%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWX034+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 09:15:25 AM UTC 2026
% Result : Theorem 59.17s 21.38s
% Output : CNFRefutation 59.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWX034+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n007.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sat Sep 26 16:41:54 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 59.17/21.38 % SZS status Theorem for theBenchmark.p
% 59.17/21.38 % SZS output start CNFRefutation for theBenchmark.p
% 59.17/21.38 fof(id1, axiom, ! [X0] : '\'0\'' != s(X0)).
% 59.17/21.38 fof(id2, axiom, ! [X0] : ! [X1] : ((s(X0) = s(X1) => X0 = X1))).
% 59.17/21.38 fof(id17, axiom, ! [X0] : ! [X1] : ! [X2] : (('times$uterminates'(X0,X1,X2) <=> (! [X3] : ! [X4] : (($true & (X0 != s(X3) | ('times$uterminates'(X3,X1,X4) & ('times$ufails'(X3,X1,X4) | 'plus$uterminates'(X1,X4,X2)))))) & ($true & (X0 != '\'0\'' | $true)))))).
% 59.17/21.38 fof(lemma-(plus:termination:1), axiom, ! [X0] : ! [X1] : ! [X2] : (('nat$usucceeds'(X0) => 'plus$uterminates'(X0,X1,X2)))).
% 59.17/21.38 fof(induction, axiom, (! [X0] : (((? [X1] : ((X0 = s(X1) & ('nat$usucceeds'(X1) & ! [X2] : ! [X3] : (('nat$usucceeds'(X2) => 'times$uterminates'(X1,X2,X3)))))) | X0 = '\'0\'') => ! [X2] : ! [X3] : (('nat$usucceeds'(X2) => 'times$uterminates'(X0,X2,X3))))) => ! [X0] : (('nat$usucceeds'(X0) => ! [X2] : ! [X3] : (('nat$usucceeds'(X2) => 'times$uterminates'(X0,X2,X3))))))).
% 59.17/21.38 fof(lemma-(times:termination), conjecture, ! [X0] : ! [X1] : ! [X2] : ((('nat$usucceeds'(X0) & 'nat$usucceeds'(X1)) => 'times$uterminates'(X0,X1,X2)))).
% 59.17/21.39 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ((('nat$usucceeds'(X0) & 'nat$usucceeds'(X1)) => 'times$uterminates'(X0,X1,X2))), inference(negate_conjecture, [status(cth)], [lemma-(times:termination)])).
% 59.17/21.39 cnf(c0, plain, s(X0) != '\'0\'', inference(clausification, [status(esa)], [id1])).
% 59.17/21.39 cnf(c1, plain, s(X0) != s(X1) | X0 = X1, inference(clausification, [status(esa)], [id2])).
% 59.17/21.39 cnf(c31, plain, 'times$uterminates'(X0,X1,X2) | s(sK47(X0,X1,X2)) = X0, inference(clausification, [status(esa)], [id17])).
% 59.17/21.39 cnf(c33, plain, 'times$uterminates'(X0,X1,X2) | ~'times$uterminates'(sK47(X0,X1,X2),X1,sK48(X0,X1,X2)) | ~'plus$uterminates'(X1,sK48(X0,X1,X2),X2), inference(clausification, [status(esa)], [id17])).
% 59.17/21.39 cnf(c101, plain, ~'nat$usucceeds'(X0) | 'plus$uterminates'(X0,X1,X2), inference(clausification, [status(esa)], [lemma-(plus:termination:1)])).
% 59.17/21.39 cnf(c124, plain, X0 | ~'nat$usucceeds'(X1) | ~'nat$usucceeds'(X2) | 'times$uterminates'(X1,X2,X3), inference(clausification, [status(esa)], [induction])).
% 59.17/21.39 cnf(c125, plain, ~X0 | s(sK198) = sK197 | sK197 = '\'0\'', inference(clausification, [status(esa)], [induction])).
% 59.17/21.39 cnf(c126, plain, ~X0 | ~'nat$usucceeds'(X1) | 'times$uterminates'(sK198,X1,X2) | sK197 = '\'0\'', inference(clausification, [status(esa)], [induction])).
% 59.17/21.39 cnf(c128, plain, ~X0 | 'nat$usucceeds'(sK201), inference(clausification, [status(esa)], [induction])).
% 59.17/21.39 cnf(c129, plain, ~X0 | ~'times$uterminates'(sK197,sK201,sK202), inference(clausification, [status(esa)], [induction])).
% 59.17/21.39 cnf(c130, plain, 'nat$usucceeds'(sK204), inference(clausification, [status(esa)], [negated_conjecture])).
% 59.17/21.39 cnf(c131, plain, 'nat$usucceeds'(sK203), inference(clausification, [status(esa)], [negated_conjecture])).
% 59.17/21.39 cnf(c132, plain, ~'times$uterminates'(sK203,sK204,sK205), inference(clausification, [status(esa)], [negated_conjecture])).
% 59.17/21.39 cnf(d0, plain, ~'nat$usucceeds'(sK204) | ~'nat$usucceeds'(sK203) | 'Ts193', inference(resolution, [status(thm)], [c124,c132])).
% 59.17/21.39 cnf(d1, plain, ~'nat$usucceeds'(sK203) | 'Ts193', inference(resolution, [status(thm)], [c130,d0])).
% 59.17/21.39 cnf(d2, plain, 'Ts193', inference(resolution, [status(thm)], [c131,d1])).
% 59.17/21.39 cnf(d3, plain, sK197 = '\'0\'' | 'times$uterminates'(sK198,X0,X1) | ~'nat$usucceeds'(X0), inference(resolution, [status(thm)], [d2,c126])).
% 59.17/21.39 cnf(d4, plain, ~'times$uterminates'(sK197,sK201,sK202), inference(resolution, [status(thm)], [d2,c129])).
% 59.17/21.39 cnf(d5, plain, s(sK47(sK197,sK201,sK202)) = sK197, inference(resolution, [status(thm)], [d4,c31])).
% 59.17/21.39 cnf(d6, plain, sK197 != '\'0\'', inference(superposition, [status(thm)], [d5,c0])).
% 59.17/21.39 cnf(d7, plain, 'times$uterminates'(sK198,X0,X1) | ~'nat$usucceeds'(X0), inference(resolution, [status(thm)], [d6,d3])).
% 59.17/21.39 cnf(d8, plain, s(sK198) = sK197 | sK197 = '\'0\'', inference(resolution, [status(thm)], [d2,c125])).
% 59.17/21.39 cnf(d9, plain, s(sK198) = sK197, inference(resolution, [status(thm)], [d6,d8])).
% 59.17/21.39 cnf(d10, plain, s(X0) != sK197 | X0 = sK198, inference(superposition, [status(thm)], [d9,c1])).
% 59.17/21.39 cnf(d11, plain, sK197 != sK197 | sK47(sK197,sK201,sK202) = sK198, inference(superposition, [status(thm)], [d5,d10])).
% 59.17/21.39 cnf(d12, plain, s(sK47(sK197,sK201,sK202)) = sK197 | ~'Ts193', inference(resolution, [status(thm)], [c31,c129])).
% 59.17/21.39 cnf(d13, plain, sK197 = sK197 | ~'Ts193', inference(demodulation, [status(thm)], [d12,d5])).
% 59.17/21.39 cnf(d14, plain, sK197 = sK197, inference(resolution, [status(thm)], [d2,d13])).
% 59.17/21.39 cnf(d15, plain, sK47(sK197,sK201,sK202) = sK198, inference(resolution, [status(thm)], [d14,d11])).
% 59.17/21.39 cnf(d16, plain, ~'times$uterminates'(sK198,sK201,sK48(sK197,sK201,sK202)) | 'times$uterminates'(sK197,sK201,sK202) | ~'plus$uterminates'(sK201,sK48(sK197,sK201,sK202),sK202), inference(superposition, [status(thm)], [d15,c33])).
% 59.17/21.39 cnf(d17, plain, ~'times$uterminates'(sK198,sK201,sK48(sK197,sK201,sK202)) | ~'plus$uterminates'(sK201,sK48(sK197,sK201,sK202),sK202), inference(resolution, [status(thm)], [d4,d16])).
% 59.17/21.39 cnf(d18, plain, ~'times$uterminates'(sK198,sK201,sK48(sK197,sK201,sK202)) | ~'nat$usucceeds'(sK201), inference(resolution, [status(thm)], [d17,c101])).
% 59.17/21.39 cnf(d19, plain, 'nat$usucceeds'(sK201), inference(resolution, [status(thm)], [d2,c128])).
% 59.17/21.39 cnf(d20, plain, ~'times$uterminates'(sK198,sK201,sK48(sK197,sK201,sK202)), inference(resolution, [status(thm)], [d19,d18])).
% 59.17/21.39 cnf(d21, plain, ~'nat$usucceeds'(sK201), inference(resolution, [status(thm)], [d20,d7])).
% 59.17/21.39 cnf(d22, plain, $false, inference(resolution, [status(thm)], [d19,d21])).
% 59.17/21.39 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------