%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET644+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 08:32:59 AM UTC 2026
% Result : Theorem 26.79s 14.13s
% Output : CNFRefutation 26.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET644+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/10.32 % Computer : n012.cluster.edu
% 0.04/10.32 % Model : x86_64 x86_64
% 0.04/10.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/10.32 % Memory : 8046.5625MB
% 0.04/10.32 % OS : Linux 6.8.0-71-generic
% 0.04/10.32 % CPULimit : 300
% 0.04/10.32 % WCLimit : 300
% 0.04/10.32 % DateTime : Sat Sep 26 08:02:31 UTC 2026
% 0.04/10.32 % CPUTime :
% 0.04/10.32 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.79/14.13 % SZS status Theorem for theBenchmark.p
% 26.79/14.13 % SZS output start CNFRefutation for theBenchmark.p
% 26.79/14.13 fof(p2, axiom, ! [X0] : (('ilf$utype'(X0,'set$utype') => ! [X1] : (('ilf$utype'(X1,'set$utype') => ! [X2] : (('ilf$utype'(X2,'set$utype') => ! [X3] : (('ilf$utype'(X3,'set$utype') => (member('ordered$upair'(X0,X1),'cross$uproduct'(X2,X3)) <=> (member(X0,X2) & member(X1,X3)))))))))))).
% 26.79/14.13 fof(p5, axiom, ! [X0] : (('ilf$utype'(X0,'set$utype') => ! [X1] : (('ilf$utype'(X1,'set$utype') => (! [X2] : (('ilf$utype'(X2,'subset$utype'('cross$uproduct'(X0,X1))) => 'ilf$utype'(X2,'relation$utype'(X0,X1)))) & ! [X3] : (('ilf$utype'(X3,'relation$utype'(X0,X1)) => 'ilf$utype'(X3,'subset$utype'('cross$uproduct'(X0,X1))))))))))).
% 26.79/14.13 fof(p14, axiom, ! [X0] : (('ilf$utype'(X0,'set$utype') => ! [X1] : (('ilf$utype'(X1,'set$utype') => ('ilf$utype'(X1,'subset$utype'(X0)) <=> 'ilf$utype'(X1,'member$utype'('power$uset'(X0))))))))).
% 26.79/14.13 fof(p19, axiom, ! [X0] : (('ilf$utype'(X0,'set$utype') => ! [X1] : (('ilf$utype'(X1,'set$utype') => (member(X0,'power$uset'(X1)) <=> ! [X2] : (('ilf$utype'(X2,'set$utype') => (member(X2,X0) => member(X2,X1)))))))))).
% 26.79/14.13 fof(p20, axiom, ! [X0] : (('ilf$utype'(X0,'set$utype') => (~empty('power$uset'(X0)) & 'ilf$utype'('power$uset'(X0),'set$utype'))))).
% 26.79/14.13 fof(p21, axiom, ! [X0] : (('ilf$utype'(X0,'set$utype') => ! [X1] : (((~empty(X1) & 'ilf$utype'(X1,'set$utype')) => ('ilf$utype'(X0,'member$utype'(X1)) <=> member(X0,X1))))))).
% 26.79/14.13 fof(p23, axiom, ! [X0] : (('ilf$utype'(X0,'set$utype') => ('relation$ulike'(X0) <=> ! [X1] : (('ilf$utype'(X1,'set$utype') => (member(X1,X0) => ? [X2] : (('ilf$utype'(X2,'set$utype') & ? [X3] : (('ilf$utype'(X3,'set$utype') & X1 = 'ordered$upair'(X2,X3)))))))))))).
% 26.79/14.13 fof(p24, axiom, ! [X0] : (('ilf$utype'(X0,'set$utype') => ! [X1] : (('ilf$utype'(X1,'set$utype') => ! [X2] : (('ilf$utype'(X2,'subset$utype'('cross$uproduct'(X0,X1))) => 'relation$ulike'(X2)))))))).
% 26.79/14.13 fof(p27, axiom, ! [X0] : 'ilf$utype'(X0,'set$utype')).
% 26.79/14.13 fof(prove_relset_1_6, conjecture, ! [X0] : (('ilf$utype'(X0,'set$utype') => ! [X1] : (('ilf$utype'(X1,'set$utype') => ! [X2] : (('ilf$utype'(X2,'set$utype') => ! [X3] : (('ilf$utype'(X3,'relation$utype'(X0,X1)) => (member(X2,X3) => ? [X4] : (('ilf$utype'(X4,'set$utype') & ? [X5] : (('ilf$utype'(X5,'set$utype') & (X2 = 'ordered$upair'(X4,X5) & (member(X4,X0) & member(X5,X1))))))))))))))))).
% 26.79/14.13 fof(negated_conjecture, negated_conjecture, ~! [X0] : (('ilf$utype'(X0,'set$utype') => ! [X1] : (('ilf$utype'(X1,'set$utype') => ! [X2] : (('ilf$utype'(X2,'set$utype') => ! [X3] : (('ilf$utype'(X3,'relation$utype'(X0,X1)) => (member(X2,X3) => ? [X4] : (('ilf$utype'(X4,'set$utype') & ? [X5] : (('ilf$utype'(X5,'set$utype') & (X2 = 'ordered$upair'(X4,X5) & (member(X4,X0) & member(X5,X1)))))))))))))))), inference(negate_conjecture, [status(cth)], [prove_relset_1_6])).
% 26.79/14.13 cnf(c3, plain, member(X0,X1) | ~'ilf$utype'(X0,'set$utype') | ~member('ordered$upair'(X0,X2),'cross$uproduct'(X1,X3)) | ~'ilf$utype'(X2,'set$utype') | ~'ilf$utype'(X1,'set$utype') | ~'ilf$utype'(X3,'set$utype'), inference(clausification, [status(esa)], [p2])).
% 26.79/14.13 cnf(c4, plain, ~'ilf$utype'(X0,'set$utype') | member(X1,X2) | ~member('ordered$upair'(X0,X1),'cross$uproduct'(X3,X2)) | ~'ilf$utype'(X1,'set$utype') | ~'ilf$utype'(X3,'set$utype') | ~'ilf$utype'(X2,'set$utype'), inference(clausification, [status(esa)], [p2])).
% 26.79/14.13 cnf(c10, plain, ~'ilf$utype'(X0,'set$utype') | ~'ilf$utype'(X1,'set$utype') | ~'ilf$utype'(X2,'relation$utype'(X0,X1)) | 'ilf$utype'(X2,'subset$utype'('cross$uproduct'(X0,X1))), inference(clausification, [status(esa)], [p5])).
% 26.79/14.13 cnf(c23, plain, ~'ilf$utype'(X0,'set$utype') | ~'ilf$utype'(X1,'set$utype') | ~'ilf$utype'(X1,'subset$utype'(X0)) | 'ilf$utype'(X1,'member$utype'('power$uset'(X0))), inference(clausification, [status(esa)], [p14])).
% 26.79/14.13 cnf(c39, plain, ~member(X0,'power$uset'(X1)) | ~member(X2,X0) | member(X2,X1) | ~'ilf$utype'(X1,'set$utype') | ~'ilf$utype'(X0,'set$utype') | ~'ilf$utype'(X2,'set$utype'), inference(clausification, [status(esa)], [p19])).
% 26.79/14.13 cnf(c43, plain, ~'ilf$utype'(X0,'set$utype') | ~empty('power$uset'(X0)), inference(clausification, [status(esa)], [p20])).
% 26.79/14.13 cnf(c45, plain, empty(X0) | member(X1,X0) | ~'ilf$utype'(X0,'set$utype') | ~'ilf$utype'(X1,'set$utype') | ~'ilf$utype'(X1,'member$utype'(X0)), inference(clausification, [status(esa)], [p21])).
% 26.79/14.13 cnf(c48, plain, ~'ilf$utype'(X0,'set$utype') | X1(X0), inference(clausification, [status(esa)], [p23])).
% 26.79/14.13 cnf(c51, plain, ~member(X0,X1) | ~'ilf$utype'(X0,'set$utype') | ~'relation$ulike'(X1) | 'ordered$upair'(sK59(X0),sK60(X0)) = X0 | ~X2(X1), inference(clausification, [status(esa)], [p23])).
% 26.79/14.13 cnf(c55, plain, ~'ilf$utype'(X0,'set$utype') | ~'ilf$utype'(X1,'set$utype') | ~'ilf$utype'(X2,'subset$utype'('cross$uproduct'(X0,X1))) | 'relation$ulike'(X2), inference(clausification, [status(esa)], [p24])).
% 26.79/14.13 cnf(c60, plain, 'ilf$utype'(X0,'set$utype'), inference(clausification, [status(esa)], [p27])).
% 26.79/14.13 cnf(c64, plain, 'ilf$utype'(sK75,'relation$utype'(sK72,sK73)), inference(clausification, [status(esa)], [negated_conjecture])).
% 26.79/14.13 cnf(c65, plain, ~member(X0,sK73) | ~member(X1,sK72) | ~'ilf$utype'(X0,'set$utype') | 'ordered$upair'(X1,X0) != sK74 | ~'ilf$utype'(X1,'set$utype'), inference(clausification, [status(esa)], [negated_conjecture])).
% 26.79/14.13 cnf(c66, plain, member(sK74,sK75), inference(clausification, [status(esa)], [negated_conjecture])).
% 26.79/14.13 cnf(d0, plain, ~'ilf$utype'(X0,'set$utype') | ~'ilf$utype'(X1,'set$utype') | ~member(X0,'power$uset'(X2)) | member(X1,X2) | ~member(X1,X0), inference(resolution, [status(thm)], [c60,c39])).
% 26.79/14.13 cnf(d1, plain, 'ilf$utype'(X0,'subset$utype'('cross$uproduct'(X1,X2))) | ~'ilf$utype'(X0,'relation$utype'(X1,X2)) | ~'ilf$utype'(X2,'set$utype'), inference(resolution, [status(thm)], [c60,c10])).
% 26.79/14.13 cnf(d2, plain, ~'ilf$utype'(X0,'set$utype') | ~'ilf$utype'(X0,'subset$utype'(X1)) | 'ilf$utype'(X0,'member$utype'('power$uset'(X1))), inference(resolution, [status(thm)], [c60,c23])).
% 26.79/14.13 cnf(d3, plain, ~'ilf$utype'(X0,'set$utype') | ~'ilf$utype'(X0,'member$utype'(X1)) | member(X0,X1) | empty(X1), inference(resolution, [status(thm)], [c60,c45])).
% 26.79/14.13 cnf(d4, plain, ~'ilf$utype'(X0,'set$utype') | member(X0,'power$uset'(X1)) | empty('power$uset'(X1)) | ~'ilf$utype'(X0,'set$utype') | ~'ilf$utype'(X0,'subset$utype'(X1)), inference(resolution, [status(thm)], [d3,d2])).
% 26.79/14.13 cnf(d5, plain, ~'ilf$utype'(X0,'subset$utype'(X1)) | member(X0,'power$uset'(X1)) | empty('power$uset'(X1)), inference(resolution, [status(thm)], [c60,d4])).
% 26.79/14.13 cnf(d6, plain, ~empty('power$uset'(X0)), inference(resolution, [status(thm)], [c60,c43])).
% 26.79/14.13 cnf(d7, plain, ~'ilf$utype'(X0,'subset$utype'(X1)) | member(X0,'power$uset'(X1)), inference(resolution, [status(thm)], [d6,d5])).
% 26.79/14.13 cnf(d8, plain, member(X0,'power$uset'('cross$uproduct'(X1,X2))) | ~'ilf$utype'(X2,'set$utype') | ~'ilf$utype'(X0,'relation$utype'(X1,X2)), inference(resolution, [status(thm)], [d7,d1])).
% 26.79/14.13 cnf(d9, plain, ~'ilf$utype'(X0,'relation$utype'(X1,X2)) | member(X0,'power$uset'('cross$uproduct'(X1,X2))), inference(resolution, [status(thm)], [c60,d8])).
% 26.79/14.13 cnf(d10, plain, ~'ilf$utype'(X0,'relation$utype'(X1,X2)) | ~'ilf$utype'(X3,'set$utype') | ~'ilf$utype'(X0,'set$utype') | member(X3,'cross$uproduct'(X1,X2)) | ~member(X3,X0), inference(resolution, [status(thm)], [d9,d0])).
% 26.79/14.13 cnf(d11, plain, ~'ilf$utype'(X0,'set$utype') | ~'ilf$utype'(X0,'relation$utype'(X1,X2)) | ~member(X3,X0) | member(X3,'cross$uproduct'(X1,X2)), inference(resolution, [status(thm)], [c60,d10])).
% 26.79/14.13 cnf(d12, plain, ~'ilf$utype'(sK75,'set$utype') | ~member(X0,sK75) | member(X0,'cross$uproduct'(sK72,sK73)), inference(resolution, [status(thm)], [d11,c64])).
% 26.79/14.13 cnf(d13, plain, member(X0,'cross$uproduct'(sK72,sK73)) | ~member(X0,sK75), inference(resolution, [status(thm)], [c60,d12])).
% 26.79/14.13 cnf(d14, plain, ~'ilf$utype'(X0,'set$utype') | ~'ilf$utype'(X1,'set$utype') | ~'ilf$utype'(X2,'set$utype') | member(X3,X1) | ~member('ordered$upair'(X0,X3),'cross$uproduct'(X2,X1)), inference(resolution, [status(thm)], [c60,c4])).
% 26.79/14.13 cnf(d15, plain, ~'ilf$utype'(X0,'set$utype') | ~'ilf$utype'(X1,'set$utype') | member(X2,X0) | ~member('ordered$upair'(X1,X2),'cross$uproduct'(X3,X0)), inference(resolution, [status(thm)], [c60,d14])).
% 26.79/14.13 cnf(d16, plain, 'ordered$upair'(sK59(X0),sK60(X0)) = X0 | ~member(X0,X1) | ~'relation$ulike'(X1) | ~'Ts56'(X1), inference(resolution, [status(thm)], [c60,c51])).
% 26.79/14.13 cnf(d17, plain, 'Ts56'(X0), inference(resolution, [status(thm)], [c60,c48])).
% 26.79/14.13 cnf(d18, plain, 'ordered$upair'(sK59(X0),sK60(X0)) = X0 | ~member(X0,X1) | ~'relation$ulike'(X1), inference(resolution, [status(thm)], [d17,d16])).
% 26.79/14.13 cnf(d19, plain, 'ordered$upair'(sK59(sK74),sK60(sK74)) = sK74 | ~'relation$ulike'(sK75), inference(resolution, [status(thm)], [c66,d18])).
% 26.79/14.13 cnf(d20, plain, ~'ilf$utype'(X0,'subset$utype'('cross$uproduct'(X1,X2))) | ~'ilf$utype'(X1,'set$utype') | 'relation$ulike'(X0), inference(resolution, [status(thm)], [c60,c55])).
% 26.79/14.13 cnf(d21, plain, ~'ilf$utype'(X0,'set$utype') | 'relation$ulike'(X1) | ~'ilf$utype'(X2,'set$utype') | ~'ilf$utype'(X1,'relation$utype'(X0,X2)), inference(resolution, [status(thm)], [d20,d1])).
% 26.79/14.13 cnf(d22, plain, ~'ilf$utype'(X0,'relation$utype'(X1,X2)) | ~'ilf$utype'(X1,'set$utype') | 'relation$ulike'(X0), inference(resolution, [status(thm)], [c60,d21])).
% 26.79/14.13 cnf(d23, plain, ~'ilf$utype'(sK72,'set$utype') | 'relation$ulike'(sK75), inference(resolution, [status(thm)], [d22,c64])).
% 26.79/14.13 cnf(d24, plain, 'relation$ulike'(sK75), inference(resolution, [status(thm)], [c60,d23])).
% 26.79/14.13 cnf(d25, plain, 'ordered$upair'(sK59(sK74),sK60(sK74)) = sK74, inference(resolution, [status(thm)], [d24,d19])).
% 26.79/14.13 cnf(d26, plain, ~member(sK74,'cross$uproduct'(X0,X1)) | ~'ilf$utype'(sK59(sK74),'set$utype') | ~'ilf$utype'(X1,'set$utype') | member(sK60(sK74),X1), inference(superposition, [status(thm)], [d25,d15])).
% 26.79/14.13 cnf(d27, plain, ~'ilf$utype'(sK59(sK74),'set$utype') | member(sK60(sK74),X0) | ~member(sK74,'cross$uproduct'(X1,X0)), inference(resolution, [status(thm)], [c60,d26])).
% 26.79/14.13 cnf(d28, plain, ~'ilf$utype'(sK59(sK74),'set$utype') | member(sK60(sK74),sK73) | ~member(sK74,sK75), inference(resolution, [status(thm)], [d27,d13])).
% 26.79/14.13 cnf(d29, plain, member(sK60(sK74),sK73) | ~member(sK74,sK75), inference(resolution, [status(thm)], [c60,d28])).
% 26.79/14.13 cnf(d30, plain, member(sK60(sK74),sK73), inference(resolution, [status(thm)], [c66,d29])).
% 26.79/14.13 cnf(d31, plain, 'ordered$upair'(X0,X1) != sK74 | ~'ilf$utype'(X1,'set$utype') | ~member(X0,sK72) | ~member(X1,sK73), inference(resolution, [status(thm)], [c60,c65])).
% 26.79/14.13 cnf(d32, plain, sK74 != sK74 | ~'ilf$utype'(sK60(sK74),'set$utype') | ~member(sK60(sK74),sK73) | ~member(sK59(sK74),sK72), inference(superposition, [status(thm)], [d25,d31])).
% 26.79/14.13 cnf(d33, plain, sK74 != sK74 | ~member(sK59(sK74),sK72) | ~member(sK60(sK74),sK73), inference(resolution, [status(thm)], [c60,d32])).
% 26.79/14.13 cnf(d34, plain, ~member(sK59(sK74),sK72) | ~member(sK60(sK74),sK73), inference(equality_resolution, [status(thm)], [d33])).
% 26.79/14.13 cnf(d35, plain, ~'ilf$utype'(X0,'set$utype') | ~'ilf$utype'(X1,'set$utype') | ~'ilf$utype'(X2,'set$utype') | member(X0,X2) | ~member('ordered$upair'(X0,X3),'cross$uproduct'(X2,X1)), inference(resolution, [status(thm)], [c60,c3])).
% 26.79/14.13 cnf(d36, plain, ~'ilf$utype'(X0,'set$utype') | ~'ilf$utype'(X1,'set$utype') | member(X1,X2) | ~member('ordered$upair'(X1,X3),'cross$uproduct'(X2,X0)), inference(resolution, [status(thm)], [c60,d35])).
% 26.79/14.13 cnf(d37, plain, ~member(sK74,'cross$uproduct'(X0,X1)) | ~'ilf$utype'(sK59(sK74),'set$utype') | ~'ilf$utype'(X1,'set$utype') | member(sK59(sK74),X0), inference(superposition, [status(thm)], [d25,d36])).
% 26.79/14.13 cnf(d38, plain, ~'ilf$utype'(sK59(sK74),'set$utype') | member(sK59(sK74),X0) | ~member(sK74,'cross$uproduct'(X0,X1)), inference(resolution, [status(thm)], [c60,d37])).
% 26.79/14.13 cnf(d39, plain, ~'ilf$utype'(sK59(sK74),'set$utype') | member(sK59(sK74),sK72) | ~member(sK74,sK75), inference(resolution, [status(thm)], [d38,d13])).
% 26.79/14.13 cnf(d40, plain, member(sK59(sK74),sK72) | ~member(sK74,sK75), inference(resolution, [status(thm)], [c60,d39])).
% 26.79/14.13 cnf(d41, plain, member(sK59(sK74),sK72), inference(resolution, [status(thm)], [c66,d40])).
% 26.79/14.13 cnf(d42, plain, ~member(sK60(sK74),sK73), inference(resolution, [status(thm)], [d41,d34])).
% 26.79/14.13 cnf(d43, plain, $false, inference(resolution, [status(thm)], [d42,d30])).
% 26.79/14.13 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------