%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT323+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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:48:18 AM UTC 2026
% Result : Theorem 35.76s 4.96s
% Output : CNFRefutation 35.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT323+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
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 20:51:48 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.76/4.96 % SZS status Theorem for theBenchmark.p
% 35.76/4.96 % SZS output start CNFRefutation for theBenchmark.p
% 35.76/4.96 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))))).
% 35.76/4.96 fof(d6_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) => 'k7$ufilter$u2'(X0,X1) = X1))))).
% 35.76/4.96 fof(dt_k15_filter_2, axiom, ! [X0] : ! [X1] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('l3$ulattices'(X0) & 'm2$ufilter$u2'(X1,X0)))) => 'm1$ufilter$u2'('k15$ufilter$u2'(X0,X1),'k1$ulattice2'(X0))))).
% 35.76/4.96 fof(dt_k1_lattice2, axiom, ! [X0] : (('l3$ulattices'(X0) => ('v3$ulattices'('k1$ulattice2'(X0)) & 'l3$ulattices'('k1$ulattice2'(X0)))))).
% 35.76/4.96 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$ulattice2'(X0)))))).
% 35.76/4.96 fof(dt_m2_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m2$ufilter$u2'(X1,X0) => (~'v1$uxboole$u0'(X1) & 'm2$ulattice4'(X1,X0))))))).
% 35.76/4.96 fof(dt_m2_lattice4, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m2$ulattice4'(X1,X0) => 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))))))).
% 35.76/4.96 fof(fc4_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('v17$ulattices'(X0) & 'l3$ulattices'(X0)))) => (~'v3$ustruct$u0'('k1$ulattice2'(X0)) & ('v3$ulattices'('k1$ulattice2'(X0)) & ('v4$ulattices'('k1$ulattice2'(X0)) & ('v5$ulattices'('k1$ulattice2'(X0)) & ('v6$ulattices'('k1$ulattice2'(X0)) & ('v7$ulattices'('k1$ulattice2'(X0)) & ('v8$ulattices'('k1$ulattice2'(X0)) & ('v9$ulattices'('k1$ulattice2'(X0)) & ('v10$ulattices'('k1$ulattice2'(X0)) & ('v11$ulattices'('k1$ulattice2'(X0)) & ('v12$ulattices'('k1$ulattice2'(X0)) & ('v13$ulattices'('k1$ulattice2'(X0)) & ('v14$ulattices'('k1$ulattice2'(X0)) & ('v15$ulattices'('k1$ulattice2'(X0)) & ('v16$ulattices'('k1$ulattice2'(X0)) & 'v17$ulattices'('k1$ulattice2'(X0)))))))))))))))))))).
% 35.76/4.96 fof(fc6_lattice2, axiom, ! [X0] : (((~'v3$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))))))))))))).
% 35.76/4.96 fof(l70_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('v17$ulattices'(X0) & 'l3$ulattices'(X0)))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => 'k7$ulattices'('k1$ulattice2'(X0),'k5$ufilter$u2'(X0,X1)) = 'k7$ulattices'(X0,X1)))))).
% 35.76/4.96 fof(redefinition_k15_filter_2, axiom, ! [X0] : ! [X1] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('l3$ulattices'(X0) & 'm2$ufilter$u2'(X1,X0)))) => 'k15$ufilter$u2'(X0,X1) = 'k7$ufilter$u2'(X0,X1)))).
% 35.76/4.96 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)))))).
% 35.76/4.96 fof(t33_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m2$ufilter$u2'(X1,X0) => ('r2$ufilter$u2'(X0,X1) <=> 'v1$ufilter$u0'('k15$ufilter$u2'(X0,X1),'k1$ulattice2'(X0)))))))).
% 35.76/4.96 fof(t59_filter_0, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('v17$ulattices'(X0) & 'l3$ulattices'(X0)))) => ! [X1] : (('m1$ufilter$u0'(X1,X0) => ('v1$ufilter$u0'(X1,X0) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => ('r2$uhidden'(X2,X1) <=> ~'r2$uhidden'('k7$ulattices'(X0,X2),X1)))))))))).
% 35.76/4.96 fof(t59_filter_2, conjecture, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('v17$ulattices'(X0) & 'l3$ulattices'(X0)))) => ! [X1] : (('m2$ufilter$u2'(X1,X0) => ('r2$ufilter$u2'(X0,X1) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => ('r2$uhidden'(X2,X1) <=> ~'r2$uhidden'('k7$ulattices'(X0,X2),X1)))))))))).
% 35.76/4.96 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('v17$ulattices'(X0) & 'l3$ulattices'(X0)))) => ! [X1] : (('m2$ufilter$u2'(X1,X0) => ('r2$ufilter$u2'(X0,X1) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => ('r2$uhidden'(X2,X1) <=> ~'r2$uhidden'('k7$ulattices'(X0,X2),X1))))))))), inference(negate_conjecture, [status(cth)], [t59_filter_2])).
% 35.76/4.96 cnf(c42, plain, ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | 'k5$ufilter$u2'(X0,X1) = X1 | ~'l3$ulattices'(X0), inference(clausification, [status(esa)], [d4_filter_2])).
% 35.76/4.96 cnf(c43, plain, ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'l3$ulattices'(X0) | 'k7$ufilter$u2'(X0,X1) = X1 | ~'m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))), inference(clausification, [status(esa)], [d6_filter_2])).
% 35.76/4.96 cnf(c46, plain, ~'v10$ulattices'(X0) | ~'m2$ufilter$u2'(X1,X0) | 'm1$ufilter$u2'('k15$ufilter$u2'(X0,X1),'k1$ulattice2'(X0)) | 'v3$ustruct$u0'(X0) | ~'l3$ulattices'(X0), inference(clausification, [status(esa)], [dt_k15_filter_2])).
% 35.76/4.96 cnf(c48, plain, ~'l3$ulattices'(X0) | 'l3$ulattices'('k1$ulattice2'(X0)), inference(clausification, [status(esa)], [dt_k1_lattice2])).
% 35.76/4.96 cnf(c49, plain, 'v3$ustruct$u0'(X0) | ~'l3$ulattices'(X0) | 'm1$usubset$u1'('k5$ufilter$u2'(X0,X1),'u1$ustruct$u0'('k1$ulattice2'(X0))) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | ~'v10$ulattices'(X0), inference(clausification, [status(esa)], [dt_k5_filter_2])).
% 35.76/4.96 cnf(c61, plain, ~'m2$ufilter$u2'(X0,X1) | 'v3$ustruct$u0'(X1) | ~'l3$ulattices'(X1) | 'm2$ulattice4'(X0,X1) | ~'v10$ulattices'(X1), inference(clausification, [status(esa)], [dt_m2_filter_2])).
% 35.76/4.96 cnf(c62, plain, ~'l3$ulattices'(X0) | ~'m2$ulattice4'(X1,X0) | ~'v10$ulattices'(X0) | 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) | 'v3$ustruct$u0'(X0), inference(clausification, [status(esa)], [dt_m2_lattice4])).
% 35.76/4.96 cnf(c101, plain, ~'v17$ulattices'(X0) | X1(X0) | ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'v10$ulattices'(X0), inference(clausification, [status(esa)], [fc4_filter_2])).
% 35.76/4.96 cnf(c102, plain, ~X0(X1) | ~'v3$ustruct$u0'('k1$ulattice2'(X1)), inference(clausification, [status(esa)], [fc4_filter_2])).
% 35.76/4.96 cnf(c117, plain, ~X0(X1) | 'v17$ulattices'('k1$ulattice2'(X1)), inference(clausification, [status(esa)], [fc4_filter_2])).
% 35.76/4.96 cnf(c131, plain, 'v3$ustruct$u0'(X0) | ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | X1(X0), inference(clausification, [status(esa)], [fc6_lattice2])).
% 35.76/4.96 cnf(c140, plain, ~X0(X1) | 'v10$ulattices'('k1$ulattice2'(X1)), inference(clausification, [status(esa)], [fc6_lattice2])).
% 35.76/4.96 cnf(c144, plain, ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | ~'v17$ulattices'(X0) | 'k7$ulattices'('k1$ulattice2'(X0),'k5$ufilter$u2'(X0,X1)) = 'k7$ulattices'(X0,X1) | ~'v10$ulattices'(X0), inference(clausification, [status(esa)], [l70_filter_2])).
% 35.76/4.96 cnf(c237, plain, ~'l3$ulattices'(X0) | ~'m2$ufilter$u2'(X1,X0) | 'k15$ufilter$u2'(X0,X1) = 'k7$ufilter$u2'(X0,X1) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0), inference(clausification, [status(esa)], [redefinition_k15_filter_2])).
% 35.76/4.96 cnf(c238, plain, ~'v10$ulattices'(X0) | ~'m1$ufilter$u2'(X1,X0) | 'm1$ufilter$u0'(X1,X0) | 'v3$ustruct$u0'(X0) | ~'l3$ulattices'(X0), inference(clausification, [status(esa)], [redefinition_m1_filter_2])).
% 35.76/4.96 cnf(c245, plain, ~'r2$ufilter$u2'(X0,X1) | 'v3$ustruct$u0'(X0) | 'v1$ufilter$u0'('k15$ufilter$u2'(X0,X1),'k1$ulattice2'(X0)) | ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | ~'m2$ufilter$u2'(X1,X0), inference(clausification, [status(esa)], [t33_filter_2])).
% 35.76/4.96 cnf(c250, plain, ~'r2$uhidden'('k7$ulattices'(X0,X1),X2) | ~'v17$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m1$ufilter$u0'(X2,X0) | ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | ~'v1$ufilter$u0'(X2,X0) | ~'r2$uhidden'(X1,X2), inference(clausification, [status(esa)], [t59_filter_0])).
% 35.76/4.96 cnf(c251, plain, ~'v17$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m1$ufilter$u0'(X1,X0) | ~'l3$ulattices'(X0) | 'r2$uhidden'('k7$ulattices'(X0,X2),X1) | ~'v10$ulattices'(X0) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) | ~'v1$ufilter$u0'(X1,X0) | 'r2$uhidden'(X2,X1), inference(clausification, [status(esa)], [t59_filter_0])).
% 35.76/4.96 cnf(c256, plain, ~'v3$ustruct$u0'(sK153), inference(clausification, [status(esa)], [negated_conjecture])).
% 35.76/4.96 cnf(c257, plain, 'v10$ulattices'(sK153), inference(clausification, [status(esa)], [negated_conjecture])).
% 35.76/4.96 cnf(c258, plain, 'v17$ulattices'(sK153), inference(clausification, [status(esa)], [negated_conjecture])).
% 35.76/4.96 cnf(c259, plain, 'l3$ulattices'(sK153), inference(clausification, [status(esa)], [negated_conjecture])).
% 35.76/4.96 cnf(c260, plain, 'm2$ufilter$u2'(sK154,sK153), inference(clausification, [status(esa)], [negated_conjecture])).
% 35.76/4.96 cnf(c261, plain, 'r2$ufilter$u2'(sK153,sK154), inference(clausification, [status(esa)], [negated_conjecture])).
% 35.76/4.96 cnf(c262, plain, 'm1$usubset$u1'(sK155,'u1$ustruct$u0'(sK153)), inference(clausification, [status(esa)], [negated_conjecture])).
% 35.76/4.96 cnf(c264, plain, 'r2$uhidden'(sK155,sK154) | ~'r2$uhidden'('k7$ulattices'(sK153,sK155),sK154), inference(clausification, [status(esa)], [negated_conjecture])).
% 35.76/4.96 cnf(c265, plain, 'r2$uhidden'('k7$ulattices'(sK153,sK155),sK154) | ~'r2$uhidden'(sK155,sK154), inference(clausification, [status(esa)], [negated_conjecture])).
% 35.76/4.96 cnf(d0, plain, ~'l3$ulattices'(sK153) | ~'v10$ulattices'(sK153) | 'v3$ustruct$u0'(sK153) | 'm2$ulattice4'(sK154,sK153), inference(resolution, [status(thm)], [c61,c260])).
% 35.76/4.96 cnf(d1, plain, ~'l3$ulattices'(sK153) | ~'v10$ulattices'(sK153) | 'm2$ulattice4'(sK154,sK153), inference(resolution, [status(thm)], [c256,d0])).
% 35.76/4.96 cnf(d2, plain, ~'l3$ulattices'(sK153) | 'm2$ulattice4'(sK154,sK153), inference(resolution, [status(thm)], [c257,d1])).
% 35.76/4.96 cnf(d3, plain, 'm2$ulattice4'(sK154,sK153), inference(resolution, [status(thm)], [c259,d2])).
% 35.76/4.96 cnf(d4, plain, ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m2$ulattice4'(X1,X0) | 'k7$ufilter$u2'(X0,X1) = X1 | ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0), inference(resolution, [status(thm)], [c62,c43])).
% 35.76/4.96 cnf(d5, plain, 'k7$ufilter$u2'(sK153,sK154) = sK154 | ~'l3$ulattices'(sK153) | ~'v10$ulattices'(sK153) | 'v3$ustruct$u0'(sK153), inference(resolution, [status(thm)], [d4,d3])).
% 35.76/4.96 cnf(d6, plain, 'k7$ufilter$u2'(sK153,sK154) = sK154 | ~'l3$ulattices'(sK153) | ~'v10$ulattices'(sK153), inference(resolution, [status(thm)], [c256,d5])).
% 35.76/4.96 cnf(d7, plain, 'k7$ufilter$u2'(sK153,sK154) = sK154 | ~'l3$ulattices'(sK153), inference(resolution, [status(thm)], [c257,d6])).
% 35.76/4.96 cnf(d8, plain, 'k7$ufilter$u2'(sK153,sK154) = sK154, inference(resolution, [status(thm)], [c259,d7])).
% 35.76/4.96 cnf(d9, plain, 'k15$ufilter$u2'(sK153,sK154) = 'k7$ufilter$u2'(sK153,sK154) | ~'l3$ulattices'(sK153) | ~'v10$ulattices'(sK153) | 'v3$ustruct$u0'(sK153), inference(resolution, [status(thm)], [c237,c260])).
% 35.76/4.96 cnf(d10, plain, 'k15$ufilter$u2'(sK153,sK154) = 'k7$ufilter$u2'(sK153,sK154) | ~'l3$ulattices'(sK153) | ~'v10$ulattices'(sK153), inference(resolution, [status(thm)], [c256,d9])).
% 35.76/4.96 cnf(d11, plain, 'k15$ufilter$u2'(sK153,sK154) = 'k7$ufilter$u2'(sK153,sK154) | ~'l3$ulattices'(sK153), inference(resolution, [status(thm)], [c257,d10])).
% 35.76/4.96 cnf(d12, plain, 'k15$ufilter$u2'(sK153,sK154) = 'k7$ufilter$u2'(sK153,sK154), inference(resolution, [status(thm)], [c259,d11])).
% 35.76/4.96 cnf(d13, plain, 'm1$ufilter$u2'('k7$ufilter$u2'(sK153,sK154),'k1$ulattice2'(sK153)) | ~'l3$ulattices'(sK153) | ~'v10$ulattices'(sK153) | 'v3$ustruct$u0'(sK153) | ~'m2$ufilter$u2'(sK154,sK153), inference(superposition, [status(thm)], [d12,c46])).
% 35.76/4.96 cnf(d14, plain, ~'l3$ulattices'(sK153) | ~'v10$ulattices'(sK153) | ~'m2$ufilter$u2'(sK154,sK153) | 'm1$ufilter$u2'('k7$ufilter$u2'(sK153,sK154),'k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [c256,d13])).
% 35.76/4.96 cnf(d15, plain, ~'l3$ulattices'(sK153) | ~'m2$ufilter$u2'(sK154,sK153) | 'm1$ufilter$u2'('k7$ufilter$u2'(sK153,sK154),'k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [c257,d14])).
% 35.76/4.96 cnf(d16, plain, ~'m2$ufilter$u2'(sK154,sK153) | 'm1$ufilter$u2'('k7$ufilter$u2'(sK153,sK154),'k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [c259,d15])).
% 35.76/4.96 cnf(d17, plain, 'm1$ufilter$u2'('k7$ufilter$u2'(sK153,sK154),'k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [c260,d16])).
% 35.76/4.96 cnf(d18, plain, ~'l3$ulattices'('k1$ulattice2'(sK153)) | ~'v10$ulattices'('k1$ulattice2'(sK153)) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)) | 'm1$ufilter$u0'('k7$ufilter$u2'(sK153,sK154),'k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [d17,c238])).
% 35.76/4.96 cnf(d19, plain, ~'l3$ulattices'('k1$ulattice2'(sK153)) | ~'v10$ulattices'('k1$ulattice2'(sK153)) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)) | 'm1$ufilter$u0'(sK154,'k1$ulattice2'(sK153)), inference(demodulation, [status(thm)], [d18,d8])).
% 35.76/4.96 cnf(d20, plain, 'k5$ufilter$u2'(sK153,sK155) = sK155 | ~'l3$ulattices'(sK153) | ~'v10$ulattices'(sK153) | 'v3$ustruct$u0'(sK153), inference(resolution, [status(thm)], [c42,c262])).
% 35.76/4.96 cnf(d21, plain, 'k5$ufilter$u2'(sK153,sK155) = sK155 | ~'l3$ulattices'(sK153) | ~'v10$ulattices'(sK153), inference(resolution, [status(thm)], [c256,d20])).
% 35.76/4.96 cnf(d22, plain, 'k5$ufilter$u2'(sK153,sK155) = sK155 | ~'l3$ulattices'(sK153), inference(resolution, [status(thm)], [c257,d21])).
% 35.76/4.96 cnf(d23, plain, 'k5$ufilter$u2'(sK153,sK155) = sK155, inference(resolution, [status(thm)], [c259,d22])).
% 35.76/4.96 cnf(d24, plain, 'k7$ulattices'('k1$ulattice2'(sK153),'k5$ufilter$u2'(sK153,sK155)) = 'k7$ulattices'(sK153,sK155) | ~'l3$ulattices'(sK153) | ~'v10$ulattices'(sK153) | 'v3$ustruct$u0'(sK153) | ~'v17$ulattices'(sK153), inference(resolution, [status(thm)], [c144,c262])).
% 35.76/4.96 cnf(d25, plain, 'k7$ulattices'('k1$ulattice2'(sK153),sK155) = 'k7$ulattices'(sK153,sK155) | ~'l3$ulattices'(sK153) | ~'v10$ulattices'(sK153) | 'v3$ustruct$u0'(sK153) | ~'v17$ulattices'(sK153), inference(demodulation, [status(thm)], [d24,d23])).
% 35.76/4.96 cnf(d26, plain, 'k7$ulattices'('k1$ulattice2'(sK153),sK155) = 'k7$ulattices'(sK153,sK155) | ~'l3$ulattices'(sK153) | ~'v10$ulattices'(sK153) | ~'v17$ulattices'(sK153), inference(resolution, [status(thm)], [c256,d25])).
% 35.76/4.96 cnf(d27, plain, 'k7$ulattices'('k1$ulattice2'(sK153),sK155) = 'k7$ulattices'(sK153,sK155) | ~'l3$ulattices'(sK153) | ~'v17$ulattices'(sK153), inference(resolution, [status(thm)], [c257,d26])).
% 35.76/4.96 cnf(d28, plain, 'k7$ulattices'('k1$ulattice2'(sK153),sK155) = 'k7$ulattices'(sK153,sK155) | ~'l3$ulattices'(sK153), inference(resolution, [status(thm)], [c258,d27])).
% 35.76/4.96 cnf(d29, plain, 'k7$ulattices'('k1$ulattice2'(sK153),sK155) = 'k7$ulattices'(sK153,sK155), inference(resolution, [status(thm)], [c259,d28])).
% 35.76/4.96 cnf(d30, plain, ~'r2$uhidden'('k7$ulattices'(sK153,sK155),X0) | ~'l3$ulattices'('k1$ulattice2'(sK153)) | ~'r2$uhidden'(sK155,X0) | ~'v10$ulattices'('k1$ulattice2'(sK153)) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)) | ~'m1$usubset$u1'(sK155,'u1$ustruct$u0'('k1$ulattice2'(sK153))) | ~'v17$ulattices'('k1$ulattice2'(sK153)) | ~'m1$ufilter$u0'(X0,'k1$ulattice2'(sK153)) | ~'v1$ufilter$u0'(X0,'k1$ulattice2'(sK153)), inference(superposition, [status(thm)], [d29,c250])).
% 35.76/4.96 cnf(d31, plain, 'm1$usubset$u1'(sK155,'u1$ustruct$u0'('k1$ulattice2'(sK153))) | ~'l3$ulattices'(sK153) | ~'v10$ulattices'(sK153) | 'v3$ustruct$u0'(sK153) | ~'m1$usubset$u1'(sK155,'u1$ustruct$u0'(sK153)), inference(superposition, [status(thm)], [d23,c49])).
% 35.76/4.96 cnf(d32, plain, ~'l3$ulattices'(sK153) | ~'v10$ulattices'(sK153) | 'm1$usubset$u1'(sK155,'u1$ustruct$u0'('k1$ulattice2'(sK153))) | ~'m1$usubset$u1'(sK155,'u1$ustruct$u0'(sK153)), inference(resolution, [status(thm)], [c256,d31])).
% 35.76/4.96 cnf(d33, plain, ~'l3$ulattices'(sK153) | 'm1$usubset$u1'(sK155,'u1$ustruct$u0'('k1$ulattice2'(sK153))) | ~'m1$usubset$u1'(sK155,'u1$ustruct$u0'(sK153)), inference(resolution, [status(thm)], [c257,d32])).
% 35.76/4.96 cnf(d34, plain, 'm1$usubset$u1'(sK155,'u1$ustruct$u0'('k1$ulattice2'(sK153))) | ~'m1$usubset$u1'(sK155,'u1$ustruct$u0'(sK153)), inference(resolution, [status(thm)], [c259,d33])).
% 35.76/4.96 cnf(d35, plain, 'm1$usubset$u1'(sK155,'u1$ustruct$u0'('k1$ulattice2'(sK153))), inference(resolution, [status(thm)], [c262,d34])).
% 35.76/4.96 cnf(d36, plain, ~'l3$ulattices'('k1$ulattice2'(sK153)) | ~'r2$uhidden'('k7$ulattices'(sK153,sK155),X0) | ~'r2$uhidden'(sK155,X0) | ~'v10$ulattices'('k1$ulattice2'(sK153)) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)) | ~'v17$ulattices'('k1$ulattice2'(sK153)) | ~'m1$ufilter$u0'(X0,'k1$ulattice2'(sK153)) | ~'v1$ufilter$u0'(X0,'k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [d35,d30])).
% 35.76/4.96 cnf(d37, plain, ~'l3$ulattices'('k1$ulattice2'(sK153)) | ~'r2$uhidden'(sK155,sK154) | ~'v10$ulattices'('k1$ulattice2'(sK153)) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)) | ~'v17$ulattices'('k1$ulattice2'(sK153)) | ~'m1$ufilter$u0'(sK154,'k1$ulattice2'(sK153)) | ~'v1$ufilter$u0'(sK154,'k1$ulattice2'(sK153)) | ~'r2$uhidden'(sK155,sK154), inference(resolution, [status(thm)], [d36,c265])).
% 35.76/4.96 cnf(d38, plain, 'v1$ufilter$u0'('k7$ufilter$u2'(sK153,sK154),'k1$ulattice2'(sK153)) | ~'l3$ulattices'(sK153) | ~'v10$ulattices'(sK153) | 'v3$ustruct$u0'(sK153) | ~'m2$ufilter$u2'(sK154,sK153) | ~'r2$ufilter$u2'(sK153,sK154), inference(superposition, [status(thm)], [d12,c245])).
% 35.76/4.96 cnf(d39, plain, ~'l3$ulattices'(sK153) | ~'v10$ulattices'(sK153) | ~'m2$ufilter$u2'(sK154,sK153) | ~'r2$ufilter$u2'(sK153,sK154) | 'v1$ufilter$u0'('k7$ufilter$u2'(sK153,sK154),'k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [c256,d38])).
% 35.76/4.96 cnf(d40, plain, ~'l3$ulattices'(sK153) | ~'m2$ufilter$u2'(sK154,sK153) | ~'r2$ufilter$u2'(sK153,sK154) | 'v1$ufilter$u0'('k7$ufilter$u2'(sK153,sK154),'k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [c257,d39])).
% 35.76/4.96 cnf(d41, plain, ~'m2$ufilter$u2'(sK154,sK153) | ~'r2$ufilter$u2'(sK153,sK154) | 'v1$ufilter$u0'('k7$ufilter$u2'(sK153,sK154),'k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [c259,d40])).
% 35.76/4.96 cnf(d42, plain, ~'r2$ufilter$u2'(sK153,sK154) | 'v1$ufilter$u0'('k7$ufilter$u2'(sK153,sK154),'k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [c260,d41])).
% 35.76/4.96 cnf(d43, plain, 'v1$ufilter$u0'('k7$ufilter$u2'(sK153,sK154),'k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [c261,d42])).
% 35.76/4.96 cnf(d44, plain, 'v1$ufilter$u0'(sK154,'k1$ulattice2'(sK153)), inference(demodulation, [status(thm)], [d43,d8])).
% 35.76/4.96 cnf(d45, plain, ~'l3$ulattices'('k1$ulattice2'(sK153)) | ~'r2$uhidden'(sK155,sK154) | ~'v10$ulattices'('k1$ulattice2'(sK153)) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)) | ~'v17$ulattices'('k1$ulattice2'(sK153)) | ~'m1$ufilter$u0'(sK154,'k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [d44,d37])).
% 35.76/4.96 cnf(d46, plain, ~'l3$ulattices'('k1$ulattice2'(sK153)) | ~'r2$uhidden'(sK155,sK154) | ~'v10$ulattices'('k1$ulattice2'(sK153)) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)) | ~'v17$ulattices'('k1$ulattice2'(sK153)) | ~'l3$ulattices'('k1$ulattice2'(sK153)) | ~'v10$ulattices'('k1$ulattice2'(sK153)) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [d45,d19])).
% 35.76/4.96 cnf(d47, plain, ~'l3$ulattices'('k1$ulattice2'(sK153)) | ~'r2$uhidden'(sK155,sK154) | ~'v10$ulattices'('k1$ulattice2'(sK153)) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)) | ~'Ts83'(sK153), inference(resolution, [status(thm)], [d46,c117])).
% 35.76/4.96 cnf(d48, plain, ~'l3$ulattices'(sK153) | ~'v10$ulattices'(sK153) | 'v3$ustruct$u0'(sK153) | 'Ts83'(sK153), inference(resolution, [status(thm)], [c101,c258])).
% 35.76/4.96 cnf(d49, plain, ~'l3$ulattices'(sK153) | ~'v10$ulattices'(sK153) | 'Ts83'(sK153), inference(resolution, [status(thm)], [c256,d48])).
% 35.76/4.96 cnf(d50, plain, ~'l3$ulattices'(sK153) | 'Ts83'(sK153), inference(resolution, [status(thm)], [c257,d49])).
% 35.76/4.96 cnf(d51, plain, 'Ts83'(sK153), inference(resolution, [status(thm)], [c259,d50])).
% 35.76/4.96 cnf(d52, plain, ~'l3$ulattices'('k1$ulattice2'(sK153)) | ~'r2$uhidden'(sK155,sK154) | ~'v10$ulattices'('k1$ulattice2'(sK153)) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [d51,d47])).
% 35.76/4.96 cnf(d53, plain, ~'l3$ulattices'('k1$ulattice2'(sK153)) | ~'r2$uhidden'(sK155,sK154) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)) | ~'Ts91'(sK153), inference(resolution, [status(thm)], [d52,c140])).
% 35.76/4.96 cnf(d54, plain, ~'l3$ulattices'(sK153) | 'v3$ustruct$u0'(sK153) | 'Ts91'(sK153), inference(resolution, [status(thm)], [c131,c257])).
% 35.76/4.96 cnf(d55, plain, ~'l3$ulattices'(sK153) | 'Ts91'(sK153), inference(resolution, [status(thm)], [c256,d54])).
% 35.76/4.96 cnf(d56, plain, 'Ts91'(sK153), inference(resolution, [status(thm)], [c259,d55])).
% 35.76/4.96 cnf(d57, plain, ~'l3$ulattices'('k1$ulattice2'(sK153)) | ~'r2$uhidden'(sK155,sK154) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [d56,d53])).
% 35.76/4.96 cnf(d58, plain, 'r2$uhidden'('k7$ulattices'(sK153,sK155),X0) | ~'l3$ulattices'('k1$ulattice2'(sK153)) | 'r2$uhidden'(sK155,X0) | ~'v10$ulattices'('k1$ulattice2'(sK153)) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)) | ~'m1$usubset$u1'(sK155,'u1$ustruct$u0'('k1$ulattice2'(sK153))) | ~'v17$ulattices'('k1$ulattice2'(sK153)) | ~'m1$ufilter$u0'(X0,'k1$ulattice2'(sK153)) | ~'v1$ufilter$u0'(X0,'k1$ulattice2'(sK153)), inference(superposition, [status(thm)], [d29,c251])).
% 35.76/4.96 cnf(d59, plain, ~'l3$ulattices'('k1$ulattice2'(sK153)) | 'r2$uhidden'('k7$ulattices'(sK153,sK155),X0) | 'r2$uhidden'(sK155,X0) | ~'v10$ulattices'('k1$ulattice2'(sK153)) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)) | ~'v17$ulattices'('k1$ulattice2'(sK153)) | ~'m1$ufilter$u0'(X0,'k1$ulattice2'(sK153)) | ~'v1$ufilter$u0'(X0,'k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [d35,d58])).
% 35.76/4.96 cnf(d60, plain, ~'l3$ulattices'('k1$ulattice2'(sK153)) | 'r2$uhidden'(sK155,sK154) | ~'v10$ulattices'('k1$ulattice2'(sK153)) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)) | ~'v17$ulattices'('k1$ulattice2'(sK153)) | ~'m1$ufilter$u0'(sK154,'k1$ulattice2'(sK153)) | ~'v1$ufilter$u0'(sK154,'k1$ulattice2'(sK153)) | 'r2$uhidden'(sK155,sK154), inference(resolution, [status(thm)], [d59,c264])).
% 35.76/4.96 cnf(d61, plain, ~'l3$ulattices'('k1$ulattice2'(sK153)) | 'r2$uhidden'(sK155,sK154) | ~'v10$ulattices'('k1$ulattice2'(sK153)) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)) | ~'v17$ulattices'('k1$ulattice2'(sK153)) | ~'m1$ufilter$u0'(sK154,'k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [d44,d60])).
% 35.76/4.96 cnf(d62, plain, ~'l3$ulattices'('k1$ulattice2'(sK153)) | 'r2$uhidden'(sK155,sK154) | ~'v10$ulattices'('k1$ulattice2'(sK153)) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)) | ~'v17$ulattices'('k1$ulattice2'(sK153)) | ~'l3$ulattices'('k1$ulattice2'(sK153)) | ~'v10$ulattices'('k1$ulattice2'(sK153)) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [d61,d19])).
% 35.76/4.96 cnf(d63, plain, ~'l3$ulattices'('k1$ulattice2'(sK153)) | 'r2$uhidden'(sK155,sK154) | ~'v10$ulattices'('k1$ulattice2'(sK153)) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)) | ~'Ts83'(sK153), inference(resolution, [status(thm)], [d62,c117])).
% 35.76/4.96 cnf(d64, plain, ~'l3$ulattices'('k1$ulattice2'(sK153)) | 'r2$uhidden'(sK155,sK154) | ~'v10$ulattices'('k1$ulattice2'(sK153)) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [d51,d63])).
% 35.76/4.96 cnf(d65, plain, ~'l3$ulattices'('k1$ulattice2'(sK153)) | 'r2$uhidden'(sK155,sK154) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)) | ~'Ts91'(sK153), inference(resolution, [status(thm)], [d64,c140])).
% 35.76/4.96 cnf(d66, plain, ~'l3$ulattices'('k1$ulattice2'(sK153)) | 'r2$uhidden'(sK155,sK154) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [d56,d65])).
% 35.76/4.96 cnf(d67, plain, 'r2$uhidden'(sK155,sK154) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)) | ~'l3$ulattices'(sK153), inference(resolution, [status(thm)], [d66,c48])).
% 35.76/4.96 cnf(d68, plain, 'r2$uhidden'(sK155,sK154) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [c259,d67])).
% 35.76/4.96 cnf(d69, plain, 'v3$ustruct$u0'('k1$ulattice2'(sK153)) | ~'l3$ulattices'('k1$ulattice2'(sK153)) | 'v3$ustruct$u0'('k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [d68,d57])).
% 35.76/4.96 cnf(d70, plain, 'v3$ustruct$u0'('k1$ulattice2'(sK153)) | ~'l3$ulattices'(sK153), inference(resolution, [status(thm)], [d69,c48])).
% 35.76/4.96 cnf(d71, plain, 'v3$ustruct$u0'('k1$ulattice2'(sK153)), inference(resolution, [status(thm)], [c259,d70])).
% 35.76/4.96 cnf(d72, plain, ~'Ts83'(sK153), inference(resolution, [status(thm)], [d71,c102])).
% 35.76/4.96 cnf(d73, plain, $false, inference(resolution, [status(thm)], [d51,d72])).
% 35.76/4.96 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------