%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT331+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 : n011.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 07:48:20 AM UTC 2026
% Result : Theorem 38.20s 5.43s
% Output : CNFRefutation 38.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT331+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
% 0.08/0.36 % Computer : n011.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 20:57:59 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.20/5.43 % SZS status Theorem for theBenchmark.p
% 38.20/5.43 % SZS output start CNFRefutation for theBenchmark.p
% 38.20/5.43 fof(cc1_lattices, axiom, ! [X0] : (('l3$ulattices'(X0) => ((~'v3$ustruct$u0'(X0) & 'v10$ulattices'(X0)) => (~'v3$ustruct$u0'(X0) & ('v4$ulattices'(X0) & ('v5$ulattices'(X0) & ('v6$ulattices'(X0) & ('v7$ulattices'(X0) & ('v8$ulattices'(X0) & 'v9$ulattices'(X0))))))))))).
% 38.20/5.43 fof(d10_filter_0, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$ufilter$u0'(X1,X0) => ! [X2] : (((~'v3$ustruct$u0'(X2) & ('v10$ulattices'(X2) & 'l3$ulattices'(X2))) => (X2 = 'k8$ufilter$u0'(X0,X1) <=> ? [X3] : (('v1$ufunct$u1'(X3) & ('v1$ufunct$u2'(X3,'k2$uzfmisc$u1'(X1,X1),X1) & ('m2$urelset$u1'(X3,'k2$uzfmisc$u1'(X1,X1),X1) & ? [X4] : (('v1$ufunct$u1'(X4) & ('v1$ufunct$u2'(X4,'k2$uzfmisc$u1'(X1,X1),X1) & ('m2$urelset$u1'(X4,'k2$uzfmisc$u1'(X1,X1),X1) & (X3 = 'k1$urealset1'('u2$ulattices'(X0),X1) & (X4 = 'k1$urealset1'('u1$ulattices'(X0),X1) & X2 = 'g3$ulattices'(X1,X3,X4))))))))))))))))))).
% 38.20/5.43 fof(dt_k8_filter_0, axiom, ! [X0] : ! [X1] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('l3$ulattices'(X0) & 'm1$ufilter$u0'(X1,X0)))) => (~'v3$ustruct$u0'('k8$ufilter$u0'(X0,X1)) & ('v10$ulattices'('k8$ufilter$u0'(X0,X1)) & 'l3$ulattices'('k8$ufilter$u0'(X0,X1))))))).
% 38.20/5.43 fof(dt_l3_lattices, axiom, ! [X0] : (('l3$ulattices'(X0) => ('l1$ulattices'(X0) & 'l2$ulattices'(X0))))).
% 38.20/5.43 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))))))).
% 38.20/5.43 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))))))).
% 38.20/5.43 fof(fc3_lattice2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v5$ulattices'(X0) & 'l2$ulattices'(X0))) => ('v1$urelat$u1'('u2$ulattices'(X0)) & ('v1$ufunct$u1'('u2$ulattices'(X0)) & ('v1$ufunct$u2'('u2$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0)) & ('v2$ubinop$u1'('u2$ulattices'(X0),'u1$ustruct$u0'(X0)) & 'v1$upartfun1'('u2$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0))))))))).
% 38.20/5.43 fof(fc5_lattice2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v7$ulattices'(X0) & 'l1$ulattices'(X0))) => ('v1$urelat$u1'('u1$ulattices'(X0)) & ('v1$ufunct$u1'('u1$ulattices'(X0)) & ('v1$ufunct$u2'('u1$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0)) & ('v2$ubinop$u1'('u1$ulattices'(X0),'u1$ustruct$u0'(X0)) & 'v1$upartfun1'('u1$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0))))))))).
% 38.20/5.43 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))))))).
% 38.20/5.43 fof(redefinition_m1_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$ufilter$u2'(X1,X0) <=> 'm1$ufilter$u0'(X1,X0)))))).
% 38.20/5.43 fof(redefinition_m2_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('m2$urelset$u1'(X2,X0,X1) <=> 'm1$urelset$u1'(X2,X0,X1)))).
% 38.20/5.43 fof(t68_filter_2, conjecture, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (((~'v3$ustruct$u0'(X1) & ('v10$ulattices'(X1) & 'l3$ulattices'(X1))) => ! [X2] : (('m1$ufilter$u2'(X2,X0) => ! [X3] : (('m1$ufilter$u2'(X3,X1) => (('g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)) = 'g3$ulattices'('u1$ustruct$u0'(X1),'u2$ulattices'(X1),'u1$ulattices'(X1)) & X2 = X3) => 'k8$ufilter$u0'(X0,X2) = 'k8$ufilter$u0'(X1,X3))))))))))).
% 38.20/5.43 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (((~'v3$ustruct$u0'(X1) & ('v10$ulattices'(X1) & 'l3$ulattices'(X1))) => ! [X2] : (('m1$ufilter$u2'(X2,X0) => ! [X3] : (('m1$ufilter$u2'(X3,X1) => (('g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)) = 'g3$ulattices'('u1$ustruct$u0'(X1),'u2$ulattices'(X1),'u1$ulattices'(X1)) & X2 = X3) => 'k8$ufilter$u0'(X0,X2) = 'k8$ufilter$u0'(X1,X3)))))))))), inference(negate_conjecture, [status(cth)], [t68_filter_2])).
% 38.20/5.43 cnf(c3, plain, ~'l3$ulattices'(X0) | X1(X0) | 'v3$ustruct$u0'(X0) | ~'v10$ulattices'(X0), inference(clausification, [status(esa)], [cc1_lattices])).
% 38.20/5.43 cnf(c5, plain, ~X0(X1) | 'v5$ulattices'(X1), inference(clausification, [status(esa)], [cc1_lattices])).
% 38.20/5.43 cnf(c6, plain, ~X0(X1) | 'v7$ulattices'(X1), inference(clausification, [status(esa)], [cc1_lattices])).
% 38.20/5.43 cnf(c17, plain, ~'v10$ulattices'(X0) | ~'m1$ufilter$u0'(X1,X2) | X3(X2,X1,X0) | ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X2) | ~'l3$ulattices'(X2) | 'v3$ustruct$u0'(X0) | 'k8$ufilter$u0'(X2,X1) != X0 | ~'v10$ulattices'(X2), inference(clausification, [status(esa)], [d10_filter_0])).
% 38.20/5.43 cnf(c23, plain, ~X0(X1,X2,X3) | 'k1$urealset1'('u1$ulattices'(X1),X2) = sK18(X1,X2,X3), inference(clausification, [status(esa)], [d10_filter_0])).
% 38.20/5.43 cnf(c24, plain, ~X0(X1,X2,X3) | 'g3$ulattices'(X2,sK17(X1,X2,X3),sK18(X1,X2,X3)) = X3, inference(clausification, [status(esa)], [d10_filter_0])).
% 38.20/5.43 cnf(c25, plain, ~X0(X1,X2,X3) | 'k1$urealset1'('u2$ulattices'(X1),X2) = sK17(X1,X2,X3), inference(clausification, [status(esa)], [d10_filter_0])).
% 38.20/5.43 cnf(c32, plain, ~'v10$ulattices'(X0) | ~'v3$ustruct$u0'('k8$ufilter$u0'(X0,X1)) | 'v3$ustruct$u0'(X0) | ~'l3$ulattices'(X0) | ~'m1$ufilter$u0'(X1,X0), inference(clausification, [status(esa)], [dt_k8_filter_0])).
% 38.20/5.43 cnf(c33, plain, ~'v10$ulattices'(X0) | 'l3$ulattices'('k8$ufilter$u0'(X0,X1)) | 'v3$ustruct$u0'(X0) | ~'l3$ulattices'(X0) | ~'m1$ufilter$u0'(X1,X0), inference(clausification, [status(esa)], [dt_k8_filter_0])).
% 38.20/5.43 cnf(c34, plain, ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'l3$ulattices'(X0) | ~'m1$ufilter$u0'(X1,X0) | 'v10$ulattices'('k8$ufilter$u0'(X0,X1)), inference(clausification, [status(esa)], [dt_k8_filter_0])).
% 38.20/5.43 cnf(c37, plain, ~'l3$ulattices'(X0) | 'l1$ulattices'(X0), inference(clausification, [status(esa)], [dt_l3_lattices])).
% 38.20/5.43 cnf(c38, plain, ~'l3$ulattices'(X0) | 'l2$ulattices'(X0), inference(clausification, [status(esa)], [dt_l3_lattices])).
% 38.20/5.43 cnf(c46, plain, ~'l1$ulattices'(X0) | 'm2$urelset$u1'('u1$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [dt_u1_lattices])).
% 38.20/5.43 cnf(c47, plain, ~'l1$ulattices'(X0) | 'v1$ufunct$u2'('u1$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [dt_u1_lattices])).
% 38.20/5.43 cnf(c48, plain, ~'l2$ulattices'(X0) | 'v1$ufunct$u1'('u2$ulattices'(X0)), inference(clausification, [status(esa)], [dt_u2_lattices])).
% 38.20/5.43 cnf(c49, plain, ~'l2$ulattices'(X0) | 'm2$urelset$u1'('u2$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [dt_u2_lattices])).
% 38.20/5.43 cnf(c50, plain, ~'l2$ulattices'(X0) | 'v1$ufunct$u2'('u2$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [dt_u2_lattices])).
% 38.20/5.43 cnf(c83, plain, ~'v5$ulattices'(X0) | ~'l2$ulattices'(X0) | 'v3$ustruct$u0'(X0) | X1(X0), inference(clausification, [status(esa)], [fc3_lattice2])).
% 38.20/5.43 cnf(c85, plain, ~X0(X1) | 'v1$ufunct$u2'('u2$ulattices'(X1),'k2$uzfmisc$u1'('u1$ustruct$u0'(X1),'u1$ustruct$u0'(X1)),'u1$ustruct$u0'(X1)), inference(clausification, [status(esa)], [fc3_lattice2])).
% 38.20/5.43 cnf(c88, plain, ~X0(X1) | 'v1$ufunct$u1'('u2$ulattices'(X1)), inference(clausification, [status(esa)], [fc3_lattice2])).
% 38.20/5.43 cnf(c100, plain, ~'v7$ulattices'(X0) | ~'l1$ulattices'(X0) | 'v3$ustruct$u0'(X0) | X1(X0), inference(clausification, [status(esa)], [fc5_lattice2])).
% 38.20/5.43 cnf(c105, plain, ~X0(X1) | 'v1$ufunct$u1'('u1$ulattices'(X1)), inference(clausification, [status(esa)], [fc5_lattice2])).
% 38.20/5.43 cnf(c107, plain, ~'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(X1,X1),X1) | ~'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X1,X1),X1) | ~'v1$ufunct$u1'(X0) | 'g3$ulattices'(X3,X4,X5) != 'g3$ulattices'(X1,X0,X2) | ~'m1$urelset$u1'(X2,'k2$uzfmisc$u1'(X1,X1),X1) | ~'m1$urelset$u1'(X0,'k2$uzfmisc$u1'(X1,X1),X1) | X5 = X2 | ~'v1$ufunct$u1'(X2), inference(clausification, [status(esa)], [free_g3_lattices])).
% 38.20/5.43 cnf(c108, plain, ~'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(X1,X1),X1) | ~'v1$ufunct$u1'(X0) | 'g3$ulattices'(X2,X3,X4) != 'g3$ulattices'(X1,X0,X5) | ~'m1$urelset$u1'(X5,'k2$uzfmisc$u1'(X1,X1),X1) | ~'m1$urelset$u1'(X0,'k2$uzfmisc$u1'(X1,X1),X1) | ~'v1$ufunct$u1'(X5) | X3 = X0 | ~'v1$ufunct$u2'(X5,'k2$uzfmisc$u1'(X1,X1),X1), inference(clausification, [status(esa)], [free_g3_lattices])).
% 38.20/5.43 cnf(c144, plain, ~'m1$ufilter$u2'(X0,X1) | ~'v10$ulattices'(X1) | ~'l3$ulattices'(X1) | 'v3$ustruct$u0'(X1) | 'm1$ufilter$u0'(X0,X1), inference(clausification, [status(esa)], [redefinition_m1_filter_2])).
% 38.20/5.43 cnf(c146, plain, ~'m2$urelset$u1'(X0,X1,X2) | 'm1$urelset$u1'(X0,X1,X2), inference(clausification, [status(esa)], [redefinition_m2_relset_1])).
% 38.20/5.43 cnf(c158, plain, 'v10$ulattices'(sK131), inference(clausification, [status(esa)], [negated_conjecture])).
% 38.20/5.43 cnf(c159, plain, 'l3$ulattices'(sK131), inference(clausification, [status(esa)], [negated_conjecture])).
% 38.20/5.43 cnf(c160, plain, ~'v3$ustruct$u0'(sK131), inference(clausification, [status(esa)], [negated_conjecture])).
% 38.20/5.43 cnf(c161, plain, 'v10$ulattices'(sK132), inference(clausification, [status(esa)], [negated_conjecture])).
% 38.20/5.43 cnf(c162, plain, 'l3$ulattices'(sK132), inference(clausification, [status(esa)], [negated_conjecture])).
% 38.20/5.43 cnf(c163, plain, ~'v3$ustruct$u0'(sK132), inference(clausification, [status(esa)], [negated_conjecture])).
% 38.20/5.43 cnf(c164, plain, 'm1$ufilter$u2'(sK133,sK131), inference(clausification, [status(esa)], [negated_conjecture])).
% 38.20/5.43 cnf(c165, plain, 'm1$ufilter$u2'(sK134,sK132), inference(clausification, [status(esa)], [negated_conjecture])).
% 38.20/5.43 cnf(c166, plain, 'k8$ufilter$u0'(sK132,sK134) != 'k8$ufilter$u0'(sK131,sK133), inference(clausification, [status(esa)], [negated_conjecture])).
% 38.20/5.43 cnf(c167, plain, 'g3$ulattices'('u1$ustruct$u0'(sK132),'u2$ulattices'(sK132),'u1$ulattices'(sK132)) = 'g3$ulattices'('u1$ustruct$u0'(sK131),'u2$ulattices'(sK131),'u1$ulattices'(sK131)), inference(clausification, [status(esa)], [negated_conjecture])).
% 38.20/5.43 cnf(c168, plain, sK134 = sK133, inference(clausification, [status(esa)], [negated_conjecture])).
% 38.20/5.43 cnf(d0, plain, ~'l3$ulattices'(sK131) | ~'v10$ulattices'(sK131) | 'v3$ustruct$u0'(sK131) | 'm1$ufilter$u0'(sK133,sK131), inference(resolution, [status(thm)], [c144,c164])).
% 38.20/5.43 cnf(d1, plain, ~'l3$ulattices'(sK131) | 'v3$ustruct$u0'(sK131) | 'm1$ufilter$u0'(sK133,sK131), inference(resolution, [status(thm)], [c158,d0])).
% 38.20/5.43 cnf(d2, plain, 'v3$ustruct$u0'(sK131) | 'm1$ufilter$u0'(sK133,sK131), inference(resolution, [status(thm)], [c159,d1])).
% 38.20/5.43 cnf(d3, plain, 'm1$ufilter$u0'(sK133,sK131), inference(resolution, [status(thm)], [c160,d2])).
% 38.20/5.43 cnf(d4, plain, ~'l3$ulattices'('k8$ufilter$u0'(X0,X1)) | ~'l3$ulattices'(X0) | ~'v10$ulattices'('k8$ufilter$u0'(X0,X1)) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'('k8$ufilter$u0'(X0,X1)) | 'v3$ustruct$u0'(X0) | ~'m1$ufilter$u0'(X1,X0) | 'Ts11'(X0,X1,'k8$ufilter$u0'(X0,X1)), inference(equality_resolution, [status(thm)], [c17])).
% 38.20/5.43 cnf(d5, plain, ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m1$ufilter$u0'(X1,X0) | ~'l3$ulattices'(X0) | ~'l3$ulattices'('k8$ufilter$u0'(X0,X1)) | ~'v10$ulattices'(X0) | ~'v10$ulattices'('k8$ufilter$u0'(X0,X1)) | 'v3$ustruct$u0'(X0) | ~'m1$ufilter$u0'(X1,X0) | 'Ts11'(X0,X1,'k8$ufilter$u0'(X0,X1)), inference(resolution, [status(thm)], [c32,d4])).
% 38.20/5.43 cnf(d6, plain, ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m1$ufilter$u0'(X1,X0) | ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | ~'v10$ulattices'('k8$ufilter$u0'(X0,X1)) | 'v3$ustruct$u0'(X0) | ~'m1$ufilter$u0'(X1,X0) | 'Ts11'(X0,X1,'k8$ufilter$u0'(X0,X1)), inference(resolution, [status(thm)], [c33,d5])).
% 38.20/5.43 cnf(d7, plain, ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m1$ufilter$u0'(X1,X0) | ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m1$ufilter$u0'(X1,X0) | 'Ts11'(X0,X1,'k8$ufilter$u0'(X0,X1)), inference(resolution, [status(thm)], [c34,d6])).
% 38.20/5.43 cnf(d8, plain, ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m1$ufilter$u0'(X1,X0) | 'k1$urealset1'('u1$ulattices'(X0),X1) = sK18(X0,X1,'k8$ufilter$u0'(X0,X1)), inference(resolution, [status(thm)], [d7,c23])).
% 38.20/5.43 cnf(d9, plain, 'k1$urealset1'('u1$ulattices'(sK131),sK133) = sK18(sK131,sK133,'k8$ufilter$u0'(sK131,sK133)) | ~'l3$ulattices'(sK131) | ~'v10$ulattices'(sK131) | 'v3$ustruct$u0'(sK131), inference(resolution, [status(thm)], [d8,d3])).
% 38.20/5.43 cnf(d10, plain, 'k1$urealset1'('u1$ulattices'(sK131),sK133) = sK18(sK131,sK133,'k8$ufilter$u0'(sK131,sK133)) | ~'l3$ulattices'(sK131) | 'v3$ustruct$u0'(sK131), inference(resolution, [status(thm)], [c158,d9])).
% 38.20/5.43 cnf(d11, plain, 'k1$urealset1'('u1$ulattices'(sK131),sK133) = sK18(sK131,sK133,'k8$ufilter$u0'(sK131,sK133)) | 'v3$ustruct$u0'(sK131), inference(resolution, [status(thm)], [c159,d10])).
% 38.20/5.43 cnf(d12, plain, 'k1$urealset1'('u1$ulattices'(sK131),sK133) = sK18(sK131,sK133,'k8$ufilter$u0'(sK131,sK133)), inference(resolution, [status(thm)], [c160,d11])).
% 38.20/5.43 cnf(d13, plain, ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m1$ufilter$u0'(X1,X0) | 'k1$urealset1'('u2$ulattices'(X0),X1) = sK17(X0,X1,'k8$ufilter$u0'(X0,X1)), inference(resolution, [status(thm)], [d7,c25])).
% 38.20/5.43 cnf(d14, plain, 'k1$urealset1'('u2$ulattices'(sK131),sK133) = sK17(sK131,sK133,'k8$ufilter$u0'(sK131,sK133)) | ~'l3$ulattices'(sK131) | ~'v10$ulattices'(sK131) | 'v3$ustruct$u0'(sK131), inference(resolution, [status(thm)], [d13,d3])).
% 38.20/5.43 cnf(d15, plain, 'k1$urealset1'('u2$ulattices'(sK131),sK133) = sK17(sK131,sK133,'k8$ufilter$u0'(sK131,sK133)) | ~'l3$ulattices'(sK131) | 'v3$ustruct$u0'(sK131), inference(resolution, [status(thm)], [c158,d14])).
% 38.20/5.43 cnf(d16, plain, 'k1$urealset1'('u2$ulattices'(sK131),sK133) = sK17(sK131,sK133,'k8$ufilter$u0'(sK131,sK133)) | 'v3$ustruct$u0'(sK131), inference(resolution, [status(thm)], [c159,d15])).
% 38.20/5.43 cnf(d17, plain, 'k1$urealset1'('u2$ulattices'(sK131),sK133) = sK17(sK131,sK133,'k8$ufilter$u0'(sK131,sK133)), inference(resolution, [status(thm)], [c160,d16])).
% 38.20/5.43 cnf(d18, plain, ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m1$ufilter$u0'(X1,X0) | 'g3$ulattices'(X1,sK17(X0,X1,'k8$ufilter$u0'(X0,X1)),sK18(X0,X1,'k8$ufilter$u0'(X0,X1))) = 'k8$ufilter$u0'(X0,X1), inference(resolution, [status(thm)], [d7,c24])).
% 38.20/5.43 cnf(d19, plain, 'g3$ulattices'(sK133,sK17(sK131,sK133,'k8$ufilter$u0'(sK131,sK133)),sK18(sK131,sK133,'k8$ufilter$u0'(sK131,sK133))) = 'k8$ufilter$u0'(sK131,sK133) | ~'l3$ulattices'(sK131) | ~'v10$ulattices'(sK131) | 'v3$ustruct$u0'(sK131), inference(resolution, [status(thm)], [d18,d3])).
% 38.20/5.43 cnf(d20, plain, 'g3$ulattices'(sK133,'k1$urealset1'('u2$ulattices'(sK131),sK133),sK18(sK131,sK133,'k8$ufilter$u0'(sK131,sK133))) = 'k8$ufilter$u0'(sK131,sK133) | ~'l3$ulattices'(sK131) | ~'v10$ulattices'(sK131) | 'v3$ustruct$u0'(sK131), inference(demodulation, [status(thm)], [d19,d17])).
% 38.20/5.43 cnf(d21, plain, 'g3$ulattices'(sK133,'k1$urealset1'('u2$ulattices'(sK131),sK133),'k1$urealset1'('u1$ulattices'(sK131),sK133)) = 'k8$ufilter$u0'(sK131,sK133) | ~'l3$ulattices'(sK131) | ~'v10$ulattices'(sK131) | 'v3$ustruct$u0'(sK131), inference(demodulation, [status(thm)], [d20,d12])).
% 38.20/5.43 cnf(d22, plain, 'g3$ulattices'(sK133,'k1$urealset1'('u2$ulattices'(sK131),sK133),'k1$urealset1'('u1$ulattices'(sK131),sK133)) = 'k8$ufilter$u0'(sK131,sK133) | ~'l3$ulattices'(sK131) | 'v3$ustruct$u0'(sK131), inference(resolution, [status(thm)], [c158,d21])).
% 38.20/5.43 cnf(d23, plain, 'g3$ulattices'(sK133,'k1$urealset1'('u2$ulattices'(sK131),sK133),'k1$urealset1'('u1$ulattices'(sK131),sK133)) = 'k8$ufilter$u0'(sK131,sK133) | 'v3$ustruct$u0'(sK131), inference(resolution, [status(thm)], [c159,d22])).
% 38.20/5.43 cnf(d24, plain, 'g3$ulattices'(sK133,'k1$urealset1'('u2$ulattices'(sK131),sK133),'k1$urealset1'('u1$ulattices'(sK131),sK133)) = 'k8$ufilter$u0'(sK131,sK133), inference(resolution, [status(thm)], [c160,d23])).
% 38.20/5.43 cnf(d25, plain, 'g3$ulattices'('u1$ustruct$u0'(sK131),'u2$ulattices'(sK131),'u1$ulattices'(sK131)) != 'g3$ulattices'(X0,X1,X2) | 'u2$ulattices'(sK132) = X1 | ~'v1$ufunct$u1'(X2) | ~'v1$ufunct$u1'(X1) | ~'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X0,X0),X0) | ~'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(X0,X0),X0) | ~'m1$urelset$u1'(X2,'k2$uzfmisc$u1'(X0,X0),X0) | ~'m1$urelset$u1'(X1,'k2$uzfmisc$u1'(X0,X0),X0), inference(superposition, [status(thm)], [c167,c108])).
% 38.20/5.43 cnf(d26, plain, 'u2$ulattices'(sK132) = 'u2$ulattices'(sK131) | ~'v1$ufunct$u1'('u1$ulattices'(sK131)) | ~'v1$ufunct$u1'('u2$ulattices'(sK131)) | ~'v1$ufunct$u2'('u1$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)),'u1$ustruct$u0'(sK131)) | ~'v1$ufunct$u2'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)),'u1$ustruct$u0'(sK131)) | ~'m1$urelset$u1'('u1$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)),'u1$ustruct$u0'(sK131)) | ~'m1$urelset$u1'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)),'u1$ustruct$u0'(sK131)), inference(equality_resolution, [status(thm)], [d25])).
% 38.20/5.43 cnf(d27, plain, 'm1$urelset$u1'('u1$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0)) | ~'l1$ulattices'(X0), inference(resolution, [status(thm)], [c146,c46])).
% 38.20/5.43 cnf(d28, plain, ~'l1$ulattices'(sK131) | 'u2$ulattices'(sK132) = 'u2$ulattices'(sK131) | ~'v1$ufunct$u1'('u2$ulattices'(sK131)) | ~'v1$ufunct$u1'('u1$ulattices'(sK131)) | ~'v1$ufunct$u2'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)),'u1$ustruct$u0'(sK131)) | ~'v1$ufunct$u2'('u1$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)),'u1$ustruct$u0'(sK131)) | ~'m1$urelset$u1'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [d27,d26])).
% 38.20/5.43 cnf(d29, plain, 'l1$ulattices'(sK131), inference(resolution, [status(thm)], [c37,c159])).
% 38.20/5.43 cnf(d30, plain, 'u2$ulattices'(sK132) = 'u2$ulattices'(sK131) | ~'v1$ufunct$u1'('u2$ulattices'(sK131)) | ~'v1$ufunct$u1'('u1$ulattices'(sK131)) | ~'v1$ufunct$u2'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)),'u1$ustruct$u0'(sK131)) | ~'v1$ufunct$u2'('u1$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)),'u1$ustruct$u0'(sK131)) | ~'m1$urelset$u1'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [d29,d28])).
% 38.20/5.43 cnf(d31, plain, 'm1$urelset$u1'('u2$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0)) | ~'l2$ulattices'(X0), inference(resolution, [status(thm)], [c146,c49])).
% 38.20/5.43 cnf(d32, plain, ~'l2$ulattices'(sK131) | 'u2$ulattices'(sK132) = 'u2$ulattices'(sK131) | ~'v1$ufunct$u1'('u2$ulattices'(sK131)) | ~'v1$ufunct$u1'('u1$ulattices'(sK131)) | ~'v1$ufunct$u2'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)),'u1$ustruct$u0'(sK131)) | ~'v1$ufunct$u2'('u1$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [d31,d30])).
% 38.20/5.43 cnf(d33, plain, 'l2$ulattices'(sK131), inference(resolution, [status(thm)], [c38,c159])).
% 38.20/5.43 cnf(d34, plain, 'u2$ulattices'(sK132) = 'u2$ulattices'(sK131) | ~'v1$ufunct$u1'('u2$ulattices'(sK131)) | ~'v1$ufunct$u1'('u1$ulattices'(sK131)) | ~'v1$ufunct$u2'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)),'u1$ustruct$u0'(sK131)) | ~'v1$ufunct$u2'('u1$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [d33,d32])).
% 38.20/5.43 cnf(d35, plain, 'u2$ulattices'(sK132) = 'u2$ulattices'(sK131) | ~'v1$ufunct$u1'('u2$ulattices'(sK131)) | ~'v1$ufunct$u1'('u1$ulattices'(sK131)) | ~'v1$ufunct$u2'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)),'u1$ustruct$u0'(sK131)) | ~'l1$ulattices'(sK131), inference(resolution, [status(thm)], [d34,c47])).
% 38.20/5.43 cnf(d36, plain, 'u2$ulattices'(sK132) = 'u2$ulattices'(sK131) | ~'v1$ufunct$u1'('u2$ulattices'(sK131)) | ~'v1$ufunct$u1'('u1$ulattices'(sK131)) | ~'v1$ufunct$u2'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [d29,d35])).
% 38.20/5.43 cnf(d37, plain, 'u2$ulattices'(sK132) = 'u2$ulattices'(sK131) | ~'v1$ufunct$u1'('u2$ulattices'(sK131)) | ~'v1$ufunct$u1'('u1$ulattices'(sK131)) | ~'l2$ulattices'(sK131), inference(resolution, [status(thm)], [d36,c50])).
% 38.20/5.43 cnf(d38, plain, 'u2$ulattices'(sK132) = 'u2$ulattices'(sK131) | ~'v1$ufunct$u1'('u2$ulattices'(sK131)) | ~'v1$ufunct$u1'('u1$ulattices'(sK131)), inference(resolution, [status(thm)], [d33,d37])).
% 38.20/5.43 cnf(d39, plain, 'u2$ulattices'(sK132) = 'u2$ulattices'(sK131) | ~'v1$ufunct$u1'('u2$ulattices'(sK131)) | ~'Ts82'(sK131), inference(resolution, [status(thm)], [d38,c105])).
% 38.20/5.43 cnf(d40, plain, 'v3$ustruct$u0'(sK131) | ~'v7$ulattices'(sK131) | 'Ts82'(sK131), inference(resolution, [status(thm)], [c100,d29])).
% 38.20/5.43 cnf(d41, plain, ~'v7$ulattices'(sK131) | 'Ts82'(sK131), inference(resolution, [status(thm)], [c160,d40])).
% 38.20/5.43 cnf(d42, plain, ~'l3$ulattices'(sK131) | 'v3$ustruct$u0'(sK131) | 'Ts4'(sK131), inference(resolution, [status(thm)], [c3,c158])).
% 38.20/5.43 cnf(d43, plain, 'v3$ustruct$u0'(sK131) | 'Ts4'(sK131), inference(resolution, [status(thm)], [c159,d42])).
% 38.20/5.43 cnf(d44, plain, 'Ts4'(sK131), inference(resolution, [status(thm)], [c160,d43])).
% 38.20/5.43 cnf(d45, plain, 'v7$ulattices'(sK131), inference(resolution, [status(thm)], [d44,c6])).
% 38.20/5.43 cnf(d46, plain, 'Ts82'(sK131), inference(resolution, [status(thm)], [d45,d41])).
% 38.20/5.43 cnf(d47, plain, 'u2$ulattices'(sK132) = 'u2$ulattices'(sK131) | ~'v1$ufunct$u1'('u2$ulattices'(sK131)), inference(resolution, [status(thm)], [d46,d39])).
% 38.20/5.43 cnf(d48, plain, 'u2$ulattices'(sK132) = 'u2$ulattices'(sK131) | ~'Ts71'(sK131), inference(resolution, [status(thm)], [d47,c88])).
% 38.20/5.43 cnf(d49, plain, 'v3$ustruct$u0'(sK131) | ~'v5$ulattices'(sK131) | 'Ts71'(sK131), inference(resolution, [status(thm)], [c83,d33])).
% 38.20/5.43 cnf(d50, plain, ~'v5$ulattices'(sK131) | 'Ts71'(sK131), inference(resolution, [status(thm)], [c160,d49])).
% 38.20/5.43 cnf(d51, plain, 'v5$ulattices'(sK131), inference(resolution, [status(thm)], [d44,c5])).
% 38.20/5.43 cnf(d52, plain, 'Ts71'(sK131), inference(resolution, [status(thm)], [d51,d50])).
% 38.20/5.43 cnf(d53, plain, 'u2$ulattices'(sK132) = 'u2$ulattices'(sK131), inference(resolution, [status(thm)], [d52,d48])).
% 38.20/5.43 cnf(d54, plain, 'g3$ulattices'(X0,X1,X2) != 'g3$ulattices'('u1$ustruct$u0'(sK131),'u2$ulattices'(sK131),'u1$ulattices'(sK131)) | X2 = 'u1$ulattices'(sK132) | ~'v1$ufunct$u1'('u1$ulattices'(sK132)) | ~'v1$ufunct$u1'('u2$ulattices'(sK132)) | ~'v1$ufunct$u2'('u1$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'v1$ufunct$u2'('u2$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'m1$urelset$u1'('u1$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'m1$urelset$u1'('u2$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)), inference(superposition, [status(thm)], [c167,c107])).
% 38.20/5.43 cnf(d55, plain, 'u1$ulattices'(sK131) = 'u1$ulattices'(sK132) | ~'v1$ufunct$u1'('u2$ulattices'(sK132)) | ~'v1$ufunct$u1'('u1$ulattices'(sK132)) | ~'v1$ufunct$u2'('u2$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'v1$ufunct$u2'('u1$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'m1$urelset$u1'('u2$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'m1$urelset$u1'('u1$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)), inference(equality_resolution, [status(thm)], [d54])).
% 38.20/5.43 cnf(d56, plain, ~'l1$ulattices'(sK132) | 'u1$ulattices'(sK131) = 'u1$ulattices'(sK132) | ~'v1$ufunct$u1'('u2$ulattices'(sK132)) | ~'v1$ufunct$u1'('u1$ulattices'(sK132)) | ~'v1$ufunct$u2'('u2$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'v1$ufunct$u2'('u1$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'m1$urelset$u1'('u2$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)), inference(resolution, [status(thm)], [d27,d55])).
% 38.20/5.43 cnf(d57, plain, 'u1$ulattices'(sK131) = 'u1$ulattices'(sK132) | ~'v1$ufunct$u1'('u2$ulattices'(sK131)) | ~'v1$ufunct$u1'('u1$ulattices'(sK132)) | ~'v1$ufunct$u2'('u2$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'v1$ufunct$u2'('u1$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'m1$urelset$u1'('u2$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'l1$ulattices'(sK132), inference(demodulation, [status(thm)], [d56,d53])).
% 38.20/5.43 cnf(d58, plain, 'u1$ulattices'(sK131) = 'u1$ulattices'(sK132) | ~'v1$ufunct$u1'('u2$ulattices'(sK131)) | ~'v1$ufunct$u1'('u1$ulattices'(sK132)) | ~'v1$ufunct$u2'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'v1$ufunct$u2'('u1$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'m1$urelset$u1'('u2$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'l1$ulattices'(sK132), inference(demodulation, [status(thm)], [d57,d53])).
% 38.20/5.43 cnf(d59, plain, 'u1$ulattices'(sK131) = 'u1$ulattices'(sK132) | ~'v1$ufunct$u1'('u2$ulattices'(sK131)) | ~'v1$ufunct$u1'('u1$ulattices'(sK132)) | ~'v1$ufunct$u2'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'v1$ufunct$u2'('u1$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'m1$urelset$u1'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'l1$ulattices'(sK132), inference(demodulation, [status(thm)], [d58,d53])).
% 38.20/5.43 cnf(d60, plain, 'l1$ulattices'(sK132), inference(resolution, [status(thm)], [c37,c162])).
% 38.20/5.43 cnf(d61, plain, 'u1$ulattices'(sK131) = 'u1$ulattices'(sK132) | ~'v1$ufunct$u1'('u2$ulattices'(sK131)) | ~'v1$ufunct$u1'('u1$ulattices'(sK132)) | ~'v1$ufunct$u2'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'v1$ufunct$u2'('u1$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'m1$urelset$u1'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)), inference(resolution, [status(thm)], [d60,d59])).
% 38.20/5.43 cnf(d62, plain, 'v1$ufunct$u1'('u2$ulattices'(sK131)) | ~'l2$ulattices'(sK132), inference(superposition, [status(thm)], [d53,c48])).
% 38.20/5.43 cnf(d63, plain, 'l2$ulattices'(sK132), inference(resolution, [status(thm)], [c38,c162])).
% 38.20/5.43 cnf(d64, plain, 'v1$ufunct$u1'('u2$ulattices'(sK131)), inference(resolution, [status(thm)], [d63,d62])).
% 38.20/5.43 cnf(d65, plain, 'u1$ulattices'(sK131) = 'u1$ulattices'(sK132) | ~'v1$ufunct$u1'('u1$ulattices'(sK132)) | ~'v1$ufunct$u2'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'v1$ufunct$u2'('u1$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'m1$urelset$u1'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)), inference(resolution, [status(thm)], [d64,d61])).
% 38.20/5.43 cnf(d66, plain, 'v1$ufunct$u2'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'Ts71'(sK132), inference(superposition, [status(thm)], [d53,c85])).
% 38.20/5.43 cnf(d67, plain, 'v3$ustruct$u0'(sK132) | ~'v5$ulattices'(sK132) | 'Ts71'(sK132), inference(resolution, [status(thm)], [c83,d63])).
% 38.20/5.43 cnf(d68, plain, ~'v5$ulattices'(sK132) | 'Ts71'(sK132), inference(resolution, [status(thm)], [c163,d67])).
% 38.20/5.43 cnf(d69, plain, ~'l3$ulattices'(sK132) | 'v3$ustruct$u0'(sK132) | 'Ts4'(sK132), inference(resolution, [status(thm)], [c3,c161])).
% 38.20/5.43 cnf(d70, plain, 'v3$ustruct$u0'(sK132) | 'Ts4'(sK132), inference(resolution, [status(thm)], [c162,d69])).
% 38.20/5.43 cnf(d71, plain, 'Ts4'(sK132), inference(resolution, [status(thm)], [c163,d70])).
% 38.20/5.43 cnf(d72, plain, 'v5$ulattices'(sK132), inference(resolution, [status(thm)], [d71,c5])).
% 38.20/5.43 cnf(d73, plain, 'Ts71'(sK132), inference(resolution, [status(thm)], [d72,d68])).
% 38.20/5.43 cnf(d74, plain, 'v1$ufunct$u2'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)), inference(resolution, [status(thm)], [d73,d66])).
% 38.20/5.43 cnf(d75, plain, 'u1$ulattices'(sK131) = 'u1$ulattices'(sK132) | ~'v1$ufunct$u1'('u1$ulattices'(sK132)) | ~'v1$ufunct$u2'('u1$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'m1$urelset$u1'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)), inference(resolution, [status(thm)], [d74,d65])).
% 38.20/5.43 cnf(d76, plain, 'm1$urelset$u1'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)) | ~'l2$ulattices'(sK132), inference(superposition, [status(thm)], [d53,d31])).
% 38.20/5.43 cnf(d77, plain, 'm1$urelset$u1'('u2$ulattices'(sK131),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)), inference(resolution, [status(thm)], [d63,d76])).
% 38.20/5.43 cnf(d78, plain, 'u1$ulattices'(sK131) = 'u1$ulattices'(sK132) | ~'v1$ufunct$u1'('u1$ulattices'(sK132)) | ~'v1$ufunct$u2'('u1$ulattices'(sK132),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK132),'u1$ustruct$u0'(sK132)),'u1$ustruct$u0'(sK132)), inference(resolution, [status(thm)], [d77,d75])).
% 38.20/5.43 cnf(d79, plain, 'u1$ulattices'(sK131) = 'u1$ulattices'(sK132) | ~'v1$ufunct$u1'('u1$ulattices'(sK132)) | ~'l1$ulattices'(sK132), inference(resolution, [status(thm)], [d78,c47])).
% 38.20/5.43 cnf(d80, plain, 'u1$ulattices'(sK131) = 'u1$ulattices'(sK132) | ~'v1$ufunct$u1'('u1$ulattices'(sK132)), inference(resolution, [status(thm)], [d60,d79])).
% 38.20/5.43 cnf(d81, plain, 'u1$ulattices'(sK131) = 'u1$ulattices'(sK132) | ~'Ts82'(sK132), inference(resolution, [status(thm)], [d80,c105])).
% 38.20/5.43 cnf(d82, plain, 'v3$ustruct$u0'(sK132) | ~'v7$ulattices'(sK132) | 'Ts82'(sK132), inference(resolution, [status(thm)], [c100,d60])).
% 38.20/5.43 cnf(d83, plain, ~'v7$ulattices'(sK132) | 'Ts82'(sK132), inference(resolution, [status(thm)], [c163,d82])).
% 38.20/5.43 cnf(d84, plain, 'v7$ulattices'(sK132), inference(resolution, [status(thm)], [d71,c6])).
% 38.20/5.43 cnf(d85, plain, 'Ts82'(sK132), inference(resolution, [status(thm)], [d84,d83])).
% 38.20/5.43 cnf(d86, plain, 'u1$ulattices'(sK131) = 'u1$ulattices'(sK132), inference(resolution, [status(thm)], [d85,d81])).
% 38.20/5.43 cnf(d87, plain, 'm1$ufilter$u2'(sK133,sK132), inference(demodulation, [status(thm)], [c165,c168])).
% 38.20/5.43 cnf(d88, plain, ~'l3$ulattices'(sK132) | ~'v10$ulattices'(sK132) | 'v3$ustruct$u0'(sK132) | 'm1$ufilter$u0'(sK133,sK132), inference(resolution, [status(thm)], [c144,d87])).
% 38.20/5.43 cnf(d89, plain, ~'l3$ulattices'(sK132) | 'v3$ustruct$u0'(sK132) | 'm1$ufilter$u0'(sK133,sK132), inference(resolution, [status(thm)], [c161,d88])).
% 38.20/5.43 cnf(d90, plain, 'v3$ustruct$u0'(sK132) | 'm1$ufilter$u0'(sK133,sK132), inference(resolution, [status(thm)], [c162,d89])).
% 38.20/5.43 cnf(d91, plain, 'm1$ufilter$u0'(sK133,sK132), inference(resolution, [status(thm)], [c163,d90])).
% 38.20/5.43 cnf(d92, plain, 'k1$urealset1'('u1$ulattices'(sK132),sK133) = sK18(sK132,sK133,'k8$ufilter$u0'(sK132,sK133)) | ~'l3$ulattices'(sK132) | ~'v10$ulattices'(sK132) | 'v3$ustruct$u0'(sK132), inference(resolution, [status(thm)], [d8,d91])).
% 38.20/5.43 cnf(d93, plain, 'k1$urealset1'('u1$ulattices'(sK132),sK133) = sK18(sK132,sK133,'k8$ufilter$u0'(sK132,sK133)) | ~'l3$ulattices'(sK132) | 'v3$ustruct$u0'(sK132), inference(resolution, [status(thm)], [c161,d92])).
% 38.20/5.43 cnf(d94, plain, 'k1$urealset1'('u1$ulattices'(sK132),sK133) = sK18(sK132,sK133,'k8$ufilter$u0'(sK132,sK133)) | 'v3$ustruct$u0'(sK132), inference(resolution, [status(thm)], [c162,d93])).
% 38.20/5.43 cnf(d95, plain, 'k1$urealset1'('u1$ulattices'(sK132),sK133) = sK18(sK132,sK133,'k8$ufilter$u0'(sK132,sK133)), inference(resolution, [status(thm)], [c163,d94])).
% 38.20/5.43 cnf(d96, plain, 'k1$urealset1'('u1$ulattices'(sK131),sK133) = sK18(sK132,sK133,'k8$ufilter$u0'(sK132,sK133)), inference(demodulation, [status(thm)], [d95,d86])).
% 38.20/5.43 cnf(d97, plain, 'k1$urealset1'('u2$ulattices'(sK132),sK133) = sK17(sK132,sK133,'k8$ufilter$u0'(sK132,sK133)) | ~'l3$ulattices'(sK132) | ~'v10$ulattices'(sK132) | 'v3$ustruct$u0'(sK132), inference(resolution, [status(thm)], [d13,d91])).
% 38.20/5.43 cnf(d98, plain, 'k1$urealset1'('u2$ulattices'(sK131),sK133) = sK17(sK132,sK133,'k8$ufilter$u0'(sK132,sK133)) | ~'l3$ulattices'(sK132) | ~'v10$ulattices'(sK132) | 'v3$ustruct$u0'(sK132), inference(demodulation, [status(thm)], [d97,d53])).
% 38.20/5.43 cnf(d99, plain, 'k1$urealset1'('u2$ulattices'(sK131),sK133) = sK17(sK132,sK133,'k8$ufilter$u0'(sK132,sK133)) | ~'l3$ulattices'(sK132) | 'v3$ustruct$u0'(sK132), inference(resolution, [status(thm)], [c161,d98])).
% 38.20/5.43 cnf(d100, plain, 'k1$urealset1'('u2$ulattices'(sK131),sK133) = sK17(sK132,sK133,'k8$ufilter$u0'(sK132,sK133)) | 'v3$ustruct$u0'(sK132), inference(resolution, [status(thm)], [c162,d99])).
% 38.20/5.43 cnf(d101, plain, 'k1$urealset1'('u2$ulattices'(sK131),sK133) = sK17(sK132,sK133,'k8$ufilter$u0'(sK132,sK133)), inference(resolution, [status(thm)], [c163,d100])).
% 38.20/5.43 cnf(d102, plain, 'g3$ulattices'(sK133,sK17(sK132,sK133,'k8$ufilter$u0'(sK132,sK133)),sK18(sK132,sK133,'k8$ufilter$u0'(sK132,sK133))) = 'k8$ufilter$u0'(sK132,sK133) | ~'l3$ulattices'(sK132) | ~'v10$ulattices'(sK132) | 'v3$ustruct$u0'(sK132), inference(resolution, [status(thm)], [d18,d91])).
% 38.20/5.43 cnf(d103, plain, 'g3$ulattices'(sK133,'k1$urealset1'('u2$ulattices'(sK131),sK133),sK18(sK132,sK133,'k8$ufilter$u0'(sK132,sK133))) = 'k8$ufilter$u0'(sK132,sK133) | ~'l3$ulattices'(sK132) | ~'v10$ulattices'(sK132) | 'v3$ustruct$u0'(sK132), inference(demodulation, [status(thm)], [d102,d101])).
% 38.20/5.43 cnf(d104, plain, 'g3$ulattices'(sK133,'k1$urealset1'('u2$ulattices'(sK131),sK133),'k1$urealset1'('u1$ulattices'(sK131),sK133)) = 'k8$ufilter$u0'(sK132,sK133) | ~'l3$ulattices'(sK132) | ~'v10$ulattices'(sK132) | 'v3$ustruct$u0'(sK132), inference(demodulation, [status(thm)], [d103,d96])).
% 38.20/5.43 cnf(d105, plain, 'k8$ufilter$u0'(sK131,sK133) = 'k8$ufilter$u0'(sK132,sK133) | ~'l3$ulattices'(sK132) | ~'v10$ulattices'(sK132) | 'v3$ustruct$u0'(sK132), inference(demodulation, [status(thm)], [d104,d24])).
% 38.20/5.43 cnf(d106, plain, 'k8$ufilter$u0'(sK131,sK133) = 'k8$ufilter$u0'(sK132,sK133) | ~'l3$ulattices'(sK132) | 'v3$ustruct$u0'(sK132), inference(resolution, [status(thm)], [c161,d105])).
% 38.20/5.43 cnf(d107, plain, 'k8$ufilter$u0'(sK131,sK133) = 'k8$ufilter$u0'(sK132,sK133) | 'v3$ustruct$u0'(sK132), inference(resolution, [status(thm)], [c162,d106])).
% 38.20/5.43 cnf(d108, plain, 'k8$ufilter$u0'(sK131,sK133) = 'k8$ufilter$u0'(sK132,sK133), inference(resolution, [status(thm)], [c163,d107])).
% 38.20/5.43 cnf(d109, plain, 'k8$ufilter$u0'(sK132,sK133) != 'k8$ufilter$u0'(sK131,sK133), inference(demodulation, [status(thm)], [c166,c168])).
% 38.20/5.43 cnf(d110, plain, 'k8$ufilter$u0'(sK131,sK133) != 'k8$ufilter$u0'(sK131,sK133), inference(demodulation, [status(thm)], [d109,d108])).
% 38.20/5.43 cnf(d111, plain, $false, inference(equality_resolution, [status(thm)], [d110])).
% 38.20/5.43 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------