%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT327+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 : n010.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 14.91s 3.11s
% Output : CNFRefutation 14.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT327+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
% 0.11/0.36 % Computer : n010.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % 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 20:54:59 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.91/3.11 % SZS status Theorem for theBenchmark.p
% 14.91/3.11 % SZS output start CNFRefutation for theBenchmark.p
% 14.91/3.11 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$ulattices'(X0,X1,X1)))).
% 14.91/3.11 fof(existence_m1_subset_1, axiom, ! [X0] : ? [X1] : 'm1$usubset$u1'(X1,X0)).
% 14.91/3.11 fof(cc1_lattices, axiom, ! [X0] : (('l3$ulattices'(X0) => ((~'v3$ustruct$u0'(X0) & 'v10$ulattices'(X0)) => (~'v3$ustruct$u0'(X0) & ('v4$ulattices'(X0) & ('v5$ulattices'(X0) & ('v6$ulattices'(X0) & ('v7$ulattices'(X0) & ('v8$ulattices'(X0) & 'v9$ulattices'(X0))))))))))).
% 14.91/3.11 fof(t63_filter_2, axiom, ! [X0] : (((~'v3$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$ulattices'(X0,X3,X2))))))))))))).
% 14.91/3.11 fof(t64_filter_2, conjecture, ! [X0] : (((~'v3$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))))))))))).
% 14.91/3.11 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$u2'(X0,X1,X2)))))))))), inference(negate_conjecture, [status(cth)], [t64_filter_2])).
% 14.91/3.11 cnf(c34, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'(X1)) | ~'v6$ulattices'(X1) | ~'v8$ulattices'(X1) | 'v3$ustruct$u0'(X1) | ~'l3$ulattices'(X1) | ~'v9$ulattices'(X1) | 'r3$ulattices'(X1,X0,X0), inference(clausification, [status(esa)], [reflexivity_r3_lattices])).
% 14.91/3.11 cnf(c36, plain, 'm1$usubset$u1'(sK46(X0),X0), inference(clausification, [status(esa)], [existence_m1_subset_1])).
% 14.91/3.11 cnf(c43, plain, ~'l3$ulattices'(X0) | 'v3$ustruct$u0'(X0) | ~'v10$ulattices'(X0) | X1(X0), inference(clausification, [status(esa)], [cc1_lattices])).
% 14.91/3.11 cnf(c47, plain, ~X0(X1) | 'v6$ulattices'(X1), inference(clausification, [status(esa)], [cc1_lattices])).
% 14.91/3.11 cnf(c49, plain, ~X0(X1) | 'v8$ulattices'(X1), inference(clausification, [status(esa)], [cc1_lattices])).
% 14.91/3.11 cnf(c50, plain, ~X0(X1) | 'v9$ulattices'(X1), inference(clausification, [status(esa)], [cc1_lattices])).
% 14.91/3.11 cnf(c55, plain, ~'m1$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$ulattices'(X1), inference(clausification, [status(esa)], [t63_filter_2])).
% 14.91/3.11 cnf(c56, plain, ~'v3$ustruct$u0'(sK64), inference(clausification, [status(esa)], [negated_conjecture])).
% 14.91/3.11 cnf(c57, plain, 'v10$ulattices'(sK64), inference(clausification, [status(esa)], [negated_conjecture])).
% 14.91/3.11 cnf(c58, plain, 'l3$ulattices'(sK64), inference(clausification, [status(esa)], [negated_conjecture])).
% 14.91/3.11 cnf(c59, plain, 'm1$usubset$u1'(sK65,'u1$ustruct$u0'(sK64)), inference(clausification, [status(esa)], [negated_conjecture])).
% 14.91/3.11 cnf(c60, plain, 'm1$usubset$u1'(sK66,'u1$ustruct$u0'(sK64)), inference(clausification, [status(esa)], [negated_conjecture])).
% 14.91/3.11 cnf(c61, plain, 'r3$ulattices'(sK64,sK65,sK66), inference(clausification, [status(esa)], [negated_conjecture])).
% 14.91/3.11 cnf(c62, plain, ~'r2$uhidden'(sK65,'k22$ufilter$u2'(sK64,sK65,sK66)) | ~'r2$uhidden'(sK66,'k22$ufilter$u2'(sK64,sK65,sK66)), inference(clausification, [status(esa)], [negated_conjecture])).
% 14.91/3.11 cnf(d0, plain, ~'m1$usubset$u1'(sK66,'u1$ustruct$u0'(sK64)) | ~'m1$usubset$u1'(sK66,'u1$ustruct$u0'(sK64)) | ~'m1$usubset$u1'(sK65,'u1$ustruct$u0'(sK64)) | 'v3$ustruct$u0'(sK64) | ~'l3$ulattices'(sK64) | ~'v10$ulattices'(sK64) | ~'r3$ulattices'(sK64,sK66,sK66) | ~'r3$ulattices'(sK64,sK65,sK66) | ~'r3$ulattices'(sK64,sK65,sK66) | ~'r2$uhidden'(sK65,'k22$ufilter$u2'(sK64,sK65,sK66)), inference(resolution, [status(thm)], [c55,c62])).
% 14.91/3.11 cnf(d1, plain, ~'m1$usubset$u1'(sK65,'u1$ustruct$u0'(sK64)) | ~'m1$usubset$u1'(sK66,'u1$ustruct$u0'(sK64)) | ~'r2$uhidden'(sK65,'k22$ufilter$u2'(sK64,sK65,sK66)) | ~'l3$ulattices'(sK64) | ~'v10$ulattices'(sK64) | ~'r3$ulattices'(sK64,sK65,sK66) | ~'r3$ulattices'(sK64,sK66,sK66), inference(resolution, [status(thm)], [c56,d0])).
% 14.91/3.11 cnf(d2, plain, ~'m1$usubset$u1'(sK65,'u1$ustruct$u0'(sK64)) | ~'m1$usubset$u1'(sK66,'u1$ustruct$u0'(sK64)) | ~'r2$uhidden'(sK65,'k22$ufilter$u2'(sK64,sK65,sK66)) | ~'l3$ulattices'(sK64) | ~'r3$ulattices'(sK64,sK65,sK66) | ~'r3$ulattices'(sK64,sK66,sK66), inference(resolution, [status(thm)], [c57,d1])).
% 14.91/3.11 cnf(d3, plain, ~'m1$usubset$u1'(sK65,'u1$ustruct$u0'(sK64)) | ~'m1$usubset$u1'(sK66,'u1$ustruct$u0'(sK64)) | ~'r2$uhidden'(sK65,'k22$ufilter$u2'(sK64,sK65,sK66)) | ~'r3$ulattices'(sK64,sK65,sK66) | ~'r3$ulattices'(sK64,sK66,sK66), inference(resolution, [status(thm)], [c58,d2])).
% 14.91/3.11 cnf(d4, plain, ~'m1$usubset$u1'(sK66,'u1$ustruct$u0'(sK64)) | ~'r2$uhidden'(sK65,'k22$ufilter$u2'(sK64,sK65,sK66)) | ~'r3$ulattices'(sK64,sK65,sK66) | ~'r3$ulattices'(sK64,sK66,sK66), inference(resolution, [status(thm)], [c59,d3])).
% 14.91/3.11 cnf(d5, plain, ~'r2$uhidden'(sK65,'k22$ufilter$u2'(sK64,sK65,sK66)) | ~'r3$ulattices'(sK64,sK65,sK66) | ~'r3$ulattices'(sK64,sK66,sK66), inference(resolution, [status(thm)], [c60,d4])).
% 14.91/3.11 cnf(d6, plain, ~'r2$uhidden'(sK65,'k22$ufilter$u2'(sK64,sK65,sK66)) | ~'r3$ulattices'(sK64,sK66,sK66), inference(resolution, [status(thm)], [c61,d5])).
% 14.91/3.11 cnf(d7, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK64)) | 'v3$ustruct$u0'(sK64) | ~'l3$ulattices'(sK64) | ~'v6$ulattices'(sK64) | ~'v8$ulattices'(sK64) | ~'v9$ulattices'(sK64) | 'r3$ulattices'(sK64,sK66,sK66), inference(resolution, [status(thm)], [c34,c60])).
% 14.91/3.11 cnf(d8, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK64)) | ~'l3$ulattices'(sK64) | ~'v6$ulattices'(sK64) | ~'v8$ulattices'(sK64) | ~'v9$ulattices'(sK64) | 'r3$ulattices'(sK64,sK66,sK66), inference(resolution, [status(thm)], [c56,d7])).
% 14.91/3.11 cnf(d9, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK64)) | ~'v6$ulattices'(sK64) | ~'v8$ulattices'(sK64) | ~'v9$ulattices'(sK64) | 'r3$ulattices'(sK64,sK66,sK66), inference(resolution, [status(thm)], [c58,d8])).
% 14.91/3.11 cnf(d10, plain, ~'v6$ulattices'(sK64) | ~'v8$ulattices'(sK64) | ~'v9$ulattices'(sK64) | 'r3$ulattices'(sK64,sK66,sK66), inference(resolution, [status(thm)], [d9,c36])).
% 14.91/3.11 cnf(d11, plain, 'v3$ustruct$u0'(sK64) | ~'l3$ulattices'(sK64) | 'Ts54'(sK64), inference(resolution, [status(thm)], [c43,c57])).
% 14.91/3.11 cnf(d12, plain, ~'l3$ulattices'(sK64) | 'Ts54'(sK64), inference(resolution, [status(thm)], [c56,d11])).
% 14.91/3.11 cnf(d13, plain, 'Ts54'(sK64), inference(resolution, [status(thm)], [c58,d12])).
% 14.91/3.11 cnf(d14, plain, 'v6$ulattices'(sK64), inference(resolution, [status(thm)], [c47,d13])).
% 14.91/3.11 cnf(d15, plain, ~'v8$ulattices'(sK64) | ~'v9$ulattices'(sK64) | 'r3$ulattices'(sK64,sK66,sK66), inference(resolution, [status(thm)], [d14,d10])).
% 14.91/3.11 cnf(d16, plain, 'v8$ulattices'(sK64), inference(resolution, [status(thm)], [c49,d13])).
% 14.91/3.11 cnf(d17, plain, ~'v9$ulattices'(sK64) | 'r3$ulattices'(sK64,sK66,sK66), inference(resolution, [status(thm)], [d16,d15])).
% 14.91/3.11 cnf(d18, plain, 'v9$ulattices'(sK64), inference(resolution, [status(thm)], [c50,d13])).
% 14.91/3.11 cnf(d19, plain, 'r3$ulattices'(sK64,sK66,sK66), inference(resolution, [status(thm)], [d18,d17])).
% 14.91/3.11 cnf(d20, plain, ~'r2$uhidden'(sK65,'k22$ufilter$u2'(sK64,sK65,sK66)), inference(resolution, [status(thm)], [d19,d6])).
% 14.91/3.11 cnf(d21, plain, ~'m1$usubset$u1'(sK66,'u1$ustruct$u0'(sK64)) | ~'m1$usubset$u1'(sK65,'u1$ustruct$u0'(sK64)) | ~'m1$usubset$u1'(sK65,'u1$ustruct$u0'(sK64)) | 'v3$ustruct$u0'(sK64) | ~'l3$ulattices'(sK64) | ~'v10$ulattices'(sK64) | ~'r3$ulattices'(sK64,sK65,sK66) | ~'r3$ulattices'(sK64,sK65,sK66) | ~'r3$ulattices'(sK64,sK65,sK65), inference(resolution, [status(thm)], [d20,c55])).
% 14.91/3.11 cnf(d22, plain, ~'m1$usubset$u1'(sK65,'u1$ustruct$u0'(sK64)) | ~'m1$usubset$u1'(sK66,'u1$ustruct$u0'(sK64)) | ~'l3$ulattices'(sK64) | ~'v10$ulattices'(sK64) | ~'r3$ulattices'(sK64,sK65,sK65) | ~'r3$ulattices'(sK64,sK65,sK66), inference(resolution, [status(thm)], [c56,d21])).
% 14.91/3.11 cnf(d23, plain, ~'m1$usubset$u1'(sK65,'u1$ustruct$u0'(sK64)) | ~'m1$usubset$u1'(sK66,'u1$ustruct$u0'(sK64)) | ~'l3$ulattices'(sK64) | ~'r3$ulattices'(sK64,sK65,sK65) | ~'r3$ulattices'(sK64,sK65,sK66), inference(resolution, [status(thm)], [c57,d22])).
% 14.91/3.11 cnf(d24, plain, ~'m1$usubset$u1'(sK65,'u1$ustruct$u0'(sK64)) | ~'m1$usubset$u1'(sK66,'u1$ustruct$u0'(sK64)) | ~'r3$ulattices'(sK64,sK65,sK65) | ~'r3$ulattices'(sK64,sK65,sK66), inference(resolution, [status(thm)], [c58,d23])).
% 14.91/3.11 cnf(d25, plain, ~'m1$usubset$u1'(sK66,'u1$ustruct$u0'(sK64)) | ~'r3$ulattices'(sK64,sK65,sK65) | ~'r3$ulattices'(sK64,sK65,sK66), inference(resolution, [status(thm)], [c59,d24])).
% 14.91/3.11 cnf(d26, plain, ~'r3$ulattices'(sK64,sK65,sK65) | ~'r3$ulattices'(sK64,sK65,sK66), inference(resolution, [status(thm)], [c60,d25])).
% 14.91/3.11 cnf(d27, plain, ~'r3$ulattices'(sK64,sK65,sK65), inference(resolution, [status(thm)], [c61,d26])).
% 14.91/3.11 cnf(d28, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK64)) | 'v3$ustruct$u0'(sK64) | ~'l3$ulattices'(sK64) | ~'v6$ulattices'(sK64) | ~'v8$ulattices'(sK64) | ~'v9$ulattices'(sK64) | 'r3$ulattices'(sK64,sK65,sK65), inference(resolution, [status(thm)], [c34,c59])).
% 14.91/3.11 cnf(d29, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK64)) | ~'l3$ulattices'(sK64) | ~'v6$ulattices'(sK64) | ~'v8$ulattices'(sK64) | ~'v9$ulattices'(sK64) | 'r3$ulattices'(sK64,sK65,sK65), inference(resolution, [status(thm)], [c56,d28])).
% 14.91/3.11 cnf(d30, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK64)) | ~'v6$ulattices'(sK64) | ~'v8$ulattices'(sK64) | ~'v9$ulattices'(sK64) | 'r3$ulattices'(sK64,sK65,sK65), inference(resolution, [status(thm)], [c58,d29])).
% 14.91/3.11 cnf(d31, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK64)) | ~'v8$ulattices'(sK64) | ~'v9$ulattices'(sK64) | 'r3$ulattices'(sK64,sK65,sK65), inference(resolution, [status(thm)], [d14,d30])).
% 14.91/3.11 cnf(d32, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK64)) | ~'v9$ulattices'(sK64) | 'r3$ulattices'(sK64,sK65,sK65), inference(resolution, [status(thm)], [d16,d31])).
% 14.91/3.11 cnf(d33, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(sK64)) | 'r3$ulattices'(sK64,sK65,sK65), inference(resolution, [status(thm)], [d18,d32])).
% 14.91/3.11 cnf(d34, plain, 'r3$ulattices'(sK64,sK65,sK65), inference(resolution, [status(thm)], [d33,c36])).
% 14.91/3.11 cnf(d35, plain, $false, inference(resolution, [status(thm)], [d34,d27])).
% 14.91/3.11 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------