%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT338+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 07:48:22 AM UTC 2026
% Result : Theorem 69.47s 9.29s
% Output : CNFRefutation 69.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT338+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n019.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 21:02:20 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 69.47/9.29 % SZS status Theorem for theBenchmark.p
% 69.47/9.29 % SZS output start CNFRefutation for theBenchmark.p
% 69.47/9.29 fof(abstractness_v3_lattices, axiom, ! [X0] : (('l3$ulattices'(X0) => ('v3$ulattices'(X0) => X0 = 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)))))).
% 69.47/9.29 fof(d22_lattice3, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & 'l3$ulattices'(X0)) => ! [X1] : 'k16$ulattice3'(X0,X1) = 'k15$ulattice3'(X0,'a$u2$u1$ulattice3'(X0,X1))))).
% 69.47/9.29 fof(d23_conlat_1, axiom, ! [X0] : (((~'v3$uconlat$u1'(X0) & 'l2$uconlat$u1'(X0)) => 'k11$uconlat$u1'(X0) = 'g3$ulattices'('k8$uconlat$u1'(X0),'k10$uconlat$u1'(X0),'k9$uconlat$u1'(X0))))).
% 69.47/9.29 fof(dt_k10_conlat_1, axiom, ! [X0] : (((~'v3$uconlat$u1'(X0) & 'l2$uconlat$u1'(X0)) => ('v1$ufunct$u1'('k10$uconlat$u1'(X0)) & ('v1$ufunct$u2'('k10$uconlat$u1'(X0),'k2$uzfmisc$u1'('k8$uconlat$u1'(X0),'k8$uconlat$u1'(X0)),'k8$uconlat$u1'(X0)) & 'm2$urelset$u1'('k10$uconlat$u1'(X0),'k2$uzfmisc$u1'('k8$uconlat$u1'(X0),'k8$uconlat$u1'(X0)),'k8$uconlat$u1'(X0))))))).
% 69.47/9.29 fof(dt_k11_conlat_1, axiom, ! [X0] : (((~'v3$uconlat$u1'(X0) & 'l2$uconlat$u1'(X0)) => (~'v3$ustruct$u0'('k11$uconlat$u1'(X0)) & ('v3$ulattices'('k11$uconlat$u1'(X0)) & 'l3$ulattices'('k11$uconlat$u1'(X0))))))).
% 69.47/9.29 fof(dt_k15_lattice3, axiom, ! [X0] : ! [X1] : (((~'v3$ustruct$u0'(X0) & 'l3$ulattices'(X0)) => 'm1$usubset$u1'('k15$ulattice3'(X0,X1),'u1$ustruct$u0'(X0))))).
% 69.47/9.29 fof(dt_k16_lattice3, axiom, ! [X0] : ! [X1] : (((~'v3$ustruct$u0'(X0) & 'l3$ulattices'(X0)) => 'm1$usubset$u1'('k16$ulattice3'(X0,X1),'u1$ustruct$u0'(X0))))).
% 69.47/9.29 fof(dt_k7_conlat_1, axiom, ! [X0] : (((~'v3$uconlat$u1'(X0) & 'l2$uconlat$u1'(X0)) => ~'v1$uxboole$u0'('k7$uconlat$u1'(X0))))).
% 69.47/9.29 fof(dt_k9_conlat_1, axiom, ! [X0] : (((~'v3$uconlat$u1'(X0) & 'l2$uconlat$u1'(X0)) => ('v1$ufunct$u1'('k9$uconlat$u1'(X0)) & ('v1$ufunct$u2'('k9$uconlat$u1'(X0),'k2$uzfmisc$u1'('k8$uconlat$u1'(X0),'k8$uconlat$u1'(X0)),'k8$uconlat$u1'(X0)) & 'm2$urelset$u1'('k9$uconlat$u1'(X0),'k2$uzfmisc$u1'('k8$uconlat$u1'(X0),'k8$uconlat$u1'(X0)),'k8$uconlat$u1'(X0))))))).
% 69.47/9.29 fof(fc5_conlat_1, axiom, ! [X0] : (((~'v3$uconlat$u1'(X0) & 'l2$uconlat$u1'(X0)) => (~'v3$ustruct$u0'('k11$uconlat$u1'(X0)) & ('v3$ulattices'('k11$uconlat$u1'(X0)) & ('v4$ulattices'('k11$uconlat$u1'(X0)) & ('v5$ulattices'('k11$uconlat$u1'(X0)) & ('v6$ulattices'('k11$uconlat$u1'(X0)) & ('v7$ulattices'('k11$uconlat$u1'(X0)) & ('v8$ulattices'('k11$uconlat$u1'(X0)) & ('v9$ulattices'('k11$uconlat$u1'(X0)) & ('v10$ulattices'('k11$uconlat$u1'(X0)) & 'v4$ulattice3'('k11$uconlat$u1'(X0)))))))))))))).
% 69.47/9.29 fof(free_g3_lattices, axiom, ! [X0] : ! [X1] : ! [X2] : ((('v1$ufunct$u1'(X1) & ('v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(X0,X0),X0) & ('m1$urelset$u1'(X1,'k2$uzfmisc$u1'(X0,X0),X0) & ('v1$ufunct$u1'(X2) & ('v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X0,X0),X0) & 'm1$urelset$u1'(X2,'k2$uzfmisc$u1'(X0,X0),X0)))))) => ! [X3] : ! [X4] : ! [X5] : (('g3$ulattices'(X0,X1,X2) = 'g3$ulattices'(X3,X4,X5) => (X0 = X3 & (X1 = X4 & X2 = X5))))))).
% 69.47/9.29 fof(redefinition_k8_conlat_1, axiom, ! [X0] : (((~'v3$uconlat$u1'(X0) & 'l2$uconlat$u1'(X0)) => 'k8$uconlat$u1'(X0) = 'k7$uconlat$u1'(X0)))).
% 69.47/9.29 fof(redefinition_m2_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('m2$urelset$u1'(X2,X0,X1) <=> 'm1$urelset$u1'(X2,X0,X1)))).
% 69.47/9.29 fof(t2_subset, axiom, ! [X0] : ! [X1] : (('m1$usubset$u1'(X0,X1) => ('v1$uxboole$u0'(X1) | 'r2$uhidden'(X0,X1))))).
% 69.47/9.29 fof(t35_conlat_1, axiom, ! [X0] : (((~'v3$uconlat$u1'(X0) & 'l2$uconlat$u1'(X0)) => ! [X1] : (('r2$uhidden'(X1,'k8$uconlat$u1'(X0)) <=> ('v6$uconlat$u1'(X1,X0) & (~'v7$uconlat$u1'(X1,X0) & ('v9$uconlat$u1'(X1,X0) & 'l3$uconlat$u1'(X1,X0))))))))).
% 69.47/9.29 fof(t4_conlat_2, conjecture, ! [X0] : (((~'v3$uconlat$u1'(X0) & 'l2$uconlat$u1'(X0)) => ! [X1] : (('m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'('k11$uconlat$u1'(X0)))) => (~'v7$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(X0),X1),X0) & ('v9$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(X0),X1),X0) & ('l3$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(X0),X1),X0) & (~'v7$uconlat$u1'('k15$ulattice3'('k11$uconlat$u1'(X0),X1),X0) & ('v9$uconlat$u1'('k15$ulattice3'('k11$uconlat$u1'(X0),X1),X0) & 'l3$uconlat$u1'('k15$ulattice3'('k11$uconlat$u1'(X0),X1),X0))))))))))).
% 69.47/9.29 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((~'v3$uconlat$u1'(X0) & 'l2$uconlat$u1'(X0)) => ! [X1] : (('m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'('k11$uconlat$u1'(X0)))) => (~'v7$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(X0),X1),X0) & ('v9$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(X0),X1),X0) & ('l3$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(X0),X1),X0) & (~'v7$uconlat$u1'('k15$ulattice3'('k11$uconlat$u1'(X0),X1),X0) & ('v9$uconlat$u1'('k15$ulattice3'('k11$uconlat$u1'(X0),X1),X0) & 'l3$uconlat$u1'('k15$ulattice3'('k11$uconlat$u1'(X0),X1),X0)))))))))), inference(negate_conjecture, [status(cth)], [t4_conlat_2])).
% 69.47/9.29 cnf(c0, plain, ~'l3$ulattices'(X0) | 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)) = X0 | ~'v3$ulattices'(X0), inference(clausification, [status(esa)], [abstractness_v3_lattices])).
% 69.47/9.29 cnf(c29, plain, ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | 'k15$ulattice3'(X0,'a$u2$u1$ulattice3'(X0,X1)) = 'k16$ulattice3'(X0,X1), inference(clausification, [status(esa)], [d22_lattice3])).
% 69.47/9.29 cnf(c30, plain, ~'l2$uconlat$u1'(X0) | 'v3$uconlat$u1'(X0) | 'g3$ulattices'('k8$uconlat$u1'(X0),'k10$uconlat$u1'(X0),'k9$uconlat$u1'(X0)) = 'k11$uconlat$u1'(X0), inference(clausification, [status(esa)], [d23_conlat_1])).
% 69.47/9.29 cnf(c35, plain, ~'l2$uconlat$u1'(X0) | 'v3$uconlat$u1'(X0) | 'v1$ufunct$u1'('k10$uconlat$u1'(X0)), inference(clausification, [status(esa)], [dt_k10_conlat_1])).
% 69.47/9.29 cnf(c36, plain, ~'l2$uconlat$u1'(X0) | 'v3$uconlat$u1'(X0) | 'm2$urelset$u1'('k10$uconlat$u1'(X0),'k2$uzfmisc$u1'('k8$uconlat$u1'(X0),'k8$uconlat$u1'(X0)),'k8$uconlat$u1'(X0)), inference(clausification, [status(esa)], [dt_k10_conlat_1])).
% 69.47/9.29 cnf(c37, plain, ~'l2$uconlat$u1'(X0) | 'v3$uconlat$u1'(X0) | 'v1$ufunct$u2'('k10$uconlat$u1'(X0),'k2$uzfmisc$u1'('k8$uconlat$u1'(X0),'k8$uconlat$u1'(X0)),'k8$uconlat$u1'(X0)), inference(clausification, [status(esa)], [dt_k10_conlat_1])).
% 69.47/9.29 cnf(c39, plain, ~'l2$uconlat$u1'(X0) | 'v3$uconlat$u1'(X0) | 'l3$ulattices'('k11$uconlat$u1'(X0)), inference(clausification, [status(esa)], [dt_k11_conlat_1])).
% 69.47/9.29 cnf(c40, plain, ~'l2$uconlat$u1'(X0) | 'v3$uconlat$u1'(X0) | 'v3$ulattices'('k11$uconlat$u1'(X0)), inference(clausification, [status(esa)], [dt_k11_conlat_1])).
% 69.47/9.29 cnf(c41, plain, ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | 'm1$usubset$u1'('k15$ulattice3'(X0,X1),'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [dt_k15_lattice3])).
% 69.47/9.29 cnf(c42, plain, ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | 'm1$usubset$u1'('k16$ulattice3'(X0,X1),'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [dt_k16_lattice3])).
% 69.47/9.29 cnf(c43, plain, ~'l2$uconlat$u1'(X0) | 'v3$uconlat$u1'(X0) | ~'v1$uxboole$u0'('k7$uconlat$u1'(X0)), inference(clausification, [status(esa)], [dt_k7_conlat_1])).
% 69.47/9.29 cnf(c45, plain, ~'l2$uconlat$u1'(X0) | 'v3$uconlat$u1'(X0) | 'v1$ufunct$u1'('k9$uconlat$u1'(X0)), inference(clausification, [status(esa)], [dt_k9_conlat_1])).
% 69.47/9.29 cnf(c46, plain, ~'l2$uconlat$u1'(X0) | 'v3$uconlat$u1'(X0) | 'm2$urelset$u1'('k9$uconlat$u1'(X0),'k2$uzfmisc$u1'('k8$uconlat$u1'(X0),'k8$uconlat$u1'(X0)),'k8$uconlat$u1'(X0)), inference(clausification, [status(esa)], [dt_k9_conlat_1])).
% 69.47/9.29 cnf(c47, plain, ~'l2$uconlat$u1'(X0) | 'v3$uconlat$u1'(X0) | 'v1$ufunct$u2'('k9$uconlat$u1'(X0),'k2$uzfmisc$u1'('k8$uconlat$u1'(X0),'k8$uconlat$u1'(X0)),'k8$uconlat$u1'(X0)), inference(clausification, [status(esa)], [dt_k9_conlat_1])).
% 69.47/9.29 cnf(c125, plain, ~'l2$uconlat$u1'(X0) | 'v3$uconlat$u1'(X0) | X1(X0), inference(clausification, [status(esa)], [fc5_conlat_1])).
% 69.47/9.29 cnf(c126, plain, ~X0(X1) | ~'v3$ustruct$u0'('k11$uconlat$u1'(X1)), inference(clausification, [status(esa)], [fc5_conlat_1])).
% 69.47/9.29 cnf(c149, plain, ~'m1$urelset$u1'(X0,'k2$uzfmisc$u1'(X1,X1),X1) | ~'v1$ufunct$u1'(X0) | ~'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(X1,X1),X1) | ~'m1$urelset$u1'(X2,'k2$uzfmisc$u1'(X1,X1),X1) | 'g3$ulattices'(X3,X4,X5) != 'g3$ulattices'(X1,X2,X0) | ~'v1$ufunct$u1'(X2) | ~'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X1,X1),X1) | X3 = X1, inference(clausification, [status(esa)], [free_g3_lattices])).
% 69.47/9.29 cnf(c216, plain, ~'l2$uconlat$u1'(X0) | 'v3$uconlat$u1'(X0) | 'k7$uconlat$u1'(X0) = 'k8$uconlat$u1'(X0), inference(clausification, [status(esa)], [redefinition_k8_conlat_1])).
% 69.47/9.29 cnf(c217, plain, ~'m2$urelset$u1'(X0,X1,X2) | 'm1$urelset$u1'(X0,X1,X2), inference(clausification, [status(esa)], [redefinition_m2_relset_1])).
% 69.47/9.29 cnf(c221, plain, ~'m1$usubset$u1'(X0,X1) | 'r2$uhidden'(X0,X1) | 'v1$uxboole$u0'(X1), inference(clausification, [status(esa)], [t2_subset])).
% 69.47/9.29 cnf(c226, plain, ~'l2$uconlat$u1'(X0) | 'v3$uconlat$u1'(X0) | X1(X0), inference(clausification, [status(esa)], [t35_conlat_1])).
% 69.47/9.29 cnf(c228, plain, ~X0(X1) | ~'r2$uhidden'(X2,'k8$uconlat$u1'(X1)) | 'v9$uconlat$u1'(X2,X1), inference(clausification, [status(esa)], [t35_conlat_1])).
% 69.47/9.29 cnf(c229, plain, ~X0(X1) | ~'r2$uhidden'(X2,'k8$uconlat$u1'(X1)) | 'l3$uconlat$u1'(X2,X1), inference(clausification, [status(esa)], [t35_conlat_1])).
% 69.47/9.29 cnf(c230, plain, ~X0(X1) | ~'r2$uhidden'(X2,'k8$uconlat$u1'(X1)) | ~'v7$uconlat$u1'(X2,X1), inference(clausification, [status(esa)], [t35_conlat_1])).
% 69.47/9.29 cnf(c239, plain, 'l2$uconlat$u1'(sK178), inference(clausification, [status(esa)], [negated_conjecture])).
% 69.47/9.29 cnf(c240, plain, ~'v3$uconlat$u1'(sK178), inference(clausification, [status(esa)], [negated_conjecture])).
% 69.47/9.29 cnf(c242, plain, ~'v9$uconlat$u1'('k15$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178) | 'v7$uconlat$u1'('k15$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178) | ~'l3$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178) | ~'v9$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178) | 'v7$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178) | ~'l3$uconlat$u1'('k15$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178), inference(clausification, [status(esa)], [negated_conjecture])).
% 69.47/9.29 cnf(d0, plain, 'g3$ulattices'('k8$uconlat$u1'(sK178),'k10$uconlat$u1'(sK178),'k9$uconlat$u1'(sK178)) = 'k11$uconlat$u1'(sK178) | 'v3$uconlat$u1'(sK178), inference(resolution, [status(thm)], [c30,c239])).
% 69.47/9.29 cnf(d1, plain, 'g3$ulattices'('k8$uconlat$u1'(sK178),'k10$uconlat$u1'(sK178),'k9$uconlat$u1'(sK178)) = 'k11$uconlat$u1'(sK178), inference(resolution, [status(thm)], [c240,d0])).
% 69.47/9.29 cnf(d2, plain, 'g3$ulattices'(X0,X1,X2) != 'k11$uconlat$u1'(sK178) | X0 = 'k8$uconlat$u1'(sK178) | ~'v1$ufunct$u1'('k9$uconlat$u1'(sK178)) | ~'v1$ufunct$u1'('k10$uconlat$u1'(sK178)) | ~'m1$urelset$u1'('k9$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)) | ~'m1$urelset$u1'('k10$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)) | ~'v1$ufunct$u2'('k9$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)) | ~'v1$ufunct$u2'('k10$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)), inference(superposition, [status(thm)], [d1,c149])).
% 69.47/9.29 cnf(d3, plain, 'v1$ufunct$u1'('k10$uconlat$u1'(sK178)) | 'v3$uconlat$u1'(sK178), inference(resolution, [status(thm)], [c35,c239])).
% 69.47/9.29 cnf(d4, plain, 'v1$ufunct$u1'('k10$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [c240,d3])).
% 69.47/9.29 cnf(d5, plain, X0 = 'k8$uconlat$u1'(sK178) | 'g3$ulattices'(X0,X1,X2) != 'k11$uconlat$u1'(sK178) | ~'v1$ufunct$u1'('k9$uconlat$u1'(sK178)) | ~'m1$urelset$u1'('k10$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)) | ~'m1$urelset$u1'('k9$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)) | ~'v1$ufunct$u2'('k10$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)) | ~'v1$ufunct$u2'('k9$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [d4,d2])).
% 69.47/9.29 cnf(d6, plain, 'v1$ufunct$u1'('k9$uconlat$u1'(sK178)) | 'v3$uconlat$u1'(sK178), inference(resolution, [status(thm)], [c45,c239])).
% 69.47/9.29 cnf(d7, plain, 'v1$ufunct$u1'('k9$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [c240,d6])).
% 69.47/9.29 cnf(d8, plain, X0 = 'k8$uconlat$u1'(sK178) | 'g3$ulattices'(X0,X1,X2) != 'k11$uconlat$u1'(sK178) | ~'m1$urelset$u1'('k10$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)) | ~'m1$urelset$u1'('k9$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)) | ~'v1$ufunct$u2'('k10$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)) | ~'v1$ufunct$u2'('k9$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [d7,d5])).
% 69.47/9.29 cnf(d9, plain, 'v1$ufunct$u2'('k10$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)) | 'v3$uconlat$u1'(sK178), inference(resolution, [status(thm)], [c37,c239])).
% 69.47/9.29 cnf(d10, plain, 'v1$ufunct$u2'('k10$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [c240,d9])).
% 69.47/9.29 cnf(d11, plain, X0 = 'k8$uconlat$u1'(sK178) | 'g3$ulattices'(X0,X1,X2) != 'k11$uconlat$u1'(sK178) | ~'m1$urelset$u1'('k10$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)) | ~'m1$urelset$u1'('k9$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)) | ~'v1$ufunct$u2'('k9$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [d10,d8])).
% 69.47/9.29 cnf(d12, plain, 'v3$uconlat$u1'(sK178) | 'm2$urelset$u1'('k10$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [c36,c239])).
% 69.47/9.29 cnf(d13, plain, 'm2$urelset$u1'('k10$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [c240,d12])).
% 69.47/9.29 cnf(d14, plain, 'm1$urelset$u1'('k10$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [d13,c217])).
% 69.47/9.29 cnf(d15, plain, X0 = 'k8$uconlat$u1'(sK178) | 'g3$ulattices'(X0,X1,X2) != 'k11$uconlat$u1'(sK178) | ~'m1$urelset$u1'('k9$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)) | ~'v1$ufunct$u2'('k9$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [d14,d11])).
% 69.47/9.29 cnf(d16, plain, 'v1$ufunct$u2'('k9$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)) | 'v3$uconlat$u1'(sK178), inference(resolution, [status(thm)], [c47,c239])).
% 69.47/9.29 cnf(d17, plain, 'v1$ufunct$u2'('k9$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [c240,d16])).
% 69.47/9.29 cnf(d18, plain, X0 = 'k8$uconlat$u1'(sK178) | 'g3$ulattices'(X0,X1,X2) != 'k11$uconlat$u1'(sK178) | ~'m1$urelset$u1'('k9$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [d17,d15])).
% 69.47/9.29 cnf(d19, plain, 'v3$uconlat$u1'(sK178) | 'm2$urelset$u1'('k9$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [c46,c239])).
% 69.47/9.29 cnf(d20, plain, 'm2$urelset$u1'('k9$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [c240,d19])).
% 69.47/9.29 cnf(d21, plain, 'm1$urelset$u1'('k9$uconlat$u1'(sK178),'k2$uzfmisc$u1'('k8$uconlat$u1'(sK178),'k8$uconlat$u1'(sK178)),'k8$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [d20,c217])).
% 69.47/9.29 cnf(d22, plain, X0 = 'k8$uconlat$u1'(sK178) | 'g3$ulattices'(X0,X1,X2) != 'k11$uconlat$u1'(sK178), inference(resolution, [status(thm)], [d21,d18])).
% 69.47/9.29 cnf(d23, plain, 'v3$ulattices'('k11$uconlat$u1'(sK178)) | 'v3$uconlat$u1'(sK178), inference(resolution, [status(thm)], [c40,c239])).
% 69.47/9.29 cnf(d24, plain, 'v3$ulattices'('k11$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [c240,d23])).
% 69.47/9.29 cnf(d25, plain, 'g3$ulattices'('u1$ustruct$u0'('k11$uconlat$u1'(sK178)),'u2$ulattices'('k11$uconlat$u1'(sK178)),'u1$ulattices'('k11$uconlat$u1'(sK178))) = 'k11$uconlat$u1'(sK178) | ~'l3$ulattices'('k11$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [d24,c0])).
% 69.47/9.29 cnf(d26, plain, 'l3$ulattices'('k11$uconlat$u1'(sK178)) | 'v3$uconlat$u1'(sK178), inference(resolution, [status(thm)], [c39,c239])).
% 69.47/9.29 cnf(d27, plain, 'l3$ulattices'('k11$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [c240,d26])).
% 69.47/9.29 cnf(d28, plain, 'g3$ulattices'('u1$ustruct$u0'('k11$uconlat$u1'(sK178)),'u2$ulattices'('k11$uconlat$u1'(sK178)),'u1$ulattices'('k11$uconlat$u1'(sK178))) = 'k11$uconlat$u1'(sK178), inference(resolution, [status(thm)], [d27,d25])).
% 69.47/9.29 cnf(d29, plain, 'k11$uconlat$u1'(sK178) != 'k11$uconlat$u1'(sK178) | 'u1$ustruct$u0'('k11$uconlat$u1'(sK178)) = 'k8$uconlat$u1'(sK178), inference(superposition, [status(thm)], [d28,d22])).
% 69.47/9.29 cnf(d30, plain, 'u1$ustruct$u0'('k11$uconlat$u1'(sK178)) = 'k8$uconlat$u1'(sK178), inference(equality_resolution, [status(thm)], [d29])).
% 69.47/9.29 cnf(d31, plain, 'v3$ustruct$u0'('k11$uconlat$u1'(sK178)) | 'm1$usubset$u1'('k15$ulattice3'('k11$uconlat$u1'(sK178),X0),'u1$ustruct$u0'('k11$uconlat$u1'(sK178))), inference(resolution, [status(thm)], [c41,d27])).
% 69.47/9.29 cnf(d32, plain, 'm1$usubset$u1'('k15$ulattice3'('k11$uconlat$u1'(sK178),X0),'u1$ustruct$u0'('k11$uconlat$u1'(sK178))) | ~'Ts95'(sK178), inference(resolution, [status(thm)], [d31,c126])).
% 69.47/9.29 cnf(d33, plain, 'v3$uconlat$u1'(sK178) | 'Ts95'(sK178), inference(resolution, [status(thm)], [c125,c239])).
% 69.47/9.29 cnf(d34, plain, 'Ts95'(sK178), inference(resolution, [status(thm)], [c240,d33])).
% 69.47/9.29 cnf(d35, plain, 'm1$usubset$u1'('k15$ulattice3'('k11$uconlat$u1'(sK178),X0),'u1$ustruct$u0'('k11$uconlat$u1'(sK178))), inference(resolution, [status(thm)], [d34,d32])).
% 69.47/9.29 cnf(d36, plain, 'r2$uhidden'('k15$ulattice3'('k11$uconlat$u1'(sK178),X0),'u1$ustruct$u0'('k11$uconlat$u1'(sK178))) | 'v1$uxboole$u0'('u1$ustruct$u0'('k11$uconlat$u1'(sK178))), inference(resolution, [status(thm)], [d35,c221])).
% 69.47/9.29 cnf(d37, plain, 'r2$uhidden'('k15$ulattice3'('k11$uconlat$u1'(sK178),X0),'k8$uconlat$u1'(sK178)) | 'v1$uxboole$u0'('u1$ustruct$u0'('k11$uconlat$u1'(sK178))), inference(demodulation, [status(thm)], [d36,d30])).
% 69.47/9.29 cnf(d38, plain, 'r2$uhidden'('k15$ulattice3'('k11$uconlat$u1'(sK178),X0),'k8$uconlat$u1'(sK178)) | 'v1$uxboole$u0'('k8$uconlat$u1'(sK178)), inference(demodulation, [status(thm)], [d37,d30])).
% 69.47/9.29 cnf(d39, plain, 'k7$uconlat$u1'(sK178) = 'k8$uconlat$u1'(sK178) | 'v3$uconlat$u1'(sK178), inference(resolution, [status(thm)], [c216,c239])).
% 69.47/9.29 cnf(d40, plain, 'k7$uconlat$u1'(sK178) = 'k8$uconlat$u1'(sK178), inference(resolution, [status(thm)], [c240,d39])).
% 69.47/9.29 cnf(d41, plain, ~'v1$uxboole$u0'('k8$uconlat$u1'(sK178)) | 'v3$uconlat$u1'(sK178) | ~'l2$uconlat$u1'(sK178), inference(superposition, [status(thm)], [d40,c43])).
% 69.47/9.29 cnf(d42, plain, 'v3$uconlat$u1'(sK178) | ~'v1$uxboole$u0'('k8$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [c239,d41])).
% 69.47/9.29 cnf(d43, plain, ~'v1$uxboole$u0'('k8$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [c240,d42])).
% 69.47/9.29 cnf(d44, plain, 'r2$uhidden'('k15$ulattice3'('k11$uconlat$u1'(sK178),X0),'k8$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [d43,d38])).
% 69.47/9.29 cnf(d45, plain, ~'v7$uconlat$u1'('k15$ulattice3'('k11$uconlat$u1'(sK178),X0),sK178) | ~'Ts162'(sK178), inference(resolution, [status(thm)], [d44,c230])).
% 69.47/9.29 cnf(d46, plain, 'v3$uconlat$u1'(sK178) | 'Ts162'(sK178), inference(resolution, [status(thm)], [c226,c239])).
% 69.47/9.29 cnf(d47, plain, 'Ts162'(sK178), inference(resolution, [status(thm)], [c240,d46])).
% 69.47/9.29 cnf(d48, plain, ~'v7$uconlat$u1'('k15$ulattice3'('k11$uconlat$u1'(sK178),X0),sK178), inference(resolution, [status(thm)], [d47,d45])).
% 69.47/9.29 cnf(d49, plain, ~'l3$uconlat$u1'('k15$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178) | ~'l3$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178) | 'v7$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178) | ~'v9$uconlat$u1'('k15$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178) | ~'v9$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178), inference(resolution, [status(thm)], [d48,c242])).
% 69.47/9.29 cnf(d50, plain, 'v9$uconlat$u1'('k15$ulattice3'('k11$uconlat$u1'(sK178),X0),sK178) | ~'Ts162'(sK178), inference(resolution, [status(thm)], [d44,c228])).
% 69.47/9.29 cnf(d51, plain, 'v9$uconlat$u1'('k15$ulattice3'('k11$uconlat$u1'(sK178),X0),sK178), inference(resolution, [status(thm)], [d47,d50])).
% 69.47/9.29 cnf(d52, plain, ~'l3$uconlat$u1'('k15$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178) | ~'l3$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178) | 'v7$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178) | ~'v9$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178), inference(resolution, [status(thm)], [d51,d49])).
% 69.47/9.29 cnf(d53, plain, 'l3$uconlat$u1'('k15$ulattice3'('k11$uconlat$u1'(sK178),X0),sK178) | ~'Ts162'(sK178), inference(resolution, [status(thm)], [d44,c229])).
% 69.47/9.29 cnf(d54, plain, 'l3$uconlat$u1'('k15$ulattice3'('k11$uconlat$u1'(sK178),X0),sK178), inference(resolution, [status(thm)], [d47,d53])).
% 69.47/9.29 cnf(d55, plain, ~'l3$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178) | 'v7$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178) | ~'v9$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178), inference(resolution, [status(thm)], [d54,d52])).
% 69.47/9.29 cnf(d56, plain, 'k15$ulattice3'('k11$uconlat$u1'(sK178),'a$u2$u1$ulattice3'('k11$uconlat$u1'(sK178),X0)) = 'k16$ulattice3'('k11$uconlat$u1'(sK178),X0) | 'v3$ustruct$u0'('k11$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [d27,c29])).
% 69.47/9.29 cnf(d57, plain, 'v9$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),X0),sK178) | 'v3$ustruct$u0'('k11$uconlat$u1'(sK178)), inference(superposition, [status(thm)], [d56,d51])).
% 69.47/9.29 cnf(d58, plain, 'v9$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),X0),sK178) | ~'Ts95'(sK178), inference(resolution, [status(thm)], [d57,c126])).
% 69.47/9.29 cnf(d59, plain, 'v9$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),X0),sK178), inference(resolution, [status(thm)], [d34,d58])).
% 69.47/9.29 cnf(d60, plain, ~'l3$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178) | 'v7$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178), inference(resolution, [status(thm)], [d59,d55])).
% 69.47/9.29 cnf(d61, plain, 'v3$ustruct$u0'('k11$uconlat$u1'(sK178)) | 'm1$usubset$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),X0),'u1$ustruct$u0'('k11$uconlat$u1'(sK178))), inference(resolution, [status(thm)], [c42,d27])).
% 69.47/9.29 cnf(d62, plain, 'm1$usubset$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),X0),'u1$ustruct$u0'('k11$uconlat$u1'(sK178))) | ~'Ts95'(sK178), inference(resolution, [status(thm)], [d61,c126])).
% 69.47/9.29 cnf(d63, plain, 'm1$usubset$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),X0),'u1$ustruct$u0'('k11$uconlat$u1'(sK178))), inference(resolution, [status(thm)], [d34,d62])).
% 69.47/9.29 cnf(d64, plain, 'r2$uhidden'('k16$ulattice3'('k11$uconlat$u1'(sK178),X0),'u1$ustruct$u0'('k11$uconlat$u1'(sK178))) | 'v1$uxboole$u0'('u1$ustruct$u0'('k11$uconlat$u1'(sK178))), inference(resolution, [status(thm)], [d63,c221])).
% 69.47/9.29 cnf(d65, plain, 'r2$uhidden'('k16$ulattice3'('k11$uconlat$u1'(sK178),X0),'k8$uconlat$u1'(sK178)) | 'v1$uxboole$u0'('u1$ustruct$u0'('k11$uconlat$u1'(sK178))), inference(demodulation, [status(thm)], [d64,d30])).
% 69.47/9.29 cnf(d66, plain, 'r2$uhidden'('k16$ulattice3'('k11$uconlat$u1'(sK178),X0),'k8$uconlat$u1'(sK178)) | 'v1$uxboole$u0'('k8$uconlat$u1'(sK178)), inference(demodulation, [status(thm)], [d65,d30])).
% 69.47/9.29 cnf(d67, plain, 'r2$uhidden'('k16$ulattice3'('k11$uconlat$u1'(sK178),X0),'k8$uconlat$u1'(sK178)), inference(resolution, [status(thm)], [d43,d66])).
% 69.47/9.29 cnf(d68, plain, ~'v7$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),X0),sK178) | ~'Ts162'(sK178), inference(resolution, [status(thm)], [d67,c230])).
% 69.47/9.29 cnf(d69, plain, ~'v7$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),X0),sK178), inference(resolution, [status(thm)], [d47,d68])).
% 69.47/9.29 cnf(d70, plain, ~'l3$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),sK179),sK178), inference(resolution, [status(thm)], [d69,d60])).
% 69.47/9.29 cnf(d71, plain, 'l3$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),X0),sK178) | ~'Ts162'(sK178), inference(resolution, [status(thm)], [d67,c229])).
% 69.47/9.29 cnf(d72, plain, 'l3$uconlat$u1'('k16$ulattice3'('k11$uconlat$u1'(sK178),X0),sK178), inference(resolution, [status(thm)], [d47,d71])).
% 69.47/9.29 cnf(d73, plain, $false, inference(resolution, [status(thm)], [d72,d70])).
% 69.47/9.29 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------