%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PRO009+3 : 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 : n019.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 08:20:42 AM UTC 2026
% Result : Theorem 30.45s 4.28s
% Output : CNFRefutation 30.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO009+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.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 04:58:18 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.45/4.28 % SZS status Theorem for theBenchmark.p
% 30.45/4.28 % SZS output start CNFRefutation for theBenchmark.p
% 30.45/4.28 fof(sos_02, axiom, ! [X0] : ! [X1] : ! [X2] : ((('occurrence$uof'(X0,X1) & 'occurrence$uof'(X0,X2)) => X1 = X2))).
% 30.45/4.28 fof(sos_07, axiom, ! [X0] : ! [X1] : (('occurrence$uof'(X0,X1) => (arboreal(X0) <=> atomic(X1))))).
% 30.45/4.28 fof(sos_11, axiom, ! [X0] : ! [X1] : ! [X2] : (('min$uprecedes'(X1,X2,X0) => ? [X3] : ? [X4] : ((subactivity(X3,X0) & (subactivity(X4,X0) & (atocc(X1,X3) & atocc(X2,X4)))))))).
% 30.45/4.28 fof(sos_12, axiom, ! [X0] : ! [X1] : ((root(X1,X0) => ? [X2] : ((subactivity(X2,X0) & atocc(X1,X2)))))).
% 30.45/4.28 fof(sos_21, axiom, ! [X0] : ! [X1] : ((leaf(X0,X1) <=> ((root(X0,X1) | ? [X2] : 'min$uprecedes'(X2,X0,X1)) & ~? [X3] : 'min$uprecedes'(X0,X3,X1))))).
% 30.45/4.28 fof(sos_22, 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))))))).
% 30.45/4.28 fof(sos_23, axiom, ! [X0] : ! [X1] : ((atocc(X0,X1) <=> ? [X2] : ((subactivity(X1,X2) & (atomic(X2) & 'occurrence$uof'(X0,X2))))))).
% 30.45/4.28 fof(sos_34, axiom, ! [X0] : ! [X1] : (('leaf$uocc'(X0,X1) <=> ? [X2] : (('occurrence$uof'(X1,X2) & ('subactivity$uoccurrence'(X0,X1) & leaf(X0,X2))))))).
% 30.45/4.28 fof(sos_42, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('occurrence$uof'(X1,X0) & ('subactivity$uoccurrence'(X2,X1) & ('root$uocc'(X3,X1) & (arboreal(X2) & ~'min$uprecedes'(X3,X2,X0))))) => X3 = X2))).
% 30.45/4.28 fof(sos_49, axiom, ! [X0] : (('occurrence$uof'(X0,tptp0) => ? [X1] : ? [X2] : ? [X3] : (('occurrence$uof'(X1,tptp3) & ('root$uocc'(X1,X0) & ('occurrence$uof'(X2,tptp4) & ('next$usubocc'(X1,X2,tptp0) & (('occurrence$uof'(X3,tptp2) | 'occurrence$uof'(X3,tptp1)) & ('next$usubocc'(X2,X3,tptp0) & 'leaf$uocc'(X3,X0))))))))))).
% 30.45/4.28 fof(goals, conjecture, ! [X0] : (('occurrence$uof'(X0,tptp0) => ? [X1] : ? [X2] : (('occurrence$uof'(X1,tptp3) & ('root$uocc'(X1,X0) & (('occurrence$uof'(X2,tptp2) | 'occurrence$uof'(X2,tptp1)) & ('min$uprecedes'(X1,X2,tptp0) & 'leaf$uocc'(X2,X0))))))))).
% 30.45/4.28 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) & 'leaf$uocc'(X2,X0)))))))), inference(negate_conjecture, [status(cth)], [goals])).
% 30.45/4.28 cnf(c4, plain, ~'occurrence$uof'(X0,X1) | ~'occurrence$uof'(X0,X2) | X1 = X2, inference(clausification, [status(esa)], [sos_02])).
% 30.45/4.28 cnf(c10, plain, ~'occurrence$uof'(X0,X1) | arboreal(X0) | ~atomic(X1), inference(clausification, [status(esa)], [sos_07])).
% 30.45/4.28 cnf(c19, plain, ~'min$uprecedes'(X0,X1,X2) | atocc(X1,sK27(X2,X0,X1)), inference(clausification, [status(esa)], [sos_11])).
% 30.45/4.28 cnf(c21, plain, ~root(X0,X1) | atocc(X0,sK30(X1,X0)), inference(clausification, [status(esa)], [sos_12])).
% 30.45/4.28 cnf(c31, plain, ~leaf(X0,X1) | root(X0,X1) | 'min$uprecedes'(sK58(X0,X1),X0,X1), inference(clausification, [status(esa)], [sos_21])).
% 30.45/4.28 cnf(c32, plain, ~leaf(X0,X1) | ~'min$uprecedes'(X0,X2,X1), inference(clausification, [status(esa)], [sos_21])).
% 30.45/4.28 cnf(c35, plain, ~'next$usubocc'(X0,X1,X2) | 'min$uprecedes'(X0,X1,X2), inference(clausification, [status(esa)], [sos_22])).
% 30.45/4.28 cnf(c40, plain, ~atocc(X0,X1) | atomic(sK69(X0,X1)), inference(clausification, [status(esa)], [sos_23])).
% 30.45/4.28 cnf(c41, plain, ~atocc(X0,X1) | 'occurrence$uof'(X0,sK69(X0,X1)), inference(clausification, [status(esa)], [sos_23])).
% 30.45/4.28 cnf(c62, plain, ~'leaf$uocc'(X0,X1) | 'occurrence$uof'(X1,sK109(X0,X1)), inference(clausification, [status(esa)], [sos_34])).
% 30.45/4.28 cnf(c63, plain, ~'leaf$uocc'(X0,X1) | 'subactivity$uoccurrence'(X0,X1), inference(clausification, [status(esa)], [sos_34])).
% 30.45/4.28 cnf(c64, plain, ~'leaf$uocc'(X0,X1) | leaf(X0,sK109(X0,X1)), inference(clausification, [status(esa)], [sos_34])).
% 30.45/4.28 cnf(c73, plain, ~'occurrence$uof'(X0,X1) | ~arboreal(X2) | ~'subactivity$uoccurrence'(X2,X0) | X3 = X2 | 'min$uprecedes'(X3,X2,X1) | ~'root$uocc'(X3,X0), inference(clausification, [status(esa)], [sos_42])).
% 30.45/4.28 cnf(c82, plain, ~'occurrence$uof'(X0,tptp0) | X1(X0), inference(clausification, [status(esa)], [sos_49])).
% 30.45/4.28 cnf(c83, plain, ~X0(X1) | 'occurrence$uof'(sK169(X1),tptp3), inference(clausification, [status(esa)], [sos_49])).
% 30.45/4.28 cnf(c84, plain, ~X0(X1) | 'root$uocc'(sK169(X1),X1), inference(clausification, [status(esa)], [sos_49])).
% 30.45/4.28 cnf(c86, plain, ~X0(X1) | 'next$usubocc'(sK169(X1),sK170(X1),tptp0), inference(clausification, [status(esa)], [sos_49])).
% 30.45/4.28 cnf(c87, plain, ~X0(X1) | 'occurrence$uof'(sK171(X1),tptp2) | 'occurrence$uof'(sK171(X1),tptp1), inference(clausification, [status(esa)], [sos_49])).
% 30.45/4.28 cnf(c89, plain, ~X0(X1) | 'leaf$uocc'(sK171(X1),X1), inference(clausification, [status(esa)], [sos_49])).
% 30.45/4.28 cnf(c102, plain, 'occurrence$uof'(sK172,tptp0), inference(clausification, [status(esa)], [negated_conjecture])).
% 30.45/4.28 cnf(c103, plain, ~'min$uprecedes'(X0,X1,tptp0) | ~'leaf$uocc'(X1,sK172) | ~'occurrence$uof'(X0,tptp3) | ~'root$uocc'(X0,sK172) | ~'occurrence$uof'(X1,tptp2), inference(clausification, [status(esa)], [negated_conjecture])).
% 30.45/4.28 cnf(c104, plain, ~'min$uprecedes'(X0,X1,tptp0) | ~'leaf$uocc'(X1,sK172) | ~'occurrence$uof'(X0,tptp3) | ~'root$uocc'(X0,sK172) | ~'occurrence$uof'(X1,tptp1), inference(clausification, [status(esa)], [negated_conjecture])).
% 30.45/4.28 cnf(d0, plain, ~'Ts167'(X0) | 'min$uprecedes'(sK169(X0),sK170(X0),tptp0), inference(resolution, [status(thm)], [c86,c35])).
% 30.45/4.28 cnf(d1, plain, ~'Ts167'(X0) | ~leaf(sK169(X0),tptp0), inference(resolution, [status(thm)], [d0,c32])).
% 30.45/4.28 cnf(d2, plain, tptp0 = X0 | ~'occurrence$uof'(sK172,X0), inference(resolution, [status(thm)], [c4,c102])).
% 30.45/4.28 cnf(d3, plain, ~'leaf$uocc'(X0,sK172) | tptp0 = sK109(X0,sK172), inference(resolution, [status(thm)], [c62,d2])).
% 30.45/4.28 cnf(d4, plain, leaf(X0,tptp0) | ~'leaf$uocc'(X0,sK172) | ~'leaf$uocc'(X0,sK172), inference(superposition, [status(thm)], [d3,c64])).
% 30.45/4.28 cnf(d5, plain, leaf(sK171(sK172),tptp0) | ~'Ts167'(sK172), inference(resolution, [status(thm)], [d4,c89])).
% 30.45/4.28 cnf(d6, plain, 'Ts167'(sK172), inference(resolution, [status(thm)], [c82,c102])).
% 30.45/4.28 cnf(d7, plain, leaf(sK171(sK172),tptp0), inference(resolution, [status(thm)], [d6,d5])).
% 30.45/4.28 cnf(d8, plain, ~'Ts167'(X0) | 'subactivity$uoccurrence'(sK171(X0),X0), inference(resolution, [status(thm)], [c89,c63])).
% 30.45/4.28 cnf(d9, plain, X0 = X1 | ~'occurrence$uof'(X2,tptp0) | ~arboreal(X1) | ~'subactivity$uoccurrence'(X1,X2) | ~'root$uocc'(X0,X2) | ~'occurrence$uof'(X0,tptp3) | ~'occurrence$uof'(X1,tptp2) | ~'root$uocc'(X0,sK172) | ~'leaf$uocc'(X1,sK172), inference(resolution, [status(thm)], [c73,c103])).
% 30.45/4.28 cnf(d10, plain, X0 = sK171(sK172) | ~'occurrence$uof'(X1,tptp0) | ~'occurrence$uof'(sK171(sK172),tptp2) | ~'occurrence$uof'(X0,tptp3) | ~arboreal(sK171(sK172)) | ~'subactivity$uoccurrence'(sK171(sK172),X1) | ~'root$uocc'(X0,X1) | ~'root$uocc'(X0,sK172) | ~'Ts167'(sK172), inference(resolution, [status(thm)], [d9,c89])).
% 30.45/4.28 cnf(d11, plain, X0 = sK171(sK172) | ~'occurrence$uof'(X1,tptp0) | ~'occurrence$uof'(X0,tptp3) | ~'occurrence$uof'(sK171(sK172),tptp2) | ~arboreal(sK171(sK172)) | ~'subactivity$uoccurrence'(sK171(sK172),X1) | ~'root$uocc'(X0,X1) | ~'root$uocc'(X0,sK172), inference(resolution, [status(thm)], [d6,d10])).
% 30.45/4.28 cnf(d12, plain, ~atocc(X0,X1) | arboreal(X0) | ~atomic(sK69(X0,X1)), inference(resolution, [status(thm)], [c41,c10])).
% 30.45/4.28 cnf(d13, plain, arboreal(X0) | ~atocc(X0,X1) | ~atocc(X0,X1), inference(resolution, [status(thm)], [d12,c40])).
% 30.45/4.28 cnf(d14, plain, arboreal(X0) | ~root(X0,X1), inference(resolution, [status(thm)], [d13,c21])).
% 30.45/4.28 cnf(d15, plain, arboreal(X0) | ~'min$uprecedes'(X1,X0,X2), inference(resolution, [status(thm)], [d13,c19])).
% 30.45/4.28 cnf(d16, plain, root(X0,X1) | ~leaf(X0,X1) | arboreal(X0), inference(resolution, [status(thm)], [c31,d15])).
% 30.45/4.28 cnf(d17, plain, arboreal(sK171(sK172)) | root(sK171(sK172),tptp0), inference(resolution, [status(thm)], [d16,d7])).
% 30.45/4.28 cnf(d18, plain, arboreal(sK171(sK172)) | arboreal(sK171(sK172)), inference(resolution, [status(thm)], [d17,d14])).
% 30.45/4.28 cnf(d19, plain, X0 = sK171(sK172) | ~'occurrence$uof'(X1,tptp0) | ~'occurrence$uof'(X0,tptp3) | ~'occurrence$uof'(sK171(sK172),tptp2) | ~'subactivity$uoccurrence'(sK171(sK172),X1) | ~'root$uocc'(X0,X1) | ~'root$uocc'(X0,sK172), inference(resolution, [status(thm)], [d18,d11])).
% 30.45/4.28 cnf(d20, plain, X0 = sK171(sK172) | ~'occurrence$uof'(sK172,tptp0) | ~'occurrence$uof'(X0,tptp3) | ~'occurrence$uof'(sK171(sK172),tptp2) | ~'root$uocc'(X0,sK172) | ~'root$uocc'(X0,sK172) | ~'Ts167'(sK172), inference(resolution, [status(thm)], [d19,d8])).
% 30.45/4.28 cnf(d21, plain, X0 = sK171(sK172) | ~'occurrence$uof'(X0,tptp3) | ~'occurrence$uof'(sK171(sK172),tptp2) | ~'root$uocc'(X0,sK172) | ~'Ts167'(sK172), inference(resolution, [status(thm)], [c102,d20])).
% 30.45/4.28 cnf(d22, plain, X0 = sK171(sK172) | ~'occurrence$uof'(X0,tptp3) | ~'occurrence$uof'(sK171(sK172),tptp2) | ~'root$uocc'(X0,sK172), inference(resolution, [status(thm)], [d6,d21])).
% 30.45/4.28 cnf(d23, plain, X0 = X1 | ~'occurrence$uof'(X2,tptp0) | ~arboreal(X1) | ~'subactivity$uoccurrence'(X1,X2) | ~'root$uocc'(X0,X2) | ~'occurrence$uof'(X0,tptp3) | ~'occurrence$uof'(X1,tptp1) | ~'root$uocc'(X0,sK172) | ~'leaf$uocc'(X1,sK172), inference(resolution, [status(thm)], [c73,c104])).
% 30.45/4.28 cnf(d24, plain, X0 = sK171(sK172) | ~'occurrence$uof'(X1,tptp0) | ~'occurrence$uof'(sK171(sK172),tptp1) | ~'occurrence$uof'(X0,tptp3) | ~arboreal(sK171(sK172)) | ~'subactivity$uoccurrence'(sK171(sK172),X1) | ~'root$uocc'(X0,X1) | ~'root$uocc'(X0,sK172) | ~'Ts167'(sK172), inference(resolution, [status(thm)], [d23,c89])).
% 30.45/4.28 cnf(d25, plain, X0 = sK171(sK172) | ~'occurrence$uof'(X1,tptp0) | ~'occurrence$uof'(X0,tptp3) | ~'occurrence$uof'(sK171(sK172),tptp1) | ~arboreal(sK171(sK172)) | ~'subactivity$uoccurrence'(sK171(sK172),X1) | ~'root$uocc'(X0,X1) | ~'root$uocc'(X0,sK172), inference(resolution, [status(thm)], [d6,d24])).
% 30.45/4.28 cnf(d26, plain, X0 = sK171(sK172) | ~'occurrence$uof'(X1,tptp0) | ~'occurrence$uof'(X0,tptp3) | ~'occurrence$uof'(sK171(sK172),tptp1) | ~'subactivity$uoccurrence'(sK171(sK172),X1) | ~'root$uocc'(X0,X1) | ~'root$uocc'(X0,sK172), inference(resolution, [status(thm)], [d18,d25])).
% 30.45/4.28 cnf(d27, plain, X0 = sK171(sK172) | ~'occurrence$uof'(sK172,tptp0) | ~'occurrence$uof'(X0,tptp3) | ~'occurrence$uof'(sK171(sK172),tptp1) | ~'root$uocc'(X0,sK172) | ~'root$uocc'(X0,sK172) | ~'Ts167'(sK172), inference(resolution, [status(thm)], [d26,d8])).
% 30.45/4.28 cnf(d28, plain, X0 = sK171(sK172) | ~'occurrence$uof'(X0,tptp3) | ~'occurrence$uof'(sK171(sK172),tptp1) | ~'root$uocc'(X0,sK172) | ~'Ts167'(sK172), inference(resolution, [status(thm)], [c102,d27])).
% 30.45/4.28 cnf(d29, plain, X0 = sK171(sK172) | ~'occurrence$uof'(X0,tptp3) | ~'occurrence$uof'(sK171(sK172),tptp1) | ~'root$uocc'(X0,sK172), inference(resolution, [status(thm)], [d6,d28])).
% 30.45/4.28 cnf(d30, plain, 'occurrence$uof'(sK171(sK172),tptp2) | ~'Ts167'(sK172) | X0 = sK171(sK172) | ~'occurrence$uof'(X0,tptp3) | ~'root$uocc'(X0,sK172), inference(resolution, [status(thm)], [c87,d29])).
% 30.45/4.28 cnf(d31, plain, X0 = sK171(sK172) | ~'occurrence$uof'(X0,tptp3) | 'occurrence$uof'(sK171(sK172),tptp2) | ~'root$uocc'(X0,sK172), inference(resolution, [status(thm)], [d6,d30])).
% 30.45/4.28 cnf(d32, plain, X0 = sK171(sK172) | ~'occurrence$uof'(X0,tptp3) | ~'root$uocc'(X0,sK172) | X1 = sK171(sK172) | ~'occurrence$uof'(X1,tptp3) | ~'root$uocc'(X1,sK172), inference(resolution, [status(thm)], [d31,d22])).
% 30.45/4.28 cnf(d33, plain, leaf(X0,tptp0) | X1 = sK171(sK172) | ~'occurrence$uof'(X1,tptp3) | ~'occurrence$uof'(X0,tptp3) | ~'root$uocc'(X1,sK172) | ~'root$uocc'(X0,sK172), inference(superposition, [status(thm)], [d32,d7])).
% 30.45/4.28 cnf(d34, plain, leaf(X0,tptp0) | ~'occurrence$uof'(X0,tptp3) | ~'occurrence$uof'(X1,tptp3) | leaf(X1,tptp0) | ~'root$uocc'(X0,sK172) | ~'root$uocc'(X1,sK172), inference(superposition, [status(thm)], [d33,d7])).
% 30.45/4.28 cnf(d35, plain, ~'occurrence$uof'(X0,tptp3) | ~'occurrence$uof'(sK169(sK172),tptp3) | leaf(X0,tptp0) | leaf(sK169(sK172),tptp0) | ~'root$uocc'(X0,sK172) | ~'Ts167'(sK172), inference(resolution, [status(thm)], [d34,c84])).
% 30.45/4.28 cnf(d36, plain, ~'occurrence$uof'(X0,tptp3) | ~'occurrence$uof'(sK169(sK172),tptp3) | leaf(X0,tptp0) | leaf(sK169(sK172),tptp0) | ~'root$uocc'(X0,sK172), inference(resolution, [status(thm)], [d6,d35])).
% 30.45/4.28 cnf(d37, plain, ~'occurrence$uof'(X0,tptp3) | leaf(X0,tptp0) | leaf(sK169(sK172),tptp0) | ~'root$uocc'(X0,sK172) | ~'Ts167'(sK172), inference(resolution, [status(thm)], [d36,c83])).
% 30.45/4.28 cnf(d38, plain, ~'occurrence$uof'(X0,tptp3) | leaf(X0,tptp0) | leaf(sK169(sK172),tptp0) | ~'root$uocc'(X0,sK172), inference(resolution, [status(thm)], [d6,d37])).
% 30.45/4.28 cnf(d39, plain, ~'occurrence$uof'(X0,tptp3) | leaf(X0,tptp0) | ~'root$uocc'(X0,sK172) | ~'Ts167'(sK172), inference(resolution, [status(thm)], [d38,d1])).
% 30.45/4.28 cnf(d40, plain, ~'occurrence$uof'(X0,tptp3) | leaf(X0,tptp0) | ~'root$uocc'(X0,sK172), inference(resolution, [status(thm)], [d6,d39])).
% 30.45/4.28 cnf(d41, plain, ~'occurrence$uof'(sK169(sK172),tptp3) | leaf(sK169(sK172),tptp0) | ~'Ts167'(sK172), inference(resolution, [status(thm)], [d40,c84])).
% 30.45/4.28 cnf(d42, plain, ~'occurrence$uof'(sK169(sK172),tptp3) | leaf(sK169(sK172),tptp0), inference(resolution, [status(thm)], [d6,d41])).
% 30.45/4.28 cnf(d43, plain, leaf(sK169(sK172),tptp0) | ~'Ts167'(sK172), inference(resolution, [status(thm)], [d42,c83])).
% 30.45/4.28 cnf(d44, plain, leaf(sK169(sK172),tptp0), inference(resolution, [status(thm)], [d6,d43])).
% 30.45/4.28 cnf(d45, plain, ~'Ts167'(sK172), inference(resolution, [status(thm)], [d44,d1])).
% 30.45/4.28 cnf(d46, plain, $false, inference(resolution, [status(thm)], [d6,d45])).
% 30.45/4.28 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------