%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU411+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 : n011.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 08:41:55 AM UTC 2026
% Result : Theorem 10.72s 4.88s
% Output : CNFRefutation 10.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU411+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n011.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 09:30:29 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.72/4.88 % SZS status Theorem for theBenchmark.p
% 10.72/4.88 % SZS output start CNFRefutation for theBenchmark.p
% 10.72/4.88 fof(commutativity_k3_xboole_0, axiom, ! [X0] : ! [X1] : 'k3$uxboole$u0'(X0,X1) = 'k3$uxboole$u0'(X1,X0)).
% 10.72/4.88 fof(d19_waybel_0, axiom, ! [X0] : (('l1$uorders$u2'(X0) => ! [X1] : (('m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) => ('v12$uwaybel$u0'(X1,X0) <=> ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) => ! [X3] : (('m1$usubset$u1'(X3,'u1$ustruct$u0'(X0)) => (('r2$uhidden'(X2,X1) & 'r1$uorders$u2'(X0,X3,X2)) => 'r2$uhidden'(X3,X1)))))))))))).
% 10.72/4.88 fof(d3_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'k3$uxboole$u0'(X0,X1) <=> ! [X3] : (('r2$uhidden'(X3,X2) <=> ('r2$uhidden'(X3,X0) & 'r2$uhidden'(X3,X1))))))).
% 10.72/4.88 fof(dt_k3_yellow_0, axiom, ! [X0] : (('l1$uorders$u2'(X0) => 'm1$usubset$u1'('k3$uyellow$u0'(X0),'u1$ustruct$u0'(X0))))).
% 10.72/4.88 fof(existence_m1_subset_1, axiom, ! [X0] : ? [X1] : 'm1$usubset$u1'(X1,X0)).
% 10.72/4.88 fof(t2_subset, axiom, ! [X0] : ! [X1] : (('m1$usubset$u1'(X0,X1) => ('v1$uxboole$u0'(X1) | 'r2$uhidden'(X0,X1))))).
% 10.72/4.89 fof(t44_yellow_0, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v4$uorders$u2'(X0) & ('v1$uyellow$u0'(X0) & 'l1$uorders$u2'(X0)))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => 'r1$uorders$u2'(X0,'k3$uyellow$u0'(X0),X1)))))).
% 10.72/4.89 fof(t4_subset, axiom, ! [X0] : ! [X1] : ! [X2] : ((('r2$uhidden'(X0,X1) & 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X2))) => 'm1$usubset$u1'(X0,X2)))).
% 10.72/4.89 fof(t20_latsum_1, conjecture, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v2$uorders$u2'(X0) & ('v3$uorders$u2'(X0) & ('v4$uorders$u2'(X0) & ('v1$uyellow$u0'(X0) & ('v1$ulattice3'(X0) & 'l1$uorders$u2'(X0))))))) => ! [X1] : (((~'v3$ustruct$u0'(X1) & ('v2$uorders$u2'(X1) & ('v3$uorders$u2'(X1) & ('v4$uorders$u2'(X1) & ('v1$uyellow$u0'(X1) & ('v1$ulattice3'(X1) & 'l1$uorders$u2'(X1))))))) => ((~'v1$uxboole$u0'('k3$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1))) & ('v1$uwaybel$u0'('k3$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)),X1) & ('v12$uwaybel$u0'('k3$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)),X1) & 'm1$usubset$u1'('k3$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)),'k1$uzfmisc$u1'('u1$ustruct$u0'(X1)))))) => 'r2$uhidden'('k3$uyellow$u0'(X1),'u1$ustruct$u0'(X0)))))))).
% 10.72/4.89 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((~'v3$ustruct$u0'(X0) & ('v2$uorders$u2'(X0) & ('v3$uorders$u2'(X0) & ('v4$uorders$u2'(X0) & ('v1$uyellow$u0'(X0) & ('v1$ulattice3'(X0) & 'l1$uorders$u2'(X0))))))) => ! [X1] : (((~'v3$ustruct$u0'(X1) & ('v2$uorders$u2'(X1) & ('v3$uorders$u2'(X1) & ('v4$uorders$u2'(X1) & ('v1$uyellow$u0'(X1) & ('v1$ulattice3'(X1) & 'l1$uorders$u2'(X1))))))) => ((~'v1$uxboole$u0'('k3$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1))) & ('v1$uwaybel$u0'('k3$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)),X1) & ('v12$uwaybel$u0'('k3$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)),X1) & 'm1$usubset$u1'('k3$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)),'k1$uzfmisc$u1'('u1$ustruct$u0'(X1)))))) => 'r2$uhidden'('k3$uyellow$u0'(X1),'u1$ustruct$u0'(X0))))))), inference(negate_conjecture, [status(cth)], [t20_latsum_1])).
% 10.72/4.89 cnf(c1, plain, 'k3$uxboole$u0'(X0,X1) = 'k3$uxboole$u0'(X1,X0), inference(clausification, [status(esa)], [commutativity_k3_xboole_0])).
% 10.72/4.89 cnf(c2, plain, ~'l1$uorders$u2'(X0) | ~'m1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) | ~'v12$uwaybel$u0'(X1,X0) | X2(X0,X1), inference(clausification, [status(esa)], [d19_waybel_0])).
% 10.72/4.89 cnf(c4, plain, 'r2$uhidden'(X0,X1) | ~X2(X3,X1) | ~'r2$uhidden'(X4,X1) | ~'m1$usubset$u1'(X4,'u1$ustruct$u0'(X3)) | ~'r1$uorders$u2'(X3,X0,X4) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(X3)), inference(clausification, [status(esa)], [d19_waybel_0])).
% 10.72/4.89 cnf(c12, plain, X0 != 'k3$uxboole$u0'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d3_xboole_0])).
% 10.72/4.89 cnf(c15, plain, ~X0(X1,X2,X3) | ~'r2$uhidden'(X4,X3) | 'r2$uhidden'(X4,X2), inference(clausification, [status(esa)], [d3_xboole_0])).
% 10.72/4.89 cnf(c23, plain, ~'l1$uorders$u2'(X0) | 'm1$usubset$u1'('k3$uyellow$u0'(X0),'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [dt_k3_yellow_0])).
% 10.72/4.89 cnf(c27, plain, 'm1$usubset$u1'(sK25(X0),X0), inference(clausification, [status(esa)], [existence_m1_subset_1])).
% 10.72/4.89 cnf(c48, plain, ~'m1$usubset$u1'(X0,X1) | 'v1$uxboole$u0'(X1) | 'r2$uhidden'(X0,X1), inference(clausification, [status(esa)], [t2_subset])).
% 10.72/4.89 cnf(c51, plain, 'v3$ustruct$u0'(X0) | ~'v1$uyellow$u0'(X0) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | ~'l1$uorders$u2'(X0) | 'r1$uorders$u2'(X0,'k3$uyellow$u0'(X0),X1) | ~'v4$uorders$u2'(X0), inference(clausification, [status(esa)], [t44_yellow_0])).
% 10.72/4.89 cnf(c52, plain, ~'r2$uhidden'(X0,X1) | ~'m1$usubset$u1'(X1,'k1$uzfmisc$u1'(X2)) | 'm1$usubset$u1'(X0,X2), inference(clausification, [status(esa)], [t4_subset])).
% 10.72/4.89 cnf(c64, plain, ~'v3$ustruct$u0'(sK68), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.72/4.89 cnf(c67, plain, 'v4$uorders$u2'(sK68), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.72/4.89 cnf(c68, plain, 'v1$uyellow$u0'(sK68), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.72/4.89 cnf(c70, plain, 'l1$uorders$u2'(sK68), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.72/4.89 cnf(c71, plain, ~'v1$uxboole$u0'('k3$uxboole$u0'('u1$ustruct$u0'(sK67),'u1$ustruct$u0'(sK68))), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.72/4.89 cnf(c73, plain, 'v12$uwaybel$u0'('k3$uxboole$u0'('u1$ustruct$u0'(sK67),'u1$ustruct$u0'(sK68)),sK68), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.72/4.89 cnf(c74, plain, 'm1$usubset$u1'('k3$uxboole$u0'('u1$ustruct$u0'(sK67),'u1$ustruct$u0'(sK68)),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK68))), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.72/4.89 cnf(c75, plain, ~'r2$uhidden'('k3$uyellow$u0'(sK68),'u1$ustruct$u0'(sK67)), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.72/4.89 cnf(d0, plain, 'Ts14'(X0,X1,'k3$uxboole$u0'(X0,X1)), inference(equality_resolution, [status(thm)], [c12])).
% 10.72/4.89 cnf(d1, plain, 'r2$uhidden'(X0,X1) | ~'r2$uhidden'(X0,'k3$uxboole$u0'(X2,X1)), inference(resolution, [status(thm)], [d0,c15])).
% 10.72/4.89 cnf(d2, plain, 'r2$uhidden'(sK25(X0),X0) | 'v1$uxboole$u0'(X0), inference(resolution, [status(thm)], [c48,c27])).
% 10.72/4.89 cnf(d3, plain, 'm1$usubset$u1'('k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67)),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK68))), inference(demodulation, [status(thm)], [c74,c1])).
% 10.72/4.89 cnf(d4, plain, ~'r2$uhidden'(X0,'k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67))) | 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK68)), inference(resolution, [status(thm)], [c52,d3])).
% 10.72/4.89 cnf(d5, plain, 'v1$uxboole$u0'('k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67))) | 'm1$usubset$u1'(sK25('k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67))),'u1$ustruct$u0'(sK68)), inference(resolution, [status(thm)], [d2,d4])).
% 10.72/4.89 cnf(d6, plain, ~'v1$uxboole$u0'('k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67))), inference(demodulation, [status(thm)], [c71,c1])).
% 10.72/4.89 cnf(d7, plain, 'm1$usubset$u1'(sK25('k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67))),'u1$ustruct$u0'(sK68)), inference(resolution, [status(thm)], [d6,d5])).
% 10.72/4.89 cnf(d8, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) | ~'l1$uorders$u2'(X1) | 'v3$ustruct$u0'(X1) | ~'v4$uorders$u2'(X1) | ~'v1$uyellow$u0'(X1) | 'r2$uhidden'('k3$uyellow$u0'(X1),X2) | ~'r2$uhidden'(X0,X2) | ~'m1$usubset$u1'('k3$uyellow$u0'(X1),'u1$ustruct$u0'(X1)) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) | ~'Ts4'(X1,X2), inference(resolution, [status(thm)], [c51,c4])).
% 10.72/4.89 cnf(d9, plain, ~'r2$uhidden'(X0,X1) | 'r2$uhidden'('k3$uyellow$u0'(X2),X1) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(X2)) | ~'l1$uorders$u2'(X2) | ~'Ts4'(X2,X1) | 'v3$ustruct$u0'(X2) | ~'v4$uorders$u2'(X2) | ~'v1$uyellow$u0'(X2) | ~'l1$uorders$u2'(X2), inference(resolution, [status(thm)], [d8,c23])).
% 10.72/4.89 cnf(d10, plain, ~'r2$uhidden'(sK25('k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67))),X0) | 'r2$uhidden'('k3$uyellow$u0'(sK68),X0) | ~'l1$uorders$u2'(sK68) | ~'Ts4'(sK68,X0) | 'v3$ustruct$u0'(sK68) | ~'v4$uorders$u2'(sK68) | ~'v1$uyellow$u0'(sK68), inference(resolution, [status(thm)], [d9,d7])).
% 10.72/4.89 cnf(d11, plain, 'r2$uhidden'('k3$uyellow$u0'(sK68),X0) | ~'r2$uhidden'(sK25('k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67))),X0) | ~'l1$uorders$u2'(sK68) | ~'Ts4'(sK68,X0) | ~'v4$uorders$u2'(sK68) | ~'v1$uyellow$u0'(sK68), inference(resolution, [status(thm)], [c64,d10])).
% 10.72/4.89 cnf(d12, plain, 'r2$uhidden'('k3$uyellow$u0'(sK68),X0) | ~'r2$uhidden'(sK25('k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67))),X0) | ~'l1$uorders$u2'(sK68) | ~'Ts4'(sK68,X0) | ~'v1$uyellow$u0'(sK68), inference(resolution, [status(thm)], [c67,d11])).
% 10.72/4.89 cnf(d13, plain, 'r2$uhidden'('k3$uyellow$u0'(sK68),X0) | ~'r2$uhidden'(sK25('k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67))),X0) | ~'l1$uorders$u2'(sK68) | ~'Ts4'(sK68,X0), inference(resolution, [status(thm)], [c68,d12])).
% 10.72/4.89 cnf(d14, plain, 'r2$uhidden'('k3$uyellow$u0'(sK68),X0) | ~'r2$uhidden'(sK25('k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67))),X0) | ~'Ts4'(sK68,X0), inference(resolution, [status(thm)], [c70,d13])).
% 10.72/4.89 cnf(d15, plain, 'r2$uhidden'('k3$uyellow$u0'(sK68),'k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67))) | ~'Ts4'(sK68,'k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67))) | 'v1$uxboole$u0'('k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67))), inference(resolution, [status(thm)], [d14,d2])).
% 10.72/4.89 cnf(d16, plain, 'r2$uhidden'('k3$uyellow$u0'(sK68),'k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67))) | ~'Ts4'(sK68,'k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67))), inference(resolution, [status(thm)], [d6,d15])).
% 10.72/4.89 cnf(d17, plain, ~'v12$uwaybel$u0'('k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67)),sK68) | ~'l1$uorders$u2'(sK68) | 'Ts4'(sK68,'k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67))), inference(resolution, [status(thm)], [d3,c2])).
% 10.72/4.89 cnf(d18, plain, ~'v12$uwaybel$u0'('k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67)),sK68) | 'Ts4'(sK68,'k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67))), inference(resolution, [status(thm)], [c70,d17])).
% 10.72/4.89 cnf(d19, plain, 'v12$uwaybel$u0'('k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67)),sK68), inference(demodulation, [status(thm)], [c73,c1])).
% 10.72/4.89 cnf(d20, plain, 'Ts4'(sK68,'k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67))), inference(resolution, [status(thm)], [d19,d18])).
% 10.72/4.89 cnf(d21, plain, 'r2$uhidden'('k3$uyellow$u0'(sK68),'k3$uxboole$u0'('u1$ustruct$u0'(sK68),'u1$ustruct$u0'(sK67))), inference(resolution, [status(thm)], [d20,d16])).
% 10.72/4.89 cnf(d22, plain, 'r2$uhidden'('k3$uyellow$u0'(sK68),'u1$ustruct$u0'(sK67)), inference(resolution, [status(thm)], [d21,d1])).
% 10.72/4.89 cnf(d23, plain, $false, inference(resolution, [status(thm)], [c75,d22])).
% 10.72/4.89 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------