (h(z(X)) | (~g(X))) <=> ![X: $i] : (h(z(X)) | (~g(X)))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[23])).
% 0.13/0.39 tff(25,plain,
% 0.13/0.39 (![X: $i] : (h(z(X)) | (~g(X))) <=> ![X: $i] : (h(z(X)) | (~g(X)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(26,plain,
% 0.13/0.39 (^[X: $i] : rewrite(((~g(X)) | h(z(X))) <=> (h(z(X)) | (~g(X))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(27,plain,
% 0.13/0.39 (![X: $i] : ((~g(X)) | h(z(X))) <=> ![X: $i] : (h(z(X)) | (~g(X)))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[26])).
% 0.13/0.39 tff(28,axiom,(![X: $i] : ((~g(X)) | h(z(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause5')).
% 0.13/0.39 tff(29,plain,
% 0.13/0.39 (![X: $i] : (h(z(X)) | (~g(X)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.13/0.39 tff(30,plain,
% 0.13/0.39 (![X: $i] : (h(z(X)) | (~g(X)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[29, 25])).
% 0.13/0.39 tff(31,plain,(
% 0.13/0.39 ![X: $i] : (h(z(X)) | (~g(X)))),
% 0.13/0.39 inference(skolemize,[status(sab)],[30])).
% 0.13/0.39 tff(32,plain,
% 0.13/0.39 (![X: $i] : (h(z(X)) | (~g(X)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[31, 24])).
% 0.13/0.39 tff(33,plain,
% 0.13/0.39 (((~![X: $i] : (h(z(X)) | (~g(X)))) | (h(z(y(z(elem!0)))) | (~g(y(z(elem!0)))))) <=> ((~![X: $i] : (h(z(X)) | (~g(X)))) | h(z(y(z(elem!0)))) | (~g(y(z(elem!0)))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(34,plain,
% 0.13/0.40 ((~![X: $i] : (h(z(X)) | (~g(X)))) | (h(z(y(z(elem!0)))) | (~g(y(z(elem!0)))))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(35,plain,
% 0.13/0.40 ((~![X: $i] : (h(z(X)) | (~g(X)))) | h(z(y(z(elem!0)))) | (~g(y(z(elem!0))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.13/0.40 tff(36,plain,
% 0.13/0.40 (h(z(y(z(elem!0))))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[35, 32, 22])).
% 0.13/0.40 tff(37,plain,
% 0.13/0.40 (^[X: $i] : refl(((~h(X)) | f(X, X)) <=> ((~h(X)) | f(X, X)))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(38,plain,
% 0.13/0.40 (![X: $i] : ((~h(X)) | f(X, X)) <=> ![X: $i] : ((~h(X)) | f(X, X))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[37])).
% 0.13/0.40 tff(39,plain,
% 0.13/0.40 (![X: $i] : ((~h(X)) | f(X, X)) <=> ![X: $i] : ((~h(X)) | f(X, X))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(40,axiom,(![X: $i] : ((~h(X)) | f(X, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause3')).
% 0.13/0.40 tff(41,plain,
% 0.13/0.40 (![X: $i] : ((~h(X)) | f(X, X))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.13/0.40 tff(42,plain,(
% 0.13/0.40 ![X: $i] : ((~h(X)) | f(X, X))),
% 0.13/0.40 inference(skolemize,[status(sab)],[41])).
% 0.13/0.40 tff(43,plain,
% 0.13/0.40 (![X: $i] : ((~h(X)) | f(X, X))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[42, 38])).
% 0.13/0.40 tff(44,plain,
% 0.13/0.40 (((~![X: $i] : ((~h(X)) | f(X, X))) | ((~h(z(y(z(elem!0))))) | f(z(y(z(elem!0))), z(y(z(elem!0)))))) <=> ((~![X: $i] : ((~h(X)) | f(X, X))) | (~h(z(y(z(elem!0))))) | f(z(y(z(elem!0))), z(y(z(elem!0)))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(45,plain,
% 0.13/0.40 ((~![X: $i] : ((~h(X)) | f(X, X))) | ((~h(z(y(z(elem!0))))) | f(z(y(z(elem!0))), z(y(z(elem!0)))))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(46,plain,
% 0.13/0.40 ((~![X: $i] : ((~h(X)) | f(X, X))) | (~h(z(y(z(elem!0))))) | f(z(y(z(elem!0))), z(y(z(elem!0))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.13/0.40 tff(47,plain,
% 0.13/0.40 (f(z(y(z(elem!0))), z(y(z(elem!0))))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[46, 43, 36])).
% 0.13/0.40 tff(48,plain,
% 0.13/0.40 ((~![X: $i] : (~f(z(X), z(X)))) | (~f(z(y(z(elem!0))), z(y(z(elem!0)))))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(49,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[48, 8, 47])).
% 0.13/0.40 % SZS output end Proof
%------------------------------------------------------------------------------