%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN067+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 09:21:02 AM UTC 2026
% Result : Theorem 13.56s 2.38s
% Output : CNFRefutation 13.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN067+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.56 % Computer : n011.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Sat Sep 26 17:08:30 UTC 2026
% 0.09/0.56 % CPUTime :
% 0.09/0.56 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.56/2.38 % SZS status Theorem for theBenchmark.p
% 13.56/2.38 % SZS output start CNFRefutation for theBenchmark.p
% 13.56/2.38 fof(pel38, conjecture, (! [X0] : ((('big$up'(a) & ('big$up'(X0) => ? [X1] : (('big$up'(X1) & 'big$ur'(X0,X1))))) => ? [X2] : ? [X3] : (('big$up'(X2) & ('big$ur'(X0,X3) & 'big$ur'(X3,X2)))))) <=> ! [X4] : (((~'big$up'(a) | ('big$up'(X4) | ? [X5] : ? [X6] : (('big$up'(X5) & ('big$ur'(X4,X6) & 'big$ur'(X6,X5)))))) & (~'big$up'(a) | (~? [X7] : (('big$up'(X7) & 'big$ur'(X4,X7))) | ? [X8] : ? [X9] : (('big$up'(X8) & ('big$ur'(X4,X9) & 'big$ur'(X9,X8)))))))))).
% 13.56/2.38 fof(negated_conjecture, negated_conjecture, ~((! [X0] : ((('big$up'(a) & ('big$up'(X0) => ? [X1] : (('big$up'(X1) & 'big$ur'(X0,X1))))) => ? [X2] : ? [X3] : (('big$up'(X2) & ('big$ur'(X0,X3) & 'big$ur'(X3,X2)))))) <=> ! [X4] : (((~'big$up'(a) | ('big$up'(X4) | ? [X5] : ? [X6] : (('big$up'(X5) & ('big$ur'(X4,X6) & 'big$ur'(X6,X5)))))) & (~'big$up'(a) | (~? [X7] : (('big$up'(X7) & 'big$ur'(X4,X7))) | ? [X8] : ? [X9] : (('big$up'(X8) & ('big$ur'(X4,X9) & 'big$ur'(X9,X8)))))))))), inference(negate_conjecture, [status(cth)], [pel38])).
% 13.56/2.38 cnf(c1, plain, X0 | X1, inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c2, plain, ~X0 | ~X1, inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c4, plain, ~X0(X1) | 'big$up'(sK4(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c5, plain, ~X0(X1) | 'big$ur'(X1,sK5(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c6, plain, ~X0(X1) | 'big$ur'(sK5(X1),sK4(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c7, plain, X0(X1) | ~'big$up'(X2) | ~'big$ur'(X1,X3) | ~'big$ur'(X3,X2), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c8, plain, ~'big$up'(X0) | ~'big$ur'(X1,X0) | 'big$up'(sK9(X1)) | ~X2(X1) | ~'big$up'(a), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c9, plain, ~'big$up'(X0) | ~'big$ur'(X1,X0) | ~X2(X1) | ~'big$up'(a) | 'big$ur'(X1,sK10(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c10, plain, ~'big$up'(X0) | ~'big$ur'(X1,X0) | 'big$ur'(sK10(X1),sK9(X1)) | ~X2(X1) | ~'big$up'(a), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c11, plain, X0(X1) | 'big$up'(a), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c12, plain, X0(X1) | 'big$up'(sK11(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c13, plain, X0(X1) | 'big$ur'(X1,sK11(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c14, plain, X0(X1) | ~'big$up'(X2) | ~'big$ur'(X1,X3) | ~'big$ur'(X3,X2), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c15, plain, ~X0 | ~'big$up'(a) | 'big$up'(X1) | 'big$up'(sK15(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c16, plain, ~X0 | ~'big$up'(a) | 'big$up'(X1) | 'big$ur'(X1,sK16(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c17, plain, ~X0 | ~'big$up'(a) | 'big$up'(X1) | 'big$ur'(sK16(X1),sK15(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c18, plain, ~X0 | X1(X2), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c19, plain, X0 | 'big$up'(a) | ~X1(sK17), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c20, plain, X0 | ~'big$up'(sK17) | ~X1(sK17), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c21, plain, ~'big$ur'(X0,X1) | ~X2(sK17) | ~'big$up'(X1) | X3 | ~'big$ur'(sK17,X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c22, plain, ~X0 | ~'big$up'(a) | 'big$up'(X1) | X2(X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c23, plain, X0(X1) | ~'big$up'(a) | ~X2 | ~'big$up'(X3) | ~'big$ur'(X1,X3), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c24, plain, X0 | 'big$up'(a), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c25, plain, X0 | ~'big$up'(sK22) | 'big$up'(sK23), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c26, plain, X0 | ~'big$up'(sK22) | 'big$ur'(sK22,sK23), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(c27, plain, X0 | ~X1(sK22), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.56/2.38 cnf(d0, plain, 'Ts3' | ~'big$up'(sK22) | ~'big$up'(sK23) | ~'big$up'(a) | 'big$ur'(sK22,sK10(sK22)) | ~'Ts1'(sK22), inference(resolution, [status(thm)], [c26,c9])).
% 13.56/2.38 cnf(d1, plain, 'Ts3' | ~'big$up'(a) | ~'big$up'(sK22) | ~'big$up'(sK23) | ~'Ts1'(sK22) | 'Ts0'(sK22) | ~'big$up'(X0) | ~'big$ur'(sK10(sK22),X0), inference(resolution, [status(thm)], [d0,c7])).
% 13.56/2.38 cnf(d2, plain, ~'big$up'(sK4(X0)) | ~'big$ur'(X1,sK5(X0)) | 'Ts1'(X1) | ~'Ts0'(X0), inference(resolution, [status(thm)], [c14,c6])).
% 13.56/2.38 cnf(d3, plain, ~'Ts0'(X0) | ~'big$up'(sK4(X0)) | 'Ts1'(X0) | ~'Ts0'(X0), inference(resolution, [status(thm)], [d2,c5])).
% 13.56/2.38 cnf(d4, plain, ~'Ts0'(X0) | 'Ts1'(X0) | ~'Ts0'(X0), inference(resolution, [status(thm)], [d3,c4])).
% 13.56/2.38 cnf(d5, plain, 'Ts2' | 'big$up'(a) | 'big$up'(a), inference(resolution, [status(thm)], [c19,c11])).
% 13.56/2.38 cnf(d6, plain, ~'Ts3' | 'Ts0'(X0) | ~'big$up'(sK11(X0)) | ~'big$up'(a) | 'Ts1'(X0), inference(resolution, [status(thm)], [c23,c13])).
% 13.56/2.38 cnf(d7, plain, ~'Ts3' | 'Ts0'(X0) | ~'big$up'(a) | 'Ts1'(X0) | 'Ts1'(X0), inference(resolution, [status(thm)], [d6,c12])).
% 13.56/2.38 cnf(d8, plain, ~'Ts3' | 'Ts0'(X0) | 'Ts1'(X0) | 'Ts2', inference(resolution, [status(thm)], [d7,d5])).
% 13.56/2.38 cnf(d9, plain, ~'Ts3' | 'Ts2' | 'Ts1'(X0) | 'Ts1'(X0), inference(resolution, [status(thm)], [d8,d4])).
% 13.56/2.38 cnf(d10, plain, ~'Ts3' | 'Ts2' | 'Ts2' | ~'big$up'(sK17), inference(resolution, [status(thm)], [d9,c20])).
% 13.56/2.38 cnf(d11, plain, ~'Ts3' | 'Ts0'(X0) | 'big$up'(X0) | 'Ts2', inference(resolution, [status(thm)], [c22,d5])).
% 13.56/2.38 cnf(d12, plain, 'Ts2' | ~'big$up'(X0) | ~'big$ur'(sK5(sK17),X0) | ~'Ts1'(sK17) | ~'Ts0'(sK17), inference(resolution, [status(thm)], [c21,c5])).
% 13.56/2.38 cnf(d13, plain, 'Ts2' | ~'Ts0'(sK17) | ~'big$up'(sK4(sK17)) | ~'Ts1'(sK17) | ~'Ts0'(sK17), inference(resolution, [status(thm)], [d12,c6])).
% 13.56/2.38 cnf(d14, plain, 'Ts2' | ~'Ts0'(sK17) | ~'Ts1'(sK17) | ~'Ts0'(sK17), inference(resolution, [status(thm)], [d13,c4])).
% 13.56/2.38 cnf(d15, plain, 'Ts2' | ~'Ts0'(sK17) | ~'Ts3' | 'Ts2', inference(resolution, [status(thm)], [d14,d9])).
% 13.56/2.38 cnf(d16, plain, ~'Ts3' | 'Ts2' | ~'Ts3' | 'Ts2' | 'big$up'(sK17), inference(resolution, [status(thm)], [d15,d11])).
% 13.56/2.38 cnf(d17, plain, ~'Ts3' | 'Ts2' | ~'Ts3' | 'Ts2', inference(resolution, [status(thm)], [d16,d10])).
% 13.56/2.38 cnf(d18, plain, 'Ts2' | 'Ts2', inference(resolution, [status(thm)], [d17,c1])).
% 13.56/2.38 cnf(d19, plain, ~'Ts3', inference(resolution, [status(thm)], [d18,c2])).
% 13.56/2.38 cnf(d20, plain, 'Ts0'(sK22) | ~'big$up'(X0) | ~'big$up'(a) | ~'big$up'(sK22) | ~'big$up'(sK23) | ~'big$ur'(sK10(sK22),X0) | ~'Ts1'(sK22), inference(resolution, [status(thm)], [d19,d1])).
% 13.56/2.38 cnf(d21, plain, 'Ts1'(X0), inference(resolution, [status(thm)], [d18,c18])).
% 13.56/2.38 cnf(d22, plain, 'Ts0'(sK22) | ~'big$up'(X0) | ~'big$up'(a) | ~'big$up'(sK22) | ~'big$up'(sK23) | ~'big$ur'(sK10(sK22),X0), inference(resolution, [status(thm)], [d21,d20])).
% 13.56/2.38 cnf(d23, plain, 'big$up'(a), inference(resolution, [status(thm)], [d19,c24])).
% 13.56/2.38 cnf(d24, plain, 'Ts0'(sK22) | ~'big$up'(X0) | ~'big$up'(sK22) | ~'big$up'(sK23) | ~'big$ur'(sK10(sK22),X0), inference(resolution, [status(thm)], [d23,d22])).
% 13.56/2.38 cnf(d25, plain, ~'Ts0'(sK22), inference(resolution, [status(thm)], [d19,c27])).
% 13.56/2.38 cnf(d26, plain, ~'big$up'(X0) | ~'big$up'(sK22) | ~'big$up'(sK23) | ~'big$ur'(sK10(sK22),X0), inference(resolution, [status(thm)], [d25,d24])).
% 13.56/2.38 cnf(d27, plain, ~'Ts2' | 'big$up'(X0) | ~'big$up'(a) | 'Ts0'(X0) | ~'big$up'(X1) | ~'big$ur'(sK16(X0),X1), inference(resolution, [status(thm)], [c16,c7])).
% 13.56/2.38 cnf(d28, plain, ~'Ts2' | 'Ts0'(X0) | ~'big$up'(sK15(X0)) | 'big$up'(X0) | ~'big$up'(a) | ~'Ts2' | 'big$up'(X0) | ~'big$up'(a), inference(resolution, [status(thm)], [d27,c17])).
% 13.56/2.38 cnf(d29, plain, ~'Ts2' | 'Ts0'(X0) | 'big$up'(X0) | ~'big$up'(a) | ~'Ts2' | 'big$up'(X0) | ~'big$up'(a), inference(resolution, [status(thm)], [d28,c15])).
% 13.56/2.38 cnf(d30, plain, ~'Ts2' | 'Ts0'(X0) | 'big$up'(X0) | 'Ts3', inference(resolution, [status(thm)], [d29,c24])).
% 13.56/2.38 cnf(d31, plain, 'Ts3' | ~'Ts2' | 'big$up'(sK22) | 'Ts3', inference(resolution, [status(thm)], [d30,c27])).
% 13.56/2.38 cnf(d32, plain, 'Ts3' | 'big$up'(sK22), inference(resolution, [status(thm)], [d18,d31])).
% 13.56/2.38 cnf(d33, plain, 'big$up'(sK22), inference(resolution, [status(thm)], [d19,d32])).
% 13.56/2.38 cnf(d34, plain, ~'big$up'(X0) | ~'big$up'(sK23) | ~'big$ur'(sK10(sK22),X0), inference(resolution, [status(thm)], [d33,d26])).
% 13.56/2.38 cnf(d35, plain, 'Ts3' | ~'Ts2' | 'Ts3' | 'big$up'(sK23), inference(resolution, [status(thm)], [d31,c25])).
% 13.56/2.38 cnf(d36, plain, 'Ts3' | 'big$up'(sK23), inference(resolution, [status(thm)], [d18,d35])).
% 13.56/2.38 cnf(d37, plain, 'big$up'(sK23), inference(resolution, [status(thm)], [d19,d36])).
% 13.56/2.38 cnf(d38, plain, ~'big$up'(X0) | ~'big$ur'(sK10(sK22),X0), inference(resolution, [status(thm)], [d37,d34])).
% 13.56/2.38 cnf(d39, plain, ~'big$up'(sK22) | 'big$ur'(sK22,sK23), inference(resolution, [status(thm)], [d19,c26])).
% 13.56/2.38 cnf(d40, plain, 'big$ur'(sK22,sK23), inference(resolution, [status(thm)], [d33,d39])).
% 13.56/2.38 cnf(d41, plain, ~'big$up'(X0) | ~'big$up'(a) | ~'big$ur'(X1,X0) | 'big$ur'(sK10(X1),sK9(X1)), inference(resolution, [status(thm)], [d21,c10])).
% 13.56/2.38 cnf(d42, plain, ~'big$up'(X0) | ~'big$ur'(X1,X0) | 'big$ur'(sK10(X1),sK9(X1)), inference(resolution, [status(thm)], [d23,d41])).
% 13.56/2.38 cnf(d43, plain, ~'big$up'(sK23) | 'big$ur'(sK10(sK22),sK9(sK22)), inference(resolution, [status(thm)], [d42,d40])).
% 13.56/2.38 cnf(d44, plain, 'big$ur'(sK10(sK22),sK9(sK22)), inference(resolution, [status(thm)], [d37,d43])).
% 13.56/2.38 cnf(d45, plain, ~'big$up'(sK9(sK22)), inference(resolution, [status(thm)], [d44,d38])).
% 13.56/2.38 cnf(d46, plain, ~'big$up'(X0) | ~'big$up'(a) | 'big$up'(sK9(X1)) | ~'big$ur'(X1,X0), inference(resolution, [status(thm)], [d21,c8])).
% 13.56/2.38 cnf(d47, plain, ~'big$up'(X0) | 'big$up'(sK9(X1)) | ~'big$ur'(X1,X0), inference(resolution, [status(thm)], [d23,d46])).
% 13.56/2.38 cnf(d48, plain, ~'big$up'(sK23) | 'big$up'(sK9(sK22)), inference(resolution, [status(thm)], [d47,d40])).
% 13.56/2.38 cnf(d49, plain, 'big$up'(sK9(sK22)), inference(resolution, [status(thm)], [d37,d48])).
% 13.56/2.38 cnf(d50, plain, $false, inference(resolution, [status(thm)], [d49,d45])).
% 13.56/2.38 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------