%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT288+3 : 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 : 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 07:48:07 AM UTC 2026
% Result : Theorem 199.90s 28.95s
% Output : CNFRefutation 199.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT288+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n005.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Fri Sep 25 20:27:34 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 199.90/28.95 % SZS status Theorem for theBenchmark.p
% 199.90/28.95 % SZS output start CNFRefutation for theBenchmark.p
% 199.90/28.95 fof(fraenkel_a_2_0_lopclset, axiom, ! [X0] : ! [X1] : ! [X2] : (((~'v3$ustruct$u0'(X1) & ('v10$ulattices'(X1) & ('v17$ulattices'(X1) & (~'v3$urealset2'(X1) & ('l3$ulattices'(X1) & 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X1))))))) => ('r2$uhidden'(X0,'a$u2$u0$ulopclset'(X1,X2)) <=> ? [X3] : (('m1$ufilter$u0'(X3,X1) & (X0 = X3 & ('v1$ufilter$u0'(X3,X1) & 'r2$uhidden'(X2,X3))))))))).
% 199.90/28.95 fof(t18_lopclset, axiom, ! [X0] : ! [X1] : (((~'v3$ustruct$u0'(X1) & ('v10$ulattices'(X1) & ('v17$ulattices'(X1) & (~'v3$urealset2'(X1) & 'l3$ulattices'(X1))))) => ('r2$uhidden'(X0,'k7$ulopclset'(X1)) <=> ? [X2] : (('m1$ufilter$u0'(X2,X1) & (X2 = X0 & 'v1$ufilter$u0'(X2,X1)))))))).
% 199.90/28.95 fof(d3_tarski, axiom, ! [X0] : ! [X1] : (('r1$utarski'(X0,X1) <=> ! [X2] : (('r2$uhidden'(X2,X0) => 'r2$uhidden'(X2,X1)))))).
% 199.90/28.95 fof(t19_lopclset, conjecture, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('v17$ulattices'(X0) & (~'v3$urealset2'(X0) & 'l3$ulattices'(X0))))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => 'r1$utarski'('a$u2$u0$ulopclset'(X0,X1),'k7$ulopclset'(X0))))))).
% 199.90/28.95 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('v17$ulattices'(X0) & (~'v3$urealset2'(X0) & 'l3$ulattices'(X0))))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => 'r1$utarski'('a$u2$u0$ulopclset'(X0,X1),'k7$ulopclset'(X0)))))), inference(negate_conjecture, [status(cth)], [t19_lopclset])).
% 199.90/28.95 cnf(c0, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) | ~'v10$ulattices'(X1) | ~'l3$ulattices'(X1) | 'v3$urealset2'(X1) | 'v3$ustruct$u0'(X1) | X2(X3,X1,X0) | ~'v17$ulattices'(X1), inference(clausification, [status(esa)], [fraenkel_a_2_0_lopclset])).
% 199.90/28.95 cnf(c1, plain, ~X0(X1,X2,X3) | ~'r2$uhidden'(X1,'a$u2$u0$ulopclset'(X2,X3)) | 'm1$ufilter$u0'(sK4(X1,X2,X3),X2), inference(clausification, [status(esa)], [fraenkel_a_2_0_lopclset])).
% 199.90/28.95 cnf(c2, plain, ~X0(X1,X2,X3) | ~'r2$uhidden'(X1,'a$u2$u0$ulopclset'(X2,X3)) | 'v1$ufilter$u0'(sK4(X1,X2,X3),X2), inference(clausification, [status(esa)], [fraenkel_a_2_0_lopclset])).
% 199.90/28.95 cnf(c4, plain, ~X0(X1,X2,X3) | ~'r2$uhidden'(X1,'a$u2$u0$ulopclset'(X2,X3)) | sK4(X1,X2,X3) = X1, inference(clausification, [status(esa)], [fraenkel_a_2_0_lopclset])).
% 199.90/28.95 cnf(c11, plain, 'v3$urealset2'(X0) | 'r2$uhidden'(X1,'k7$ulopclset'(X0)) | ~'v17$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'v1$ufilter$u0'(X2,X0) | ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | ~'m1$ufilter$u0'(X2,X0) | X1 != X2, inference(clausification, [status(esa)], [t18_lopclset])).
% 199.90/28.95 cnf(c13, plain, 'r1$utarski'(X0,X1) | 'r2$uhidden'(sK15(X0,X1),X0), inference(clausification, [status(esa)], [d3_tarski])).
% 199.90/28.95 cnf(c14, plain, 'r1$utarski'(X0,X1) | ~'r2$uhidden'(sK15(X0,X1),X1), inference(clausification, [status(esa)], [d3_tarski])).
% 199.90/28.95 cnf(c82, plain, 'v10$ulattices'(sK103), inference(clausification, [status(esa)], [negated_conjecture])).
% 199.90/28.95 cnf(c83, plain, ~'v3$urealset2'(sK103), inference(clausification, [status(esa)], [negated_conjecture])).
% 199.90/28.95 cnf(c84, plain, 'l3$ulattices'(sK103), inference(clausification, [status(esa)], [negated_conjecture])).
% 199.90/28.95 cnf(c85, plain, 'v17$ulattices'(sK103), inference(clausification, [status(esa)], [negated_conjecture])).
% 199.90/28.95 cnf(c86, plain, ~'v3$ustruct$u0'(sK103), inference(clausification, [status(esa)], [negated_conjecture])).
% 199.90/28.95 cnf(c87, plain, 'm1$usubset$u1'(sK104,'u1$ustruct$u0'(sK103)), inference(clausification, [status(esa)], [negated_conjecture])).
% 199.90/28.95 cnf(c88, plain, ~'r1$utarski'('a$u2$u0$ulopclset'(sK103,sK104),'k7$ulopclset'(sK103)), inference(clausification, [status(esa)], [negated_conjecture])).
% 199.90/28.95 cnf(d0, plain, ~'v17$ulattices'(sK103) | ~'v10$ulattices'(sK103) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK103)) | 'v3$ustruct$u0'(sK103) | 'v3$urealset2'(sK103) | 'Ts0'(X1,sK103,X0), inference(resolution, [status(thm)], [c84,c0])).
% 199.90/28.95 cnf(d1, plain, ~'v17$ulattices'(sK103) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK103)) | 'v3$ustruct$u0'(sK103) | 'v3$urealset2'(sK103) | 'Ts0'(X1,sK103,X0), inference(resolution, [status(thm)], [c82,d0])).
% 199.90/28.95 cnf(d2, plain, ~'v17$ulattices'(sK103) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK103)) | 'v3$ustruct$u0'(sK103) | 'Ts0'(X1,sK103,X0), inference(resolution, [status(thm)], [c83,d1])).
% 199.90/28.95 cnf(d3, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK103)) | 'v3$ustruct$u0'(sK103) | 'Ts0'(X1,sK103,X0), inference(resolution, [status(thm)], [c85,d2])).
% 199.90/28.95 cnf(d4, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK103)) | 'Ts0'(X1,sK103,X0), inference(resolution, [status(thm)], [c86,d3])).
% 199.90/28.95 cnf(d5, plain, 'Ts0'(X0,sK103,sK104), inference(resolution, [status(thm)], [d4,c87])).
% 199.90/28.95 cnf(d6, plain, ~'r2$uhidden'(X0,'a$u2$u0$ulopclset'(sK103,sK104)) | 'v1$ufilter$u0'(sK4(X0,sK103,sK104),sK103), inference(resolution, [status(thm)], [d5,c2])).
% 199.90/28.95 cnf(d7, plain, 'v1$ufilter$u0'(sK4(sK15('a$u2$u0$ulopclset'(sK103,sK104),X0),sK103,sK104),sK103) | 'r1$utarski'('a$u2$u0$ulopclset'(sK103,sK104),X0), inference(resolution, [status(thm)], [d6,c13])).
% 199.90/28.95 cnf(d8, plain, sK4(X0,sK103,sK104) = X0 | ~'r2$uhidden'(X0,'a$u2$u0$ulopclset'(sK103,sK104)), inference(resolution, [status(thm)], [d5,c4])).
% 199.90/28.95 cnf(d9, plain, sK4(sK15('a$u2$u0$ulopclset'(sK103,sK104),X0),sK103,sK104) = sK15('a$u2$u0$ulopclset'(sK103,sK104),X0) | 'r1$utarski'('a$u2$u0$ulopclset'(sK103,sK104),X0), inference(resolution, [status(thm)], [d8,c13])).
% 199.90/28.95 cnf(d10, plain, 'v1$ufilter$u0'(sK15('a$u2$u0$ulopclset'(sK103,sK104),X0),sK103) | 'r1$utarski'('a$u2$u0$ulopclset'(sK103,sK104),X0) | 'r1$utarski'('a$u2$u0$ulopclset'(sK103,sK104),X0), inference(superposition, [status(thm)], [d9,d7])).
% 199.90/28.95 cnf(d11, plain, ~'r2$uhidden'(X0,'a$u2$u0$ulopclset'(sK103,sK104)) | 'm1$ufilter$u0'(sK4(X0,sK103,sK104),sK103), inference(resolution, [status(thm)], [d5,c1])).
% 199.90/28.95 cnf(d12, plain, 'm1$ufilter$u0'(sK4(sK15('a$u2$u0$ulopclset'(sK103,sK104),X0),sK103,sK104),sK103) | 'r1$utarski'('a$u2$u0$ulopclset'(sK103,sK104),X0), inference(resolution, [status(thm)], [d11,c13])).
% 199.90/28.95 cnf(d13, plain, 'm1$ufilter$u0'(sK15('a$u2$u0$ulopclset'(sK103,sK104),X0),sK103) | 'r1$utarski'('a$u2$u0$ulopclset'(sK103,sK104),X0) | 'r1$utarski'('a$u2$u0$ulopclset'(sK103,sK104),X0), inference(superposition, [status(thm)], [d9,d12])).
% 199.90/28.95 cnf(d14, plain, ~'l3$ulattices'(X0) | ~'v17$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | 'v3$urealset2'(X0) | 'r2$uhidden'(X1,'k7$ulopclset'(X0)) | ~'m1$ufilter$u0'(X1,X0) | ~'v1$ufilter$u0'(X1,X0), inference(equality_resolution, [status(thm)], [c11])).
% 199.90/28.95 cnf(d15, plain, ~'v17$ulattices'(sK103) | ~'v10$ulattices'(sK103) | 'v3$ustruct$u0'(sK103) | 'v3$urealset2'(sK103) | 'r2$uhidden'(X0,'k7$ulopclset'(sK103)) | ~'m1$ufilter$u0'(X0,sK103) | ~'v1$ufilter$u0'(X0,sK103), inference(resolution, [status(thm)], [d14,c84])).
% 199.90/28.95 cnf(d16, plain, ~'v17$ulattices'(sK103) | 'v3$ustruct$u0'(sK103) | 'v3$urealset2'(sK103) | 'r2$uhidden'(X0,'k7$ulopclset'(sK103)) | ~'m1$ufilter$u0'(X0,sK103) | ~'v1$ufilter$u0'(X0,sK103), inference(resolution, [status(thm)], [c82,d15])).
% 199.90/28.95 cnf(d17, plain, ~'v17$ulattices'(sK103) | 'v3$ustruct$u0'(sK103) | 'r2$uhidden'(X0,'k7$ulopclset'(sK103)) | ~'m1$ufilter$u0'(X0,sK103) | ~'v1$ufilter$u0'(X0,sK103), inference(resolution, [status(thm)], [c83,d16])).
% 199.90/28.95 cnf(d18, plain, 'v3$ustruct$u0'(sK103) | 'r2$uhidden'(X0,'k7$ulopclset'(sK103)) | ~'m1$ufilter$u0'(X0,sK103) | ~'v1$ufilter$u0'(X0,sK103), inference(resolution, [status(thm)], [c85,d17])).
% 199.90/28.95 cnf(d19, plain, 'r2$uhidden'(X0,'k7$ulopclset'(sK103)) | ~'m1$ufilter$u0'(X0,sK103) | ~'v1$ufilter$u0'(X0,sK103), inference(resolution, [status(thm)], [c86,d18])).
% 199.90/28.95 cnf(d20, plain, 'r2$uhidden'(sK15('a$u2$u0$ulopclset'(sK103,sK104),X0),'k7$ulopclset'(sK103)) | ~'v1$ufilter$u0'(sK15('a$u2$u0$ulopclset'(sK103,sK104),X0),sK103) | 'r1$utarski'('a$u2$u0$ulopclset'(sK103,sK104),X0), inference(resolution, [status(thm)], [d19,d13])).
% 199.90/28.95 cnf(d21, plain, 'r2$uhidden'(sK15('a$u2$u0$ulopclset'(sK103,sK104),X0),'k7$ulopclset'(sK103)) | 'r1$utarski'('a$u2$u0$ulopclset'(sK103,sK104),X0) | 'r1$utarski'('a$u2$u0$ulopclset'(sK103,sK104),X0), inference(resolution, [status(thm)], [d20,d10])).
% 199.90/28.95 cnf(d22, plain, 'r1$utarski'('a$u2$u0$ulopclset'(sK103,sK104),'k7$ulopclset'(sK103)) | 'r1$utarski'('a$u2$u0$ulopclset'(sK103,sK104),'k7$ulopclset'(sK103)), inference(resolution, [status(thm)], [d21,c14])).
% 199.90/28.95 cnf(d23, plain, $false, inference(resolution, [status(thm)], [c88,d22])).
% 199.90/28.95 % SZS output end CNFRefutation for theBenchmark.p
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