%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT297+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 : 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 07:48:11 AM UTC 2026
% Result : Theorem 46.02s 16.36s
% Output : CNFRefutation 46.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT297+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Fri Sep 25 20:35:19 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 46.02/16.36 % SZS status Theorem for theBenchmark.p
% 46.02/16.36 % SZS output start CNFRefutation for theBenchmark.p
% 46.02/16.36 fof(t7_boole, axiom, ! [X0] : ! [X1] : ~(('r2$uhidden'(X0,X1) & 'v1$uxboole$u0'(X1)))).
% 46.02/16.36 fof(d1_filter_0, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (((~'v1$uxboole$u0'(X1) & 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))) => ('m1$ufilter$u0'(X1,X0) <=> ! [X2] : (('m1$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$ulattices'(X0,X2,X3),X1)))))))))))).
% 46.02/16.36 fof(d10_lattice4, axiom, ! [X0] : (((~'v3$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))))))))))))).
% 46.02/16.36 fof(t11_lattice4, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$ufilter$u0'(X1,X0) => 'm2$ulattice4'(X1,X0)))))).
% 46.02/16.36 fof(t13_filter_2, conjecture, ! [X0] : (((~'v3$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))))))).
% 46.02/16.36 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$ulattice4'(X1,X0)))))), inference(negate_conjecture, [status(cth)], [t13_filter_2])).
% 46.02/16.36 cnf(c9, plain, ~'r2$uhidden'(X0,X1) | ~'v1$uxboole$u0'(X1), inference(clausification, [status(esa)], [t7_boole])).
% 46.02/16.36 cnf(c94, plain, ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1))) | ~'v10$ulattices'(X1) | ~X2(X1,X0) | 'm1$ufilter$u0'(X0,X1) | 'v1$uxboole$u0'(X0) | 'v3$ustruct$u0'(X1) | ~'l3$ulattices'(X1), inference(clausification, [status(esa)], [d1_filter_0])).
% 46.02/16.36 cnf(c98, plain, X0(X1,X2) | 'm1$usubset$u1'(sK145(X1,X2),'u1$ustruct$u0'(X1)), inference(clausification, [status(esa)], [d1_filter_0])).
% 46.02/16.36 cnf(c99, plain, X0(X1,X2) | 'm1$usubset$u1'(sK146(X1,X2),'u1$ustruct$u0'(X1)), inference(clausification, [status(esa)], [d1_filter_0])).
% 46.02/16.36 cnf(c101, plain, X0(X1,X2) | 'r2$uhidden'(sK145(X1,X2),X2) | 'r2$uhidden'('k4$ulattices'(X1,sK145(X1,X2),sK146(X1,X2)),X2), inference(clausification, [status(esa)], [d1_filter_0])).
% 46.02/16.36 cnf(c103, plain, X0(X1,X2) | 'r2$uhidden'(sK146(X1,X2),X2) | 'r2$uhidden'('k4$ulattices'(X1,sK145(X1,X2),sK146(X1,X2)),X2), inference(clausification, [status(esa)], [d1_filter_0])).
% 46.02/16.36 cnf(c104, plain, X0(X1,X2) | ~'r2$uhidden'('k4$ulattices'(X1,sK145(X1,X2),sK146(X1,X2)),X2) | ~'r2$uhidden'(sK145(X1,X2),X2) | ~'r2$uhidden'(sK146(X1,X2),X2), inference(clausification, [status(esa)], [d1_filter_0])).
% 46.02/16.36 cnf(c133, plain, ~'v10$ulattices'(X0) | 'm2$ulattice4'(X1,X0) | 'v3$ustruct$u0'(X0) | ~X2(X0,X1) | ~'m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) | ~'l3$ulattices'(X0), inference(clausification, [status(esa)], [d10_lattice4])).
% 46.02/16.36 cnf(c139, plain, X0(X1,X2) | 'r2$uhidden'(sK182(X1,X2),X2), inference(clausification, [status(esa)], [d10_lattice4])).
% 46.02/16.36 cnf(c142, plain, ~'l3$ulattices'(X0) | 'm2$ulattice4'(X1,X0) | ~'v10$ulattices'(X0) | ~'m1$ufilter$u0'(X1,X0) | 'v3$ustruct$u0'(X0), inference(clausification, [status(esa)], [t11_lattice4])).
% 46.02/16.36 cnf(c148, plain, ~'v3$ustruct$u0'(sK198), inference(clausification, [status(esa)], [negated_conjecture])).
% 46.02/16.36 cnf(c149, plain, 'v10$ulattices'(sK198), inference(clausification, [status(esa)], [negated_conjecture])).
% 46.02/16.36 cnf(c150, plain, 'l3$ulattices'(sK198), inference(clausification, [status(esa)], [negated_conjecture])).
% 46.02/16.36 cnf(c151, plain, 'm1$usubset$u1'(sK199,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK198))), inference(clausification, [status(esa)], [negated_conjecture])).
% 46.02/16.36 cnf(c152, plain, ~'r2$uhidden'(X0,sK199) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK198)) | ~'r2$uhidden'(X1,sK199) | 'r2$uhidden'('k4$ulattices'(sK198,X0,X1),sK199) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK198)), inference(clausification, [status(esa)], [negated_conjecture])).
% 46.02/16.36 cnf(c153, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK198)) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK198)) | 'r2$uhidden'(X0,sK199) | ~'r2$uhidden'('k4$ulattices'(sK198,X0,X1),sK199), inference(clausification, [status(esa)], [negated_conjecture])).
% 46.02/16.36 cnf(c154, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK198)) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(sK198)) | 'r2$uhidden'(X1,sK199) | ~'r2$uhidden'('k4$ulattices'(sK198,X0,X1),sK199), inference(clausification, [status(esa)], [negated_conjecture])).
% 46.02/16.36 cnf(c155, plain, ~'m2$ulattice4'(sK199,sK198), inference(clausification, [status(esa)], [negated_conjecture])).
% 46.02/16.36 cnf(d0, plain, 'v1$uxboole$u0'(sK199) | ~'v10$ulattices'(sK198) | ~'l3$ulattices'(sK198) | 'v3$ustruct$u0'(sK198) | 'm1$ufilter$u0'(sK199,sK198) | ~'Ts140'(sK198,sK199), inference(resolution, [status(thm)], [c94,c151])).
% 46.02/16.36 cnf(d1, plain, 'v1$uxboole$u0'(sK199) | ~'v10$ulattices'(sK198) | ~'l3$ulattices'(sK198) | 'm1$ufilter$u0'(sK199,sK198) | ~'Ts140'(sK198,sK199), inference(resolution, [status(thm)], [c148,d0])).
% 46.02/16.36 cnf(d2, plain, 'v1$uxboole$u0'(sK199) | ~'l3$ulattices'(sK198) | 'm1$ufilter$u0'(sK199,sK198) | ~'Ts140'(sK198,sK199), inference(resolution, [status(thm)], [c149,d1])).
% 46.02/16.36 cnf(d3, plain, 'v1$uxboole$u0'(sK199) | 'm1$ufilter$u0'(sK199,sK198) | ~'Ts140'(sK198,sK199), inference(resolution, [status(thm)], [c150,d2])).
% 46.02/16.36 cnf(d4, plain, 'r2$uhidden'(sK145(sK198,sK199),sK199) | 'Ts140'(sK198,sK199) | 'r2$uhidden'(sK145(sK198,sK199),sK199) | ~'m1$usubset$u1'(sK146(sK198,sK199),'u1$ustruct$u0'(sK198)) | ~'m1$usubset$u1'(sK145(sK198,sK199),'u1$ustruct$u0'(sK198)), inference(resolution, [status(thm)], [c101,c153])).
% 46.02/16.36 cnf(d5, plain, 'r2$uhidden'(sK145(sK198,sK199),sK199) | ~'m1$usubset$u1'(sK145(sK198,sK199),'u1$ustruct$u0'(sK198)) | 'Ts140'(sK198,sK199) | 'Ts140'(sK198,sK199), inference(resolution, [status(thm)], [d4,c99])).
% 46.02/16.36 cnf(d6, plain, 'r2$uhidden'(sK145(sK198,sK199),sK199) | 'Ts140'(sK198,sK199) | 'Ts140'(sK198,sK199), inference(resolution, [status(thm)], [d5,c98])).
% 46.02/16.36 cnf(d7, plain, 'r2$uhidden'(sK146(sK198,sK199),sK199) | 'Ts140'(sK198,sK199) | 'r2$uhidden'(sK146(sK198,sK199),sK199) | ~'m1$usubset$u1'(sK146(sK198,sK199),'u1$ustruct$u0'(sK198)) | ~'m1$usubset$u1'(sK145(sK198,sK199),'u1$ustruct$u0'(sK198)), inference(resolution, [status(thm)], [c103,c154])).
% 46.02/16.36 cnf(d8, plain, 'r2$uhidden'(sK146(sK198,sK199),sK199) | ~'m1$usubset$u1'(sK145(sK198,sK199),'u1$ustruct$u0'(sK198)) | 'Ts140'(sK198,sK199) | 'Ts140'(sK198,sK199), inference(resolution, [status(thm)], [d7,c99])).
% 46.02/16.36 cnf(d9, plain, 'r2$uhidden'(sK146(sK198,sK199),sK199) | 'Ts140'(sK198,sK199) | 'Ts140'(sK198,sK199), inference(resolution, [status(thm)], [d8,c98])).
% 46.02/16.36 cnf(d10, plain, ~'r2$uhidden'(sK145(sK198,sK199),sK199) | ~'r2$uhidden'(sK146(sK198,sK199),sK199) | 'Ts140'(sK198,sK199) | ~'r2$uhidden'(sK145(sK198,sK199),sK199) | ~'r2$uhidden'(sK146(sK198,sK199),sK199) | ~'m1$usubset$u1'(sK145(sK198,sK199),'u1$ustruct$u0'(sK198)) | ~'m1$usubset$u1'(sK146(sK198,sK199),'u1$ustruct$u0'(sK198)), inference(resolution, [status(thm)], [c104,c152])).
% 46.02/16.36 cnf(d11, plain, ~'r2$uhidden'(sK145(sK198,sK199),sK199) | ~'r2$uhidden'(sK146(sK198,sK199),sK199) | ~'m1$usubset$u1'(sK145(sK198,sK199),'u1$ustruct$u0'(sK198)) | 'Ts140'(sK198,sK199) | 'Ts140'(sK198,sK199), inference(resolution, [status(thm)], [d10,c99])).
% 46.02/16.36 cnf(d12, plain, ~'r2$uhidden'(sK145(sK198,sK199),sK199) | ~'r2$uhidden'(sK146(sK198,sK199),sK199) | 'Ts140'(sK198,sK199) | 'Ts140'(sK198,sK199), inference(resolution, [status(thm)], [d11,c98])).
% 46.02/16.36 cnf(d13, plain, ~'r2$uhidden'(sK145(sK198,sK199),sK199) | 'Ts140'(sK198,sK199) | 'Ts140'(sK198,sK199), inference(resolution, [status(thm)], [d12,d9])).
% 46.02/16.36 cnf(d14, plain, 'Ts140'(sK198,sK199) | 'Ts140'(sK198,sK199), inference(resolution, [status(thm)], [d13,d6])).
% 46.02/16.36 cnf(d15, plain, 'v1$uxboole$u0'(sK199) | 'm1$ufilter$u0'(sK199,sK198), inference(resolution, [status(thm)], [d14,d3])).
% 46.02/16.36 cnf(d16, plain, 'Ts176'(X0,X1) | ~'v1$uxboole$u0'(X1), inference(resolution, [status(thm)], [c139,c9])).
% 46.02/16.36 cnf(d17, plain, ~'v10$ulattices'(sK198) | ~'l3$ulattices'(sK198) | 'v3$ustruct$u0'(sK198) | 'm2$ulattice4'(sK199,sK198) | ~'Ts176'(sK198,sK199), inference(resolution, [status(thm)], [c133,c151])).
% 46.02/16.36 cnf(d18, plain, ~'v10$ulattices'(sK198) | ~'l3$ulattices'(sK198) | 'm2$ulattice4'(sK199,sK198) | ~'Ts176'(sK198,sK199), inference(resolution, [status(thm)], [c148,d17])).
% 46.02/16.36 cnf(d19, plain, ~'l3$ulattices'(sK198) | 'm2$ulattice4'(sK199,sK198) | ~'Ts176'(sK198,sK199), inference(resolution, [status(thm)], [c149,d18])).
% 46.02/16.36 cnf(d20, plain, 'm2$ulattice4'(sK199,sK198) | ~'Ts176'(sK198,sK199), inference(resolution, [status(thm)], [c150,d19])).
% 46.02/16.36 cnf(d21, plain, ~'Ts176'(sK198,sK199), inference(resolution, [status(thm)], [c155,d20])).
% 46.02/16.36 cnf(d22, plain, ~'v1$uxboole$u0'(sK199), inference(resolution, [status(thm)], [d21,d16])).
% 46.02/16.36 cnf(d23, plain, 'm1$ufilter$u0'(sK199,sK198), inference(resolution, [status(thm)], [d22,d15])).
% 46.02/16.36 cnf(d24, plain, ~'v10$ulattices'(sK198) | ~'l3$ulattices'(sK198) | 'v3$ustruct$u0'(sK198) | 'm2$ulattice4'(sK199,sK198), inference(resolution, [status(thm)], [c142,d23])).
% 46.02/16.36 cnf(d25, plain, ~'v10$ulattices'(sK198) | ~'l3$ulattices'(sK198) | 'm2$ulattice4'(sK199,sK198), inference(resolution, [status(thm)], [c148,d24])).
% 46.02/16.36 cnf(d26, plain, ~'l3$ulattices'(sK198) | 'm2$ulattice4'(sK199,sK198), inference(resolution, [status(thm)], [c149,d25])).
% 46.02/16.36 cnf(d27, plain, 'm2$ulattice4'(sK199,sK198), inference(resolution, [status(thm)], [c150,d26])).
% 46.02/16.36 cnf(d28, plain, $false, inference(resolution, [status(thm)], [c155,d27])).
% 46.02/16.36 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------