%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT297+1 : 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 : n005.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 07:48:10 AM UTC 2026
% Result : Theorem 51.45s 8.23s
% Output : CNFRefutation 51.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT297+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 20:34:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 51.45/8.23 % SZS status Theorem for theBenchmark.p
% 51.45/8.23 % SZS output start CNFRefutation for theBenchmark.p
% 51.45/8.23 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))))))))))).
% 51.45/8.23 fof(d10_lattice4, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) => ('m2$ulattice4'(X1,X0) <=> ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => ! [X3] : (('m1$usubset$u1'(X3,'u1$ustruct$u0'(X0)) => (('r2$uhidden'(X2,X1) & 'r2$uhidden'(X3,X1)) => ('r2$uhidden'('k4$ulattices'(X0,X2,X3),X1) & 'r2$uhidden'('k3$ulattices'(X0,X2,X3),X1))))))))))))).
% 51.45/8.23 fof(d9_lattices, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & 'l3$ulattices'(X0)) => ('v9$ulattices'(X0) <=> ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => 'k2$ulattices'(X0,X1,'k1$ulattices'(X0,X1,X2)) = X1)))))))).
% 51.45/8.23 fof(dt_k1_lattices, axiom, ! [X0] : ! [X1] : ! [X2] : (((~'v3$ustruct$u0'(X0) & ('l2$ulattices'(X0) & ('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) & 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0))))) => 'm1$usubset$u1'('k1$ulattices'(X0,X1,X2),'u1$ustruct$u0'(X0))))).
% 51.45/8.23 fof(dt_l3_lattices, axiom, ! [X0] : (('l3$ulattices'(X0) => ('l1$ulattices'(X0) & 'l2$ulattices'(X0))))).
% 51.45/8.23 fof(redefinition_k3_lattices, axiom, ! [X0] : ! [X1] : ! [X2] : (((~'v3$ustruct$u0'(X0) & ('v4$ulattices'(X0) & ('l2$ulattices'(X0) & ('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) & 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0)))))) => 'k3$ulattices'(X0,X1,X2) = 'k1$ulattices'(X0,X1,X2)))).
% 51.45/8.23 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)))).
% 51.45/8.23 fof(t4_subset, axiom, ! [X0] : ! [X1] : ! [X2] : ((('r2$uhidden'(X0,X1) & 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X2))) => 'm1$usubset$u1'(X0,X2)))).
% 51.45/8.23 fof(t13_filter_2, conjecture, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) => (! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => ! [X3] : (('m1$usubset$u1'(X3,'u1$ustruct$u0'(X0)) => (('r2$uhidden'(X2,X1) & 'r2$uhidden'(X3,X1)) <=> 'r2$uhidden'('k4$ulattices'(X0,X2,X3),X1)))))) => 'm2$ulattice4'(X1,X0))))))).
% 51.45/8.23 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) => (! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => ! [X3] : (('m1$usubset$u1'(X3,'u1$ustruct$u0'(X0)) => (('r2$uhidden'(X2,X1) & 'r2$uhidden'(X3,X1)) <=> 'r2$uhidden'('k4$ulattices'(X0,X2,X3),X1)))))) => 'm2$ulattice4'(X1,X0)))))), inference(negate_conjecture, [status(cth)], [t13_filter_2])).
% 51.45/8.23 cnf(c2, plain, ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'v10$ulattices'(X0) | X1(X0), inference(clausification, [status(esa)], [cc1_lattices])).
% 51.45/8.23 cnf(c4, plain, ~X0(X1) | 'v4$ulattices'(X1), inference(clausification, [status(esa)], [cc1_lattices])).
% 51.45/8.23 cnf(c6, plain, ~X0(X1) | 'v6$ulattices'(X1), inference(clausification, [status(esa)], [cc1_lattices])).
% 51.45/8.23 cnf(c9, plain, ~X0(X1) | 'v9$ulattices'(X1), inference(clausification, [status(esa)], [cc1_lattices])).
% 51.45/8.23 cnf(c21, plain, ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1))) | ~'v10$ulattices'(X1) | ~'l3$ulattices'(X1) | ~X2(X1,X0) | 'v3$ustruct$u0'(X1) | 'm2$ulattice4'(X0,X1), inference(clausification, [status(esa)], [d10_lattice4])).
% 51.45/8.23 cnf(c26, plain, X0(X1,X2) | 'r2$uhidden'(sK24(X1,X2),X2), inference(clausification, [status(esa)], [d10_lattice4])).
% 51.45/8.23 cnf(c27, plain, X0(X1,X2) | 'r2$uhidden'(sK25(X1,X2),X2), inference(clausification, [status(esa)], [d10_lattice4])).
% 51.45/8.23 cnf(c28, plain, X0(X1,X2) | ~'r2$uhidden'('k4$ulattices'(X1,sK24(X1,X2),sK25(X1,X2)),X2) | ~'r2$uhidden'('k3$ulattices'(X1,sK24(X1,X2),sK25(X1,X2)),X2), inference(clausification, [status(esa)], [d10_lattice4])).
% 51.45/8.23 cnf(c33, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X1)) | 'k2$ulattices'(X1,X2,'k1$ulattices'(X1,X2,X0)) = X2 | 'v3$ustruct$u0'(X1) | ~'v9$ulattices'(X1) | ~'l3$ulattices'(X1), inference(clausification, [status(esa)], [d9_lattices])).
% 51.45/8.23 cnf(c37, plain, 'm1$usubset$u1'('k1$ulattices'(X0,X1,X2),'u1$ustruct$u0'(X0)) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) | ~'l2$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [dt_k1_lattices])).
% 51.45/8.23 cnf(c44, plain, ~'l3$ulattices'(X0) | 'l1$ulattices'(X0), inference(clausification, [status(esa)], [dt_l3_lattices])).
% 51.45/8.23 cnf(c45, plain, ~'l3$ulattices'(X0) | 'l2$ulattices'(X0), inference(clausification, [status(esa)], [dt_l3_lattices])).
% 51.45/8.23 cnf(c120, plain, 'k3$ulattices'(X0,X1,X2) = 'k1$ulattices'(X0,X1,X2) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | ~'l2$ulattices'(X0) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) | 'v3$ustruct$u0'(X0) | ~'v4$ulattices'(X0), inference(clausification, [status(esa)], [redefinition_k3_lattices])).
% 51.45/8.23 cnf(c121, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) | 'v3$ustruct$u0'(X1) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X1)) | ~'v6$ulattices'(X1) | 'k4$ulattices'(X1,X0,X2) = 'k2$ulattices'(X1,X0,X2) | ~'l1$ulattices'(X1), inference(clausification, [status(esa)], [redefinition_k4_lattices])).
% 51.45/8.23 cnf(c129, plain, ~'r2$uhidden'(X0,X1) | ~'m1$usubset$u1'(X1,'k1$uzfmisc$u1'(X2)) | 'm1$usubset$u1'(X0,X2), inference(clausification, [status(esa)], [t4_subset])).
% 51.45/8.23 cnf(c134, plain, ~'v3$ustruct$u0'(sK150), inference(clausification, [status(esa)], [negated_conjecture])).
% 51.45/8.23 cnf(c135, plain, 'v10$ulattices'(sK150), inference(clausification, [status(esa)], [negated_conjecture])).
% 51.45/8.23 cnf(c136, plain, 'l3$ulattices'(sK150), inference(clausification, [status(esa)], [negated_conjecture])).
% 51.45/8.23 cnf(c137, plain, 'm1$usubset$u1'(sK151,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK150))), inference(clausification, [status(esa)], [negated_conjecture])).
% 51.45/8.23 cnf(c138, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK150)) | ~'r2$uhidden'(X1,sK151) | ~'r2$uhidden'(X0,sK151) | 'r2$uhidden'('k4$ulattices'(sK150,X1,X0),sK151) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK150)), inference(clausification, [status(esa)], [negated_conjecture])).
% 51.45/8.23 cnf(c140, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK150)) | 'r2$uhidden'(X1,sK151) | ~'r2$uhidden'('k4$ulattices'(sK150,X0,X1),sK151), inference(clausification, [status(esa)], [negated_conjecture])).
% 51.45/8.23 cnf(c141, plain, ~'m2$ulattice4'(sK151,sK150), inference(clausification, [status(esa)], [negated_conjecture])).
% 51.45/8.23 cnf(d0, plain, ~'r2$uhidden'(X0,sK151) | 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK150)), inference(resolution, [status(thm)], [c129,c137])).
% 51.45/8.23 cnf(d1, plain, ~'r2$uhidden'('k3$ulattices'(sK150,sK24(sK150,sK151),sK25(sK150,sK151)),sK151) | 'Ts19'(sK150,sK151) | ~'r2$uhidden'(sK25(sK150,sK151),sK151) | ~'r2$uhidden'(sK24(sK150,sK151),sK151) | ~'m1$usubset$u1'(sK25(sK150,sK151),'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(sK24(sK150,sK151),'u1$ustruct$u0'(sK150)), inference(resolution, [status(thm)], [c28,c138])).
% 51.45/8.23 cnf(d2, plain, ~'v10$ulattices'(sK150) | ~'l3$ulattices'(sK150) | 'v3$ustruct$u0'(sK150) | 'm2$ulattice4'(sK151,sK150) | ~'Ts19'(sK150,sK151), inference(resolution, [status(thm)], [c21,c137])).
% 51.45/8.23 cnf(d3, plain, ~'v10$ulattices'(sK150) | ~'l3$ulattices'(sK150) | 'm2$ulattice4'(sK151,sK150) | ~'Ts19'(sK150,sK151), inference(resolution, [status(thm)], [c134,d2])).
% 51.45/8.23 cnf(d4, plain, ~'l3$ulattices'(sK150) | 'm2$ulattice4'(sK151,sK150) | ~'Ts19'(sK150,sK151), inference(resolution, [status(thm)], [c135,d3])).
% 51.45/8.23 cnf(d5, plain, 'm2$ulattice4'(sK151,sK150) | ~'Ts19'(sK150,sK151), inference(resolution, [status(thm)], [c136,d4])).
% 51.45/8.23 cnf(d6, plain, ~'Ts19'(sK150,sK151), inference(resolution, [status(thm)], [c141,d5])).
% 51.45/8.23 cnf(d7, plain, ~'r2$uhidden'('k3$ulattices'(sK150,sK24(sK150,sK151),sK25(sK150,sK151)),sK151) | ~'r2$uhidden'(sK24(sK150,sK151),sK151) | ~'r2$uhidden'(sK25(sK150,sK151),sK151) | ~'m1$usubset$u1'(sK24(sK150,sK151),'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(sK25(sK150,sK151),'u1$ustruct$u0'(sK150)), inference(resolution, [status(thm)], [d6,d1])).
% 51.45/8.23 cnf(d8, plain, 'k4$ulattices'(X0,X1,'k1$ulattices'(X0,X1,X2)) = X1 | ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'v9$ulattices'(X0) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) | 'v3$ustruct$u0'(X0) | ~'v6$ulattices'(X0) | ~'m1$usubset$u1'('k1$ulattices'(X0,X1,X2),'u1$ustruct$u0'(X0)) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | ~'l1$ulattices'(X0), inference(superposition, [status(thm)], [c121,c33])).
% 51.45/8.23 cnf(d9, plain, ~'r2$uhidden'(X0,sK151) | 'r2$uhidden'('k1$ulattices'(sK150,X0,X1),sK151) | ~'m1$usubset$u1'('k1$ulattices'(sK150,X0,X1),'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK150)) | ~'l3$ulattices'(sK150) | 'v3$ustruct$u0'(sK150) | ~'v6$ulattices'(sK150) | ~'v9$ulattices'(sK150) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'('k1$ulattices'(sK150,X0,X1),'u1$ustruct$u0'(sK150)) | ~'l1$ulattices'(sK150), inference(superposition, [status(thm)], [d8,c140])).
% 51.45/8.23 cnf(d10, plain, ~'r2$uhidden'(X0,sK151) | 'r2$uhidden'('k1$ulattices'(sK150,X0,X1),sK151) | ~'l3$ulattices'(sK150) | ~'v6$ulattices'(sK150) | ~'v9$ulattices'(sK150) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'('k1$ulattices'(sK150,X0,X1),'u1$ustruct$u0'(sK150)) | ~'l1$ulattices'(sK150), inference(resolution, [status(thm)], [c134,d9])).
% 51.45/8.23 cnf(d11, plain, ~'r2$uhidden'(X0,sK151) | 'r2$uhidden'('k1$ulattices'(sK150,X0,X1),sK151) | ~'v6$ulattices'(sK150) | ~'v9$ulattices'(sK150) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'('k1$ulattices'(sK150,X0,X1),'u1$ustruct$u0'(sK150)) | ~'l1$ulattices'(sK150), inference(resolution, [status(thm)], [c136,d10])).
% 51.45/8.23 cnf(d12, plain, ~'v10$ulattices'(sK150) | 'v3$ustruct$u0'(sK150) | 'Ts3'(sK150), inference(resolution, [status(thm)], [c2,c136])).
% 51.45/8.23 cnf(d13, plain, ~'v10$ulattices'(sK150) | 'Ts3'(sK150), inference(resolution, [status(thm)], [c134,d12])).
% 51.45/8.23 cnf(d14, plain, 'Ts3'(sK150), inference(resolution, [status(thm)], [c135,d13])).
% 51.45/8.23 cnf(d15, plain, 'v6$ulattices'(sK150), inference(resolution, [status(thm)], [c6,d14])).
% 51.45/8.23 cnf(d16, plain, ~'r2$uhidden'(X0,sK151) | 'r2$uhidden'('k1$ulattices'(sK150,X0,X1),sK151) | ~'v9$ulattices'(sK150) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'('k1$ulattices'(sK150,X0,X1),'u1$ustruct$u0'(sK150)) | ~'l1$ulattices'(sK150), inference(resolution, [status(thm)], [d15,d11])).
% 51.45/8.23 cnf(d17, plain, 'v9$ulattices'(sK150), inference(resolution, [status(thm)], [c9,d14])).
% 51.45/8.23 cnf(d18, plain, ~'r2$uhidden'(X0,sK151) | 'r2$uhidden'('k1$ulattices'(sK150,X0,X1),sK151) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'('k1$ulattices'(sK150,X0,X1),'u1$ustruct$u0'(sK150)) | ~'l1$ulattices'(sK150), inference(resolution, [status(thm)], [d17,d16])).
% 51.45/8.23 cnf(d19, plain, 'l1$ulattices'(sK150), inference(resolution, [status(thm)], [c44,c136])).
% 51.45/8.23 cnf(d20, plain, ~'r2$uhidden'(X0,sK151) | 'r2$uhidden'('k1$ulattices'(sK150,X0,X1),sK151) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'('k1$ulattices'(sK150,X0,X1),'u1$ustruct$u0'(sK150)), inference(resolution, [status(thm)], [d19,d18])).
% 51.45/8.23 cnf(d21, plain, ~'r2$uhidden'(X0,sK151) | 'r2$uhidden'('k1$ulattices'(sK150,X0,X1),sK151) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK150)) | 'v3$ustruct$u0'(sK150) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK150)) | ~'l2$ulattices'(sK150), inference(resolution, [status(thm)], [d20,c37])).
% 51.45/8.23 cnf(d22, plain, ~'r2$uhidden'(X0,sK151) | 'r2$uhidden'('k1$ulattices'(sK150,X0,X1),sK151) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK150)) | ~'l2$ulattices'(sK150), inference(resolution, [status(thm)], [c134,d21])).
% 51.45/8.23 cnf(d23, plain, 'l2$ulattices'(sK150), inference(resolution, [status(thm)], [c45,c136])).
% 51.45/8.23 cnf(d24, plain, ~'r2$uhidden'(X0,sK151) | 'r2$uhidden'('k1$ulattices'(sK150,X0,X1),sK151) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK150)), inference(resolution, [status(thm)], [d23,d22])).
% 51.45/8.23 cnf(d25, plain, 'r2$uhidden'('k3$ulattices'(sK150,X0,X1),sK151) | ~'r2$uhidden'(X0,sK151) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK150)) | 'v3$ustruct$u0'(sK150) | ~'v4$ulattices'(sK150) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK150)) | ~'l2$ulattices'(sK150), inference(superposition, [status(thm)], [c120,d24])).
% 51.45/8.23 cnf(d26, plain, ~'r2$uhidden'(X0,sK151) | 'r2$uhidden'('k3$ulattices'(sK150,X0,X1),sK151) | ~'v4$ulattices'(sK150) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK150)) | ~'l2$ulattices'(sK150), inference(resolution, [status(thm)], [c134,d25])).
% 51.45/8.23 cnf(d27, plain, 'v4$ulattices'(sK150), inference(resolution, [status(thm)], [c4,d14])).
% 51.45/8.23 cnf(d28, plain, ~'r2$uhidden'(X0,sK151) | 'r2$uhidden'('k3$ulattices'(sK150,X0,X1),sK151) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK150)) | ~'l2$ulattices'(sK150), inference(resolution, [status(thm)], [d27,d26])).
% 51.45/8.23 cnf(d29, plain, ~'r2$uhidden'(X0,sK151) | 'r2$uhidden'('k3$ulattices'(sK150,X0,X1),sK151) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK150)), inference(resolution, [status(thm)], [d23,d28])).
% 51.45/8.23 cnf(d30, plain, ~'r2$uhidden'(sK24(sK150,sK151),sK151) | ~'m1$usubset$u1'(sK25(sK150,sK151),'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(sK24(sK150,sK151),'u1$ustruct$u0'(sK150)) | ~'r2$uhidden'(sK24(sK150,sK151),sK151) | ~'r2$uhidden'(sK25(sK150,sK151),sK151) | ~'m1$usubset$u1'(sK24(sK150,sK151),'u1$ustruct$u0'(sK150)) | ~'m1$usubset$u1'(sK25(sK150,sK151),'u1$ustruct$u0'(sK150)), inference(resolution, [status(thm)], [d29,d7])).
% 51.45/8.23 cnf(d31, plain, ~'r2$uhidden'(sK24(sK150,sK151),sK151) | ~'r2$uhidden'(sK25(sK150,sK151),sK151) | ~'m1$usubset$u1'(sK24(sK150,sK151),'u1$ustruct$u0'(sK150)) | ~'r2$uhidden'(sK25(sK150,sK151),sK151), inference(resolution, [status(thm)], [d30,d0])).
% 51.45/8.23 cnf(d32, plain, ~'r2$uhidden'(sK24(sK150,sK151),sK151) | ~'r2$uhidden'(sK25(sK150,sK151),sK151) | ~'r2$uhidden'(sK24(sK150,sK151),sK151), inference(resolution, [status(thm)], [d31,d0])).
% 51.45/8.23 cnf(d33, plain, ~'r2$uhidden'(sK24(sK150,sK151),sK151) | 'Ts19'(sK150,sK151), inference(resolution, [status(thm)], [d32,c27])).
% 51.45/8.23 cnf(d34, plain, ~'r2$uhidden'(sK24(sK150,sK151),sK151), inference(resolution, [status(thm)], [d6,d33])).
% 51.45/8.23 cnf(d35, plain, 'Ts19'(sK150,sK151), inference(resolution, [status(thm)], [d34,c26])).
% 51.45/8.23 cnf(d36, plain, $false, inference(resolution, [status(thm)], [d6,d35])).
% 51.45/8.23 % SZS output end CNFRefutation for theBenchmark.p
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