%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT305+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 : n011.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 07:48:13 AM UTC 2026
% Result : Theorem 72.97s 20.86s
% Output : CNFRefutation 72.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT305+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.43 % Computer : n011.cluster.edu
% 0.11/0.43 % Model : x86_64 x86_64
% 0.11/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.43 % Memory : 8046.5625MB
% 0.11/0.43 % OS : Linux 6.8.0-71-generic
% 0.11/0.43 % CPULimit : 300
% 0.11/0.43 % WCLimit : 300
% 0.11/0.43 % DateTime : Fri Sep 25 20:39:59 UTC 2026
% 0.11/0.43 % CPUTime :
% 0.11/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 72.97/20.86 % SZS status Theorem for theBenchmark.p
% 72.97/20.86 % SZS output start CNFRefutation for theBenchmark.p
% 72.97/20.86 fof(cc1_lattices, axiom, ! [X0] : (('l3$ulattices'(X0) => ((~'v3$ustruct$u0'(X0) & 'v10$ulattices'(X0)) => (~'v3$ustruct$u0'(X0) & ('v4$ulattices'(X0) & ('v5$ulattices'(X0) & ('v6$ulattices'(X0) & ('v7$ulattices'(X0) & ('v8$ulattices'(X0) & 'v9$ulattices'(X0))))))))))).
% 72.97/20.86 fof(commutativity_k4_lattices, axiom, ! [X0] : ! [X1] : ! [X2] : (((~'v3$ustruct$u0'(X0) & ('v6$ulattices'(X0) & ('l1$ulattices'(X0) & ('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) & 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0)))))) => 'k4$ulattices'(X0,X1,X2) = 'k4$ulattices'(X0,X2,X1)))).
% 72.97/20.86 fof(d9_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => 'k18$ufilter$u2'(X0,X1) = 'a$u2$u0$ufilter$u2'(X0,X1)))))).
% 72.97/20.86 fof(dt_k2_lattices, axiom, ! [X0] : ! [X1] : ! [X2] : (((~'v3$ustruct$u0'(X0) & ('l1$ulattices'(X0) & ('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) & 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0))))) => 'm1$usubset$u1'('k2$ulattices'(X0,X1,X2),'u1$ustruct$u0'(X0))))).
% 72.97/20.86 fof(dt_l3_lattices, axiom, ! [X0] : (('l3$ulattices'(X0) => ('l1$ulattices'(X0) & 'l2$ulattices'(X0))))).
% 72.97/20.86 fof(fraenkel_a_2_0_filter_2, axiom, ! [X0] : ! [X1] : ! [X2] : (((~'v3$ustruct$u0'(X1) & ('v10$ulattices'(X1) & ('l3$ulattices'(X1) & 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X1))))) => ('r2$uhidden'(X0,'a$u2$u0$ufilter$u2'(X1,X2)) <=> ? [X3] : (('m1$usubset$u1'(X3,'u1$ustruct$u0'(X1)) & (X0 = X3 & 'r3$ulattices'(X1,X3,X2)))))))).
% 72.97/20.86 fof(redefinition_k4_lattices, axiom, ! [X0] : ! [X1] : ! [X2] : (((~'v3$ustruct$u0'(X0) & ('v6$ulattices'(X0) & ('l1$ulattices'(X0) & ('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) & 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0)))))) => 'k4$ulattices'(X0,X1,X2) = 'k2$ulattices'(X0,X1,X2)))).
% 72.97/20.86 fof(redefinition_r3_lattices, axiom, ! [X0] : ! [X1] : ! [X2] : (((~'v3$ustruct$u0'(X0) & ('v6$ulattices'(X0) & ('v8$ulattices'(X0) & ('v9$ulattices'(X0) & ('l3$ulattices'(X0) & ('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) & 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0)))))))) => ('r3$ulattices'(X0,X1,X2) <=> 'r1$ulattices'(X0,X1,X2))))).
% 72.97/20.86 fof(reflexivity_r3_lattices, axiom, ! [X0] : ! [X1] : ! [X2] : (((~'v3$ustruct$u0'(X0) & ('v6$ulattices'(X0) & ('v8$ulattices'(X0) & ('v9$ulattices'(X0) & ('l3$ulattices'(X0) & ('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) & 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0)))))))) => 'r3$ulattices'(X0,X1,X1)))).
% 72.97/20.86 fof(t23_lattices, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v6$ulattices'(X0) & ('v8$ulattices'(X0) & 'l3$ulattices'(X0)))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => 'r1$ulattices'(X0,'k4$ulattices'(X0,X1,X2),X1)))))))).
% 72.97/20.86 fof(t31_filter_2, conjecture, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => ('r2$uhidden'(X1,'k18$ufilter$u2'(X0,X1)) & ('r2$uhidden'('k4$ulattices'(X0,X1,X2),'k18$ufilter$u2'(X0,X1)) & 'r2$uhidden'('k4$ulattices'(X0,X2,X1),'k18$ufilter$u2'(X0,X1))))))))))).
% 72.97/20.86 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)) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => ('r2$uhidden'(X1,'k18$ufilter$u2'(X0,X1)) & ('r2$uhidden'('k4$ulattices'(X0,X1,X2),'k18$ufilter$u2'(X0,X1)) & 'r2$uhidden'('k4$ulattices'(X0,X2,X1),'k18$ufilter$u2'(X0,X1)))))))))), inference(negate_conjecture, [status(cth)], [t31_filter_2])).
% 72.97/20.86 cnf(c2, plain, ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'v10$ulattices'(X0) | X1(X0), inference(clausification, [status(esa)], [cc1_lattices])).
% 72.97/20.86 cnf(c6, plain, ~X0(X1) | 'v6$ulattices'(X1), inference(clausification, [status(esa)], [cc1_lattices])).
% 72.97/20.86 cnf(c8, plain, ~X0(X1) | 'v8$ulattices'(X1), inference(clausification, [status(esa)], [cc1_lattices])).
% 72.97/20.86 cnf(c9, plain, ~X0(X1) | 'v9$ulattices'(X1), inference(clausification, [status(esa)], [cc1_lattices])).
% 72.97/20.86 cnf(c18, plain, ~'l1$ulattices'(X0) | 'k4$ulattices'(X0,X1,X2) = 'k4$ulattices'(X0,X2,X1) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | ~'v6$ulattices'(X0) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) | 'v3$ustruct$u0'(X0), inference(clausification, [status(esa)], [commutativity_k4_lattices])).
% 72.97/20.86 cnf(c22, plain, 'v3$ustruct$u0'(X0) | ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'k18$ufilter$u2'(X0,X1) = 'a$u2$u0$ufilter$u2'(X0,X1) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [d9_filter_2])).
% 72.97/20.86 cnf(c25, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) | 'v3$ustruct$u0'(X1) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X1)) | 'm1$usubset$u1'('k2$ulattices'(X1,X0,X2),'u1$ustruct$u0'(X1)) | ~'l1$ulattices'(X1), inference(clausification, [status(esa)], [dt_k2_lattices])).
% 72.97/20.86 cnf(c29, plain, ~'l3$ulattices'(X0) | 'l1$ulattices'(X0), inference(clausification, [status(esa)], [dt_l3_lattices])).
% 72.97/20.86 cnf(c71, plain, ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | 'r2$uhidden'(X2,'a$u2$u0$ufilter$u2'(X0,X1)) | ~'r3$ulattices'(X0,X3,X1) | ~'m1$usubset$u1'(X3,'u1$ustruct$u0'(X0)) | X2 != X3, inference(clausification, [status(esa)], [fraenkel_a_2_0_filter_2])).
% 72.97/20.86 cnf(c97, plain, 'k4$ulattices'(X0,X1,X2) = 'k2$ulattices'(X0,X1,X2) | 'v3$ustruct$u0'(X0) | ~'v6$ulattices'(X0) | ~'l1$ulattices'(X0) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [redefinition_k4_lattices])).
% 72.97/20.86 cnf(c101, plain, ~'v6$ulattices'(X0) | ~'v8$ulattices'(X0) | ~'r1$ulattices'(X0,X1,X2) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) | ~'v9$ulattices'(X0) | ~'l3$ulattices'(X0) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | 'r3$ulattices'(X0,X1,X2) | 'v3$ustruct$u0'(X0), inference(clausification, [status(esa)], [redefinition_r3_lattices])).
% 72.97/20.86 cnf(c103, plain, ~'v9$ulattices'(X0) | ~'l3$ulattices'(X0) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | ~'v6$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'v8$ulattices'(X0) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) | 'r3$ulattices'(X0,X2,X2), inference(clausification, [status(esa)], [reflexivity_r3_lattices])).
% 72.97/20.86 cnf(c105, plain, ~'v8$ulattices'(X0) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | 'r1$ulattices'(X0,'k4$ulattices'(X0,X2,X1),X2) | 'v3$ustruct$u0'(X0) | ~'v6$ulattices'(X0) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) | ~'l3$ulattices'(X0), inference(clausification, [status(esa)], [t23_lattices])).
% 72.97/20.86 cnf(c118, plain, ~'v3$ustruct$u0'(sK143), inference(clausification, [status(esa)], [negated_conjecture])).
% 72.97/20.86 cnf(c119, plain, 'v10$ulattices'(sK143), inference(clausification, [status(esa)], [negated_conjecture])).
% 72.97/20.86 cnf(c120, plain, 'l3$ulattices'(sK143), inference(clausification, [status(esa)], [negated_conjecture])).
% 72.97/20.86 cnf(c121, plain, 'm1$usubset$u1'(sK144,'u1$ustruct$u0'(sK143)), inference(clausification, [status(esa)], [negated_conjecture])).
% 72.97/20.86 cnf(c122, plain, 'm1$usubset$u1'(sK145,'u1$ustruct$u0'(sK143)), inference(clausification, [status(esa)], [negated_conjecture])).
% 72.97/20.86 cnf(c123, plain, ~'r2$uhidden'(sK144,'k18$ufilter$u2'(sK143,sK144)) | ~'r2$uhidden'('k4$ulattices'(sK143,sK144,sK145),'k18$ufilter$u2'(sK143,sK144)) | ~'r2$uhidden'('k4$ulattices'(sK143,sK145,sK144),'k18$ufilter$u2'(sK143,sK144)), inference(clausification, [status(esa)], [negated_conjecture])).
% 72.97/20.86 cnf(d0, plain, 'r2$uhidden'(X0,'a$u2$u0$ufilter$u2'(X1,X2)) | ~'v10$ulattices'(X1) | ~'l3$ulattices'(X1) | 'v3$ustruct$u0'(X1) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X1)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) | ~'r3$ulattices'(X1,X0,X2), inference(equality_resolution, [status(thm)], [c71])).
% 72.97/20.86 cnf(d1, plain, 'k18$ufilter$u2'(sK143,sK144) = 'a$u2$u0$ufilter$u2'(sK143,sK144) | ~'v10$ulattices'(sK143) | ~'l3$ulattices'(sK143) | 'v3$ustruct$u0'(sK143), inference(resolution, [status(thm)], [c22,c121])).
% 72.97/20.86 cnf(d2, plain, 'k18$ufilter$u2'(sK143,sK144) = 'a$u2$u0$ufilter$u2'(sK143,sK144) | ~'v10$ulattices'(sK143) | ~'l3$ulattices'(sK143), inference(resolution, [status(thm)], [c118,d1])).
% 72.97/20.86 cnf(d3, plain, 'k18$ufilter$u2'(sK143,sK144) = 'a$u2$u0$ufilter$u2'(sK143,sK144) | ~'l3$ulattices'(sK143), inference(resolution, [status(thm)], [c119,d2])).
% 72.97/20.86 cnf(d4, plain, 'k18$ufilter$u2'(sK143,sK144) = 'a$u2$u0$ufilter$u2'(sK143,sK144), inference(resolution, [status(thm)], [c120,d3])).
% 72.97/20.86 cnf(d5, plain, 'r2$uhidden'(X0,'k18$ufilter$u2'(sK143,sK144)) | ~'v10$ulattices'(sK143) | ~'l3$ulattices'(sK143) | 'v3$ustruct$u0'(sK143) | ~'m1$usubset$u1'(sK144,'u1$ustruct$u0'(sK143)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK143)) | ~'r3$ulattices'(sK143,X0,sK144), inference(superposition, [status(thm)], [d4,d0])).
% 72.97/20.86 cnf(d6, plain, 'r2$uhidden'(X0,'k18$ufilter$u2'(sK143,sK144)) | ~'v10$ulattices'(sK143) | ~'l3$ulattices'(sK143) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK143)) | ~'m1$usubset$u1'(sK144,'u1$ustruct$u0'(sK143)) | ~'r3$ulattices'(sK143,X0,sK144), inference(resolution, [status(thm)], [c118,d5])).
% 72.97/20.86 cnf(d7, plain, 'r2$uhidden'(X0,'k18$ufilter$u2'(sK143,sK144)) | ~'l3$ulattices'(sK143) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK143)) | ~'m1$usubset$u1'(sK144,'u1$ustruct$u0'(sK143)) | ~'r3$ulattices'(sK143,X0,sK144), inference(resolution, [status(thm)], [c119,d6])).
% 72.97/20.86 cnf(d8, plain, 'r2$uhidden'(X0,'k18$ufilter$u2'(sK143,sK144)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK143)) | ~'m1$usubset$u1'(sK144,'u1$ustruct$u0'(sK143)) | ~'r3$ulattices'(sK143,X0,sK144), inference(resolution, [status(thm)], [c120,d7])).
% 72.97/20.86 cnf(d9, plain, 'r2$uhidden'(X0,'k18$ufilter$u2'(sK143,sK144)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK143)) | ~'r3$ulattices'(sK143,X0,sK144), inference(resolution, [status(thm)], [c121,d8])).
% 72.97/20.86 cnf(d10, plain, 'k4$ulattices'(sK143,X0,sK145) = 'k4$ulattices'(sK143,sK145,X0) | 'v3$ustruct$u0'(sK143) | ~'v6$ulattices'(sK143) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK143)) | ~'l1$ulattices'(sK143), inference(resolution, [status(thm)], [c18,c122])).
% 72.97/20.86 cnf(d11, plain, 'k4$ulattices'(sK143,X0,sK145) = 'k4$ulattices'(sK143,sK145,X0) | ~'v6$ulattices'(sK143) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK143)) | ~'l1$ulattices'(sK143), inference(resolution, [status(thm)], [c118,d10])).
% 72.97/20.86 cnf(d12, plain, ~'v10$ulattices'(sK143) | 'v3$ustruct$u0'(sK143) | 'Ts3'(sK143), inference(resolution, [status(thm)], [c2,c120])).
% 72.97/20.86 cnf(d13, plain, ~'v10$ulattices'(sK143) | 'Ts3'(sK143), inference(resolution, [status(thm)], [c118,d12])).
% 72.97/20.86 cnf(d14, plain, 'Ts3'(sK143), inference(resolution, [status(thm)], [c119,d13])).
% 72.97/20.86 cnf(d15, plain, 'v6$ulattices'(sK143), inference(resolution, [status(thm)], [c6,d14])).
% 72.97/20.86 cnf(d16, plain, 'k4$ulattices'(sK143,X0,sK145) = 'k4$ulattices'(sK143,sK145,X0) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK143)) | ~'l1$ulattices'(sK143), inference(resolution, [status(thm)], [d15,d11])).
% 72.97/20.86 cnf(d17, plain, 'l1$ulattices'(sK143), inference(resolution, [status(thm)], [c29,c120])).
% 72.97/20.86 cnf(d18, plain, 'k4$ulattices'(sK143,X0,sK145) = 'k4$ulattices'(sK143,sK145,X0) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK143)), inference(resolution, [status(thm)], [d17,d16])).
% 72.97/20.86 cnf(d19, plain, 'k4$ulattices'(sK143,sK144,sK145) = 'k4$ulattices'(sK143,sK145,sK144), inference(resolution, [status(thm)], [d18,c121])).
% 72.97/20.86 cnf(d20, plain, ~'r2$uhidden'('k4$ulattices'(sK143,sK144,sK145),'k18$ufilter$u2'(sK143,sK144)) | ~'r2$uhidden'('k4$ulattices'(sK143,sK144,sK145),'k18$ufilter$u2'(sK143,sK144)) | ~'r2$uhidden'(sK144,'k18$ufilter$u2'(sK143,sK144)), inference(demodulation, [status(thm)], [c123,d19])).
% 72.97/20.86 cnf(d21, plain, ~'m1$usubset$u1'('k4$ulattices'(sK143,sK144,sK145),'u1$ustruct$u0'(sK143)) | ~'r3$ulattices'(sK143,'k4$ulattices'(sK143,sK144,sK145),sK144) | ~'r2$uhidden'('k4$ulattices'(sK143,sK144,sK145),'k18$ufilter$u2'(sK143,sK144)) | ~'r2$uhidden'(sK144,'k18$ufilter$u2'(sK143,sK144)), inference(resolution, [status(thm)], [d9,d20])).
% 72.97/20.86 cnf(d22, plain, 'k4$ulattices'(sK143,sK145,X0) = 'k2$ulattices'(sK143,sK145,X0) | 'v3$ustruct$u0'(sK143) | ~'v6$ulattices'(sK143) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK143)) | ~'l1$ulattices'(sK143), inference(resolution, [status(thm)], [c97,c122])).
% 72.97/20.86 cnf(d23, plain, 'k4$ulattices'(sK143,sK145,X0) = 'k2$ulattices'(sK143,sK145,X0) | ~'v6$ulattices'(sK143) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK143)) | ~'l1$ulattices'(sK143), inference(resolution, [status(thm)], [c118,d22])).
% 72.97/20.86 cnf(d24, plain, 'k4$ulattices'(sK143,sK145,X0) = 'k2$ulattices'(sK143,sK145,X0) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK143)) | ~'l1$ulattices'(sK143), inference(resolution, [status(thm)], [d15,d23])).
% 72.97/20.86 cnf(d25, plain, 'k4$ulattices'(sK143,sK145,X0) = 'k2$ulattices'(sK143,sK145,X0) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK143)), inference(resolution, [status(thm)], [d17,d24])).
% 72.97/20.86 cnf(d26, plain, 'k4$ulattices'(sK143,sK145,sK144) = 'k2$ulattices'(sK143,sK145,sK144), inference(resolution, [status(thm)], [d25,c121])).
% 72.97/20.86 cnf(d27, plain, 'k4$ulattices'(sK143,sK144,sK145) = 'k2$ulattices'(sK143,sK145,sK144), inference(demodulation, [status(thm)], [d26,d19])).
% 72.97/20.86 cnf(d28, plain, 'm1$usubset$u1'('k4$ulattices'(sK143,sK144,sK145),'u1$ustruct$u0'(sK143)) | 'v3$ustruct$u0'(sK143) | ~'m1$usubset$u1'(sK144,'u1$ustruct$u0'(sK143)) | ~'m1$usubset$u1'(sK145,'u1$ustruct$u0'(sK143)) | ~'l1$ulattices'(sK143), inference(superposition, [status(thm)], [d27,c25])).
% 72.97/20.86 cnf(d29, plain, 'm1$usubset$u1'('k4$ulattices'(sK143,sK144,sK145),'u1$ustruct$u0'(sK143)) | ~'m1$usubset$u1'(sK144,'u1$ustruct$u0'(sK143)) | ~'m1$usubset$u1'(sK145,'u1$ustruct$u0'(sK143)) | ~'l1$ulattices'(sK143), inference(resolution, [status(thm)], [c118,d28])).
% 72.97/20.86 cnf(d30, plain, 'm1$usubset$u1'('k4$ulattices'(sK143,sK144,sK145),'u1$ustruct$u0'(sK143)) | ~'m1$usubset$u1'(sK145,'u1$ustruct$u0'(sK143)) | ~'l1$ulattices'(sK143), inference(resolution, [status(thm)], [c121,d29])).
% 72.97/20.86 cnf(d31, plain, 'm1$usubset$u1'('k4$ulattices'(sK143,sK144,sK145),'u1$ustruct$u0'(sK143)) | ~'l1$ulattices'(sK143), inference(resolution, [status(thm)], [c122,d30])).
% 72.97/20.86 cnf(d32, plain, 'm1$usubset$u1'('k4$ulattices'(sK143,sK144,sK145),'u1$ustruct$u0'(sK143)), inference(resolution, [status(thm)], [d17,d31])).
% 72.97/20.86 cnf(d33, plain, ~'r2$uhidden'('k4$ulattices'(sK143,sK144,sK145),'k18$ufilter$u2'(sK143,sK144)) | ~'r2$uhidden'(sK144,'k18$ufilter$u2'(sK143,sK144)) | ~'r3$ulattices'(sK143,'k4$ulattices'(sK143,sK144,sK145),sK144), inference(resolution, [status(thm)], [d32,d21])).
% 72.97/20.86 cnf(d34, plain, ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'v6$ulattices'(X0) | ~'v8$ulattices'(X0) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) | ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'v6$ulattices'(X0) | ~'v8$ulattices'(X0) | ~'v9$ulattices'(X0) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) | ~'m1$usubset$u1'('k4$ulattices'(X0,X2,X1),'u1$ustruct$u0'(X0)) | 'r3$ulattices'(X0,'k4$ulattices'(X0,X2,X1),X2), inference(resolution, [status(thm)], [c105,c101])).
% 72.97/20.86 cnf(d35, plain, ~'l3$ulattices'(sK143) | 'v3$ustruct$u0'(sK143) | ~'v6$ulattices'(sK143) | ~'v8$ulattices'(sK143) | ~'v9$ulattices'(sK143) | ~'m1$usubset$u1'(sK144,'u1$ustruct$u0'(sK143)) | ~'m1$usubset$u1'(sK145,'u1$ustruct$u0'(sK143)) | 'r3$ulattices'(sK143,'k4$ulattices'(sK143,sK144,sK145),sK144), inference(resolution, [status(thm)], [d34,d32])).
% 72.97/20.86 cnf(d36, plain, ~'l3$ulattices'(sK143) | ~'v6$ulattices'(sK143) | ~'v8$ulattices'(sK143) | ~'v9$ulattices'(sK143) | ~'m1$usubset$u1'(sK144,'u1$ustruct$u0'(sK143)) | ~'m1$usubset$u1'(sK145,'u1$ustruct$u0'(sK143)) | 'r3$ulattices'(sK143,'k4$ulattices'(sK143,sK144,sK145),sK144), inference(resolution, [status(thm)], [c118,d35])).
% 72.97/20.86 cnf(d37, plain, ~'v6$ulattices'(sK143) | ~'v8$ulattices'(sK143) | ~'v9$ulattices'(sK143) | ~'m1$usubset$u1'(sK144,'u1$ustruct$u0'(sK143)) | ~'m1$usubset$u1'(sK145,'u1$ustruct$u0'(sK143)) | 'r3$ulattices'(sK143,'k4$ulattices'(sK143,sK144,sK145),sK144), inference(resolution, [status(thm)], [c120,d36])).
% 72.97/20.86 cnf(d38, plain, ~'v6$ulattices'(sK143) | ~'v8$ulattices'(sK143) | ~'v9$ulattices'(sK143) | ~'m1$usubset$u1'(sK145,'u1$ustruct$u0'(sK143)) | 'r3$ulattices'(sK143,'k4$ulattices'(sK143,sK144,sK145),sK144), inference(resolution, [status(thm)], [c121,d37])).
% 72.97/20.86 cnf(d39, plain, ~'v6$ulattices'(sK143) | ~'v8$ulattices'(sK143) | ~'v9$ulattices'(sK143) | 'r3$ulattices'(sK143,'k4$ulattices'(sK143,sK144,sK145),sK144), inference(resolution, [status(thm)], [c122,d38])).
% 72.97/20.86 cnf(d40, plain, ~'v8$ulattices'(sK143) | ~'v9$ulattices'(sK143) | 'r3$ulattices'(sK143,'k4$ulattices'(sK143,sK144,sK145),sK144), inference(resolution, [status(thm)], [d15,d39])).
% 72.97/20.86 cnf(d41, plain, 'v8$ulattices'(sK143), inference(resolution, [status(thm)], [c8,d14])).
% 72.97/20.86 cnf(d42, plain, ~'v9$ulattices'(sK143) | 'r3$ulattices'(sK143,'k4$ulattices'(sK143,sK144,sK145),sK144), inference(resolution, [status(thm)], [d41,d40])).
% 72.97/20.86 cnf(d43, plain, 'v9$ulattices'(sK143), inference(resolution, [status(thm)], [c9,d14])).
% 72.97/20.86 cnf(d44, plain, 'r3$ulattices'(sK143,'k4$ulattices'(sK143,sK144,sK145),sK144), inference(resolution, [status(thm)], [d43,d42])).
% 72.97/20.86 cnf(d45, plain, ~'r2$uhidden'('k4$ulattices'(sK143,sK144,sK145),'k18$ufilter$u2'(sK143,sK144)) | ~'r2$uhidden'(sK144,'k18$ufilter$u2'(sK143,sK144)), inference(resolution, [status(thm)], [d44,d33])).
% 72.97/20.86 cnf(d46, plain, ~'r2$uhidden'(sK144,'k18$ufilter$u2'(sK143,sK144)) | ~'m1$usubset$u1'('k4$ulattices'(sK143,sK144,sK145),'u1$ustruct$u0'(sK143)) | ~'r3$ulattices'(sK143,'k4$ulattices'(sK143,sK144,sK145),sK144), inference(resolution, [status(thm)], [d45,d9])).
% 72.97/20.86 cnf(d47, plain, ~'r2$uhidden'(sK144,'k18$ufilter$u2'(sK143,sK144)) | ~'r3$ulattices'(sK143,'k4$ulattices'(sK143,sK144,sK145),sK144), inference(resolution, [status(thm)], [d32,d46])).
% 72.97/20.86 cnf(d48, plain, ~'r2$uhidden'(sK144,'k18$ufilter$u2'(sK143,sK144)), inference(resolution, [status(thm)], [d44,d47])).
% 72.97/20.86 cnf(d49, plain, ~'m1$usubset$u1'(sK144,'u1$ustruct$u0'(sK143)) | ~'r3$ulattices'(sK143,sK144,sK144), inference(resolution, [status(thm)], [d48,d9])).
% 72.97/20.86 cnf(d50, plain, ~'r3$ulattices'(sK143,sK144,sK144), inference(resolution, [status(thm)], [c121,d49])).
% 72.97/20.86 cnf(d51, plain, ~'l3$ulattices'(sK143) | 'v3$ustruct$u0'(sK143) | ~'v6$ulattices'(sK143) | ~'v8$ulattices'(sK143) | ~'v9$ulattices'(sK143) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK143)) | 'r3$ulattices'(sK143,X0,X0), inference(resolution, [status(thm)], [c103,c122])).
% 72.97/20.86 cnf(d52, plain, ~'l3$ulattices'(sK143) | ~'v6$ulattices'(sK143) | ~'v8$ulattices'(sK143) | ~'v9$ulattices'(sK143) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK143)) | 'r3$ulattices'(sK143,X0,X0), inference(resolution, [status(thm)], [c118,d51])).
% 72.97/20.86 cnf(d53, plain, ~'v6$ulattices'(sK143) | ~'v8$ulattices'(sK143) | ~'v9$ulattices'(sK143) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK143)) | 'r3$ulattices'(sK143,X0,X0), inference(resolution, [status(thm)], [c120,d52])).
% 72.97/20.86 cnf(d54, plain, ~'v8$ulattices'(sK143) | ~'v9$ulattices'(sK143) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK143)) | 'r3$ulattices'(sK143,X0,X0), inference(resolution, [status(thm)], [d15,d53])).
% 72.97/20.86 cnf(d55, plain, ~'v9$ulattices'(sK143) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK143)) | 'r3$ulattices'(sK143,X0,X0), inference(resolution, [status(thm)], [d41,d54])).
% 72.97/20.86 cnf(d56, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK143)) | 'r3$ulattices'(sK143,X0,X0), inference(resolution, [status(thm)], [d43,d55])).
% 72.97/20.86 cnf(d57, plain, 'r3$ulattices'(sK143,sK144,sK144), inference(resolution, [status(thm)], [d56,c121])).
% 72.97/20.86 cnf(d58, plain, $false, inference(resolution, [status(thm)], [d57,d50])).
% 72.97/20.86 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------