%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT303+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 : 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 07:48:12 AM UTC 2026
% Result : Theorem 25.77s 4.07s
% Output : CNFRefutation 25.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT303+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.71 % Computer : n012.cluster.edu
% 0.03/0.71 % Model : x86_64 x86_64
% 0.03/0.71 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.71 % Memory : 8046.5625MB
% 0.03/0.71 % OS : Linux 6.8.0-71-generic
% 0.03/0.71 % CPULimit : 300
% 0.03/0.71 % WCLimit : 300
% 0.03/0.71 % DateTime : Fri Sep 25 20:38:22 UTC 2026
% 0.03/0.71 % CPUTime :
% 0.03/0.71 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.77/4.07 % SZS status Theorem for theBenchmark.p
% 25.77/4.07 % SZS output start CNFRefutation for theBenchmark.p
% 25.77/4.07 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))))).
% 25.77/4.07 fof(dt_k1_lattice2, axiom, ! [X0] : (('l3$ulattices'(X0) => ('v3$ulattices'('k1$ulattice2'(X0)) & 'l3$ulattices'('k1$ulattice2'(X0)))))).
% 25.77/4.07 fof(dt_k5_filter_2, axiom, ! [X0] : ! [X1] : (((~'v3$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)))))).
% 25.77/4.07 fof(dt_l1_lattices, axiom, ! [X0] : (('l1$ulattices'(X0) => 'l1$ustruct$u0'(X0)))).
% 25.77/4.07 fof(dt_l3_lattices, axiom, ! [X0] : (('l3$ulattices'(X0) => ('l1$ulattices'(X0) & 'l2$ulattices'(X0))))).
% 25.77/4.07 fof(fc1_struct_0, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & 'l1$ustruct$u0'(X0)) => ~'v1$uxboole$u0'('u1$ustruct$u0'(X0))))).
% 25.77/4.07 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$ulattice2'(X0))))))))))))).
% 25.77/4.07 fof(rc2_funct_1, axiom, ? [X0] : (('v1$urelat$u1'(X0) & ('v1$uxboole$u0'(X0) & 'v1$ufunct$u1'(X0))))).
% 25.77/4.07 fof(redefinition_k6_domain_1, axiom, ! [X0] : ! [X1] : (((~'v1$uxboole$u0'(X0) & 'm1$usubset$u1'(X1,X0)) => 'k6$udomain$u1'(X0,X1) = 'k1$utarski'(X1)))).
% 25.77/4.07 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)))))).
% 25.77/4.07 fof(t14_filter_0, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => ('m1$ufilter$u0'('k6$udomain$u1'('u1$ustruct$u0'(X0),X1),X0) => 'v14$ulattices'(X0))))))).
% 25.77/4.07 fof(t21_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m2$ufilter$u2'(X1,X0) <=> 'm1$ufilter$u2'(X1,'k1$ulattice2'(X0))))))).
% 25.77/4.07 fof(t63_lattice2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ('v13$ulattices'(X0) <=> 'v14$ulattices'('k1$ulattice2'(X0)))))).
% 25.77/4.07 fof(t6_boole, axiom, ! [X0] : (('v1$uxboole$u0'(X0) => X0 = 'k1$uxboole$u0'))).
% 25.77/4.07 fof(t27_filter_2, conjecture, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => ('m2$ufilter$u2'('k6$udomain$u1'('u1$ustruct$u0'(X0),X1),X0) => 'v13$ulattices'(X0))))))).
% 25.77/4.07 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => ('m2$ufilter$u2'('k6$udomain$u1'('u1$ustruct$u0'(X0),X1),X0) => 'v13$ulattices'(X0)))))), inference(negate_conjecture, [status(cth)], [t27_filter_2])).
% 25.77/4.07 cnf(c24, plain, ~'l3$ulattices'(X0) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | 'k5$ufilter$u2'(X0,X1) = X1, inference(clausification, [status(esa)], [d4_filter_2])).
% 25.77/4.07 cnf(c28, plain, ~'l3$ulattices'(X0) | 'l3$ulattices'('k1$ulattice2'(X0)), inference(clausification, [status(esa)], [dt_k1_lattice2])).
% 25.77/4.07 cnf(c29, plain, ~'v10$ulattices'(X0) | 'v3$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$u0'(X0)), inference(clausification, [status(esa)], [dt_k5_filter_2])).
% 25.77/4.07 cnf(c31, plain, ~'l1$ulattices'(X0) | 'l1$ustruct$u0'(X0), inference(clausification, [status(esa)], [dt_l1_lattices])).
% 25.77/4.07 cnf(c33, plain, ~'l3$ulattices'(X0) | 'l1$ulattices'(X0), inference(clausification, [status(esa)], [dt_l3_lattices])).
% 25.77/4.07 cnf(c62, plain, 'v3$ustruct$u0'(X0) | ~'l1$ustruct$u0'(X0) | ~'v1$uxboole$u0'('u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [fc1_struct_0])).
% 25.77/4.07 cnf(c96, plain, 'v3$ustruct$u0'(X0) | ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | X1(X0), inference(clausification, [status(esa)], [fc6_lattice2])).
% 25.77/4.07 cnf(c97, plain, ~X0(X1) | ~'v3$ustruct$u0'('k1$ulattice2'(X1)), inference(clausification, [status(esa)], [fc6_lattice2])).
% 25.77/4.07 cnf(c105, plain, ~X0(X1) | 'v10$ulattices'('k1$ulattice2'(X1)), inference(clausification, [status(esa)], [fc6_lattice2])).
% 25.77/4.07 cnf(c132, plain, 'v1$uxboole$u0'(sK95), inference(clausification, [status(esa)], [rc2_funct_1])).
% 25.77/4.07 cnf(c161, plain, 'v1$uxboole$u0'(X0) | ~'m1$usubset$u1'(X1,X0) | 'k6$udomain$u1'(X0,X1) = 'k1$utarski'(X1), inference(clausification, [status(esa)], [redefinition_k6_domain_1])).
% 25.77/4.07 cnf(c162, plain, ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'm1$ufilter$u0'(X1,X0) | 'v3$ustruct$u0'(X0) | ~'m1$ufilter$u2'(X1,X0), inference(clausification, [status(esa)], [redefinition_m1_filter_2])).
% 25.77/4.07 cnf(c167, plain, ~'v10$ulattices'(X0) | ~'m1$ufilter$u0'('k6$udomain$u1'('u1$ustruct$u0'(X0),X1),X0) | ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | 'v14$ulattices'(X0), inference(clausification, [status(esa)], [t14_filter_0])).
% 25.77/4.07 cnf(c169, plain, ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m2$ufilter$u2'(X1,X0) | 'm1$ufilter$u2'(X1,'k1$ulattice2'(X0)), inference(clausification, [status(esa)], [t21_filter_2])).
% 25.77/4.07 cnf(c177, plain, ~'v10$ulattices'(X0) | ~'v14$ulattices'('k1$ulattice2'(X0)) | ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | 'v13$ulattices'(X0), inference(clausification, [status(esa)], [t63_lattice2])).
% 25.77/4.07 cnf(c178, plain, ~'v1$uxboole$u0'(X0) | X0 = 'k1$uxboole$u0', inference(clausification, [status(esa)], [t6_boole])).
% 25.77/4.07 cnf(c181, plain, ~'v3$ustruct$u0'(sK138), inference(clausification, [status(esa)], [negated_conjecture])).
% 25.77/4.07 cnf(c182, plain, 'v10$ulattices'(sK138), inference(clausification, [status(esa)], [negated_conjecture])).
% 25.77/4.07 cnf(c183, plain, 'l3$ulattices'(sK138), inference(clausification, [status(esa)], [negated_conjecture])).
% 25.77/4.07 cnf(c184, plain, 'm1$usubset$u1'(sK139,'u1$ustruct$u0'(sK138)), inference(clausification, [status(esa)], [negated_conjecture])).
% 25.77/4.07 cnf(c185, plain, 'm2$ufilter$u2'('k6$udomain$u1'('u1$ustruct$u0'(sK138),sK139),sK138), inference(clausification, [status(esa)], [negated_conjecture])).
% 25.77/4.07 cnf(c186, plain, ~'v13$ulattices'(sK138), inference(clausification, [status(esa)], [negated_conjecture])).
% 25.77/4.07 cnf(d0, plain, 'l1$ulattices'('k1$ulattice2'(X0)) | ~'l3$ulattices'(X0), inference(resolution, [status(thm)], [c33,c28])).
% 25.77/4.07 cnf(d1, plain, ~'l3$ulattices'(X0) | 'l1$ustruct$u0'('k1$ulattice2'(X0)), inference(resolution, [status(thm)], [d0,c31])).
% 25.77/4.07 cnf(d2, plain, ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m2$ufilter$u2'(X1,X0) | ~'l3$ulattices'('k1$ulattice2'(X0)) | ~'v10$ulattices'('k1$ulattice2'(X0)) | 'v3$ustruct$u0'('k1$ulattice2'(X0)) | 'm1$ufilter$u0'(X1,'k1$ulattice2'(X0)), inference(resolution, [status(thm)], [c169,c162])).
% 25.77/4.07 cnf(d3, plain, sK95 = 'k1$uxboole$u0', inference(resolution, [status(thm)], [c178,c132])).
% 25.77/4.07 cnf(d4, plain, 'k5$ufilter$u2'(sK138,sK139) = sK139 | ~'l3$ulattices'(sK138) | ~'v10$ulattices'(sK138) | 'v3$ustruct$u0'(sK138), inference(resolution, [status(thm)], [c24,c184])).
% 25.77/4.07 cnf(d5, plain, 'k5$ufilter$u2'(sK138,sK139) = sK139 | ~'l3$ulattices'(sK138) | ~'v10$ulattices'(sK138), inference(resolution, [status(thm)], [c181,d4])).
% 25.77/4.07 cnf(d6, plain, 'k5$ufilter$u2'(sK138,sK139) = sK139 | ~'l3$ulattices'(sK138), inference(resolution, [status(thm)], [c182,d5])).
% 25.77/4.07 cnf(d7, plain, 'k5$ufilter$u2'(sK138,sK139) = sK139, inference(resolution, [status(thm)], [c183,d6])).
% 25.77/4.07 cnf(d8, plain, 'm1$usubset$u1'(sK139,'u1$ustruct$u0'('k1$ulattice2'(sK138))) | ~'l3$ulattices'(sK138) | ~'v10$ulattices'(sK138) | 'v3$ustruct$u0'(sK138) | ~'m1$usubset$u1'(sK139,'u1$ustruct$u0'(sK138)), inference(superposition, [status(thm)], [d7,c29])).
% 25.77/4.07 cnf(d9, plain, ~'l3$ulattices'(sK138) | ~'v10$ulattices'(sK138) | 'm1$usubset$u1'(sK139,'u1$ustruct$u0'('k1$ulattice2'(sK138))) | ~'m1$usubset$u1'(sK139,'u1$ustruct$u0'(sK138)), inference(resolution, [status(thm)], [c181,d8])).
% 25.77/4.07 cnf(d10, plain, ~'l3$ulattices'(sK138) | 'm1$usubset$u1'(sK139,'u1$ustruct$u0'('k1$ulattice2'(sK138))) | ~'m1$usubset$u1'(sK139,'u1$ustruct$u0'(sK138)), inference(resolution, [status(thm)], [c182,d9])).
% 25.77/4.07 cnf(d11, plain, 'm1$usubset$u1'(sK139,'u1$ustruct$u0'('k1$ulattice2'(sK138))) | ~'m1$usubset$u1'(sK139,'u1$ustruct$u0'(sK138)), inference(resolution, [status(thm)], [c183,d10])).
% 25.77/4.07 cnf(d12, plain, 'm1$usubset$u1'(sK139,'u1$ustruct$u0'('k1$ulattice2'(sK138))), inference(resolution, [status(thm)], [c184,d11])).
% 25.77/4.07 cnf(d13, plain, 'k6$udomain$u1'('u1$ustruct$u0'('k1$ulattice2'(sK138)),sK139) = 'k1$utarski'(sK139) | 'v1$uxboole$u0'('u1$ustruct$u0'('k1$ulattice2'(sK138))), inference(resolution, [status(thm)], [c161,d12])).
% 25.77/4.07 cnf(d14, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = 'k1$uxboole$u0' | 'k6$udomain$u1'('u1$ustruct$u0'('k1$ulattice2'(sK138)),sK139) = 'k1$utarski'(sK139), inference(resolution, [status(thm)], [c178,d13])).
% 25.77/4.07 cnf(d15, plain, ~'m1$ufilter$u0'('k1$utarski'(sK139),'k1$ulattice2'(sK138)) | ~'l3$ulattices'('k1$ulattice2'(sK138)) | ~'v10$ulattices'('k1$ulattice2'(sK138)) | 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | ~'m1$usubset$u1'(sK139,'u1$ustruct$u0'('k1$ulattice2'(sK138))) | 'v14$ulattices'('k1$ulattice2'(sK138)) | 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = 'k1$uxboole$u0', inference(superposition, [status(thm)], [d14,c167])).
% 25.77/4.07 cnf(d16, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = sK95 | ~'l3$ulattices'('k1$ulattice2'(sK138)) | ~'v10$ulattices'('k1$ulattice2'(sK138)) | 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | ~'m1$usubset$u1'(sK139,'u1$ustruct$u0'('k1$ulattice2'(sK138))) | 'v14$ulattices'('k1$ulattice2'(sK138)) | ~'m1$ufilter$u0'('k1$utarski'(sK139),'k1$ulattice2'(sK138)), inference(demodulation, [status(thm)], [d15,d3])).
% 25.77/4.07 cnf(d17, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = sK95 | ~'l3$ulattices'('k1$ulattice2'(sK138)) | ~'v10$ulattices'('k1$ulattice2'(sK138)) | 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | 'v14$ulattices'('k1$ulattice2'(sK138)) | ~'m1$ufilter$u0'('k1$utarski'(sK139),'k1$ulattice2'(sK138)), inference(resolution, [status(thm)], [d12,d16])).
% 25.77/4.07 cnf(d18, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = sK95 | ~'l3$ulattices'('k1$ulattice2'(sK138)) | ~'v10$ulattices'('k1$ulattice2'(sK138)) | 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | 'v14$ulattices'('k1$ulattice2'(sK138)) | ~'l3$ulattices'(sK138) | ~'l3$ulattices'('k1$ulattice2'(sK138)) | ~'v10$ulattices'(sK138) | ~'v10$ulattices'('k1$ulattice2'(sK138)) | 'v3$ustruct$u0'(sK138) | 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | ~'m2$ufilter$u2'('k1$utarski'(sK139),sK138), inference(resolution, [status(thm)], [d17,d2])).
% 25.77/4.07 cnf(d19, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = sK95 | ~'l3$ulattices'('k1$ulattice2'(sK138)) | ~'l3$ulattices'(sK138) | ~'v10$ulattices'('k1$ulattice2'(sK138)) | ~'v10$ulattices'(sK138) | 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | 'v14$ulattices'('k1$ulattice2'(sK138)) | ~'m2$ufilter$u2'('k1$utarski'(sK139),sK138), inference(resolution, [status(thm)], [c181,d18])).
% 25.77/4.07 cnf(d20, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = sK95 | ~'l3$ulattices'('k1$ulattice2'(sK138)) | ~'l3$ulattices'(sK138) | ~'v10$ulattices'('k1$ulattice2'(sK138)) | 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | 'v14$ulattices'('k1$ulattice2'(sK138)) | ~'m2$ufilter$u2'('k1$utarski'(sK139),sK138), inference(resolution, [status(thm)], [c182,d19])).
% 25.77/4.07 cnf(d21, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = sK95 | ~'l3$ulattices'('k1$ulattice2'(sK138)) | ~'v10$ulattices'('k1$ulattice2'(sK138)) | 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | 'v14$ulattices'('k1$ulattice2'(sK138)) | ~'m2$ufilter$u2'('k1$utarski'(sK139),sK138), inference(resolution, [status(thm)], [c183,d20])).
% 25.77/4.07 cnf(d22, plain, 'k6$udomain$u1'('u1$ustruct$u0'(sK138),sK139) = 'k1$utarski'(sK139) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK138)), inference(resolution, [status(thm)], [c161,c184])).
% 25.77/4.07 cnf(d23, plain, 'k6$udomain$u1'('u1$ustruct$u0'(sK138),sK139) = 'k1$utarski'(sK139) | 'v3$ustruct$u0'(sK138) | ~'l1$ustruct$u0'(sK138), inference(resolution, [status(thm)], [d22,c62])).
% 25.77/4.07 cnf(d24, plain, 'k6$udomain$u1'('u1$ustruct$u0'(sK138),sK139) = 'k1$utarski'(sK139) | ~'l1$ustruct$u0'(sK138), inference(resolution, [status(thm)], [c181,d23])).
% 25.77/4.07 cnf(d25, plain, 'l1$ulattices'(sK138), inference(resolution, [status(thm)], [c33,c183])).
% 25.77/4.07 cnf(d26, plain, 'l1$ustruct$u0'(sK138), inference(resolution, [status(thm)], [d25,c31])).
% 25.77/4.07 cnf(d27, plain, 'k6$udomain$u1'('u1$ustruct$u0'(sK138),sK139) = 'k1$utarski'(sK139), inference(resolution, [status(thm)], [d26,d24])).
% 25.77/4.07 cnf(d28, plain, 'm2$ufilter$u2'('k1$utarski'(sK139),sK138), inference(demodulation, [status(thm)], [c185,d27])).
% 25.77/4.07 cnf(d29, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = sK95 | ~'l3$ulattices'('k1$ulattice2'(sK138)) | ~'v10$ulattices'('k1$ulattice2'(sK138)) | 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | 'v14$ulattices'('k1$ulattice2'(sK138)), inference(resolution, [status(thm)], [d28,d21])).
% 25.77/4.07 cnf(d30, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = sK95 | ~'l3$ulattices'('k1$ulattice2'(sK138)) | 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | 'v14$ulattices'('k1$ulattice2'(sK138)) | ~'Ts79'(sK138), inference(resolution, [status(thm)], [d29,c105])).
% 25.77/4.07 cnf(d31, plain, ~'l3$ulattices'(sK138) | 'v3$ustruct$u0'(sK138) | 'Ts79'(sK138), inference(resolution, [status(thm)], [c96,c182])).
% 25.77/4.07 cnf(d32, plain, ~'l3$ulattices'(sK138) | 'Ts79'(sK138), inference(resolution, [status(thm)], [c181,d31])).
% 25.77/4.07 cnf(d33, plain, 'Ts79'(sK138), inference(resolution, [status(thm)], [c183,d32])).
% 25.77/4.07 cnf(d34, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = sK95 | ~'l3$ulattices'('k1$ulattice2'(sK138)) | 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | 'v14$ulattices'('k1$ulattice2'(sK138)), inference(resolution, [status(thm)], [d33,d30])).
% 25.77/4.07 cnf(d35, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = sK95 | 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | 'v14$ulattices'('k1$ulattice2'(sK138)) | ~'l3$ulattices'(sK138), inference(resolution, [status(thm)], [d34,c28])).
% 25.77/4.07 cnf(d36, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = sK95 | 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | 'v14$ulattices'('k1$ulattice2'(sK138)), inference(resolution, [status(thm)], [c183,d35])).
% 25.77/4.07 cnf(d37, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = sK95 | 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | ~'l3$ulattices'(sK138) | ~'v10$ulattices'(sK138) | 'v3$ustruct$u0'(sK138) | 'v13$ulattices'(sK138), inference(resolution, [status(thm)], [d36,c177])).
% 25.77/4.07 cnf(d38, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = sK95 | ~'l3$ulattices'(sK138) | ~'v10$ulattices'(sK138) | 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | 'v13$ulattices'(sK138), inference(resolution, [status(thm)], [c181,d37])).
% 25.77/4.07 cnf(d39, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = sK95 | ~'l3$ulattices'(sK138) | 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | 'v13$ulattices'(sK138), inference(resolution, [status(thm)], [c182,d38])).
% 25.77/4.07 cnf(d40, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = sK95 | 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | 'v13$ulattices'(sK138), inference(resolution, [status(thm)], [c183,d39])).
% 25.77/4.07 cnf(d41, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = sK95 | 'v3$ustruct$u0'('k1$ulattice2'(sK138)), inference(resolution, [status(thm)], [c186,d40])).
% 25.77/4.07 cnf(d42, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = sK95 | ~'Ts79'(sK138), inference(resolution, [status(thm)], [d41,c97])).
% 25.77/4.07 cnf(d43, plain, 'u1$ustruct$u0'('k1$ulattice2'(sK138)) = sK95, inference(resolution, [status(thm)], [d33,d42])).
% 25.77/4.07 cnf(d44, plain, ~'v1$uxboole$u0'(sK95) | 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | ~'l1$ustruct$u0'('k1$ulattice2'(sK138)), inference(superposition, [status(thm)], [d43,c62])).
% 25.77/4.07 cnf(d45, plain, 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | ~'l1$ustruct$u0'('k1$ulattice2'(sK138)), inference(resolution, [status(thm)], [c132,d44])).
% 25.77/4.07 cnf(d46, plain, 'v3$ustruct$u0'('k1$ulattice2'(sK138)) | ~'l3$ulattices'(sK138), inference(resolution, [status(thm)], [d45,d1])).
% 25.77/4.07 cnf(d47, plain, 'v3$ustruct$u0'('k1$ulattice2'(sK138)), inference(resolution, [status(thm)], [c183,d46])).
% 25.77/4.07 cnf(d48, plain, ~'Ts79'(sK138), inference(resolution, [status(thm)], [d47,c97])).
% 25.77/4.07 cnf(d49, plain, $false, inference(resolution, [status(thm)], [d33,d48])).
% 25.77/4.07 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------