%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PRO018+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 08:20:45 AM UTC 2026
% Result : Theorem 136.04s 27.25s
% Output : CNFRefutation 136.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO018+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 05:01:03 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 136.04/27.25 % SZS status Theorem for theBenchmark.p
% 136.04/27.25 % SZS output start CNFRefutation for theBenchmark.p
% 136.04/27.25 fof(sos_04, axiom, ! [X0] : ! [X1] : ! [X2] : (('next$usubocc'(X0,X1,X2) <=> ('min$uprecedes'(X0,X1,X2) & ~? [X3] : (('min$uprecedes'(X0,X3,X2) & 'min$uprecedes'(X3,X1,X2))))))).
% 136.04/27.25 fof(sos_05, axiom, ! [X0] : ! [X1] : ! [X2] : (('next$usubocc'(X0,X1,X2) => (arboreal(X0) & arboreal(X1))))).
% 136.04/27.25 fof(sos_21, axiom, ! [X0] : ! [X1] : ! [X2] : ((('occurrence$uof'(X0,X2) & 'leaf$uocc'(X1,X0)) => ~? [X3] : 'min$uprecedes'(X1,X3,X2)))).
% 136.04/27.25 fof(sos_22, axiom, ! [X0] : ! [X1] : ! [X2] : ((('occurrence$uof'(X0,X1) & 'occurrence$uof'(X0,X2)) => X1 = X2))).
% 136.04/27.25 fof(sos_24, axiom, ! [X0] : ! [X1] : ! [X2] : (('min$uprecedes'(X1,X2,X0) => ? [X3] : (('occurrence$uof'(X3,X0) & ('subactivity$uoccurrence'(X1,X3) & 'subactivity$uoccurrence'(X2,X3))))))).
% 136.04/27.25 fof(sos_32, axiom, ! [X0] : ! [X1] : ((('occurrence$uof'(X1,tptp0) & ('subactivity$uoccurrence'(X0,X1) & (arboreal(X0) & ~'leaf$uocc'(X0,X1)))) => ? [X2] : ? [X3] : ? [X4] : (('occurrence$uof'(X2,tptp3) & ('next$usubocc'(X0,X2,tptp0) & ('occurrence$uof'(X3,tptp4) & ('min$uprecedes'(X2,X3,tptp0) & (('occurrence$uof'(X4,tptp1) | 'occurrence$uof'(X4,tptp2)) & ('min$uprecedes'(X3,X4,tptp0) & ! [X5] : (('min$uprecedes'(X2,X5,tptp0) => (X5 = X3 | X5 = X4))))))))))))).
% 136.04/27.25 fof(sos_39, axiom, tptp4 != tptp3).
% 136.04/27.25 fof(sos_42, axiom, tptp3 != tptp1).
% 136.04/27.25 fof(sos_43, axiom, tptp3 != tptp2).
% 136.04/27.25 fof(goals, conjecture, ! [X0] : ! [X1] : ((('occurrence$uof'(X1,tptp0) & ('subactivity$uoccurrence'(X0,X1) & (arboreal(X0) & ~'leaf$uocc'(X0,X1)))) => ? [X2] : ? [X3] : (('occurrence$uof'(X2,tptp3) & ('next$usubocc'(X0,X2,tptp0) & (('occurrence$uof'(X3,tptp1) | 'occurrence$uof'(X3,tptp2)) & ('min$uprecedes'(X2,X3,tptp0) & ('leaf$uocc'(X3,X1) & (('occurrence$uof'(X3,tptp1) => ~? [X4] : (('occurrence$uof'(X4,tptp2) & 'min$uprecedes'(X2,X4,tptp0)))) & ('occurrence$uof'(X3,tptp2) => ~? [X5] : (('occurrence$uof'(X5,tptp1) & 'min$uprecedes'(X2,X5,tptp0)))))))))))))).
% 136.04/27.25 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((('occurrence$uof'(X1,tptp0) & ('subactivity$uoccurrence'(X0,X1) & (arboreal(X0) & ~'leaf$uocc'(X0,X1)))) => ? [X2] : ? [X3] : (('occurrence$uof'(X2,tptp3) & ('next$usubocc'(X0,X2,tptp0) & (('occurrence$uof'(X3,tptp1) | 'occurrence$uof'(X3,tptp2)) & ('min$uprecedes'(X2,X3,tptp0) & ('leaf$uocc'(X3,X1) & (('occurrence$uof'(X3,tptp1) => ~? [X4] : (('occurrence$uof'(X4,tptp2) & 'min$uprecedes'(X2,X4,tptp0)))) & ('occurrence$uof'(X3,tptp2) => ~? [X5] : (('occurrence$uof'(X5,tptp1) & 'min$uprecedes'(X2,X5,tptp0))))))))))))), inference(negate_conjecture, [status(cth)], [goals])).
% 136.04/27.25 cnf(c4, plain, ~'next$usubocc'(X0,X1,X2) | 'min$uprecedes'(X0,X1,X2), inference(clausification, [status(esa)], [sos_04])).
% 136.04/27.25 cnf(c9, plain, ~'next$usubocc'(X0,X1,X2) | arboreal(X1), inference(clausification, [status(esa)], [sos_05])).
% 136.04/27.25 cnf(c42, plain, ~'leaf$uocc'(X0,X1) | ~'occurrence$uof'(X1,X2) | ~'min$uprecedes'(X0,X3,X2), inference(clausification, [status(esa)], [sos_21])).
% 136.04/27.25 cnf(c43, plain, ~'occurrence$uof'(X0,X1) | ~'occurrence$uof'(X0,X2) | X1 = X2, inference(clausification, [status(esa)], [sos_22])).
% 136.04/27.25 cnf(c46, plain, ~'min$uprecedes'(X0,X1,X2) | 'occurrence$uof'(sK79(X2,X0,X1),X2), inference(clausification, [status(esa)], [sos_24])).
% 136.04/27.25 cnf(c47, plain, ~'min$uprecedes'(X0,X1,X2) | 'subactivity$uoccurrence'(X1,sK79(X2,X0,X1)), inference(clausification, [status(esa)], [sos_24])).
% 136.04/27.25 cnf(c63, plain, ~'occurrence$uof'(X0,tptp0) | X1(X2) | ~arboreal(X2) | 'leaf$uocc'(X2,X0) | ~'subactivity$uoccurrence'(X2,X0), inference(clausification, [status(esa)], [sos_32])).
% 136.04/27.25 cnf(c64, plain, ~X0(X1) | 'occurrence$uof'(sK104(X1),tptp3), inference(clausification, [status(esa)], [sos_32])).
% 136.04/27.25 cnf(c65, plain, ~X0(X1) | 'occurrence$uof'(sK105(X1),tptp4), inference(clausification, [status(esa)], [sos_32])).
% 136.04/27.25 cnf(c66, plain, ~X0(X1) | 'occurrence$uof'(sK106(X1),tptp1) | 'occurrence$uof'(sK106(X1),tptp2), inference(clausification, [status(esa)], [sos_32])).
% 136.04/27.25 cnf(c67, plain, ~X0(X1) | ~'min$uprecedes'(sK104(X1),X2,tptp0) | sK106(X1) = X2 | sK105(X1) = X2, inference(clausification, [status(esa)], [sos_32])).
% 136.04/27.25 cnf(c69, plain, ~X0(X1) | 'min$uprecedes'(sK104(X1),sK105(X1),tptp0), inference(clausification, [status(esa)], [sos_32])).
% 136.04/27.25 cnf(c70, plain, ~X0(X1) | 'next$usubocc'(X1,sK104(X1),tptp0), inference(clausification, [status(esa)], [sos_32])).
% 136.04/27.25 cnf(c77, plain, tptp4 != tptp3, inference(clausification, [status(esa)], [sos_39])).
% 136.04/27.25 cnf(c80, plain, tptp1 != tptp3, inference(clausification, [status(esa)], [sos_42])).
% 136.04/27.25 cnf(c81, plain, tptp2 != tptp3, inference(clausification, [status(esa)], [sos_43])).
% 136.04/27.25 cnf(c83, plain, 'subactivity$uoccurrence'(sK110,sK111), inference(clausification, [status(esa)], [negated_conjecture])).
% 136.04/27.25 cnf(c84, plain, ~'leaf$uocc'(sK110,sK111), inference(clausification, [status(esa)], [negated_conjecture])).
% 136.04/27.25 cnf(c85, plain, arboreal(sK110), inference(clausification, [status(esa)], [negated_conjecture])).
% 136.04/27.25 cnf(c86, plain, 'occurrence$uof'(sK111,tptp0), inference(clausification, [status(esa)], [negated_conjecture])).
% 136.04/27.25 cnf(d0, plain, 'leaf$uocc'(X0,sK111) | ~arboreal(X0) | ~'subactivity$uoccurrence'(X0,sK111) | 'Ts101'(X0), inference(resolution, [status(thm)], [c63,c86])).
% 136.04/27.25 cnf(d1, plain, 'leaf$uocc'(sK110,sK111) | ~'subactivity$uoccurrence'(sK110,sK111) | 'Ts101'(sK110), inference(resolution, [status(thm)], [d0,c85])).
% 136.04/27.25 cnf(d2, plain, 'leaf$uocc'(sK110,sK111) | 'Ts101'(sK110), inference(resolution, [status(thm)], [c83,d1])).
% 136.04/27.25 cnf(d3, plain, 'Ts101'(sK110), inference(resolution, [status(thm)], [c84,d2])).
% 136.04/27.25 cnf(d4, plain, 'occurrence$uof'(sK106(sK110),tptp1) | 'occurrence$uof'(sK106(sK110),tptp2), inference(resolution, [status(thm)], [d3,c66])).
% 136.04/27.25 cnf(d5, plain, 'occurrence$uof'(sK106(sK110),tptp2) | tptp1 = X0 | ~'occurrence$uof'(sK106(sK110),X0), inference(resolution, [status(thm)], [d4,c43])).
% 136.04/27.25 cnf(d6, plain, 'occurrence$uof'(sK105(sK110),tptp4), inference(resolution, [status(thm)], [d3,c65])).
% 136.04/27.25 cnf(d7, plain, tptp4 = X0 | ~'occurrence$uof'(sK105(sK110),X0), inference(resolution, [status(thm)], [d6,c43])).
% 136.04/27.25 cnf(d8, plain, 'next$usubocc'(sK110,sK104(sK110),tptp0), inference(resolution, [status(thm)], [d3,c70])).
% 136.04/27.25 cnf(d9, plain, arboreal(sK104(sK110)), inference(resolution, [status(thm)], [d8,c9])).
% 136.04/27.25 cnf(d10, plain, 'min$uprecedes'(sK110,sK104(sK110),tptp0), inference(resolution, [status(thm)], [d8,c4])).
% 136.04/27.25 cnf(d11, plain, 'occurrence$uof'(sK79(tptp0,sK110,sK104(sK110)),tptp0), inference(resolution, [status(thm)], [d10,c46])).
% 136.04/27.25 cnf(d12, plain, 'leaf$uocc'(X0,sK79(tptp0,sK110,sK104(sK110))) | ~arboreal(X0) | ~'subactivity$uoccurrence'(X0,sK79(tptp0,sK110,sK104(sK110))) | 'Ts101'(X0), inference(resolution, [status(thm)], [d11,c63])).
% 136.04/27.25 cnf(d13, plain, 'leaf$uocc'(sK104(sK110),sK79(tptp0,sK110,sK104(sK110))) | ~'subactivity$uoccurrence'(sK104(sK110),sK79(tptp0,sK110,sK104(sK110))) | 'Ts101'(sK104(sK110)), inference(resolution, [status(thm)], [d12,d9])).
% 136.04/27.25 cnf(d14, plain, 'subactivity$uoccurrence'(sK104(sK110),sK79(tptp0,sK110,sK104(sK110))), inference(resolution, [status(thm)], [d10,c47])).
% 136.04/27.25 cnf(d15, plain, 'leaf$uocc'(sK104(sK110),sK79(tptp0,sK110,sK104(sK110))) | 'Ts101'(sK104(sK110)), inference(resolution, [status(thm)], [d14,d13])).
% 136.04/27.25 cnf(d16, plain, 'min$uprecedes'(sK104(sK110),sK105(sK110),tptp0), inference(resolution, [status(thm)], [d3,c69])).
% 136.04/27.25 cnf(d17, plain, ~'occurrence$uof'(X0,tptp0) | ~'leaf$uocc'(sK104(sK110),X0), inference(resolution, [status(thm)], [d16,c42])).
% 136.04/27.25 cnf(d18, plain, ~'leaf$uocc'(sK104(sK110),sK79(tptp0,sK110,sK104(sK110))), inference(resolution, [status(thm)], [d17,d11])).
% 136.04/27.25 cnf(d19, plain, 'Ts101'(sK104(sK110)), inference(resolution, [status(thm)], [d18,d15])).
% 136.04/27.25 cnf(d20, plain, 'occurrence$uof'(sK104(sK104(sK110)),tptp3), inference(resolution, [status(thm)], [d19,c64])).
% 136.04/27.25 cnf(d21, plain, 'next$usubocc'(sK104(sK110),sK104(sK104(sK110)),tptp0), inference(resolution, [status(thm)], [d19,c70])).
% 136.04/27.25 cnf(d22, plain, 'min$uprecedes'(sK104(sK110),sK104(sK104(sK110)),tptp0), inference(resolution, [status(thm)], [d21,c4])).
% 136.04/27.25 cnf(d23, plain, sK105(sK110) = sK104(sK104(sK110)) | sK106(sK110) = sK104(sK104(sK110)) | ~'Ts101'(sK110), inference(resolution, [status(thm)], [d22,c67])).
% 136.04/27.25 cnf(d24, plain, sK105(sK110) = sK104(sK104(sK110)) | sK106(sK110) = sK104(sK104(sK110)), inference(resolution, [status(thm)], [d3,d23])).
% 136.04/27.25 cnf(d25, plain, 'occurrence$uof'(sK105(sK110),tptp3) | sK106(sK110) = sK104(sK104(sK110)), inference(superposition, [status(thm)], [d24,d20])).
% 136.04/27.25 cnf(d26, plain, 'occurrence$uof'(sK106(sK110),tptp3) | 'occurrence$uof'(sK105(sK110),tptp3), inference(superposition, [status(thm)], [d25,d20])).
% 136.04/27.25 cnf(d27, plain, 'occurrence$uof'(sK106(sK110),tptp3) | tptp4 = tptp3, inference(resolution, [status(thm)], [d26,d7])).
% 136.04/27.25 cnf(d28, plain, 'occurrence$uof'(sK106(sK110),tptp3), inference(resolution, [status(thm)], [c77,d27])).
% 136.04/27.25 cnf(d29, plain, tptp1 = tptp3 | 'occurrence$uof'(sK106(sK110),tptp2), inference(resolution, [status(thm)], [d28,d5])).
% 136.04/27.25 cnf(d30, plain, 'occurrence$uof'(sK106(sK110),tptp2), inference(resolution, [status(thm)], [c80,d29])).
% 136.04/27.25 cnf(d31, plain, tptp3 = X0 | ~'occurrence$uof'(sK106(sK110),X0), inference(resolution, [status(thm)], [d28,c43])).
% 136.04/27.25 cnf(d32, plain, tptp3 = tptp2, inference(resolution, [status(thm)], [d31,d30])).
% 136.04/27.25 cnf(d33, plain, tptp2 != tptp2, inference(demodulation, [status(thm)], [c81,d32])).
% 136.04/27.25 cnf(d34, plain, $false, inference(equality_resolution, [status(thm)], [d33])).
% 136.04/27.25 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------