%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : COM147+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 06:59:49 AM UTC 2026
% Result : Theorem 21.31s 4.08s
% Output : CNFRefutation 21.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM147+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 23:36:40 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.03/0.36 % Process 2392303 was started by sandbox on n006,
% 0.03/0.36 % Sat Sep 26 23:36:40 2026
% 0.03/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.21/0.51
% 0.21/0.51 % From the command line: assign(max_seconds, 300).
% 21.31/4.08
% 21.31/4.08 % given #500 (I,wt=26): 964 -vtcheck(vbind(A,B,C),D,E) | vtcheck(C,vabs(A,B,D),varrow(B,E)) # tptp_name(T-abs). [clausify(52)].
% 21.31/4.08
% 21.31/4.08 % SZS status Theorem for theBenchmark
% 21.31/4.08
% 21.31/4.08 % Proof 1 at 3.44 (+ 0.09) seconds.
% 21.31/4.08 % Length of proof is 6.
% 21.31/4.08 % Level of proof is 3.
% 21.31/4.08 % Maximum clause weight is 18.000.
% 21.31/4.08 % Given clauses 747.
% 21.31/4.08
% 21.31/4.08 % SZS output start CNFRefutation for theBenchmark
% 21.31/4.08 fof(isValue0, axiom, ! [Vx,VS,Ve,VExp0] : (VExp0 = vabs(Vx,VS,Ve) => visValue(VExp0)), file('theBenchmark.p',isValue0)).
% 21.31/4.08 fof(T-Progress-T-abs, conjecture, ! [VTin,Vx,VS] : ((vtcheck(vempty,vabs(Vx,VS,ve1),VTin) & ~ (visValue(vabs(Vx,VS,ve1)))) => ? [Veout] : vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout)), file('theBenchmark.p',T-Progress-T-abs)).
% 21.31/4.08 fof(T-Progress-T-abs_neg, negated_conjecture, ~(! [VTin,Vx,VS] : ((vtcheck(vempty,vabs(Vx,VS,ve1),VTin) & ~ (visValue(vabs(Vx,VS,ve1)))) => ? [Veout] : vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout))), inference(assume_negation, [status(cth)], [T-Progress-T-abs])).
% 21.31/4.08 fof(nnf_58, plain, ? [VTin,Vx,VS] : (vtcheck(vempty,vabs(Vx,VS,ve1),VTin) & ~ (visValue(vabs(Vx,VS,ve1))) & ! [Veout] : ~ (vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout))), inference(fof_nnf, [status(thm)], [T-Progress-T-abs_neg])).
% 21.31/4.08 fof(sk_T-Progress-T-abs_neg, plain, (vtcheck(vempty,vabs(sK0,sK1,ve1),sK2) & ~ (visValue(vabs(sK0,sK1,ve1))) & ! [Veout] : ~ (vreduce(vabs(sK0,sK1,ve1)) = vsomeExp(Veout))), inference(skolemize, [status(esa), new_symbols(skolem, [sK0,sK1,sK2]), skolemize(VTin,sK2), skolemize(Vx,sK0), skolemize(VS,sK1)], [nnf_58])).
% 21.31/4.08 cnf(c_989, negated_conjecture, ~visValue(vabs(sK0,sK1,ve1)), inference(split_conjunct, [status(thm)], [sk_T-Progress-T-abs_neg])).
% 21.31/4.08 cnf(c_1252, plain, vabs(A,B,C) != D | visValue(D), inference(clausify, [status(thm)], [isValue0])).
% 21.31/4.08 cnf(c_5049, plain, visValue(vabs(A,B,C)),
% 21.31/4.08 inference(xxres, [status(thm)], [c_1252])).
% 21.31/4.08 cnf(c_5050, plain, $false,
% 21.31/4.08 inference(resolve, [status(thm)], [c_5049, c_989])).
% 21.31/4.08 % SZS output end CNFRefutation for theBenchmark
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