%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU425+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 08:41:59 AM UTC 2026
% Result : Theorem 22.79s 3.56s
% Output : CNFRefutation 22.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU425+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 09:44:05 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.79/3.56 % SZS status Theorem for theBenchmark.p
% 22.79/3.56 % SZS output start CNFRefutation for theBenchmark.p
% 22.79/3.56 fof(cc1_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('m1$usubset$u1'(X2,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1))) => 'v1$urelat$u1'(X2)))).
% 22.79/3.56 fof(d1_funct_2, axiom, ! [X0] : ! [X1] : ! [X2] : (('m2$urelset$u1'(X2,X0,X1) => (((X1 = 'k1$uxboole$u0' => X0 = 'k1$uxboole$u0') => ('v1$ufunct$u2'(X2,X0,X1) <=> X0 = 'k4$urelset$u1'(X0,X1,X2))) & (X1 = 'k1$uxboole$u0' => (X0 = 'k1$uxboole$u0' | ('v1$ufunct$u2'(X2,X0,X1) <=> X2 = 'k1$uxboole$u0'))))))).
% 22.79/3.56 fof(d3_relset_2, axiom, ! [X0] : ! [X1] : (('v1$urelat$u1'(X1) => ! [X2] : ((('v1$urelat$u1'(X2) & 'v1$ufunct$u1'(X2)) => (X2 = 'k5$urelset$u2'(X0,X1) <=> ('k1$urelat$u1'(X2) = 'k1$uzfmisc$u1'(X0) & ! [X3] : (('r1$utarski'(X3,X0) => 'k1$ufunct$u1'(X2,X3) = 'k9$urelat$u1'(X1,X3)))))))))).
% 22.79/3.56 fof(dt_k5_relset_2, axiom, ! [X0] : ! [X1] : (('v1$urelat$u1'(X1) => ('v1$urelat$u1'('k5$urelset$u2'(X0,X1)) & 'v1$ufunct$u1'('k5$urelset$u2'(X0,X1)))))).
% 22.79/3.56 fof(fc12_relat_1, axiom, ('v1$uxboole$u0'('k1$uxboole$u0') & ('v1$urelat$u1'('k1$uxboole$u0') & 'v3$urelat$u1'('k1$uxboole$u0')))).
% 22.79/3.56 fof(fc1_subset_1, axiom, ! [X0] : ~'v1$uxboole$u0'('k1$uzfmisc$u1'(X0))).
% 22.79/3.56 fof(redefinition_k4_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('m1$urelset$u1'(X2,X0,X1) => 'k4$urelset$u1'(X0,X1,X2) = 'k1$urelat$u1'(X2)))).
% 22.79/3.56 fof(redefinition_m2_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('m2$urelset$u1'(X2,X0,X1) <=> 'm1$urelset$u1'(X2,X0,X1)))).
% 22.79/3.56 fof(reflexivity_r1_tarski, axiom, ! [X0] : ! [X1] : 'r1$utarski'(X0,X0)).
% 22.79/3.56 fof(t11_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('v1$urelat$u1'(X2) => (('r1$utarski'('k1$urelat$u1'(X2),X0) & 'r1$utarski'('k2$urelat$u1'(X2),X1)) => 'm2$urelset$u1'(X2,X0,X1))))).
% 22.79/3.56 fof(t20_relset_2, axiom, ! [X0] : ! [X1] : ! [X2] : (('m1$usubset$u1'(X2,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1))) => 'r1$utarski'('k2$urelat$u1'('k5$urelset$u2'(X0,X2)),'k1$uzfmisc$u1'('k2$urelat$u1'(X2)))))).
% 22.79/3.56 fof(t21_relset_2, conjecture, ! [X0] : ! [X1] : ! [X2] : (('m1$usubset$u1'(X2,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1))) => ('v1$ufunct$u1'('k5$urelset$u2'(X0,X2)) & ('v1$ufunct$u2'('k5$urelset$u2'(X0,X2),'k1$uzfmisc$u1'(X0),'k1$uzfmisc$u1'('k2$urelat$u1'(X2))) & 'm2$urelset$u1'('k5$urelset$u2'(X0,X2),'k1$uzfmisc$u1'(X0),'k1$uzfmisc$u1'('k2$urelat$u1'(X2)))))))).
% 22.79/3.56 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : (('m1$usubset$u1'(X2,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1))) => ('v1$ufunct$u1'('k5$urelset$u2'(X0,X2)) & ('v1$ufunct$u2'('k5$urelset$u2'(X0,X2),'k1$uzfmisc$u1'(X0),'k1$uzfmisc$u1'('k2$urelat$u1'(X2))) & 'm2$urelset$u1'('k5$urelset$u2'(X0,X2),'k1$uzfmisc$u1'(X0),'k1$uzfmisc$u1'('k2$urelat$u1'(X2))))))), inference(negate_conjecture, [status(cth)], [t21_relset_2])).
% 22.79/3.56 cnf(c2, plain, ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X2))) | 'v1$urelat$u1'(X0), inference(clausification, [status(esa)], [cc1_relset_1])).
% 22.79/3.56 cnf(c3, plain, ~'m2$urelset$u1'(X0,X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d1_funct_2])).
% 22.79/3.56 cnf(c5, plain, ~X0(X1,X2,X3) | X2 = 'k1$uxboole$u0' | 'v1$ufunct$u2'(X3,X1,X2) | X1 != 'k4$urelset$u1'(X1,X2,X3), inference(clausification, [status(esa)], [d1_funct_2])).
% 22.79/3.56 cnf(c10, plain, ~'v1$ufunct$u1'(X0) | ~'v1$urelat$u1'(X1) | 'k1$urelat$u1'(X0) = 'k1$uzfmisc$u1'(X2) | X0 != 'k5$urelset$u2'(X2,X1) | ~'v1$urelat$u1'(X0), inference(clausification, [status(esa)], [d3_relset_2])).
% 22.79/3.56 cnf(c15, plain, ~'v1$urelat$u1'(X0) | 'v1$urelat$u1'('k5$urelset$u2'(X1,X0)), inference(clausification, [status(esa)], [dt_k5_relset_2])).
% 22.79/3.56 cnf(c16, plain, ~'v1$urelat$u1'(X0) | 'v1$ufunct$u1'('k5$urelset$u2'(X1,X0)), inference(clausification, [status(esa)], [dt_k5_relset_2])).
% 22.79/3.56 cnf(c21, plain, 'v1$uxboole$u0'('k1$uxboole$u0'), inference(clausification, [status(esa)], [fc12_relat_1])).
% 22.79/3.56 cnf(c24, plain, ~'v1$uxboole$u0'('k1$uzfmisc$u1'(X0)), inference(clausification, [status(esa)], [fc1_subset_1])).
% 22.79/3.56 cnf(c48, plain, ~'m1$urelset$u1'(X0,X1,X2) | 'k4$urelset$u1'(X1,X2,X0) = 'k1$urelat$u1'(X0), inference(clausification, [status(esa)], [redefinition_k4_relset_1])).
% 22.79/3.56 cnf(c49, plain, ~'m2$urelset$u1'(X0,X1,X2) | 'm1$urelset$u1'(X0,X1,X2), inference(clausification, [status(esa)], [redefinition_m2_relset_1])).
% 22.79/3.56 cnf(c51, plain, 'r1$utarski'(X0,X0), inference(clausification, [status(esa)], [reflexivity_r1_tarski])).
% 22.79/3.56 cnf(c52, plain, ~'v1$urelat$u1'(X0) | ~'r1$utarski'('k1$urelat$u1'(X0),X1) | ~'r1$utarski'('k2$urelat$u1'(X0),X2) | 'm2$urelset$u1'(X0,X1,X2), inference(clausification, [status(esa)], [t11_relset_1])).
% 22.79/3.56 cnf(c54, plain, ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X2))) | 'r1$utarski'('k2$urelat$u1'('k5$urelset$u2'(X1,X0)),'k1$uzfmisc$u1'('k2$urelat$u1'(X0))), inference(clausification, [status(esa)], [t20_relset_2])).
% 22.79/3.56 cnf(c63, plain, 'm1$usubset$u1'(sK83,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK81,sK82))), inference(clausification, [status(esa)], [negated_conjecture])).
% 22.79/3.56 cnf(c64, plain, ~'v1$ufunct$u1'('k5$urelset$u2'(sK81,sK83)) | ~'v1$ufunct$u2'('k5$urelset$u2'(sK81,sK83),'k1$uzfmisc$u1'(sK81),'k1$uzfmisc$u1'('k2$urelat$u1'(sK83))) | ~'m2$urelset$u1'('k5$urelset$u2'(sK81,sK83),'k1$uzfmisc$u1'(sK81),'k1$uzfmisc$u1'('k2$urelat$u1'(sK83))), inference(clausification, [status(esa)], [negated_conjecture])).
% 22.79/3.56 cnf(d0, plain, 'v1$urelat$u1'(sK83), inference(resolution, [status(thm)], [c2,c63])).
% 22.79/3.56 cnf(d1, plain, 'k1$urelat$u1'('k5$urelset$u2'(X0,X1)) = 'k1$uzfmisc$u1'(X0) | ~'v1$urelat$u1'('k5$urelset$u2'(X0,X1)) | ~'v1$urelat$u1'(X1) | ~'v1$ufunct$u1'('k5$urelset$u2'(X0,X1)), inference(equality_resolution, [status(thm)], [c10])).
% 22.79/3.56 cnf(d2, plain, 'k1$urelat$u1'('k5$urelset$u2'(X0,X1)) = 'k1$uzfmisc$u1'(X0) | ~'v1$urelat$u1'(X1) | ~'v1$urelat$u1'('k5$urelset$u2'(X0,X1)) | ~'v1$urelat$u1'(X1), inference(resolution, [status(thm)], [d1,c16])).
% 22.79/3.56 cnf(d3, plain, 'k1$urelat$u1'('k5$urelset$u2'(X0,X1)) = 'k1$uzfmisc$u1'(X0) | ~'v1$urelat$u1'(X1) | ~'v1$urelat$u1'(X1), inference(resolution, [status(thm)], [d2,c15])).
% 22.79/3.56 cnf(d4, plain, 'k1$urelat$u1'('k5$urelset$u2'(X0,sK83)) = 'k1$uzfmisc$u1'(X0), inference(resolution, [status(thm)], [d3,d0])).
% 22.79/3.56 cnf(d5, plain, 'r1$utarski'('k2$urelat$u1'('k5$urelset$u2'(sK81,sK83)),'k1$uzfmisc$u1'('k2$urelat$u1'(sK83))), inference(resolution, [status(thm)], [c54,c63])).
% 22.79/3.56 cnf(d6, plain, ~'v1$urelat$u1'('k5$urelset$u2'(sK81,sK83)) | 'm2$urelset$u1'('k5$urelset$u2'(sK81,sK83),X0,'k1$uzfmisc$u1'('k2$urelat$u1'(sK83))) | ~'r1$utarski'('k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)),X0), inference(resolution, [status(thm)], [d5,c52])).
% 22.79/3.56 cnf(d7, plain, ~'v1$urelat$u1'('k5$urelset$u2'(sK81,sK83)) | 'm2$urelset$u1'('k5$urelset$u2'(sK81,sK83),X0,'k1$uzfmisc$u1'('k2$urelat$u1'(sK83))) | ~'r1$utarski'('k1$uzfmisc$u1'(sK81),X0), inference(demodulation, [status(thm)], [d6,d4])).
% 22.79/3.56 cnf(d8, plain, ~'v1$urelat$u1'('k5$urelset$u2'(sK81,sK83)) | ~'r1$utarski'('k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)),X0) | 'Ts6'(X0,'k1$uzfmisc$u1'('k2$urelat$u1'(sK83)),'k5$urelset$u2'(sK81,sK83)), inference(resolution, [status(thm)], [d6,c3])).
% 22.79/3.56 cnf(d9, plain, ~'v1$urelat$u1'('k5$urelset$u2'(sK81,sK83)) | ~'r1$utarski'('k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)),X0) | 'm1$urelset$u1'('k5$urelset$u2'(sK81,sK83),X0,'k1$uzfmisc$u1'('k2$urelat$u1'(sK83))), inference(resolution, [status(thm)], [d6,c49])).
% 22.79/3.56 cnf(d10, plain, ~'v1$urelat$u1'('k5$urelset$u2'(sK81,sK83)) | ~'r1$utarski'('k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)),X0) | 'k4$urelset$u1'(X0,'k1$uzfmisc$u1'('k2$urelat$u1'(sK83)),'k5$urelset$u2'(sK81,sK83)) = 'k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)), inference(resolution, [status(thm)], [d9,c48])).
% 22.79/3.56 cnf(d11, plain, 'k4$urelset$u1'('k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)),'k1$uzfmisc$u1'('k2$urelat$u1'(sK83)),'k5$urelset$u2'(sK81,sK83)) = 'k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)) | ~'v1$urelat$u1'('k5$urelset$u2'(sK81,sK83)), inference(resolution, [status(thm)], [d10,c51])).
% 22.79/3.56 cnf(d12, plain, 'k4$urelset$u1'('k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)),'k1$uzfmisc$u1'('k2$urelat$u1'(sK83)),'k5$urelset$u2'(sK81,sK83)) = 'k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)) | ~'v1$urelat$u1'(sK83), inference(resolution, [status(thm)], [d11,c15])).
% 22.79/3.56 cnf(d13, plain, 'k4$urelset$u1'('k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)),'k1$uzfmisc$u1'('k2$urelat$u1'(sK83)),'k5$urelset$u2'(sK81,sK83)) = 'k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)), inference(resolution, [status(thm)], [d0,d12])).
% 22.79/3.56 cnf(d14, plain, 'k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)) != 'k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)) | 'k1$uzfmisc$u1'('k2$urelat$u1'(sK83)) = 'k1$uxboole$u0' | ~'Ts6'('k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)),'k1$uzfmisc$u1'('k2$urelat$u1'(sK83)),'k5$urelset$u2'(sK81,sK83)) | 'v1$ufunct$u2'('k5$urelset$u2'(sK81,sK83),'k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)),'k1$uzfmisc$u1'('k2$urelat$u1'(sK83))), inference(superposition, [status(thm)], [d13,c5])).
% 22.79/3.56 cnf(d15, plain, 'k1$uzfmisc$u1'('k2$urelat$u1'(sK83)) = 'k1$uxboole$u0' | ~'Ts6'('k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)),'k1$uzfmisc$u1'('k2$urelat$u1'(sK83)),'k5$urelset$u2'(sK81,sK83)) | 'v1$ufunct$u2'('k5$urelset$u2'(sK81,sK83),'k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)),'k1$uzfmisc$u1'('k2$urelat$u1'(sK83))), inference(equality_resolution, [status(thm)], [d14])).
% 22.79/3.56 cnf(d16, plain, 'k1$uzfmisc$u1'('k2$urelat$u1'(sK83)) = 'k1$uxboole$u0' | 'v1$ufunct$u2'('k5$urelset$u2'(sK81,sK83),'k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)),'k1$uzfmisc$u1'('k2$urelat$u1'(sK83))) | ~'v1$urelat$u1'('k5$urelset$u2'(sK81,sK83)) | ~'r1$utarski'('k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)),'k1$urelat$u1'('k5$urelset$u2'(sK81,sK83))), inference(resolution, [status(thm)], [d15,d8])).
% 22.79/3.56 cnf(d17, plain, 'k1$uzfmisc$u1'('k2$urelat$u1'(sK83)) = 'k1$uxboole$u0' | ~'v1$urelat$u1'('k5$urelset$u2'(sK81,sK83)) | 'v1$ufunct$u2'('k5$urelset$u2'(sK81,sK83),'k1$urelat$u1'('k5$urelset$u2'(sK81,sK83)),'k1$uzfmisc$u1'('k2$urelat$u1'(sK83))), inference(resolution, [status(thm)], [c51,d16])).
% 22.79/3.56 cnf(d18, plain, 'k1$uzfmisc$u1'('k2$urelat$u1'(sK83)) = 'k1$uxboole$u0' | ~'v1$urelat$u1'('k5$urelset$u2'(sK81,sK83)) | 'v1$ufunct$u2'('k5$urelset$u2'(sK81,sK83),'k1$uzfmisc$u1'(sK81),'k1$uzfmisc$u1'('k2$urelat$u1'(sK83))), inference(demodulation, [status(thm)], [d17,d4])).
% 22.79/3.56 cnf(d19, plain, 'k1$uzfmisc$u1'('k2$urelat$u1'(sK83)) = 'k1$uxboole$u0' | ~'v1$urelat$u1'('k5$urelset$u2'(sK81,sK83)) | ~'m2$urelset$u1'('k5$urelset$u2'(sK81,sK83),'k1$uzfmisc$u1'(sK81),'k1$uzfmisc$u1'('k2$urelat$u1'(sK83))) | ~'v1$ufunct$u1'('k5$urelset$u2'(sK81,sK83)), inference(resolution, [status(thm)], [d18,c64])).
% 22.79/3.56 cnf(d20, plain, 'k1$uzfmisc$u1'('k2$urelat$u1'(sK83)) = 'k1$uxboole$u0' | ~'v1$urelat$u1'('k5$urelset$u2'(sK81,sK83)) | ~'v1$ufunct$u1'('k5$urelset$u2'(sK81,sK83)) | ~'v1$urelat$u1'('k5$urelset$u2'(sK81,sK83)) | ~'r1$utarski'('k1$uzfmisc$u1'(sK81),'k1$uzfmisc$u1'(sK81)), inference(resolution, [status(thm)], [d19,d7])).
% 22.79/3.56 cnf(d21, plain, 'k1$uzfmisc$u1'('k2$urelat$u1'(sK83)) = 'k1$uxboole$u0' | ~'v1$urelat$u1'('k5$urelset$u2'(sK81,sK83)) | ~'v1$ufunct$u1'('k5$urelset$u2'(sK81,sK83)), inference(resolution, [status(thm)], [c51,d20])).
% 22.79/3.56 cnf(d22, plain, 'k1$uzfmisc$u1'('k2$urelat$u1'(sK83)) = 'k1$uxboole$u0' | ~'v1$urelat$u1'('k5$urelset$u2'(sK81,sK83)) | ~'v1$urelat$u1'(sK83), inference(resolution, [status(thm)], [d21,c16])).
% 22.79/3.56 cnf(d23, plain, 'k1$uzfmisc$u1'('k2$urelat$u1'(sK83)) = 'k1$uxboole$u0' | ~'v1$urelat$u1'('k5$urelset$u2'(sK81,sK83)), inference(resolution, [status(thm)], [d0,d22])).
% 22.79/3.56 cnf(d24, plain, 'k1$uzfmisc$u1'('k2$urelat$u1'(sK83)) = 'k1$uxboole$u0' | ~'v1$urelat$u1'(sK83), inference(resolution, [status(thm)], [d23,c15])).
% 22.79/3.56 cnf(d25, plain, 'k1$uzfmisc$u1'('k2$urelat$u1'(sK83)) = 'k1$uxboole$u0', inference(resolution, [status(thm)], [d0,d24])).
% 22.79/3.56 cnf(d26, plain, ~'v1$uxboole$u0'('k1$uxboole$u0'), inference(superposition, [status(thm)], [d25,c24])).
% 22.79/3.56 cnf(d27, plain, $false, inference(resolution, [status(thm)], [c21,d26])).
% 22.79/3.56 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------