%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT356+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 : n013.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 07:48:27 AM UTC 2026
% Result : Theorem 79.32s 11.29s
% Output : CNFRefutation 79.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT356+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
% 0.09/0.37 % Computer : n013.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 21:15:21 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 79.32/11.29 % SZS status Theorem for theBenchmark.p
% 79.32/11.29 % SZS output start CNFRefutation for theBenchmark.p
% 79.32/11.29 fof(cc1_lattice3, axiom, ! [X0] : (('l1$uorders$u2'(X0) => ('v1$ulattice3'(X0) => ~'v3$ustruct$u0'(X0))))).
% 79.32/11.29 fof(d1_waybel34, axiom, ! [X0] : ((('v2$uorders$u2'(X0) & ('v3$uorders$u2'(X0) & ('v4$uorders$u2'(X0) & ('v1$ulattice3'(X0) & ('v2$ulattice3'(X0) & 'l1$uorders$u2'(X0)))))) => ! [X1] : ((('v2$uorders$u2'(X1) & ('v3$uorders$u2'(X1) & ('v4$uorders$u2'(X1) & ('v1$ulattice3'(X1) & ('v2$ulattice3'(X1) & 'l1$uorders$u2'(X1)))))) => ! [X2] : ((('v1$ufunct$u1'(X2) & ('v1$ufunct$u2'(X2,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)) & 'm2$urelset$u1'(X2,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)))) => (('v3$ulattice3'(X0) & ('v3$ulattice3'(X1) & 'v17$uwaybel$u0'(X2,X0,X1))) => ! [X3] : ((('v1$ufunct$u1'(X3) & ('v1$ufunct$u2'(X3,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X0)) & 'm2$urelset$u1'(X3,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X0)))) => (X3 = 'k1$uwaybel34'(X0,X1,X2) <=> 'v3$uwaybel$u1'('k1$uwaybel$u1'(X0,X1,X2,X3),X0,X1)))))))))))).
% 79.32/11.29 fof(d2_waybel34, axiom, ! [X0] : ((('v2$uorders$u2'(X0) & ('v3$uorders$u2'(X0) & ('v4$uorders$u2'(X0) & ('v1$ulattice3'(X0) & ('v2$ulattice3'(X0) & 'l1$uorders$u2'(X0)))))) => ! [X1] : ((('v2$uorders$u2'(X1) & ('v3$uorders$u2'(X1) & ('v4$uorders$u2'(X1) & ('v1$ulattice3'(X1) & ('v2$ulattice3'(X1) & 'l1$uorders$u2'(X1)))))) => ! [X2] : ((('v1$ufunct$u1'(X2) & ('v1$ufunct$u2'(X2,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X0)) & 'm2$urelset$u1'(X2,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X0)))) => (('v3$ulattice3'(X0) & ('v3$ulattice3'(X1) & 'v18$uwaybel$u0'(X2,X1,X0))) => ! [X3] : ((('v1$ufunct$u1'(X3) & ('v1$ufunct$u2'(X3,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)) & 'm2$urelset$u1'(X3,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)))) => (X3 = 'k2$uwaybel34'(X0,X1,X2) <=> 'v3$uwaybel$u1'('k1$uwaybel$u1'(X0,X1,X3,X2),X0,X1)))))))))))).
% 79.32/11.29 fof(dt_k7_grcat_1, axiom, ! [X0] : (('l1$ustruct$u0'(X0) => ('v1$ufunct$u1'('k7$ugrcat$u1'(X0)) & ('v1$ufunct$u2'('k7$ugrcat$u1'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) & 'm2$urelset$u1'('k7$ugrcat$u1'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0))))))).
% 79.32/11.29 fof(dt_l1_orders_2, axiom, ! [X0] : (('l1$uorders$u2'(X0) => 'l1$ustruct$u0'(X0)))).
% 79.32/11.29 fof(fc4_waybel10, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v2$uorders$u2'(X0) & 'l1$uorders$u2'(X0))) => ('v1$urelat$u1'('k7$ugrcat$u1'(X0)) & ('v1$ufunct$u1'('k7$ugrcat$u1'(X0)) & ('v2$ufunct$u1'('k7$ugrcat$u1'(X0)) & (~'v1$uxboole$u0'('k7$ugrcat$u1'(X0)) & ('v1$ufunct$u2'('k7$ugrcat$u1'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) & ('v1$upartfun1'('k7$ugrcat$u1'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) & ('v11$uquantal1'('k7$ugrcat$u1'(X0)) & ('v5$uorders$u3'('k7$ugrcat$u1'(X0),X0,X0) & ('v17$uwaybel$u0'('k7$ugrcat$u1'(X0),X0,X0) & ('v18$uwaybel$u0'('k7$ugrcat$u1'(X0),X0,X0) & ('v19$uwaybel$u0'('k7$ugrcat$u1'(X0),X0,X0) & ('v20$uwaybel$u0'('k7$ugrcat$u1'(X0),X0,X0) & ('v21$uwaybel$u0'('k7$ugrcat$u1'(X0),X0,X0) & ('v22$uwaybel$u0'('k7$ugrcat$u1'(X0),X0,X0) & ('v23$uwaybel$u0'('k7$ugrcat$u1'(X0),X0,X0) & ('v6$uwaybel$u1'('k7$ugrcat$u1'(X0),X0) & ('v7$uwaybel$u1'('k7$ugrcat$u1'(X0),X0) & 'v8$uwaybel$u1'('k7$ugrcat$u1'(X0),X0))))))))))))))))))))).
% 79.32/11.29 fof(fc4_waybel_1, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v2$uorders$u2'(X0) & 'l1$uorders$u2'(X0))) => ('v1$urelat$u1'('k7$ugrcat$u1'(X0)) & ('v1$ufunct$u1'('k7$ugrcat$u1'(X0)) & ('v2$ufunct$u1'('k7$ugrcat$u1'(X0)) & (~'v1$uxboole$u0'('k7$ugrcat$u1'(X0)) & ('v1$ufunct$u2'('k7$ugrcat$u1'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) & ('v1$upartfun1'('k7$ugrcat$u1'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) & ('v5$uorders$u3'('k7$ugrcat$u1'(X0),X0,X0) & ('v23$uwaybel$u0'('k7$ugrcat$u1'(X0),X0,X0) & ('v6$uwaybel$u1'('k7$ugrcat$u1'(X0),X0) & 'v7$uwaybel$u1'('k7$ugrcat$u1'(X0),X0))))))))))))).
% 79.32/11.29 fof(t6_waybel34, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & 'l1$uorders$u2'(X0)) => 'v3$uwaybel$u1'('k1$uwaybel$u1'(X0,X0,'k7$ugrcat$u1'(X0),'k7$ugrcat$u1'(X0)),X0,X0)))).
% 79.32/11.29 fof(t7_waybel34, conjecture, ! [X0] : ((('v2$uorders$u2'(X0) & ('v3$uorders$u2'(X0) & ('v4$uorders$u2'(X0) & ('v1$ulattice3'(X0) & ('v2$ulattice3'(X0) & ('v3$ulattice3'(X0) & 'l1$uorders$u2'(X0))))))) => ('k1$uwaybel34'(X0,X0,'k7$ugrcat$u1'(X0)) = 'k7$ugrcat$u1'(X0) & 'k2$uwaybel34'(X0,X0,'k7$ugrcat$u1'(X0)) = 'k7$ugrcat$u1'(X0))))).
% 79.32/11.29 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((('v2$uorders$u2'(X0) & ('v3$uorders$u2'(X0) & ('v4$uorders$u2'(X0) & ('v1$ulattice3'(X0) & ('v2$ulattice3'(X0) & ('v3$ulattice3'(X0) & 'l1$uorders$u2'(X0))))))) => ('k1$uwaybel34'(X0,X0,'k7$ugrcat$u1'(X0)) = 'k7$ugrcat$u1'(X0) & 'k2$uwaybel34'(X0,X0,'k7$ugrcat$u1'(X0)) = 'k7$ugrcat$u1'(X0)))), inference(negate_conjecture, [status(cth)], [t7_waybel34])).
% 79.32/11.29 cnf(c63, plain, ~'l1$uorders$u2'(X0) | ~'v1$ulattice3'(X0) | ~'v3$ustruct$u0'(X0), inference(clausification, [status(esa)], [cc1_lattice3])).
% 79.32/11.29 cnf(c164, plain, ~'v4$uorders$u2'(X0) | ~'v1$ulattice3'(X1) | ~'m2$urelset$u1'(X2,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X0)) | ~'v1$ufunct$u2'(X3,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)) | X3 = 'k1$uwaybel34'(X1,X0,X2) | ~'v3$uorders$u2'(X1) | ~'v3$uorders$u2'(X0) | ~'v3$ulattice3'(X0) | ~'v1$ulattice3'(X0) | ~'v1$ufunct$u1'(X2) | ~'v3$ulattice3'(X1) | ~'v3$uwaybel$u1'('k1$uwaybel$u1'(X1,X0,X2,X3),X1,X0) | ~'v2$uorders$u2'(X1) | ~'l1$uorders$u2'(X0) | ~'v4$uorders$u2'(X1) | ~'v1$ufunct$u2'(X2,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X0)) | ~'v1$ufunct$u1'(X3) | ~'m2$urelset$u1'(X3,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)) | ~'v17$uwaybel$u0'(X2,X1,X0) | ~'v2$ulattice3'(X0) | ~'v2$ulattice3'(X1) | ~'l1$uorders$u2'(X1) | ~'v2$uorders$u2'(X0), inference(clausification, [status(esa)], [d1_waybel34])).
% 79.32/11.29 cnf(c166, plain, ~'v3$uwaybel$u1'('k1$uwaybel$u1'(X0,X1,X2,X3),X0,X1) | X2 = 'k2$uwaybel34'(X0,X1,X3) | ~'v1$ufunct$u2'(X2,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)) | ~'m2$urelset$u1'(X3,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X0)) | ~'m2$urelset$u1'(X2,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)) | ~'v2$ulattice3'(X0) | ~'v18$uwaybel$u0'(X3,X1,X0) | ~'v1$ulattice3'(X0) | ~'v2$uorders$u2'(X1) | ~'v4$uorders$u2'(X0) | ~'v3$ulattice3'(X1) | ~'v2$ulattice3'(X1) | ~'v3$uorders$u2'(X1) | ~'l1$uorders$u2'(X1) | ~'v2$uorders$u2'(X0) | ~'v3$ulattice3'(X0) | ~'v1$ulattice3'(X1) | ~'v1$ufunct$u1'(X2) | ~'v3$uorders$u2'(X0) | ~'v1$ufunct$u1'(X3) | ~'v1$ufunct$u2'(X3,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X0)) | ~'v4$uorders$u2'(X1) | ~'l1$uorders$u2'(X0), inference(clausification, [status(esa)], [d2_waybel34])).
% 79.32/11.29 cnf(c177, plain, ~'l1$ustruct$u0'(X0) | 'm2$urelset$u1'('k7$ugrcat$u1'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [dt_k7_grcat_1])).
% 79.32/11.29 cnf(c178, plain, ~'l1$uorders$u2'(X0) | 'l1$ustruct$u0'(X0), inference(clausification, [status(esa)], [dt_l1_orders_2])).
% 79.32/11.29 cnf(c262, plain, 'v3$ustruct$u0'(X0) | ~'v2$uorders$u2'(X0) | ~'l1$uorders$u2'(X0) | X1(X0), inference(clausification, [status(esa)], [fc4_waybel10])).
% 79.32/11.29 cnf(c264, plain, ~X0(X1) | 'v1$ufunct$u1'('k7$ugrcat$u1'(X1)), inference(clausification, [status(esa)], [fc4_waybel10])).
% 79.32/11.29 cnf(c271, plain, ~X0(X1) | 'v17$uwaybel$u0'('k7$ugrcat$u1'(X1),X1,X1), inference(clausification, [status(esa)], [fc4_waybel10])).
% 79.32/11.29 cnf(c272, plain, ~X0(X1) | 'v18$uwaybel$u0'('k7$ugrcat$u1'(X1),X1,X1), inference(clausification, [status(esa)], [fc4_waybel10])).
% 79.32/11.29 cnf(c281, plain, 'v3$ustruct$u0'(X0) | ~'v2$uorders$u2'(X0) | ~'l1$uorders$u2'(X0) | X1(X0), inference(clausification, [status(esa)], [fc4_waybel_1])).
% 79.32/11.29 cnf(c286, plain, ~X0(X1) | 'v1$ufunct$u2'('k7$ugrcat$u1'(X1),'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X1)), inference(clausification, [status(esa)], [fc4_waybel_1])).
% 79.32/11.29 cnf(c447, plain, 'v3$ustruct$u0'(X0) | ~'l1$uorders$u2'(X0) | 'v3$uwaybel$u1'('k1$uwaybel$u1'(X0,X0,'k7$ugrcat$u1'(X0),'k7$ugrcat$u1'(X0)),X0,X0), inference(clausification, [status(esa)], [t6_waybel34])).
% 79.32/11.29 cnf(c450, plain, 'v2$uorders$u2'(sK245), inference(clausification, [status(esa)], [negated_conjecture])).
% 79.32/11.29 cnf(c451, plain, 'v3$uorders$u2'(sK245), inference(clausification, [status(esa)], [negated_conjecture])).
% 79.32/11.29 cnf(c452, plain, 'v4$uorders$u2'(sK245), inference(clausification, [status(esa)], [negated_conjecture])).
% 79.32/11.29 cnf(c453, plain, 'v1$ulattice3'(sK245), inference(clausification, [status(esa)], [negated_conjecture])).
% 79.32/11.29 cnf(c454, plain, 'v2$ulattice3'(sK245), inference(clausification, [status(esa)], [negated_conjecture])).
% 79.32/11.29 cnf(c455, plain, 'v3$ulattice3'(sK245), inference(clausification, [status(esa)], [negated_conjecture])).
% 79.32/11.29 cnf(c456, plain, 'l1$uorders$u2'(sK245), inference(clausification, [status(esa)], [negated_conjecture])).
% 79.32/11.29 cnf(c457, plain, 'k1$uwaybel34'(sK245,sK245,'k7$ugrcat$u1'(sK245)) != 'k7$ugrcat$u1'(sK245) | 'k2$uwaybel34'(sK245,sK245,'k7$ugrcat$u1'(sK245)) != 'k7$ugrcat$u1'(sK245), inference(clausification, [status(esa)], [negated_conjecture])).
% 79.32/11.29 cnf(d0, plain, 'v3$ustruct$u0'(X0) | ~'l1$uorders$u2'(X0) | 'k7$ugrcat$u1'(X0) = 'k2$uwaybel34'(X0,X0,'k7$ugrcat$u1'(X0)) | ~'v3$ulattice3'(X0) | ~'v3$ulattice3'(X0) | ~'v2$uorders$u2'(X0) | ~'v2$uorders$u2'(X0) | ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'(X0) | ~'v3$uorders$u2'(X0) | ~'v3$uorders$u2'(X0) | ~'v1$ulattice3'(X0) | ~'v1$ulattice3'(X0) | ~'v4$uorders$u2'(X0) | ~'v4$uorders$u2'(X0) | ~'v2$ulattice3'(X0) | ~'v2$ulattice3'(X0) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(X0)) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(X0)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(X0),X0,X0) | ~'m2$urelset$u1'('k7$ugrcat$u1'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) | ~'m2$urelset$u1'('k7$ugrcat$u1'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)), inference(resolution, [status(thm)], [c447,c166])).
% 79.32/11.29 cnf(d1, plain, 'k7$ugrcat$u1'(sK245) != 'k7$ugrcat$u1'(sK245) | 'k1$uwaybel34'(sK245,sK245,'k7$ugrcat$u1'(sK245)) != 'k7$ugrcat$u1'(sK245) | 'v3$ustruct$u0'(sK245) | ~'v3$ulattice3'(sK245) | ~'v2$uorders$u2'(sK245) | ~'l1$uorders$u2'(sK245) | ~'v3$uorders$u2'(sK245) | ~'v1$ulattice3'(sK245) | ~'v4$uorders$u2'(sK245) | ~'v2$ulattice3'(sK245) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)), inference(superposition, [status(thm)], [d0,c457])).
% 79.32/11.29 cnf(d2, plain, 'k1$uwaybel34'(sK245,sK245,'k7$ugrcat$u1'(sK245)) != 'k7$ugrcat$u1'(sK245) | 'k7$ugrcat$u1'(sK245) != 'k7$ugrcat$u1'(sK245) | 'v3$ustruct$u0'(sK245) | ~'v3$ulattice3'(sK245) | ~'l1$uorders$u2'(sK245) | ~'v3$uorders$u2'(sK245) | ~'v1$ulattice3'(sK245) | ~'v4$uorders$u2'(sK245) | ~'v2$ulattice3'(sK245) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)), inference(resolution, [status(thm)], [c450,d1])).
% 79.32/11.29 cnf(d3, plain, 'k1$uwaybel34'(sK245,sK245,'k7$ugrcat$u1'(sK245)) != 'k7$ugrcat$u1'(sK245) | 'k7$ugrcat$u1'(sK245) != 'k7$ugrcat$u1'(sK245) | 'v3$ustruct$u0'(sK245) | ~'v3$ulattice3'(sK245) | ~'l1$uorders$u2'(sK245) | ~'v1$ulattice3'(sK245) | ~'v4$uorders$u2'(sK245) | ~'v2$ulattice3'(sK245) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)), inference(resolution, [status(thm)], [c451,d2])).
% 79.32/11.29 cnf(d4, plain, 'k1$uwaybel34'(sK245,sK245,'k7$ugrcat$u1'(sK245)) != 'k7$ugrcat$u1'(sK245) | 'k7$ugrcat$u1'(sK245) != 'k7$ugrcat$u1'(sK245) | 'v3$ustruct$u0'(sK245) | ~'v3$ulattice3'(sK245) | ~'l1$uorders$u2'(sK245) | ~'v1$ulattice3'(sK245) | ~'v2$ulattice3'(sK245) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)), inference(resolution, [status(thm)], [c452,d3])).
% 79.32/11.29 cnf(d5, plain, 'k1$uwaybel34'(sK245,sK245,'k7$ugrcat$u1'(sK245)) != 'k7$ugrcat$u1'(sK245) | 'k7$ugrcat$u1'(sK245) != 'k7$ugrcat$u1'(sK245) | 'v3$ustruct$u0'(sK245) | ~'v3$ulattice3'(sK245) | ~'l1$uorders$u2'(sK245) | ~'v2$ulattice3'(sK245) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)), inference(resolution, [status(thm)], [c453,d4])).
% 79.32/11.29 cnf(d6, plain, 'k1$uwaybel34'(sK245,sK245,'k7$ugrcat$u1'(sK245)) != 'k7$ugrcat$u1'(sK245) | 'k7$ugrcat$u1'(sK245) != 'k7$ugrcat$u1'(sK245) | 'v3$ustruct$u0'(sK245) | ~'v3$ulattice3'(sK245) | ~'l1$uorders$u2'(sK245) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)), inference(resolution, [status(thm)], [c454,d5])).
% 79.32/11.29 cnf(d7, plain, 'k1$uwaybel34'(sK245,sK245,'k7$ugrcat$u1'(sK245)) != 'k7$ugrcat$u1'(sK245) | 'k7$ugrcat$u1'(sK245) != 'k7$ugrcat$u1'(sK245) | 'v3$ustruct$u0'(sK245) | ~'l1$uorders$u2'(sK245) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)), inference(resolution, [status(thm)], [c455,d6])).
% 79.32/11.29 cnf(d8, plain, 'k1$uwaybel34'(sK245,sK245,'k7$ugrcat$u1'(sK245)) != 'k7$ugrcat$u1'(sK245) | 'k7$ugrcat$u1'(sK245) != 'k7$ugrcat$u1'(sK245) | 'v3$ustruct$u0'(sK245) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)), inference(resolution, [status(thm)], [c456,d7])).
% 79.32/11.29 cnf(d9, plain, ~'v3$ustruct$u0'(sK245) | ~'l1$uorders$u2'(sK245), inference(resolution, [status(thm)], [c63,c453])).
% 79.32/11.29 cnf(d10, plain, ~'v3$ustruct$u0'(sK245), inference(resolution, [status(thm)], [c456,d9])).
% 79.32/11.29 cnf(d11, plain, 'k1$uwaybel34'(sK245,sK245,'k7$ugrcat$u1'(sK245)) != 'k7$ugrcat$u1'(sK245) | 'k7$ugrcat$u1'(sK245) != 'k7$ugrcat$u1'(sK245) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)), inference(resolution, [status(thm)], [d10,d8])).
% 79.32/11.29 cnf(d12, plain, 'v3$ustruct$u0'(X0) | ~'l1$uorders$u2'(X0) | 'k7$ugrcat$u1'(X0) = 'k1$uwaybel34'(X0,X0,'k7$ugrcat$u1'(X0)) | ~'v3$ulattice3'(X0) | ~'v3$ulattice3'(X0) | ~'v2$uorders$u2'(X0) | ~'v2$uorders$u2'(X0) | ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'(X0) | ~'v3$uorders$u2'(X0) | ~'v3$uorders$u2'(X0) | ~'v1$ulattice3'(X0) | ~'v1$ulattice3'(X0) | ~'v4$uorders$u2'(X0) | ~'v4$uorders$u2'(X0) | ~'v2$ulattice3'(X0) | ~'v2$ulattice3'(X0) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(X0)) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(X0)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) | ~'v17$uwaybel$u0'('k7$ugrcat$u1'(X0),X0,X0) | ~'m2$urelset$u1'('k7$ugrcat$u1'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) | ~'m2$urelset$u1'('k7$ugrcat$u1'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)), inference(resolution, [status(thm)], [c447,c164])).
% 79.32/11.29 cnf(d13, plain, 'k7$ugrcat$u1'(sK245) != 'k7$ugrcat$u1'(sK245) | 'k7$ugrcat$u1'(sK245) != 'k7$ugrcat$u1'(sK245) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | 'v3$ustruct$u0'(sK245) | ~'v3$ulattice3'(sK245) | ~'v2$uorders$u2'(sK245) | ~'l1$uorders$u2'(sK245) | ~'v3$uorders$u2'(sK245) | ~'v1$ulattice3'(sK245) | ~'v4$uorders$u2'(sK245) | ~'v2$ulattice3'(sK245) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v17$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)), inference(superposition, [status(thm)], [d12,d11])).
% 79.32/11.29 cnf(d14, plain, 'k7$ugrcat$u1'(sK245) != 'k7$ugrcat$u1'(sK245) | 'v3$ustruct$u0'(sK245) | ~'v3$ulattice3'(sK245) | ~'l1$uorders$u2'(sK245) | ~'v3$uorders$u2'(sK245) | ~'v1$ulattice3'(sK245) | ~'v4$uorders$u2'(sK245) | ~'v2$ulattice3'(sK245) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v17$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)), inference(resolution, [status(thm)], [c450,d13])).
% 79.32/11.29 cnf(d15, plain, 'k7$ugrcat$u1'(sK245) != 'k7$ugrcat$u1'(sK245) | 'v3$ustruct$u0'(sK245) | ~'v3$ulattice3'(sK245) | ~'l1$uorders$u2'(sK245) | ~'v1$ulattice3'(sK245) | ~'v4$uorders$u2'(sK245) | ~'v2$ulattice3'(sK245) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v17$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)), inference(resolution, [status(thm)], [c451,d14])).
% 79.32/11.29 cnf(d16, plain, 'k7$ugrcat$u1'(sK245) != 'k7$ugrcat$u1'(sK245) | 'v3$ustruct$u0'(sK245) | ~'v3$ulattice3'(sK245) | ~'l1$uorders$u2'(sK245) | ~'v1$ulattice3'(sK245) | ~'v2$ulattice3'(sK245) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v17$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)), inference(resolution, [status(thm)], [c452,d15])).
% 79.32/11.29 cnf(d17, plain, 'k7$ugrcat$u1'(sK245) != 'k7$ugrcat$u1'(sK245) | 'v3$ustruct$u0'(sK245) | ~'v3$ulattice3'(sK245) | ~'l1$uorders$u2'(sK245) | ~'v2$ulattice3'(sK245) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v17$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)), inference(resolution, [status(thm)], [c453,d16])).
% 79.32/11.29 cnf(d18, plain, 'k7$ugrcat$u1'(sK245) != 'k7$ugrcat$u1'(sK245) | 'v3$ustruct$u0'(sK245) | ~'v3$ulattice3'(sK245) | ~'l1$uorders$u2'(sK245) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v17$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)), inference(resolution, [status(thm)], [c454,d17])).
% 79.32/11.29 cnf(d19, plain, 'k7$ugrcat$u1'(sK245) != 'k7$ugrcat$u1'(sK245) | 'v3$ustruct$u0'(sK245) | ~'l1$uorders$u2'(sK245) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v17$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)), inference(resolution, [status(thm)], [c455,d18])).
% 79.32/11.29 cnf(d20, plain, 'k7$ugrcat$u1'(sK245) != 'k7$ugrcat$u1'(sK245) | 'v3$ustruct$u0'(sK245) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v17$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)), inference(resolution, [status(thm)], [c456,d19])).
% 79.32/11.29 cnf(d21, plain, 'k7$ugrcat$u1'(sK245) != 'k7$ugrcat$u1'(sK245) | ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v17$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)), inference(resolution, [status(thm)], [d10,d20])).
% 79.32/11.29 cnf(d22, plain, ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v17$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'m2$urelset$u1'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)), inference(equality_resolution, [status(thm)], [d21])).
% 79.32/11.29 cnf(d23, plain, ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v17$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'l1$ustruct$u0'(sK245), inference(resolution, [status(thm)], [d22,c177])).
% 79.32/11.29 cnf(d24, plain, 'l1$ustruct$u0'(sK245), inference(resolution, [status(thm)], [c178,c456])).
% 79.32/11.29 cnf(d25, plain, ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v1$ufunct$u2'('k7$ugrcat$u1'(sK245),'u1$ustruct$u0'(sK245),'u1$ustruct$u0'(sK245)) | ~'v17$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245), inference(resolution, [status(thm)], [d24,d23])).
% 79.32/11.29 cnf(d26, plain, ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v17$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'Ts166'(sK245), inference(resolution, [status(thm)], [d25,c286])).
% 79.32/11.29 cnf(d27, plain, 'v3$ustruct$u0'(sK245) | ~'v2$uorders$u2'(sK245) | 'Ts166'(sK245), inference(resolution, [status(thm)], [c281,c456])).
% 79.32/11.29 cnf(d28, plain, 'v3$ustruct$u0'(sK245) | 'Ts166'(sK245), inference(resolution, [status(thm)], [c450,d27])).
% 79.32/11.29 cnf(d29, plain, 'Ts166'(sK245), inference(resolution, [status(thm)], [d10,d28])).
% 79.32/11.29 cnf(d30, plain, ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v17$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'v18$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245), inference(resolution, [status(thm)], [d29,d26])).
% 79.32/11.29 cnf(d31, plain, ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v17$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245) | ~'Ts164'(sK245), inference(resolution, [status(thm)], [d30,c272])).
% 79.32/11.29 cnf(d32, plain, 'v3$ustruct$u0'(sK245) | ~'v2$uorders$u2'(sK245) | 'Ts164'(sK245), inference(resolution, [status(thm)], [c262,c456])).
% 79.32/11.29 cnf(d33, plain, 'v3$ustruct$u0'(sK245) | 'Ts164'(sK245), inference(resolution, [status(thm)], [c450,d32])).
% 79.32/11.29 cnf(d34, plain, 'Ts164'(sK245), inference(resolution, [status(thm)], [d10,d33])).
% 79.32/11.29 cnf(d35, plain, ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'v17$uwaybel$u0'('k7$ugrcat$u1'(sK245),sK245,sK245), inference(resolution, [status(thm)], [d34,d31])).
% 79.32/11.29 cnf(d36, plain, ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)) | ~'Ts164'(sK245), inference(resolution, [status(thm)], [d35,c271])).
% 79.32/11.29 cnf(d37, plain, ~'v1$ufunct$u1'('k7$ugrcat$u1'(sK245)), inference(resolution, [status(thm)], [d34,d36])).
% 79.32/11.29 cnf(d38, plain, ~'Ts164'(sK245), inference(resolution, [status(thm)], [d37,c264])).
% 79.32/11.29 cnf(d39, plain, $false, inference(resolution, [status(thm)], [d34,d38])).
% 79.32/11.29 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------