%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT327+2 : 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 : n004.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 07:48:19 AM UTC 2026
% Result : Theorem 64.10s 11.63s
% Output : CNFRefutation 64.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT327+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 20:54:51 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 64.10/11.63 % SZS status Theorem for theBenchmark.p
% 64.10/11.63 % SZS output start CNFRefutation for theBenchmark.p
% 64.10/11.63 fof(t63_filter_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => ! [X3] : (('m1$usubset$u1'(X3,'u1$ustruct$u0'(X0)) => ('r3$ulattices'(X0,X1,X2) => ('r2$uhidden'(X3,'k22$ufilter$u2'(X0,X1,X2)) <=> ('r3$ulattices'(X0,X1,X3) & 'r3$ulattices'(X0,X3,X2))))))))))))).
% 64.10/11.63 fof(d10_lattices, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & 'l3$ulattices'(X0)) => ('v10$ulattices'(X0) <=> ('v4$ulattices'(X0) & ('v5$ulattices'(X0) & ('v8$ulattices'(X0) & ('v6$ulattices'(X0) & ('v7$ulattices'(X0) & 'v9$ulattices'(X0)))))))))).
% 64.10/11.63 fof(reflexivity_r3_lattices, axiom, ! [X0] : ! [X1] : ! [X2] : (((~'v3$ustruct$u0'(X0) & ('v6$ulattices'(X0) & ('v8$ulattices'(X0) & ('v9$ulattices'(X0) & ('l3$ulattices'(X0) & ('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) & 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0)))))))) => 'r3$ulattices'(X0,X1,X1)))).
% 64.10/11.63 fof(t64_filter_2, conjecture, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => ('r3$ulattices'(X0,X1,X2) => ('r2$uhidden'(X1,'k22$ufilter$u2'(X0,X1,X2)) & 'r2$uhidden'(X2,'k22$ufilter$u2'(X0,X1,X2))))))))))).
% 64.10/11.63 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((~'v3$ustruct$u0'(X0) & ('v10$ulattices'(X0) & 'l3$ulattices'(X0))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => ('r3$ulattices'(X0,X1,X2) => ('r2$uhidden'(X1,'k22$ufilter$u2'(X0,X1,X2)) & 'r2$uhidden'(X2,'k22$ufilter$u2'(X0,X1,X2)))))))))), inference(negate_conjecture, [status(cth)], [t64_filter_2])).
% 64.10/11.63 cnf(c88, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) | 'r2$uhidden'(X0,'k22$ufilter$u2'(X1,X2,X3)) | ~'r3$ulattices'(X1,X2,X0) | ~'v10$ulattices'(X1) | 'v3$ustruct$u0'(X1) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X1)) | ~'r3$ulattices'(X1,X2,X3) | ~'r3$ulattices'(X1,X0,X3) | ~'m1$usubset$u1'(X3,'u1$ustruct$u0'(X1)) | ~'l3$ulattices'(X1), inference(clausification, [status(esa)], [t63_filter_2])).
% 64.10/11.63 cnf(c208, plain, 'v3$ustruct$u0'(X0) | ~'l3$ulattices'(X0) | ~'v10$ulattices'(X0) | X1(X0), inference(clausification, [status(esa)], [d10_lattices])).
% 64.10/11.63 cnf(c212, plain, ~X0(X1) | 'v8$ulattices'(X1), inference(clausification, [status(esa)], [d10_lattices])).
% 64.10/11.63 cnf(c213, plain, ~X0(X1) | 'v6$ulattices'(X1), inference(clausification, [status(esa)], [d10_lattices])).
% 64.10/11.63 cnf(c215, plain, ~X0(X1) | 'v9$ulattices'(X1), inference(clausification, [status(esa)], [d10_lattices])).
% 64.10/11.63 cnf(c243, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) | ~'v9$ulattices'(X1) | 'r3$ulattices'(X1,X0,X0) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X1)) | ~'v6$ulattices'(X1) | ~'l3$ulattices'(X1) | 'v3$ustruct$u0'(X1) | ~'v8$ulattices'(X1), inference(clausification, [status(esa)], [reflexivity_r3_lattices])).
% 64.10/11.63 cnf(c345, plain, ~'v3$ustruct$u0'(sK372), inference(clausification, [status(esa)], [negated_conjecture])).
% 64.10/11.63 cnf(c346, plain, 'v10$ulattices'(sK372), inference(clausification, [status(esa)], [negated_conjecture])).
% 64.10/11.63 cnf(c347, plain, 'l3$ulattices'(sK372), inference(clausification, [status(esa)], [negated_conjecture])).
% 64.10/11.63 cnf(c348, plain, 'm1$usubset$u1'(sK373,'u1$ustruct$u0'(sK372)), inference(clausification, [status(esa)], [negated_conjecture])).
% 64.10/11.63 cnf(c349, plain, 'm1$usubset$u1'(sK374,'u1$ustruct$u0'(sK372)), inference(clausification, [status(esa)], [negated_conjecture])).
% 64.10/11.63 cnf(c350, plain, 'r3$ulattices'(sK372,sK373,sK374), inference(clausification, [status(esa)], [negated_conjecture])).
% 64.10/11.63 cnf(c351, plain, ~'r2$uhidden'(sK373,'k22$ufilter$u2'(sK372,sK373,sK374)) | ~'r2$uhidden'(sK374,'k22$ufilter$u2'(sK372,sK373,sK374)), inference(clausification, [status(esa)], [negated_conjecture])).
% 64.10/11.63 cnf(d0, plain, ~'l3$ulattices'(sK372) | 'v3$ustruct$u0'(sK372) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK372)) | 'r3$ulattices'(sK372,sK373,sK373) | ~'v6$ulattices'(sK372) | ~'v8$ulattices'(sK372) | ~'v9$ulattices'(sK372), inference(resolution, [status(thm)], [c243,c348])).
% 64.10/11.63 cnf(d1, plain, ~'l3$ulattices'(sK372) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK372)) | 'r3$ulattices'(sK372,sK373,sK373) | ~'v6$ulattices'(sK372) | ~'v8$ulattices'(sK372) | ~'v9$ulattices'(sK372), inference(resolution, [status(thm)], [c345,d0])).
% 64.10/11.63 cnf(d2, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK372)) | 'r3$ulattices'(sK372,sK373,sK373) | ~'v6$ulattices'(sK372) | ~'v8$ulattices'(sK372) | ~'v9$ulattices'(sK372), inference(resolution, [status(thm)], [c347,d1])).
% 64.10/11.63 cnf(d3, plain, ~'l3$ulattices'(sK372) | 'v3$ustruct$u0'(sK372) | 'Ts216'(sK372), inference(resolution, [status(thm)], [c208,c346])).
% 64.10/11.63 cnf(d4, plain, ~'l3$ulattices'(sK372) | 'Ts216'(sK372), inference(resolution, [status(thm)], [c345,d3])).
% 64.10/11.63 cnf(d5, plain, 'Ts216'(sK372), inference(resolution, [status(thm)], [c347,d4])).
% 64.10/11.63 cnf(d6, plain, 'v8$ulattices'(sK372), inference(resolution, [status(thm)], [d5,c212])).
% 64.10/11.63 cnf(d7, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK372)) | 'r3$ulattices'(sK372,sK373,sK373) | ~'v6$ulattices'(sK372) | ~'v9$ulattices'(sK372), inference(resolution, [status(thm)], [d6,d2])).
% 64.10/11.63 cnf(d8, plain, 'v6$ulattices'(sK372), inference(resolution, [status(thm)], [d5,c213])).
% 64.10/11.63 cnf(d9, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK372)) | 'r3$ulattices'(sK372,sK373,sK373) | ~'v9$ulattices'(sK372), inference(resolution, [status(thm)], [d8,d7])).
% 64.10/11.63 cnf(d10, plain, 'v9$ulattices'(sK372), inference(resolution, [status(thm)], [d5,c215])).
% 64.10/11.63 cnf(d11, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK372)) | 'r3$ulattices'(sK372,sK373,sK373), inference(resolution, [status(thm)], [d10,d9])).
% 64.10/11.63 cnf(d12, plain, ~'l3$ulattices'(sK372) | ~'v10$ulattices'(sK372) | 'v3$ustruct$u0'(sK372) | ~'m1$usubset$u1'(sK374,'u1$ustruct$u0'(sK372)) | ~'m1$usubset$u1'(sK374,'u1$ustruct$u0'(sK372)) | ~'m1$usubset$u1'(sK373,'u1$ustruct$u0'(sK372)) | ~'r3$ulattices'(sK372,sK374,sK374) | ~'r3$ulattices'(sK372,sK373,sK374) | ~'r3$ulattices'(sK372,sK373,sK374) | ~'r2$uhidden'(sK373,'k22$ufilter$u2'(sK372,sK373,sK374)), inference(resolution, [status(thm)], [c88,c351])).
% 64.10/11.63 cnf(d13, plain, ~'l3$ulattices'(sK372) | ~'v10$ulattices'(sK372) | ~'m1$usubset$u1'(sK373,'u1$ustruct$u0'(sK372)) | ~'m1$usubset$u1'(sK374,'u1$ustruct$u0'(sK372)) | ~'r2$uhidden'(sK373,'k22$ufilter$u2'(sK372,sK373,sK374)) | ~'r3$ulattices'(sK372,sK373,sK374) | ~'r3$ulattices'(sK372,sK374,sK374), inference(resolution, [status(thm)], [c345,d12])).
% 64.10/11.63 cnf(d14, plain, ~'l3$ulattices'(sK372) | ~'m1$usubset$u1'(sK373,'u1$ustruct$u0'(sK372)) | ~'m1$usubset$u1'(sK374,'u1$ustruct$u0'(sK372)) | ~'r2$uhidden'(sK373,'k22$ufilter$u2'(sK372,sK373,sK374)) | ~'r3$ulattices'(sK372,sK373,sK374) | ~'r3$ulattices'(sK372,sK374,sK374), inference(resolution, [status(thm)], [c346,d13])).
% 64.10/11.63 cnf(d15, plain, ~'m1$usubset$u1'(sK373,'u1$ustruct$u0'(sK372)) | ~'m1$usubset$u1'(sK374,'u1$ustruct$u0'(sK372)) | ~'r2$uhidden'(sK373,'k22$ufilter$u2'(sK372,sK373,sK374)) | ~'r3$ulattices'(sK372,sK373,sK374) | ~'r3$ulattices'(sK372,sK374,sK374), inference(resolution, [status(thm)], [c347,d14])).
% 64.10/11.63 cnf(d16, plain, ~'m1$usubset$u1'(sK374,'u1$ustruct$u0'(sK372)) | ~'r2$uhidden'(sK373,'k22$ufilter$u2'(sK372,sK373,sK374)) | ~'r3$ulattices'(sK372,sK373,sK374) | ~'r3$ulattices'(sK372,sK374,sK374), inference(resolution, [status(thm)], [c348,d15])).
% 64.10/11.63 cnf(d17, plain, ~'r2$uhidden'(sK373,'k22$ufilter$u2'(sK372,sK373,sK374)) | ~'r3$ulattices'(sK372,sK373,sK374) | ~'r3$ulattices'(sK372,sK374,sK374), inference(resolution, [status(thm)], [c349,d16])).
% 64.10/11.63 cnf(d18, plain, ~'r2$uhidden'(sK373,'k22$ufilter$u2'(sK372,sK373,sK374)) | ~'r3$ulattices'(sK372,sK374,sK374), inference(resolution, [status(thm)], [c350,d17])).
% 64.10/11.63 cnf(d19, plain, ~'r3$ulattices'(sK372,sK374,sK374) | ~'l3$ulattices'(sK372) | ~'v10$ulattices'(sK372) | 'v3$ustruct$u0'(sK372) | ~'m1$usubset$u1'(sK374,'u1$ustruct$u0'(sK372)) | ~'m1$usubset$u1'(sK373,'u1$ustruct$u0'(sK372)) | ~'m1$usubset$u1'(sK373,'u1$ustruct$u0'(sK372)) | ~'r3$ulattices'(sK372,sK373,sK374) | ~'r3$ulattices'(sK372,sK373,sK374) | ~'r3$ulattices'(sK372,sK373,sK373), inference(resolution, [status(thm)], [d18,c88])).
% 64.10/11.63 cnf(d20, plain, ~'l3$ulattices'(sK372) | ~'v10$ulattices'(sK372) | ~'m1$usubset$u1'(sK373,'u1$ustruct$u0'(sK372)) | ~'m1$usubset$u1'(sK374,'u1$ustruct$u0'(sK372)) | ~'r3$ulattices'(sK372,sK373,sK373) | ~'r3$ulattices'(sK372,sK373,sK374) | ~'r3$ulattices'(sK372,sK374,sK374), inference(resolution, [status(thm)], [c345,d19])).
% 64.10/11.63 cnf(d21, plain, ~'l3$ulattices'(sK372) | ~'m1$usubset$u1'(sK373,'u1$ustruct$u0'(sK372)) | ~'m1$usubset$u1'(sK374,'u1$ustruct$u0'(sK372)) | ~'r3$ulattices'(sK372,sK373,sK373) | ~'r3$ulattices'(sK372,sK373,sK374) | ~'r3$ulattices'(sK372,sK374,sK374), inference(resolution, [status(thm)], [c346,d20])).
% 64.10/11.63 cnf(d22, plain, ~'m1$usubset$u1'(sK373,'u1$ustruct$u0'(sK372)) | ~'m1$usubset$u1'(sK374,'u1$ustruct$u0'(sK372)) | ~'r3$ulattices'(sK372,sK373,sK373) | ~'r3$ulattices'(sK372,sK373,sK374) | ~'r3$ulattices'(sK372,sK374,sK374), inference(resolution, [status(thm)], [c347,d21])).
% 64.10/11.63 cnf(d23, plain, ~'m1$usubset$u1'(sK374,'u1$ustruct$u0'(sK372)) | ~'r3$ulattices'(sK372,sK373,sK373) | ~'r3$ulattices'(sK372,sK373,sK374) | ~'r3$ulattices'(sK372,sK374,sK374), inference(resolution, [status(thm)], [c348,d22])).
% 64.10/11.63 cnf(d24, plain, ~'r3$ulattices'(sK372,sK373,sK373) | ~'r3$ulattices'(sK372,sK373,sK374) | ~'r3$ulattices'(sK372,sK374,sK374), inference(resolution, [status(thm)], [c349,d23])).
% 64.10/11.63 cnf(d25, plain, ~'r3$ulattices'(sK372,sK373,sK373) | ~'r3$ulattices'(sK372,sK374,sK374), inference(resolution, [status(thm)], [c350,d24])).
% 64.10/11.63 cnf(d26, plain, ~'l3$ulattices'(sK372) | 'v3$ustruct$u0'(sK372) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK372)) | 'r3$ulattices'(sK372,sK374,sK374) | ~'v6$ulattices'(sK372) | ~'v8$ulattices'(sK372) | ~'v9$ulattices'(sK372), inference(resolution, [status(thm)], [c243,c349])).
% 64.10/11.63 cnf(d27, plain, ~'l3$ulattices'(sK372) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK372)) | 'r3$ulattices'(sK372,sK374,sK374) | ~'v6$ulattices'(sK372) | ~'v8$ulattices'(sK372) | ~'v9$ulattices'(sK372), inference(resolution, [status(thm)], [c345,d26])).
% 64.10/11.63 cnf(d28, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK372)) | 'r3$ulattices'(sK372,sK374,sK374) | ~'v6$ulattices'(sK372) | ~'v8$ulattices'(sK372) | ~'v9$ulattices'(sK372), inference(resolution, [status(thm)], [c347,d27])).
% 64.10/11.63 cnf(d29, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK372)) | 'r3$ulattices'(sK372,sK374,sK374) | ~'v6$ulattices'(sK372) | ~'v9$ulattices'(sK372), inference(resolution, [status(thm)], [d6,d28])).
% 64.10/11.63 cnf(d30, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK372)) | 'r3$ulattices'(sK372,sK374,sK374) | ~'v9$ulattices'(sK372), inference(resolution, [status(thm)], [d8,d29])).
% 64.10/11.63 cnf(d31, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK372)) | 'r3$ulattices'(sK372,sK374,sK374), inference(resolution, [status(thm)], [d10,d30])).
% 64.10/11.63 cnf(d32, plain, 'r3$ulattices'(sK372,sK374,sK374), inference(resolution, [status(thm)], [d31,c349])).
% 64.10/11.63 cnf(d33, plain, ~'r3$ulattices'(sK372,sK373,sK373), inference(resolution, [status(thm)], [d32,d25])).
% 64.10/11.63 cnf(d34, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK372)), inference(resolution, [status(thm)], [d33,d11])).
% 64.10/11.63 cnf(d35, plain, $false, inference(resolution, [status(thm)], [d34,c348])).
% 64.10/11.63 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------