%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT324+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 : n017.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 07:48:18 AM UTC 2026
% Result : Theorem 129.22s 19.33s
% Output : CNFRefutation 129.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT324+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
% 0.11/0.56 % Computer : n017.cluster.edu
% 0.11/0.56 % Model : x86_64 x86_64
% 0.11/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.56 % Memory : 8046.5625MB
% 0.11/0.56 % OS : Linux 6.8.0-71-generic
% 0.11/0.56 % CPULimit : 300
% 0.11/0.56 % WCLimit : 300
% 0.11/0.56 % DateTime : Fri Sep 25 20:48:04 UTC 2026
% 0.11/0.56 % CPUTime :
% 0.11/0.56 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 129.22/19.33 % SZS status Theorem for theBenchmark.p
% 129.22/19.33 % SZS output start CNFRefutation for theBenchmark.p
% 129.22/19.33 fof(d4_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => 'k5$ufilter$u2'(X0,X1) = X1))))).
% 129.22/19.33 fof(d6_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) => 'k7$ufilter$u2'(X0,X1) = X1))))).
% 129.22/19.33 fof(d7_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'('k1$ulattice2'(X0)))) => 'k8$ufilter$u2'(X0,X1) = X1))))).
% 129.22/19.33 fof(dt_k14_filter_2, axiom, ! [X0] : ! [X1] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('l3$ulattices'(X0) & 'm1$ufilter$u0'(X1,'k1$ulattice2'(X0))))) => 'm2$ufilter$u2'('k14$ufilter$u2'(X0,X1),X0)))).
% 129.22/19.33 fof(dt_k1_lattice2, axiom, ! [X0] : (('l3$ulattices'(X0) => ('v3$ulattices'('k1$ulattice2'(X0)) & 'l3$ulattices'('k1$ulattice2'(X0)))))).
% 129.22/19.33 fof(dt_k5_filter_2, axiom, ! [X0] : ! [X1] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('l3$ulattices'(X0) & 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))))) => 'm1$usubset$u1'('k5$ufilter$u2'(X0,X1),'u1$ustruct$u0'('k1$ulattice2'(X0)))))).
% 129.22/19.33 fof(dt_m1_filter_0, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$ufilter$u0'(X1,X0) => (~'v1$uxboole$u0'(X1) & 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))))))))).
% 129.22/19.33 fof(dt_m2_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m2$ufilter$u2'(X1,X0) => (~'v1$uxboole$u0'(X1) & 'm2$ulattice4'(X1,X0))))))).
% 129.22/19.33 fof(dt_m2_lattice4, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m2$ulattice4'(X1,X0) => 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))))))).
% 129.22/19.33 fof(fc4_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('v17$ulattices'(X0) & 'l3$ulattices'(X0)))) => (~'v3$ustruct$u0'('k1$ulattice2'(X0)) & ('v3$ulattices'('k1$ulattice2'(X0)) & ('v4$ulattices'('k1$ulattice2'(X0)) & ('v5$ulattices'('k1$ulattice2'(X0)) & ('v6$ulattices'('k1$ulattice2'(X0)) & ('v7$ulattices'('k1$ulattice2'(X0)) & ('v8$ulattices'('k1$ulattice2'(X0)) & ('v9$ulattices'('k1$ulattice2'(X0)) & ('v10$ulattices'('k1$ulattice2'(X0)) & ('v11$ulattices'('k1$ulattice2'(X0)) & ('v12$ulattices'('k1$ulattice2'(X0)) & ('v13$ulattices'('k1$ulattice2'(X0)) & ('v14$ulattices'('k1$ulattice2'(X0)) & ('v15$ulattices'('k1$ulattice2'(X0)) & ('v16$ulattices'('k1$ulattice2'(X0)) & 'v17$ulattices'('k1$ulattice2'(X0)))))))))))))))))))).
% 129.22/19.33 fof(redefinition_k14_filter_2, axiom, ! [X0] : ! [X1] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('l3$ulattices'(X0) & 'm1$ufilter$u0'(X1,'k1$ulattice2'(X0))))) => 'k14$ufilter$u2'(X0,X1) = 'k8$ufilter$u2'(X0,X1)))).
% 129.22/19.33 fof(redefinition_k15_filter_2, axiom, ! [X0] : ! [X1] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('l3$ulattices'(X0) & 'm2$ufilter$u2'(X1,X0)))) => 'k15$ufilter$u2'(X0,X1) = 'k7$ufilter$u2'(X0,X1)))).
% 129.22/19.33 fof(t33_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m2$ufilter$u2'(X1,X0) => ('r2$ufilter$u2'(X0,X1) <=> 'v1$ufilter$u0'('k15$ufilter$u2'(X0,X1),'k1$ulattice2'(X0)))))))).
% 129.22/19.33 fof(t60_filter_0, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('v17$ulattices'(X0) & 'l3$ulattices'(X0)))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => ~((X1 != X2 & ! [X3] : (('m1$ufilter$u0'(X3,X0) => ~(('v1$ufilter$u0'(X3,X0) & (('r2$uhidden'(X1,X3) & ~'r2$uhidden'(X2,X3)) | (~'r2$uhidden'(X1,X3) & 'r2$uhidden'(X2,X3)))))))))))))))).
% 129.22/19.33 fof(t60_filter_2, conjecture, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('v17$ulattices'(X0) & 'l3$ulattices'(X0)))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => ~((X1 != X2 & ! [X3] : (('m2$ufilter$u2'(X3,X0) => ~(('r2$ufilter$u2'(X0,X3) & (('r2$uhidden'(X1,X3) & ~'r2$uhidden'(X2,X3)) | (~'r2$uhidden'(X1,X3) & 'r2$uhidden'(X2,X3)))))))))))))))).
% 129.22/19.33 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('v17$ulattices'(X0) & 'l3$ulattices'(X0)))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => ~((X1 != X2 & ! [X3] : (('m2$ufilter$u2'(X3,X0) => ~(('r2$ufilter$u2'(X0,X3) & (('r2$uhidden'(X1,X3) & ~'r2$uhidden'(X2,X3)) | (~'r2$uhidden'(X1,X3) & 'r2$uhidden'(X2,X3))))))))))))))), inference(negate_conjecture, [status(cth)], [t60_filter_2])).
% 129.22/19.33 cnf(c42, plain, ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | 'k5$ufilter$u2'(X0,X1) = X1 | ~'l3$ulattices'(X0), inference(clausification, [status(esa)], [d4_filter_2])).
% 129.22/19.33 cnf(c43, plain, ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'l3$ulattices'(X0) | 'k7$ufilter$u2'(X0,X1) = X1 | ~'m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))), inference(clausification, [status(esa)], [d6_filter_2])).
% 129.22/19.33 cnf(c44, plain, ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'('k1$ulattice2'(X1)))) | 'k8$ufilter$u2'(X1,X0) = X0 | ~'l3$ulattices'(X1) | ~'v10$ulattices'(X1) | 'v3$ustruct$u0'(X1), inference(clausification, [status(esa)], [d7_filter_2])).
% 129.22/19.33 cnf(c47, plain, ~'m1$ufilter$u0'(X0,'k1$ulattice2'(X1)) | ~'l3$ulattices'(X1) | 'v3$ustruct$u0'(X1) | ~'v10$ulattices'(X1) | 'm2$ufilter$u2'('k14$ufilter$u2'(X1,X0),X1), inference(clausification, [status(esa)], [dt_k14_filter_2])).
% 129.22/19.33 cnf(c50, plain, ~'l3$ulattices'(X0) | 'l3$ulattices'('k1$ulattice2'(X0)), inference(clausification, [status(esa)], [dt_k1_lattice2])).
% 129.22/19.33 cnf(c51, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) | ~'v10$ulattices'(X1) | ~'l3$ulattices'(X1) | 'm1$usubset$u1'('k5$ufilter$u2'(X1,X0),'u1$ustruct$u0'('k1$ulattice2'(X1))) | 'v3$ustruct$u0'(X1), inference(clausification, [status(esa)], [dt_k5_filter_2])).
% 129.22/19.33 cnf(c59, plain, ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'l3$ulattices'(X0) | ~'m1$ufilter$u0'(X1,X0) | 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))), inference(clausification, [status(esa)], [dt_m1_filter_0])).
% 129.22/19.33 cnf(c63, plain, ~'l3$ulattices'(X0) | 'm2$ulattice4'(X1,X0) | ~'m2$ufilter$u2'(X1,X0) | 'v3$ustruct$u0'(X0) | ~'v10$ulattices'(X0), inference(clausification, [status(esa)], [dt_m2_filter_2])).
% 129.22/19.33 cnf(c64, plain, ~'m2$ulattice4'(X0,X1) | ~'l3$ulattices'(X1) | 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1))) | ~'v10$ulattices'(X1) | 'v3$ustruct$u0'(X1), inference(clausification, [status(esa)], [dt_m2_lattice4])).
% 129.22/19.33 cnf(c104, plain, X0(X1) | ~'v10$ulattices'(X1) | ~'v17$ulattices'(X1) | ~'l3$ulattices'(X1) | 'v3$ustruct$u0'(X1), inference(clausification, [status(esa)], [fc4_filter_2])).
% 129.22/19.33 cnf(c105, plain, ~X0(X1) | ~'v3$ustruct$u0'('k1$ulattice2'(X1)), inference(clausification, [status(esa)], [fc4_filter_2])).
% 129.22/19.33 cnf(c109, plain, ~X0(X1) | 'v10$ulattices'('k1$ulattice2'(X1)), inference(clausification, [status(esa)], [fc4_filter_2])).
% 129.22/19.33 cnf(c113, plain, ~X0(X1) | 'v17$ulattices'('k1$ulattice2'(X1)), inference(clausification, [status(esa)], [fc4_filter_2])).
% 129.22/19.33 cnf(c239, plain, ~'v10$ulattices'(X0) | ~'m1$ufilter$u0'(X1,'k1$ulattice2'(X0)) | 'v3$ustruct$u0'(X0) | ~'l3$ulattices'(X0) | 'k8$ufilter$u2'(X0,X1) = 'k14$ufilter$u2'(X0,X1), inference(clausification, [status(esa)], [redefinition_k14_filter_2])).
% 129.22/19.33 cnf(c240, plain, ~'m2$ufilter$u2'(X0,X1) | 'v3$ustruct$u0'(X1) | ~'v10$ulattices'(X1) | ~'l3$ulattices'(X1) | 'k7$ufilter$u2'(X1,X0) = 'k15$ufilter$u2'(X1,X0), inference(clausification, [status(esa)], [redefinition_k15_filter_2])).
% 129.22/19.33 cnf(c249, plain, 'r2$ufilter$u2'(X0,X1) | 'v3$ustruct$u0'(X0) | ~'l3$ulattices'(X0) | ~'v1$ufilter$u0'('k15$ufilter$u2'(X0,X1),'k1$ulattice2'(X0)) | ~'v10$ulattices'(X0) | ~'m2$ufilter$u2'(X1,X0), inference(clausification, [status(esa)], [t33_filter_2])).
% 129.22/19.33 cnf(c254, plain, 'v3$ustruct$u0'(X0) | ~'v10$ulattices'(X0) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) | ~'l3$ulattices'(X0) | X1 = X2 | X3(X0,X2,X1) | ~'v17$ulattices'(X0), inference(clausification, [status(esa)], [t60_filter_0])).
% 129.22/19.33 cnf(c255, plain, ~X0(X1,X2,X3) | 'm1$ufilter$u0'(sK155(X1,X2,X3),X1), inference(clausification, [status(esa)], [t60_filter_0])).
% 129.22/19.33 cnf(c257, plain, ~X0(X1,X2,X3) | 'r2$uhidden'(X2,sK155(X1,X2,X3)) | 'r2$uhidden'(X3,sK155(X1,X2,X3)), inference(clausification, [status(esa)], [t60_filter_0])).
% 129.22/19.33 cnf(c258, plain, ~X0(X1,X2,X3) | ~'r2$uhidden'(X3,sK155(X1,X2,X3)) | ~'r2$uhidden'(X2,sK155(X1,X2,X3)), inference(clausification, [status(esa)], [t60_filter_0])).
% 129.22/19.33 cnf(c260, plain, ~X0(X1,X2,X3) | 'v1$ufilter$u0'(sK155(X1,X2,X3),X1), inference(clausification, [status(esa)], [t60_filter_0])).
% 129.22/19.33 cnf(c264, plain, 'v10$ulattices'(sK161), inference(clausification, [status(esa)], [negated_conjecture])).
% 129.22/19.33 cnf(c265, plain, 'l3$ulattices'(sK161), inference(clausification, [status(esa)], [negated_conjecture])).
% 129.22/19.33 cnf(c266, plain, 'v17$ulattices'(sK161), inference(clausification, [status(esa)], [negated_conjecture])).
% 129.22/19.33 cnf(c267, plain, ~'v3$ustruct$u0'(sK161), inference(clausification, [status(esa)], [negated_conjecture])).
% 129.22/19.33 cnf(c268, plain, 'm1$usubset$u1'(sK162,'u1$ustruct$u0'(sK161)), inference(clausification, [status(esa)], [negated_conjecture])).
% 129.22/19.33 cnf(c269, plain, 'm1$usubset$u1'(sK163,'u1$ustruct$u0'(sK161)), inference(clausification, [status(esa)], [negated_conjecture])).
% 129.22/19.33 cnf(c270, plain, ~'m2$ufilter$u2'(X0,sK161) | ~'r2$uhidden'(sK162,X0) | 'r2$uhidden'(sK163,X0) | ~'r2$ufilter$u2'(sK161,X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 129.22/19.33 cnf(c271, plain, ~'m2$ufilter$u2'(X0,sK161) | 'r2$uhidden'(sK162,X0) | ~'r2$uhidden'(sK163,X0) | ~'r2$ufilter$u2'(sK161,X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 129.22/19.33 cnf(c272, plain, sK163 != sK162, inference(clausification, [status(esa)], [negated_conjecture])).
% 129.22/19.33 cnf(d0, plain, 'k5$ufilter$u2'(sK161,sK162) = sK162 | ~'l3$ulattices'(sK161) | ~'v10$ulattices'(sK161) | 'v3$ustruct$u0'(sK161), inference(resolution, [status(thm)], [c42,c268])).
% 129.22/19.33 cnf(d1, plain, 'k5$ufilter$u2'(sK161,sK162) = sK162 | ~'l3$ulattices'(sK161) | 'v3$ustruct$u0'(sK161), inference(resolution, [status(thm)], [c264,d0])).
% 129.22/19.33 cnf(d2, plain, 'k5$ufilter$u2'(sK161,sK162) = sK162 | 'v3$ustruct$u0'(sK161), inference(resolution, [status(thm)], [c265,d1])).
% 129.22/19.33 cnf(d3, plain, 'k5$ufilter$u2'(sK161,sK162) = sK162, inference(resolution, [status(thm)], [c267,d2])).
% 129.22/19.33 cnf(d4, plain, 'm1$usubset$u1'(sK162,'u1$ustruct$u0'('k1$ulattice2'(sK161))) | ~'l3$ulattices'(sK161) | ~'v10$ulattices'(sK161) | 'v3$ustruct$u0'(sK161) | ~'m1$usubset$u1'(sK162,'u1$ustruct$u0'(sK161)), inference(superposition, [status(thm)], [d3,c51])).
% 129.22/19.33 cnf(d5, plain, ~'l3$ulattices'(sK161) | 'v3$ustruct$u0'(sK161) | 'm1$usubset$u1'(sK162,'u1$ustruct$u0'('k1$ulattice2'(sK161))) | ~'m1$usubset$u1'(sK162,'u1$ustruct$u0'(sK161)), inference(resolution, [status(thm)], [c264,d4])).
% 129.22/19.33 cnf(d6, plain, 'v3$ustruct$u0'(sK161) | 'm1$usubset$u1'(sK162,'u1$ustruct$u0'('k1$ulattice2'(sK161))) | ~'m1$usubset$u1'(sK162,'u1$ustruct$u0'(sK161)), inference(resolution, [status(thm)], [c265,d5])).
% 129.22/19.33 cnf(d7, plain, 'm1$usubset$u1'(sK162,'u1$ustruct$u0'('k1$ulattice2'(sK161))) | ~'m1$usubset$u1'(sK162,'u1$ustruct$u0'(sK161)), inference(resolution, [status(thm)], [c267,d6])).
% 129.22/19.33 cnf(d8, plain, 'm1$usubset$u1'(sK162,'u1$ustruct$u0'('k1$ulattice2'(sK161))), inference(resolution, [status(thm)], [c268,d7])).
% 129.22/19.33 cnf(d9, plain, 'k5$ufilter$u2'(sK161,sK163) = sK163 | ~'l3$ulattices'(sK161) | ~'v10$ulattices'(sK161) | 'v3$ustruct$u0'(sK161), inference(resolution, [status(thm)], [c42,c269])).
% 129.22/19.33 cnf(d10, plain, 'k5$ufilter$u2'(sK161,sK163) = sK163 | ~'l3$ulattices'(sK161) | 'v3$ustruct$u0'(sK161), inference(resolution, [status(thm)], [c264,d9])).
% 129.22/19.33 cnf(d11, plain, 'k5$ufilter$u2'(sK161,sK163) = sK163 | 'v3$ustruct$u0'(sK161), inference(resolution, [status(thm)], [c265,d10])).
% 129.22/19.33 cnf(d12, plain, 'k5$ufilter$u2'(sK161,sK163) = sK163, inference(resolution, [status(thm)], [c267,d11])).
% 129.22/19.33 cnf(d13, plain, 'm1$usubset$u1'(sK163,'u1$ustruct$u0'('k1$ulattice2'(sK161))) | ~'l3$ulattices'(sK161) | ~'v10$ulattices'(sK161) | 'v3$ustruct$u0'(sK161) | ~'m1$usubset$u1'(sK163,'u1$ustruct$u0'(sK161)), inference(superposition, [status(thm)], [d12,c51])).
% 129.22/19.33 cnf(d14, plain, ~'l3$ulattices'(sK161) | 'v3$ustruct$u0'(sK161) | 'm1$usubset$u1'(sK163,'u1$ustruct$u0'('k1$ulattice2'(sK161))) | ~'m1$usubset$u1'(sK163,'u1$ustruct$u0'(sK161)), inference(resolution, [status(thm)], [c264,d13])).
% 129.22/19.33 cnf(d15, plain, 'v3$ustruct$u0'(sK161) | 'm1$usubset$u1'(sK163,'u1$ustruct$u0'('k1$ulattice2'(sK161))) | ~'m1$usubset$u1'(sK163,'u1$ustruct$u0'(sK161)), inference(resolution, [status(thm)], [c265,d14])).
% 129.22/19.33 cnf(d16, plain, 'm1$usubset$u1'(sK163,'u1$ustruct$u0'('k1$ulattice2'(sK161))) | ~'m1$usubset$u1'(sK163,'u1$ustruct$u0'(sK161)), inference(resolution, [status(thm)], [c267,d15])).
% 129.22/19.33 cnf(d17, plain, 'm1$usubset$u1'(sK163,'u1$ustruct$u0'('k1$ulattice2'(sK161))), inference(resolution, [status(thm)], [c269,d16])).
% 129.22/19.33 cnf(d18, plain, sK163 = X0 | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'('k1$ulattice2'(sK161))) | ~'v17$ulattices'('k1$ulattice2'(sK161)) | 'Ts151'('k1$ulattice2'(sK161),X0,sK163), inference(resolution, [status(thm)], [c254,d17])).
% 129.22/19.33 cnf(d19, plain, sK163 = sK162 | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'v17$ulattices'('k1$ulattice2'(sK161)) | 'Ts151'('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [d18,d8])).
% 129.22/19.33 cnf(d20, plain, ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'v17$ulattices'('k1$ulattice2'(sK161)) | 'Ts151'('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [c272,d19])).
% 129.22/19.33 cnf(d21, plain, ~'l3$ulattices'('k1$ulattice2'(X0)) | ~'v10$ulattices'('k1$ulattice2'(X0)) | 'v3$ustruct$u0'('k1$ulattice2'(X0)) | ~'m1$ufilter$u0'(X1,'k1$ulattice2'(X0)) | 'k8$ufilter$u2'(X0,X1) = X1 | ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0), inference(resolution, [status(thm)], [c59,c44])).
% 129.22/19.33 cnf(d22, plain, 'k8$ufilter$u2'(X0,sK155('k1$ulattice2'(X0),X1,X2)) = sK155('k1$ulattice2'(X0),X1,X2) | ~'l3$ulattices'(X0) | ~'l3$ulattices'('k1$ulattice2'(X0)) | ~'v10$ulattices'(X0) | ~'v10$ulattices'('k1$ulattice2'(X0)) | 'v3$ustruct$u0'(X0) | 'v3$ustruct$u0'('k1$ulattice2'(X0)) | ~'Ts151'('k1$ulattice2'(X0),X1,X2), inference(resolution, [status(thm)], [d21,c255])).
% 129.22/19.33 cnf(d23, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | ~'l3$ulattices'(sK161) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'(sK161) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'(sK161) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'v17$ulattices'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [d22,d20])).
% 129.22/19.33 cnf(d24, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'l3$ulattices'(sK161) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'(sK161) | ~'v17$ulattices'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [c264,d23])).
% 129.22/19.33 cnf(d25, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'(sK161) | ~'v17$ulattices'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [c265,d24])).
% 129.22/19.33 cnf(d26, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'v17$ulattices'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [c267,d25])).
% 129.22/19.33 cnf(d27, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'Ts89'(sK161), inference(resolution, [status(thm)], [d26,c113])).
% 129.22/19.33 cnf(d28, plain, ~'l3$ulattices'(sK161) | ~'v10$ulattices'(sK161) | 'v3$ustruct$u0'(sK161) | 'Ts89'(sK161), inference(resolution, [status(thm)], [c104,c266])).
% 129.22/19.33 cnf(d29, plain, ~'l3$ulattices'(sK161) | 'v3$ustruct$u0'(sK161) | 'Ts89'(sK161), inference(resolution, [status(thm)], [c264,d28])).
% 129.22/19.33 cnf(d30, plain, 'v3$ustruct$u0'(sK161) | 'Ts89'(sK161), inference(resolution, [status(thm)], [c265,d29])).
% 129.22/19.33 cnf(d31, plain, 'Ts89'(sK161), inference(resolution, [status(thm)], [c267,d30])).
% 129.22/19.33 cnf(d32, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [d31,d27])).
% 129.22/19.33 cnf(d33, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'Ts89'(sK161), inference(resolution, [status(thm)], [d32,c109])).
% 129.22/19.33 cnf(d34, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [d31,d33])).
% 129.22/19.33 cnf(d35, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'l3$ulattices'(sK161), inference(resolution, [status(thm)], [d34,c50])).
% 129.22/19.33 cnf(d36, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [c265,d35])).
% 129.22/19.33 cnf(d37, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | ~'Ts89'(sK161), inference(resolution, [status(thm)], [d36,c105])).
% 129.22/19.33 cnf(d38, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [d31,d37])).
% 129.22/19.33 cnf(d39, plain, ~'Ts151'('k1$ulattice2'(X0),X1,X2) | 'k8$ufilter$u2'(X0,sK155('k1$ulattice2'(X0),X1,X2)) = 'k14$ufilter$u2'(X0,sK155('k1$ulattice2'(X0),X1,X2)) | ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0), inference(resolution, [status(thm)], [c255,c239])).
% 129.22/19.33 cnf(d40, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = 'k14$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'l3$ulattices'(sK161) | ~'v10$ulattices'(sK161) | 'v3$ustruct$u0'(sK161) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'v17$ulattices'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [d39,d20])).
% 129.22/19.33 cnf(d41, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = 'k14$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'l3$ulattices'(sK161) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'(sK161) | ~'v17$ulattices'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [c264,d40])).
% 129.22/19.33 cnf(d42, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = 'k14$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'(sK161) | ~'v17$ulattices'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [c265,d41])).
% 129.22/19.33 cnf(d43, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = 'k14$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'v17$ulattices'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [c267,d42])).
% 129.22/19.33 cnf(d44, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = 'k14$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'Ts89'(sK161), inference(resolution, [status(thm)], [d43,c113])).
% 129.22/19.33 cnf(d45, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = 'k14$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [d31,d44])).
% 129.22/19.33 cnf(d46, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = 'k14$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'Ts89'(sK161), inference(resolution, [status(thm)], [d45,c109])).
% 129.22/19.33 cnf(d47, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = 'k14$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [d31,d46])).
% 129.22/19.33 cnf(d48, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = 'k14$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'l3$ulattices'(sK161), inference(resolution, [status(thm)], [d47,c50])).
% 129.22/19.33 cnf(d49, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = 'k14$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [c265,d48])).
% 129.22/19.33 cnf(d50, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = 'k14$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'Ts89'(sK161), inference(resolution, [status(thm)], [d49,c105])).
% 129.22/19.33 cnf(d51, plain, 'k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = 'k14$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)), inference(resolution, [status(thm)], [d31,d50])).
% 129.22/19.33 cnf(d52, plain, 'm2$ufilter$u2'('k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)),sK161) | ~'l3$ulattices'(sK161) | ~'v10$ulattices'(sK161) | 'v3$ustruct$u0'(sK161) | ~'m1$ufilter$u0'(sK155('k1$ulattice2'(sK161),sK162,sK163),'k1$ulattice2'(sK161)), inference(superposition, [status(thm)], [d51,c47])).
% 129.22/19.33 cnf(d53, plain, ~'l3$ulattices'(sK161) | 'v3$ustruct$u0'(sK161) | ~'m1$ufilter$u0'(sK155('k1$ulattice2'(sK161),sK162,sK163),'k1$ulattice2'(sK161)) | 'm2$ufilter$u2'('k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)),sK161), inference(resolution, [status(thm)], [c264,d52])).
% 129.22/19.33 cnf(d54, plain, 'v3$ustruct$u0'(sK161) | ~'m1$ufilter$u0'(sK155('k1$ulattice2'(sK161),sK162,sK163),'k1$ulattice2'(sK161)) | 'm2$ufilter$u2'('k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)),sK161), inference(resolution, [status(thm)], [c265,d53])).
% 129.22/19.33 cnf(d55, plain, ~'m1$ufilter$u0'(sK155('k1$ulattice2'(sK161),sK162,sK163),'k1$ulattice2'(sK161)) | 'm2$ufilter$u2'('k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)),sK161), inference(resolution, [status(thm)], [c267,d54])).
% 129.22/19.33 cnf(d56, plain, ~'m1$ufilter$u0'(sK155('k1$ulattice2'(sK161),sK162,sK163),'k1$ulattice2'(sK161)) | 'm2$ufilter$u2'(sK155('k1$ulattice2'(sK161),sK162,sK163),sK161), inference(demodulation, [status(thm)], [d55,d38])).
% 129.22/19.33 cnf(d57, plain, 'm2$ufilter$u2'(sK155('k1$ulattice2'(sK161),sK162,sK163),sK161) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [d56,c255])).
% 129.22/19.33 cnf(d58, plain, ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m2$ulattice4'(X1,X0) | 'k7$ufilter$u2'(X0,X1) = X1 | ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0), inference(resolution, [status(thm)], [c64,c43])).
% 129.22/19.33 cnf(d59, plain, ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | 'm2$ulattice4'('k14$ufilter$u2'(X0,X1),X0) | ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m1$ufilter$u0'(X1,'k1$ulattice2'(X0)), inference(resolution, [status(thm)], [c63,c47])).
% 129.22/19.33 cnf(d60, plain, 'm2$ulattice4'('k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)),sK161) | ~'l3$ulattices'(sK161) | ~'v10$ulattices'(sK161) | 'v3$ustruct$u0'(sK161) | ~'m1$ufilter$u0'(sK155('k1$ulattice2'(sK161),sK162,sK163),'k1$ulattice2'(sK161)), inference(superposition, [status(thm)], [d51,d59])).
% 129.22/19.33 cnf(d61, plain, ~'l3$ulattices'(sK161) | 'v3$ustruct$u0'(sK161) | ~'m1$ufilter$u0'(sK155('k1$ulattice2'(sK161),sK162,sK163),'k1$ulattice2'(sK161)) | 'm2$ulattice4'('k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)),sK161), inference(resolution, [status(thm)], [c264,d60])).
% 129.22/19.33 cnf(d62, plain, 'v3$ustruct$u0'(sK161) | ~'m1$ufilter$u0'(sK155('k1$ulattice2'(sK161),sK162,sK163),'k1$ulattice2'(sK161)) | 'm2$ulattice4'('k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)),sK161), inference(resolution, [status(thm)], [c265,d61])).
% 129.22/19.33 cnf(d63, plain, ~'m1$ufilter$u0'(sK155('k1$ulattice2'(sK161),sK162,sK163),'k1$ulattice2'(sK161)) | 'm2$ulattice4'('k8$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)),sK161), inference(resolution, [status(thm)], [c267,d62])).
% 129.22/19.33 cnf(d64, plain, ~'m1$ufilter$u0'(sK155('k1$ulattice2'(sK161),sK162,sK163),'k1$ulattice2'(sK161)) | 'm2$ulattice4'(sK155('k1$ulattice2'(sK161),sK162,sK163),sK161), inference(demodulation, [status(thm)], [d63,d38])).
% 129.22/19.33 cnf(d65, plain, 'm2$ulattice4'(sK155('k1$ulattice2'(sK161),sK162,sK163),sK161) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [d64,c255])).
% 129.22/19.33 cnf(d66, plain, ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163) | 'k7$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | ~'l3$ulattices'(sK161) | ~'v10$ulattices'(sK161) | 'v3$ustruct$u0'(sK161), inference(resolution, [status(thm)], [d65,d58])).
% 129.22/19.33 cnf(d67, plain, 'k7$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | ~'l3$ulattices'(sK161) | 'v3$ustruct$u0'(sK161) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [c264,d66])).
% 129.22/19.33 cnf(d68, plain, 'k7$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | 'v3$ustruct$u0'(sK161) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [c265,d67])).
% 129.22/19.33 cnf(d69, plain, 'k7$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [c267,d68])).
% 129.22/19.33 cnf(d70, plain, 'k7$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'v17$ulattices'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [d69,d20])).
% 129.22/19.33 cnf(d71, plain, 'k7$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'Ts89'(sK161), inference(resolution, [status(thm)], [d70,c113])).
% 129.22/19.33 cnf(d72, plain, 'k7$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [d31,d71])).
% 129.22/19.33 cnf(d73, plain, 'k7$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'Ts89'(sK161), inference(resolution, [status(thm)], [d72,c109])).
% 129.22/19.33 cnf(d74, plain, 'k7$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [d31,d73])).
% 129.22/19.33 cnf(d75, plain, 'k7$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'l3$ulattices'(sK161), inference(resolution, [status(thm)], [d74,c50])).
% 129.22/19.33 cnf(d76, plain, 'k7$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [c265,d75])).
% 129.22/19.33 cnf(d77, plain, 'k7$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163) | ~'Ts89'(sK161), inference(resolution, [status(thm)], [d76,c105])).
% 129.22/19.33 cnf(d78, plain, 'k7$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = sK155('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [d31,d77])).
% 129.22/19.33 cnf(d79, plain, ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163) | 'k7$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) = 'k15$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'l3$ulattices'(sK161) | ~'v10$ulattices'(sK161) | 'v3$ustruct$u0'(sK161), inference(resolution, [status(thm)], [d57,c240])).
% 129.22/19.33 cnf(d80, plain, sK155('k1$ulattice2'(sK161),sK162,sK163) = 'k15$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'l3$ulattices'(sK161) | ~'v10$ulattices'(sK161) | 'v3$ustruct$u0'(sK161) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163), inference(demodulation, [status(thm)], [d79,d78])).
% 129.22/19.33 cnf(d81, plain, sK155('k1$ulattice2'(sK161),sK162,sK163) = 'k15$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'l3$ulattices'(sK161) | 'v3$ustruct$u0'(sK161) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [c264,d80])).
% 129.22/19.33 cnf(d82, plain, sK155('k1$ulattice2'(sK161),sK162,sK163) = 'k15$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | 'v3$ustruct$u0'(sK161) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [c265,d81])).
% 129.22/19.33 cnf(d83, plain, sK155('k1$ulattice2'(sK161),sK162,sK163) = 'k15$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [c267,d82])).
% 129.22/19.33 cnf(d84, plain, sK155('k1$ulattice2'(sK161),sK162,sK163) = 'k15$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'v17$ulattices'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [d83,d20])).
% 129.22/19.33 cnf(d85, plain, sK155('k1$ulattice2'(sK161),sK162,sK163) = 'k15$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'Ts89'(sK161), inference(resolution, [status(thm)], [d84,c113])).
% 129.22/19.33 cnf(d86, plain, sK155('k1$ulattice2'(sK161),sK162,sK163) = 'k15$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [d31,d85])).
% 129.22/19.33 cnf(d87, plain, sK155('k1$ulattice2'(sK161),sK162,sK163) = 'k15$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'Ts89'(sK161), inference(resolution, [status(thm)], [d86,c109])).
% 129.22/19.33 cnf(d88, plain, sK155('k1$ulattice2'(sK161),sK162,sK163) = 'k15$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'l3$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [d31,d87])).
% 129.22/19.33 cnf(d89, plain, sK155('k1$ulattice2'(sK161),sK162,sK163) = 'k15$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'l3$ulattices'(sK161), inference(resolution, [status(thm)], [d88,c50])).
% 129.22/19.33 cnf(d90, plain, sK155('k1$ulattice2'(sK161),sK162,sK163) = 'k15$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [c265,d89])).
% 129.22/19.33 cnf(d91, plain, sK155('k1$ulattice2'(sK161),sK162,sK163) = 'k15$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'Ts89'(sK161), inference(resolution, [status(thm)], [d90,c105])).
% 129.22/19.33 cnf(d92, plain, sK155('k1$ulattice2'(sK161),sK162,sK163) = 'k15$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)), inference(resolution, [status(thm)], [d31,d91])).
% 129.22/19.33 cnf(d93, plain, ~'v1$ufilter$u0'(sK155('k1$ulattice2'(sK161),sK162,sK163),'k1$ulattice2'(sK161)) | ~'l3$ulattices'(sK161) | ~'v10$ulattices'(sK161) | 'v3$ustruct$u0'(sK161) | ~'m2$ufilter$u2'(sK155('k1$ulattice2'(sK161),sK162,sK163),sK161) | 'r2$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)), inference(superposition, [status(thm)], [d92,c249])).
% 129.22/19.33 cnf(d94, plain, ~'l3$ulattices'(sK161) | 'v3$ustruct$u0'(sK161) | ~'m2$ufilter$u2'(sK155('k1$ulattice2'(sK161),sK162,sK163),sK161) | 'r2$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'v1$ufilter$u0'(sK155('k1$ulattice2'(sK161),sK162,sK163),'k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [c264,d93])).
% 129.22/19.33 cnf(d95, plain, 'v3$ustruct$u0'(sK161) | ~'m2$ufilter$u2'(sK155('k1$ulattice2'(sK161),sK162,sK163),sK161) | 'r2$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'v1$ufilter$u0'(sK155('k1$ulattice2'(sK161),sK162,sK163),'k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [c265,d94])).
% 129.22/19.33 cnf(d96, plain, ~'m2$ufilter$u2'(sK155('k1$ulattice2'(sK161),sK162,sK163),sK161) | 'r2$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'v1$ufilter$u0'(sK155('k1$ulattice2'(sK161),sK162,sK163),'k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [c267,d95])).
% 129.22/19.33 cnf(d97, plain, ~'m2$ufilter$u2'(sK155('k1$ulattice2'(sK161),sK162,sK163),sK161) | 'r2$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [d96,c260])).
% 129.22/19.33 cnf(d98, plain, 'r2$ufilter$u2'(sK161,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [d97,d57])).
% 129.22/19.33 cnf(d99, plain, ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163) | ~'r2$uhidden'(sK162,sK155('k1$ulattice2'(sK161),sK162,sK163)) | 'r2$uhidden'(sK163,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'m2$ufilter$u2'(sK155('k1$ulattice2'(sK161),sK162,sK163),sK161), inference(resolution, [status(thm)], [d98,c270])).
% 129.22/19.33 cnf(d100, plain, ~'r2$uhidden'(sK162,sK155('k1$ulattice2'(sK161),sK162,sK163)) | 'r2$uhidden'(sK163,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [d99,d57])).
% 129.22/19.33 cnf(d101, plain, 'r2$uhidden'(sK163,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163) | 'r2$uhidden'(sK163,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [d100,c257])).
% 129.22/19.33 cnf(d102, plain, ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163) | ~'r2$uhidden'(sK162,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [d101,c258])).
% 129.22/19.33 cnf(d103, plain, ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163) | 'r2$uhidden'(sK162,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'r2$uhidden'(sK163,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'m2$ufilter$u2'(sK155('k1$ulattice2'(sK161),sK162,sK163),sK161), inference(resolution, [status(thm)], [d98,c271])).
% 129.22/19.33 cnf(d104, plain, 'r2$uhidden'(sK162,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'r2$uhidden'(sK163,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [d103,d57])).
% 129.22/19.33 cnf(d105, plain, 'r2$uhidden'(sK162,sK155('k1$ulattice2'(sK161),sK162,sK163)) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [d104,d101])).
% 129.22/19.33 cnf(d106, plain, ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163) | ~'Ts151'('k1$ulattice2'(sK161),sK162,sK163), inference(resolution, [status(thm)], [d105,d102])).
% 129.22/19.33 cnf(d107, plain, ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'v17$ulattices'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [d106,d20])).
% 129.22/19.33 cnf(d108, plain, ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'Ts89'(sK161), inference(resolution, [status(thm)], [d107,c113])).
% 129.22/19.33 cnf(d109, plain, ~'l3$ulattices'('k1$ulattice2'(sK161)) | ~'v10$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [d31,d108])).
% 129.22/19.33 cnf(d110, plain, ~'l3$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'Ts89'(sK161), inference(resolution, [status(thm)], [d109,c109])).
% 129.22/19.33 cnf(d111, plain, ~'l3$ulattices'('k1$ulattice2'(sK161)) | 'v3$ustruct$u0'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [d31,d110])).
% 129.22/19.33 cnf(d112, plain, 'v3$ustruct$u0'('k1$ulattice2'(sK161)) | ~'l3$ulattices'(sK161), inference(resolution, [status(thm)], [d111,c50])).
% 129.22/19.33 cnf(d113, plain, 'v3$ustruct$u0'('k1$ulattice2'(sK161)), inference(resolution, [status(thm)], [c265,d112])).
% 129.22/19.33 cnf(d114, plain, ~'Ts89'(sK161), inference(resolution, [status(thm)], [d113,c105])).
% 129.22/19.33 cnf(d115, plain, $false, inference(resolution, [status(thm)], [d31,d114])).
% 129.22/19.33 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------