%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT362+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 : n007.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 07:48:29 AM UTC 2026
% Result : Theorem 23.45s 3.60s
% Output : CNFRefutation 23.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT362+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 : n007.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
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 21:18:53 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.45/3.60 % SZS status Theorem for theBenchmark.p
% 23.45/3.60 % SZS output start CNFRefutation for theBenchmark.p
% 23.45/3.60 fof(cc2_setfam_1, axiom, ! [X0] : ((~'v2$usetfam$u1'(X0) => ~'v1$uxboole$u0'(X0)))).
% 23.45/3.60 fof(d41_functor0, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v2$ualtcat$u1'(X0) & ('v12$ualtcat$u1'(X0) & 'l2$ualtcat$u1'(X0)))) => ! [X1] : (((~'v3$ustruct$u0'(X1) & ('v2$ualtcat$u1'(X1) & ('v12$ualtcat$u1'(X1) & 'l2$ualtcat$u1'(X1)))) => ('r2$ufunctor0'(X0,X1) <=> ? [X2] : (('m2$ufunctor0'(X2,X0,X1) & ('v21$ufunctor0'(X2,X0,X1) & 'v16$ufunctor0'(X2,X0,X1)))))))))).
% 23.45/3.60 fof(dt_k4_waybel34, axiom, ! [X0] : ((~'v1$uxboole$u0'(X0) => (~'v3$ustruct$u0'('k4$uwaybel34'(X0)) & ('v2$ualtcat$u1'('k4$uwaybel34'(X0)) & ('v6$ualtcat$u1'('k4$uwaybel34'(X0)) & ('v11$ualtcat$u1'('k4$uwaybel34'(X0)) & ('v12$ualtcat$u1'('k4$uwaybel34'(X0)) & ('v2$uyellow21'('k4$uwaybel34'(X0)) & 'l2$ualtcat$u1'('k4$uwaybel34'(X0))))))))))).
% 23.45/3.60 fof(dt_k5_waybel34, axiom, ! [X0] : ((~'v1$uxboole$u0'(X0) => (~'v3$ustruct$u0'('k5$uwaybel34'(X0)) & ('v2$ualtcat$u1'('k5$uwaybel34'(X0)) & ('v6$ualtcat$u1'('k5$uwaybel34'(X0)) & ('v11$ualtcat$u1'('k5$uwaybel34'(X0)) & ('v12$ualtcat$u1'('k5$uwaybel34'(X0)) & ('v2$uyellow21'('k5$uwaybel34'(X0)) & 'l2$ualtcat$u1'('k5$uwaybel34'(X0))))))))))).
% 23.45/3.60 fof(dt_k6_waybel34, axiom, ! [X0] : ((~'v2$usetfam$u1'(X0) => ('v9$ufunctor0'('k6$uwaybel34'(X0),'k4$uwaybel34'(X0),'k5$uwaybel34'(X0)) & ('v16$ufunctor0'('k6$uwaybel34'(X0),'k4$uwaybel34'(X0),'k5$uwaybel34'(X0)) & 'm2$ufunctor0'('k6$uwaybel34'(X0),'k4$uwaybel34'(X0),'k5$uwaybel34'(X0))))))).
% 23.45/3.60 fof(fc6_waybel34, axiom, ! [X0] : ((~'v2$usetfam$u1'(X0) => (~'v3$ustruct$u0'('k5$uwaybel34'(X0)) & ('v2$ualtcat$u1'('k5$uwaybel34'(X0)) & ('v6$ualtcat$u1'('k5$uwaybel34'(X0)) & ('v9$ualtcat$u1'('k5$uwaybel34'(X0)) & ('v11$ualtcat$u1'('k5$uwaybel34'(X0)) & ('v12$ualtcat$u1'('k5$uwaybel34'(X0)) & ('v1$ualtcat$u2'('k5$uwaybel34'(X0)) & ('v2$uyellow18'('k5$uwaybel34'(X0)) & ('v3$uyellow18'('k5$uwaybel34'(X0)) & ('v4$uyellow18'('k5$uwaybel34'(X0)) & ('v1$uyellow21'('k5$uwaybel34'(X0)) & ('v2$uyellow21'('k5$uwaybel34'(X0)) & 'v3$uyellow21'('k5$uwaybel34'(X0))))))))))))))))).
% 23.45/3.60 fof(fc7_waybel34, axiom, ! [X0] : ((~'v2$usetfam$u1'(X0) => ('v6$ufunctor0'('k6$uwaybel34'(X0),'k4$uwaybel34'(X0),'k5$uwaybel34'(X0)) & ('v8$ufunctor0'('k6$uwaybel34'(X0),'k4$uwaybel34'(X0),'k5$uwaybel34'(X0)) & ('v9$ufunctor0'('k6$uwaybel34'(X0),'k4$uwaybel34'(X0),'k5$uwaybel34'(X0)) & ('v11$ufunctor0'('k6$uwaybel34'(X0),'k4$uwaybel34'(X0),'k5$uwaybel34'(X0)) & ('v12$ufunctor0'('k6$uwaybel34'(X0),'k4$uwaybel34'(X0),'k5$uwaybel34'(X0)) & ('v14$ufunctor0'('k6$uwaybel34'(X0),'k4$uwaybel34'(X0),'k5$uwaybel34'(X0)) & ('v16$ufunctor0'('k6$uwaybel34'(X0),'k4$uwaybel34'(X0),'k5$uwaybel34'(X0)) & 'v21$ufunctor0'('k6$uwaybel34'(X0),'k4$uwaybel34'(X0),'k5$uwaybel34'(X0)))))))))))).
% 23.45/3.60 fof(t20_waybel34, conjecture, ! [X0] : ((~'v2$usetfam$u1'(X0) => 'r2$ufunctor0'('k4$uwaybel34'(X0),'k5$uwaybel34'(X0))))).
% 23.45/3.60 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((~'v2$usetfam$u1'(X0) => 'r2$ufunctor0'('k4$uwaybel34'(X0),'k5$uwaybel34'(X0)))), inference(negate_conjecture, [status(cth)], [t20_waybel34])).
% 23.45/3.60 cnf(c62, plain, 'v2$usetfam$u1'(X0) | ~'v1$uxboole$u0'(X0), inference(clausification, [status(esa)], [cc2_setfam_1])).
% 23.45/3.60 cnf(c91, plain, 'r2$ufunctor0'(X0,X1) | ~'l2$ualtcat$u1'(X0) | ~'v16$ufunctor0'(X2,X0,X1) | ~'v2$ualtcat$u1'(X1) | 'v3$ustruct$u0'(X1) | ~'m2$ufunctor0'(X2,X0,X1) | ~'v12$ualtcat$u1'(X1) | ~'v2$ualtcat$u1'(X0) | 'v3$ustruct$u0'(X0) | ~'l2$ualtcat$u1'(X1) | ~'v21$ufunctor0'(X2,X0,X1) | ~'v12$ualtcat$u1'(X0), inference(clausification, [status(esa)], [d41_functor0])).
% 23.45/3.60 cnf(c98, plain, 'v1$uxboole$u0'(X0) | X1(X0), inference(clausification, [status(esa)], [dt_k4_waybel34])).
% 23.45/3.60 cnf(c99, plain, ~X0(X1) | ~'v3$ustruct$u0'('k4$uwaybel34'(X1)), inference(clausification, [status(esa)], [dt_k4_waybel34])).
% 23.45/3.60 cnf(c100, plain, ~X0(X1) | 'v2$ualtcat$u1'('k4$uwaybel34'(X1)), inference(clausification, [status(esa)], [dt_k4_waybel34])).
% 23.45/3.60 cnf(c103, plain, ~X0(X1) | 'v12$ualtcat$u1'('k4$uwaybel34'(X1)), inference(clausification, [status(esa)], [dt_k4_waybel34])).
% 23.45/3.60 cnf(c105, plain, ~X0(X1) | 'l2$ualtcat$u1'('k4$uwaybel34'(X1)), inference(clausification, [status(esa)], [dt_k4_waybel34])).
% 23.45/3.60 cnf(c106, plain, 'v1$uxboole$u0'(X0) | X1(X0), inference(clausification, [status(esa)], [dt_k5_waybel34])).
% 23.45/3.60 cnf(c107, plain, ~X0(X1) | ~'v3$ustruct$u0'('k5$uwaybel34'(X1)), inference(clausification, [status(esa)], [dt_k5_waybel34])).
% 23.45/3.60 cnf(c113, plain, ~X0(X1) | 'l2$ualtcat$u1'('k5$uwaybel34'(X1)), inference(clausification, [status(esa)], [dt_k5_waybel34])).
% 23.45/3.60 cnf(c116, plain, 'v2$usetfam$u1'(X0) | 'm2$ufunctor0'('k6$uwaybel34'(X0),'k4$uwaybel34'(X0),'k5$uwaybel34'(X0)), inference(clausification, [status(esa)], [dt_k6_waybel34])).
% 23.45/3.60 cnf(c167, plain, 'v2$usetfam$u1'(X0) | X1(X0), inference(clausification, [status(esa)], [fc6_waybel34])).
% 23.45/3.60 cnf(c169, plain, ~X0(X1) | 'v2$ualtcat$u1'('k5$uwaybel34'(X1)), inference(clausification, [status(esa)], [fc6_waybel34])).
% 23.45/3.60 cnf(c173, plain, ~X0(X1) | 'v12$ualtcat$u1'('k5$uwaybel34'(X1)), inference(clausification, [status(esa)], [fc6_waybel34])).
% 23.45/3.60 cnf(c184, plain, 'v2$usetfam$u1'(X0) | X1(X0), inference(clausification, [status(esa)], [fc7_waybel34])).
% 23.45/3.60 cnf(c191, plain, ~X0(X1) | 'v16$ufunctor0'('k6$uwaybel34'(X1),'k4$uwaybel34'(X1),'k5$uwaybel34'(X1)), inference(clausification, [status(esa)], [fc7_waybel34])).
% 23.45/3.60 cnf(c192, plain, ~X0(X1) | 'v21$ufunctor0'('k6$uwaybel34'(X1),'k4$uwaybel34'(X1),'k5$uwaybel34'(X1)), inference(clausification, [status(esa)], [fc7_waybel34])).
% 23.45/3.60 cnf(c272, plain, ~'v2$usetfam$u1'(sK237), inference(clausification, [status(esa)], [negated_conjecture])).
% 23.45/3.60 cnf(c273, plain, ~'r2$ufunctor0'('k4$uwaybel34'(sK237),'k5$uwaybel34'(sK237)), inference(clausification, [status(esa)], [negated_conjecture])).
% 23.45/3.60 cnf(d0, plain, ~'Ts167'(X0) | ~'l2$ualtcat$u1'('k4$uwaybel34'(X0)) | ~'l2$ualtcat$u1'('k5$uwaybel34'(X0)) | ~'v12$ualtcat$u1'('k4$uwaybel34'(X0)) | ~'v12$ualtcat$u1'('k5$uwaybel34'(X0)) | ~'m2$ufunctor0'('k6$uwaybel34'(X0),'k4$uwaybel34'(X0),'k5$uwaybel34'(X0)) | ~'v2$ualtcat$u1'('k4$uwaybel34'(X0)) | ~'v2$ualtcat$u1'('k5$uwaybel34'(X0)) | 'v3$ustruct$u0'('k4$uwaybel34'(X0)) | 'v3$ustruct$u0'('k5$uwaybel34'(X0)) | ~'v16$ufunctor0'('k6$uwaybel34'(X0),'k4$uwaybel34'(X0),'k5$uwaybel34'(X0)) | 'r2$ufunctor0'('k4$uwaybel34'(X0),'k5$uwaybel34'(X0)), inference(resolution, [status(thm)], [c192,c91])).
% 23.45/3.60 cnf(d1, plain, ~'l2$ualtcat$u1'('k4$uwaybel34'(X0)) | ~'l2$ualtcat$u1'('k5$uwaybel34'(X0)) | ~'v12$ualtcat$u1'('k4$uwaybel34'(X0)) | ~'v12$ualtcat$u1'('k5$uwaybel34'(X0)) | ~'m2$ufunctor0'('k6$uwaybel34'(X0),'k4$uwaybel34'(X0),'k5$uwaybel34'(X0)) | ~'v2$ualtcat$u1'('k4$uwaybel34'(X0)) | ~'v2$ualtcat$u1'('k5$uwaybel34'(X0)) | 'v3$ustruct$u0'('k4$uwaybel34'(X0)) | 'v3$ustruct$u0'('k5$uwaybel34'(X0)) | 'r2$ufunctor0'('k4$uwaybel34'(X0),'k5$uwaybel34'(X0)) | ~'Ts167'(X0) | ~'Ts167'(X0), inference(resolution, [status(thm)], [d0,c191])).
% 23.45/3.60 cnf(d2, plain, ~'l2$ualtcat$u1'('k4$uwaybel34'(X0)) | ~'l2$ualtcat$u1'('k5$uwaybel34'(X0)) | ~'v12$ualtcat$u1'('k4$uwaybel34'(X0)) | ~'v12$ualtcat$u1'('k5$uwaybel34'(X0)) | ~'v2$ualtcat$u1'('k4$uwaybel34'(X0)) | ~'v2$ualtcat$u1'('k5$uwaybel34'(X0)) | 'v3$ustruct$u0'('k4$uwaybel34'(X0)) | 'v3$ustruct$u0'('k5$uwaybel34'(X0)) | 'r2$ufunctor0'('k4$uwaybel34'(X0),'k5$uwaybel34'(X0)) | ~'Ts167'(X0) | 'v2$usetfam$u1'(X0), inference(resolution, [status(thm)], [d1,c116])).
% 23.45/3.60 cnf(d3, plain, ~'l2$ualtcat$u1'('k4$uwaybel34'(sK237)) | ~'l2$ualtcat$u1'('k5$uwaybel34'(sK237)) | ~'v12$ualtcat$u1'('k4$uwaybel34'(sK237)) | ~'v12$ualtcat$u1'('k5$uwaybel34'(sK237)) | ~'v2$ualtcat$u1'('k4$uwaybel34'(sK237)) | ~'v2$ualtcat$u1'('k5$uwaybel34'(sK237)) | 'v3$ustruct$u0'('k4$uwaybel34'(sK237)) | 'v3$ustruct$u0'('k5$uwaybel34'(sK237)) | 'v2$usetfam$u1'(sK237) | ~'Ts167'(sK237), inference(resolution, [status(thm)], [d2,c273])).
% 23.45/3.60 cnf(d4, plain, ~'l2$ualtcat$u1'('k4$uwaybel34'(sK237)) | ~'l2$ualtcat$u1'('k5$uwaybel34'(sK237)) | ~'v12$ualtcat$u1'('k4$uwaybel34'(sK237)) | ~'v12$ualtcat$u1'('k5$uwaybel34'(sK237)) | ~'v2$ualtcat$u1'('k4$uwaybel34'(sK237)) | ~'v2$ualtcat$u1'('k5$uwaybel34'(sK237)) | 'v3$ustruct$u0'('k4$uwaybel34'(sK237)) | 'v3$ustruct$u0'('k5$uwaybel34'(sK237)) | ~'Ts167'(sK237), inference(resolution, [status(thm)], [c272,d3])).
% 23.45/3.60 cnf(d5, plain, ~'l2$ualtcat$u1'('k4$uwaybel34'(sK237)) | ~'l2$ualtcat$u1'('k5$uwaybel34'(sK237)) | ~'v12$ualtcat$u1'('k4$uwaybel34'(sK237)) | ~'v12$ualtcat$u1'('k5$uwaybel34'(sK237)) | ~'v2$ualtcat$u1'('k4$uwaybel34'(sK237)) | 'v3$ustruct$u0'('k4$uwaybel34'(sK237)) | 'v3$ustruct$u0'('k5$uwaybel34'(sK237)) | ~'Ts167'(sK237) | ~'Ts162'(sK237), inference(resolution, [status(thm)], [d4,c169])).
% 23.45/3.60 cnf(d6, plain, 'Ts162'(sK237), inference(resolution, [status(thm)], [c167,c272])).
% 23.45/3.60 cnf(d7, plain, ~'l2$ualtcat$u1'('k4$uwaybel34'(sK237)) | ~'l2$ualtcat$u1'('k5$uwaybel34'(sK237)) | ~'v12$ualtcat$u1'('k4$uwaybel34'(sK237)) | ~'v12$ualtcat$u1'('k5$uwaybel34'(sK237)) | ~'v2$ualtcat$u1'('k4$uwaybel34'(sK237)) | 'v3$ustruct$u0'('k4$uwaybel34'(sK237)) | 'v3$ustruct$u0'('k5$uwaybel34'(sK237)) | ~'Ts167'(sK237), inference(resolution, [status(thm)], [d6,d5])).
% 23.45/3.60 cnf(d8, plain, ~'l2$ualtcat$u1'('k4$uwaybel34'(sK237)) | ~'l2$ualtcat$u1'('k5$uwaybel34'(sK237)) | ~'v12$ualtcat$u1'('k4$uwaybel34'(sK237)) | ~'v12$ualtcat$u1'('k5$uwaybel34'(sK237)) | 'v3$ustruct$u0'('k4$uwaybel34'(sK237)) | 'v3$ustruct$u0'('k5$uwaybel34'(sK237)) | ~'Ts167'(sK237) | ~'Ts86'(sK237), inference(resolution, [status(thm)], [d7,c100])).
% 23.45/3.60 cnf(d9, plain, ~'l2$ualtcat$u1'('k4$uwaybel34'(sK237)) | ~'l2$ualtcat$u1'('k5$uwaybel34'(sK237)) | ~'v12$ualtcat$u1'('k4$uwaybel34'(sK237)) | 'v3$ustruct$u0'('k4$uwaybel34'(sK237)) | 'v3$ustruct$u0'('k5$uwaybel34'(sK237)) | ~'Ts86'(sK237) | ~'Ts167'(sK237) | ~'Ts162'(sK237), inference(resolution, [status(thm)], [d8,c173])).
% 23.45/3.60 cnf(d10, plain, ~'l2$ualtcat$u1'('k4$uwaybel34'(sK237)) | ~'l2$ualtcat$u1'('k5$uwaybel34'(sK237)) | ~'v12$ualtcat$u1'('k4$uwaybel34'(sK237)) | 'v3$ustruct$u0'('k4$uwaybel34'(sK237)) | 'v3$ustruct$u0'('k5$uwaybel34'(sK237)) | ~'Ts86'(sK237) | ~'Ts167'(sK237), inference(resolution, [status(thm)], [d6,d9])).
% 23.45/3.60 cnf(d11, plain, ~'l2$ualtcat$u1'('k4$uwaybel34'(sK237)) | ~'l2$ualtcat$u1'('k5$uwaybel34'(sK237)) | 'v3$ustruct$u0'('k4$uwaybel34'(sK237)) | 'v3$ustruct$u0'('k5$uwaybel34'(sK237)) | ~'Ts86'(sK237) | ~'Ts167'(sK237) | ~'Ts86'(sK237), inference(resolution, [status(thm)], [d10,c103])).
% 23.45/3.60 cnf(d12, plain, ~'l2$ualtcat$u1'('k4$uwaybel34'(sK237)) | 'v3$ustruct$u0'('k4$uwaybel34'(sK237)) | 'v3$ustruct$u0'('k5$uwaybel34'(sK237)) | ~'Ts86'(sK237) | ~'Ts167'(sK237) | ~'Ts88'(sK237), inference(resolution, [status(thm)], [d11,c113])).
% 23.45/3.60 cnf(d13, plain, 'v3$ustruct$u0'('k4$uwaybel34'(sK237)) | 'v3$ustruct$u0'('k5$uwaybel34'(sK237)) | ~'Ts86'(sK237) | ~'Ts88'(sK237) | ~'Ts167'(sK237) | ~'Ts86'(sK237), inference(resolution, [status(thm)], [d12,c105])).
% 23.45/3.60 cnf(d14, plain, 'v3$ustruct$u0'('k4$uwaybel34'(sK237)) | ~'Ts86'(sK237) | ~'Ts88'(sK237) | ~'Ts167'(sK237) | ~'Ts88'(sK237), inference(resolution, [status(thm)], [d13,c107])).
% 23.45/3.60 cnf(d15, plain, ~'Ts86'(sK237) | ~'Ts88'(sK237) | ~'Ts167'(sK237) | ~'Ts86'(sK237), inference(resolution, [status(thm)], [d14,c99])).
% 23.45/3.60 cnf(d16, plain, ~'Ts86'(sK237) | ~'Ts88'(sK237) | 'v2$usetfam$u1'(sK237), inference(resolution, [status(thm)], [d15,c184])).
% 23.45/3.60 cnf(d17, plain, ~'Ts86'(sK237) | ~'Ts88'(sK237), inference(resolution, [status(thm)], [c272,d16])).
% 23.45/3.60 cnf(d18, plain, ~'Ts86'(sK237) | 'v1$uxboole$u0'(sK237), inference(resolution, [status(thm)], [d17,c106])).
% 23.45/3.60 cnf(d19, plain, 'v1$uxboole$u0'(sK237) | 'v1$uxboole$u0'(sK237), inference(resolution, [status(thm)], [d18,c98])).
% 23.45/3.60 cnf(d20, plain, 'v2$usetfam$u1'(sK237), inference(resolution, [status(thm)], [d19,c62])).
% 23.45/3.60 cnf(d21, plain, $false, inference(resolution, [status(thm)], [c272,d20])).
% 23.45/3.60 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------