%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT306+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 : n026.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 07:48:13 AM UTC 2026
% Result : Theorem 68.29s 9.18s
% Output : CNFRefutation 68.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT306+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
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 20:42:55 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 68.29/9.18 % SZS status Theorem for theBenchmark.p
% 68.29/9.18 % SZS output start CNFRefutation for theBenchmark.p
% 68.29/9.18 fof(abstractness_v3_lattices, axiom, ! [X0] : (('l3$ulattices'(X0) => ('v3$ulattices'(X0) => X0 = 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)))))).
% 68.29/9.18 fof(d2_filter_0, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => 'k1$ufilter$u0'(X0) = 'u1$ustruct$u0'(X0)))).
% 68.29/9.18 fof(d2_lattice2, axiom, ! [X0] : (('l3$ulattices'(X0) => 'k1$ulattice2'(X0) = 'g3$ulattices'('u1$ustruct$u0'(X0),'u1$ulattices'(X0),'u2$ulattices'(X0))))).
% 68.29/9.18 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))))).
% 68.29/9.18 fof(d8_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => 'k17$ufilter$u2'(X0) = 'u1$ustruct$u0'(X0)))).
% 68.29/9.18 fof(d9_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => 'k18$ufilter$u2'(X0,X1) = 'a$u2$u0$ufilter$u2'(X0,X1)))))).
% 68.29/9.18 fof(dt_k1_filter_0, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => 'm1$ufilter$u0'('k1$ufilter$u0'(X0),X0)))).
% 68.29/9.18 fof(dt_k1_lattice2, axiom, ! [X0] : (('l3$ulattices'(X0) => ('v3$ulattices'('k1$ulattice2'(X0)) & 'l3$ulattices'('k1$ulattice2'(X0)))))).
% 68.29/9.18 fof(dt_k5_filter_2, axiom, ! [X0] : ! [X1] : (((~'v3$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)))))).
% 68.29/9.18 fof(dt_k6_lattices, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & 'l2$ulattices'(X0)) => 'm1$usubset$u1'('k6$ulattices'(X0),'u1$ustruct$u0'(X0))))).
% 68.29/9.18 fof(dt_l1_lattices, axiom, ! [X0] : (('l1$ulattices'(X0) => 'l1$ustruct$u0'(X0)))).
% 68.29/9.18 fof(dt_l3_lattices, axiom, ! [X0] : (('l3$ulattices'(X0) => ('l1$ulattices'(X0) & 'l2$ulattices'(X0))))).
% 68.29/9.18 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))))))))).
% 68.29/9.18 fof(dt_u1_lattices, axiom, ! [X0] : (('l1$ulattices'(X0) => ('v1$ufunct$u1'('u1$ulattices'(X0)) & ('v1$ufunct$u2'('u1$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0)) & 'm2$urelset$u1'('u1$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0))))))).
% 68.29/9.18 fof(dt_u2_lattices, axiom, ! [X0] : (('l2$ulattices'(X0) => ('v1$ufunct$u1'('u2$ulattices'(X0)) & ('v1$ufunct$u2'('u2$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0)) & 'm2$urelset$u1'('u2$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0))))))).
% 68.29/9.18 fof(fc1_lattice2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & 'l3$ulattices'(X0)) => (~'v3$ustruct$u0'('k1$ulattice2'(X0)) & 'v3$ulattices'('k1$ulattice2'(X0)))))).
% 68.29/9.18 fof(fc1_struct_0, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & 'l1$ustruct$u0'(X0)) => ~'v1$uxboole$u0'('u1$ustruct$u0'(X0))))).
% 68.29/9.18 fof(fc6_lattice2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$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$ulattice2'(X0))))))))))))).
% 68.29/9.18 fof(free_g3_lattices, axiom, ! [X0] : ! [X1] : ! [X2] : ((('v1$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$ulattices'(X3,X4,X5) => (X0 = X3 & (X1 = X4 & X2 = X5))))))).
% 68.29/9.18 fof(redefinition_k2_filter_2, axiom, ! [X0] : ! [X1] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('l3$ulattices'(X0) & 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))))) => 'k2$ufilter$u2'(X0,X1) = 'k2$ufilter$u0'(X0,X1)))).
% 68.29/9.18 fof(redefinition_m2_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('m2$urelset$u1'(X2,X0,X1) <=> 'm1$urelset$u1'(X2,X0,X1)))).
% 68.29/9.18 fof(redefinition_r1_filter_2, axiom, ! [X0] : ! [X1] : ! [X2] : (((~'v1$uxboole$u0'(X0) & ('m1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0)) & 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0)))) => ('r1$ufilter$u2'(X0,X1,X2) <=> X1 = X2)))).
% 68.29/9.18 fof(t20_filter_0, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('v13$ulattices'(X0) & 'l3$ulattices'(X0)))) => 'k1$ufilter$u0'(X0) = 'k2$ufilter$u0'(X0,'k5$ulattices'(X0)))))).
% 68.29/9.18 fof(t30_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => ('k18$ufilter$u2'(X0,X1) = 'k2$ufilter$u2'('k1$ulattice2'(X0),'k5$ufilter$u2'(X0,X1)) & 'k18$ufilter$u2'('k1$ulattice2'(X0),'k5$ufilter$u2'(X0,X1)) = 'k2$ufilter$u2'(X0,X1))))))).
% 68.29/9.18 fof(t64_lattice2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ('v14$ulattices'(X0) <=> 'v13$ulattices'('k1$ulattice2'(X0)))))).
% 68.29/9.18 fof(t79_lattice2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('v14$ulattices'(X0) & 'l3$ulattices'(X0)))) => 'k6$ulattices'(X0) = 'k5$ulattices'('k1$ulattice2'(X0))))).
% 68.29/9.18 fof(t32_filter_2, conjecture, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ('v14$ulattices'(X0) => 'r1$ufilter$u2'('u1$ustruct$u0'(X0),'k17$ufilter$u2'(X0),'k18$ufilter$u2'(X0,'k6$ulattices'(X0))))))).
% 68.29/9.18 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ('v14$ulattices'(X0) => 'r1$ufilter$u2'('u1$ustruct$u0'(X0),'k17$ufilter$u2'(X0),'k18$ufilter$u2'(X0,'k6$ulattices'(X0)))))), inference(negate_conjecture, [status(cth)], [t32_filter_2])).
% 68.29/9.18 cnf(c0, plain, ~'l3$ulattices'(X0) | 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)) = X0 | ~'v3$ulattices'(X0), inference(clausification, [status(esa)], [abstractness_v3_lattices])).
% 68.29/9.18 cnf(c22, plain, ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | 'u1$ustruct$u0'(X0) = 'k1$ufilter$u0'(X0), inference(clausification, [status(esa)], [d2_filter_0])).
% 68.29/9.18 cnf(c23, plain, ~'l3$ulattices'(X0) | 'g3$ulattices'('u1$ustruct$u0'(X0),'u1$ulattices'(X0),'u2$ulattices'(X0)) = 'k1$ulattice2'(X0), inference(clausification, [status(esa)], [d2_lattice2])).
% 68.29/9.18 cnf(c25, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) | 'k5$ufilter$u2'(X1,X0) = X0 | 'v3$ustruct$u0'(X1) | ~'l3$ulattices'(X1) | ~'v10$ulattices'(X1), inference(clausification, [status(esa)], [d4_filter_2])).
% 68.29/9.18 cnf(c26, plain, ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | 'u1$ustruct$u0'(X0) = 'k17$ufilter$u2'(X0), inference(clausification, [status(esa)], [d8_filter_2])).
% 68.29/9.18 cnf(c27, plain, 'a$u2$u0$ufilter$u2'(X0,X1) = 'k18$ufilter$u2'(X0,X1) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0), inference(clausification, [status(esa)], [d9_filter_2])).
% 68.29/9.18 cnf(c32, plain, ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | 'm1$ufilter$u0'('k1$ufilter$u0'(X0),X0), inference(clausification, [status(esa)], [dt_k1_filter_0])).
% 68.29/9.18 cnf(c34, plain, ~'l3$ulattices'(X0) | 'v3$ulattices'('k1$ulattice2'(X0)), inference(clausification, [status(esa)], [dt_k1_lattice2])).
% 68.29/9.18 cnf(c35, plain, ~'l3$ulattices'(X0) | 'l3$ulattices'('k1$ulattice2'(X0)), inference(clausification, [status(esa)], [dt_k1_lattice2])).
% 68.29/9.18 cnf(c38, plain, ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'l3$ulattices'(X0) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | 'm1$usubset$u1'('k5$ufilter$u2'(X0,X1),'u1$ustruct$u0'('k1$ulattice2'(X0))), inference(clausification, [status(esa)], [dt_k5_filter_2])).
% 68.29/9.18 cnf(c40, plain, ~'l2$ulattices'(X0) | 'v3$ustruct$u0'(X0) | 'm1$usubset$u1'('k6$ulattices'(X0),'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [dt_k6_lattices])).
% 68.29/9.18 cnf(c41, plain, ~'l1$ulattices'(X0) | 'l1$ustruct$u0'(X0), inference(clausification, [status(esa)], [dt_l1_lattices])).
% 68.29/9.18 cnf(c43, plain, ~'l3$ulattices'(X0) | 'l1$ulattices'(X0), inference(clausification, [status(esa)], [dt_l3_lattices])).
% 68.29/9.18 cnf(c44, plain, ~'l3$ulattices'(X0) | 'l2$ulattices'(X0), inference(clausification, [status(esa)], [dt_l3_lattices])).
% 68.29/9.18 cnf(c46, 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])).
% 68.29/9.18 cnf(c53, plain, ~'l1$ulattices'(X0) | 'v1$ufunct$u1'('u1$ulattices'(X0)), inference(clausification, [status(esa)], [dt_u1_lattices])).
% 68.29/9.18 cnf(c54, plain, ~'l1$ulattices'(X0) | 'm2$urelset$u1'('u1$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [dt_u1_lattices])).
% 68.29/9.18 cnf(c55, plain, ~'l1$ulattices'(X0) | 'v1$ufunct$u2'('u1$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [dt_u1_lattices])).
% 68.29/9.18 cnf(c56, plain, ~'l2$ulattices'(X0) | 'v1$ufunct$u1'('u2$ulattices'(X0)), inference(clausification, [status(esa)], [dt_u2_lattices])).
% 68.29/9.18 cnf(c57, plain, ~'l2$ulattices'(X0) | 'm2$urelset$u1'('u2$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [dt_u2_lattices])).
% 68.29/9.18 cnf(c58, plain, ~'l2$ulattices'(X0) | 'v1$ufunct$u2'('u2$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [dt_u2_lattices])).
% 68.29/9.18 cnf(c70, plain, ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'v3$ustruct$u0'('k1$ulattice2'(X0)), inference(clausification, [status(esa)], [fc1_lattice2])).
% 68.29/9.18 cnf(c72, plain, ~'l1$ustruct$u0'(X0) | 'v3$ustruct$u0'(X0) | ~'v1$uxboole$u0'('u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [fc1_struct_0])).
% 68.29/9.18 cnf(c102, plain, ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | X1(X0), inference(clausification, [status(esa)], [fc6_lattice2])).
% 68.29/9.18 cnf(c107, plain, ~X0(X1) | 'v10$ulattices'('k1$ulattice2'(X1)), inference(clausification, [status(esa)], [fc6_lattice2])).
% 68.29/9.18 cnf(c120, plain, ~'m1$urelset$u1'(X0,'k2$uzfmisc$u1'(X1,X1),X1) | ~'v1$ufunct$u1'(X2) | X3 = X1 | ~'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X1,X1),X1) | 'g3$ulattices'(X3,X4,X5) != 'g3$ulattices'(X1,X0,X2) | ~'m1$urelset$u1'(X2,'k2$uzfmisc$u1'(X1,X1),X1) | ~'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(X1,X1),X1) | ~'v1$ufunct$u1'(X0), inference(clausification, [status(esa)], [free_g3_lattices])).
% 68.29/9.18 cnf(c172, plain, ~'l3$ulattices'(X0) | 'k2$ufilter$u0'(X0,X1) = 'k2$ufilter$u2'(X0,X1) | 'v3$ustruct$u0'(X0) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | ~'v10$ulattices'(X0), inference(clausification, [status(esa)], [redefinition_k2_filter_2])).
% 68.29/9.18 cnf(c175, plain, ~'m2$urelset$u1'(X0,X1,X2) | 'm1$urelset$u1'(X0,X1,X2), inference(clausification, [status(esa)], [redefinition_m2_relset_1])).
% 68.29/9.18 cnf(c178, plain, 'v1$uxboole$u0'(X0) | ~'m1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0)) | ~'m1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0)) | X2 != X1 | 'r1$ufilter$u2'(X0,X1,X2), inference(clausification, [status(esa)], [redefinition_r1_filter_2])).
% 68.29/9.18 cnf(c186, plain, 'v3$ustruct$u0'(X0) | ~'v13$ulattices'(X0) | 'k2$ufilter$u0'(X0,'k5$ulattices'(X0)) = 'k1$ufilter$u0'(X0) | ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0), inference(clausification, [status(esa)], [t20_filter_0])).
% 68.29/9.18 cnf(c192, plain, ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'k2$ufilter$u2'('k1$ulattice2'(X0),'k5$ufilter$u2'(X0,X1)) = 'k18$ufilter$u2'(X0,X1) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | 'v3$ustruct$u0'(X0), inference(clausification, [status(esa)], [t30_filter_2])).
% 68.29/9.18 cnf(c198, plain, 'v13$ulattices'('k1$ulattice2'(X0)) | ~'l3$ulattices'(X0) | ~'v14$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0), inference(clausification, [status(esa)], [t64_lattice2])).
% 68.29/9.18 cnf(c201, plain, 'k5$ulattices'('k1$ulattice2'(X0)) = 'k6$ulattices'(X0) | ~'l3$ulattices'(X0) | ~'v14$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0), inference(clausification, [status(esa)], [t79_lattice2])).
% 68.29/9.18 cnf(c204, plain, 'v10$ulattices'(sK177), inference(clausification, [status(esa)], [negated_conjecture])).
% 68.29/9.18 cnf(c205, plain, 'l3$ulattices'(sK177), inference(clausification, [status(esa)], [negated_conjecture])).
% 68.29/9.18 cnf(c206, plain, ~'v3$ustruct$u0'(sK177), inference(clausification, [status(esa)], [negated_conjecture])).
% 68.29/9.18 cnf(c207, plain, ~'r1$ufilter$u2'('u1$ustruct$u0'(sK177),'k17$ufilter$u2'(sK177),'k18$ufilter$u2'(sK177,'k6$ulattices'(sK177))), inference(clausification, [status(esa)], [negated_conjecture])).
% 68.29/9.18 cnf(c208, plain, 'v14$ulattices'(sK177), inference(clausification, [status(esa)], [negated_conjecture])).
% 68.29/9.18 cnf(d0, plain, 'g3$ulattices'('u1$ustruct$u0'(sK177),'u1$ulattices'(sK177),'u2$ulattices'(sK177)) = 'k1$ulattice2'(sK177), inference(resolution, [status(thm)], [c23,c205])).
% 68.29/9.18 cnf(d1, plain, 'g3$ulattices'(X0,X1,X2) != 'k1$ulattice2'(sK177) | X0 = 'u1$ustruct$u0'(sK177) | ~'v1$ufunct$u1'('u2$ulattices'(sK177)) | ~'v1$ufunct$u1'('u1$ulattices'(sK177)) | ~'m1$urelset$u1'('u2$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)) | ~'m1$urelset$u1'('u1$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)) | ~'v1$ufunct$u2'('u2$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)) | ~'v1$ufunct$u2'('u1$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)), inference(superposition, [status(thm)], [d0,c120])).
% 68.29/9.18 cnf(d2, plain, 'l1$ulattices'(sK177), inference(resolution, [status(thm)], [c43,c205])).
% 68.29/9.18 cnf(d3, plain, 'v1$ufunct$u1'('u1$ulattices'(sK177)), inference(resolution, [status(thm)], [c53,d2])).
% 68.29/9.18 cnf(d4, plain, X0 = 'u1$ustruct$u0'(sK177) | 'g3$ulattices'(X0,X1,X2) != 'k1$ulattice2'(sK177) | ~'v1$ufunct$u1'('u2$ulattices'(sK177)) | ~'m1$urelset$u1'('u2$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)) | ~'m1$urelset$u1'('u1$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)) | ~'v1$ufunct$u2'('u2$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)) | ~'v1$ufunct$u2'('u1$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [d3,d1])).
% 68.29/9.18 cnf(d5, plain, 'l2$ulattices'(sK177), inference(resolution, [status(thm)], [c44,c205])).
% 68.29/9.18 cnf(d6, plain, 'v1$ufunct$u1'('u2$ulattices'(sK177)), inference(resolution, [status(thm)], [c56,d5])).
% 68.29/9.18 cnf(d7, plain, X0 = 'u1$ustruct$u0'(sK177) | 'g3$ulattices'(X0,X1,X2) != 'k1$ulattice2'(sK177) | ~'m1$urelset$u1'('u2$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)) | ~'m1$urelset$u1'('u1$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)) | ~'v1$ufunct$u2'('u2$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)) | ~'v1$ufunct$u2'('u1$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [d6,d4])).
% 68.29/9.18 cnf(d8, plain, 'v1$ufunct$u2'('u1$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c55,d2])).
% 68.29/9.18 cnf(d9, plain, X0 = 'u1$ustruct$u0'(sK177) | 'g3$ulattices'(X0,X1,X2) != 'k1$ulattice2'(sK177) | ~'m1$urelset$u1'('u2$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)) | ~'m1$urelset$u1'('u1$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)) | ~'v1$ufunct$u2'('u2$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [d8,d7])).
% 68.29/9.18 cnf(d10, plain, 'v1$ufunct$u2'('u2$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c58,d5])).
% 68.29/9.18 cnf(d11, plain, X0 = 'u1$ustruct$u0'(sK177) | 'g3$ulattices'(X0,X1,X2) != 'k1$ulattice2'(sK177) | ~'m1$urelset$u1'('u2$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)) | ~'m1$urelset$u1'('u1$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [d10,d9])).
% 68.29/9.18 cnf(d12, plain, 'm2$urelset$u1'('u1$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c54,d2])).
% 68.29/9.18 cnf(d13, plain, 'm1$urelset$u1'('u1$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [d12,c175])).
% 68.29/9.18 cnf(d14, plain, X0 = 'u1$ustruct$u0'(sK177) | 'g3$ulattices'(X0,X1,X2) != 'k1$ulattice2'(sK177) | ~'m1$urelset$u1'('u2$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [d13,d11])).
% 68.29/9.18 cnf(d15, plain, 'm2$urelset$u1'('u2$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c57,d5])).
% 68.29/9.18 cnf(d16, plain, 'm1$urelset$u1'('u2$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [d15,c175])).
% 68.29/9.18 cnf(d17, plain, X0 = 'u1$ustruct$u0'(sK177) | 'g3$ulattices'(X0,X1,X2) != 'k1$ulattice2'(sK177), inference(resolution, [status(thm)], [d16,d14])).
% 68.29/9.18 cnf(d18, plain, 'v3$ulattices'('k1$ulattice2'(sK177)), inference(resolution, [status(thm)], [c34,c205])).
% 68.29/9.18 cnf(d19, plain, 'g3$ulattices'('u1$ustruct$u0'('k1$ulattice2'(sK177)),'u2$ulattices'('k1$ulattice2'(sK177)),'u1$ulattices'('k1$ulattice2'(sK177))) = 'k1$ulattice2'(sK177) | ~'l3$ulattices'('k1$ulattice2'(sK177)), inference(resolution, [status(thm)], [d18,c0])).
% 68.29/9.18 cnf(d20, plain, 'l3$ulattices'('k1$ulattice2'(sK177)), inference(resolution, [status(thm)], [c35,c205])).
% 68.29/9.18 cnf(d21, plain, 'g3$ulattices'('u1$ustruct$u0'('k1$ulattice2'(sK177)),'u2$ulattices'('k1$ulattice2'(sK177)),'u1$ulattices'('k1$ulattice2'(sK177))) = 'k1$ulattice2'(sK177), inference(resolution, [status(thm)], [d20,d19])).
% 68.29/9.18 cnf(d22, plain, 'k1$ulattice2'(sK177) != 'k1$ulattice2'(sK177) | 'u1$ustruct$u0'('k1$ulattice2'(sK177)) = 'u1$ustruct$u0'(sK177), inference(superposition, [status(thm)], [d21,d17])).
% 68.29/9.18 cnf(d23, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK177)) = 'u1$ustruct$u0'(sK177), inference(equality_resolution, [status(thm)], [d22])).
% 68.29/9.18 cnf(d24, plain, 'k5$ulattices'('k1$ulattice2'(sK177)) = 'k6$ulattices'(sK177) | ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177) | ~'v14$ulattices'(sK177), inference(resolution, [status(thm)], [c201,c205])).
% 68.29/9.18 cnf(d25, plain, 'k5$ulattices'('k1$ulattice2'(sK177)) = 'k6$ulattices'(sK177) | 'v3$ustruct$u0'(sK177) | ~'v14$ulattices'(sK177), inference(resolution, [status(thm)], [c204,d24])).
% 68.29/9.18 cnf(d26, plain, 'k5$ulattices'('k1$ulattice2'(sK177)) = 'k6$ulattices'(sK177) | ~'v14$ulattices'(sK177), inference(resolution, [status(thm)], [c206,d25])).
% 68.29/9.18 cnf(d27, plain, 'k5$ulattices'('k1$ulattice2'(sK177)) = 'k6$ulattices'(sK177), inference(resolution, [status(thm)], [c208,d26])).
% 68.29/9.18 cnf(d28, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK177)) = 'k1$ufilter$u0'('k1$ulattice2'(sK177)) | ~'v10$ulattices'('k1$ulattice2'(sK177)) | 'v3$ustruct$u0'('k1$ulattice2'(sK177)), inference(resolution, [status(thm)], [d20,c22])).
% 68.29/9.18 cnf(d29, plain, 'v3$ustruct$u0'(sK177) | ~'v3$ustruct$u0'('k1$ulattice2'(sK177)), inference(resolution, [status(thm)], [c70,c205])).
% 68.29/9.18 cnf(d30, plain, ~'v3$ustruct$u0'('k1$ulattice2'(sK177)), inference(resolution, [status(thm)], [c206,d29])).
% 68.29/9.18 cnf(d31, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK177)) = 'k1$ufilter$u0'('k1$ulattice2'(sK177)) | ~'v10$ulattices'('k1$ulattice2'(sK177)), inference(resolution, [status(thm)], [d30,d28])).
% 68.29/9.18 cnf(d32, plain, ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177) | 'Ts91'(sK177), inference(resolution, [status(thm)], [c102,c205])).
% 68.29/9.18 cnf(d33, plain, 'v3$ustruct$u0'(sK177) | 'Ts91'(sK177), inference(resolution, [status(thm)], [c204,d32])).
% 68.29/9.18 cnf(d34, plain, 'Ts91'(sK177), inference(resolution, [status(thm)], [c206,d33])).
% 68.29/9.18 cnf(d35, plain, 'v10$ulattices'('k1$ulattice2'(sK177)), inference(resolution, [status(thm)], [c107,d34])).
% 68.29/9.18 cnf(d36, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK177)) = 'k1$ufilter$u0'('k1$ulattice2'(sK177)), inference(resolution, [status(thm)], [d35,d31])).
% 68.29/9.18 cnf(d37, plain, 'k2$ufilter$u0'('k1$ulattice2'(sK177),'k5$ulattices'('k1$ulattice2'(sK177))) = 'k1$ufilter$u0'('k1$ulattice2'(sK177)) | ~'v10$ulattices'('k1$ulattice2'(sK177)) | 'v3$ustruct$u0'('k1$ulattice2'(sK177)) | ~'v13$ulattices'('k1$ulattice2'(sK177)), inference(resolution, [status(thm)], [c186,d20])).
% 68.29/9.18 cnf(d38, plain, 'k2$ufilter$u0'('k1$ulattice2'(sK177),'k5$ulattices'('k1$ulattice2'(sK177))) = 'u1$ustruct$u0'('k1$ulattice2'(sK177)) | ~'v10$ulattices'('k1$ulattice2'(sK177)) | 'v3$ustruct$u0'('k1$ulattice2'(sK177)) | ~'v13$ulattices'('k1$ulattice2'(sK177)), inference(demodulation, [status(thm)], [d37,d36])).
% 68.29/9.18 cnf(d39, plain, 'k2$ufilter$u0'('k1$ulattice2'(sK177),'k5$ulattices'('k1$ulattice2'(sK177))) = 'u1$ustruct$u0'('k1$ulattice2'(sK177)) | ~'v10$ulattices'('k1$ulattice2'(sK177)) | ~'v13$ulattices'('k1$ulattice2'(sK177)), inference(resolution, [status(thm)], [d30,d38])).
% 68.29/9.18 cnf(d40, plain, 'k2$ufilter$u0'('k1$ulattice2'(sK177),'k5$ulattices'('k1$ulattice2'(sK177))) = 'u1$ustruct$u0'('k1$ulattice2'(sK177)) | ~'v13$ulattices'('k1$ulattice2'(sK177)), inference(resolution, [status(thm)], [d35,d39])).
% 68.29/9.18 cnf(d41, plain, ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177) | 'v13$ulattices'('k1$ulattice2'(sK177)) | ~'v14$ulattices'(sK177), inference(resolution, [status(thm)], [c198,c205])).
% 68.29/9.18 cnf(d42, plain, 'v3$ustruct$u0'(sK177) | 'v13$ulattices'('k1$ulattice2'(sK177)) | ~'v14$ulattices'(sK177), inference(resolution, [status(thm)], [c204,d41])).
% 68.29/9.18 cnf(d43, plain, 'v13$ulattices'('k1$ulattice2'(sK177)) | ~'v14$ulattices'(sK177), inference(resolution, [status(thm)], [c206,d42])).
% 68.29/9.18 cnf(d44, plain, 'v13$ulattices'('k1$ulattice2'(sK177)), inference(resolution, [status(thm)], [c208,d43])).
% 68.29/9.18 cnf(d45, plain, 'k2$ufilter$u0'('k1$ulattice2'(sK177),'k5$ulattices'('k1$ulattice2'(sK177))) = 'u1$ustruct$u0'('k1$ulattice2'(sK177)), inference(resolution, [status(thm)], [d44,d40])).
% 68.29/9.18 cnf(d46, plain, 'k2$ufilter$u0'('k1$ulattice2'(sK177),'k6$ulattices'(sK177)) = 'u1$ustruct$u0'('k1$ulattice2'(sK177)), inference(demodulation, [status(thm)], [d45,d27])).
% 68.29/9.18 cnf(d47, plain, 'v3$ustruct$u0'(sK177) | 'm1$usubset$u1'('k6$ulattices'(sK177),'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [d5,c40])).
% 68.29/9.18 cnf(d48, plain, 'm1$usubset$u1'('k6$ulattices'(sK177),'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c206,d47])).
% 68.29/9.18 cnf(d49, plain, 'k5$ufilter$u2'(sK177,X0) = X0 | ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c25,c205])).
% 68.29/9.18 cnf(d50, plain, 'k5$ufilter$u2'(sK177,X0) = X0 | 'v3$ustruct$u0'(sK177) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c204,d49])).
% 68.29/9.18 cnf(d51, plain, 'k5$ufilter$u2'(sK177,X0) = X0 | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c206,d50])).
% 68.29/9.18 cnf(d52, plain, 'k5$ufilter$u2'(sK177,'k6$ulattices'(sK177)) = 'k6$ulattices'(sK177), inference(resolution, [status(thm)], [d51,d48])).
% 68.29/9.18 cnf(d53, plain, ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK177)) | 'm1$usubset$u1'('k5$ufilter$u2'(sK177,X0),'u1$ustruct$u0'('k1$ulattice2'(sK177))), inference(resolution, [status(thm)], [c38,c205])).
% 68.29/9.18 cnf(d54, plain, 'v3$ustruct$u0'(sK177) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK177)) | 'm1$usubset$u1'('k5$ufilter$u2'(sK177,X0),'u1$ustruct$u0'('k1$ulattice2'(sK177))), inference(resolution, [status(thm)], [c204,d53])).
% 68.29/9.18 cnf(d55, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK177)) | 'm1$usubset$u1'('k5$ufilter$u2'(sK177,X0),'u1$ustruct$u0'('k1$ulattice2'(sK177))), inference(resolution, [status(thm)], [c206,d54])).
% 68.29/9.18 cnf(d56, plain, 'm1$usubset$u1'('k5$ufilter$u2'(sK177,'k6$ulattices'(sK177)),'u1$ustruct$u0'('k1$ulattice2'(sK177))), inference(resolution, [status(thm)], [d55,d48])).
% 68.29/9.18 cnf(d57, plain, 'm1$usubset$u1'('k6$ulattices'(sK177),'u1$ustruct$u0'('k1$ulattice2'(sK177))), inference(demodulation, [status(thm)], [d56,d52])).
% 68.29/9.18 cnf(d58, plain, 'k2$ufilter$u0'('k1$ulattice2'(sK177),X0) = 'k2$ufilter$u2'('k1$ulattice2'(sK177),X0) | ~'v10$ulattices'('k1$ulattice2'(sK177)) | 'v3$ustruct$u0'('k1$ulattice2'(sK177)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'('k1$ulattice2'(sK177))), inference(resolution, [status(thm)], [c172,d20])).
% 68.29/9.18 cnf(d59, plain, 'k2$ufilter$u0'('k1$ulattice2'(sK177),X0) = 'k2$ufilter$u2'('k1$ulattice2'(sK177),X0) | ~'v10$ulattices'('k1$ulattice2'(sK177)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'('k1$ulattice2'(sK177))), inference(resolution, [status(thm)], [d30,d58])).
% 68.29/9.18 cnf(d60, plain, 'k2$ufilter$u0'('k1$ulattice2'(sK177),X0) = 'k2$ufilter$u2'('k1$ulattice2'(sK177),X0) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'('k1$ulattice2'(sK177))), inference(resolution, [status(thm)], [d35,d59])).
% 68.29/9.18 cnf(d61, plain, 'k2$ufilter$u0'('k1$ulattice2'(sK177),'k6$ulattices'(sK177)) = 'k2$ufilter$u2'('k1$ulattice2'(sK177),'k6$ulattices'(sK177)), inference(resolution, [status(thm)], [d60,d57])).
% 68.29/9.18 cnf(d62, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK177)) = 'k2$ufilter$u2'('k1$ulattice2'(sK177),'k6$ulattices'(sK177)), inference(demodulation, [status(thm)], [d61,d46])).
% 68.29/9.18 cnf(d63, plain, 'u1$ustruct$u0'(sK177) = 'k2$ufilter$u2'('k1$ulattice2'(sK177),'k6$ulattices'(sK177)), inference(demodulation, [status(thm)], [d62,d23])).
% 68.29/9.18 cnf(d64, plain, 'k2$ufilter$u2'('k1$ulattice2'(sK177),'k5$ufilter$u2'(sK177,X0)) = 'k18$ufilter$u2'(sK177,X0) | ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c192,c205])).
% 68.29/9.18 cnf(d65, plain, 'k2$ufilter$u2'('k1$ulattice2'(sK177),'k5$ufilter$u2'(sK177,X0)) = 'k18$ufilter$u2'(sK177,X0) | 'v3$ustruct$u0'(sK177) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c204,d64])).
% 68.29/9.18 cnf(d66, plain, 'k2$ufilter$u2'('k1$ulattice2'(sK177),'k5$ufilter$u2'(sK177,X0)) = 'k18$ufilter$u2'(sK177,X0) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c206,d65])).
% 68.29/9.18 cnf(d67, plain, 'k2$ufilter$u2'('k1$ulattice2'(sK177),'k5$ufilter$u2'(sK177,'k6$ulattices'(sK177))) = 'k18$ufilter$u2'(sK177,'k6$ulattices'(sK177)), inference(resolution, [status(thm)], [d66,d48])).
% 68.29/9.18 cnf(d68, plain, 'k2$ufilter$u2'('k1$ulattice2'(sK177),'k6$ulattices'(sK177)) = 'k18$ufilter$u2'(sK177,'k6$ulattices'(sK177)), inference(demodulation, [status(thm)], [d67,d52])).
% 68.29/9.18 cnf(d69, plain, 'u1$ustruct$u0'(sK177) = 'k18$ufilter$u2'(sK177,'k6$ulattices'(sK177)), inference(demodulation, [status(thm)], [d68,d63])).
% 68.29/9.18 cnf(d70, plain, 'a$u2$u0$ufilter$u2'(sK177,X0) = 'k18$ufilter$u2'(sK177,X0) | ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c27,c205])).
% 68.29/9.18 cnf(d71, plain, 'a$u2$u0$ufilter$u2'(sK177,X0) = 'k18$ufilter$u2'(sK177,X0) | 'v3$ustruct$u0'(sK177) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c204,d70])).
% 68.29/9.18 cnf(d72, plain, 'a$u2$u0$ufilter$u2'(sK177,X0) = 'k18$ufilter$u2'(sK177,X0) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c206,d71])).
% 68.29/9.18 cnf(d73, plain, 'a$u2$u0$ufilter$u2'(sK177,'k6$ulattices'(sK177)) = 'k18$ufilter$u2'(sK177,'k6$ulattices'(sK177)), inference(resolution, [status(thm)], [d72,d48])).
% 68.29/9.18 cnf(d74, plain, 'a$u2$u0$ufilter$u2'(sK177,'k6$ulattices'(sK177)) = 'u1$ustruct$u0'(sK177), inference(demodulation, [status(thm)], [d73,d69])).
% 68.29/9.18 cnf(d75, plain, 'u1$ustruct$u0'(sK177) = 'k17$ufilter$u2'(sK177) | ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177), inference(resolution, [status(thm)], [c26,c205])).
% 68.29/9.18 cnf(d76, plain, 'u1$ustruct$u0'(sK177) = 'k17$ufilter$u2'(sK177) | 'v3$ustruct$u0'(sK177), inference(resolution, [status(thm)], [c204,d75])).
% 68.29/9.18 cnf(d77, plain, 'u1$ustruct$u0'(sK177) = 'k17$ufilter$u2'(sK177), inference(resolution, [status(thm)], [c206,d76])).
% 68.29/9.18 cnf(d78, plain, ~'r1$ufilter$u2'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177),'k18$ufilter$u2'(sK177,'k6$ulattices'(sK177))), inference(demodulation, [status(thm)], [c207,d77])).
% 68.29/9.18 cnf(d79, plain, ~'r1$ufilter$u2'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177),'a$u2$u0$ufilter$u2'(sK177,'k6$ulattices'(sK177))), inference(demodulation, [status(thm)], [d78,d73])).
% 68.29/9.18 cnf(d80, plain, ~'r1$ufilter$u2'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)), inference(demodulation, [status(thm)], [d79,d74])).
% 68.29/9.18 cnf(d81, plain, 'u1$ustruct$u0'(sK177) = 'k1$ufilter$u0'(sK177) | ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177), inference(resolution, [status(thm)], [c22,c205])).
% 68.29/9.18 cnf(d82, plain, 'u1$ustruct$u0'(sK177) = 'k1$ufilter$u0'(sK177) | 'v3$ustruct$u0'(sK177), inference(resolution, [status(thm)], [c204,d81])).
% 68.29/9.18 cnf(d83, plain, 'u1$ustruct$u0'(sK177) = 'k1$ufilter$u0'(sK177), inference(resolution, [status(thm)], [c206,d82])).
% 68.29/9.18 cnf(d84, plain, ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177) | 'm1$ufilter$u0'('k1$ufilter$u0'(sK177),sK177), inference(resolution, [status(thm)], [c32,c205])).
% 68.29/9.18 cnf(d85, plain, ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177) | 'm1$ufilter$u0'('u1$ustruct$u0'(sK177),sK177), inference(demodulation, [status(thm)], [d84,d83])).
% 68.29/9.18 cnf(d86, plain, 'v3$ustruct$u0'(sK177) | 'm1$ufilter$u0'('u1$ustruct$u0'(sK177),sK177), inference(resolution, [status(thm)], [c204,d85])).
% 68.29/9.18 cnf(d87, plain, 'm1$ufilter$u0'('u1$ustruct$u0'(sK177),sK177), inference(resolution, [status(thm)], [c206,d86])).
% 68.29/9.18 cnf(d88, plain, ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177) | 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK177))) | ~'m1$ufilter$u0'(X0,sK177), inference(resolution, [status(thm)], [c46,c205])).
% 68.29/9.18 cnf(d89, plain, 'v3$ustruct$u0'(sK177) | 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK177))) | ~'m1$ufilter$u0'(X0,sK177), inference(resolution, [status(thm)], [c204,d88])).
% 68.29/9.18 cnf(d90, plain, 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK177))) | ~'m1$ufilter$u0'(X0,sK177), inference(resolution, [status(thm)], [c206,d89])).
% 68.29/9.18 cnf(d91, plain, 'm1$usubset$u1'('u1$ustruct$u0'(sK177),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK177))), inference(resolution, [status(thm)], [d90,d87])).
% 68.29/9.18 cnf(d92, plain, 'v1$uxboole$u0'(X0) | ~'m1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0)) | ~'m1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0)) | 'r1$ufilter$u2'(X0,X1,X1), inference(equality_resolution, [status(thm)], [c178])).
% 68.29/9.18 cnf(d93, plain, 'v1$uxboole$u0'('u1$ustruct$u0'(sK177)) | 'r1$ufilter$u2'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [d92,d91])).
% 68.29/9.18 cnf(d94, plain, 'r1$ufilter$u2'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)) | 'v3$ustruct$u0'(sK177) | ~'l1$ustruct$u0'(sK177), inference(resolution, [status(thm)], [d93,c72])).
% 68.29/9.18 cnf(d95, plain, ~'l1$ustruct$u0'(sK177) | 'r1$ufilter$u2'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c206,d94])).
% 68.29/9.18 cnf(d96, plain, 'l1$ustruct$u0'(sK177), inference(resolution, [status(thm)], [d2,c41])).
% 68.29/9.18 cnf(d97, plain, 'r1$ufilter$u2'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [d96,d95])).
% 68.29/9.18 cnf(d98, plain, $false, inference(resolution, [status(thm)], [d97,d80])).
% 68.29/9.18 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------