%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT310+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 : 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 07:48:14 AM UTC 2026
% Result : Theorem 6.48s 3.11s
% Output : CNFRefutation 6.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT310+1 : 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 20:42:53 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.48/3.11 % SZS status Theorem for theBenchmark.p
% 6.48/3.11 % SZS output start CNFRefutation for theBenchmark.p
% 6.48/3.11 fof(d11_filter_2, 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)))) => ! [X2] : (('m2$ufilter$u2'(X2,X0) => (X2 = 'k19$ufilter$u2'(X0,X1) <=> ('r1$utarski'(X1,X2) & ! [X3] : (('m2$ufilter$u2'(X3,X0) => ('r1$utarski'(X1,X3) => 'r1$utarski'(X2,X3))))))))))))).
% 6.48/3.11 fof(dt_k19_filter_2, axiom, ! [X0] : ! [X1] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('l3$ulattices'(X0) & (~'v1$uxboole$u0'(X1) & 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))))))) => 'm2$ufilter$u2'('k19$ufilter$u2'(X0,X1),X0)))).
% 6.48/3.11 fof(dt_m2_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m2$ufilter$u2'(X1,X0) => (~'v1$uxboole$u0'(X1) & 'm2$ulattice4'(X1,X0))))))).
% 6.48/3.11 fof(dt_m2_lattice4, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m2$ulattice4'(X1,X0) => 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))))))).
% 6.48/3.11 fof(reflexivity_r1_tarski, axiom, ! [X0] : ! [X1] : 'r1$utarski'(X0,X0)).
% 6.48/3.11 fof(t1_xboole_1, axiom, ! [X0] : ! [X1] : ! [X2] : ((('r1$utarski'(X0,X1) & 'r1$utarski'(X1,X2)) => 'r1$utarski'(X0,X2)))).
% 6.48/3.11 fof(t39_filter_2, conjecture, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (((~'v1$uxboole$u0'(X1) & 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))) => ! [X2] : (((~'v1$uxboole$u0'(X2) & 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))) => ! [X3] : (((~'v1$uxboole$u0'(X3) & 'm1$usubset$u1'(X3,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))) => (('r1$utarski'(X2,X3) => 'r1$utarski'('k19$ufilter$u2'(X0,X2),'k19$ufilter$u2'(X0,X3))) & 'r1$utarski'('k19$ufilter$u2'(X0,'k19$ufilter$u2'(X0,X1)),'k19$ufilter$u2'(X0,X1)))))))))))).
% 6.48/3.11 fof(negated_conjecture, negated_conjecture, ~! [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)))) => ! [X2] : (((~'v1$uxboole$u0'(X2) & 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))) => ! [X3] : (((~'v1$uxboole$u0'(X3) & 'm1$usubset$u1'(X3,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))) => (('r1$utarski'(X2,X3) => 'r1$utarski'('k19$ufilter$u2'(X0,X2),'k19$ufilter$u2'(X0,X3))) & 'r1$utarski'('k19$ufilter$u2'(X0,'k19$ufilter$u2'(X0,X1)),'k19$ufilter$u2'(X0,X1))))))))))), inference(negate_conjecture, [status(cth)], [t39_filter_2])).
% 6.48/3.11 cnf(c12, plain, ~'m2$ufilter$u2'(X0,X1) | ~'l3$ulattices'(X1) | X2(X1,X3,X0) | ~'m1$usubset$u1'(X3,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1))) | X0 != 'k19$ufilter$u2'(X1,X3) | 'v3$ustruct$u0'(X1) | ~'v10$ulattices'(X1) | 'v1$uxboole$u0'(X3), inference(clausification, [status(esa)], [d11_filter_2])).
% 6.48/3.11 cnf(c13, plain, ~'m2$ufilter$u2'(X0,X1) | ~'m1$usubset$u1'(X2,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1))) | ~X3(X1,X2,X0) | 'v3$ustruct$u0'(X1) | X0 = 'k19$ufilter$u2'(X1,X2) | ~'l3$ulattices'(X1) | ~'v10$ulattices'(X1) | 'v1$uxboole$u0'(X2), inference(clausification, [status(esa)], [d11_filter_2])).
% 6.48/3.11 cnf(c14, plain, ~X0(X1,X2,X3) | 'r1$utarski'(X2,X3), inference(clausification, [status(esa)], [d11_filter_2])).
% 6.48/3.11 cnf(c15, plain, ~X0(X1,X2,X3) | ~'m2$ufilter$u2'(X4,X1) | ~'r1$utarski'(X2,X4) | 'r1$utarski'(X3,X4), inference(clausification, [status(esa)], [d11_filter_2])).
% 6.48/3.11 cnf(c17, plain, X0(X1,X2,X3) | ~'r1$utarski'(X2,X3) | 'r1$utarski'(X2,sK11(X1,X2,X3)), inference(clausification, [status(esa)], [d11_filter_2])).
% 6.48/3.11 cnf(c18, plain, X0(X1,X2,X3) | ~'r1$utarski'(X2,X3) | ~'r1$utarski'(X3,sK11(X1,X2,X3)), inference(clausification, [status(esa)], [d11_filter_2])).
% 6.48/3.11 cnf(c19, plain, 'v3$ustruct$u0'(X0) | ~'m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) | ~'v10$ulattices'(X0) | 'v1$uxboole$u0'(X1) | 'm2$ufilter$u2'('k19$ufilter$u2'(X0,X1),X0) | ~'l3$ulattices'(X0), inference(clausification, [status(esa)], [dt_k19_filter_2])).
% 6.48/3.11 cnf(c24, plain, ~'m2$ufilter$u2'(X0,X1) | ~'v1$uxboole$u0'(X0) | 'v3$ustruct$u0'(X1) | ~'l3$ulattices'(X1) | ~'v10$ulattices'(X1), inference(clausification, [status(esa)], [dt_m2_filter_2])).
% 6.48/3.11 cnf(c25, plain, ~'m2$ufilter$u2'(X0,X1) | 'm2$ulattice4'(X0,X1) | 'v3$ustruct$u0'(X1) | ~'l3$ulattices'(X1) | ~'v10$ulattices'(X1), inference(clausification, [status(esa)], [dt_m2_filter_2])).
% 6.48/3.11 cnf(c26, plain, 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1))) | 'v3$ustruct$u0'(X1) | ~'l3$ulattices'(X1) | ~'m2$ulattice4'(X0,X1) | ~'v10$ulattices'(X1), inference(clausification, [status(esa)], [dt_m2_lattice4])).
% 6.48/3.11 cnf(c49, plain, 'r1$utarski'(X0,X0), inference(clausification, [status(esa)], [reflexivity_r1_tarski])).
% 6.48/3.11 cnf(c51, plain, ~'r1$utarski'(X0,X1) | ~'r1$utarski'(X1,X2) | 'r1$utarski'(X0,X2), inference(clausification, [status(esa)], [t1_xboole_1])).
% 6.48/3.11 cnf(c60, plain, ~'v3$ustruct$u0'(sK66), inference(clausification, [status(esa)], [negated_conjecture])).
% 6.48/3.11 cnf(c61, plain, 'v10$ulattices'(sK66), inference(clausification, [status(esa)], [negated_conjecture])).
% 6.48/3.11 cnf(c62, plain, 'l3$ulattices'(sK66), inference(clausification, [status(esa)], [negated_conjecture])).
% 6.48/3.11 cnf(c63, plain, ~'v1$uxboole$u0'(sK67), inference(clausification, [status(esa)], [negated_conjecture])).
% 6.48/3.11 cnf(c64, plain, 'm1$usubset$u1'(sK67,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK66))), inference(clausification, [status(esa)], [negated_conjecture])).
% 6.48/3.11 cnf(c65, plain, ~'v1$uxboole$u0'(sK68), inference(clausification, [status(esa)], [negated_conjecture])).
% 6.48/3.11 cnf(c66, plain, 'm1$usubset$u1'(sK68,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK66))), inference(clausification, [status(esa)], [negated_conjecture])).
% 6.48/3.11 cnf(c67, plain, ~'v1$uxboole$u0'(sK69), inference(clausification, [status(esa)], [negated_conjecture])).
% 6.48/3.11 cnf(c68, plain, 'm1$usubset$u1'(sK69,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK66))), inference(clausification, [status(esa)], [negated_conjecture])).
% 6.48/3.11 cnf(c69, plain, 'r1$utarski'(sK68,sK69) | ~'r1$utarski'('k19$ufilter$u2'(sK66,'k19$ufilter$u2'(sK66,sK67)),'k19$ufilter$u2'(sK66,sK67)), inference(clausification, [status(esa)], [negated_conjecture])).
% 6.48/3.11 cnf(c70, plain, ~'r1$utarski'('k19$ufilter$u2'(sK66,sK68),'k19$ufilter$u2'(sK66,sK69)) | ~'r1$utarski'('k19$ufilter$u2'(sK66,'k19$ufilter$u2'(sK66,sK67)),'k19$ufilter$u2'(sK66,sK67)), inference(clausification, [status(esa)], [negated_conjecture])).
% 6.48/3.11 cnf(d0, plain, 'v1$uxboole$u0'(sK69) | ~'v10$ulattices'(sK66) | ~'l3$ulattices'(sK66) | 'v3$ustruct$u0'(sK66) | 'm2$ufilter$u2'('k19$ufilter$u2'(sK66,sK69),sK66), inference(resolution, [status(thm)], [c19,c68])).
% 6.48/3.11 cnf(d1, plain, 'v1$uxboole$u0'(sK69) | ~'v10$ulattices'(sK66) | ~'l3$ulattices'(sK66) | 'm2$ufilter$u2'('k19$ufilter$u2'(sK66,sK69),sK66), inference(resolution, [status(thm)], [c60,d0])).
% 6.48/3.11 cnf(d2, plain, 'v1$uxboole$u0'(sK69) | ~'l3$ulattices'(sK66) | 'm2$ufilter$u2'('k19$ufilter$u2'(sK66,sK69),sK66), inference(resolution, [status(thm)], [c61,d1])).
% 6.48/3.11 cnf(d3, plain, 'v1$uxboole$u0'(sK69) | 'm2$ufilter$u2'('k19$ufilter$u2'(sK66,sK69),sK66), inference(resolution, [status(thm)], [c62,d2])).
% 6.48/3.11 cnf(d4, plain, 'm2$ufilter$u2'('k19$ufilter$u2'(sK66,sK69),sK66), inference(resolution, [status(thm)], [c67,d3])).
% 6.48/3.11 cnf(d5, plain, 'v1$uxboole$u0'(X0) | ~'v10$ulattices'(X1) | ~'l3$ulattices'(X1) | 'v3$ustruct$u0'(X1) | ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1))) | ~'m2$ufilter$u2'('k19$ufilter$u2'(X1,X0),X1) | 'Ts6'(X1,X0,'k19$ufilter$u2'(X1,X0)), inference(equality_resolution, [status(thm)], [c12])).
% 6.48/3.11 cnf(d6, plain, 'v1$uxboole$u0'(X0) | ~'v10$ulattices'(X1) | ~'l3$ulattices'(X1) | 'v3$ustruct$u0'(X1) | ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1))) | ~'m2$ufilter$u2'('k19$ufilter$u2'(X1,X0),X1) | 'r1$utarski'(X0,'k19$ufilter$u2'(X1,X0)), inference(resolution, [status(thm)], [d5,c14])).
% 6.48/3.11 cnf(d7, plain, 'v1$uxboole$u0'(sK69) | ~'v10$ulattices'(sK66) | ~'l3$ulattices'(sK66) | 'v3$ustruct$u0'(sK66) | ~'m1$usubset$u1'(sK69,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK66))) | 'r1$utarski'(sK69,'k19$ufilter$u2'(sK66,sK69)), inference(resolution, [status(thm)], [d6,d4])).
% 6.48/3.11 cnf(d8, plain, 'v1$uxboole$u0'(sK69) | ~'v10$ulattices'(sK66) | ~'l3$ulattices'(sK66) | ~'m1$usubset$u1'(sK69,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK66))) | 'r1$utarski'(sK69,'k19$ufilter$u2'(sK66,sK69)), inference(resolution, [status(thm)], [c60,d7])).
% 6.48/3.11 cnf(d9, plain, 'v1$uxboole$u0'(sK69) | ~'l3$ulattices'(sK66) | ~'m1$usubset$u1'(sK69,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK66))) | 'r1$utarski'(sK69,'k19$ufilter$u2'(sK66,sK69)), inference(resolution, [status(thm)], [c61,d8])).
% 6.48/3.11 cnf(d10, plain, 'v1$uxboole$u0'(sK69) | ~'m1$usubset$u1'(sK69,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK66))) | 'r1$utarski'(sK69,'k19$ufilter$u2'(sK66,sK69)), inference(resolution, [status(thm)], [c62,d9])).
% 6.48/3.11 cnf(d11, plain, ~'m1$usubset$u1'(sK69,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK66))) | 'r1$utarski'(sK69,'k19$ufilter$u2'(sK66,sK69)), inference(resolution, [status(thm)], [c67,d10])).
% 6.48/3.11 cnf(d12, plain, 'r1$utarski'(sK69,'k19$ufilter$u2'(sK66,sK69)), inference(resolution, [status(thm)], [c68,d11])).
% 6.48/3.11 cnf(d13, plain, 'r1$utarski'(X0,'k19$ufilter$u2'(sK66,sK69)) | ~'r1$utarski'(X0,sK69), inference(resolution, [status(thm)], [d12,c51])).
% 6.48/3.11 cnf(d14, plain, 'v1$uxboole$u0'(sK68) | ~'v10$ulattices'(sK66) | ~'l3$ulattices'(sK66) | 'v3$ustruct$u0'(sK66) | 'm2$ufilter$u2'('k19$ufilter$u2'(sK66,sK68),sK66), inference(resolution, [status(thm)], [c19,c66])).
% 6.48/3.11 cnf(d15, plain, 'v1$uxboole$u0'(sK68) | ~'v10$ulattices'(sK66) | ~'l3$ulattices'(sK66) | 'm2$ufilter$u2'('k19$ufilter$u2'(sK66,sK68),sK66), inference(resolution, [status(thm)], [c60,d14])).
% 6.48/3.11 cnf(d16, plain, 'v1$uxboole$u0'(sK68) | ~'l3$ulattices'(sK66) | 'm2$ufilter$u2'('k19$ufilter$u2'(sK66,sK68),sK66), inference(resolution, [status(thm)], [c61,d15])).
% 6.48/3.11 cnf(d17, plain, 'v1$uxboole$u0'(sK68) | 'm2$ufilter$u2'('k19$ufilter$u2'(sK66,sK68),sK66), inference(resolution, [status(thm)], [c62,d16])).
% 6.48/3.11 cnf(d18, plain, 'm2$ufilter$u2'('k19$ufilter$u2'(sK66,sK68),sK66), inference(resolution, [status(thm)], [c65,d17])).
% 6.48/3.11 cnf(d19, plain, 'v1$uxboole$u0'(X0) | ~'v10$ulattices'(X1) | ~'l3$ulattices'(X1) | 'v3$ustruct$u0'(X1) | ~'m1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1))) | ~'m2$ufilter$u2'('k19$ufilter$u2'(X1,X0),X1) | ~'m2$ufilter$u2'(X2,X1) | 'r1$utarski'('k19$ufilter$u2'(X1,X0),X2) | ~'r1$utarski'(X0,X2), inference(resolution, [status(thm)], [d5,c15])).
% 6.48/3.11 cnf(d20, plain, 'v1$uxboole$u0'(sK68) | ~'v10$ulattices'(sK66) | ~'l3$ulattices'(sK66) | 'v3$ustruct$u0'(sK66) | ~'m1$usubset$u1'(sK68,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK66))) | ~'m2$ufilter$u2'(X0,sK66) | ~'r1$utarski'(sK68,X0) | 'r1$utarski'('k19$ufilter$u2'(sK66,sK68),X0), inference(resolution, [status(thm)], [d19,d18])).
% 6.48/3.11 cnf(d21, plain, 'v1$uxboole$u0'(sK68) | ~'v10$ulattices'(sK66) | ~'l3$ulattices'(sK66) | ~'m1$usubset$u1'(sK68,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK66))) | ~'m2$ufilter$u2'(X0,sK66) | 'r1$utarski'('k19$ufilter$u2'(sK66,sK68),X0) | ~'r1$utarski'(sK68,X0), inference(resolution, [status(thm)], [c60,d20])).
% 6.48/3.11 cnf(d22, plain, 'v1$uxboole$u0'(sK68) | ~'l3$ulattices'(sK66) | ~'m1$usubset$u1'(sK68,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK66))) | ~'m2$ufilter$u2'(X0,sK66) | 'r1$utarski'('k19$ufilter$u2'(sK66,sK68),X0) | ~'r1$utarski'(sK68,X0), inference(resolution, [status(thm)], [c61,d21])).
% 6.48/3.11 cnf(d23, plain, 'v1$uxboole$u0'(sK68) | ~'m1$usubset$u1'(sK68,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK66))) | ~'m2$ufilter$u2'(X0,sK66) | 'r1$utarski'('k19$ufilter$u2'(sK66,sK68),X0) | ~'r1$utarski'(sK68,X0), inference(resolution, [status(thm)], [c62,d22])).
% 6.48/3.11 cnf(d24, plain, ~'m1$usubset$u1'(sK68,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK66))) | ~'m2$ufilter$u2'(X0,sK66) | 'r1$utarski'('k19$ufilter$u2'(sK66,sK68),X0) | ~'r1$utarski'(sK68,X0), inference(resolution, [status(thm)], [c65,d23])).
% 6.48/3.11 cnf(d25, plain, ~'m2$ufilter$u2'(X0,sK66) | 'r1$utarski'('k19$ufilter$u2'(sK66,sK68),X0) | ~'r1$utarski'(sK68,X0), inference(resolution, [status(thm)], [c66,d24])).
% 6.48/3.11 cnf(d26, plain, 'v1$uxboole$u0'(sK67) | ~'v10$ulattices'(sK66) | ~'l3$ulattices'(sK66) | 'v3$ustruct$u0'(sK66) | 'm2$ufilter$u2'('k19$ufilter$u2'(sK66,sK67),sK66), inference(resolution, [status(thm)], [c19,c64])).
% 6.48/3.11 cnf(d27, plain, 'v1$uxboole$u0'(sK67) | ~'v10$ulattices'(sK66) | ~'l3$ulattices'(sK66) | 'm2$ufilter$u2'('k19$ufilter$u2'(sK66,sK67),sK66), inference(resolution, [status(thm)], [c60,d26])).
% 6.48/3.11 cnf(d28, plain, 'v1$uxboole$u0'(sK67) | ~'l3$ulattices'(sK66) | 'm2$ufilter$u2'('k19$ufilter$u2'(sK66,sK67),sK66), inference(resolution, [status(thm)], [c61,d27])).
% 6.48/3.11 cnf(d29, plain, 'v1$uxboole$u0'(sK67) | 'm2$ufilter$u2'('k19$ufilter$u2'(sK66,sK67),sK66), inference(resolution, [status(thm)], [c62,d28])).
% 6.48/3.11 cnf(d30, plain, 'm2$ufilter$u2'('k19$ufilter$u2'(sK66,sK67),sK66), inference(resolution, [status(thm)], [c63,d29])).
% 6.48/3.11 cnf(d31, plain, ~'v10$ulattices'(sK66) | ~'l3$ulattices'(sK66) | 'v3$ustruct$u0'(sK66) | 'm2$ulattice4'('k19$ufilter$u2'(sK66,sK67),sK66), inference(resolution, [status(thm)], [c25,d30])).
% 6.48/3.11 cnf(d32, plain, ~'v10$ulattices'(sK66) | ~'l3$ulattices'(sK66) | 'm2$ulattice4'('k19$ufilter$u2'(sK66,sK67),sK66), inference(resolution, [status(thm)], [c60,d31])).
% 6.48/3.11 cnf(d33, plain, ~'l3$ulattices'(sK66) | 'm2$ulattice4'('k19$ufilter$u2'(sK66,sK67),sK66), inference(resolution, [status(thm)], [c61,d32])).
% 6.48/3.11 cnf(d34, plain, 'm2$ulattice4'('k19$ufilter$u2'(sK66,sK67),sK66), inference(resolution, [status(thm)], [c62,d33])).
% 6.48/3.11 cnf(d35, plain, 'Ts6'(X0,X1,X1) | ~'r1$utarski'(X1,X1) | 'Ts6'(X0,X1,X1) | ~'r1$utarski'(X1,X1), inference(resolution, [status(thm)], [c18,c17])).
% 6.48/3.11 cnf(d36, plain, 'Ts6'(X0,X1,X1), inference(resolution, [status(thm)], [c49,d35])).
% 6.48/3.11 cnf(d37, plain, ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m2$ulattice4'(X1,X0) | X2 = 'k19$ufilter$u2'(X0,X1) | 'v1$uxboole$u0'(X1) | ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'m2$ufilter$u2'(X2,X0) | ~'Ts6'(X0,X1,X2), inference(resolution, [status(thm)], [c26,c13])).
% 6.48/3.11 cnf(d38, plain, X0 = 'k19$ufilter$u2'(X1,X0) | 'v1$uxboole$u0'(X0) | ~'v10$ulattices'(X1) | ~'l3$ulattices'(X1) | 'v3$ustruct$u0'(X1) | ~'m2$ufilter$u2'(X0,X1) | ~'m2$ulattice4'(X0,X1), inference(resolution, [status(thm)], [d37,d36])).
% 6.48/3.11 cnf(d39, plain, 'k19$ufilter$u2'(sK66,sK67) = 'k19$ufilter$u2'(sK66,'k19$ufilter$u2'(sK66,sK67)) | 'v1$uxboole$u0'('k19$ufilter$u2'(sK66,sK67)) | ~'v10$ulattices'(sK66) | ~'l3$ulattices'(sK66) | 'v3$ustruct$u0'(sK66) | ~'m2$ufilter$u2'('k19$ufilter$u2'(sK66,sK67),sK66), inference(resolution, [status(thm)], [d38,d34])).
% 6.48/3.11 cnf(d40, plain, 'k19$ufilter$u2'(sK66,sK67) = 'k19$ufilter$u2'(sK66,'k19$ufilter$u2'(sK66,sK67)) | 'v1$uxboole$u0'('k19$ufilter$u2'(sK66,sK67)) | ~'v10$ulattices'(sK66) | ~'l3$ulattices'(sK66) | ~'m2$ufilter$u2'('k19$ufilter$u2'(sK66,sK67),sK66), inference(resolution, [status(thm)], [c60,d39])).
% 6.48/3.11 cnf(d41, plain, 'k19$ufilter$u2'(sK66,sK67) = 'k19$ufilter$u2'(sK66,'k19$ufilter$u2'(sK66,sK67)) | 'v1$uxboole$u0'('k19$ufilter$u2'(sK66,sK67)) | ~'l3$ulattices'(sK66) | ~'m2$ufilter$u2'('k19$ufilter$u2'(sK66,sK67),sK66), inference(resolution, [status(thm)], [c61,d40])).
% 6.48/3.11 cnf(d42, plain, 'k19$ufilter$u2'(sK66,sK67) = 'k19$ufilter$u2'(sK66,'k19$ufilter$u2'(sK66,sK67)) | 'v1$uxboole$u0'('k19$ufilter$u2'(sK66,sK67)) | ~'m2$ufilter$u2'('k19$ufilter$u2'(sK66,sK67),sK66), inference(resolution, [status(thm)], [c62,d41])).
% 6.48/3.11 cnf(d43, plain, 'k19$ufilter$u2'(sK66,sK67) = 'k19$ufilter$u2'(sK66,'k19$ufilter$u2'(sK66,sK67)) | 'v1$uxboole$u0'('k19$ufilter$u2'(sK66,sK67)), inference(resolution, [status(thm)], [d30,d42])).
% 6.48/3.11 cnf(d44, plain, ~'v1$uxboole$u0'('k19$ufilter$u2'(sK66,sK67)) | ~'v10$ulattices'(sK66) | ~'l3$ulattices'(sK66) | 'v3$ustruct$u0'(sK66), inference(resolution, [status(thm)], [c24,d30])).
% 6.48/3.11 cnf(d45, plain, ~'v1$uxboole$u0'('k19$ufilter$u2'(sK66,sK67)) | ~'v10$ulattices'(sK66) | ~'l3$ulattices'(sK66), inference(resolution, [status(thm)], [c60,d44])).
% 6.48/3.11 cnf(d46, plain, ~'v1$uxboole$u0'('k19$ufilter$u2'(sK66,sK67)) | ~'l3$ulattices'(sK66), inference(resolution, [status(thm)], [c61,d45])).
% 6.48/3.11 cnf(d47, plain, ~'v1$uxboole$u0'('k19$ufilter$u2'(sK66,sK67)), inference(resolution, [status(thm)], [c62,d46])).
% 6.48/3.11 cnf(d48, plain, 'k19$ufilter$u2'(sK66,sK67) = 'k19$ufilter$u2'(sK66,'k19$ufilter$u2'(sK66,sK67)), inference(resolution, [status(thm)], [d47,d43])).
% 6.48/3.11 cnf(d49, plain, ~'r1$utarski'('k19$ufilter$u2'(sK66,sK67),'k19$ufilter$u2'(sK66,sK67)) | ~'r1$utarski'('k19$ufilter$u2'(sK66,sK68),'k19$ufilter$u2'(sK66,sK69)), inference(demodulation, [status(thm)], [c70,d48])).
% 6.48/3.11 cnf(d50, plain, ~'r1$utarski'('k19$ufilter$u2'(sK66,sK68),'k19$ufilter$u2'(sK66,sK69)), inference(resolution, [status(thm)], [c49,d49])).
% 6.48/3.11 cnf(d51, plain, ~'m2$ufilter$u2'('k19$ufilter$u2'(sK66,sK69),sK66) | ~'r1$utarski'(sK68,'k19$ufilter$u2'(sK66,sK69)), inference(resolution, [status(thm)], [d50,d25])).
% 6.48/3.11 cnf(d52, plain, ~'r1$utarski'(sK68,'k19$ufilter$u2'(sK66,sK69)), inference(resolution, [status(thm)], [d4,d51])).
% 6.48/3.11 cnf(d53, plain, ~'r1$utarski'(sK68,sK69), inference(resolution, [status(thm)], [d52,d13])).
% 6.48/3.11 cnf(d54, plain, ~'r1$utarski'('k19$ufilter$u2'(sK66,sK67),'k19$ufilter$u2'(sK66,sK67)) | 'r1$utarski'(sK68,sK69), inference(demodulation, [status(thm)], [c69,d48])).
% 6.48/3.11 cnf(d55, plain, 'r1$utarski'(sK68,sK69), inference(resolution, [status(thm)], [c49,d54])).
% 6.48/3.11 cnf(d56, plain, $false, inference(resolution, [status(thm)], [d55,d53])).
% 6.48/3.11 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------