TSTP Solution File: SYN403+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN403+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n002.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 23:55:11 EDT 2022
% Result : Theorem 0.20s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN403+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Sep 5 03:21:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.20/0.38 % SZS status Theorem
% 0.20/0.38 % SZS output start Proof
% 0.20/0.38 tff(g_type, type, (
% 0.20/0.38 g: $i > $o)).
% 0.20/0.38 tff(tptp_fun_X_0_type, type, (
% 0.20/0.38 tptp_fun_X_0: $i)).
% 0.20/0.38 tff(f_type, type, (
% 0.20/0.38 f: $i > $o)).
% 0.20/0.38 tff(h_type, type, (
% 0.20/0.38 h: $i > $o)).
% 0.20/0.38 tff(1,plain,
% 0.20/0.38 ((~![X: $i] : (h(X) | (~f(X)) | (~((g(X) | (~f(X))) & (h(X) | (~g(X))))))) <=> (~![X: $i] : (h(X) | (~f(X)) | (~((g(X) | (~f(X))) & (h(X) | (~g(X)))))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(2,plain,
% 0.20/0.38 ((~![X: $i] : (((f(X) => g(X)) & (g(X) => h(X))) => (f(X) => h(X)))) <=> (~![X: $i] : (h(X) | (~f(X)) | (~((g(X) | (~f(X))) & (h(X) | (~g(X)))))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(3,axiom,(~![X: $i] : (((f(X) => g(X)) & (g(X) => h(X))) => (f(X) => h(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','kalish234')).
% 0.20/0.38 tff(4,plain,
% 0.20/0.38 (~![X: $i] : (h(X) | (~f(X)) | (~((g(X) | (~f(X))) & (h(X) | (~g(X))))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.20/0.38 tff(5,plain,
% 0.20/0.38 (~![X: $i] : (h(X) | (~f(X)) | (~((g(X) | (~f(X))) & (h(X) | (~g(X))))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.20/0.38 tff(6,plain,
% 0.20/0.38 (~![X: $i] : (h(X) | (~f(X)) | (~((g(X) | (~f(X))) & (h(X) | (~g(X))))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.20/0.38 tff(7,plain,
% 0.20/0.38 (~![X: $i] : (h(X) | (~f(X)) | (~((g(X) | (~f(X))) & (h(X) | (~g(X))))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.20/0.38 tff(8,plain,
% 0.20/0.38 (~![X: $i] : (h(X) | (~f(X)) | (~((g(X) | (~f(X))) & (h(X) | (~g(X))))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[7, 1])).
% 0.20/0.38 tff(9,plain,
% 0.20/0.38 (~![X: $i] : (h(X) | (~f(X)) | (~((g(X) | (~f(X))) & (h(X) | (~g(X))))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[8, 1])).
% 0.20/0.38 tff(10,plain,
% 0.20/0.38 (~![X: $i] : (h(X) | (~f(X)) | (~((g(X) | (~f(X))) & (h(X) | (~g(X))))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[9, 1])).
% 0.20/0.38 tff(11,plain,(
% 0.20/0.38 ~(h(X!0) | (~f(X!0)) | (~((g(X!0) | (~f(X!0))) & (h(X!0) | (~g(X!0))))))),
% 0.20/0.38 inference(skolemize,[status(sab)],[10])).
% 0.20/0.38 tff(12,plain,
% 0.20/0.38 (f(X!0)),
% 0.20/0.38 inference(or_elim,[status(thm)],[11])).
% 0.20/0.38 tff(13,plain,
% 0.20/0.38 ((g(X!0) | (~f(X!0))) & (h(X!0) | (~g(X!0)))),
% 0.20/0.38 inference(or_elim,[status(thm)],[11])).
% 0.20/0.38 tff(14,plain,
% 0.20/0.38 (g(X!0) | (~f(X!0))),
% 0.20/0.38 inference(and_elim,[status(thm)],[13])).
% 0.20/0.38 tff(15,plain,
% 0.20/0.38 (g(X!0)),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[14, 12])).
% 0.20/0.38 tff(16,plain,
% 0.20/0.38 (~h(X!0)),
% 0.20/0.38 inference(or_elim,[status(thm)],[11])).
% 0.20/0.38 tff(17,plain,
% 0.20/0.38 (h(X!0) | (~g(X!0))),
% 0.20/0.38 inference(and_elim,[status(thm)],[13])).
% 0.20/0.38 tff(18,plain,
% 0.20/0.38 ($false),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[17, 16, 15])).
% 0.20/0.38 % SZS output end Proof
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