%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NUM850+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:18:13 AM UTC 2026
% Result : Theorem 0.17s 5.44s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM850+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.39 % Computer : n014.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Sat Sep 26 04:13:23 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/5.39 % Process 2114961 was started by sandbox2 on n014,
% 0.11/5.39 % Sat Sep 26 04:13:23 2026
% 0.11/5.39 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/5.41
% 0.17/5.41 % From the command line: assign(max_seconds, 300).
% 0.17/5.44
% 0.17/5.44 % SZS status Theorem for theBenchmark
% 0.17/5.44
% 0.17/5.44 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.17/5.44 % Length of proof is 6.
% 0.17/5.44 % Level of proof is 2.
% 0.17/5.44 % Maximum clause weight is 10.000.
% 0.17/5.44 % Given clauses 40.
% 0.17/5.44
% 0.17/5.44 % SZS output start CNFRefutation for theBenchmark
% 0.17/5.44 fof('def(cond(conseq(axiom(3)), 11), 1)', axiom, ! [Vd193,Vd194] : (greater(Vd194,Vd193) <=> ? [Vd196] : Vd194 = vplus(Vd193,Vd196)), file('theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)')).
% 0.17/5.44 fof('qe(conseq_conjunct1(conseq(302)))', conjecture, ? [Vd473] : vd470 = vplus(vd471,Vd473), file('theBenchmark.p','qe(conseq_conjunct1(conseq(302)))')).
% 0.17/5.44 fof('qe(conseq_conjunct1(conseq(302)))_neg', negated_conjecture, ~(? [Vd473] : vd470 = vplus(vd471,Vd473)), inference(assume_negation, [status(cth)], ['qe(conseq_conjunct1(conseq(302)))'])).
% 0.17/5.44 fof('holds(antec(302), 472, 0)', axiom, (greater(vd470,vd471)), file('theBenchmark.p','holds(antec(302), 472, 0)')).
% 0.17/5.44 cnf(c_51, plain, greater(vd470,vd471), inference(clausify, [status(thm)], ['holds(antec(302), 472, 0)'])).
% 0.17/5.44 fof(nnf_33, plain, ! [Vd193,Vd194] : ((~ (greater(Vd194,Vd193)) | ? [X0] : vplus(Vd193,X0) = Vd194) & (greater(Vd194,Vd193) | ! [Vd196] : ~ (vplus(Vd193,Vd196) = Vd194))), inference(fof_nnf, [status(thm)], ['def(cond(conseq(axiom(3)), 11), 1)'])).
% 0.17/5.44 fof('sk_def(cond(conseq(axiom(3)), 11), 1)'_sk, plain, ! [Vd193,Vd194] : ((~ (greater(Vd194,Vd193)) | vplus(Vd193,sK0(Vd193,Vd194)) = Vd194) & (greater(Vd194,Vd193) | ! [Vd196] : ~ (vplus(Vd193,Vd196) = Vd194))), inference(skolemize, [status(esa), new_symbols(skolem, [sK0]), skolemize(X0,sK0(Vd193,Vd194))], [nnf_33])).
% 0.17/5.44 fof('sk_def(cond(conseq(axiom(3)), 11), 1)', plain, (! [VAR_0,VAR_1] : (~ (greater(VAR_0,VAR_1)) | vplus(VAR_1,sK0(VAR_1,VAR_0)) = VAR_0) & ! [VAR_0,VAR_1,VAR_2] : (greater(VAR_0,VAR_1) | ~ (vplus(VAR_1,VAR_2) = VAR_0))), inference(cnf_transformation, [status(thm)], ['sk_def(cond(conseq(axiom(3)), 11), 1)'_sk])).
% 0.17/5.44 cnf(c_92, plain, ~greater(A,B) | vplus(B,sK0(B,A)) = A, inference(split_conjunct, [status(thm)], ['sk_def(cond(conseq(axiom(3)), 11), 1)'])).
% 0.17/5.44 cnf(c_114, negated_conjecture, vplus(vd471,A) != vd470, inference(clausify, [status(thm)], ['qe(conseq_conjunct1(conseq(302)))_neg'])).
% 0.17/5.44 cnf(c_160, plain, vplus(vd471,sK0(vd471,vd470)) = vd470,
% 0.17/5.44 inference(resolve, [status(thm)], [c_92, c_51])).
% 0.17/5.44 cnf(c_159, negated_conjecture, $false,
% 0.17/5.44 inference(resolve, [status(thm)], [c_114, c_160])).
% 0.17/5.44 % SZS output end CNFRefutation for theBenchmark
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