%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU408+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 : n002.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 08:41:54 AM UTC 2026
% Result : Theorem 17.83s 4.70s
% Output : CNFRefutation 17.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU408+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n002.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 09:31:06 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.83/4.70 % SZS status Theorem for theBenchmark.p
% 17.83/4.70 % SZS output start CNFRefutation for theBenchmark.p
% 17.83/4.70 fof(commutativity_k2_xboole_0, axiom, ! [X0] : ! [X1] : 'k2$uxboole$u0'(X0,X1) = 'k2$uxboole$u0'(X1,X0)).
% 17.83/4.70 fof(d2_latsum_1, axiom, ! [X0] : (('l1$uorders$u2'(X0) => ! [X1] : (('l1$uorders$u2'(X1) => ! [X2] : ((('v1$uorders$u2'(X2) & 'l1$uorders$u2'(X2)) => (X2 = 'k1$ulatsum$u1'(X0,X1) <=> ('u1$ustruct$u0'(X2) = 'k2$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)) & 'u1$uorders$u2'(X2) = 'k2$uxboole$u0'('k2$uxboole$u0'('u1$uorders$u2'(X0),'u1$uorders$u2'(X1)),'k7$urelset$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X1),'u1$uorders$u2'(X0),'u1$uorders$u2'(X1)))))))))))).
% 17.83/4.70 fof(d2_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'k2$uxboole$u0'(X0,X1) <=> ! [X3] : (('r2$uhidden'(X3,X2) <=> ('r2$uhidden'(X3,X0) | 'r2$uhidden'(X3,X1))))))).
% 17.83/4.70 fof(dt_k1_latsum_1, axiom, ! [X0] : ! [X1] : ((('l1$uorders$u2'(X0) & 'l1$uorders$u2'(X1)) => ('v1$uorders$u2'('k1$ulatsum$u1'(X0,X1)) & 'l1$uorders$u2'('k1$ulatsum$u1'(X0,X1)))))).
% 17.83/4.70 fof(t1_subset, axiom, ! [X0] : ! [X1] : (('r2$uhidden'(X0,X1) => 'm1$usubset$u1'(X0,X1)))).
% 17.83/4.70 fof(t11_latsum_1, conjecture, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v2$uorders$u2'(X0) & ('v3$uorders$u2'(X0) & ('v4$uorders$u2'(X0) & ('v1$ulattice3'(X0) & 'l1$uorders$u2'(X0)))))) => ! [X1] : (((~'v3$ustruct$u0'(X1) & ('v2$uorders$u2'(X1) & ('v3$uorders$u2'(X1) & ('v4$uorders$u2'(X1) & ('v1$ulattice3'(X1) & 'l1$uorders$u2'(X1)))))) => ! [X2] : (('r2$uhidden'(X2,'u1$ustruct$u0'(X1)) => 'm1$usubset$u1'(X2,'u1$ustruct$u0'('k1$ulatsum$u1'(X0,X1)))))))))).
% 17.83/4.70 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((~'v3$ustruct$u0'(X0) & ('v2$uorders$u2'(X0) & ('v3$uorders$u2'(X0) & ('v4$uorders$u2'(X0) & ('v1$ulattice3'(X0) & 'l1$uorders$u2'(X0)))))) => ! [X1] : (((~'v3$ustruct$u0'(X1) & ('v2$uorders$u2'(X1) & ('v3$uorders$u2'(X1) & ('v4$uorders$u2'(X1) & ('v1$ulattice3'(X1) & 'l1$uorders$u2'(X1)))))) => ! [X2] : (('r2$uhidden'(X2,'u1$ustruct$u0'(X1)) => 'm1$usubset$u1'(X2,'u1$ustruct$u0'('k1$ulatsum$u1'(X0,X1))))))))), inference(negate_conjecture, [status(cth)], [t11_latsum_1])).
% 17.83/4.70 cnf(c3, plain, 'k2$uxboole$u0'(X0,X1) = 'k2$uxboole$u0'(X1,X0), inference(clausification, [status(esa)], [commutativity_k2_xboole_0])).
% 17.83/4.70 cnf(c4, plain, ~'l1$uorders$u2'(X0) | 'u1$ustruct$u0'(X0) = 'k2$uxboole$u0'('u1$ustruct$u0'(X1),'u1$ustruct$u0'(X2)) | ~'v1$uorders$u2'(X0) | ~'l1$uorders$u2'(X1) | ~'l1$uorders$u2'(X2) | X0 != 'k1$ulatsum$u1'(X1,X2), inference(clausification, [status(esa)], [d2_latsum_1])).
% 17.83/4.70 cnf(c7, plain, X0 != 'k2$uxboole$u0'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_xboole_0])).
% 17.83/4.70 cnf(c10, plain, ~X0(X1,X2,X3) | 'r2$uhidden'(X4,X3) | ~'r2$uhidden'(X4,X1), inference(clausification, [status(esa)], [d2_xboole_0])).
% 17.83/4.70 cnf(c20, plain, ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'(X1) | 'v1$uorders$u2'('k1$ulatsum$u1'(X0,X1)), inference(clausification, [status(esa)], [dt_k1_latsum_1])).
% 17.83/4.70 cnf(c21, plain, ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'(X1) | 'l1$uorders$u2'('k1$ulatsum$u1'(X0,X1)), inference(clausification, [status(esa)], [dt_k1_latsum_1])).
% 17.83/4.70 cnf(c54, plain, ~'r2$uhidden'(X0,X1) | 'm1$usubset$u1'(X0,X1), inference(clausification, [status(esa)], [t1_subset])).
% 17.83/4.70 cnf(c68, plain, 'l1$uorders$u2'(sK93), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.83/4.70 cnf(c74, plain, 'l1$uorders$u2'(sK94), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.83/4.70 cnf(c75, plain, 'r2$uhidden'(sK95,'u1$ustruct$u0'(sK94)), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.83/4.70 cnf(c76, plain, ~'m1$usubset$u1'(sK95,'u1$ustruct$u0'('k1$ulatsum$u1'(sK93,sK94))), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.83/4.70 cnf(d0, plain, 'Ts11'(X0,X1,'k2$uxboole$u0'(X0,X1)), inference(equality_resolution, [status(thm)], [c7])).
% 17.83/4.70 cnf(d1, plain, 'r2$uhidden'(X0,'k2$uxboole$u0'(X1,X2)) | ~'r2$uhidden'(X0,X1), inference(resolution, [status(thm)], [d0,c10])).
% 17.83/4.70 cnf(d2, plain, ~'r2$uhidden'(X0,X1) | 'm1$usubset$u1'(X0,'k2$uxboole$u0'(X1,X2)), inference(resolution, [status(thm)], [d1,c54])).
% 17.83/4.70 cnf(d3, plain, 'u1$ustruct$u0'('k1$ulatsum$u1'(X0,X1)) = 'k2$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)) | ~'v1$uorders$u2'('k1$ulatsum$u1'(X0,X1)) | ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'('k1$ulatsum$u1'(X0,X1)) | ~'l1$uorders$u2'(X1), inference(equality_resolution, [status(thm)], [c4])).
% 17.83/4.70 cnf(d4, plain, 'u1$ustruct$u0'('k1$ulatsum$u1'(X0,X1)) = 'k2$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)) | ~'v1$uorders$u2'('k1$ulatsum$u1'(X0,X1)) | ~'l1$uorders$u2'(X1) | ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'(X1), inference(resolution, [status(thm)], [d3,c21])).
% 17.83/4.70 cnf(d5, plain, 'u1$ustruct$u0'('k1$ulatsum$u1'(X0,X1)) = 'k2$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)) | ~'l1$uorders$u2'(X1) | ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'(X1), inference(resolution, [status(thm)], [d4,c20])).
% 17.83/4.70 cnf(d6, plain, 'u1$ustruct$u0'('k1$ulatsum$u1'(sK93,X0)) = 'k2$uxboole$u0'('u1$ustruct$u0'(sK93),'u1$ustruct$u0'(X0)) | ~'l1$uorders$u2'(X0), inference(resolution, [status(thm)], [d5,c68])).
% 17.83/4.70 cnf(d7, plain, 'u1$ustruct$u0'('k1$ulatsum$u1'(sK93,sK94)) = 'k2$uxboole$u0'('u1$ustruct$u0'(sK93),'u1$ustruct$u0'(sK94)), inference(resolution, [status(thm)], [d6,c74])).
% 17.83/4.70 cnf(d8, plain, 'u1$ustruct$u0'('k1$ulatsum$u1'(sK93,sK94)) = 'k2$uxboole$u0'('u1$ustruct$u0'(sK94),'u1$ustruct$u0'(sK93)), inference(demodulation, [status(thm)], [d7,c3])).
% 17.83/4.70 cnf(d9, plain, 'm1$usubset$u1'(X0,'u1$ustruct$u0'('k1$ulatsum$u1'(sK93,sK94))) | ~'r2$uhidden'(X0,'u1$ustruct$u0'(sK94)), inference(superposition, [status(thm)], [d8,d2])).
% 17.83/4.70 cnf(d10, plain, ~'r2$uhidden'(sK95,'u1$ustruct$u0'(sK94)), inference(resolution, [status(thm)], [d9,c76])).
% 17.83/4.70 cnf(d11, plain, $false, inference(resolution, [status(thm)], [c75,d10])).
% 17.83/4.70 % SZS output end CNFRefutation for theBenchmark.p
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