%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT331+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 207.51s 47.80s
% Output : CNFRefutation 207.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT331+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n004.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Fri Sep 25 20:57:58 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 207.51/47.80 % SZS status Theorem for theBenchmark.p
% 207.51/47.80 % SZS output start CNFRefutation for theBenchmark.p
% 207.51/47.80 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)))))).
% 207.51/47.80 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))))))).
% 207.51/47.80 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$ulattices'(X0))))).
% 207.51/47.80 fof(abstractness_v3_lattices, axiom, ! [X0] : (('l3$ulattices'(X0) => ('v3$ulattices'(X0) => X0 = 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)))))).
% 207.51/47.80 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))))))))))))).
% 207.51/47.80 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)))))))).
% 207.51/47.80 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))))))).
% 207.51/47.80 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))))))).
% 207.51/47.80 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))))))))))).
% 207.51/47.80 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])).
% 207.51/47.80 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])).
% 207.51/47.80 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])).
% 207.51/47.80 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$ulattice2'(X0)), inference(clausification, [status(esa)], [t7_filter_2])).
% 207.51/47.80 cnf(c17, plain, ~'l3$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])).
% 207.51/47.80 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])).
% 207.51/47.80 cnf(c32, plain, ~X0(X1,X2) | 'v3$ulattices'('k8$ufilter$u0'(X1,X2)), inference(clausification, [status(esa)], [fc2_filter_0])).
% 207.51/47.80 cnf(c44, plain, ~'m1$ufilter$u0'(X0,X1) | 'v3$ustruct$u0'(X1) | 'u1$ustruct$u0'('k8$ufilter$u0'(X1,X0)) = X0 | ~'v10$ulattices'(X1) | ~'l3$ulattices'(X1), inference(clausification, [status(esa)], [t63_filter_0])).
% 207.51/47.80 cnf(c45, plain, 'k1$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])).
% 207.51/47.80 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$ulattices'(X1), inference(clausification, [status(esa)], [t63_filter_0])).
% 207.51/47.80 cnf(c70, plain, ~'m1$ufilter$u0'(X0,X1) | ~'l3$ulattices'(X1) | 'v3$ustruct$u0'(X1) | ~'v10$ulattices'(X1) | 'l3$ulattices'('k8$ufilter$u0'(X1,X0)), inference(clausification, [status(esa)], [dt_k8_filter_0])).
% 207.51/47.80 cnf(c74, plain, ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | 'u2$ulattices'('k1$ulattice2'(X0)) = 'u1$ulattices'(X0), inference(clausification, [status(esa)], [t18_lattice2])).
% 207.51/47.80 cnf(c75, plain, ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | 'u1$ulattices'('k1$ulattice2'(X0)) = 'u2$ulattices'(X0), inference(clausification, [status(esa)], [t18_lattice2])).
% 207.51/47.80 cnf(c95, plain, 'v10$ulattices'(sK110), inference(clausification, [status(esa)], [negated_conjecture])).
% 207.51/47.80 cnf(c96, plain, 'l3$ulattices'(sK110), inference(clausification, [status(esa)], [negated_conjecture])).
% 207.51/47.80 cnf(c97, plain, ~'v3$ustruct$u0'(sK110), inference(clausification, [status(esa)], [negated_conjecture])).
% 207.51/47.80 cnf(c98, plain, 'v10$ulattices'(sK111), inference(clausification, [status(esa)], [negated_conjecture])).
% 207.51/47.80 cnf(c99, plain, 'l3$ulattices'(sK111), inference(clausification, [status(esa)], [negated_conjecture])).
% 207.51/47.80 cnf(c100, plain, ~'v3$ustruct$u0'(sK111), inference(clausification, [status(esa)], [negated_conjecture])).
% 207.51/47.80 cnf(c101, plain, 'm1$ufilter$u2'(sK112,sK110), inference(clausification, [status(esa)], [negated_conjecture])).
% 207.51/47.80 cnf(c102, plain, 'm1$ufilter$u2'(sK113,sK111), inference(clausification, [status(esa)], [negated_conjecture])).
% 207.51/47.80 cnf(c103, plain, 'k8$ufilter$u0'(sK111,sK113) != 'k8$ufilter$u0'(sK110,sK112), inference(clausification, [status(esa)], [negated_conjecture])).
% 207.51/47.80 cnf(c104, plain, 'g3$ulattices'('u1$ustruct$u0'(sK111),'u2$ulattices'(sK111),'u1$ulattices'(sK111)) = 'g3$ulattices'('u1$ustruct$u0'(sK110),'u2$ulattices'(sK110),'u1$ulattices'(sK110)), inference(clausification, [status(esa)], [negated_conjecture])).
% 207.51/47.80 cnf(c105, plain, sK113 = sK112, inference(clausification, [status(esa)], [negated_conjecture])).
% 207.51/47.80 cnf(d0, plain, ~'v10$ulattices'(sK110) | ~'m1$ufilter$u2'(X0,sK110) | 'v3$ustruct$u0'(sK110) | 'm1$ufilter$u0'(X0,sK110), inference(resolution, [status(thm)], [c3,c96])).
% 207.51/47.80 cnf(d1, plain, ~'m1$ufilter$u2'(X0,sK110) | 'v3$ustruct$u0'(sK110) | 'm1$ufilter$u0'(X0,sK110), inference(resolution, [status(thm)], [c95,d0])).
% 207.51/47.80 cnf(d2, plain, ~'m1$ufilter$u2'(X0,sK110) | 'm1$ufilter$u0'(X0,sK110), inference(resolution, [status(thm)], [c97,d1])).
% 207.51/47.80 cnf(d3, plain, 'm1$ufilter$u0'(sK112,sK110), inference(resolution, [status(thm)], [d2,c101])).
% 207.51/47.80 cnf(d4, plain, 'u1$ustruct$u0'('k8$ufilter$u0'(sK110,X0)) = X0 | ~'v10$ulattices'(sK110) | 'v3$ustruct$u0'(sK110) | ~'m1$ufilter$u0'(X0,sK110), inference(resolution, [status(thm)], [c44,c96])).
% 207.51/47.80 cnf(d5, plain, 'u1$ustruct$u0'('k8$ufilter$u0'(sK110,X0)) = X0 | 'v3$ustruct$u0'(sK110) | ~'m1$ufilter$u0'(X0,sK110), inference(resolution, [status(thm)], [c95,d4])).
% 207.51/47.80 cnf(d6, plain, 'u1$ustruct$u0'('k8$ufilter$u0'(sK110,X0)) = X0 | ~'m1$ufilter$u0'(X0,sK110), inference(resolution, [status(thm)], [c97,d5])).
% 207.51/47.80 cnf(d7, plain, 'u1$ustruct$u0'('k8$ufilter$u0'(sK110,sK112)) = sK112, inference(resolution, [status(thm)], [d6,d3])).
% 207.51/47.80 cnf(d8, plain, 'l3$ulattices'('k8$ufilter$u0'(sK110,X0)) | ~'v10$ulattices'(sK110) | 'v3$ustruct$u0'(sK110) | ~'m1$ufilter$u0'(X0,sK110), inference(resolution, [status(thm)], [c70,c96])).
% 207.51/47.80 cnf(d9, plain, 'l3$ulattices'('k8$ufilter$u0'(sK110,X0)) | 'v3$ustruct$u0'(sK110) | ~'m1$ufilter$u0'(X0,sK110), inference(resolution, [status(thm)], [c95,d8])).
% 207.51/47.80 cnf(d10, plain, 'l3$ulattices'('k8$ufilter$u0'(sK110,X0)) | ~'m1$ufilter$u0'(X0,sK110), inference(resolution, [status(thm)], [c97,d9])).
% 207.51/47.80 cnf(d11, plain, 'l3$ulattices'('k8$ufilter$u0'(sK110,sK112)), inference(resolution, [status(thm)], [d10,d3])).
% 207.51/47.80 cnf(d12, plain, 'g3$ulattices'('u1$ustruct$u0'('k8$ufilter$u0'(sK110,sK112)),'u2$ulattices'('k8$ufilter$u0'(sK110,sK112)),'u1$ulattices'('k8$ufilter$u0'(sK110,sK112))) = 'k8$ufilter$u0'(sK110,sK112) | ~'v3$ulattices'('k8$ufilter$u0'(sK110,sK112)), inference(resolution, [status(thm)], [d11,c17])).
% 207.51/47.80 cnf(d13, plain, 'g3$ulattices'(sK112,'u2$ulattices'('k8$ufilter$u0'(sK110,sK112)),'u1$ulattices'('k8$ufilter$u0'(sK110,sK112))) = 'k8$ufilter$u0'(sK110,sK112) | ~'v3$ulattices'('k8$ufilter$u0'(sK110,sK112)), inference(demodulation, [status(thm)], [d12,d7])).
% 207.51/47.80 cnf(d14, plain, ~'v10$ulattices'(sK110) | 'v3$ustruct$u0'(sK110) | ~'m1$ufilter$u0'(X0,sK110) | 'Ts39'(sK110,X0), inference(resolution, [status(thm)], [c23,c96])).
% 207.51/47.80 cnf(d15, plain, 'v3$ustruct$u0'(sK110) | ~'m1$ufilter$u0'(X0,sK110) | 'Ts39'(sK110,X0), inference(resolution, [status(thm)], [c95,d14])).
% 207.51/47.80 cnf(d16, plain, ~'m1$ufilter$u0'(X0,sK110) | 'Ts39'(sK110,X0), inference(resolution, [status(thm)], [c97,d15])).
% 207.51/47.80 cnf(d17, plain, 'Ts39'(sK110,sK112), inference(resolution, [status(thm)], [d16,d3])).
% 207.51/47.80 cnf(d18, plain, 'v3$ulattices'('k8$ufilter$u0'(sK110,sK112)), inference(resolution, [status(thm)], [d17,c32])).
% 207.51/47.80 cnf(d19, plain, 'g3$ulattices'(sK112,'u2$ulattices'('k8$ufilter$u0'(sK110,sK112)),'u1$ulattices'('k8$ufilter$u0'(sK110,sK112))) = 'k8$ufilter$u0'(sK110,sK112), inference(resolution, [status(thm)], [d18,d13])).
% 207.51/47.80 cnf(d20, plain, 'k1$urealset1'('u1$ulattices'(sK110),X0) = 'u1$ulattices'('k8$ufilter$u0'(sK110,X0)) | ~'v10$ulattices'(sK110) | 'v3$ustruct$u0'(sK110) | ~'m1$ufilter$u0'(X0,sK110), inference(resolution, [status(thm)], [c45,c96])).
% 207.51/47.80 cnf(d21, plain, 'k1$urealset1'('u1$ulattices'(sK110),X0) = 'u1$ulattices'('k8$ufilter$u0'(sK110,X0)) | 'v3$ustruct$u0'(sK110) | ~'m1$ufilter$u0'(X0,sK110), inference(resolution, [status(thm)], [c95,d20])).
% 207.51/47.80 cnf(d22, plain, 'k1$urealset1'('u1$ulattices'(sK110),X0) = 'u1$ulattices'('k8$ufilter$u0'(sK110,X0)) | ~'m1$ufilter$u0'(X0,sK110), inference(resolution, [status(thm)], [c97,d21])).
% 207.51/47.80 cnf(d23, plain, 'k1$urealset1'('u1$ulattices'(sK110),sK112) = 'u1$ulattices'('k8$ufilter$u0'(sK110,sK112)), inference(resolution, [status(thm)], [d22,d3])).
% 207.51/47.80 cnf(d24, plain, 'u2$ulattices'('k1$ulattice2'(sK110)) = 'u1$ulattices'(sK110) | 'v3$ustruct$u0'(sK110), inference(resolution, [status(thm)], [c74,c96])).
% 207.51/47.80 cnf(d25, plain, 'u2$ulattices'('k1$ulattice2'(sK110)) = 'u1$ulattices'(sK110), inference(resolution, [status(thm)], [c97,d24])).
% 207.51/47.80 cnf(d26, plain, 'g3$ulattices'('u1$ustruct$u0'(sK110),'u2$ulattices'(sK110),'u1$ulattices'(sK110)) = 'k1$ulattice2'('k1$ulattice2'(sK110)) | ~'v10$ulattices'(sK110) | 'v3$ustruct$u0'(sK110), inference(resolution, [status(thm)], [c6,c96])).
% 207.51/47.80 cnf(d27, plain, 'g3$ulattices'('u1$ustruct$u0'(sK110),'u2$ulattices'(sK110),'u1$ulattices'(sK110)) = 'k1$ulattice2'('k1$ulattice2'(sK110)) | 'v3$ustruct$u0'(sK110), inference(resolution, [status(thm)], [c95,d26])).
% 207.51/47.80 cnf(d28, plain, 'g3$ulattices'('u1$ustruct$u0'(sK110),'u2$ulattices'(sK110),'u1$ulattices'(sK110)) = 'k1$ulattice2'('k1$ulattice2'(sK110)), inference(resolution, [status(thm)], [c97,d27])).
% 207.51/47.80 cnf(d29, plain, 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)) != 'k1$ulattice2'('k1$ulattice2'(sK110)) | 'k1$ulattice2'(X0) = 'k1$ulattice2'(sK110) | ~'l3$ulattices'(X0) | ~'l3$ulattices'(sK110), inference(superposition, [status(thm)], [d28,c5])).
% 207.51/47.80 cnf(d30, plain, 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)) != 'k1$ulattice2'('k1$ulattice2'(sK110)) | 'k1$ulattice2'(X0) = 'k1$ulattice2'(sK110) | ~'l3$ulattices'(X0), inference(resolution, [status(thm)], [c96,d29])).
% 207.51/47.80 cnf(d31, plain, 'g3$ulattices'('u1$ustruct$u0'(sK111),'u2$ulattices'(sK111),'u1$ulattices'(sK111)) = 'k1$ulattice2'('k1$ulattice2'(sK110)), inference(demodulation, [status(thm)], [c104,d28])).
% 207.51/47.80 cnf(d32, plain, 'k1$ulattice2'('k1$ulattice2'(sK110)) != 'k1$ulattice2'('k1$ulattice2'(sK110)) | 'k1$ulattice2'(sK111) = 'k1$ulattice2'(sK110) | ~'l3$ulattices'(sK111), inference(superposition, [status(thm)], [d31,d30])).
% 207.51/47.80 cnf(d33, plain, 'k1$ulattice2'('k1$ulattice2'(sK110)) != 'k1$ulattice2'('k1$ulattice2'(sK110)) | 'k1$ulattice2'(sK111) = 'k1$ulattice2'(sK110), inference(resolution, [status(thm)], [c99,d32])).
% 207.51/47.80 cnf(d34, plain, 'k1$ulattice2'(sK111) = 'k1$ulattice2'(sK110), inference(equality_resolution, [status(thm)], [d33])).
% 207.51/47.80 cnf(d35, plain, 'u2$ulattices'('k1$ulattice2'(sK111)) = 'u1$ulattices'(sK111) | 'v3$ustruct$u0'(sK111), inference(resolution, [status(thm)], [c74,c99])).
% 207.51/47.80 cnf(d36, plain, 'u2$ulattices'('k1$ulattice2'(sK111)) = 'u1$ulattices'(sK111), inference(resolution, [status(thm)], [c100,d35])).
% 207.51/47.80 cnf(d37, plain, 'u2$ulattices'('k1$ulattice2'(sK110)) = 'u1$ulattices'(sK111), inference(demodulation, [status(thm)], [d36,d34])).
% 207.51/47.80 cnf(d38, plain, 'u1$ulattices'(sK110) = 'u1$ulattices'(sK111), inference(demodulation, [status(thm)], [d37,d25])).
% 207.51/47.80 cnf(d39, plain, 'm1$ufilter$u2'(sK112,sK111), inference(demodulation, [status(thm)], [c102,c105])).
% 207.51/47.80 cnf(d40, plain, ~'v10$ulattices'(sK111) | ~'m1$ufilter$u2'(X0,sK111) | 'v3$ustruct$u0'(sK111) | 'm1$ufilter$u0'(X0,sK111), inference(resolution, [status(thm)], [c99,c3])).
% 207.51/47.80 cnf(d41, plain, ~'m1$ufilter$u2'(X0,sK111) | 'v3$ustruct$u0'(sK111) | 'm1$ufilter$u0'(X0,sK111), inference(resolution, [status(thm)], [c98,d40])).
% 207.51/47.80 cnf(d42, plain, ~'m1$ufilter$u2'(X0,sK111) | 'm1$ufilter$u0'(X0,sK111), inference(resolution, [status(thm)], [c100,d41])).
% 207.51/47.80 cnf(d43, plain, 'm1$ufilter$u0'(sK112,sK111), inference(resolution, [status(thm)], [d42,d39])).
% 207.51/47.80 cnf(d44, plain, 'k1$urealset1'('u1$ulattices'(sK111),X0) = 'u1$ulattices'('k8$ufilter$u0'(sK111,X0)) | ~'v10$ulattices'(sK111) | 'v3$ustruct$u0'(sK111) | ~'m1$ufilter$u0'(X0,sK111), inference(resolution, [status(thm)], [c45,c99])).
% 207.51/47.80 cnf(d45, plain, 'k1$urealset1'('u1$ulattices'(sK111),X0) = 'u1$ulattices'('k8$ufilter$u0'(sK111,X0)) | 'v3$ustruct$u0'(sK111) | ~'m1$ufilter$u0'(X0,sK111), inference(resolution, [status(thm)], [c98,d44])).
% 207.51/47.80 cnf(d46, plain, 'k1$urealset1'('u1$ulattices'(sK111),X0) = 'u1$ulattices'('k8$ufilter$u0'(sK111,X0)) | ~'m1$ufilter$u0'(X0,sK111), inference(resolution, [status(thm)], [c100,d45])).
% 207.51/47.80 cnf(d47, plain, 'k1$urealset1'('u1$ulattices'(sK111),sK112) = 'u1$ulattices'('k8$ufilter$u0'(sK111,sK112)), inference(resolution, [status(thm)], [d46,d43])).
% 207.51/47.80 cnf(d48, plain, 'k1$urealset1'('u1$ulattices'(sK110),sK112) = 'u1$ulattices'('k8$ufilter$u0'(sK111,sK112)), inference(demodulation, [status(thm)], [d47,d38])).
% 207.51/47.80 cnf(d49, plain, 'u1$ulattices'('k8$ufilter$u0'(sK110,sK112)) = 'u1$ulattices'('k8$ufilter$u0'(sK111,sK112)), inference(demodulation, [status(thm)], [d48,d23])).
% 207.51/47.80 cnf(d50, plain, 'k1$urealset1'('u2$ulattices'(sK110),X0) = 'u2$ulattices'('k8$ufilter$u0'(sK110,X0)) | ~'v10$ulattices'(sK110) | 'v3$ustruct$u0'(sK110) | ~'m1$ufilter$u0'(X0,sK110), inference(resolution, [status(thm)], [c46,c96])).
% 207.51/47.80 cnf(d51, plain, 'k1$urealset1'('u2$ulattices'(sK110),X0) = 'u2$ulattices'('k8$ufilter$u0'(sK110,X0)) | 'v3$ustruct$u0'(sK110) | ~'m1$ufilter$u0'(X0,sK110), inference(resolution, [status(thm)], [c95,d50])).
% 207.51/47.80 cnf(d52, plain, 'k1$urealset1'('u2$ulattices'(sK110),X0) = 'u2$ulattices'('k8$ufilter$u0'(sK110,X0)) | ~'m1$ufilter$u0'(X0,sK110), inference(resolution, [status(thm)], [c97,d51])).
% 207.51/47.80 cnf(d53, plain, 'k1$urealset1'('u2$ulattices'(sK110),sK112) = 'u2$ulattices'('k8$ufilter$u0'(sK110,sK112)), inference(resolution, [status(thm)], [d52,d3])).
% 207.51/47.80 cnf(d54, plain, 'u1$ulattices'('k1$ulattice2'(sK110)) = 'u2$ulattices'(sK110) | 'v3$ustruct$u0'(sK110), inference(resolution, [status(thm)], [c75,c96])).
% 207.51/47.80 cnf(d55, plain, 'u1$ulattices'('k1$ulattice2'(sK110)) = 'u2$ulattices'(sK110), inference(resolution, [status(thm)], [c97,d54])).
% 207.51/47.80 cnf(d56, plain, 'u1$ulattices'('k1$ulattice2'(sK111)) = 'u2$ulattices'(sK111) | 'v3$ustruct$u0'(sK111), inference(resolution, [status(thm)], [c75,c99])).
% 207.51/47.80 cnf(d57, plain, 'u1$ulattices'('k1$ulattice2'(sK111)) = 'u2$ulattices'(sK111), inference(resolution, [status(thm)], [c100,d56])).
% 207.51/47.80 cnf(d58, plain, 'u1$ulattices'('k1$ulattice2'(sK110)) = 'u2$ulattices'(sK111), inference(demodulation, [status(thm)], [d57,d34])).
% 207.51/47.80 cnf(d59, plain, 'u2$ulattices'(sK110) = 'u2$ulattices'(sK111), inference(demodulation, [status(thm)], [d58,d55])).
% 207.51/47.80 cnf(d60, plain, 'k1$urealset1'('u2$ulattices'(sK111),X0) = 'u2$ulattices'('k8$ufilter$u0'(sK111,X0)) | ~'v10$ulattices'(sK111) | 'v3$ustruct$u0'(sK111) | ~'m1$ufilter$u0'(X0,sK111), inference(resolution, [status(thm)], [c46,c99])).
% 207.51/47.80 cnf(d61, plain, 'k1$urealset1'('u2$ulattices'(sK111),X0) = 'u2$ulattices'('k8$ufilter$u0'(sK111,X0)) | 'v3$ustruct$u0'(sK111) | ~'m1$ufilter$u0'(X0,sK111), inference(resolution, [status(thm)], [c98,d60])).
% 207.51/47.80 cnf(d62, plain, 'k1$urealset1'('u2$ulattices'(sK111),X0) = 'u2$ulattices'('k8$ufilter$u0'(sK111,X0)) | ~'m1$ufilter$u0'(X0,sK111), inference(resolution, [status(thm)], [c100,d61])).
% 207.51/47.80 cnf(d63, plain, 'k1$urealset1'('u2$ulattices'(sK111),sK112) = 'u2$ulattices'('k8$ufilter$u0'(sK111,sK112)), inference(resolution, [status(thm)], [d62,d43])).
% 207.51/47.80 cnf(d64, plain, 'k1$urealset1'('u2$ulattices'(sK110),sK112) = 'u2$ulattices'('k8$ufilter$u0'(sK111,sK112)), inference(demodulation, [status(thm)], [d63,d59])).
% 207.51/47.80 cnf(d65, plain, 'u2$ulattices'('k8$ufilter$u0'(sK110,sK112)) = 'u2$ulattices'('k8$ufilter$u0'(sK111,sK112)), inference(demodulation, [status(thm)], [d64,d53])).
% 207.51/47.80 cnf(d66, plain, 'u1$ustruct$u0'('k8$ufilter$u0'(sK111,X0)) = X0 | ~'v10$ulattices'(sK111) | 'v3$ustruct$u0'(sK111) | ~'m1$ufilter$u0'(X0,sK111), inference(resolution, [status(thm)], [c44,c99])).
% 207.51/47.80 cnf(d67, plain, 'u1$ustruct$u0'('k8$ufilter$u0'(sK111,X0)) = X0 | 'v3$ustruct$u0'(sK111) | ~'m1$ufilter$u0'(X0,sK111), inference(resolution, [status(thm)], [c98,d66])).
% 207.51/47.80 cnf(d68, plain, 'u1$ustruct$u0'('k8$ufilter$u0'(sK111,X0)) = X0 | ~'m1$ufilter$u0'(X0,sK111), inference(resolution, [status(thm)], [c100,d67])).
% 207.51/47.80 cnf(d69, plain, 'u1$ustruct$u0'('k8$ufilter$u0'(sK111,sK112)) = sK112, inference(resolution, [status(thm)], [d68,d43])).
% 207.51/47.80 cnf(d70, plain, 'l3$ulattices'('k8$ufilter$u0'(sK111,X0)) | ~'v10$ulattices'(sK111) | 'v3$ustruct$u0'(sK111) | ~'m1$ufilter$u0'(X0,sK111), inference(resolution, [status(thm)], [c70,c99])).
% 207.51/47.80 cnf(d71, plain, 'l3$ulattices'('k8$ufilter$u0'(sK111,X0)) | 'v3$ustruct$u0'(sK111) | ~'m1$ufilter$u0'(X0,sK111), inference(resolution, [status(thm)], [c98,d70])).
% 207.51/47.80 cnf(d72, plain, 'l3$ulattices'('k8$ufilter$u0'(sK111,X0)) | ~'m1$ufilter$u0'(X0,sK111), inference(resolution, [status(thm)], [c100,d71])).
% 207.51/47.80 cnf(d73, plain, 'l3$ulattices'('k8$ufilter$u0'(sK111,sK112)), inference(resolution, [status(thm)], [d72,d43])).
% 207.51/47.80 cnf(d74, plain, 'g3$ulattices'('u1$ustruct$u0'('k8$ufilter$u0'(sK111,sK112)),'u2$ulattices'('k8$ufilter$u0'(sK111,sK112)),'u1$ulattices'('k8$ufilter$u0'(sK111,sK112))) = 'k8$ufilter$u0'(sK111,sK112) | ~'v3$ulattices'('k8$ufilter$u0'(sK111,sK112)), inference(resolution, [status(thm)], [d73,c17])).
% 207.51/47.80 cnf(d75, plain, 'g3$ulattices'(sK112,'u2$ulattices'('k8$ufilter$u0'(sK111,sK112)),'u1$ulattices'('k8$ufilter$u0'(sK111,sK112))) = 'k8$ufilter$u0'(sK111,sK112) | ~'v3$ulattices'('k8$ufilter$u0'(sK111,sK112)), inference(demodulation, [status(thm)], [d74,d69])).
% 207.51/47.80 cnf(d76, plain, 'g3$ulattices'(sK112,'u2$ulattices'('k8$ufilter$u0'(sK110,sK112)),'u1$ulattices'('k8$ufilter$u0'(sK111,sK112))) = 'k8$ufilter$u0'(sK111,sK112) | ~'v3$ulattices'('k8$ufilter$u0'(sK111,sK112)), inference(demodulation, [status(thm)], [d75,d65])).
% 207.51/47.80 cnf(d77, plain, 'g3$ulattices'(sK112,'u2$ulattices'('k8$ufilter$u0'(sK110,sK112)),'u1$ulattices'('k8$ufilter$u0'(sK110,sK112))) = 'k8$ufilter$u0'(sK111,sK112) | ~'v3$ulattices'('k8$ufilter$u0'(sK111,sK112)), inference(demodulation, [status(thm)], [d76,d49])).
% 207.51/47.80 cnf(d78, plain, 'k8$ufilter$u0'(sK110,sK112) = 'k8$ufilter$u0'(sK111,sK112) | ~'v3$ulattices'('k8$ufilter$u0'(sK111,sK112)), inference(demodulation, [status(thm)], [d77,d19])).
% 207.51/47.80 cnf(d79, plain, ~'v10$ulattices'(sK111) | 'v3$ustruct$u0'(sK111) | ~'m1$ufilter$u0'(X0,sK111) | 'Ts39'(sK111,X0), inference(resolution, [status(thm)], [c23,c99])).
% 207.51/47.80 cnf(d80, plain, 'v3$ustruct$u0'(sK111) | ~'m1$ufilter$u0'(X0,sK111) | 'Ts39'(sK111,X0), inference(resolution, [status(thm)], [c98,d79])).
% 207.51/47.80 cnf(d81, plain, ~'m1$ufilter$u0'(X0,sK111) | 'Ts39'(sK111,X0), inference(resolution, [status(thm)], [c100,d80])).
% 207.51/47.80 cnf(d82, plain, 'Ts39'(sK111,sK112), inference(resolution, [status(thm)], [d81,d43])).
% 207.51/47.80 cnf(d83, plain, 'v3$ulattices'('k8$ufilter$u0'(sK111,sK112)), inference(resolution, [status(thm)], [d82,c32])).
% 207.51/47.80 cnf(d84, plain, 'k8$ufilter$u0'(sK110,sK112) = 'k8$ufilter$u0'(sK111,sK112), inference(resolution, [status(thm)], [d83,d78])).
% 207.51/47.80 cnf(d85, plain, 'k8$ufilter$u0'(sK111,sK112) != 'k8$ufilter$u0'(sK110,sK112), inference(demodulation, [status(thm)], [c103,c105])).
% 207.51/47.80 cnf(d86, plain, 'k8$ufilter$u0'(sK110,sK112) != 'k8$ufilter$u0'(sK110,sK112), inference(demodulation, [status(thm)], [d85,d84])).
% 207.51/47.80 cnf(d87, plain, $false, inference(equality_resolution, [status(thm)], [d86])).
% 207.51/47.80 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------