%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU241+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 : n014.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 08:41:25 AM UTC 2026
% Result : Theorem 15.46s 3.82s
% Output : CNFRefutation 15.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU241+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
% 0.15/0.39 % Computer : n014.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8046.5625MB
% 0.15/0.39 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sat Sep 26 08:57:33 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.46/3.82 % SZS status Theorem for theBenchmark.p
% 15.46/3.82 % SZS output start CNFRefutation for theBenchmark.p
% 15.46/3.82 fof(d12_relat_2, axiom, ! [X0] : ((relation(X0) => (antisymmetric(X0) <=> 'is$uantisymmetric$uin'(X0,'relation$ufield'(X0)))))).
% 15.46/3.82 fof(d4_relat_2, axiom, ! [X0] : ((relation(X0) => ! [X1] : (('is$uantisymmetric$uin'(X0,X1) <=> ! [X2] : ! [X3] : (((in(X2,X1) & (in(X3,X1) & (in('ordered$upair'(X2,X3),X0) & in('ordered$upair'(X3,X2),X0)))) => X2 = X3))))))).
% 15.46/3.82 fof(t30_relat_1, axiom, ! [X0] : ! [X1] : ! [X2] : ((relation(X2) => (in('ordered$upair'(X0,X1),X2) => (in(X0,'relation$ufield'(X2)) & in(X1,'relation$ufield'(X2))))))).
% 15.46/3.82 fof(l3_wellord1, conjecture, ! [X0] : ((relation(X0) => (antisymmetric(X0) <=> ! [X1] : ! [X2] : (((in('ordered$upair'(X1,X2),X0) & in('ordered$upair'(X2,X1),X0)) => X1 = X2)))))).
% 15.46/3.82 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((relation(X0) => (antisymmetric(X0) <=> ! [X1] : ! [X2] : (((in('ordered$upair'(X1,X2),X0) & in('ordered$upair'(X2,X1),X0)) => X1 = X2))))), inference(negate_conjecture, [status(cth)], [l3_wellord1])).
% 15.46/3.82 cnf(c7, plain, ~relation(X0) | ~antisymmetric(X0) | 'is$uantisymmetric$uin'(X0,'relation$ufield'(X0)), inference(clausification, [status(esa)], [d12_relat_2])).
% 15.46/3.82 cnf(c8, plain, ~relation(X0) | antisymmetric(X0) | ~'is$uantisymmetric$uin'(X0,'relation$ufield'(X0)), inference(clausification, [status(esa)], [d12_relat_2])).
% 15.46/3.82 cnf(c9, plain, ~relation(X0) | ~'is$uantisymmetric$uin'(X0,X1) | X2(X0,X1), inference(clausification, [status(esa)], [d4_relat_2])).
% 15.46/3.82 cnf(c10, plain, ~relation(X0) | 'is$uantisymmetric$uin'(X0,X1) | ~X2(X0,X1), inference(clausification, [status(esa)], [d4_relat_2])).
% 15.46/3.82 cnf(c11, plain, ~in(X0,X1) | ~X2(X3,X1) | ~in('ordered$upair'(X0,X4),X3) | X0 = X4 | ~in('ordered$upair'(X4,X0),X3) | ~in(X4,X1), inference(clausification, [status(esa)], [d4_relat_2])).
% 15.46/3.82 cnf(c14, plain, X0(X1,X2) | in('ordered$upair'(sK14(X1,X2),sK15(X1,X2)),X1), inference(clausification, [status(esa)], [d4_relat_2])).
% 15.46/3.82 cnf(c15, plain, X0(X1,X2) | in('ordered$upair'(sK15(X1,X2),sK14(X1,X2)),X1), inference(clausification, [status(esa)], [d4_relat_2])).
% 15.46/3.82 cnf(c16, plain, X0(X1,X2) | sK14(X1,X2) != sK15(X1,X2), inference(clausification, [status(esa)], [d4_relat_2])).
% 15.46/3.82 cnf(c38, plain, ~relation(X0) | ~in('ordered$upair'(X1,X2),X0) | in(X1,'relation$ufield'(X0)), inference(clausification, [status(esa)], [t30_relat_1])).
% 15.46/3.82 cnf(c43, plain, relation(sK47), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.46/3.82 cnf(c45, plain, antisymmetric(sK47) | ~in('ordered$upair'(X0,X1),sK47) | ~in('ordered$upair'(X1,X0),sK47) | X0 = X1, inference(clausification, [status(esa)], [negated_conjecture])).
% 15.46/3.82 cnf(c46, plain, in('ordered$upair'(sK48,sK49),sK47) | ~antisymmetric(sK47), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.46/3.82 cnf(c48, plain, in('ordered$upair'(sK49,sK48),sK47) | ~antisymmetric(sK47), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.46/3.82 cnf(c50, plain, sK48 != sK49 | ~antisymmetric(sK47), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.46/3.82 cnf(d0, plain, 'Ts9'(sK47,X0) | sK14(sK47,X0) = sK15(sK47,X0) | ~in('ordered$upair'(sK14(sK47,X0),sK15(sK47,X0)),sK47) | antisymmetric(sK47), inference(resolution, [status(thm)], [c15,c45])).
% 15.46/3.82 cnf(d1, plain, sK14(sK47,X0) = sK15(sK47,X0) | antisymmetric(sK47) | 'Ts9'(sK47,X0) | 'Ts9'(sK47,X0), inference(resolution, [status(thm)], [d0,c14])).
% 15.46/3.82 cnf(d2, plain, sK14(sK47,X0) = sK15(sK47,X0) | antisymmetric(sK47) | ~relation(sK47) | 'is$uantisymmetric$uin'(sK47,X0), inference(resolution, [status(thm)], [d1,c10])).
% 15.46/3.82 cnf(d3, plain, sK14(sK47,X0) = sK15(sK47,X0) | antisymmetric(sK47) | 'is$uantisymmetric$uin'(sK47,X0), inference(resolution, [status(thm)], [c43,d2])).
% 15.46/3.82 cnf(d4, plain, sK14(sK47,'relation$ufield'(sK47)) = sK15(sK47,'relation$ufield'(sK47)) | antisymmetric(sK47) | ~relation(sK47) | antisymmetric(sK47), inference(resolution, [status(thm)], [d3,c8])).
% 15.46/3.82 cnf(d5, plain, sK14(sK47,'relation$ufield'(sK47)) = sK15(sK47,'relation$ufield'(sK47)) | antisymmetric(sK47), inference(resolution, [status(thm)], [c43,d4])).
% 15.46/3.82 cnf(d6, plain, in(sK48,'relation$ufield'(sK47)) | ~relation(sK47) | ~antisymmetric(sK47), inference(resolution, [status(thm)], [c38,c46])).
% 15.46/3.82 cnf(d7, plain, in(sK48,'relation$ufield'(sK47)) | ~antisymmetric(sK47), inference(resolution, [status(thm)], [c43,d6])).
% 15.46/3.82 cnf(d8, plain, in(sK49,'relation$ufield'(sK47)) | ~relation(sK47) | ~antisymmetric(sK47), inference(resolution, [status(thm)], [c38,c48])).
% 15.46/3.82 cnf(d9, plain, in(sK49,'relation$ufield'(sK47)) | ~antisymmetric(sK47), inference(resolution, [status(thm)], [c43,d8])).
% 15.46/3.82 cnf(d10, plain, sK48 = sK49 | ~in(sK48,X0) | ~in(sK49,X0) | ~in('ordered$upair'(sK48,sK49),sK47) | ~'Ts9'(sK47,X0) | ~antisymmetric(sK47), inference(resolution, [status(thm)], [c11,c48])).
% 15.46/3.82 cnf(d11, plain, sK48 = sK49 | ~in(sK48,X0) | ~in(sK49,X0) | ~antisymmetric(sK47) | ~'Ts9'(sK47,X0) | ~antisymmetric(sK47), inference(resolution, [status(thm)], [d10,c46])).
% 15.46/3.82 cnf(d12, plain, ~relation(X0) | 'Ts9'(X0,'relation$ufield'(X0)) | ~relation(X0) | ~antisymmetric(X0), inference(resolution, [status(thm)], [c9,c7])).
% 15.46/3.82 cnf(d13, plain, ~relation(sK47) | ~antisymmetric(sK47) | sK48 = sK49 | ~in(sK48,'relation$ufield'(sK47)) | ~in(sK49,'relation$ufield'(sK47)) | ~antisymmetric(sK47), inference(resolution, [status(thm)], [d12,d11])).
% 15.46/3.82 cnf(d14, plain, sK48 = sK49 | ~in(sK48,'relation$ufield'(sK47)) | ~in(sK49,'relation$ufield'(sK47)) | ~antisymmetric(sK47), inference(resolution, [status(thm)], [c43,d13])).
% 15.46/3.82 cnf(d15, plain, sK48 = sK49 | ~in(sK48,'relation$ufield'(sK47)) | ~antisymmetric(sK47) | ~antisymmetric(sK47), inference(resolution, [status(thm)], [d14,d9])).
% 15.46/3.82 cnf(d16, plain, sK48 = sK49 | ~antisymmetric(sK47) | ~antisymmetric(sK47), inference(resolution, [status(thm)], [d15,d7])).
% 15.46/3.82 cnf(d17, plain, 'Ts9'(sK47,X0) | sK15(sK47,X0) = sK14(sK47,X0) | ~in('ordered$upair'(sK15(sK47,X0),sK14(sK47,X0)),sK47) | antisymmetric(sK47), inference(resolution, [status(thm)], [c14,c45])).
% 15.46/3.82 cnf(d18, plain, sK15(sK47,X0) = sK14(sK47,X0) | antisymmetric(sK47) | 'Ts9'(sK47,X0) | 'Ts9'(sK47,X0), inference(resolution, [status(thm)], [d17,c15])).
% 15.46/3.82 cnf(d19, plain, sK15(sK47,X0) = sK14(sK47,X0) | antisymmetric(sK47) | ~relation(sK47) | 'is$uantisymmetric$uin'(sK47,X0), inference(resolution, [status(thm)], [d18,c10])).
% 15.46/3.82 cnf(d20, plain, sK15(sK47,X0) = sK14(sK47,X0) | antisymmetric(sK47) | 'is$uantisymmetric$uin'(sK47,X0), inference(resolution, [status(thm)], [c43,d19])).
% 15.46/3.82 cnf(d21, plain, sK15(sK47,'relation$ufield'(sK47)) = sK14(sK47,'relation$ufield'(sK47)) | antisymmetric(sK47) | ~relation(sK47) | antisymmetric(sK47), inference(resolution, [status(thm)], [d20,c8])).
% 15.46/3.82 cnf(d22, plain, sK15(sK47,'relation$ufield'(sK47)) = sK14(sK47,'relation$ufield'(sK47)) | antisymmetric(sK47), inference(resolution, [status(thm)], [c43,d21])).
% 15.46/3.82 cnf(d23, plain, sK48 = sK49 | sK15(sK47,'relation$ufield'(sK47)) = sK14(sK47,'relation$ufield'(sK47)), inference(resolution, [status(thm)], [d16,d22])).
% 15.46/3.82 cnf(d24, plain, sK14(sK47,'relation$ufield'(sK47)) != sK14(sK47,'relation$ufield'(sK47)) | 'Ts9'(sK47,'relation$ufield'(sK47)) | sK48 = sK49, inference(superposition, [status(thm)], [d23,c16])).
% 15.46/3.82 cnf(d25, plain, sK48 = sK49 | 'Ts9'(sK47,'relation$ufield'(sK47)), inference(equality_resolution, [status(thm)], [d24])).
% 15.46/3.82 cnf(d26, plain, sK48 = sK49 | ~relation(sK47) | 'is$uantisymmetric$uin'(sK47,'relation$ufield'(sK47)), inference(resolution, [status(thm)], [d25,c10])).
% 15.46/3.82 cnf(d27, plain, sK48 = sK49 | 'is$uantisymmetric$uin'(sK47,'relation$ufield'(sK47)), inference(resolution, [status(thm)], [c43,d26])).
% 15.46/3.82 cnf(d28, plain, sK48 = sK49 | ~relation(sK47) | antisymmetric(sK47), inference(resolution, [status(thm)], [d27,c8])).
% 15.46/3.82 cnf(d29, plain, sK48 = sK49 | antisymmetric(sK47), inference(resolution, [status(thm)], [c43,d28])).
% 15.46/3.82 cnf(d30, plain, sK48 = sK49 | sK48 = sK49, inference(resolution, [status(thm)], [d29,d16])).
% 15.46/3.82 cnf(d31, plain, ~antisymmetric(sK47), inference(resolution, [status(thm)], [d30,c50])).
% 15.46/3.82 cnf(d32, plain, sK14(sK47,'relation$ufield'(sK47)) = sK15(sK47,'relation$ufield'(sK47)), inference(resolution, [status(thm)], [d31,d5])).
% 15.46/3.82 cnf(d33, plain, sK14(sK47,'relation$ufield'(sK47)) != sK14(sK47,'relation$ufield'(sK47)) | 'Ts9'(sK47,'relation$ufield'(sK47)), inference(superposition, [status(thm)], [d32,c16])).
% 15.46/3.82 cnf(d34, plain, 'Ts9'(sK47,'relation$ufield'(sK47)), inference(equality_resolution, [status(thm)], [d33])).
% 15.46/3.82 cnf(d35, plain, ~relation(sK47) | 'is$uantisymmetric$uin'(sK47,'relation$ufield'(sK47)), inference(resolution, [status(thm)], [d34,c10])).
% 15.46/3.82 cnf(d36, plain, 'is$uantisymmetric$uin'(sK47,'relation$ufield'(sK47)), inference(resolution, [status(thm)], [c43,d35])).
% 15.46/3.82 cnf(d37, plain, ~relation(sK47) | antisymmetric(sK47), inference(resolution, [status(thm)], [d36,c8])).
% 15.46/3.82 cnf(d38, plain, antisymmetric(sK47), inference(resolution, [status(thm)], [c43,d37])).
% 15.46/3.82 cnf(d39, plain, $false, inference(resolution, [status(thm)], [d31,d38])).
% 15.46/3.82 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------