%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU356+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 08:41:45 AM UTC 2026
% Result : Theorem 8.84s 2.81s
% Output : CNFRefutation 8.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU356+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sat Sep 26 09:18:45 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.84/2.81 % SZS status Theorem for theBenchmark.p
% 8.84/2.81 % SZS output start CNFRefutation for theBenchmark.p
% 8.84/2.81 fof(d7_yellow_0, axiom, ! [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$usmaller'(X0,X1,X3) => related(X0,X2,X3)))) & ! [X3] : ((element(X3,'the$ucarrier'(X0)) => (('relstr$uset$usmaller'(X0,X1,X3) & ! [X4] : ((element(X4,'the$ucarrier'(X0)) => ('relstr$uset$usmaller'(X0,X1,X4) => related(X0,X3,X4))))) => X3 = X2)))))))))))).
% 8.84/2.81 fof(t25_orders_2, axiom, ! [X0] : ((('antisymmetric$urelstr'(X0) & 'rel$ustr'(X0)) => ! [X1] : ((element(X1,'the$ucarrier'(X0)) => ! [X2] : ((element(X2,'the$ucarrier'(X0)) => ((related(X0,X1,X2) & related(X0,X2,X1)) => X1 = X2)))))))).
% 8.84/2.81 fof(t15_yellow_0, conjecture, ! [X0] : ((('antisymmetric$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$usmaller'(X0,X1,X3) => related(X0,X2,X3)))))))))))).
% 8.84/2.81 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((('antisymmetric$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$usmaller'(X0,X1,X3) => related(X0,X2,X3))))))))))), inference(negate_conjecture, [status(cth)], [t15_yellow_0])).
% 8.84/2.81 cnf(c0, plain, ~'rel$ustr'(X0) | ~'ex$usup$uof$urelstr$uset'(X0,X1) | X2(X0,X1), inference(clausification, [status(esa)], [d7_yellow_0])).
% 8.84/2.81 cnf(c1, plain, ~'rel$ustr'(X0) | 'ex$usup$uof$urelstr$uset'(X0,X1) | ~X2(X0,X1), inference(clausification, [status(esa)], [d7_yellow_0])).
% 8.84/2.81 cnf(c5, plain, X0(X1,X2,X3) | element(sK6(X1,X2,X3),'the$ucarrier'(X1)), inference(clausification, [status(esa)], [d7_yellow_0])).
% 8.84/2.81 cnf(c6, plain, X0(X1,X2,X3) | 'relstr$uset$usmaller'(X1,X2,sK6(X1,X2,X3)), inference(clausification, [status(esa)], [d7_yellow_0])).
% 8.84/2.81 cnf(c7, plain, X0(X1,X2,X3) | ~element(X4,'the$ucarrier'(X1)) | ~'relstr$uset$usmaller'(X1,X2,X4) | related(X1,sK6(X1,X2,X3),X4), inference(clausification, [status(esa)], [d7_yellow_0])).
% 8.84/2.81 cnf(c8, plain, X0(X1,X2,X3) | sK6(X1,X2,X3) != X3, inference(clausification, [status(esa)], [d7_yellow_0])).
% 8.84/2.81 cnf(c9, plain, ~X0(X1,X2) | element(sK8(X1,X2),'the$ucarrier'(X1)), inference(clausification, [status(esa)], [d7_yellow_0])).
% 8.84/2.81 cnf(c10, plain, ~X0(X1,X2) | 'relstr$uset$usmaller'(X1,X2,sK8(X1,X2)), inference(clausification, [status(esa)], [d7_yellow_0])).
% 8.84/2.81 cnf(c11, plain, ~X0(X1,X2) | ~element(X3,'the$ucarrier'(X1)) | ~'relstr$uset$usmaller'(X1,X2,X3) | related(X1,sK8(X1,X2),X3), inference(clausification, [status(esa)], [d7_yellow_0])).
% 8.84/2.81 cnf(c13, plain, element(sK11(X0,X1,X2),'the$ucarrier'(X0)) | ~element(X2,'the$ucarrier'(X0)) | ~X3(X0,X1,X2) | X4(X0,X1) | ~'relstr$uset$usmaller'(X0,X1,X2), inference(clausification, [status(esa)], [d7_yellow_0])).
% 8.84/2.81 cnf(c14, plain, ~element(X0,'the$ucarrier'(X1)) | ~X2(X1,X3,X0) | ~'relstr$uset$usmaller'(X1,X3,X0) | 'relstr$uset$usmaller'(X1,X3,sK11(X1,X3,X0)) | X4(X1,X3), inference(clausification, [status(esa)], [d7_yellow_0])).
% 8.84/2.81 cnf(c15, plain, ~element(X0,'the$ucarrier'(X1)) | ~X2(X1,X3,X0) | X4(X1,X3) | ~'relstr$uset$usmaller'(X1,X3,X0) | ~related(X1,X0,sK11(X1,X3,X0)), inference(clausification, [status(esa)], [d7_yellow_0])).
% 8.84/2.81 cnf(c20, plain, ~'antisymmetric$urelstr'(X0) | ~element(X1,'the$ucarrier'(X0)) | ~element(X2,'the$ucarrier'(X0)) | ~related(X0,X2,X1) | X1 = X2 | ~'rel$ustr'(X0) | ~related(X0,X1,X2), inference(clausification, [status(esa)], [t25_orders_2])).
% 8.84/2.81 cnf(c21, plain, 'antisymmetric$urelstr'(sK21), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.84/2.81 cnf(c22, plain, 'rel$ustr'(sK21), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.84/2.81 cnf(c24, plain, 'ex$usup$uof$urelstr$uset'(sK21,sK22) | X0(sK21,sK22), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.84/2.81 cnf(c25, plain, ~X0(sK21,sK22) | ~'ex$usup$uof$urelstr$uset'(sK21,sK22), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.84/2.81 cnf(c27, plain, ~X0(X1,X2) | element(sK23(X1,X2),'the$ucarrier'(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.84/2.81 cnf(c28, plain, ~X0(X1,X2) | 'relstr$uset$usmaller'(X1,X2,sK23(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.84/2.81 cnf(c29, plain, ~X0(X1,X2) | ~element(X3,'the$ucarrier'(X1)) | ~'relstr$uset$usmaller'(X1,X2,X3) | related(X1,sK23(X1,X2),X3), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.84/2.81 cnf(c30, plain, X0(X1,X2) | ~element(X3,'the$ucarrier'(X1)) | ~'relstr$uset$usmaller'(X1,X2,X3) | element(sK26(X1,X2,X3),'the$ucarrier'(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.84/2.81 cnf(c31, plain, X0(X1,X2) | ~element(X3,'the$ucarrier'(X1)) | ~'relstr$uset$usmaller'(X1,X2,X3) | 'relstr$uset$usmaller'(X1,X2,sK26(X1,X2,X3)), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.84/2.81 cnf(c32, plain, X0(X1,X2) | ~element(X3,'the$ucarrier'(X1)) | ~'relstr$uset$usmaller'(X1,X2,X3) | ~related(X1,X3,sK26(X1,X2,X3)), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.84/2.81 cnf(d0, plain, 'Ts1'(X0,X1) | ~element(sK23(X0,X2),'the$ucarrier'(X0)) | ~'Ts0'(X0,X1,sK23(X0,X2)) | ~'relstr$uset$usmaller'(X0,X1,sK23(X0,X2)) | ~element(sK11(X0,X1,sK23(X0,X2)),'the$ucarrier'(X0)) | ~'relstr$uset$usmaller'(X0,X2,sK11(X0,X1,sK23(X0,X2))) | ~'Ts20'(X0,X2), inference(resolution, [status(thm)], [c15,c29])).
% 8.84/2.81 cnf(d1, plain, 'Ts1'(X0,X1) | ~element(sK11(X0,X1,sK23(X0,X1)),'the$ucarrier'(X0)) | ~element(sK23(X0,X1),'the$ucarrier'(X0)) | ~'Ts0'(X0,X1,sK23(X0,X1)) | ~'relstr$uset$usmaller'(X0,X1,sK23(X0,X1)) | ~'Ts20'(X0,X1) | 'Ts1'(X0,X1) | ~element(sK23(X0,X1),'the$ucarrier'(X0)) | ~'Ts0'(X0,X1,sK23(X0,X1)) | ~'relstr$uset$usmaller'(X0,X1,sK23(X0,X1)), inference(resolution, [status(thm)], [d0,c14])).
% 8.84/2.81 cnf(d2, plain, 'Ts1'(X0,X1) | ~element(sK23(X0,X1),'the$ucarrier'(X0)) | ~'Ts0'(X0,X1,sK23(X0,X1)) | ~'relstr$uset$usmaller'(X0,X1,sK23(X0,X1)) | ~'Ts20'(X0,X1) | 'Ts1'(X0,X1) | ~element(sK23(X0,X1),'the$ucarrier'(X0)) | ~'Ts0'(X0,X1,sK23(X0,X1)) | ~'relstr$uset$usmaller'(X0,X1,sK23(X0,X1)), inference(resolution, [status(thm)], [d1,c13])).
% 8.84/2.81 cnf(d3, plain, 'Ts1'(X0,X1) | ~element(sK23(X0,X1),'the$ucarrier'(X0)) | ~'Ts0'(X0,X1,sK23(X0,X1)) | ~'Ts20'(X0,X1) | ~'Ts20'(X0,X1), inference(resolution, [status(thm)], [d2,c28])).
% 8.84/2.81 cnf(d4, plain, 'Ts20'(sK21,sK22) | ~'rel$ustr'(sK21) | 'Ts1'(sK21,sK22), inference(resolution, [status(thm)], [c24,c0])).
% 8.84/2.81 cnf(d5, plain, 'Ts1'(sK21,sK22) | 'Ts20'(sK21,sK22), inference(resolution, [status(thm)], [c22,d4])).
% 8.84/2.81 cnf(d6, plain, ~'Ts1'(X0,X1) | ~element(sK26(X0,X2,sK8(X0,X1)),'the$ucarrier'(X0)) | ~'relstr$uset$usmaller'(X0,X1,sK26(X0,X2,sK8(X0,X1))) | ~element(sK8(X0,X1),'the$ucarrier'(X0)) | ~'relstr$uset$usmaller'(X0,X2,sK8(X0,X1)) | 'Ts20'(X0,X2), inference(resolution, [status(thm)], [c11,c32])).
% 8.84/2.81 cnf(d7, plain, ~'Ts1'(X0,X1) | ~element(sK8(X0,X1),'the$ucarrier'(X0)) | ~element(sK26(X0,X1,sK8(X0,X1)),'the$ucarrier'(X0)) | ~'relstr$uset$usmaller'(X0,X1,sK8(X0,X1)) | 'Ts20'(X0,X1) | ~element(sK8(X0,X1),'the$ucarrier'(X0)) | ~'relstr$uset$usmaller'(X0,X1,sK8(X0,X1)) | 'Ts20'(X0,X1), inference(resolution, [status(thm)], [d6,c31])).
% 8.84/2.81 cnf(d8, plain, ~'Ts1'(X0,X1) | ~element(sK8(X0,X1),'the$ucarrier'(X0)) | ~'relstr$uset$usmaller'(X0,X1,sK8(X0,X1)) | 'Ts20'(X0,X1) | ~element(sK8(X0,X1),'the$ucarrier'(X0)) | ~'relstr$uset$usmaller'(X0,X1,sK8(X0,X1)) | 'Ts20'(X0,X1), inference(resolution, [status(thm)], [d7,c30])).
% 8.84/2.81 cnf(d9, plain, ~'Ts1'(X0,X1) | ~element(sK8(X0,X1),'the$ucarrier'(X0)) | 'Ts20'(X0,X1) | ~'Ts1'(X0,X1), inference(resolution, [status(thm)], [d8,c10])).
% 8.84/2.81 cnf(d10, plain, ~'Ts1'(X0,X1) | 'Ts20'(X0,X1) | ~'Ts1'(X0,X1), inference(resolution, [status(thm)], [d9,c9])).
% 8.84/2.81 cnf(d11, plain, 'Ts20'(sK21,sK22) | 'Ts20'(sK21,sK22), inference(resolution, [status(thm)], [d10,d5])).
% 8.84/2.81 cnf(d12, plain, X0 = sK23(X1,X2) | ~'rel$ustr'(X1) | ~element(X0,'the$ucarrier'(X1)) | ~element(sK23(X1,X2),'the$ucarrier'(X1)) | ~related(X1,X0,sK23(X1,X2)) | ~'antisymmetric$urelstr'(X1) | ~element(X0,'the$ucarrier'(X1)) | ~'relstr$uset$usmaller'(X1,X2,X0) | ~'Ts20'(X1,X2), inference(resolution, [status(thm)], [c20,c29])).
% 8.84/2.81 cnf(d13, plain, sK6(X0,X1,X2) = sK23(X0,X3) | ~'rel$ustr'(X0) | ~element(sK6(X0,X1,X2),'the$ucarrier'(X0)) | ~element(sK23(X0,X3),'the$ucarrier'(X0)) | ~'relstr$uset$usmaller'(X0,X3,sK6(X0,X1,X2)) | ~'antisymmetric$urelstr'(X0) | ~'Ts20'(X0,X3) | ~element(sK23(X0,X3),'the$ucarrier'(X0)) | 'Ts0'(X0,X1,X2) | ~'relstr$uset$usmaller'(X0,X1,sK23(X0,X3)), inference(resolution, [status(thm)], [d12,c7])).
% 8.84/2.81 cnf(d14, plain, sK6(X0,X1,X2) = sK23(X0,X1) | ~'rel$ustr'(X0) | ~element(sK6(X0,X1,X2),'the$ucarrier'(X0)) | ~element(sK23(X0,X1),'the$ucarrier'(X0)) | 'Ts0'(X0,X1,X2) | ~'relstr$uset$usmaller'(X0,X1,sK23(X0,X1)) | ~'antisymmetric$urelstr'(X0) | ~'Ts20'(X0,X1) | 'Ts0'(X0,X1,X2), inference(resolution, [status(thm)], [d13,c6])).
% 8.84/2.81 cnf(d15, plain, sK6(X0,X1,X2) = sK23(X0,X1) | ~'rel$ustr'(X0) | ~element(sK23(X0,X1),'the$ucarrier'(X0)) | 'Ts0'(X0,X1,X2) | ~'relstr$uset$usmaller'(X0,X1,sK23(X0,X1)) | ~'antisymmetric$urelstr'(X0) | ~'Ts20'(X0,X1) | 'Ts0'(X0,X1,X2), inference(resolution, [status(thm)], [d14,c5])).
% 8.84/2.81 cnf(d16, plain, sK6(X0,X1,X2) = sK23(X0,X1) | ~'rel$ustr'(X0) | ~element(sK23(X0,X1),'the$ucarrier'(X0)) | 'Ts0'(X0,X1,X2) | ~'antisymmetric$urelstr'(X0) | ~'Ts20'(X0,X1) | ~'Ts20'(X0,X1), inference(resolution, [status(thm)], [d15,c28])).
% 8.84/2.81 cnf(d17, plain, sK6(X0,X1,X2) = sK23(X0,X1) | ~'rel$ustr'(X0) | 'Ts0'(X0,X1,X2) | ~'antisymmetric$urelstr'(X0) | ~'Ts20'(X0,X1) | ~'Ts20'(X0,X1), inference(resolution, [status(thm)], [d16,c27])).
% 8.84/2.81 cnf(d18, plain, sK6(X0,X1,sK23(X0,X1)) = sK23(X0,X1) | ~'rel$ustr'(X0) | ~'antisymmetric$urelstr'(X0) | ~'Ts20'(X0,X1) | 'Ts1'(X0,X1) | ~element(sK23(X0,X1),'the$ucarrier'(X0)) | ~'Ts20'(X0,X1), inference(resolution, [status(thm)], [d17,d3])).
% 8.84/2.81 cnf(d19, plain, sK6(X0,X1,sK23(X0,X1)) = sK23(X0,X1) | ~'rel$ustr'(X0) | 'Ts1'(X0,X1) | ~'antisymmetric$urelstr'(X0) | ~'Ts20'(X0,X1) | ~'Ts20'(X0,X1), inference(resolution, [status(thm)], [d18,c27])).
% 8.84/2.81 cnf(d20, plain, sK6(sK21,sK22,sK23(sK21,sK22)) = sK23(sK21,sK22) | ~'rel$ustr'(sK21) | 'Ts1'(sK21,sK22) | ~'antisymmetric$urelstr'(sK21), inference(resolution, [status(thm)], [d19,d11])).
% 8.84/2.81 cnf(d21, plain, sK6(sK21,sK22,sK23(sK21,sK22)) = sK23(sK21,sK22) | ~'rel$ustr'(sK21) | 'Ts1'(sK21,sK22), inference(resolution, [status(thm)], [c21,d20])).
% 8.84/2.81 cnf(d22, plain, sK6(sK21,sK22,sK23(sK21,sK22)) = sK23(sK21,sK22) | 'Ts1'(sK21,sK22), inference(resolution, [status(thm)], [c22,d21])).
% 8.84/2.81 cnf(d23, plain, sK6(sK21,sK22,sK23(sK21,sK22)) = sK23(sK21,sK22) | 'ex$usup$uof$urelstr$uset'(sK21,sK22) | ~'rel$ustr'(sK21), inference(resolution, [status(thm)], [d22,c1])).
% 8.84/2.81 cnf(d24, plain, sK6(sK21,sK22,sK23(sK21,sK22)) = sK23(sK21,sK22) | 'ex$usup$uof$urelstr$uset'(sK21,sK22), inference(resolution, [status(thm)], [c22,d23])).
% 8.84/2.81 cnf(d25, plain, ~'ex$usup$uof$urelstr$uset'(sK21,sK22), inference(resolution, [status(thm)], [d11,c25])).
% 8.84/2.81 cnf(d26, plain, sK6(sK21,sK22,sK23(sK21,sK22)) = sK23(sK21,sK22), inference(resolution, [status(thm)], [d25,d24])).
% 8.84/2.81 cnf(d27, plain, sK23(sK21,sK22) != sK23(sK21,sK22) | 'Ts0'(sK21,sK22,sK23(sK21,sK22)), inference(superposition, [status(thm)], [d26,c8])).
% 8.84/2.81 cnf(d28, plain, 'Ts0'(sK21,sK22,sK23(sK21,sK22)), inference(equality_resolution, [status(thm)], [d27])).
% 8.84/2.81 cnf(d29, plain, 'Ts1'(sK21,sK22) | ~element(sK23(sK21,sK22),'the$ucarrier'(sK21)) | ~'Ts20'(sK21,sK22), inference(resolution, [status(thm)], [d28,d3])).
% 8.84/2.81 cnf(d30, plain, 'Ts1'(sK21,sK22) | ~element(sK23(sK21,sK22),'the$ucarrier'(sK21)), inference(resolution, [status(thm)], [d11,d29])).
% 8.84/2.81 cnf(d31, plain, 'Ts1'(sK21,sK22) | ~'Ts20'(sK21,sK22), inference(resolution, [status(thm)], [d30,c27])).
% 8.84/2.81 cnf(d32, plain, 'Ts1'(sK21,sK22), inference(resolution, [status(thm)], [d11,d31])).
% 8.84/2.81 cnf(d33, plain, 'ex$usup$uof$urelstr$uset'(sK21,sK22) | ~'rel$ustr'(sK21), inference(resolution, [status(thm)], [d32,c1])).
% 8.84/2.81 cnf(d34, plain, 'ex$usup$uof$urelstr$uset'(sK21,sK22), inference(resolution, [status(thm)], [c22,d33])).
% 8.84/2.81 cnf(d35, plain, $false, inference(resolution, [status(thm)], [d25,d34])).
% 8.84/2.81 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------