%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU242+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 : n003.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 19.77s 2.99s
% Output : CNFRefutation 19.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU242+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 08:59:24 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.77/2.99 % SZS status Theorem for theBenchmark.p
% 19.77/2.99 % SZS output start CNFRefutation for theBenchmark.p
% 19.77/2.99 fof(d14_relat_2, axiom, ! [X0] : ((relation(X0) => (connected(X0) <=> 'is$uconnected$uin'(X0,'relation$ufield'(X0)))))).
% 19.77/2.99 fof(d6_relat_2, axiom, ! [X0] : ((relation(X0) => ! [X1] : (('is$uconnected$uin'(X0,X1) <=> ! [X2] : ! [X3] : ~((in(X2,X1) & (in(X3,X1) & (X2 != X3 & (~in('ordered$upair'(X2,X3),X0) & ~in('ordered$upair'(X3,X2),X0))))))))))).
% 19.77/2.99 fof(l4_wellord1, conjecture, ! [X0] : ((relation(X0) => (connected(X0) <=> ! [X1] : ! [X2] : ~((in(X1,'relation$ufield'(X0)) & (in(X2,'relation$ufield'(X0)) & (X1 != X2 & (~in('ordered$upair'(X1,X2),X0) & ~in('ordered$upair'(X2,X1),X0)))))))))).
% 19.77/2.99 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((relation(X0) => (connected(X0) <=> ! [X1] : ! [X2] : ~((in(X1,'relation$ufield'(X0)) & (in(X2,'relation$ufield'(X0)) & (X1 != X2 & (~in('ordered$upair'(X1,X2),X0) & ~in('ordered$upair'(X2,X1),X0))))))))), inference(negate_conjecture, [status(cth)], [l4_wellord1])).
% 19.77/2.99 cnf(c7, plain, ~relation(X0) | ~connected(X0) | 'is$uconnected$uin'(X0,'relation$ufield'(X0)), inference(clausification, [status(esa)], [d14_relat_2])).
% 19.77/2.99 cnf(c8, plain, ~relation(X0) | connected(X0) | ~'is$uconnected$uin'(X0,'relation$ufield'(X0)), inference(clausification, [status(esa)], [d14_relat_2])).
% 19.77/2.99 cnf(c11, plain, ~relation(X0) | ~'is$uconnected$uin'(X0,X1) | X2(X0,X1), inference(clausification, [status(esa)], [d6_relat_2])).
% 19.77/2.99 cnf(c12, plain, ~relation(X0) | 'is$uconnected$uin'(X0,X1) | ~X2(X0,X1), inference(clausification, [status(esa)], [d6_relat_2])).
% 19.77/2.99 cnf(c13, plain, in('ordered$upair'(X0,X1),X2) | X1 = X0 | ~in(X1,X3) | ~X4(X2,X3) | in('ordered$upair'(X1,X0),X2) | ~in(X0,X3), inference(clausification, [status(esa)], [d6_relat_2])).
% 19.77/2.99 cnf(c14, plain, X0(X1,X2) | in(sK17(X1,X2),X2), inference(clausification, [status(esa)], [d6_relat_2])).
% 19.77/2.99 cnf(c15, plain, X0(X1,X2) | in(sK18(X1,X2),X2), inference(clausification, [status(esa)], [d6_relat_2])).
% 19.77/2.99 cnf(c16, plain, X0(X1,X2) | sK17(X1,X2) != sK18(X1,X2), inference(clausification, [status(esa)], [d6_relat_2])).
% 19.77/2.99 cnf(c17, plain, X0(X1,X2) | ~in('ordered$upair'(sK17(X1,X2),sK18(X1,X2)),X1), inference(clausification, [status(esa)], [d6_relat_2])).
% 19.77/2.99 cnf(c18, plain, X0(X1,X2) | ~in('ordered$upair'(sK18(X1,X2),sK17(X1,X2)),X1), inference(clausification, [status(esa)], [d6_relat_2])).
% 19.77/2.99 cnf(c41, plain, relation(sK45), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.77/2.99 cnf(c43, plain, connected(sK45) | X0(sK45), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.77/2.99 cnf(c44, plain, ~X0(sK45) | ~connected(sK45), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.77/2.99 cnf(c46, plain, ~in(X0,'relation$ufield'(X1)) | in('ordered$upair'(X0,X2),X1) | ~X3(X1) | ~in(X2,'relation$ufield'(X1)) | in('ordered$upair'(X2,X0),X1) | X0 = X2, inference(clausification, [status(esa)], [negated_conjecture])).
% 19.77/2.99 cnf(c47, plain, X0(X1) | in(sK48(X1),'relation$ufield'(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.77/2.99 cnf(c48, plain, X0(X1) | in(sK49(X1),'relation$ufield'(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.77/2.99 cnf(c49, plain, X0(X1) | sK48(X1) != sK49(X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.77/2.99 cnf(c50, plain, X0(X1) | ~in('ordered$upair'(sK48(X1),sK49(X1)),X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.77/2.99 cnf(c51, plain, X0(X1) | ~in('ordered$upair'(sK49(X1),sK48(X1)),X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 19.77/2.99 cnf(d0, plain, sK18(X0,X1) = sK17(X0,X1) | ~in(sK17(X0,X1),'relation$ufield'(X0)) | ~in(sK18(X0,X1),'relation$ufield'(X0)) | in('ordered$upair'(sK18(X0,X1),sK17(X0,X1)),X0) | ~'Ts44'(X0) | 'Ts12'(X0,X1), inference(resolution, [status(thm)], [c46,c17])).
% 19.77/2.99 cnf(d1, plain, sK18(X0,X1) = sK17(X0,X1) | ~in(sK17(X0,X1),'relation$ufield'(X0)) | ~in(sK18(X0,X1),'relation$ufield'(X0)) | 'Ts12'(X0,X1) | ~'Ts44'(X0) | 'Ts12'(X0,X1), inference(resolution, [status(thm)], [d0,c18])).
% 19.77/2.99 cnf(d2, plain, sK18(X0,'relation$ufield'(X0)) = sK17(X0,'relation$ufield'(X0)) | ~in(sK17(X0,'relation$ufield'(X0)),'relation$ufield'(X0)) | 'Ts12'(X0,'relation$ufield'(X0)) | ~'Ts44'(X0) | 'Ts12'(X0,'relation$ufield'(X0)), inference(resolution, [status(thm)], [d1,c15])).
% 19.77/2.99 cnf(d3, plain, sK18(X0,'relation$ufield'(X0)) = sK17(X0,'relation$ufield'(X0)) | 'Ts12'(X0,'relation$ufield'(X0)) | ~'Ts44'(X0) | 'Ts12'(X0,'relation$ufield'(X0)), inference(resolution, [status(thm)], [d2,c14])).
% 19.77/2.99 cnf(d4, plain, sK18(X0,'relation$ufield'(X0)) = sK17(X0,'relation$ufield'(X0)) | ~'Ts44'(X0) | ~relation(X0) | 'is$uconnected$uin'(X0,'relation$ufield'(X0)), inference(resolution, [status(thm)], [d3,c12])).
% 19.77/2.99 cnf(d5, plain, sK18(X0,'relation$ufield'(X0)) = sK17(X0,'relation$ufield'(X0)) | ~relation(X0) | ~'Ts44'(X0) | ~relation(X0) | connected(X0), inference(resolution, [status(thm)], [d4,c8])).
% 19.77/2.99 cnf(d6, plain, ~relation(X0) | 'Ts12'(X0,'relation$ufield'(X0)) | ~relation(X0) | ~connected(X0), inference(resolution, [status(thm)], [c11,c7])).
% 19.77/2.99 cnf(d7, plain, ~relation(X0) | ~connected(X0) | X1 = X2 | ~in(X2,'relation$ufield'(X0)) | ~in(X1,'relation$ufield'(X0)) | in('ordered$upair'(X2,X1),X0) | in('ordered$upair'(X1,X2),X0), inference(resolution, [status(thm)], [d6,c13])).
% 19.77/2.99 cnf(d8, plain, sK48(X0) = sK49(X0) | ~in(sK49(X0),'relation$ufield'(X0)) | ~in(sK48(X0),'relation$ufield'(X0)) | in('ordered$upair'(sK48(X0),sK49(X0)),X0) | ~relation(X0) | ~connected(X0) | 'Ts44'(X0), inference(resolution, [status(thm)], [d7,c51])).
% 19.77/2.99 cnf(d9, plain, sK48(X0) = sK49(X0) | ~in(sK48(X0),'relation$ufield'(X0)) | ~in(sK49(X0),'relation$ufield'(X0)) | ~relation(X0) | ~connected(X0) | 'Ts44'(X0) | 'Ts44'(X0), inference(resolution, [status(thm)], [d8,c50])).
% 19.77/2.99 cnf(d10, plain, sK48(X0) = sK49(X0) | ~in(sK48(X0),'relation$ufield'(X0)) | ~relation(X0) | ~connected(X0) | 'Ts44'(X0) | 'Ts44'(X0), inference(resolution, [status(thm)], [d9,c48])).
% 19.77/2.99 cnf(d11, plain, sK48(X0) = sK49(X0) | ~relation(X0) | ~connected(X0) | 'Ts44'(X0) | 'Ts44'(X0), inference(resolution, [status(thm)], [d10,c47])).
% 19.77/2.99 cnf(d12, plain, sK48(sK45) = sK49(sK45) | ~relation(sK45) | 'Ts44'(sK45) | 'Ts44'(sK45), inference(resolution, [status(thm)], [d11,c43])).
% 19.77/2.99 cnf(d13, plain, sK48(sK45) = sK49(sK45) | 'Ts44'(sK45), inference(resolution, [status(thm)], [c41,d12])).
% 19.77/2.99 cnf(d14, plain, sK48(sK45) = sK49(sK45) | ~connected(sK45), inference(resolution, [status(thm)], [d13,c44])).
% 19.77/2.99 cnf(d15, plain, sK48(sK45) = sK49(sK45) | sK18(sK45,'relation$ufield'(sK45)) = sK17(sK45,'relation$ufield'(sK45)) | ~relation(sK45) | connected(sK45), inference(resolution, [status(thm)], [d13,d5])).
% 19.77/2.99 cnf(d16, plain, sK18(sK45,'relation$ufield'(sK45)) = sK17(sK45,'relation$ufield'(sK45)) | sK48(sK45) = sK49(sK45) | connected(sK45), inference(resolution, [status(thm)], [c41,d15])).
% 19.77/2.99 cnf(d17, plain, sK18(sK45,'relation$ufield'(sK45)) = sK17(sK45,'relation$ufield'(sK45)) | sK48(sK45) = sK49(sK45) | sK48(sK45) = sK49(sK45), inference(resolution, [status(thm)], [d16,d14])).
% 19.77/2.99 cnf(d18, plain, sK17(sK45,'relation$ufield'(sK45)) != sK17(sK45,'relation$ufield'(sK45)) | 'Ts12'(sK45,'relation$ufield'(sK45)) | sK48(sK45) = sK49(sK45), inference(superposition, [status(thm)], [d17,c16])).
% 19.77/2.99 cnf(d19, plain, sK48(sK45) = sK49(sK45) | 'Ts12'(sK45,'relation$ufield'(sK45)), inference(equality_resolution, [status(thm)], [d18])).
% 19.77/2.99 cnf(d20, plain, sK48(sK45) = sK49(sK45) | ~relation(sK45) | 'is$uconnected$uin'(sK45,'relation$ufield'(sK45)), inference(resolution, [status(thm)], [d19,c12])).
% 19.77/2.99 cnf(d21, plain, sK48(sK45) = sK49(sK45) | 'is$uconnected$uin'(sK45,'relation$ufield'(sK45)), inference(resolution, [status(thm)], [c41,d20])).
% 19.77/2.99 cnf(d22, plain, sK48(sK45) = sK49(sK45) | ~relation(sK45) | connected(sK45), inference(resolution, [status(thm)], [d21,c8])).
% 19.77/2.99 cnf(d23, plain, sK48(sK45) = sK49(sK45) | connected(sK45), inference(resolution, [status(thm)], [c41,d22])).
% 19.77/2.99 cnf(d24, plain, sK48(sK45) = sK49(sK45) | sK48(sK45) = sK49(sK45), inference(resolution, [status(thm)], [d23,d14])).
% 19.77/2.99 cnf(d25, plain, sK48(sK45) != sK48(sK45) | 'Ts44'(sK45), inference(superposition, [status(thm)], [d24,c49])).
% 19.77/2.99 cnf(d26, plain, 'Ts44'(sK45), inference(equality_resolution, [status(thm)], [d25])).
% 19.77/2.99 cnf(d27, plain, sK18(sK45,'relation$ufield'(sK45)) = sK17(sK45,'relation$ufield'(sK45)) | ~relation(sK45) | connected(sK45), inference(resolution, [status(thm)], [d26,d5])).
% 19.77/2.99 cnf(d28, plain, sK18(sK45,'relation$ufield'(sK45)) = sK17(sK45,'relation$ufield'(sK45)) | connected(sK45), inference(resolution, [status(thm)], [c41,d27])).
% 19.77/2.99 cnf(d29, plain, ~connected(sK45), inference(resolution, [status(thm)], [d26,c44])).
% 19.77/2.99 cnf(d30, plain, sK18(sK45,'relation$ufield'(sK45)) = sK17(sK45,'relation$ufield'(sK45)), inference(resolution, [status(thm)], [d29,d28])).
% 19.77/2.99 cnf(d31, plain, sK17(sK45,'relation$ufield'(sK45)) != sK17(sK45,'relation$ufield'(sK45)) | 'Ts12'(sK45,'relation$ufield'(sK45)), inference(superposition, [status(thm)], [d30,c16])).
% 19.77/2.99 cnf(d32, plain, 'Ts12'(sK45,'relation$ufield'(sK45)), inference(equality_resolution, [status(thm)], [d31])).
% 19.77/2.99 cnf(d33, plain, ~relation(sK45) | 'is$uconnected$uin'(sK45,'relation$ufield'(sK45)), inference(resolution, [status(thm)], [d32,c12])).
% 19.77/2.99 cnf(d34, plain, 'is$uconnected$uin'(sK45,'relation$ufield'(sK45)), inference(resolution, [status(thm)], [c41,d33])).
% 19.77/2.99 cnf(d35, plain, ~relation(sK45) | connected(sK45), inference(resolution, [status(thm)], [d34,c8])).
% 19.77/2.99 cnf(d36, plain, connected(sK45), inference(resolution, [status(thm)], [c41,d35])).
% 19.77/2.99 cnf(d37, plain, $false, inference(resolution, [status(thm)], [d29,d36])).
% 19.77/2.99 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------