%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU360+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 : 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 08:41:46 AM UTC 2026
% Result : Theorem 20.16s 3.50s
% Output : CNFRefutation 20.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU360+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.64 % Computer : n006.cluster.edu
% 0.17/0.64 % Model : x86_64 x86_64
% 0.17/0.64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.64 % Memory : 8046.5625MB
% 0.17/0.64 % OS : Linux 6.8.0-71-generic
% 0.17/0.64 % CPULimit : 300
% 0.17/0.64 % WCLimit : 300
% 0.17/0.64 % DateTime : Sat Sep 26 09:18:41 UTC 2026
% 0.17/0.64 % CPUTime :
% 0.17/0.65 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.16/3.50 % SZS status Theorem for theBenchmark.p
% 20.16/3.50 % SZS output start CNFRefutation for theBenchmark.p
% 20.16/3.50 fof(d4_yellow_0, axiom, ! [X0] : (('rel$ustr'(X0) => ('lower$ubounded$urelstr'(X0) <=> ? [X1] : ((element(X1,'the$ucarrier'(X0)) & 'relstr$uelement$usmaller'(X0,'the$ucarrier'(X0),X1))))))).
% 20.16/3.50 fof(d8_lattice3, axiom, ! [X0] : (('rel$ustr'(X0) => ! [X1] : ! [X2] : ((element(X2,'the$ucarrier'(X0)) => ('relstr$uelement$usmaller'(X0,X1,X2) <=> ! [X3] : ((element(X3,'the$ucarrier'(X0)) => (in(X3,X1) => related(X0,X2,X3)))))))))).
% 20.16/3.50 fof(dt_l1_orders_2, axiom, ! [X0] : (('rel$ustr'(X0) => 'one$usorted$ustr'(X0)))).
% 20.16/3.50 fof(fc1_struct_0, axiom, ! [X0] : (((~'empty$ucarrier'(X0) & 'one$usorted$ustr'(X0)) => ~empty('the$ucarrier'(X0))))).
% 20.16/3.50 fof(t15_yellow_0, axiom, ! [X0] : ((('antisymmetric$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$usmaller'(X0,X1,X3) => related(X0,X2,X3)))))))))))).
% 20.16/3.50 fof(t16_yellow_0, axiom, ! [X0] : ((('antisymmetric$urelstr'(X0) & 'rel$ustr'(X0)) => ! [X1] : (('ex$uinf$uof$urelstr$uset'(X0,X1) <=> ? [X2] : ((element(X2,'the$ucarrier'(X0)) & ('relstr$uelement$usmaller'(X0,X1,X2) & ! [X3] : ((element(X3,'the$ucarrier'(X0)) => ('relstr$uelement$usmaller'(X0,X1,X3) => related(X0,X3,X2)))))))))))).
% 20.16/3.50 fof(t2_subset, axiom, ! [X0] : ! [X1] : ((element(X0,X1) => (empty(X1) | in(X0,X1))))).
% 20.16/3.50 fof(t6_yellow_0, axiom, ! [X0] : (('rel$ustr'(X0) => ! [X1] : ((element(X1,'the$ucarrier'(X0)) => ('relstr$uset$usmaller'(X0,'empty$uset',X1) & 'relstr$uelement$usmaller'(X0,'empty$uset',X1))))))).
% 20.16/3.50 fof(t42_yellow_0, conjecture, ! [X0] : (((~'empty$ucarrier'(X0) & ('antisymmetric$urelstr'(X0) & ('lower$ubounded$urelstr'(X0) & 'rel$ustr'(X0)))) => ('ex$usup$uof$urelstr$uset'(X0,'empty$uset') & 'ex$uinf$uof$urelstr$uset'(X0,'the$ucarrier'(X0)))))).
% 20.16/3.50 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((~'empty$ucarrier'(X0) & ('antisymmetric$urelstr'(X0) & ('lower$ubounded$urelstr'(X0) & 'rel$ustr'(X0)))) => ('ex$usup$uof$urelstr$uset'(X0,'empty$uset') & 'ex$uinf$uof$urelstr$uset'(X0,'the$ucarrier'(X0))))), inference(negate_conjecture, [status(cth)], [t42_yellow_0])).
% 20.16/3.50 cnf(c2, plain, ~'rel$ustr'(X0) | ~'lower$ubounded$urelstr'(X0) | element(sK4(X0),'the$ucarrier'(X0)), inference(clausification, [status(esa)], [d4_yellow_0])).
% 20.16/3.50 cnf(c3, plain, ~'rel$ustr'(X0) | ~'lower$ubounded$urelstr'(X0) | 'relstr$uelement$usmaller'(X0,'the$ucarrier'(X0),sK4(X0)), inference(clausification, [status(esa)], [d4_yellow_0])).
% 20.16/3.50 cnf(c5, plain, ~in(X0,X1) | related(X2,X3,X0) | ~'relstr$uelement$usmaller'(X2,X1,X3) | ~element(X3,'the$ucarrier'(X2)) | ~element(X0,'the$ucarrier'(X2)) | ~'rel$ustr'(X2), inference(clausification, [status(esa)], [d8_lattice3])).
% 20.16/3.50 cnf(c9, plain, ~'rel$ustr'(X0) | 'one$usorted$ustr'(X0), inference(clausification, [status(esa)], [dt_l1_orders_2])).
% 20.16/3.50 cnf(c13, plain, 'empty$ucarrier'(X0) | ~'one$usorted$ustr'(X0) | ~empty('the$ucarrier'(X0)), inference(clausification, [status(esa)], [fc1_struct_0])).
% 20.16/3.50 cnf(c22, plain, ~'antisymmetric$urelstr'(X0) | ~'rel$ustr'(X0) | 'ex$usup$uof$urelstr$uset'(X0,X1) | ~X2(X0,X1), inference(clausification, [status(esa)], [t15_yellow_0])).
% 20.16/3.50 cnf(c26, plain, X0(X1,X2) | ~element(X3,'the$ucarrier'(X1)) | ~'relstr$uset$usmaller'(X1,X2,X3) | element(sK27(X1,X2,X3),'the$ucarrier'(X1)), inference(clausification, [status(esa)], [t15_yellow_0])).
% 20.16/3.50 cnf(c28, plain, X0(X1,X2) | ~element(X3,'the$ucarrier'(X1)) | ~'relstr$uset$usmaller'(X1,X2,X3) | ~related(X1,X3,sK27(X1,X2,X3)), inference(clausification, [status(esa)], [t15_yellow_0])).
% 20.16/3.50 cnf(c30, plain, ~'antisymmetric$urelstr'(X0) | ~'rel$ustr'(X0) | 'ex$uinf$uof$urelstr$uset'(X0,X1) | ~X2(X0,X1), inference(clausification, [status(esa)], [t16_yellow_0])).
% 20.16/3.50 cnf(c34, plain, X0(X1,X2) | ~element(X3,'the$ucarrier'(X1)) | ~'relstr$uelement$usmaller'(X1,X2,X3) | element(sK34(X1,X2,X3),'the$ucarrier'(X1)), inference(clausification, [status(esa)], [t16_yellow_0])).
% 20.16/3.50 cnf(c35, plain, X0(X1,X2) | ~element(X3,'the$ucarrier'(X1)) | ~'relstr$uelement$usmaller'(X1,X2,X3) | 'relstr$uelement$usmaller'(X1,X2,sK34(X1,X2,X3)), inference(clausification, [status(esa)], [t16_yellow_0])).
% 20.16/3.50 cnf(c36, plain, X0(X1,X2) | ~element(X3,'the$ucarrier'(X1)) | ~'relstr$uelement$usmaller'(X1,X2,X3) | ~related(X1,sK34(X1,X2,X3),X3), inference(clausification, [status(esa)], [t16_yellow_0])).
% 20.16/3.50 cnf(c38, plain, ~element(X0,X1) | empty(X1) | in(X0,X1), inference(clausification, [status(esa)], [t2_subset])).
% 20.16/3.50 cnf(c40, plain, ~'rel$ustr'(X0) | ~element(X1,'the$ucarrier'(X0)) | 'relstr$uset$usmaller'(X0,'empty$uset',X1), inference(clausification, [status(esa)], [t6_yellow_0])).
% 20.16/3.50 cnf(c44, plain, ~'empty$ucarrier'(sK46), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.16/3.50 cnf(c45, plain, 'antisymmetric$urelstr'(sK46), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.16/3.50 cnf(c46, plain, 'lower$ubounded$urelstr'(sK46), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.16/3.50 cnf(c47, plain, 'rel$ustr'(sK46), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.16/3.50 cnf(c48, plain, ~'ex$usup$uof$urelstr$uset'(sK46,'empty$uset') | ~'ex$uinf$uof$urelstr$uset'(sK46,'the$ucarrier'(sK46)), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.16/3.50 cnf(d0, plain, in(sK4(X0),'the$ucarrier'(X0)) | empty('the$ucarrier'(X0)) | ~'lower$ubounded$urelstr'(X0) | ~'rel$ustr'(X0), inference(resolution, [status(thm)], [c38,c2])).
% 20.16/3.50 cnf(d1, plain, ~element(X0,'the$ucarrier'(X1)) | ~'relstr$uelement$usmaller'(X1,X2,X0) | 'Ts28'(X1,X2) | ~in(X3,X2) | ~'rel$ustr'(X1) | ~element(X3,'the$ucarrier'(X1)) | ~element(sK34(X1,X2,X0),'the$ucarrier'(X1)) | related(X1,sK34(X1,X2,X0),X3), inference(resolution, [status(thm)], [c35,c5])).
% 20.16/3.50 cnf(d2, plain, ~in(X0,X1) | ~'rel$ustr'(X2) | ~element(X0,'the$ucarrier'(X2)) | ~element(X3,'the$ucarrier'(X2)) | ~'relstr$uelement$usmaller'(X2,X1,X3) | related(X2,sK34(X2,X1,X3),X0) | 'Ts28'(X2,X1) | ~element(X3,'the$ucarrier'(X2)) | ~'relstr$uelement$usmaller'(X2,X1,X3) | 'Ts28'(X2,X1), inference(resolution, [status(thm)], [d1,c34])).
% 20.16/3.50 cnf(d3, plain, ~in(X0,X1) | ~'rel$ustr'(X2) | ~element(X0,'the$ucarrier'(X2)) | ~element(X0,'the$ucarrier'(X2)) | ~'relstr$uelement$usmaller'(X2,X1,X0) | 'Ts28'(X2,X1) | ~element(X0,'the$ucarrier'(X2)) | ~'relstr$uelement$usmaller'(X2,X1,X0) | 'Ts28'(X2,X1), inference(resolution, [status(thm)], [d2,c36])).
% 20.16/3.50 cnf(d4, plain, ~in(sK4(X0),'the$ucarrier'(X0)) | ~'rel$ustr'(X0) | ~element(sK4(X0),'the$ucarrier'(X0)) | 'Ts28'(X0,'the$ucarrier'(X0)) | ~'lower$ubounded$urelstr'(X0) | ~'rel$ustr'(X0), inference(resolution, [status(thm)], [d3,c3])).
% 20.16/3.50 cnf(d5, plain, ~in(sK4(X0),'the$ucarrier'(X0)) | ~'lower$ubounded$urelstr'(X0) | ~'rel$ustr'(X0) | 'Ts28'(X0,'the$ucarrier'(X0)) | ~'lower$ubounded$urelstr'(X0) | ~'rel$ustr'(X0), inference(resolution, [status(thm)], [d4,c2])).
% 20.16/3.50 cnf(d6, plain, ~'lower$ubounded$urelstr'(X0) | ~'rel$ustr'(X0) | 'Ts28'(X0,'the$ucarrier'(X0)) | empty('the$ucarrier'(X0)) | ~'lower$ubounded$urelstr'(X0) | ~'rel$ustr'(X0), inference(resolution, [status(thm)], [d5,d0])).
% 20.16/3.50 cnf(d7, plain, empty('the$ucarrier'(X0)) | ~'lower$ubounded$urelstr'(X0) | ~'rel$ustr'(X0) | ~'rel$ustr'(X0) | ~'antisymmetric$urelstr'(X0) | 'ex$uinf$uof$urelstr$uset'(X0,'the$ucarrier'(X0)), inference(resolution, [status(thm)], [d6,c30])).
% 20.16/3.50 cnf(d8, plain, empty('the$ucarrier'(sK46)) | ~'lower$ubounded$urelstr'(sK46) | ~'rel$ustr'(sK46) | ~'antisymmetric$urelstr'(sK46) | ~'ex$usup$uof$urelstr$uset'(sK46,'empty$uset'), inference(resolution, [status(thm)], [d7,c48])).
% 20.16/3.50 cnf(d9, plain, empty('the$ucarrier'(sK46)) | ~'lower$ubounded$urelstr'(sK46) | ~'rel$ustr'(sK46) | ~'ex$usup$uof$urelstr$uset'(sK46,'empty$uset'), inference(resolution, [status(thm)], [c45,d8])).
% 20.16/3.50 cnf(d10, plain, empty('the$ucarrier'(sK46)) | ~'rel$ustr'(sK46) | ~'ex$usup$uof$urelstr$uset'(sK46,'empty$uset'), inference(resolution, [status(thm)], [c46,d9])).
% 20.16/3.50 cnf(d11, plain, empty('the$ucarrier'(sK46)) | ~'ex$usup$uof$urelstr$uset'(sK46,'empty$uset'), inference(resolution, [status(thm)], [c47,d10])).
% 20.16/3.50 cnf(d12, plain, ~'rel$ustr'(X0) | 'relstr$uset$usmaller'(X0,'empty$uset',sK4(X0)) | ~'lower$ubounded$urelstr'(X0) | ~'rel$ustr'(X0), inference(resolution, [status(thm)], [c40,c2])).
% 20.16/3.50 cnf(d13, plain, in(sK27(X0,X1,X2),'the$ucarrier'(X0)) | empty('the$ucarrier'(X0)) | ~element(X2,'the$ucarrier'(X0)) | 'Ts21'(X0,X1) | ~'relstr$uset$usmaller'(X0,X1,X2), inference(resolution, [status(thm)], [c38,c26])).
% 20.16/3.50 cnf(d14, plain, ~in(X0,'the$ucarrier'(X1)) | ~'rel$ustr'(X1) | ~element(X0,'the$ucarrier'(X1)) | ~element(sK4(X1),'the$ucarrier'(X1)) | related(X1,sK4(X1),X0) | ~'lower$ubounded$urelstr'(X1) | ~'rel$ustr'(X1), inference(resolution, [status(thm)], [c5,c3])).
% 20.16/3.50 cnf(d15, plain, ~in(X0,'the$ucarrier'(X1)) | ~'lower$ubounded$urelstr'(X1) | ~'rel$ustr'(X1) | ~element(X0,'the$ucarrier'(X1)) | related(X1,sK4(X1),X0) | ~'lower$ubounded$urelstr'(X1) | ~'rel$ustr'(X1), inference(resolution, [status(thm)], [d14,c2])).
% 20.16/3.50 cnf(d16, plain, ~in(sK27(X0,X1,sK4(X0)),'the$ucarrier'(X0)) | ~'lower$ubounded$urelstr'(X0) | ~'rel$ustr'(X0) | ~element(sK27(X0,X1,sK4(X0)),'the$ucarrier'(X0)) | ~element(sK4(X0),'the$ucarrier'(X0)) | 'Ts21'(X0,X1) | ~'relstr$uset$usmaller'(X0,X1,sK4(X0)), inference(resolution, [status(thm)], [d15,c28])).
% 20.16/3.50 cnf(d17, plain, ~in(sK27(X0,X1,sK4(X0)),'the$ucarrier'(X0)) | ~'lower$ubounded$urelstr'(X0) | ~'rel$ustr'(X0) | ~element(sK4(X0),'the$ucarrier'(X0)) | 'Ts21'(X0,X1) | ~'relstr$uset$usmaller'(X0,X1,sK4(X0)) | ~element(sK4(X0),'the$ucarrier'(X0)) | 'Ts21'(X0,X1) | ~'relstr$uset$usmaller'(X0,X1,sK4(X0)), inference(resolution, [status(thm)], [d16,c26])).
% 20.16/3.50 cnf(d18, plain, ~'lower$ubounded$urelstr'(X0) | ~'rel$ustr'(X0) | ~element(sK4(X0),'the$ucarrier'(X0)) | 'Ts21'(X0,X1) | ~'relstr$uset$usmaller'(X0,X1,sK4(X0)) | empty('the$ucarrier'(X0)) | ~element(sK4(X0),'the$ucarrier'(X0)) | 'Ts21'(X0,X1) | ~'relstr$uset$usmaller'(X0,X1,sK4(X0)), inference(resolution, [status(thm)], [d17,d13])).
% 20.16/3.50 cnf(d19, plain, empty('the$ucarrier'(X0)) | ~'lower$ubounded$urelstr'(X0) | ~'rel$ustr'(X0) | ~element(sK4(X0),'the$ucarrier'(X0)) | 'Ts21'(X0,'empty$uset') | ~'lower$ubounded$urelstr'(X0) | ~'rel$ustr'(X0), inference(resolution, [status(thm)], [d18,d12])).
% 20.16/3.50 cnf(d20, plain, empty('the$ucarrier'(X0)) | ~'lower$ubounded$urelstr'(X0) | ~'rel$ustr'(X0) | 'Ts21'(X0,'empty$uset') | ~'lower$ubounded$urelstr'(X0) | ~'rel$ustr'(X0), inference(resolution, [status(thm)], [d19,c2])).
% 20.16/3.50 cnf(d21, plain, empty('the$ucarrier'(X0)) | ~'lower$ubounded$urelstr'(X0) | ~'rel$ustr'(X0) | ~'rel$ustr'(X0) | ~'antisymmetric$urelstr'(X0) | 'ex$usup$uof$urelstr$uset'(X0,'empty$uset'), inference(resolution, [status(thm)], [d20,c22])).
% 20.16/3.50 cnf(d22, plain, empty('the$ucarrier'(sK46)) | ~'lower$ubounded$urelstr'(sK46) | ~'rel$ustr'(sK46) | ~'antisymmetric$urelstr'(sK46) | empty('the$ucarrier'(sK46)), inference(resolution, [status(thm)], [d21,d11])).
% 20.16/3.50 cnf(d23, plain, empty('the$ucarrier'(sK46)) | ~'lower$ubounded$urelstr'(sK46) | ~'rel$ustr'(sK46), inference(resolution, [status(thm)], [c45,d22])).
% 20.16/3.50 cnf(d24, plain, empty('the$ucarrier'(sK46)) | ~'rel$ustr'(sK46), inference(resolution, [status(thm)], [c46,d23])).
% 20.16/3.50 cnf(d25, plain, empty('the$ucarrier'(sK46)), inference(resolution, [status(thm)], [c47,d24])).
% 20.16/3.50 cnf(d26, plain, ~'one$usorted$ustr'(sK46) | 'empty$ucarrier'(sK46), inference(resolution, [status(thm)], [d25,c13])).
% 20.16/3.50 cnf(d27, plain, ~'one$usorted$ustr'(sK46), inference(resolution, [status(thm)], [c44,d26])).
% 20.16/3.50 cnf(d28, plain, 'one$usorted$ustr'(sK46), inference(resolution, [status(thm)], [c9,c47])).
% 20.16/3.50 cnf(d29, plain, $false, inference(resolution, [status(thm)], [d28,d27])).
% 20.16/3.50 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------