%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PRO003+4 : 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 : n014.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 08:20:40 AM UTC 2026
% Result : Theorem 61.43s 8.29s
% Output : CNFRefutation 61.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO003+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n014.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sat Sep 26 04:54:48 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 61.43/8.29 % SZS status Theorem for theBenchmark.p
% 61.43/8.29 % SZS output start CNFRefutation for theBenchmark.p
% 61.43/8.29 fof(sos, axiom, ! [X0] : ! [X1] : ((('occurrence$uof'(X1,X0) & ~atomic(X0)) => ? [X2] : ((root(X2,X0) & 'subactivity$uoccurrence'(X2,X1)))))).
% 61.43/8.29 fof(sos_02, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('occurrence$uof'(X1,X0) & ('subactivity$uoccurrence'(X2,X1) & ('leaf$uocc'(X3,X1) & (arboreal(X2) & ~'min$uprecedes'(X2,X3,X0))))) => X3 = X2))).
% 61.43/8.29 fof(sos_06, axiom, ! [X0] : ! [X1] : ! [X2] : (('min$uprecedes'(X1,X2,X0) => ? [X3] : (('occurrence$uof'(X3,X0) & ('subactivity$uoccurrence'(X1,X3) & 'subactivity$uoccurrence'(X2,X3))))))).
% 61.43/8.29 fof(sos_08, axiom, ! [X0] : ! [X1] : ! [X2] : ((('occurrence$uof'(X0,X1) & 'occurrence$uof'(X0,X2)) => X1 = X2))).
% 61.43/8.29 fof(sos_16, axiom, ! [X0] : ! [X1] : (('occurrence$uof'(X0,X1) => (arboreal(X0) <=> atomic(X1))))).
% 61.43/8.29 fof(sos_19, axiom, ! [X0] : ! [X1] : (('root$uocc'(X0,X1) <=> ? [X2] : (('occurrence$uof'(X1,X2) & ('subactivity$uoccurrence'(X0,X1) & root(X0,X2))))))).
% 61.43/8.29 fof(sos_26, 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))))))).
% 61.43/8.29 fof(sos_29, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('occurrence$uof'(X2,X3) & ('root$uocc'(X0,X2) & 'root$uocc'(X1,X2))) => X0 = X1))).
% 61.43/8.29 fof(sos_32, axiom, ! [X0] : (('occurrence$uof'(X0,tptp0) => ? [X1] : ? [X2] : (('occurrence$uof'(X1,tptp4) & ('root$uocc'(X1,X0) & ('occurrence$uof'(X2,tptp3) & ('leaf$uocc'(X2,X0) & 'next$usubocc'(X1,X2,tptp0))))))))).
% 61.43/8.29 fof(sos_34, axiom, ~atomic(tptp0)).
% 61.43/8.29 fof(sos_38, axiom, atomic(tptp1)).
% 61.43/8.29 fof(sos_42, axiom, tptp1 != tptp3).
% 61.43/8.29 fof(sos_45, axiom, ! [X0] : ! [X1] : ((('occurrence$uof'(X1,tptp0) & 'root$uocc'(X0,X1)) => ? [X2] : (('occurrence$uof'(X2,tptp1) & 'next$usubocc'(X0,X2,tptp0)))))).
% 61.43/8.29 fof(goals, conjecture, ~? [X0] : 'occurrence$uof'(X0,tptp0)).
% 61.43/8.29 fof(negated_conjecture, negated_conjecture, ~~? [X0] : 'occurrence$uof'(X0,tptp0), inference(negate_conjecture, [status(cth)], [goals])).
% 61.43/8.29 cnf(c0, plain, atomic(X0) | ~'occurrence$uof'(X1,X0) | root(sK2(X0,X1),X0), inference(clausification, [status(esa)], [sos])).
% 61.43/8.29 cnf(c1, plain, atomic(X0) | ~'occurrence$uof'(X1,X0) | 'subactivity$uoccurrence'(sK2(X0,X1),X1), inference(clausification, [status(esa)], [sos])).
% 61.43/8.29 cnf(c3, plain, X0 = X1 | ~'leaf$uocc'(X1,X2) | ~arboreal(X0) | 'min$uprecedes'(X0,X1,X3) | ~'occurrence$uof'(X2,X3) | ~'subactivity$uoccurrence'(X0,X2), inference(clausification, [status(esa)], [sos_02])).
% 61.43/8.29 cnf(c9, plain, ~'min$uprecedes'(X0,X1,X2) | 'occurrence$uof'(sK24(X2,X0,X1),X2), inference(clausification, [status(esa)], [sos_06])).
% 61.43/8.29 cnf(c10, plain, ~'min$uprecedes'(X0,X1,X2) | 'subactivity$uoccurrence'(X1,sK24(X2,X0,X1)), inference(clausification, [status(esa)], [sos_06])).
% 61.43/8.29 cnf(c11, plain, ~'min$uprecedes'(X0,X1,X2) | 'subactivity$uoccurrence'(X0,sK24(X2,X0,X1)), inference(clausification, [status(esa)], [sos_06])).
% 61.43/8.29 cnf(c14, plain, ~'occurrence$uof'(X0,X1) | ~'occurrence$uof'(X0,X2) | X1 = X2, inference(clausification, [status(esa)], [sos_08])).
% 61.43/8.29 cnf(c31, plain, ~'occurrence$uof'(X0,X1) | arboreal(X0) | ~atomic(X1), inference(clausification, [status(esa)], [sos_16])).
% 61.43/8.29 cnf(c40, plain, 'root$uocc'(X0,X1) | ~'occurrence$uof'(X1,X2) | ~root(X0,X2) | ~'subactivity$uoccurrence'(X0,X1), inference(clausification, [status(esa)], [sos_19])).
% 61.43/8.29 cnf(c51, plain, ~'next$usubocc'(X0,X1,X2) | 'min$uprecedes'(X0,X1,X2), inference(clausification, [status(esa)], [sos_26])).
% 61.43/8.29 cnf(c52, plain, ~'next$usubocc'(X0,X1,X2) | ~'min$uprecedes'(X0,X3,X2) | ~'min$uprecedes'(X3,X1,X2), inference(clausification, [status(esa)], [sos_26])).
% 61.43/8.29 cnf(c57, plain, ~'root$uocc'(X0,X1) | ~'root$uocc'(X2,X1) | ~'occurrence$uof'(X1,X3) | X2 = X0, inference(clausification, [status(esa)], [sos_29])).
% 61.43/8.29 cnf(c60, plain, ~'occurrence$uof'(X0,tptp0) | X1(X0), inference(clausification, [status(esa)], [sos_32])).
% 61.43/8.29 cnf(c62, plain, ~X0(X1) | 'occurrence$uof'(sK110(X1),tptp3), inference(clausification, [status(esa)], [sos_32])).
% 61.43/8.29 cnf(c63, plain, ~X0(X1) | 'next$usubocc'(sK109(X1),sK110(X1),tptp0), inference(clausification, [status(esa)], [sos_32])).
% 61.43/8.29 cnf(c64, plain, ~X0(X1) | 'leaf$uocc'(sK110(X1),X1), inference(clausification, [status(esa)], [sos_32])).
% 61.43/8.29 cnf(c65, plain, ~X0(X1) | 'root$uocc'(sK109(X1),X1), inference(clausification, [status(esa)], [sos_32])).
% 61.43/8.29 cnf(c67, plain, ~atomic(tptp0), inference(clausification, [status(esa)], [sos_34])).
% 61.43/8.29 cnf(c71, plain, atomic(tptp1), inference(clausification, [status(esa)], [sos_38])).
% 61.43/8.29 cnf(c75, plain, tptp1 != tptp3, inference(clausification, [status(esa)], [sos_42])).
% 61.43/8.29 cnf(c78, plain, ~'root$uocc'(X0,X1) | ~'occurrence$uof'(X1,tptp0) | 'occurrence$uof'(sK113(X0),tptp1), inference(clausification, [status(esa)], [sos_45])).
% 61.43/8.29 cnf(c79, plain, ~'root$uocc'(X0,X1) | ~'occurrence$uof'(X1,tptp0) | 'next$usubocc'(X0,sK113(X0),tptp0), inference(clausification, [status(esa)], [sos_45])).
% 61.43/8.29 cnf(c80, plain, 'occurrence$uof'(sK114,tptp0), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.43/8.29 cnf(d0, plain, 'Ts107'(sK114), inference(resolution, [status(thm)], [c60,c80])).
% 61.43/8.29 cnf(d1, plain, 'root$uocc'(sK109(sK114),sK114), inference(resolution, [status(thm)], [c65,d0])).
% 61.43/8.29 cnf(d2, plain, ~'root$uocc'(X0,sK114) | 'next$usubocc'(X0,sK113(X0),tptp0), inference(resolution, [status(thm)], [c79,c80])).
% 61.43/8.29 cnf(d3, plain, 'next$usubocc'(sK109(sK114),sK113(sK109(sK114)),tptp0), inference(resolution, [status(thm)], [d2,d1])).
% 61.43/8.29 cnf(d4, plain, 'min$uprecedes'(sK109(sK114),sK113(sK109(sK114)),tptp0), inference(resolution, [status(thm)], [d3,c51])).
% 61.43/8.29 cnf(d5, plain, ~'min$uprecedes'(sK113(sK109(sK114)),X0,tptp0) | ~'next$usubocc'(sK109(sK114),X0,tptp0), inference(resolution, [status(thm)], [d4,c52])).
% 61.43/8.29 cnf(d6, plain, 'occurrence$uof'(sK113(X0),tptp1) | ~'root$uocc'(X0,sK114), inference(resolution, [status(thm)], [c78,c80])).
% 61.43/8.29 cnf(d7, plain, 'occurrence$uof'(sK113(sK109(sK114)),tptp1), inference(resolution, [status(thm)], [d6,d1])).
% 61.43/8.29 cnf(d8, plain, tptp1 = X0 | ~'occurrence$uof'(sK113(sK109(sK114)),X0), inference(resolution, [status(thm)], [d7,c14])).
% 61.43/8.29 cnf(d9, plain, 'occurrence$uof'(sK24(tptp0,sK109(sK114),sK113(sK109(sK114))),tptp0), inference(resolution, [status(thm)], [d4,c9])).
% 61.43/8.29 cnf(d10, plain, 'Ts107'(sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))), inference(resolution, [status(thm)], [d9,c60])).
% 61.43/8.29 cnf(d11, plain, 'occurrence$uof'(sK110(sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))),tptp3), inference(resolution, [status(thm)], [d10,c62])).
% 61.43/8.29 cnf(d12, plain, 'leaf$uocc'(sK110(sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))),sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))), inference(resolution, [status(thm)], [d10,c64])).
% 61.43/8.29 cnf(d13, plain, 'subactivity$uoccurrence'(sK113(sK109(sK114)),sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))), inference(resolution, [status(thm)], [d4,c10])).
% 61.43/8.29 cnf(d14, plain, X0 = X1 | ~'subactivity$uoccurrence'(X0,sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))) | ~'leaf$uocc'(X1,sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))) | 'min$uprecedes'(X0,X1,tptp0) | ~arboreal(X0), inference(resolution, [status(thm)], [d9,c3])).
% 61.43/8.29 cnf(d15, plain, sK113(sK109(sK114)) = X0 | ~'leaf$uocc'(X0,sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))) | 'min$uprecedes'(sK113(sK109(sK114)),X0,tptp0) | ~arboreal(sK113(sK109(sK114))), inference(resolution, [status(thm)], [d14,d13])).
% 61.43/8.29 cnf(d16, plain, ~atomic(tptp1) | arboreal(sK113(sK109(sK114))), inference(resolution, [status(thm)], [d7,c31])).
% 61.43/8.29 cnf(d17, plain, arboreal(sK113(sK109(sK114))), inference(resolution, [status(thm)], [c71,d16])).
% 61.43/8.29 cnf(d18, plain, sK113(sK109(sK114)) = X0 | ~'leaf$uocc'(X0,sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))) | 'min$uprecedes'(sK113(sK109(sK114)),X0,tptp0), inference(resolution, [status(thm)], [d17,d15])).
% 61.43/8.29 cnf(d19, plain, sK113(sK109(sK114)) = sK110(sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))) | 'min$uprecedes'(sK113(sK109(sK114)),sK110(sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))),tptp0), inference(resolution, [status(thm)], [d18,d12])).
% 61.43/8.29 cnf(d20, plain, 'occurrence$uof'(sK113(sK109(sK114)),tptp3) | 'min$uprecedes'(sK113(sK109(sK114)),sK110(sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))),tptp0), inference(superposition, [status(thm)], [d19,d11])).
% 61.43/8.29 cnf(d21, plain, 'min$uprecedes'(sK113(sK109(sK114)),sK110(sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))),tptp0) | tptp1 = tptp3, inference(resolution, [status(thm)], [d20,d8])).
% 61.43/8.29 cnf(d22, plain, 'min$uprecedes'(sK113(sK109(sK114)),sK110(sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))),tptp0), inference(resolution, [status(thm)], [c75,d21])).
% 61.43/8.29 cnf(d23, plain, ~'next$usubocc'(sK109(sK114),sK110(sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))),tptp0), inference(resolution, [status(thm)], [d22,d5])).
% 61.43/8.29 cnf(d24, plain, 'root$uocc'(sK109(sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))),sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))), inference(resolution, [status(thm)], [d10,c65])).
% 61.43/8.29 cnf(d25, plain, X0 = X1 | ~'root$uocc'(X1,sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))) | ~'root$uocc'(X0,sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))), inference(resolution, [status(thm)], [d9,c57])).
% 61.43/8.29 cnf(d26, plain, root(sK2(tptp0,sK114),tptp0) | atomic(tptp0), inference(resolution, [status(thm)], [c0,c80])).
% 61.43/8.29 cnf(d27, plain, root(sK2(tptp0,sK114),tptp0), inference(resolution, [status(thm)], [c67,d26])).
% 61.43/8.29 cnf(d28, plain, ~root(X0,tptp0) | ~'subactivity$uoccurrence'(X0,sK114) | 'root$uocc'(X0,sK114), inference(resolution, [status(thm)], [c40,c80])).
% 61.43/8.29 cnf(d29, plain, ~'subactivity$uoccurrence'(sK2(tptp0,sK114),sK114) | 'root$uocc'(sK2(tptp0,sK114),sK114), inference(resolution, [status(thm)], [d28,d27])).
% 61.43/8.29 cnf(d30, plain, atomic(tptp0) | 'subactivity$uoccurrence'(sK2(tptp0,sK114),sK114), inference(resolution, [status(thm)], [c1,c80])).
% 61.43/8.29 cnf(d31, plain, 'subactivity$uoccurrence'(sK2(tptp0,sK114),sK114), inference(resolution, [status(thm)], [c67,d30])).
% 61.43/8.29 cnf(d32, plain, 'root$uocc'(sK2(tptp0,sK114),sK114), inference(resolution, [status(thm)], [d31,d29])).
% 61.43/8.29 cnf(d33, plain, X0 = X1 | ~'root$uocc'(X1,sK114) | ~'root$uocc'(X0,sK114), inference(resolution, [status(thm)], [c57,c80])).
% 61.43/8.29 cnf(d34, plain, X0 = sK2(tptp0,sK114) | ~'root$uocc'(X0,sK114), inference(resolution, [status(thm)], [d33,d32])).
% 61.43/8.29 cnf(d35, plain, sK109(sK114) = sK2(tptp0,sK114), inference(resolution, [status(thm)], [d1,d34])).
% 61.43/8.29 cnf(d36, plain, root(sK109(sK114),tptp0), inference(demodulation, [status(thm)], [d27,d35])).
% 61.43/8.29 cnf(d37, plain, ~root(X0,tptp0) | ~'subactivity$uoccurrence'(X0,sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))) | 'root$uocc'(X0,sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))), inference(resolution, [status(thm)], [d9,c40])).
% 61.43/8.29 cnf(d38, plain, ~'subactivity$uoccurrence'(sK109(sK114),sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))) | 'root$uocc'(sK109(sK114),sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))), inference(resolution, [status(thm)], [d37,d36])).
% 61.43/8.29 cnf(d39, plain, 'subactivity$uoccurrence'(sK109(sK114),sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))), inference(resolution, [status(thm)], [d4,c11])).
% 61.43/8.29 cnf(d40, plain, 'root$uocc'(sK109(sK114),sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))), inference(resolution, [status(thm)], [d39,d38])).
% 61.43/8.29 cnf(d41, plain, X0 = sK109(sK114) | ~'root$uocc'(X0,sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))), inference(resolution, [status(thm)], [d40,d25])).
% 61.43/8.29 cnf(d42, plain, sK109(sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))) = sK109(sK114), inference(resolution, [status(thm)], [d41,d24])).
% 61.43/8.29 cnf(d43, plain, 'next$usubocc'(sK109(sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))),sK110(sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))),tptp0), inference(resolution, [status(thm)], [d10,c63])).
% 61.43/8.29 cnf(d44, plain, 'next$usubocc'(sK109(sK114),sK110(sK24(tptp0,sK109(sK114),sK113(sK109(sK114)))),tptp0), inference(demodulation, [status(thm)], [d43,d42])).
% 61.43/8.29 cnf(d45, plain, $false, inference(resolution, [status(thm)], [d44,d23])).
% 61.43/8.29 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------