%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT332+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 07:48:21 AM UTC 2026
% Result : Theorem 37.35s 5.30s
% Output : CNFRefutation 37.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT332+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n026.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Fri Sep 25 21:00:56 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.35/5.30 % SZS status Theorem for theBenchmark.p
% 37.35/5.30 % SZS output start CNFRefutation for theBenchmark.p
% 37.35/5.30 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))))))))))).
% 37.35/5.30 fof(cc1_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('m1$usubset$u1'(X2,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1))) => 'v1$urelat$u1'(X2)))).
% 37.35/5.30 fof(d16_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (((~'v1$uxboole$u0'(X1) & 'm2$ulattice4'(X1,X0)) => ! [X2] : (('m2$unat$ulat'(X2,X0) => (X2 = 'k23$ufilter$u2'(X0,X1) <=> ? [X3] : (('v1$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))))))))))))))))))).
% 37.35/5.30 fof(d2_filter_0, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => 'k1$ufilter$u0'(X0) = 'u1$ustruct$u0'(X0)))).
% 37.35/5.30 fof(d3_realset1, axiom, ! [X0] : (('v1$urelat$u1'(X0) => ! [X1] : 'k1$urealset1'(X0,X1) = 'k7$urelat$u1'(X0,'k2$uzfmisc$u1'(X1,X1))))).
% 37.35/5.30 fof(d8_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => 'k17$ufilter$u2'(X0) = 'u1$ustruct$u0'(X0)))).
% 37.35/5.30 fof(dt_k17_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => 'm2$ufilter$u2'('k17$ufilter$u2'(X0),X0)))).
% 37.35/5.30 fof(dt_k1_filter_0, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => 'm1$ufilter$u0'('k1$ufilter$u0'(X0),X0)))).
% 37.35/5.30 fof(dt_k23_filter_2, axiom, ! [X0] : ! [X1] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('l3$ulattices'(X0) & (~'v1$uxboole$u0'(X1) & 'm2$ulattice4'(X1,X0))))) => 'm2$unat$ulat'('k23$ufilter$u2'(X0,X1),X0)))).
% 37.35/5.30 fof(dt_k4_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('m1$urelset$u1'(X2,X0,X1) => 'm1$usubset$u1'('k4$urelset$u1'(X0,X1,X2),'k1$uzfmisc$u1'(X0))))).
% 37.35/5.30 fof(dt_k8_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (('m1$urelset$u1'(X2,X0,X1) => 'm2$urelset$u1'('k8$urelset$u1'(X0,X1,X2,X3),X0,X1)))).
% 37.35/5.30 fof(dt_l3_lattices, axiom, ! [X0] : (('l3$ulattices'(X0) => ('l1$ulattices'(X0) & 'l2$ulattices'(X0))))).
% 37.35/5.30 fof(dt_m1_filter_0, axiom, ! [X0] : (((~'v3$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$u0'(X0))))))))).
% 37.35/5.30 fof(dt_m2_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m2$ufilter$u2'(X1,X0) => (~'v1$uxboole$u0'(X1) & 'm2$ulattice4'(X1,X0))))))).
% 37.35/5.30 fof(dt_m2_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('m2$urelset$u1'(X2,X0,X1) => 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1)))))).
% 37.35/5.30 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))))))).
% 37.35/5.30 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))))))).
% 37.35/5.30 fof(fc2_lattice2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v4$ulattices'(X0) & 'l2$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$u0'(X0)) & ('v1$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))))))))).
% 37.35/5.30 fof(fc4_lattice2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v6$ulattices'(X0) & 'l1$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$u0'(X0)) & ('v1$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))))))))).
% 37.35/5.30 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))))))))).
% 37.35/5.30 fof(redefinition_k1_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => 'k1$ufilter$u2'(X0) = 'k1$ufilter$u0'(X0)))).
% 37.35/5.30 fof(redefinition_k4_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('m1$urelset$u1'(X2,X0,X1) => 'k4$urelset$u1'(X0,X1,X2) = 'k1$urelat$u1'(X2)))).
% 37.35/5.30 fof(redefinition_k8_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (('m1$urelset$u1'(X2,X0,X1) => 'k8$urelset$u1'(X0,X1,X2,X3) = 'k7$urelat$u1'(X2,X3)))).
% 37.35/5.30 fof(redefinition_m2_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('m2$urelset$u1'(X2,X0,X1) <=> 'm1$urelset$u1'(X2,X0,X1)))).
% 37.35/5.30 fof(reflexivity_r1_tarski, axiom, ! [X0] : ! [X1] : 'r1$utarski'(X0,X0)).
% 37.35/5.30 fof(t3_subset, axiom, ! [X0] : ! [X1] : (('m1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) <=> 'r1$utarski'(X0,X1)))).
% 37.35/5.30 fof(t97_relat_1, axiom, ! [X0] : ! [X1] : (('v1$urelat$u1'(X1) => ('r1$utarski'('k1$urelat$u1'(X1),X0) => 'k7$urelat$u1'(X1,X0) = X1)))).
% 37.35/5.30 fof(t72_filter_2, conjecture, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ('k23$ufilter$u2'(X0,'k17$ufilter$u2'(X0)) = 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)) & 'k23$ufilter$u2'(X0,'k1$ufilter$u2'(X0)) = 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)))))).
% 37.35/5.30 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ('k23$ufilter$u2'(X0,'k17$ufilter$u2'(X0)) = 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)) & 'k23$ufilter$u2'(X0,'k1$ufilter$u2'(X0)) = 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0))))), inference(negate_conjecture, [status(cth)], [t72_filter_2])).
% 37.35/5.30 cnf(c3, plain, ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'v10$ulattices'(X0) | X1(X0), inference(clausification, [status(esa)], [cc1_lattices])).
% 37.35/5.30 cnf(c5, plain, ~X0(X1) | 'v4$ulattices'(X1), inference(clausification, [status(esa)], [cc1_lattices])).
% 37.35/5.30 cnf(c7, plain, ~X0(X1) | 'v6$ulattices'(X1), inference(clausification, [status(esa)], [cc1_lattices])).
% 37.35/5.30 cnf(c8, plain, ~X0(X1) | 'v7$ulattices'(X1), inference(clausification, [status(esa)], [cc1_lattices])).
% 37.35/5.30 cnf(c11, plain, ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X2))) | 'v1$urelat$u1'(X0), inference(clausification, [status(esa)], [cc1_relset_1])).
% 37.35/5.30 cnf(c17, plain, ~'m2$ulattice4'(X0,X1) | X2(X1,X0,X3) | ~'v10$ulattices'(X1) | 'v1$uxboole$u0'(X0) | ~'l3$ulattices'(X1) | X3 != 'k23$ufilter$u2'(X1,X0) | ~'m2$unat$ulat'(X3,X1) | 'v3$ustruct$u0'(X1), inference(clausification, [status(esa)], [d16_filter_2])).
% 37.35/5.30 cnf(c25, plain, ~X0(X1,X2,X3) | sK15(X1,X2,X3) = 'k1$urealset1'('u2$ulattices'(X1),X2), inference(clausification, [status(esa)], [d16_filter_2])).
% 37.35/5.30 cnf(c26, plain, ~X0(X1,X2,X3) | sK16(X1,X2,X3) = 'k1$urealset1'('u1$ulattices'(X1),X2), inference(clausification, [status(esa)], [d16_filter_2])).
% 37.35/5.30 cnf(c27, plain, ~X0(X1,X2,X3) | X3 = 'g3$ulattices'(X2,sK15(X1,X2,X3),sK16(X1,X2,X3)), inference(clausification, [status(esa)], [d16_filter_2])).
% 37.35/5.30 cnf(c36, plain, 'v3$ustruct$u0'(X0) | ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | 'k1$ufilter$u0'(X0) = 'u1$ustruct$u0'(X0), inference(clausification, [status(esa)], [d2_filter_0])).
% 37.35/5.30 cnf(c37, plain, ~'v1$urelat$u1'(X0) | 'k1$urealset1'(X0,X1) = 'k7$urelat$u1'(X0,'k2$uzfmisc$u1'(X1,X1)), inference(clausification, [status(esa)], [d3_realset1])).
% 37.35/5.30 cnf(c38, plain, 'v3$ustruct$u0'(X0) | ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | 'k17$ufilter$u2'(X0) = 'u1$ustruct$u0'(X0), inference(clausification, [status(esa)], [d8_filter_2])).
% 37.35/5.30 cnf(c41, plain, 'v3$ustruct$u0'(X0) | ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | 'm2$ufilter$u2'('k17$ufilter$u2'(X0),X0), inference(clausification, [status(esa)], [dt_k17_filter_2])).
% 37.35/5.30 cnf(c42, plain, 'v3$ustruct$u0'(X0) | ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | 'm1$ufilter$u0'('k1$ufilter$u0'(X0),X0), inference(clausification, [status(esa)], [dt_k1_filter_0])).
% 37.35/5.30 cnf(c44, plain, ~'v10$ulattices'(X0) | 'v1$uxboole$u0'(X1) | ~'l3$ulattices'(X0) | ~'m2$ulattice4'(X1,X0) | 'm2$unat$ulat'('k23$ufilter$u2'(X0,X1),X0) | 'v3$ustruct$u0'(X0), inference(clausification, [status(esa)], [dt_k23_filter_2])).
% 37.35/5.30 cnf(c45, plain, ~'m1$urelset$u1'(X0,X1,X2) | 'm1$usubset$u1'('k4$urelset$u1'(X1,X2,X0),'k1$uzfmisc$u1'(X1)), inference(clausification, [status(esa)], [dt_k4_relset_1])).
% 37.35/5.30 cnf(c47, plain, ~'m1$urelset$u1'(X0,X1,X2) | 'm2$urelset$u1'('k8$urelset$u1'(X1,X2,X0,X3),X1,X2), inference(clausification, [status(esa)], [dt_k8_relset_1])).
% 37.35/5.30 cnf(c50, plain, ~'l3$ulattices'(X0) | 'l1$ulattices'(X0), inference(clausification, [status(esa)], [dt_l3_lattices])).
% 37.35/5.30 cnf(c51, plain, ~'l3$ulattices'(X0) | 'l2$ulattices'(X0), inference(clausification, [status(esa)], [dt_l3_lattices])).
% 37.35/5.30 cnf(c52, plain, ~'v10$ulattices'(X0) | ~'m1$ufilter$u0'(X1,X0) | ~'l3$ulattices'(X0) | ~'v1$uxboole$u0'(X1) | 'v3$ustruct$u0'(X0), inference(clausification, [status(esa)], [dt_m1_filter_0])).
% 37.35/5.30 cnf(c57, plain, ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | 'm2$ulattice4'(X1,X0) | 'v3$ustruct$u0'(X0) | ~'m2$ufilter$u2'(X1,X0), inference(clausification, [status(esa)], [dt_m2_filter_2])).
% 37.35/5.30 cnf(c62, plain, ~'m2$urelset$u1'(X0,X1,X2) | 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X2))), inference(clausification, [status(esa)], [dt_m2_relset_1])).
% 37.35/5.30 cnf(c65, plain, ~'l1$ulattices'(X0) | 'm2$urelset$u1'('u1$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [dt_u1_lattices])).
% 37.35/5.30 cnf(c68, plain, ~'l2$ulattices'(X0) | 'm2$urelset$u1'('u2$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [dt_u2_lattices])).
% 37.35/5.30 cnf(c85, plain, 'v3$ustruct$u0'(X0) | ~'v4$ulattices'(X0) | ~'l2$ulattices'(X0) | X1(X0), inference(clausification, [status(esa)], [fc2_lattice2])).
% 37.35/5.30 cnf(c86, plain, ~X0(X1) | 'v1$urelat$u1'('u2$ulattices'(X1)), inference(clausification, [status(esa)], [fc2_lattice2])).
% 37.35/5.30 cnf(c103, plain, 'v3$ustruct$u0'(X0) | ~'v6$ulattices'(X0) | ~'l1$ulattices'(X0) | X1(X0), inference(clausification, [status(esa)], [fc4_lattice2])).
% 37.35/5.30 cnf(c104, plain, ~X0(X1) | 'v1$urelat$u1'('u1$ulattices'(X1)), inference(clausification, [status(esa)], [fc4_lattice2])).
% 37.35/5.30 cnf(c120, plain, 'v3$ustruct$u0'(X0) | ~'v7$ulattices'(X0) | ~'l1$ulattices'(X0) | X1(X0), inference(clausification, [status(esa)], [fc5_lattice2])).
% 37.35/5.30 cnf(c121, plain, ~X0(X1) | 'v1$urelat$u1'('u1$ulattices'(X1)), inference(clausification, [status(esa)], [fc5_lattice2])).
% 37.35/5.30 cnf(c175, plain, 'v3$ustruct$u0'(X0) | ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | 'k1$ufilter$u2'(X0) = 'k1$ufilter$u0'(X0), inference(clausification, [status(esa)], [redefinition_k1_filter_2])).
% 37.35/5.30 cnf(c176, plain, ~'m1$urelset$u1'(X0,X1,X2) | 'k4$urelset$u1'(X1,X2,X0) = 'k1$urelat$u1'(X0), inference(clausification, [status(esa)], [redefinition_k4_relset_1])).
% 37.35/5.30 cnf(c177, plain, ~'m1$urelset$u1'(X0,X1,X2) | 'k8$urelset$u1'(X1,X2,X0,X3) = 'k7$urelat$u1'(X0,X3), inference(clausification, [status(esa)], [redefinition_k8_relset_1])).
% 37.35/5.30 cnf(c180, plain, ~'m2$urelset$u1'(X0,X1,X2) | 'm1$urelset$u1'(X0,X1,X2), inference(clausification, [status(esa)], [redefinition_m2_relset_1])).
% 37.35/5.30 cnf(c185, plain, 'r1$utarski'(X0,X0), inference(clausification, [status(esa)], [reflexivity_r1_tarski])).
% 37.35/5.30 cnf(c189, plain, ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) | 'r1$utarski'(X0,X1), inference(clausification, [status(esa)], [t3_subset])).
% 37.35/5.30 cnf(c196, plain, ~'v1$urelat$u1'(X0) | ~'r1$utarski'('k1$urelat$u1'(X0),X1) | 'k7$urelat$u1'(X0,X1) = X0, inference(clausification, [status(esa)], [t97_relat_1])).
% 37.35/5.30 cnf(c197, plain, ~'v3$ustruct$u0'(sK177), inference(clausification, [status(esa)], [negated_conjecture])).
% 37.35/5.30 cnf(c198, plain, 'v10$ulattices'(sK177), inference(clausification, [status(esa)], [negated_conjecture])).
% 37.35/5.30 cnf(c199, plain, 'l3$ulattices'(sK177), inference(clausification, [status(esa)], [negated_conjecture])).
% 37.35/5.30 cnf(c200, plain, 'k23$ufilter$u2'(sK177,'k17$ufilter$u2'(sK177)) != 'g3$ulattices'('u1$ustruct$u0'(sK177),'u2$ulattices'(sK177),'u1$ulattices'(sK177)) | 'k23$ufilter$u2'(sK177,'k1$ufilter$u2'(sK177)) != 'g3$ulattices'('u1$ustruct$u0'(sK177),'u2$ulattices'(sK177),'u1$ulattices'(sK177)), inference(clausification, [status(esa)], [negated_conjecture])).
% 37.35/5.30 cnf(d0, plain, 'l1$ulattices'(sK177), inference(resolution, [status(thm)], [c50,c199])).
% 37.35/5.30 cnf(d1, plain, 'v3$ustruct$u0'(sK177) | ~'v6$ulattices'(sK177) | 'Ts99'(sK177), inference(resolution, [status(thm)], [c103,d0])).
% 37.35/5.30 cnf(d2, plain, ~'v6$ulattices'(sK177) | 'Ts99'(sK177), inference(resolution, [status(thm)], [c197,d1])).
% 37.35/5.30 cnf(d3, plain, ~'l3$ulattices'(sK177) | 'v3$ustruct$u0'(sK177) | 'Ts4'(sK177), inference(resolution, [status(thm)], [c3,c198])).
% 37.35/5.30 cnf(d4, plain, ~'l3$ulattices'(sK177) | 'Ts4'(sK177), inference(resolution, [status(thm)], [c197,d3])).
% 37.35/5.30 cnf(d5, plain, 'Ts4'(sK177), inference(resolution, [status(thm)], [c199,d4])).
% 37.35/5.30 cnf(d6, plain, 'v6$ulattices'(sK177), inference(resolution, [status(thm)], [c7,d5])).
% 37.35/5.30 cnf(d7, plain, 'Ts99'(sK177), inference(resolution, [status(thm)], [d6,d2])).
% 37.35/5.30 cnf(d8, plain, ~'Ts99'(X0) | 'k1$urealset1'('u1$ulattices'(X0),X1) = 'k7$urelat$u1'('u1$ulattices'(X0),'k2$uzfmisc$u1'(X1,X1)), inference(resolution, [status(thm)], [c104,c37])).
% 37.35/5.30 cnf(d9, plain, 'k1$urealset1'('u1$ulattices'(sK177),X0) = 'k7$urelat$u1'('u1$ulattices'(sK177),'k2$uzfmisc$u1'(X0,X0)), inference(resolution, [status(thm)], [d8,d7])).
% 37.35/5.30 cnf(d10, plain, 'm1$urelset$u1'('u1$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0)) | ~'l1$ulattices'(X0), inference(resolution, [status(thm)], [c180,c65])).
% 37.35/5.30 cnf(d11, plain, 'r1$utarski'('k4$urelset$u1'(X0,X1,X2),X0) | ~'m1$urelset$u1'(X2,X0,X1), inference(resolution, [status(thm)], [c189,c45])).
% 37.35/5.30 cnf(d12, plain, ~'l1$ulattices'(X0) | 'k4$urelset$u1'('k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0),'u1$ulattices'(X0)) = 'k1$urelat$u1'('u1$ulattices'(X0)), inference(resolution, [status(thm)], [d10,c176])).
% 37.35/5.30 cnf(d13, plain, 'k4$urelset$u1'('k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177),'u1$ulattices'(sK177)) = 'k1$urelat$u1'('u1$ulattices'(sK177)), inference(resolution, [status(thm)], [d12,d0])).
% 37.35/5.30 cnf(d14, plain, 'r1$utarski'('k1$urelat$u1'('u1$ulattices'(sK177)),'k2$uzfmisc$u1'('u1$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(superposition, [status(thm)], [d13,d11])).
% 37.35/5.30 cnf(d15, plain, 'r1$utarski'('k1$urelat$u1'('u1$ulattices'(sK177)),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177))) | ~'l1$ulattices'(sK177), inference(resolution, [status(thm)], [d14,d10])).
% 37.35/5.30 cnf(d16, plain, 'r1$utarski'('k1$urelat$u1'('u1$ulattices'(sK177)),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177))), inference(resolution, [status(thm)], [d0,d15])).
% 37.35/5.30 cnf(d17, plain, 'k7$urelat$u1'('u1$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177))) = 'u1$ulattices'(sK177) | ~'v1$urelat$u1'('u1$ulattices'(sK177)), inference(resolution, [status(thm)], [d16,c196])).
% 37.35/5.30 cnf(d18, plain, 'k1$urealset1'('u1$ulattices'(sK177),'u1$ustruct$u0'(sK177)) = 'u1$ulattices'(sK177) | ~'v1$urelat$u1'('u1$ulattices'(sK177)), inference(demodulation, [status(thm)], [d17,d9])).
% 37.35/5.30 cnf(d19, plain, 'k1$urealset1'('u1$ulattices'(sK177),'u1$ustruct$u0'(sK177)) = 'u1$ulattices'(sK177) | ~'Ts106'(sK177), inference(resolution, [status(thm)], [d18,c121])).
% 37.35/5.30 cnf(d20, plain, 'v3$ustruct$u0'(sK177) | ~'v7$ulattices'(sK177) | 'Ts106'(sK177), inference(resolution, [status(thm)], [c120,d0])).
% 37.35/5.30 cnf(d21, plain, ~'v7$ulattices'(sK177) | 'Ts106'(sK177), inference(resolution, [status(thm)], [c197,d20])).
% 37.35/5.30 cnf(d22, plain, 'v7$ulattices'(sK177), inference(resolution, [status(thm)], [c8,d5])).
% 37.35/5.30 cnf(d23, plain, 'Ts106'(sK177), inference(resolution, [status(thm)], [d22,d21])).
% 37.35/5.30 cnf(d24, plain, 'k1$urealset1'('u1$ulattices'(sK177),'u1$ustruct$u0'(sK177)) = 'u1$ulattices'(sK177), inference(resolution, [status(thm)], [d23,d19])).
% 37.35/5.30 cnf(d25, plain, 'k17$ufilter$u2'(sK177) = 'u1$ustruct$u0'(sK177) | ~'l3$ulattices'(sK177) | 'v3$ustruct$u0'(sK177), inference(resolution, [status(thm)], [c38,c198])).
% 37.35/5.30 cnf(d26, plain, 'k17$ufilter$u2'(sK177) = 'u1$ustruct$u0'(sK177) | ~'l3$ulattices'(sK177), inference(resolution, [status(thm)], [c197,d25])).
% 37.35/5.30 cnf(d27, plain, 'k17$ufilter$u2'(sK177) = 'u1$ustruct$u0'(sK177), inference(resolution, [status(thm)], [c199,d26])).
% 37.35/5.30 cnf(d28, plain, 'm2$ufilter$u2'('u1$ustruct$u0'(sK177),sK177) | ~'l3$ulattices'(sK177) | ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177), inference(superposition, [status(thm)], [d27,c41])).
% 37.35/5.30 cnf(d29, plain, ~'l3$ulattices'(sK177) | ~'v10$ulattices'(sK177) | 'm2$ufilter$u2'('u1$ustruct$u0'(sK177),sK177), inference(resolution, [status(thm)], [c197,d28])).
% 37.35/5.30 cnf(d30, plain, ~'l3$ulattices'(sK177) | 'm2$ufilter$u2'('u1$ustruct$u0'(sK177),sK177), inference(resolution, [status(thm)], [c198,d29])).
% 37.35/5.30 cnf(d31, plain, 'm2$ufilter$u2'('u1$ustruct$u0'(sK177),sK177), inference(resolution, [status(thm)], [c199,d30])).
% 37.35/5.30 cnf(d32, plain, ~'l3$ulattices'(sK177) | ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177) | 'm2$ulattice4'('u1$ustruct$u0'(sK177),sK177), inference(resolution, [status(thm)], [c57,d31])).
% 37.35/5.30 cnf(d33, plain, ~'l3$ulattices'(sK177) | ~'v10$ulattices'(sK177) | 'm2$ulattice4'('u1$ustruct$u0'(sK177),sK177), inference(resolution, [status(thm)], [c197,d32])).
% 37.35/5.30 cnf(d34, plain, ~'l3$ulattices'(sK177) | 'm2$ulattice4'('u1$ustruct$u0'(sK177),sK177), inference(resolution, [status(thm)], [c198,d33])).
% 37.35/5.30 cnf(d35, plain, 'm2$ulattice4'('u1$ustruct$u0'(sK177),sK177), inference(resolution, [status(thm)], [c199,d34])).
% 37.35/5.30 cnf(d36, plain, ~'l3$ulattices'(X0) | 'v1$uxboole$u0'(X1) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m2$ulattice4'(X1,X0) | ~'m2$unat$ulat'('k23$ufilter$u2'(X0,X1),X0) | 'Ts11'(X0,X1,'k23$ufilter$u2'(X0,X1)), inference(equality_resolution, [status(thm)], [c17])).
% 37.35/5.30 cnf(d37, plain, ~'l3$ulattices'(X0) | 'v1$uxboole$u0'(X1) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m2$ulattice4'(X1,X0) | ~'m2$unat$ulat'('k23$ufilter$u2'(X0,X1),X0) | sK16(X0,X1,'k23$ufilter$u2'(X0,X1)) = 'k1$urealset1'('u1$ulattices'(X0),X1), inference(resolution, [status(thm)], [d36,c26])).
% 37.35/5.30 cnf(d38, plain, sK16(X0,X1,'k23$ufilter$u2'(X0,X1)) = 'k1$urealset1'('u1$ulattices'(X0),X1) | ~'l3$ulattices'(X0) | 'v1$uxboole$u0'(X1) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m2$ulattice4'(X1,X0) | ~'l3$ulattices'(X0) | 'v1$uxboole$u0'(X1) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m2$ulattice4'(X1,X0), inference(resolution, [status(thm)], [d37,c44])).
% 37.35/5.30 cnf(d39, plain, sK16(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177))) = 'k1$urealset1'('u1$ulattices'(sK177),'u1$ustruct$u0'(sK177)) | ~'l3$ulattices'(sK177) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK177)) | ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177), inference(resolution, [status(thm)], [d38,d35])).
% 37.35/5.30 cnf(d40, plain, sK16(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177))) = 'u1$ulattices'(sK177) | ~'l3$ulattices'(sK177) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK177)) | ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177), inference(demodulation, [status(thm)], [d39,d24])).
% 37.35/5.30 cnf(d41, plain, sK16(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177))) = 'u1$ulattices'(sK177) | ~'l3$ulattices'(sK177) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK177)) | ~'v10$ulattices'(sK177), inference(resolution, [status(thm)], [c197,d40])).
% 37.35/5.30 cnf(d42, plain, sK16(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177))) = 'u1$ulattices'(sK177) | ~'l3$ulattices'(sK177) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c198,d41])).
% 37.35/5.30 cnf(d43, plain, sK16(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177))) = 'u1$ulattices'(sK177) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c199,d42])).
% 37.35/5.30 cnf(d44, plain, 'k1$ufilter$u0'(sK177) = 'u1$ustruct$u0'(sK177) | ~'l3$ulattices'(sK177) | 'v3$ustruct$u0'(sK177), inference(resolution, [status(thm)], [c36,c198])).
% 37.35/5.30 cnf(d45, plain, 'k1$ufilter$u0'(sK177) = 'u1$ustruct$u0'(sK177) | ~'l3$ulattices'(sK177), inference(resolution, [status(thm)], [c197,d44])).
% 37.35/5.30 cnf(d46, plain, 'k1$ufilter$u0'(sK177) = 'u1$ustruct$u0'(sK177), inference(resolution, [status(thm)], [c199,d45])).
% 37.35/5.30 cnf(d47, plain, 'm1$ufilter$u0'('u1$ustruct$u0'(sK177),sK177) | ~'l3$ulattices'(sK177) | ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177), inference(superposition, [status(thm)], [d46,c42])).
% 37.35/5.30 cnf(d48, plain, ~'l3$ulattices'(sK177) | ~'v10$ulattices'(sK177) | 'm1$ufilter$u0'('u1$ustruct$u0'(sK177),sK177), inference(resolution, [status(thm)], [c197,d47])).
% 37.35/5.30 cnf(d49, plain, ~'l3$ulattices'(sK177) | 'm1$ufilter$u0'('u1$ustruct$u0'(sK177),sK177), inference(resolution, [status(thm)], [c198,d48])).
% 37.35/5.30 cnf(d50, plain, 'm1$ufilter$u0'('u1$ustruct$u0'(sK177),sK177), inference(resolution, [status(thm)], [c199,d49])).
% 37.35/5.30 cnf(d51, plain, ~'l3$ulattices'(sK177) | ~'v1$uxboole$u0'('u1$ustruct$u0'(sK177)) | ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177), inference(resolution, [status(thm)], [c52,d50])).
% 37.35/5.30 cnf(d52, plain, ~'l3$ulattices'(sK177) | ~'v1$uxboole$u0'('u1$ustruct$u0'(sK177)) | ~'v10$ulattices'(sK177), inference(resolution, [status(thm)], [c197,d51])).
% 37.35/5.30 cnf(d53, plain, ~'l3$ulattices'(sK177) | ~'v1$uxboole$u0'('u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c198,d52])).
% 37.35/5.30 cnf(d54, plain, ~'v1$uxboole$u0'('u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c199,d53])).
% 37.35/5.30 cnf(d55, plain, sK16(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177))) = 'u1$ulattices'(sK177), inference(resolution, [status(thm)], [d54,d43])).
% 37.35/5.30 cnf(d56, plain, 'l2$ulattices'(sK177), inference(resolution, [status(thm)], [c51,c199])).
% 37.35/5.30 cnf(d57, plain, 'v3$ustruct$u0'(sK177) | ~'v4$ulattices'(sK177) | 'Ts88'(sK177), inference(resolution, [status(thm)], [c85,d56])).
% 37.35/5.30 cnf(d58, plain, ~'v4$ulattices'(sK177) | 'Ts88'(sK177), inference(resolution, [status(thm)], [c197,d57])).
% 37.35/5.30 cnf(d59, plain, 'v4$ulattices'(sK177), inference(resolution, [status(thm)], [c5,d5])).
% 37.35/5.30 cnf(d60, plain, 'Ts88'(sK177), inference(resolution, [status(thm)], [d59,d58])).
% 37.35/5.30 cnf(d61, plain, ~'Ts88'(X0) | 'k1$urealset1'('u2$ulattices'(X0),X1) = 'k7$urelat$u1'('u2$ulattices'(X0),'k2$uzfmisc$u1'(X1,X1)), inference(resolution, [status(thm)], [c86,c37])).
% 37.35/5.30 cnf(d62, plain, 'k1$urealset1'('u2$ulattices'(sK177),X0) = 'k7$urelat$u1'('u2$ulattices'(sK177),'k2$uzfmisc$u1'(X0,X0)), inference(resolution, [status(thm)], [d61,d60])).
% 37.35/5.30 cnf(d63, plain, 'm1$urelset$u1'('u2$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0)) | ~'l2$ulattices'(X0), inference(resolution, [status(thm)], [c180,c68])).
% 37.35/5.30 cnf(d64, plain, ~'l2$ulattices'(X0) | 'k4$urelset$u1'('k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0),'u2$ulattices'(X0)) = 'k1$urelat$u1'('u2$ulattices'(X0)), inference(resolution, [status(thm)], [d63,c176])).
% 37.35/5.30 cnf(d65, plain, 'k4$urelset$u1'('k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177),'u2$ulattices'(sK177)) = 'k1$urelat$u1'('u2$ulattices'(sK177)), inference(resolution, [status(thm)], [d64,d56])).
% 37.35/5.30 cnf(d66, plain, 'r1$utarski'('k1$urelat$u1'('u2$ulattices'(sK177)),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177))) | ~'m1$urelset$u1'('u2$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)), inference(superposition, [status(thm)], [d65,d11])).
% 37.35/5.30 cnf(d67, plain, 'r1$utarski'('k1$urelat$u1'('u2$ulattices'(sK177)),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177))) | ~'l2$ulattices'(sK177), inference(resolution, [status(thm)], [d66,d63])).
% 37.35/5.30 cnf(d68, plain, 'r1$utarski'('k1$urelat$u1'('u2$ulattices'(sK177)),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177))), inference(resolution, [status(thm)], [d56,d67])).
% 37.35/5.30 cnf(d69, plain, 'k7$urelat$u1'('u2$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177))) = 'u2$ulattices'(sK177) | ~'v1$urelat$u1'('u2$ulattices'(sK177)), inference(resolution, [status(thm)], [d68,c196])).
% 37.35/5.30 cnf(d70, plain, 'k1$urealset1'('u2$ulattices'(sK177),'u1$ustruct$u0'(sK177)) = 'u2$ulattices'(sK177) | ~'v1$urelat$u1'('u2$ulattices'(sK177)), inference(demodulation, [status(thm)], [d69,d62])).
% 37.35/5.30 cnf(d71, plain, ~'m2$urelset$u1'(X0,X1,X2) | 'v1$urelat$u1'(X0), inference(resolution, [status(thm)], [c62,c11])).
% 37.35/5.30 cnf(d72, plain, 'v1$urelat$u1'('k8$urelset$u1'(X0,X1,X2,X3)) | ~'m1$urelset$u1'(X2,X0,X1), inference(resolution, [status(thm)], [d71,c47])).
% 37.35/5.30 cnf(d73, plain, ~'l2$ulattices'(X0) | 'k8$urelset$u1'('k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0),'u2$ulattices'(X0),X1) = 'k7$urelat$u1'('u2$ulattices'(X0),X1), inference(resolution, [status(thm)], [d63,c177])).
% 37.35/5.30 cnf(d74, plain, 'k8$urelset$u1'('k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177),'u2$ulattices'(sK177),X0) = 'k7$urelat$u1'('u2$ulattices'(sK177),X0), inference(resolution, [status(thm)], [d73,d56])).
% 37.35/5.30 cnf(d75, plain, 'v1$urelat$u1'('k7$urelat$u1'('u2$ulattices'(sK177),X0)) | ~'m1$urelset$u1'('u2$ulattices'(sK177),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK177),'u1$ustruct$u0'(sK177)),'u1$ustruct$u0'(sK177)), inference(superposition, [status(thm)], [d74,d72])).
% 37.35/5.30 cnf(d76, plain, 'v1$urelat$u1'('k7$urelat$u1'('u2$ulattices'(sK177),X0)) | ~'l2$ulattices'(sK177), inference(resolution, [status(thm)], [d75,d63])).
% 37.35/5.30 cnf(d77, plain, 'v1$urelat$u1'('k7$urelat$u1'('u2$ulattices'(sK177),X0)), inference(resolution, [status(thm)], [d56,d76])).
% 37.35/5.30 cnf(d78, plain, 'v1$urelat$u1'('u2$ulattices'(X0)) | ~'l2$ulattices'(X0), inference(resolution, [status(thm)], [d71,c68])).
% 37.35/5.30 cnf(d79, plain, 'k7$urelat$u1'(X0,'k1$urelat$u1'(X0)) = X0 | ~'v1$urelat$u1'(X0), inference(resolution, [status(thm)], [c196,c185])).
% 37.35/5.30 cnf(d80, plain, 'k7$urelat$u1'('u2$ulattices'(X0),'k1$urelat$u1'('u2$ulattices'(X0))) = 'u2$ulattices'(X0) | ~'l2$ulattices'(X0), inference(resolution, [status(thm)], [d79,d78])).
% 37.35/5.30 cnf(d81, plain, 'k7$urelat$u1'('u2$ulattices'(sK177),'k1$urelat$u1'('u2$ulattices'(sK177))) = 'u2$ulattices'(sK177), inference(resolution, [status(thm)], [d80,d56])).
% 37.35/5.30 cnf(d82, plain, 'v1$urelat$u1'('u2$ulattices'(sK177)), inference(superposition, [status(thm)], [d81,d77])).
% 37.35/5.30 cnf(d83, plain, 'k1$urealset1'('u2$ulattices'(sK177),'u1$ustruct$u0'(sK177)) = 'u2$ulattices'(sK177), inference(resolution, [status(thm)], [d82,d70])).
% 37.35/5.30 cnf(d84, plain, ~'l3$ulattices'(X0) | 'v1$uxboole$u0'(X1) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m2$ulattice4'(X1,X0) | ~'m2$unat$ulat'('k23$ufilter$u2'(X0,X1),X0) | sK15(X0,X1,'k23$ufilter$u2'(X0,X1)) = 'k1$urealset1'('u2$ulattices'(X0),X1), inference(resolution, [status(thm)], [d36,c25])).
% 37.35/5.30 cnf(d85, plain, sK15(X0,X1,'k23$ufilter$u2'(X0,X1)) = 'k1$urealset1'('u2$ulattices'(X0),X1) | ~'l3$ulattices'(X0) | 'v1$uxboole$u0'(X1) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m2$ulattice4'(X1,X0) | ~'l3$ulattices'(X0) | 'v1$uxboole$u0'(X1) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m2$ulattice4'(X1,X0), inference(resolution, [status(thm)], [d84,c44])).
% 37.35/5.30 cnf(d86, plain, sK15(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177))) = 'k1$urealset1'('u2$ulattices'(sK177),'u1$ustruct$u0'(sK177)) | ~'l3$ulattices'(sK177) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK177)) | ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177), inference(resolution, [status(thm)], [d85,d35])).
% 37.35/5.30 cnf(d87, plain, sK15(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177))) = 'u2$ulattices'(sK177) | ~'l3$ulattices'(sK177) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK177)) | ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177), inference(demodulation, [status(thm)], [d86,d83])).
% 37.35/5.30 cnf(d88, plain, sK15(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177))) = 'u2$ulattices'(sK177) | ~'l3$ulattices'(sK177) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK177)) | ~'v10$ulattices'(sK177), inference(resolution, [status(thm)], [c197,d87])).
% 37.35/5.30 cnf(d89, plain, sK15(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177))) = 'u2$ulattices'(sK177) | ~'l3$ulattices'(sK177) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c198,d88])).
% 37.35/5.30 cnf(d90, plain, sK15(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177))) = 'u2$ulattices'(sK177) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c199,d89])).
% 37.35/5.30 cnf(d91, plain, sK15(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177))) = 'u2$ulattices'(sK177), inference(resolution, [status(thm)], [d54,d90])).
% 37.35/5.30 cnf(d92, plain, ~'l3$ulattices'(X0) | 'v1$uxboole$u0'(X1) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m2$ulattice4'(X1,X0) | ~'m2$unat$ulat'('k23$ufilter$u2'(X0,X1),X0) | 'k23$ufilter$u2'(X0,X1) = 'g3$ulattices'(X1,sK15(X0,X1,'k23$ufilter$u2'(X0,X1)),sK16(X0,X1,'k23$ufilter$u2'(X0,X1))), inference(resolution, [status(thm)], [d36,c27])).
% 37.35/5.30 cnf(d93, plain, 'k23$ufilter$u2'(X0,X1) = 'g3$ulattices'(X1,sK15(X0,X1,'k23$ufilter$u2'(X0,X1)),sK16(X0,X1,'k23$ufilter$u2'(X0,X1))) | ~'l3$ulattices'(X0) | 'v1$uxboole$u0'(X1) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m2$ulattice4'(X1,X0) | ~'l3$ulattices'(X0) | 'v1$uxboole$u0'(X1) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m2$ulattice4'(X1,X0), inference(resolution, [status(thm)], [d92,c44])).
% 37.35/5.30 cnf(d94, plain, 'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177)) = 'g3$ulattices'('u1$ustruct$u0'(sK177),sK15(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177))),sK16(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177)))) | ~'l3$ulattices'(sK177) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK177)) | ~'v10$ulattices'(sK177) | 'v3$ustruct$u0'(sK177), inference(resolution, [status(thm)], [d93,d35])).
% 37.35/5.30 cnf(d95, plain, 'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177)) = 'g3$ulattices'('u1$ustruct$u0'(sK177),sK15(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177))),sK16(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177)))) | ~'l3$ulattices'(sK177) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK177)) | ~'v10$ulattices'(sK177), inference(resolution, [status(thm)], [c197,d94])).
% 37.35/5.30 cnf(d96, plain, 'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177)) = 'g3$ulattices'('u1$ustruct$u0'(sK177),sK15(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177))),sK16(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177)))) | ~'l3$ulattices'(sK177) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c198,d95])).
% 37.35/5.30 cnf(d97, plain, 'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177)) = 'g3$ulattices'('u1$ustruct$u0'(sK177),sK15(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177))),sK16(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177)))) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK177)), inference(resolution, [status(thm)], [c199,d96])).
% 37.35/5.30 cnf(d98, plain, 'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177)) = 'g3$ulattices'('u1$ustruct$u0'(sK177),sK15(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177))),sK16(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177)))), inference(resolution, [status(thm)], [d54,d97])).
% 37.35/5.30 cnf(d99, plain, 'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177)) = 'g3$ulattices'('u1$ustruct$u0'(sK177),'u2$ulattices'(sK177),sK16(sK177,'u1$ustruct$u0'(sK177),'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177)))), inference(demodulation, [status(thm)], [d98,d91])).
% 37.35/5.30 cnf(d100, plain, 'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177)) = 'g3$ulattices'('u1$ustruct$u0'(sK177),'u2$ulattices'(sK177),'u1$ulattices'(sK177)), inference(demodulation, [status(thm)], [d99,d55])).
% 37.35/5.30 cnf(d101, plain, 'k1$ufilter$u2'(sK177) = 'k1$ufilter$u0'(sK177) | ~'l3$ulattices'(sK177) | 'v3$ustruct$u0'(sK177), inference(resolution, [status(thm)], [c175,c198])).
% 37.35/5.30 cnf(d102, plain, 'k1$ufilter$u2'(sK177) = 'u1$ustruct$u0'(sK177) | ~'l3$ulattices'(sK177) | 'v3$ustruct$u0'(sK177), inference(demodulation, [status(thm)], [d101,d46])).
% 37.35/5.30 cnf(d103, plain, 'k1$ufilter$u2'(sK177) = 'u1$ustruct$u0'(sK177) | ~'l3$ulattices'(sK177), inference(resolution, [status(thm)], [c197,d102])).
% 37.35/5.30 cnf(d104, plain, 'k1$ufilter$u2'(sK177) = 'u1$ustruct$u0'(sK177), inference(resolution, [status(thm)], [c199,d103])).
% 37.35/5.30 cnf(d105, plain, 'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177)) != 'g3$ulattices'('u1$ustruct$u0'(sK177),'u2$ulattices'(sK177),'u1$ulattices'(sK177)) | 'k23$ufilter$u2'(sK177,'k1$ufilter$u2'(sK177)) != 'g3$ulattices'('u1$ustruct$u0'(sK177),'u2$ulattices'(sK177),'u1$ulattices'(sK177)), inference(demodulation, [status(thm)], [c200,d27])).
% 37.35/5.30 cnf(d106, plain, 'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177)) != 'g3$ulattices'('u1$ustruct$u0'(sK177),'u2$ulattices'(sK177),'u1$ulattices'(sK177)) | 'k23$ufilter$u2'(sK177,'u1$ustruct$u0'(sK177)) != 'g3$ulattices'('u1$ustruct$u0'(sK177),'u2$ulattices'(sK177),'u1$ulattices'(sK177)), inference(demodulation, [status(thm)], [d105,d104])).
% 37.35/5.30 cnf(d107, plain, $false, inference(resolution, [status(thm)], [d106,d100])).
% 37.35/5.30 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------