%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT288+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 07:48:07 AM UTC 2026
% Result : Theorem 115.75s 30.18s
% Output : CNFRefutation 115.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT288+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n013.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Fri Sep 25 20:27:36 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 115.75/30.18 % SZS status Theorem for theBenchmark.p
% 115.75/30.18 % SZS output start CNFRefutation for theBenchmark.p
% 115.75/30.18 fof(d3_tarski, axiom, ! [X0] : ! [X1] : (('r1$utarski'(X0,X1) <=> ! [X2] : (('r2$uhidden'(X2,X0) => 'r2$uhidden'(X2,X1)))))).
% 115.75/30.18 fof(d5_lopclset, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & ('v17$ulattices'(X0) & (~'v3$urealset2'(X0) & 'l3$ulattices'(X0))))) => 'k7$ulopclset'(X0) = 'a$u1$u1$ulopclset'(X0)))).
% 115.75/30.18 fof(fraenkel_a_1_1_lopclset, axiom, ! [X0] : ! [X1] : (((~'v3$ustruct$u0'(X1) & ('v10$ulattices'(X1) & ('v17$ulattices'(X1) & (~'v3$urealset2'(X1) & 'l3$ulattices'(X1))))) => ('r2$uhidden'(X0,'a$u1$u1$ulopclset'(X1)) <=> ? [X2] : (('m1$ufilter$u0'(X2,X1) & (X0 = X2 & 'v1$ufilter$u0'(X2,X1)))))))).
% 115.75/30.18 fof(fraenkel_a_2_0_lopclset, axiom, ! [X0] : ! [X1] : ! [X2] : (((~'v3$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))))))))).
% 115.75/30.18 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$ulopclset'(X0))))))).
% 115.75/30.18 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((~'v3$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])).
% 115.75/30.18 cnf(c83, plain, 'r1$utarski'(X0,X1) | 'r2$uhidden'(sK48(X0,X1),X0), inference(clausification, [status(esa)], [d3_tarski])).
% 115.75/30.18 cnf(c84, plain, 'r1$utarski'(X0,X1) | ~'r2$uhidden'(sK48(X0,X1),X1), inference(clausification, [status(esa)], [d3_tarski])).
% 115.75/30.18 cnf(c85, plain, 'v3$urealset2'(X0) | ~'v17$ulattices'(X0) | ~'v10$ulattices'(X0) | ~'l3$ulattices'(X0) | 'a$u1$u1$ulopclset'(X0) = 'k7$ulopclset'(X0) | 'v3$ustruct$u0'(X0), inference(clausification, [status(esa)], [d5_lopclset])).
% 115.75/30.18 cnf(c114, plain, ~'v17$ulattices'(X0) | X1 != X2 | ~'m1$ufilter$u0'(X1,X0) | ~'v10$ulattices'(X0) | 'v3$urealset2'(X0) | 'r2$uhidden'(X2,'a$u1$u1$ulopclset'(X0)) | ~'v1$ufilter$u0'(X1,X0) | 'v3$ustruct$u0'(X0) | ~'l3$ulattices'(X0), inference(clausification, [status(esa)], [fraenkel_a_1_1_lopclset])).
% 115.75/30.18 cnf(c115, plain, ~'l3$ulattices'(X0) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | 'v3$ustruct$u0'(X0) | 'v3$urealset2'(X0) | X2(X3,X0,X1) | ~'v17$ulattices'(X0) | ~'v10$ulattices'(X0), inference(clausification, [status(esa)], [fraenkel_a_2_0_lopclset])).
% 115.75/30.18 cnf(c116, plain, ~X0(X1,X2,X3) | ~'r2$uhidden'(X1,'a$u2$u0$ulopclset'(X2,X3)) | 'm1$ufilter$u0'(sK75(X1,X2,X3),X2), inference(clausification, [status(esa)], [fraenkel_a_2_0_lopclset])).
% 115.75/30.18 cnf(c117, plain, ~X0(X1,X2,X3) | ~'r2$uhidden'(X1,'a$u2$u0$ulopclset'(X2,X3)) | 'v1$ufilter$u0'(sK75(X1,X2,X3),X2), inference(clausification, [status(esa)], [fraenkel_a_2_0_lopclset])).
% 115.75/30.18 cnf(c119, plain, ~X0(X1,X2,X3) | ~'r2$uhidden'(X1,'a$u2$u0$ulopclset'(X2,X3)) | sK75(X1,X2,X3) = X1, inference(clausification, [status(esa)], [fraenkel_a_2_0_lopclset])).
% 115.75/30.18 cnf(c170, plain, 'v10$ulattices'(sK109), inference(clausification, [status(esa)], [negated_conjecture])).
% 115.75/30.18 cnf(c171, plain, ~'v3$urealset2'(sK109), inference(clausification, [status(esa)], [negated_conjecture])).
% 115.75/30.18 cnf(c172, plain, 'l3$ulattices'(sK109), inference(clausification, [status(esa)], [negated_conjecture])).
% 115.75/30.18 cnf(c173, plain, 'v17$ulattices'(sK109), inference(clausification, [status(esa)], [negated_conjecture])).
% 115.75/30.18 cnf(c174, plain, ~'v3$ustruct$u0'(sK109), inference(clausification, [status(esa)], [negated_conjecture])).
% 115.75/30.18 cnf(c175, plain, 'm1$usubset$u1'(sK110,'u1$ustruct$u0'(sK109)), inference(clausification, [status(esa)], [negated_conjecture])).
% 115.75/30.18 cnf(c176, plain, ~'r1$utarski'('a$u2$u0$ulopclset'(sK109,sK110),'k7$ulopclset'(sK109)), inference(clausification, [status(esa)], [negated_conjecture])).
% 115.75/30.18 cnf(d0, plain, 'r2$uhidden'(X0,'a$u1$u1$ulopclset'(X1)) | ~'l3$ulattices'(X1) | ~'v10$ulattices'(X1) | 'v3$ustruct$u0'(X1) | ~'v17$ulattices'(X1) | 'v3$urealset2'(X1) | ~'m1$ufilter$u0'(X0,X1) | ~'v1$ufilter$u0'(X0,X1), inference(equality_resolution, [status(thm)], [c114])).
% 115.75/30.18 cnf(d1, plain, ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'v17$ulattices'(X0) | 'v3$urealset2'(X0) | ~'m1$ufilter$u0'(sK48(X1,'a$u1$u1$ulopclset'(X0)),X0) | ~'v1$ufilter$u0'(sK48(X1,'a$u1$u1$ulopclset'(X0)),X0) | 'r1$utarski'(X1,'a$u1$u1$ulopclset'(X0)), inference(resolution, [status(thm)], [d0,c84])).
% 115.75/30.18 cnf(d2, plain, 'a$u1$u1$ulopclset'(sK109) = 'k7$ulopclset'(sK109) | ~'l3$ulattices'(sK109) | ~'v10$ulattices'(sK109) | 'v3$ustruct$u0'(sK109) | 'v3$urealset2'(sK109), inference(resolution, [status(thm)], [c85,c173])).
% 115.75/30.18 cnf(d3, plain, 'a$u1$u1$ulopclset'(sK109) = 'k7$ulopclset'(sK109) | ~'l3$ulattices'(sK109) | 'v3$ustruct$u0'(sK109) | 'v3$urealset2'(sK109), inference(resolution, [status(thm)], [c170,d2])).
% 115.75/30.18 cnf(d4, plain, 'a$u1$u1$ulopclset'(sK109) = 'k7$ulopclset'(sK109) | ~'l3$ulattices'(sK109) | 'v3$ustruct$u0'(sK109), inference(resolution, [status(thm)], [c171,d3])).
% 115.75/30.18 cnf(d5, plain, 'a$u1$u1$ulopclset'(sK109) = 'k7$ulopclset'(sK109) | 'v3$ustruct$u0'(sK109), inference(resolution, [status(thm)], [c172,d4])).
% 115.75/30.18 cnf(d6, plain, 'a$u1$u1$ulopclset'(sK109) = 'k7$ulopclset'(sK109), inference(resolution, [status(thm)], [c174,d5])).
% 115.75/30.18 cnf(d7, plain, ~'r1$utarski'('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)), inference(demodulation, [status(thm)], [c176,d6])).
% 115.75/30.18 cnf(d8, plain, ~'l3$ulattices'(sK109) | ~'v10$ulattices'(sK109) | 'v3$ustruct$u0'(sK109) | ~'v17$ulattices'(sK109) | 'v3$urealset2'(sK109) | 'Ts71'(X0,sK109,sK110), inference(resolution, [status(thm)], [c115,c175])).
% 115.75/30.18 cnf(d9, plain, ~'l3$ulattices'(sK109) | 'v3$ustruct$u0'(sK109) | ~'v17$ulattices'(sK109) | 'v3$urealset2'(sK109) | 'Ts71'(X0,sK109,sK110), inference(resolution, [status(thm)], [c170,d8])).
% 115.75/30.18 cnf(d10, plain, ~'l3$ulattices'(sK109) | 'v3$ustruct$u0'(sK109) | ~'v17$ulattices'(sK109) | 'Ts71'(X0,sK109,sK110), inference(resolution, [status(thm)], [c171,d9])).
% 115.75/30.18 cnf(d11, plain, 'v3$ustruct$u0'(sK109) | ~'v17$ulattices'(sK109) | 'Ts71'(X0,sK109,sK110), inference(resolution, [status(thm)], [c172,d10])).
% 115.75/30.18 cnf(d12, plain, 'v3$ustruct$u0'(sK109) | 'Ts71'(X0,sK109,sK110), inference(resolution, [status(thm)], [c173,d11])).
% 115.75/30.18 cnf(d13, plain, 'Ts71'(X0,sK109,sK110), inference(resolution, [status(thm)], [c174,d12])).
% 115.75/30.18 cnf(d14, plain, sK75(sK48('a$u2$u0$ulopclset'(X0,X1),X2),X0,X1) = sK48('a$u2$u0$ulopclset'(X0,X1),X2) | ~'Ts71'(sK48('a$u2$u0$ulopclset'(X0,X1),X2),X0,X1) | 'r1$utarski'('a$u2$u0$ulopclset'(X0,X1),X2), inference(resolution, [status(thm)], [c119,c83])).
% 115.75/30.18 cnf(d15, plain, sK75(sK48('a$u2$u0$ulopclset'(sK109,sK110),X0),sK109,sK110) = sK48('a$u2$u0$ulopclset'(sK109,sK110),X0) | 'r1$utarski'('a$u2$u0$ulopclset'(sK109,sK110),X0), inference(resolution, [status(thm)], [d14,d13])).
% 115.75/30.18 cnf(d16, plain, sK75(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),sK109,sK110) = sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)), inference(resolution, [status(thm)], [d15,d7])).
% 115.75/30.18 cnf(d17, plain, 'v1$ufilter$u0'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),sK109) | ~'r2$uhidden'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),'a$u2$u0$ulopclset'(sK109,sK110)) | ~'Ts71'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),sK109,sK110), inference(superposition, [status(thm)], [d16,c117])).
% 115.75/30.18 cnf(d18, plain, ~'r2$uhidden'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),'a$u2$u0$ulopclset'(sK109,sK110)) | 'v1$ufilter$u0'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),sK109), inference(resolution, [status(thm)], [d13,d17])).
% 115.75/30.18 cnf(d19, plain, 'v1$ufilter$u0'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),sK109) | 'r1$utarski'('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)), inference(resolution, [status(thm)], [d18,c83])).
% 115.75/30.18 cnf(d20, plain, 'v1$ufilter$u0'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),sK109), inference(resolution, [status(thm)], [d7,d19])).
% 115.75/30.18 cnf(d21, plain, ~'l3$ulattices'(sK109) | ~'v10$ulattices'(sK109) | 'v3$ustruct$u0'(sK109) | ~'v17$ulattices'(sK109) | 'r1$utarski'('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)) | 'v3$urealset2'(sK109) | ~'m1$ufilter$u0'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),sK109), inference(resolution, [status(thm)], [d20,d1])).
% 115.75/30.18 cnf(d22, plain, ~'l3$ulattices'(sK109) | 'v3$ustruct$u0'(sK109) | ~'v17$ulattices'(sK109) | 'r1$utarski'('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)) | 'v3$urealset2'(sK109) | ~'m1$ufilter$u0'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),sK109), inference(resolution, [status(thm)], [c170,d21])).
% 115.75/30.18 cnf(d23, plain, ~'l3$ulattices'(sK109) | 'v3$ustruct$u0'(sK109) | ~'v17$ulattices'(sK109) | 'r1$utarski'('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)) | ~'m1$ufilter$u0'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),sK109), inference(resolution, [status(thm)], [c171,d22])).
% 115.75/30.18 cnf(d24, plain, 'v3$ustruct$u0'(sK109) | ~'v17$ulattices'(sK109) | 'r1$utarski'('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)) | ~'m1$ufilter$u0'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),sK109), inference(resolution, [status(thm)], [c172,d23])).
% 115.75/30.18 cnf(d25, plain, 'v3$ustruct$u0'(sK109) | 'r1$utarski'('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)) | ~'m1$ufilter$u0'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),sK109), inference(resolution, [status(thm)], [c173,d24])).
% 115.75/30.18 cnf(d26, plain, 'r1$utarski'('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)) | ~'m1$ufilter$u0'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),sK109), inference(resolution, [status(thm)], [c174,d25])).
% 115.75/30.18 cnf(d27, plain, ~'m1$ufilter$u0'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),sK109), inference(resolution, [status(thm)], [d7,d26])).
% 115.75/30.18 cnf(d28, plain, 'm1$ufilter$u0'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),sK109) | ~'r2$uhidden'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),'a$u2$u0$ulopclset'(sK109,sK110)) | ~'Ts71'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),sK109,sK110), inference(superposition, [status(thm)], [d16,c116])).
% 115.75/30.18 cnf(d29, plain, ~'r2$uhidden'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),'a$u2$u0$ulopclset'(sK109,sK110)) | 'm1$ufilter$u0'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),sK109), inference(resolution, [status(thm)], [d13,d28])).
% 115.75/30.18 cnf(d30, plain, 'm1$ufilter$u0'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),sK109) | 'r1$utarski'('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)), inference(resolution, [status(thm)], [d29,c83])).
% 115.75/30.18 cnf(d31, plain, 'm1$ufilter$u0'(sK48('a$u2$u0$ulopclset'(sK109,sK110),'a$u1$u1$ulopclset'(sK109)),sK109), inference(resolution, [status(thm)], [d7,d30])).
% 115.75/30.18 cnf(d32, plain, $false, inference(resolution, [status(thm)], [d31,d27])).
% 115.75/30.18 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------