%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PRO012+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 : 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 08:20:43 AM UTC 2026
% Result : Theorem 37.50s 10.91s
% Output : CNFRefutation 37.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO012+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n011.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Sat Sep 26 04:59:04 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.50/10.91 % SZS status Theorem for theBenchmark.p
% 37.50/10.91 % SZS output start CNFRefutation for theBenchmark.p
% 37.50/10.91 fof(sos, axiom, ! [X0] : ! [X1] : ((('occurrence$uof'(X1,X0) & ~atomic(X0)) => ? [X2] : ((root(X2,X0) & 'subactivity$uoccurrence'(X2,X1)))))).
% 37.50/10.91 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))))))).
% 37.50/10.91 fof(sos_19, axiom, ! [X0] : ! [X1] : (('root$uocc'(X0,X1) <=> ? [X2] : (('occurrence$uof'(X1,X2) & ('subactivity$uoccurrence'(X0,X1) & root(X0,X2))))))).
% 37.50/10.91 fof(sos_23, axiom, ! [X0] : ! [X1] : ! [X2] : (('min$uprecedes'(X0,X1,X2) => ? [X3] : ((root(X3,X2) & 'min$uprecedes'(X3,X1,X2)))))).
% 37.50/10.91 fof(sos_26, axiom, ! [X0] : ! [X1] : ! [X2] : (('next$usubocc'(X0,X1,X2) <=> ('min$uprecedes'(X0,X1,X2) & ~? [X3] : (('min$uprecedes'(X0,X3,X2) & 'min$uprecedes'(X3,X1,X2))))))).
% 37.50/10.91 fof(sos_27, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('min$uprecedes'(X0,X1,X2) & ('occurrence$uof'(X3,X2) & 'subactivity$uoccurrence'(X1,X3))) => 'subactivity$uoccurrence'(X0,X3)))).
% 37.50/10.91 fof(sos_29, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('occurrence$uof'(X2,X3) & ('root$uocc'(X0,X2) & 'root$uocc'(X1,X2))) => X0 = X1))).
% 37.50/10.91 fof(sos_32, axiom, ! [X0] : (('occurrence$uof'(X0,tptp0) => ? [X1] : ? [X2] : ? [X3] : (('occurrence$uof'(X1,tptp3) & ('root$uocc'(X1,X0) & ('occurrence$uof'(X2,tptp4) & ('min$uprecedes'(X1,X2,tptp0) & (('occurrence$uof'(X3,tptp2) | 'occurrence$uof'(X3,tptp1)) & ('min$uprecedes'(X2,X3,tptp0) & ! [X4] : (('min$uprecedes'(X1,X4,tptp0) => (X4 = X2 | X4 = X3))))))))))))).
% 37.50/10.91 fof(sos_34, axiom, ~atomic(tptp0)).
% 37.50/10.91 fof(goals, conjecture, ! [X0] : (('occurrence$uof'(X0,tptp0) => ? [X1] : ? [X2] : (('occurrence$uof'(X1,tptp3) & ('root$uocc'(X1,X0) & (('occurrence$uof'(X2,tptp2) | 'occurrence$uof'(X2,tptp1)) & 'min$uprecedes'(X1,X2,tptp0)))))))).
% 37.50/10.91 fof(negated_conjecture, negated_conjecture, ~! [X0] : (('occurrence$uof'(X0,tptp0) => ? [X1] : ? [X2] : (('occurrence$uof'(X1,tptp3) & ('root$uocc'(X1,X0) & (('occurrence$uof'(X2,tptp2) | 'occurrence$uof'(X2,tptp1)) & 'min$uprecedes'(X1,X2,tptp0))))))), inference(negate_conjecture, [status(cth)], [goals])).
% 37.50/10.91 cnf(c0, plain, atomic(X0) | ~'occurrence$uof'(X1,X0) | root(sK2(X0,X1),X0), inference(clausification, [status(esa)], [sos])).
% 37.50/10.91 cnf(c1, plain, atomic(X0) | ~'occurrence$uof'(X1,X0) | 'subactivity$uoccurrence'(sK2(X0,X1),X1), inference(clausification, [status(esa)], [sos])).
% 37.50/10.91 cnf(c9, plain, ~'min$uprecedes'(X0,X1,X2) | 'occurrence$uof'(sK24(X2,X0,X1),X2), inference(clausification, [status(esa)], [sos_06])).
% 37.50/10.91 cnf(c10, plain, ~'min$uprecedes'(X0,X1,X2) | 'subactivity$uoccurrence'(X1,sK24(X2,X0,X1)), inference(clausification, [status(esa)], [sos_06])).
% 37.50/10.91 cnf(c11, plain, ~'min$uprecedes'(X0,X1,X2) | 'subactivity$uoccurrence'(X0,sK24(X2,X0,X1)), inference(clausification, [status(esa)], [sos_06])).
% 37.50/10.91 cnf(c40, plain, 'root$uocc'(X0,X1) | ~'occurrence$uof'(X1,X2) | ~root(X0,X2) | ~'subactivity$uoccurrence'(X0,X1), inference(clausification, [status(esa)], [sos_19])).
% 37.50/10.91 cnf(c46, plain, ~'min$uprecedes'(X0,X1,X2) | root(sK76(X1,X2),X2), inference(clausification, [status(esa)], [sos_23])).
% 37.50/10.91 cnf(c47, plain, ~'min$uprecedes'(X0,X1,X2) | 'min$uprecedes'(sK76(X1,X2),X1,X2), inference(clausification, [status(esa)], [sos_23])).
% 37.50/10.91 cnf(c52, plain, ~'next$usubocc'(X0,X1,X2) | ~'min$uprecedes'(X0,X3,X2) | ~'min$uprecedes'(X3,X1,X2), inference(clausification, [status(esa)], [sos_26])).
% 37.50/10.91 cnf(c54, plain, 'next$usubocc'(X0,X1,X2) | 'min$uprecedes'(sK87(X0,X1,X2),X1,X2) | ~'min$uprecedes'(X0,X1,X2), inference(clausification, [status(esa)], [sos_26])).
% 37.50/10.91 cnf(c55, plain, ~'occurrence$uof'(X0,X1) | ~'subactivity$uoccurrence'(X2,X0) | ~'min$uprecedes'(X3,X2,X1) | 'subactivity$uoccurrence'(X3,X0), inference(clausification, [status(esa)], [sos_27])).
% 37.50/10.91 cnf(c57, plain, ~'root$uocc'(X0,X1) | ~'root$uocc'(X2,X1) | ~'occurrence$uof'(X1,X3) | X2 = X0, inference(clausification, [status(esa)], [sos_29])).
% 37.50/10.91 cnf(c60, plain, ~'occurrence$uof'(X0,tptp0) | X1(X0), inference(clausification, [status(esa)], [sos_32])).
% 37.50/10.91 cnf(c61, plain, ~X0(X1) | 'occurrence$uof'(sK109(X1),tptp3), inference(clausification, [status(esa)], [sos_32])).
% 37.50/10.91 cnf(c63, plain, ~X0(X1) | 'occurrence$uof'(sK111(X1),tptp2) | 'occurrence$uof'(sK111(X1),tptp1), inference(clausification, [status(esa)], [sos_32])).
% 37.50/10.91 cnf(c65, plain, ~X0(X1) | 'min$uprecedes'(sK110(X1),sK111(X1),tptp0), inference(clausification, [status(esa)], [sos_32])).
% 37.50/10.91 cnf(c66, plain, ~X0(X1) | 'min$uprecedes'(sK109(X1),sK110(X1),tptp0), inference(clausification, [status(esa)], [sos_32])).
% 37.50/10.91 cnf(c67, plain, ~X0(X1) | 'root$uocc'(sK109(X1),X1), inference(clausification, [status(esa)], [sos_32])).
% 37.50/10.91 cnf(c69, plain, ~atomic(tptp0), inference(clausification, [status(esa)], [sos_34])).
% 37.50/10.91 cnf(c80, plain, 'occurrence$uof'(sK113,tptp0), inference(clausification, [status(esa)], [negated_conjecture])).
% 37.50/10.91 cnf(c81, plain, ~'occurrence$uof'(X0,tptp3) | ~'occurrence$uof'(X1,tptp2) | ~'min$uprecedes'(X0,X1,tptp0) | ~'root$uocc'(X0,sK113), inference(clausification, [status(esa)], [negated_conjecture])).
% 37.50/10.91 cnf(c82, plain, ~'occurrence$uof'(X0,tptp3) | ~'occurrence$uof'(X1,tptp1) | ~'min$uprecedes'(X0,X1,tptp0) | ~'root$uocc'(X0,sK113), inference(clausification, [status(esa)], [negated_conjecture])).
% 37.50/10.91 cnf(d0, plain, 'Ts107'(sK113), inference(resolution, [status(thm)], [c60,c80])).
% 37.50/10.91 cnf(d1, plain, 'occurrence$uof'(sK109(sK113),tptp3), inference(resolution, [status(thm)], [c61,d0])).
% 37.50/10.91 cnf(d2, plain, 'occurrence$uof'(sK111(sK113),tptp2) | 'occurrence$uof'(sK111(sK113),tptp1), inference(resolution, [status(thm)], [c63,d0])).
% 37.50/10.91 cnf(d3, plain, 'occurrence$uof'(sK111(sK113),tptp1) | ~'occurrence$uof'(X0,tptp3) | ~'min$uprecedes'(X0,sK111(sK113),tptp0) | ~'root$uocc'(X0,sK113), inference(resolution, [status(thm)], [d2,c81])).
% 37.50/10.91 cnf(d4, plain, 'occurrence$uof'(sK111(sK113),tptp1) | ~'min$uprecedes'(sK109(sK113),sK111(sK113),tptp0) | ~'root$uocc'(sK109(sK113),sK113), inference(resolution, [status(thm)], [d3,d1])).
% 37.50/10.91 cnf(d5, plain, 'root$uocc'(sK109(sK113),sK113), inference(resolution, [status(thm)], [c67,d0])).
% 37.50/10.91 cnf(d6, plain, 'occurrence$uof'(sK111(sK113),tptp1) | ~'min$uprecedes'(sK109(sK113),sK111(sK113),tptp0), inference(resolution, [status(thm)], [d5,d4])).
% 37.50/10.91 cnf(d7, plain, 'min$uprecedes'(sK110(sK113),sK111(sK113),tptp0), inference(resolution, [status(thm)], [c65,d0])).
% 37.50/10.91 cnf(d8, plain, root(sK76(sK111(sK113),tptp0),tptp0), inference(resolution, [status(thm)], [d7,c46])).
% 37.50/10.91 cnf(d9, plain, 'occurrence$uof'(sK24(tptp0,sK110(sK113),sK111(sK113)),tptp0), inference(resolution, [status(thm)], [d7,c9])).
% 37.50/10.91 cnf(d10, plain, ~root(X0,tptp0) | ~'subactivity$uoccurrence'(X0,sK24(tptp0,sK110(sK113),sK111(sK113))) | 'root$uocc'(X0,sK24(tptp0,sK110(sK113),sK111(sK113))), inference(resolution, [status(thm)], [d9,c40])).
% 37.50/10.91 cnf(d11, plain, ~'subactivity$uoccurrence'(sK76(sK111(sK113),tptp0),sK24(tptp0,sK110(sK113),sK111(sK113))) | 'root$uocc'(sK76(sK111(sK113),tptp0),sK24(tptp0,sK110(sK113),sK111(sK113))), inference(resolution, [status(thm)], [d10,d8])).
% 37.50/10.91 cnf(d12, plain, 'min$uprecedes'(sK76(sK111(sK113),tptp0),sK111(sK113),tptp0), inference(resolution, [status(thm)], [d7,c47])).
% 37.50/10.91 cnf(d13, plain, 'subactivity$uoccurrence'(sK111(sK113),sK24(tptp0,sK110(sK113),sK111(sK113))), inference(resolution, [status(thm)], [d7,c10])).
% 37.50/10.91 cnf(d14, plain, 'subactivity$uoccurrence'(X0,sK24(tptp0,sK110(sK113),sK111(sK113))) | ~'subactivity$uoccurrence'(X1,sK24(tptp0,sK110(sK113),sK111(sK113))) | ~'min$uprecedes'(X0,X1,tptp0), inference(resolution, [status(thm)], [d9,c55])).
% 37.50/10.91 cnf(d15, plain, 'subactivity$uoccurrence'(X0,sK24(tptp0,sK110(sK113),sK111(sK113))) | ~'min$uprecedes'(X0,sK111(sK113),tptp0), inference(resolution, [status(thm)], [d14,d13])).
% 37.50/10.91 cnf(d16, plain, 'subactivity$uoccurrence'(sK76(sK111(sK113),tptp0),sK24(tptp0,sK110(sK113),sK111(sK113))), inference(resolution, [status(thm)], [d15,d12])).
% 37.50/10.91 cnf(d17, plain, 'root$uocc'(sK76(sK111(sK113),tptp0),sK24(tptp0,sK110(sK113),sK111(sK113))), inference(resolution, [status(thm)], [d16,d11])).
% 37.50/10.91 cnf(d18, plain, X0 = X1 | ~'root$uocc'(X1,sK24(tptp0,sK110(sK113),sK111(sK113))) | ~'root$uocc'(X0,sK24(tptp0,sK110(sK113),sK111(sK113))), inference(resolution, [status(thm)], [d9,c57])).
% 37.50/10.91 cnf(d19, plain, root(sK2(tptp0,sK113),tptp0) | atomic(tptp0), inference(resolution, [status(thm)], [c0,c80])).
% 37.50/10.91 cnf(d20, plain, root(sK2(tptp0,sK113),tptp0), inference(resolution, [status(thm)], [c69,d19])).
% 37.50/10.91 cnf(d21, plain, ~root(X0,tptp0) | ~'subactivity$uoccurrence'(X0,sK113) | 'root$uocc'(X0,sK113), inference(resolution, [status(thm)], [c40,c80])).
% 37.50/10.91 cnf(d22, plain, ~'subactivity$uoccurrence'(sK2(tptp0,sK113),sK113) | 'root$uocc'(sK2(tptp0,sK113),sK113), inference(resolution, [status(thm)], [d21,d20])).
% 37.50/10.91 cnf(d23, plain, atomic(tptp0) | 'subactivity$uoccurrence'(sK2(tptp0,sK113),sK113), inference(resolution, [status(thm)], [c1,c80])).
% 37.50/10.91 cnf(d24, plain, 'subactivity$uoccurrence'(sK2(tptp0,sK113),sK113), inference(resolution, [status(thm)], [c69,d23])).
% 37.50/10.91 cnf(d25, plain, 'root$uocc'(sK2(tptp0,sK113),sK113), inference(resolution, [status(thm)], [d24,d22])).
% 37.50/10.91 cnf(d26, plain, X0 = X1 | ~'root$uocc'(X1,sK113) | ~'root$uocc'(X0,sK113), inference(resolution, [status(thm)], [c57,c80])).
% 37.50/10.91 cnf(d27, plain, X0 = sK2(tptp0,sK113) | ~'root$uocc'(X0,sK113), inference(resolution, [status(thm)], [d26,d25])).
% 37.50/10.91 cnf(d28, plain, sK109(sK113) = sK2(tptp0,sK113), inference(resolution, [status(thm)], [d5,d27])).
% 37.50/10.91 cnf(d29, plain, root(sK109(sK113),tptp0), inference(demodulation, [status(thm)], [d20,d28])).
% 37.50/10.91 cnf(d30, plain, ~'subactivity$uoccurrence'(sK109(sK113),sK24(tptp0,sK110(sK113),sK111(sK113))) | 'root$uocc'(sK109(sK113),sK24(tptp0,sK110(sK113),sK111(sK113))), inference(resolution, [status(thm)], [d10,d29])).
% 37.50/10.91 cnf(d31, plain, 'min$uprecedes'(sK109(sK113),sK110(sK113),tptp0), inference(resolution, [status(thm)], [c66,d0])).
% 37.50/10.91 cnf(d32, plain, 'subactivity$uoccurrence'(sK110(sK113),sK24(tptp0,sK110(sK113),sK111(sK113))), inference(resolution, [status(thm)], [d7,c11])).
% 37.50/10.91 cnf(d33, plain, 'subactivity$uoccurrence'(X0,sK24(tptp0,sK110(sK113),sK111(sK113))) | ~'min$uprecedes'(X0,sK110(sK113),tptp0), inference(resolution, [status(thm)], [d14,d32])).
% 37.50/10.91 cnf(d34, plain, 'subactivity$uoccurrence'(sK109(sK113),sK24(tptp0,sK110(sK113),sK111(sK113))), inference(resolution, [status(thm)], [d33,d31])).
% 37.50/10.91 cnf(d35, plain, 'root$uocc'(sK109(sK113),sK24(tptp0,sK110(sK113),sK111(sK113))), inference(resolution, [status(thm)], [d34,d30])).
% 37.50/10.91 cnf(d36, plain, X0 = sK109(sK113) | ~'root$uocc'(X0,sK24(tptp0,sK110(sK113),sK111(sK113))), inference(resolution, [status(thm)], [d35,d18])).
% 37.50/10.91 cnf(d37, plain, sK76(sK111(sK113),tptp0) = sK109(sK113), inference(resolution, [status(thm)], [d36,d17])).
% 37.50/10.91 cnf(d38, plain, 'min$uprecedes'(sK87(sK76(sK111(sK113),tptp0),sK111(sK113),tptp0),sK111(sK113),tptp0) | 'next$usubocc'(sK76(sK111(sK113),tptp0),sK111(sK113),tptp0), inference(resolution, [status(thm)], [d12,c54])).
% 37.50/10.91 cnf(d39, plain, 'next$usubocc'(sK76(sK111(sK113),tptp0),sK111(sK113),tptp0) | 'min$uprecedes'(sK76(sK111(sK113),tptp0),sK111(sK113),tptp0), inference(resolution, [status(thm)], [d38,c47])).
% 37.50/10.91 cnf(d40, plain, 'min$uprecedes'(sK109(sK113),sK111(sK113),tptp0) | 'next$usubocc'(sK76(sK111(sK113),tptp0),sK111(sK113),tptp0), inference(demodulation, [status(thm)], [d39,d37])).
% 37.50/10.91 cnf(d41, plain, 'min$uprecedes'(sK109(sK113),sK111(sK113),tptp0) | 'next$usubocc'(sK109(sK113),sK111(sK113),tptp0), inference(demodulation, [status(thm)], [d40,d37])).
% 37.50/10.91 cnf(d42, plain, ~'min$uprecedes'(sK110(sK113),X0,tptp0) | ~'next$usubocc'(sK109(sK113),X0,tptp0), inference(resolution, [status(thm)], [d31,c52])).
% 37.50/10.91 cnf(d43, plain, ~'next$usubocc'(sK109(sK113),sK111(sK113),tptp0), inference(resolution, [status(thm)], [d42,d7])).
% 37.50/10.91 cnf(d44, plain, 'min$uprecedes'(sK109(sK113),sK111(sK113),tptp0), inference(resolution, [status(thm)], [d43,d41])).
% 37.50/10.91 cnf(d45, plain, 'occurrence$uof'(sK111(sK113),tptp1), inference(resolution, [status(thm)], [d44,d6])).
% 37.50/10.91 cnf(d46, plain, ~'occurrence$uof'(X0,tptp3) | ~'min$uprecedes'(X0,sK111(sK113),tptp0) | ~'root$uocc'(X0,sK113), inference(resolution, [status(thm)], [d45,c82])).
% 37.50/10.91 cnf(d47, plain, ~'min$uprecedes'(sK109(sK113),sK111(sK113),tptp0) | ~'root$uocc'(sK109(sK113),sK113), inference(resolution, [status(thm)], [d46,d1])).
% 37.50/10.91 cnf(d48, plain, ~'min$uprecedes'(sK109(sK113),sK111(sK113),tptp0), inference(resolution, [status(thm)], [d5,d47])).
% 37.50/10.91 cnf(d49, plain, $false, inference(resolution, [status(thm)], [d44,d48])).
% 37.50/10.91 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------