%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT331+2 : 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 : n012.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 39.56s 6.03s
% Output : CNFRefutation 39.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT331+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Fri Sep 25 20:57:20 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.56/6.03 % SZS status Theorem for theBenchmark.p
% 39.56/6.03 % SZS output start CNFRefutation for theBenchmark.p
% 39.56/6.03 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)))))).
% 39.56/6.03 fof(t6_filter_2, axiom, ! [X0] : (('l3$ulattices'(X0) => ! [X1] : (('l3$ulattices'(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)) => 'k1$ulattice2'(X0) = 'k1$ulattice2'(X1))))))).
% 39.56/6.03 fof(t7_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => 'k1$ulattice2'('k1$ulattice2'(X0)) = 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0))))).
% 39.56/6.03 fof(abstractness_v3_lattices, axiom, ! [X0] : (('l3$ulattices'(X0) => ('v3$ulattices'(X0) => X0 = 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)))))).
% 39.56/6.03 fof(fc2_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)) & ('v3$ulattices'('k8$ufilter$u0'(X0,X1)) & ('v4$ulattices'('k8$ufilter$u0'(X0,X1)) & ('v5$ulattices'('k8$ufilter$u0'(X0,X1)) & ('v6$ulattices'('k8$ufilter$u0'(X0,X1)) & ('v7$ulattices'('k8$ufilter$u0'(X0,X1)) & ('v8$ulattices'('k8$ufilter$u0'(X0,X1)) & ('v9$ulattices'('k8$ufilter$u0'(X0,X1)) & 'v10$ulattices'('k8$ufilter$u0'(X0,X1))))))))))))).
% 39.56/6.03 fof(t63_filter_0, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$ufilter$u0'(X1,X0) => ('u1$ustruct$u0'('k8$ufilter$u0'(X0,X1)) = X1 & ('u2$ulattices'('k8$ufilter$u0'(X0,X1)) = 'k1$urealset1'('u2$ulattices'(X0),X1) & 'u1$ulattices'('k8$ufilter$u0'(X0,X1)) = 'k1$urealset1'('u1$ulattices'(X0),X1)))))))).
% 39.56/6.03 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))))))).
% 39.56/6.03 fof(t18_lattice2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & 'l3$ulattices'(X0)) => ('u1$ustruct$u0'(X0) = 'u1$ustruct$u0'('k1$ulattice2'(X0)) & ('u2$ulattices'(X0) = 'u1$ulattices'('k1$ulattice2'(X0)) & 'u1$ulattices'(X0) = 'u2$ulattices'('k1$ulattice2'(X0))))))).
% 39.56/6.03 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))))))))))).
% 39.56/6.03 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])).
% 39.56/6.03 cnf(c3, plain, ~'l3$ulattices'(X0) | ~'m1$ufilter$u2'(X1,X0) | 'm1$ufilter$u0'(X1,X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0), inference(clausification, [status(esa)], [redefinition_m1_filter_2])).
% 39.56/6.03 cnf(c5, plain, ~'l3$ulattices'(X0) | ~'l3$ulattices'(X1) | 'k1$ulattice2'(X1) = 'k1$ulattice2'(X0) | 'g3$ulattices'('u1$ustruct$u0'(X1),'u2$ulattices'(X1),'u1$ulattices'(X1)) != 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)), inference(clausification, [status(esa)], [t6_filter_2])).
% 39.56/6.03 cnf(c6, plain, ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)) = 'k1$ulattice2'('k1$ulattice2'(X0)), inference(clausification, [status(esa)], [t7_filter_2])).
% 39.56/6.03 cnf(c17, plain, ~'l3$ulattices'(X0) | 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)) = X0 | ~'v3$ulattices'(X0), inference(clausification, [status(esa)], [abstractness_v3_lattices])).
% 39.56/6.03 cnf(c23, plain, X0(X1,X2) | 'v3$ustruct$u0'(X1) | ~'l3$ulattices'(X1) | ~'m1$ufilter$u0'(X2,X1) | ~'v10$ulattices'(X1), inference(clausification, [status(esa)], [fc2_filter_0])).
% 39.56/6.03 cnf(c32, plain, ~X0(X1,X2) | 'v3$ulattices'('k8$ufilter$u0'(X1,X2)), inference(clausification, [status(esa)], [fc2_filter_0])).
% 39.56/6.03 cnf(c44, plain, ~'m1$ufilter$u0'(X0,X1) | 'v3$ustruct$u0'(X1) | 'u1$ustruct$u0'('k8$ufilter$u0'(X1,X0)) = X0 | ~'v10$ulattices'(X1) | ~'l3$ulattices'(X1), inference(clausification, [status(esa)], [t63_filter_0])).
% 39.56/6.03 cnf(c45, plain, 'k1$urealset1'('u1$ulattices'(X0),X1) = 'u1$ulattices'('k8$ufilter$u0'(X0,X1)) | ~'m1$ufilter$u0'(X1,X0) | 'v3$ustruct$u0'(X0) | ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0), inference(clausification, [status(esa)], [t63_filter_0])).
% 39.56/6.03 cnf(c46, plain, ~'m1$ufilter$u0'(X0,X1) | 'v3$ustruct$u0'(X1) | 'k1$urealset1'('u2$ulattices'(X1),X0) = 'u2$ulattices'('k8$ufilter$u0'(X1,X0)) | ~'v10$ulattices'(X1) | ~'l3$ulattices'(X1), inference(clausification, [status(esa)], [t63_filter_0])).
% 39.56/6.03 cnf(c63, plain, ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | 'l3$ulattices'('k8$ufilter$u0'(X0,X1)) | ~'m1$ufilter$u0'(X1,X0), inference(clausification, [status(esa)], [dt_k8_filter_0])).
% 39.56/6.03 cnf(c67, plain, ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | 'u2$ulattices'('k1$ulattice2'(X0)) = 'u1$ulattices'(X0), inference(clausification, [status(esa)], [t18_lattice2])).
% 39.56/6.03 cnf(c68, plain, ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | 'u1$ulattices'('k1$ulattice2'(X0)) = 'u2$ulattices'(X0), inference(clausification, [status(esa)], [t18_lattice2])).
% 39.56/6.03 cnf(c69, plain, 'v10$ulattices'(sK84), inference(clausification, [status(esa)], [negated_conjecture])).
% 39.56/6.03 cnf(c70, plain, 'l3$ulattices'(sK84), inference(clausification, [status(esa)], [negated_conjecture])).
% 39.56/6.03 cnf(c71, plain, ~'v3$ustruct$u0'(sK84), inference(clausification, [status(esa)], [negated_conjecture])).
% 39.56/6.03 cnf(c72, plain, 'v10$ulattices'(sK85), inference(clausification, [status(esa)], [negated_conjecture])).
% 39.56/6.03 cnf(c73, plain, 'l3$ulattices'(sK85), inference(clausification, [status(esa)], [negated_conjecture])).
% 39.56/6.03 cnf(c74, plain, ~'v3$ustruct$u0'(sK85), inference(clausification, [status(esa)], [negated_conjecture])).
% 39.56/6.03 cnf(c75, plain, 'm1$ufilter$u2'(sK86,sK84), inference(clausification, [status(esa)], [negated_conjecture])).
% 39.56/6.03 cnf(c76, plain, 'm1$ufilter$u2'(sK87,sK85), inference(clausification, [status(esa)], [negated_conjecture])).
% 39.56/6.03 cnf(c77, plain, 'k8$ufilter$u0'(sK85,sK87) != 'k8$ufilter$u0'(sK84,sK86), inference(clausification, [status(esa)], [negated_conjecture])).
% 39.56/6.03 cnf(c78, plain, 'g3$ulattices'('u1$ustruct$u0'(sK85),'u2$ulattices'(sK85),'u1$ulattices'(sK85)) = 'g3$ulattices'('u1$ustruct$u0'(sK84),'u2$ulattices'(sK84),'u1$ulattices'(sK84)), inference(clausification, [status(esa)], [negated_conjecture])).
% 39.56/6.03 cnf(c79, plain, sK87 = sK86, inference(clausification, [status(esa)], [negated_conjecture])).
% 39.56/6.03 cnf(d0, plain, ~'v10$ulattices'(sK84) | ~'m1$ufilter$u2'(X0,sK84) | 'v3$ustruct$u0'(sK84) | 'm1$ufilter$u0'(X0,sK84), inference(resolution, [status(thm)], [c3,c70])).
% 39.56/6.03 cnf(d1, plain, ~'m1$ufilter$u2'(X0,sK84) | 'v3$ustruct$u0'(sK84) | 'm1$ufilter$u0'(X0,sK84), inference(resolution, [status(thm)], [c69,d0])).
% 39.56/6.03 cnf(d2, plain, ~'m1$ufilter$u2'(X0,sK84) | 'm1$ufilter$u0'(X0,sK84), inference(resolution, [status(thm)], [c71,d1])).
% 39.56/6.03 cnf(d3, plain, 'm1$ufilter$u0'(sK86,sK84), inference(resolution, [status(thm)], [d2,c75])).
% 39.56/6.03 cnf(d4, plain, 'k1$urealset1'('u1$ulattices'(sK84),X0) = 'u1$ulattices'('k8$ufilter$u0'(sK84,X0)) | ~'v10$ulattices'(sK84) | 'v3$ustruct$u0'(sK84) | ~'m1$ufilter$u0'(X0,sK84), inference(resolution, [status(thm)], [c45,c70])).
% 39.56/6.03 cnf(d5, plain, 'k1$urealset1'('u1$ulattices'(sK84),X0) = 'u1$ulattices'('k8$ufilter$u0'(sK84,X0)) | 'v3$ustruct$u0'(sK84) | ~'m1$ufilter$u0'(X0,sK84), inference(resolution, [status(thm)], [c69,d4])).
% 39.56/6.03 cnf(d6, plain, 'k1$urealset1'('u1$ulattices'(sK84),X0) = 'u1$ulattices'('k8$ufilter$u0'(sK84,X0)) | ~'m1$ufilter$u0'(X0,sK84), inference(resolution, [status(thm)], [c71,d5])).
% 39.56/6.03 cnf(d7, plain, 'k1$urealset1'('u1$ulattices'(sK84),sK86) = 'u1$ulattices'('k8$ufilter$u0'(sK84,sK86)), inference(resolution, [status(thm)], [d6,d3])).
% 39.56/6.03 cnf(d8, plain, 'u2$ulattices'('k1$ulattice2'(sK84)) = 'u1$ulattices'(sK84) | 'v3$ustruct$u0'(sK84), inference(resolution, [status(thm)], [c67,c70])).
% 39.56/6.03 cnf(d9, plain, 'u2$ulattices'('k1$ulattice2'(sK84)) = 'u1$ulattices'(sK84), inference(resolution, [status(thm)], [c71,d8])).
% 39.56/6.03 cnf(d10, plain, 'g3$ulattices'('u1$ustruct$u0'(sK85),'u2$ulattices'(sK85),'u1$ulattices'(sK85)) = 'k1$ulattice2'('k1$ulattice2'(sK85)) | ~'v10$ulattices'(sK85) | 'v3$ustruct$u0'(sK85), inference(resolution, [status(thm)], [c6,c73])).
% 39.56/6.03 cnf(d11, plain, 'g3$ulattices'('u1$ustruct$u0'(sK84),'u2$ulattices'(sK84),'u1$ulattices'(sK84)) = 'k1$ulattice2'('k1$ulattice2'(sK85)) | ~'v10$ulattices'(sK85) | 'v3$ustruct$u0'(sK85), inference(demodulation, [status(thm)], [d10,c78])).
% 39.56/6.03 cnf(d12, plain, 'g3$ulattices'('u1$ustruct$u0'(sK84),'u2$ulattices'(sK84),'u1$ulattices'(sK84)) = 'k1$ulattice2'('k1$ulattice2'(sK85)) | 'v3$ustruct$u0'(sK85), inference(resolution, [status(thm)], [c72,d11])).
% 39.56/6.03 cnf(d13, plain, 'g3$ulattices'('u1$ustruct$u0'(sK84),'u2$ulattices'(sK84),'u1$ulattices'(sK84)) = 'k1$ulattice2'('k1$ulattice2'(sK85)), inference(resolution, [status(thm)], [c74,d12])).
% 39.56/6.03 cnf(d14, plain, 'g3$ulattices'('u1$ustruct$u0'(sK84),'u2$ulattices'(sK84),'u1$ulattices'(sK84)) = 'k1$ulattice2'('k1$ulattice2'(sK84)) | ~'v10$ulattices'(sK84) | 'v3$ustruct$u0'(sK84), inference(resolution, [status(thm)], [c6,c70])).
% 39.56/6.03 cnf(d15, plain, 'k1$ulattice2'('k1$ulattice2'(sK85)) = 'k1$ulattice2'('k1$ulattice2'(sK84)) | ~'v10$ulattices'(sK84) | 'v3$ustruct$u0'(sK84), inference(demodulation, [status(thm)], [d14,d13])).
% 39.56/6.03 cnf(d16, plain, 'k1$ulattice2'('k1$ulattice2'(sK85)) = 'k1$ulattice2'('k1$ulattice2'(sK84)) | 'v3$ustruct$u0'(sK84), inference(resolution, [status(thm)], [c69,d15])).
% 39.56/6.03 cnf(d17, plain, 'k1$ulattice2'('k1$ulattice2'(sK85)) = 'k1$ulattice2'('k1$ulattice2'(sK84)), inference(resolution, [status(thm)], [c71,d16])).
% 39.56/6.03 cnf(d18, plain, 'g3$ulattices'('u1$ustruct$u0'(sK84),'u2$ulattices'(sK84),'u1$ulattices'(sK84)) = 'k1$ulattice2'('k1$ulattice2'(sK84)), inference(demodulation, [status(thm)], [d13,d17])).
% 39.56/6.03 cnf(d19, plain, 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)) != 'g3$ulattices'('u1$ustruct$u0'(sK84),'u2$ulattices'(sK84),'u1$ulattices'(sK84)) | 'k1$ulattice2'(X0) = 'k1$ulattice2'(sK85) | ~'l3$ulattices'(X0) | ~'l3$ulattices'(sK85), inference(superposition, [status(thm)], [c78,c5])).
% 39.56/6.03 cnf(d20, plain, 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)) != 'k1$ulattice2'('k1$ulattice2'(sK84)) | 'k1$ulattice2'(X0) = 'k1$ulattice2'(sK85) | ~'l3$ulattices'(X0) | ~'l3$ulattices'(sK85), inference(demodulation, [status(thm)], [d19,d18])).
% 39.56/6.03 cnf(d21, plain, 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)) != 'k1$ulattice2'('k1$ulattice2'(sK84)) | 'k1$ulattice2'(X0) = 'k1$ulattice2'(sK85) | ~'l3$ulattices'(X0), inference(resolution, [status(thm)], [c73,d20])).
% 39.56/6.03 cnf(d22, plain, 'k1$ulattice2'('k1$ulattice2'(sK84)) != 'k1$ulattice2'('k1$ulattice2'(sK84)) | 'k1$ulattice2'(sK84) = 'k1$ulattice2'(sK85) | ~'l3$ulattices'(sK84), inference(superposition, [status(thm)], [d18,d21])).
% 39.56/6.03 cnf(d23, plain, 'k1$ulattice2'('k1$ulattice2'(sK84)) != 'k1$ulattice2'('k1$ulattice2'(sK84)) | 'k1$ulattice2'(sK84) = 'k1$ulattice2'(sK85), inference(resolution, [status(thm)], [c70,d22])).
% 39.56/6.03 cnf(d24, plain, 'k1$ulattice2'(sK84) = 'k1$ulattice2'(sK85), inference(equality_resolution, [status(thm)], [d23])).
% 39.56/6.03 cnf(d25, plain, 'u2$ulattices'('k1$ulattice2'(sK85)) = 'u1$ulattices'(sK85) | 'v3$ustruct$u0'(sK85), inference(resolution, [status(thm)], [c67,c73])).
% 39.56/6.03 cnf(d26, plain, 'u2$ulattices'('k1$ulattice2'(sK85)) = 'u1$ulattices'(sK85), inference(resolution, [status(thm)], [c74,d25])).
% 39.56/6.03 cnf(d27, plain, 'u2$ulattices'('k1$ulattice2'(sK84)) = 'u1$ulattices'(sK85), inference(demodulation, [status(thm)], [d26,d24])).
% 39.56/6.03 cnf(d28, plain, 'u1$ulattices'(sK84) = 'u1$ulattices'(sK85), inference(demodulation, [status(thm)], [d27,d9])).
% 39.56/6.03 cnf(d29, plain, 'm1$ufilter$u2'(sK86,sK85), inference(demodulation, [status(thm)], [c76,c79])).
% 39.56/6.03 cnf(d30, plain, ~'v10$ulattices'(sK85) | ~'m1$ufilter$u2'(X0,sK85) | 'v3$ustruct$u0'(sK85) | 'm1$ufilter$u0'(X0,sK85), inference(resolution, [status(thm)], [c73,c3])).
% 39.56/6.03 cnf(d31, plain, ~'m1$ufilter$u2'(X0,sK85) | 'v3$ustruct$u0'(sK85) | 'm1$ufilter$u0'(X0,sK85), inference(resolution, [status(thm)], [c72,d30])).
% 39.56/6.03 cnf(d32, plain, ~'m1$ufilter$u2'(X0,sK85) | 'm1$ufilter$u0'(X0,sK85), inference(resolution, [status(thm)], [c74,d31])).
% 39.56/6.03 cnf(d33, plain, 'm1$ufilter$u0'(sK86,sK85), inference(resolution, [status(thm)], [d32,d29])).
% 39.56/6.03 cnf(d34, plain, 'k1$urealset1'('u1$ulattices'(sK85),X0) = 'u1$ulattices'('k8$ufilter$u0'(sK85,X0)) | ~'v10$ulattices'(sK85) | 'v3$ustruct$u0'(sK85) | ~'m1$ufilter$u0'(X0,sK85), inference(resolution, [status(thm)], [c45,c73])).
% 39.56/6.03 cnf(d35, plain, 'k1$urealset1'('u1$ulattices'(sK85),X0) = 'u1$ulattices'('k8$ufilter$u0'(sK85,X0)) | 'v3$ustruct$u0'(sK85) | ~'m1$ufilter$u0'(X0,sK85), inference(resolution, [status(thm)], [c72,d34])).
% 39.56/6.03 cnf(d36, plain, 'k1$urealset1'('u1$ulattices'(sK85),X0) = 'u1$ulattices'('k8$ufilter$u0'(sK85,X0)) | ~'m1$ufilter$u0'(X0,sK85), inference(resolution, [status(thm)], [c74,d35])).
% 39.56/6.03 cnf(d37, plain, 'k1$urealset1'('u1$ulattices'(sK85),sK86) = 'u1$ulattices'('k8$ufilter$u0'(sK85,sK86)), inference(resolution, [status(thm)], [d36,d33])).
% 39.56/6.03 cnf(d38, plain, 'k1$urealset1'('u1$ulattices'(sK84),sK86) = 'u1$ulattices'('k8$ufilter$u0'(sK85,sK86)), inference(demodulation, [status(thm)], [d37,d28])).
% 39.56/6.03 cnf(d39, plain, 'u1$ulattices'('k8$ufilter$u0'(sK84,sK86)) = 'u1$ulattices'('k8$ufilter$u0'(sK85,sK86)), inference(demodulation, [status(thm)], [d38,d7])).
% 39.56/6.03 cnf(d40, plain, 'k1$urealset1'('u2$ulattices'(sK84),X0) = 'u2$ulattices'('k8$ufilter$u0'(sK84,X0)) | ~'v10$ulattices'(sK84) | 'v3$ustruct$u0'(sK84) | ~'m1$ufilter$u0'(X0,sK84), inference(resolution, [status(thm)], [c46,c70])).
% 39.56/6.03 cnf(d41, plain, 'k1$urealset1'('u2$ulattices'(sK84),X0) = 'u2$ulattices'('k8$ufilter$u0'(sK84,X0)) | 'v3$ustruct$u0'(sK84) | ~'m1$ufilter$u0'(X0,sK84), inference(resolution, [status(thm)], [c69,d40])).
% 39.56/6.03 cnf(d42, plain, 'k1$urealset1'('u2$ulattices'(sK84),X0) = 'u2$ulattices'('k8$ufilter$u0'(sK84,X0)) | ~'m1$ufilter$u0'(X0,sK84), inference(resolution, [status(thm)], [c71,d41])).
% 39.56/6.03 cnf(d43, plain, 'k1$urealset1'('u2$ulattices'(sK84),sK86) = 'u2$ulattices'('k8$ufilter$u0'(sK84,sK86)), inference(resolution, [status(thm)], [d42,d3])).
% 39.56/6.03 cnf(d44, plain, 'u1$ulattices'('k1$ulattice2'(sK84)) = 'u2$ulattices'(sK84) | 'v3$ustruct$u0'(sK84), inference(resolution, [status(thm)], [c68,c70])).
% 39.56/6.03 cnf(d45, plain, 'u1$ulattices'('k1$ulattice2'(sK84)) = 'u2$ulattices'(sK84), inference(resolution, [status(thm)], [c71,d44])).
% 39.56/6.03 cnf(d46, plain, 'u1$ulattices'('k1$ulattice2'(sK85)) = 'u2$ulattices'(sK85) | 'v3$ustruct$u0'(sK85), inference(resolution, [status(thm)], [c68,c73])).
% 39.56/6.03 cnf(d47, plain, 'u1$ulattices'('k1$ulattice2'(sK85)) = 'u2$ulattices'(sK85), inference(resolution, [status(thm)], [c74,d46])).
% 39.56/6.03 cnf(d48, plain, 'u1$ulattices'('k1$ulattice2'(sK84)) = 'u2$ulattices'(sK85), inference(demodulation, [status(thm)], [d47,d24])).
% 39.56/6.03 cnf(d49, plain, 'u2$ulattices'(sK84) = 'u2$ulattices'(sK85), inference(demodulation, [status(thm)], [d48,d45])).
% 39.56/6.03 cnf(d50, plain, 'k1$urealset1'('u2$ulattices'(sK85),X0) = 'u2$ulattices'('k8$ufilter$u0'(sK85,X0)) | ~'v10$ulattices'(sK85) | 'v3$ustruct$u0'(sK85) | ~'m1$ufilter$u0'(X0,sK85), inference(resolution, [status(thm)], [c46,c73])).
% 39.56/6.03 cnf(d51, plain, 'k1$urealset1'('u2$ulattices'(sK85),X0) = 'u2$ulattices'('k8$ufilter$u0'(sK85,X0)) | 'v3$ustruct$u0'(sK85) | ~'m1$ufilter$u0'(X0,sK85), inference(resolution, [status(thm)], [c72,d50])).
% 39.56/6.03 cnf(d52, plain, 'k1$urealset1'('u2$ulattices'(sK85),X0) = 'u2$ulattices'('k8$ufilter$u0'(sK85,X0)) | ~'m1$ufilter$u0'(X0,sK85), inference(resolution, [status(thm)], [c74,d51])).
% 39.56/6.03 cnf(d53, plain, 'k1$urealset1'('u2$ulattices'(sK85),sK86) = 'u2$ulattices'('k8$ufilter$u0'(sK85,sK86)), inference(resolution, [status(thm)], [d52,d33])).
% 39.56/6.03 cnf(d54, plain, 'k1$urealset1'('u2$ulattices'(sK84),sK86) = 'u2$ulattices'('k8$ufilter$u0'(sK85,sK86)), inference(demodulation, [status(thm)], [d53,d49])).
% 39.56/6.03 cnf(d55, plain, 'u2$ulattices'('k8$ufilter$u0'(sK84,sK86)) = 'u2$ulattices'('k8$ufilter$u0'(sK85,sK86)), inference(demodulation, [status(thm)], [d54,d43])).
% 39.56/6.03 cnf(d56, plain, 'u1$ustruct$u0'('k8$ufilter$u0'(sK85,X0)) = X0 | ~'v10$ulattices'(sK85) | 'v3$ustruct$u0'(sK85) | ~'m1$ufilter$u0'(X0,sK85), inference(resolution, [status(thm)], [c44,c73])).
% 39.56/6.03 cnf(d57, plain, 'u1$ustruct$u0'('k8$ufilter$u0'(sK85,X0)) = X0 | 'v3$ustruct$u0'(sK85) | ~'m1$ufilter$u0'(X0,sK85), inference(resolution, [status(thm)], [c72,d56])).
% 39.56/6.03 cnf(d58, plain, 'u1$ustruct$u0'('k8$ufilter$u0'(sK85,X0)) = X0 | ~'m1$ufilter$u0'(X0,sK85), inference(resolution, [status(thm)], [c74,d57])).
% 39.56/6.03 cnf(d59, plain, 'u1$ustruct$u0'('k8$ufilter$u0'(sK85,sK86)) = sK86, inference(resolution, [status(thm)], [d58,d33])).
% 39.56/6.03 cnf(d60, plain, 'l3$ulattices'('k8$ufilter$u0'(sK85,X0)) | ~'v10$ulattices'(sK85) | 'v3$ustruct$u0'(sK85) | ~'m1$ufilter$u0'(X0,sK85), inference(resolution, [status(thm)], [c63,c73])).
% 39.56/6.03 cnf(d61, plain, 'l3$ulattices'('k8$ufilter$u0'(sK85,X0)) | 'v3$ustruct$u0'(sK85) | ~'m1$ufilter$u0'(X0,sK85), inference(resolution, [status(thm)], [c72,d60])).
% 39.56/6.03 cnf(d62, plain, 'l3$ulattices'('k8$ufilter$u0'(sK85,X0)) | ~'m1$ufilter$u0'(X0,sK85), inference(resolution, [status(thm)], [c74,d61])).
% 39.56/6.03 cnf(d63, plain, 'l3$ulattices'('k8$ufilter$u0'(sK85,sK86)), inference(resolution, [status(thm)], [d62,d33])).
% 39.56/6.03 cnf(d64, plain, 'g3$ulattices'('u1$ustruct$u0'('k8$ufilter$u0'(sK85,sK86)),'u2$ulattices'('k8$ufilter$u0'(sK85,sK86)),'u1$ulattices'('k8$ufilter$u0'(sK85,sK86))) = 'k8$ufilter$u0'(sK85,sK86) | ~'v3$ulattices'('k8$ufilter$u0'(sK85,sK86)), inference(resolution, [status(thm)], [d63,c17])).
% 39.56/6.03 cnf(d65, plain, 'g3$ulattices'(sK86,'u2$ulattices'('k8$ufilter$u0'(sK85,sK86)),'u1$ulattices'('k8$ufilter$u0'(sK85,sK86))) = 'k8$ufilter$u0'(sK85,sK86) | ~'v3$ulattices'('k8$ufilter$u0'(sK85,sK86)), inference(demodulation, [status(thm)], [d64,d59])).
% 39.56/6.03 cnf(d66, plain, 'g3$ulattices'(sK86,'u2$ulattices'('k8$ufilter$u0'(sK84,sK86)),'u1$ulattices'('k8$ufilter$u0'(sK85,sK86))) = 'k8$ufilter$u0'(sK85,sK86) | ~'v3$ulattices'('k8$ufilter$u0'(sK85,sK86)), inference(demodulation, [status(thm)], [d65,d55])).
% 39.56/6.03 cnf(d67, plain, 'g3$ulattices'(sK86,'u2$ulattices'('k8$ufilter$u0'(sK84,sK86)),'u1$ulattices'('k8$ufilter$u0'(sK84,sK86))) = 'k8$ufilter$u0'(sK85,sK86) | ~'v3$ulattices'('k8$ufilter$u0'(sK85,sK86)), inference(demodulation, [status(thm)], [d66,d39])).
% 39.56/6.03 cnf(d68, plain, ~'v10$ulattices'(sK85) | 'v3$ustruct$u0'(sK85) | ~'m1$ufilter$u0'(X0,sK85) | 'Ts39'(sK85,X0), inference(resolution, [status(thm)], [c23,c73])).
% 39.56/6.03 cnf(d69, plain, 'v3$ustruct$u0'(sK85) | ~'m1$ufilter$u0'(X0,sK85) | 'Ts39'(sK85,X0), inference(resolution, [status(thm)], [c72,d68])).
% 39.56/6.03 cnf(d70, plain, ~'m1$ufilter$u0'(X0,sK85) | 'Ts39'(sK85,X0), inference(resolution, [status(thm)], [c74,d69])).
% 39.56/6.03 cnf(d71, plain, 'Ts39'(sK85,sK86), inference(resolution, [status(thm)], [d70,d33])).
% 39.56/6.03 cnf(d72, plain, 'v3$ulattices'('k8$ufilter$u0'(sK85,sK86)), inference(resolution, [status(thm)], [d71,c32])).
% 39.56/6.03 cnf(d73, plain, 'g3$ulattices'(sK86,'u2$ulattices'('k8$ufilter$u0'(sK84,sK86)),'u1$ulattices'('k8$ufilter$u0'(sK84,sK86))) = 'k8$ufilter$u0'(sK85,sK86), inference(resolution, [status(thm)], [d72,d67])).
% 39.56/6.03 cnf(d74, plain, 'u1$ustruct$u0'('k8$ufilter$u0'(sK84,X0)) = X0 | ~'v10$ulattices'(sK84) | 'v3$ustruct$u0'(sK84) | ~'m1$ufilter$u0'(X0,sK84), inference(resolution, [status(thm)], [c44,c70])).
% 39.56/6.03 cnf(d75, plain, 'u1$ustruct$u0'('k8$ufilter$u0'(sK84,X0)) = X0 | 'v3$ustruct$u0'(sK84) | ~'m1$ufilter$u0'(X0,sK84), inference(resolution, [status(thm)], [c69,d74])).
% 39.56/6.03 cnf(d76, plain, 'u1$ustruct$u0'('k8$ufilter$u0'(sK84,X0)) = X0 | ~'m1$ufilter$u0'(X0,sK84), inference(resolution, [status(thm)], [c71,d75])).
% 39.56/6.03 cnf(d77, plain, 'u1$ustruct$u0'('k8$ufilter$u0'(sK84,sK86)) = sK86, inference(resolution, [status(thm)], [d76,d3])).
% 39.56/6.03 cnf(d78, plain, 'l3$ulattices'('k8$ufilter$u0'(sK84,X0)) | ~'v10$ulattices'(sK84) | 'v3$ustruct$u0'(sK84) | ~'m1$ufilter$u0'(X0,sK84), inference(resolution, [status(thm)], [c63,c70])).
% 39.56/6.03 cnf(d79, plain, 'l3$ulattices'('k8$ufilter$u0'(sK84,X0)) | 'v3$ustruct$u0'(sK84) | ~'m1$ufilter$u0'(X0,sK84), inference(resolution, [status(thm)], [c69,d78])).
% 39.56/6.03 cnf(d80, plain, 'l3$ulattices'('k8$ufilter$u0'(sK84,X0)) | ~'m1$ufilter$u0'(X0,sK84), inference(resolution, [status(thm)], [c71,d79])).
% 39.56/6.03 cnf(d81, plain, 'l3$ulattices'('k8$ufilter$u0'(sK84,sK86)), inference(resolution, [status(thm)], [d80,d3])).
% 39.56/6.03 cnf(d82, plain, 'g3$ulattices'('u1$ustruct$u0'('k8$ufilter$u0'(sK84,sK86)),'u2$ulattices'('k8$ufilter$u0'(sK84,sK86)),'u1$ulattices'('k8$ufilter$u0'(sK84,sK86))) = 'k8$ufilter$u0'(sK84,sK86) | ~'v3$ulattices'('k8$ufilter$u0'(sK84,sK86)), inference(resolution, [status(thm)], [d81,c17])).
% 39.56/6.03 cnf(d83, plain, 'g3$ulattices'(sK86,'u2$ulattices'('k8$ufilter$u0'(sK84,sK86)),'u1$ulattices'('k8$ufilter$u0'(sK84,sK86))) = 'k8$ufilter$u0'(sK84,sK86) | ~'v3$ulattices'('k8$ufilter$u0'(sK84,sK86)), inference(demodulation, [status(thm)], [d82,d77])).
% 39.56/6.03 cnf(d84, plain, 'k8$ufilter$u0'(sK85,sK86) = 'k8$ufilter$u0'(sK84,sK86) | ~'v3$ulattices'('k8$ufilter$u0'(sK84,sK86)), inference(demodulation, [status(thm)], [d83,d73])).
% 39.56/6.03 cnf(d85, plain, 'k8$ufilter$u0'(sK85,sK86) != 'k8$ufilter$u0'(sK84,sK86), inference(demodulation, [status(thm)], [c77,c79])).
% 39.56/6.03 cnf(d86, plain, ~'v3$ulattices'('k8$ufilter$u0'(sK84,sK86)), inference(resolution, [status(thm)], [d85,d84])).
% 39.56/6.03 cnf(d87, plain, ~'v10$ulattices'(sK84) | 'v3$ustruct$u0'(sK84) | ~'m1$ufilter$u0'(X0,sK84) | 'Ts39'(sK84,X0), inference(resolution, [status(thm)], [c23,c70])).
% 39.56/6.03 cnf(d88, plain, 'v3$ustruct$u0'(sK84) | ~'m1$ufilter$u0'(X0,sK84) | 'Ts39'(sK84,X0), inference(resolution, [status(thm)], [c69,d87])).
% 39.56/6.03 cnf(d89, plain, ~'m1$ufilter$u0'(X0,sK84) | 'Ts39'(sK84,X0), inference(resolution, [status(thm)], [c71,d88])).
% 39.56/6.03 cnf(d90, plain, 'Ts39'(sK84,sK86), inference(resolution, [status(thm)], [d89,d3])).
% 39.56/6.03 cnf(d91, plain, 'v3$ulattices'('k8$ufilter$u0'(sK84,sK86)), inference(resolution, [status(thm)], [d90,c32])).
% 39.56/6.03 cnf(d92, plain, $false, inference(resolution, [status(thm)], [d91,d86])).
% 39.56/6.03 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------