%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU359+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 08:41:46 AM UTC 2026
% Result : Theorem 19.32s 3.00s
% Output : CNFRefutation 19.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU359+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n013.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sat Sep 26 09:18:22 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.32/3.00 % SZS status Theorem for theBenchmark.p
% 19.32/3.00 % SZS output start CNFRefutation for theBenchmark.p
% 19.32/3.00 fof(d9_yellow_0, axiom, ! [X0] : (('rel$ustr'(X0) => ! [X1] : ! [X2] : ((element(X2,'the$ucarrier'(X0)) => ('ex$usup$uof$urelstr$uset'(X0,X1) => (X2 = 'join$uon$urelstr'(X0,X1) <=> ('relstr$uset$usmaller'(X0,X1,X2) & ! [X3] : ((element(X3,'the$ucarrier'(X0)) => ('relstr$uset$usmaller'(X0,X1,X3) => related(X0,X2,X3)))))))))))).
% 19.32/3.00 fof(dt_k1_yellow_0, axiom, ! [X0] : ! [X1] : (('rel$ustr'(X0) => element('join$uon$urelstr'(X0,X1),'the$ucarrier'(X0))))).
% 19.32/3.00 fof(t15_yellow_0, axiom, ! [X0] : ((('antisymmetric$urelstr'(X0) & 'rel$ustr'(X0)) => ! [X1] : (('ex$usup$uof$urelstr$uset'(X0,X1) <=> ? [X2] : ((element(X2,'the$ucarrier'(X0)) & ('relstr$uset$usmaller'(X0,X1,X2) & ! [X3] : ((element(X3,'the$ucarrier'(X0)) => ('relstr$uset$usmaller'(X0,X1,X3) => related(X0,X2,X3)))))))))))).
% 19.32/3.00 fof(t30_yellow_0, conjecture, ! [X0] : ((('antisymmetric$urelstr'(X0) & 'rel$ustr'(X0)) => ! [X1] : ((element(X1,'the$ucarrier'(X0)) => ! [X2] : ((((X1 = 'join$uon$urelstr'(X0,X2) & 'ex$usup$uof$urelstr$uset'(X0,X2)) => ('relstr$uset$usmaller'(X0,X2,X1) & ! [X3] : ((element(X3,'the$ucarrier'(X0)) => ('relstr$uset$usmaller'(X0,X2,X3) => related(X0,X1,X3)))))) & (('relstr$uset$usmaller'(X0,X2,X1) & ! [X3] : ((element(X3,'the$ucarrier'(X0)) => ('relstr$uset$usmaller'(X0,X2,X3) => related(X0,X1,X3))))) => (X1 = 'join$uon$urelstr'(X0,X2) & 'ex$usup$uof$urelstr$uset'(X0,X2)))))))))).
% 19.32/3.00 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((('antisymmetric$urelstr'(X0) & 'rel$ustr'(X0)) => ! [X1] : ((element(X1,'the$ucarrier'(X0)) => ! [X2] : ((((X1 = 'join$uon$urelstr'(X0,X2) & 'ex$usup$uof$urelstr$uset'(X0,X2)) => ('relstr$uset$usmaller'(X0,X2,X1) & ! [X3] : ((element(X3,'the$ucarrier'(X0)) => ('relstr$uset$usmaller'(X0,X2,X3) => related(X0,X1,X3)))))) & (('relstr$uset$usmaller'(X0,X2,X1) & ! [X3] : ((element(X3,'the$ucarrier'(X0)) => ('relstr$uset$usmaller'(X0,X2,X3) => related(X0,X1,X3))))) => (X1 = 'join$uon$urelstr'(X0,X2) & 'ex$usup$uof$urelstr$uset'(X0,X2))))))))), inference(negate_conjecture, [status(cth)], [t30_yellow_0])).
% 19.32/3.00 cnf(c0, plain, ~'ex$usup$uof$urelstr$uset'(X0,X1) | ~element(X2,'the$ucarrier'(X0)) | X2 != 'join$uon$urelstr'(X0,X1) | X3(X0,X1,X2) | ~'rel$ustr'(X0), inference(clausification, [status(esa)], [d9_yellow_0])).
% 19.32/3.00 cnf(c1, plain, ~'ex$usup$uof$urelstr$uset'(X0,X1) | X2 = 'join$uon$urelstr'(X0,X1) | ~element(X2,'the$ucarrier'(X0)) | ~X3(X0,X1,X2) | ~'rel$ustr'(X0), inference(clausification, [status(esa)], [d9_yellow_0])).
% 19.32/3.00 cnf(c2, plain, ~X0(X1,X2,X3) | 'relstr$uset$usmaller'(X1,X2,X3), inference(clausification, [status(esa)], [d9_yellow_0])).
% 19.32/3.00 cnf(c3, plain, ~X0(X1,X2,X3) | ~element(X4,'the$ucarrier'(X1)) | ~'relstr$uset$usmaller'(X1,X2,X4) | related(X1,X3,X4), inference(clausification, [status(esa)], [d9_yellow_0])).
% 19.32/3.00 cnf(c4, plain, X0(X1,X2,X3) | ~'relstr$uset$usmaller'(X1,X2,X3) | element(sK5(X1,X2,X3),'the$ucarrier'(X1)), inference(clausification, [status(esa)], [d9_yellow_0])).
% 19.32/3.00 cnf(c5, plain, X0(X1,X2,X3) | ~'relstr$uset$usmaller'(X1,X2,X3) | 'relstr$uset$usmaller'(X1,X2,sK5(X1,X2,X3)), inference(clausification, [status(esa)], [d9_yellow_0])).
% 19.32/3.00 cnf(c6, plain, X0(X1,X2,X3) | ~'relstr$uset$usmaller'(X1,X2,X3) | ~related(X1,X3,sK5(X1,X2,X3)), inference(clausification, [status(esa)], [d9_yellow_0])).
% 19.32/3.00 cnf(c7, plain, ~'rel$ustr'(X0) | element('join$uon$urelstr'(X0,X1),'the$ucarrier'(X0)), inference(clausification, [status(esa)], [dt_k1_yellow_0])).
% 19.32/3.00 cnf(c12, plain, ~'antisymmetric$urelstr'(X0) | ~'rel$ustr'(X0) | ~'ex$usup$uof$urelstr$uset'(X0,X1) | X2(X0,X1), inference(clausification, [status(esa)], [t15_yellow_0])).
% 19.32/3.00 cnf(c13, plain, ~'antisymmetric$urelstr'(X0) | ~'rel$ustr'(X0) | 'ex$usup$uof$urelstr$uset'(X0,X1) | ~X2(X0,X1), inference(clausification, [status(esa)], [t15_yellow_0])).
% 19.32/3.00 cnf(c17, plain, X0(X1,X2) | ~element(X3,'the$ucarrier'(X1)) | ~'relstr$uset$usmaller'(X1,X2,X3) | element(sK19(X1,X2,X3),'the$ucarrier'(X1)), inference(clausification, [status(esa)], [t15_yellow_0])).
% 19.32/3.00 cnf(c18, plain, X0(X1,X2) | ~element(X3,'the$ucarrier'(X1)) | ~'relstr$uset$usmaller'(X1,X2,X3) | 'relstr$uset$usmaller'(X1,X2,sK19(X1,X2,X3)), inference(clausification, [status(esa)], [t15_yellow_0])).
% 19.32/3.00 cnf(c19, plain, X0(X1,X2) | ~element(X3,'the$ucarrier'(X1)) | ~'relstr$uset$usmaller'(X1,X2,X3) | ~related(X1,X3,sK19(X1,X2,X3)), inference(clausification, [status(esa)], [t15_yellow_0])).
% 19.32/3.00 cnf(c20, plain, 'antisymmetric$urelstr'(sK21), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.32/3.00 cnf(c21, plain, 'rel$ustr'(sK21), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.32/3.00 cnf(c22, plain, element(sK22,'the$ucarrier'(sK21)), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.32/3.00 cnf(c23, plain, ~X0(sK21,sK22,sK23) | 'relstr$uset$usmaller'(sK21,sK23,sK22), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.32/3.00 cnf(c24, plain, ~X0(sK21,sK22,sK23) | ~element(X1,'the$ucarrier'(sK21)) | ~'relstr$uset$usmaller'(sK21,sK23,X1) | related(sK21,sK22,X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.32/3.00 cnf(c25, plain, ~X0(sK21,sK22,sK23) | sK22 != 'join$uon$urelstr'(sK21,sK23) | ~'ex$usup$uof$urelstr$uset'(sK21,sK23), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.32/3.00 cnf(c26, plain, X0(X1,X2,X3) | X2 = 'join$uon$urelstr'(X1,X3), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.32/3.00 cnf(c27, plain, X0(X1,X2,X3) | 'ex$usup$uof$urelstr$uset'(X1,X3), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.32/3.00 cnf(c28, plain, X0(X1,X2,X3) | ~'relstr$uset$usmaller'(X1,X3,X2) | element(sK25(X1,X2,X3),'the$ucarrier'(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.32/3.00 cnf(c29, plain, X0(X1,X2,X3) | ~'relstr$uset$usmaller'(X1,X3,X2) | 'relstr$uset$usmaller'(X1,X3,sK25(X1,X2,X3)), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.32/3.00 cnf(c30, plain, X0(X1,X2,X3) | ~'relstr$uset$usmaller'(X1,X3,X2) | ~related(X1,X2,sK25(X1,X2,X3)), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.32/3.00 cnf(d0, plain, ~'rel$ustr'(X0) | ~element('join$uon$urelstr'(X0,X1),'the$ucarrier'(X0)) | ~'ex$usup$uof$urelstr$uset'(X0,X1) | 'Ts0'(X0,X1,'join$uon$urelstr'(X0,X1)), inference(equality_resolution, [status(thm)], [c0])).
% 19.32/3.00 cnf(d1, plain, ~'rel$ustr'(X0) | ~'ex$usup$uof$urelstr$uset'(X0,X1) | 'Ts0'(X0,X1,'join$uon$urelstr'(X0,X1)) | ~'rel$ustr'(X0), inference(resolution, [status(thm)], [d0,c7])).
% 19.32/3.00 cnf(d2, plain, sK22 = 'join$uon$urelstr'(sK21,sK23) | 'relstr$uset$usmaller'(sK21,sK23,sK22), inference(resolution, [status(thm)], [c26,c23])).
% 19.32/3.00 cnf(d3, plain, ~element(X0,'the$ucarrier'(sK21)) | ~'relstr$uset$usmaller'(sK21,sK23,X0) | related(sK21,sK22,X0) | sK22 = 'join$uon$urelstr'(sK21,sK23), inference(resolution, [status(thm)], [c24,c26])).
% 19.32/3.00 cnf(d4, plain, sK22 = 'join$uon$urelstr'(sK21,sK23) | ~element(sK5(sK21,sK23,X0),'the$ucarrier'(sK21)) | related(sK21,sK22,sK5(sK21,sK23,X0)) | 'Ts0'(sK21,sK23,X0) | ~'relstr$uset$usmaller'(sK21,sK23,X0), inference(resolution, [status(thm)], [d3,c5])).
% 19.32/3.00 cnf(d5, plain, sK22 = 'join$uon$urelstr'(sK21,sK23) | 'Ts0'(sK21,sK23,X0) | ~'relstr$uset$usmaller'(sK21,sK23,X0) | related(sK21,sK22,sK5(sK21,sK23,X0)) | 'Ts0'(sK21,sK23,X0) | ~'relstr$uset$usmaller'(sK21,sK23,X0), inference(resolution, [status(thm)], [d4,c4])).
% 19.32/3.00 cnf(d6, plain, sK22 = 'join$uon$urelstr'(sK21,sK23) | 'Ts0'(sK21,sK23,sK22) | ~'relstr$uset$usmaller'(sK21,sK23,sK22) | 'Ts0'(sK21,sK23,sK22) | ~'relstr$uset$usmaller'(sK21,sK23,sK22), inference(resolution, [status(thm)], [d5,c6])).
% 19.32/3.00 cnf(d7, plain, sK22 = 'join$uon$urelstr'(sK21,sK23) | 'Ts0'(sK21,sK23,sK22) | sK22 = 'join$uon$urelstr'(sK21,sK23), inference(resolution, [status(thm)], [d6,d2])).
% 19.32/3.00 cnf(d8, plain, sK22 = 'join$uon$urelstr'(sK21,sK23) | sK22 = 'join$uon$urelstr'(sK21,sK23) | ~'rel$ustr'(sK21) | ~element(sK22,'the$ucarrier'(sK21)) | ~'ex$usup$uof$urelstr$uset'(sK21,sK23), inference(resolution, [status(thm)], [d7,c1])).
% 19.32/3.00 cnf(d9, plain, sK22 = 'join$uon$urelstr'(sK21,sK23) | ~element(sK22,'the$ucarrier'(sK21)) | ~'ex$usup$uof$urelstr$uset'(sK21,sK23), inference(resolution, [status(thm)], [c21,d8])).
% 19.32/3.00 cnf(d10, plain, sK22 = 'join$uon$urelstr'(sK21,sK23) | ~'ex$usup$uof$urelstr$uset'(sK21,sK23), inference(resolution, [status(thm)], [c22,d9])).
% 19.32/3.00 cnf(d11, plain, 'relstr$uset$usmaller'(sK21,sK23,sK22) | 'ex$usup$uof$urelstr$uset'(sK21,sK23), inference(resolution, [status(thm)], [c23,c27])).
% 19.32/3.00 cnf(d12, plain, ~element(X0,'the$ucarrier'(sK21)) | ~'relstr$uset$usmaller'(sK21,sK23,X0) | related(sK21,sK22,X0) | 'ex$usup$uof$urelstr$uset'(sK21,sK23), inference(resolution, [status(thm)], [c24,c27])).
% 19.32/3.00 cnf(d13, plain, ~element(X0,'the$ucarrier'(sK21)) | ~'relstr$uset$usmaller'(sK21,sK23,X0) | 'Ts13'(sK21,sK23) | ~element(sK19(sK21,sK23,X0),'the$ucarrier'(sK21)) | 'ex$usup$uof$urelstr$uset'(sK21,sK23) | related(sK21,sK22,sK19(sK21,sK23,X0)), inference(resolution, [status(thm)], [c18,d12])).
% 19.32/3.00 cnf(d14, plain, ~element(X0,'the$ucarrier'(sK21)) | 'ex$usup$uof$urelstr$uset'(sK21,sK23) | ~'relstr$uset$usmaller'(sK21,sK23,X0) | related(sK21,sK22,sK19(sK21,sK23,X0)) | 'Ts13'(sK21,sK23) | ~element(X0,'the$ucarrier'(sK21)) | ~'relstr$uset$usmaller'(sK21,sK23,X0) | 'Ts13'(sK21,sK23), inference(resolution, [status(thm)], [d13,c17])).
% 19.32/3.00 cnf(d15, plain, ~element(sK22,'the$ucarrier'(sK21)) | 'ex$usup$uof$urelstr$uset'(sK21,sK23) | ~'relstr$uset$usmaller'(sK21,sK23,sK22) | 'Ts13'(sK21,sK23) | ~element(sK22,'the$ucarrier'(sK21)) | ~'relstr$uset$usmaller'(sK21,sK23,sK22) | 'Ts13'(sK21,sK23), inference(resolution, [status(thm)], [d14,c19])).
% 19.32/3.00 cnf(d16, plain, 'ex$usup$uof$urelstr$uset'(sK21,sK23) | ~'relstr$uset$usmaller'(sK21,sK23,sK22) | 'Ts13'(sK21,sK23), inference(resolution, [status(thm)], [c22,d15])).
% 19.32/3.00 cnf(d17, plain, 'ex$usup$uof$urelstr$uset'(sK21,sK23) | 'Ts13'(sK21,sK23) | 'ex$usup$uof$urelstr$uset'(sK21,sK23), inference(resolution, [status(thm)], [d16,d11])).
% 19.32/3.00 cnf(d18, plain, 'Ts13'(sK21,sK23) | ~'rel$ustr'(sK21) | ~'antisymmetric$urelstr'(sK21) | 'Ts13'(sK21,sK23), inference(resolution, [status(thm)], [d17,c12])).
% 19.32/3.00 cnf(d19, plain, ~'rel$ustr'(sK21) | 'Ts13'(sK21,sK23), inference(resolution, [status(thm)], [c20,d18])).
% 19.32/3.00 cnf(d20, plain, 'Ts13'(sK21,sK23), inference(resolution, [status(thm)], [c21,d19])).
% 19.32/3.00 cnf(d21, plain, ~'rel$ustr'(sK21) | 'ex$usup$uof$urelstr$uset'(sK21,sK23) | ~'antisymmetric$urelstr'(sK21), inference(resolution, [status(thm)], [d20,c13])).
% 19.32/3.00 cnf(d22, plain, ~'rel$ustr'(sK21) | 'ex$usup$uof$urelstr$uset'(sK21,sK23), inference(resolution, [status(thm)], [c20,d21])).
% 19.32/3.00 cnf(d23, plain, 'ex$usup$uof$urelstr$uset'(sK21,sK23), inference(resolution, [status(thm)], [c21,d22])).
% 19.32/3.00 cnf(d24, plain, sK22 = 'join$uon$urelstr'(sK21,sK23), inference(resolution, [status(thm)], [d23,d10])).
% 19.32/3.00 cnf(d25, plain, 'Ts0'(sK21,sK23,sK22) | ~'rel$ustr'(sK21) | ~'ex$usup$uof$urelstr$uset'(sK21,sK23), inference(superposition, [status(thm)], [d24,d1])).
% 19.32/3.00 cnf(d26, plain, ~'ex$usup$uof$urelstr$uset'(sK21,sK23) | 'Ts0'(sK21,sK23,sK22), inference(resolution, [status(thm)], [c21,d25])).
% 19.32/3.00 cnf(d27, plain, 'Ts0'(sK21,sK23,sK22), inference(resolution, [status(thm)], [d23,d26])).
% 19.32/3.00 cnf(d28, plain, ~'relstr$uset$usmaller'(X0,X1,X2) | 'Ts20'(X0,X2,X1) | ~element(sK25(X0,X2,X1),'the$ucarrier'(X0)) | ~'Ts0'(X0,X1,X3) | related(X0,X3,sK25(X0,X2,X1)), inference(resolution, [status(thm)], [c29,c3])).
% 19.32/3.00 cnf(d29, plain, ~'Ts0'(X0,X1,X2) | ~'relstr$uset$usmaller'(X0,X1,X3) | related(X0,X2,sK25(X0,X3,X1)) | 'Ts20'(X0,X3,X1) | ~'relstr$uset$usmaller'(X0,X1,X3) | 'Ts20'(X0,X3,X1), inference(resolution, [status(thm)], [d28,c28])).
% 19.32/3.00 cnf(d30, plain, ~'Ts0'(X0,X1,X2) | ~'relstr$uset$usmaller'(X0,X1,X2) | 'Ts20'(X0,X2,X1) | ~'relstr$uset$usmaller'(X0,X1,X2) | 'Ts20'(X0,X2,X1), inference(resolution, [status(thm)], [d29,c30])).
% 19.32/3.00 cnf(d31, plain, ~'rel$ustr'(X0) | ~'ex$usup$uof$urelstr$uset'(X0,X1) | 'relstr$uset$usmaller'(X0,X1,'join$uon$urelstr'(X0,X1)), inference(resolution, [status(thm)], [d1,c2])).
% 19.32/3.00 cnf(d32, plain, 'relstr$uset$usmaller'(sK21,sK23,sK22) | ~'rel$ustr'(sK21) | ~'ex$usup$uof$urelstr$uset'(sK21,sK23), inference(superposition, [status(thm)], [d24,d31])).
% 19.32/3.00 cnf(d33, plain, ~'ex$usup$uof$urelstr$uset'(sK21,sK23) | 'relstr$uset$usmaller'(sK21,sK23,sK22), inference(resolution, [status(thm)], [c21,d32])).
% 19.32/3.00 cnf(d34, plain, 'relstr$uset$usmaller'(sK21,sK23,sK22), inference(resolution, [status(thm)], [d23,d33])).
% 19.32/3.00 cnf(d35, plain, ~'Ts0'(sK21,sK23,sK22) | 'Ts20'(sK21,sK22,sK23), inference(resolution, [status(thm)], [d34,d30])).
% 19.32/3.00 cnf(d36, plain, sK22 != 'join$uon$urelstr'(sK21,sK23) | ~'Ts20'(sK21,sK22,sK23), inference(resolution, [status(thm)], [d23,c25])).
% 19.32/3.00 cnf(d37, plain, sK22 != sK22 | ~'Ts20'(sK21,sK22,sK23), inference(demodulation, [status(thm)], [d36,d24])).
% 19.32/3.00 cnf(d38, plain, ~'Ts20'(sK21,sK22,sK23), inference(equality_resolution, [status(thm)], [d37])).
% 19.32/3.00 cnf(d39, plain, ~'Ts0'(sK21,sK23,sK22), inference(resolution, [status(thm)], [d38,d35])).
% 19.32/3.00 cnf(d40, plain, $false, inference(resolution, [status(thm)], [d39,d27])).
% 19.32/3.00 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------