TSTP Solution File: KLE057+1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KLE057+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n018.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 : Sat Sep 17 17:24:03 EDT 2022
% Result : Theorem 0.15s 0.34s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : KLE057+1 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.09 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.09/0.29 % Computer : n018.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Thu Sep 1 08:13:12 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.09/0.30 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.09/0.30 Usage: tptp [options] [-file:]file
% 0.09/0.30 -h, -? prints this message.
% 0.09/0.30 -smt2 print SMT-LIB2 benchmark.
% 0.09/0.30 -m, -model generate model.
% 0.09/0.30 -p, -proof generate proof.
% 0.09/0.30 -c, -core generate unsat core of named formulas.
% 0.09/0.30 -st, -statistics display statistics.
% 0.09/0.30 -t:timeout set timeout (in second).
% 0.09/0.30 -smt2status display status in smt2 format instead of SZS.
% 0.09/0.30 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.09/0.30 -<param>:<value> configuration parameter and value.
% 0.09/0.30 -o:<output-file> file to place output in.
% 0.15/0.34 % SZS status Theorem
% 0.15/0.34 % SZS output start Proof
% 0.15/0.34 tff(zero_type, type, (
% 0.15/0.34 zero: $i)).
% 0.15/0.34 tff(domain_type, type, (
% 0.15/0.34 domain: $i > $i)).
% 0.15/0.34 tff(tptp_fun_X0_0_type, type, (
% 0.15/0.34 tptp_fun_X0_0: $i)).
% 0.15/0.34 tff(1,plain,
% 0.15/0.34 ((domain(zero) = zero) <=> (domain(zero) = zero)),
% 0.15/0.34 inference(rewrite,[status(thm)],[])).
% 0.15/0.34 tff(2,axiom,(domain(zero) = zero), file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax','domain4')).
% 0.15/0.34 tff(3,plain,
% 0.15/0.34 (domain(zero) = zero),
% 0.15/0.34 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.15/0.34 tff(4,plain,
% 0.15/0.34 ((~![X0: $i] : ((~(X0 = zero)) | (domain(X0) = zero))) <=> (~![X0: $i] : ((~(X0 = zero)) | (domain(X0) = zero)))),
% 0.15/0.34 inference(rewrite,[status(thm)],[])).
% 0.15/0.34 tff(5,plain,
% 0.15/0.34 ((~![X0: $i] : ((X0 = zero) => (domain(X0) = zero))) <=> (~![X0: $i] : ((~(X0 = zero)) | (domain(X0) = zero)))),
% 0.15/0.34 inference(rewrite,[status(thm)],[])).
% 0.15/0.34 tff(6,axiom,(~![X0: $i] : ((X0 = zero) => (domain(X0) = zero))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','goals')).
% 0.15/0.34 tff(7,plain,
% 0.15/0.34 (~![X0: $i] : ((~(X0 = zero)) | (domain(X0) = zero))),
% 0.15/0.34 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.15/0.34 tff(8,plain,
% 0.15/0.34 (~![X0: $i] : ((~(X0 = zero)) | (domain(X0) = zero))),
% 0.15/0.34 inference(modus_ponens,[status(thm)],[7, 4])).
% 0.15/0.34 tff(9,plain,
% 0.15/0.34 (~![X0: $i] : ((~(X0 = zero)) | (domain(X0) = zero))),
% 0.15/0.34 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.15/0.34 tff(10,plain,
% 0.15/0.34 (~![X0: $i] : ((~(X0 = zero)) | (domain(X0) = zero))),
% 0.15/0.34 inference(modus_ponens,[status(thm)],[9, 4])).
% 0.15/0.34 tff(11,plain,
% 0.15/0.34 (~![X0: $i] : ((~(X0 = zero)) | (domain(X0) = zero))),
% 0.15/0.34 inference(modus_ponens,[status(thm)],[10, 4])).
% 0.15/0.34 tff(12,plain,
% 0.15/0.34 (~![X0: $i] : ((~(X0 = zero)) | (domain(X0) = zero))),
% 0.15/0.34 inference(modus_ponens,[status(thm)],[11, 4])).
% 0.15/0.34 tff(13,plain,
% 0.15/0.34 (~![X0: $i] : ((~(X0 = zero)) | (domain(X0) = zero))),
% 0.15/0.34 inference(modus_ponens,[status(thm)],[12, 4])).
% 0.15/0.34 tff(14,plain,(
% 0.15/0.34 ~((~(X0!0 = zero)) | (domain(X0!0) = zero))),
% 0.15/0.34 inference(skolemize,[status(sab)],[13])).
% 0.15/0.34 tff(15,plain,
% 0.15/0.34 (X0!0 = zero),
% 0.15/0.34 inference(or_elim,[status(thm)],[14])).
% 0.15/0.34 tff(16,plain,
% 0.15/0.34 (domain(X0!0) = domain(zero)),
% 0.15/0.34 inference(monotonicity,[status(thm)],[15])).
% 0.15/0.34 tff(17,plain,
% 0.15/0.34 (domain(X0!0) = zero),
% 0.15/0.34 inference(transitivity,[status(thm)],[16, 3])).
% 0.15/0.34 tff(18,plain,
% 0.15/0.34 (~(domain(X0!0) = zero)),
% 0.15/0.34 inference(or_elim,[status(thm)],[14])).
% 0.15/0.34 tff(19,plain,
% 0.15/0.34 ($false),
% 0.15/0.34 inference(unit_resolution,[status(thm)],[18, 17])).
% 0.15/0.34 % SZS output end Proof
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