%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PRO016+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 : n008.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 08:20:44 AM UTC 2026
% Result : Theorem 46.18s 13.33s
% Output : CNFRefutation 46.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO016+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.58 % Computer : n008.cluster.edu
% 0.12/5.58 % Model : x86_64 x86_64
% 0.12/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.58 % Memory : 8046.5625MB
% 0.12/5.58 % OS : Linux 6.8.0-71-generic
% 0.12/5.58 % CPULimit : 300
% 0.12/5.58 % WCLimit : 300
% 0.12/5.58 % DateTime : Sat Sep 26 05:01:16 UTC 2026
% 0.12/5.59 % CPUTime :
% 0.12/5.59 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.18/13.33 % SZS status Theorem for theBenchmark.p
% 46.18/13.33 % SZS output start CNFRefutation for theBenchmark.p
% 46.18/13.33 fof(sos_04, axiom, ! [X0] : ! [X1] : ((earlier(X0,X1) => ~earlier(X1,X0)))).
% 46.18/13.33 fof(sos_07, axiom, ! [X0] : ! [X1] : (('occurrence$uof'(X0,X1) => (arboreal(X0) <=> atomic(X1))))).
% 46.18/13.33 fof(sos_10, axiom, ! [X0] : ! [X1] : ((precedes(X0,X1) <=> (earlier(X0,X1) & legal(X1))))).
% 46.18/13.33 fof(sos_15, axiom, ! [X0] : ! [X1] : ! [X2] : (('min$uprecedes'(X0,X1,X2) => precedes(X0,X1)))).
% 46.18/13.33 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))))))).
% 46.18/13.33 fof(sos_29, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('min$uprecedes'(X0,X1,X2) & ('occurrence$uof'(X3,X2) & 'subactivity$uoccurrence'(X1,X3))) => 'subactivity$uoccurrence'(X0,X3)))).
% 46.18/13.33 fof(sos_34, axiom, ! [X0] : ! [X1] : (('leaf$uocc'(X0,X1) <=> ? [X2] : (('occurrence$uof'(X1,X2) & ('subactivity$uoccurrence'(X0,X1) & leaf(X0,X2))))))).
% 46.18/13.33 fof(sos_36, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('occurrence$uof'(X2,X3) & (~atomic(X3) & ('leaf$uocc'(X0,X2) & 'leaf$uocc'(X1,X2)))) => X0 = X1))).
% 46.18/13.33 fof(sos_37, axiom, ! [X0] : ! [X1] : ! [X2] : ((('occurrence$uof'(X0,X2) & 'leaf$uocc'(X1,X0)) => ~? [X3] : 'min$uprecedes'(X1,X3,X2)))).
% 46.18/13.33 fof(sos_40, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('next$usubocc'(X1,X0,X3) & 'next$usubocc'(X2,X0,X3)) => X1 = X2))).
% 46.18/13.33 fof(sos_49, axiom, ! [X0] : ! [X1] : ((('occurrence$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$uof'(X3,tptp4) & ('next$usubocc'(X2,X3,tptp0) & (('occurrence$uof'(X4,tptp1) | 'occurrence$uof'(X4,tptp2)) & ('next$usubocc'(X3,X4,tptp0) & 'leaf$uocc'(X4,X1))))))))))).
% 46.18/13.33 fof(sos_51, axiom, ~atomic(tptp0)).
% 46.18/13.33 fof(sos_52, axiom, atomic(tptp4)).
% 46.18/13.33 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$uprecedes'(X2,X5,tptp0)))))))))))))).
% 46.18/13.33 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((('occurrence$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])).
% 46.18/13.33 cnf(c6, plain, ~earlier(X0,X1) | ~earlier(X1,X0), inference(clausification, [status(esa)], [sos_04])).
% 46.18/13.33 cnf(c10, plain, ~'occurrence$uof'(X0,X1) | arboreal(X0) | ~atomic(X1), inference(clausification, [status(esa)], [sos_07])).
% 46.18/13.33 cnf(c13, plain, ~precedes(X0,X1) | earlier(X0,X1), inference(clausification, [status(esa)], [sos_10])).
% 46.18/13.33 cnf(c25, plain, ~'min$uprecedes'(X0,X1,X2) | precedes(X0,X1), inference(clausification, [status(esa)], [sos_15])).
% 46.18/13.33 cnf(c35, plain, ~'next$usubocc'(X0,X1,X2) | 'min$uprecedes'(X0,X1,X2), inference(clausification, [status(esa)], [sos_22])).
% 46.18/13.33 cnf(c53, plain, ~'occurrence$uof'(X0,X1) | ~'subactivity$uoccurrence'(X2,X0) | ~'min$uprecedes'(X3,X2,X1) | 'subactivity$uoccurrence'(X3,X0), inference(clausification, [status(esa)], [sos_29])).
% 46.18/13.33 cnf(c64, plain, ~'leaf$uocc'(X0,X1) | 'subactivity$uoccurrence'(X0,X1), inference(clausification, [status(esa)], [sos_34])).
% 46.18/13.33 cnf(c67, plain, ~'leaf$uocc'(X0,X1) | atomic(X2) | ~'occurrence$uof'(X1,X2) | ~'leaf$uocc'(X3,X1) | X3 = X0, inference(clausification, [status(esa)], [sos_36])).
% 46.18/13.33 cnf(c68, plain, ~'leaf$uocc'(X0,X1) | ~'occurrence$uof'(X1,X2) | ~'min$uprecedes'(X0,X3,X2), inference(clausification, [status(esa)], [sos_37])).
% 46.18/13.33 cnf(c71, plain, ~'next$usubocc'(X0,X1,X2) | ~'next$usubocc'(X3,X1,X2) | X0 = X3, inference(clausification, [status(esa)], [sos_40])).
% 46.18/13.33 cnf(c82, plain, ~'subactivity$uoccurrence'(X0,X1) | X2(X0,X1) | ~arboreal(X0) | 'leaf$uocc'(X0,X1) | ~'occurrence$uof'(X1,tptp0), inference(clausification, [status(esa)], [sos_49])).
% 46.18/13.33 cnf(c84, plain, ~X0(X1,X2) | 'occurrence$uof'(sK171(X1,X2),tptp4), inference(clausification, [status(esa)], [sos_49])).
% 46.18/13.33 cnf(c86, plain, ~X0(X1,X2) | 'leaf$uocc'(sK172(X1,X2),X2), inference(clausification, [status(esa)], [sos_49])).
% 46.18/13.33 cnf(c87, plain, ~X0(X1,X2) | 'next$usubocc'(sK171(X1,X2),sK172(X1,X2),tptp0), inference(clausification, [status(esa)], [sos_49])).
% 46.18/13.33 cnf(c88, plain, ~X0(X1,X2) | 'next$usubocc'(sK170(X1,X2),sK171(X1,X2),tptp0), inference(clausification, [status(esa)], [sos_49])).
% 46.18/13.33 cnf(c89, plain, ~X0(X1,X2) | 'next$usubocc'(X1,sK170(X1,X2),tptp0), inference(clausification, [status(esa)], [sos_49])).
% 46.18/13.33 cnf(c91, plain, ~atomic(tptp0), inference(clausification, [status(esa)], [sos_51])).
% 46.18/13.33 cnf(c92, plain, atomic(tptp4), inference(clausification, [status(esa)], [sos_52])).
% 46.18/13.33 cnf(c102, plain, 'subactivity$uoccurrence'(sK175,sK176), inference(clausification, [status(esa)], [negated_conjecture])).
% 46.18/13.33 cnf(c103, plain, ~'leaf$uocc'(sK175,sK176), inference(clausification, [status(esa)], [negated_conjecture])).
% 46.18/13.33 cnf(c104, plain, arboreal(sK175), inference(clausification, [status(esa)], [negated_conjecture])).
% 46.18/13.33 cnf(c105, plain, 'occurrence$uof'(sK176,tptp0), inference(clausification, [status(esa)], [negated_conjecture])).
% 46.18/13.33 cnf(d0, plain, ~arboreal(X0) | ~'subactivity$uoccurrence'(X0,sK176) | 'leaf$uocc'(X0,sK176) | 'Ts167'(X0,sK176), inference(resolution, [status(thm)], [c82,c105])).
% 46.18/13.33 cnf(d1, plain, ~'subactivity$uoccurrence'(sK175,sK176) | 'leaf$uocc'(sK175,sK176) | 'Ts167'(sK175,sK176), inference(resolution, [status(thm)], [d0,c104])).
% 46.18/13.33 cnf(d2, plain, 'leaf$uocc'(sK175,sK176) | 'Ts167'(sK175,sK176), inference(resolution, [status(thm)], [c102,d1])).
% 46.18/13.33 cnf(d3, plain, 'Ts167'(sK175,sK176), inference(resolution, [status(thm)], [c103,d2])).
% 46.18/13.33 cnf(d4, plain, 'next$usubocc'(sK170(sK175,sK176),sK171(sK175,sK176),tptp0), inference(resolution, [status(thm)], [d3,c88])).
% 46.18/13.33 cnf(d5, plain, X0 = sK170(sK175,sK176) | ~'next$usubocc'(X0,sK171(sK175,sK176),tptp0), inference(resolution, [status(thm)], [d4,c71])).
% 46.18/13.33 cnf(d6, plain, 'next$usubocc'(sK171(sK175,sK176),sK172(sK175,sK176),tptp0), inference(resolution, [status(thm)], [d3,c87])).
% 46.18/13.33 cnf(d7, plain, X0 = sK171(sK175,sK176) | ~'next$usubocc'(X0,sK172(sK175,sK176),tptp0), inference(resolution, [status(thm)], [d6,c71])).
% 46.18/13.33 cnf(d8, plain, X0 = X1 | atomic(tptp0) | ~'leaf$uocc'(X0,sK176) | ~'leaf$uocc'(X1,sK176), inference(resolution, [status(thm)], [c67,c105])).
% 46.18/13.33 cnf(d9, plain, X0 = X1 | ~'leaf$uocc'(X1,sK176) | ~'leaf$uocc'(X0,sK176), inference(resolution, [status(thm)], [c91,d8])).
% 46.18/13.33 cnf(d10, plain, 'leaf$uocc'(sK172(sK175,sK176),sK176), inference(resolution, [status(thm)], [d3,c86])).
% 46.18/13.33 cnf(d11, plain, X0 = sK172(sK175,sK176) | ~'leaf$uocc'(X0,sK176), inference(resolution, [status(thm)], [d10,d9])).
% 46.18/13.33 cnf(d12, plain, 'occurrence$uof'(sK171(sK175,sK176),tptp4), inference(resolution, [status(thm)], [d3,c84])).
% 46.18/13.33 cnf(d13, plain, arboreal(sK171(sK175,sK176)) | ~atomic(tptp4), inference(resolution, [status(thm)], [d12,c10])).
% 46.18/13.33 cnf(d14, plain, arboreal(sK171(sK175,sK176)), inference(resolution, [status(thm)], [c92,d13])).
% 46.18/13.33 cnf(d15, plain, ~'subactivity$uoccurrence'(sK171(sK175,sK176),sK176) | 'leaf$uocc'(sK171(sK175,sK176),sK176) | 'Ts167'(sK171(sK175,sK176),sK176), inference(resolution, [status(thm)], [d14,d0])).
% 46.18/13.33 cnf(d16, plain, ~'min$uprecedes'(X0,X1,tptp0) | ~'leaf$uocc'(X0,sK176), inference(resolution, [status(thm)], [c68,c105])).
% 46.18/13.33 cnf(d17, plain, 'min$uprecedes'(sK171(sK175,sK176),sK172(sK175,sK176),tptp0), inference(resolution, [status(thm)], [d6,c35])).
% 46.18/13.33 cnf(d18, plain, ~'leaf$uocc'(sK171(sK175,sK176),sK176), inference(resolution, [status(thm)], [d17,d16])).
% 46.18/13.33 cnf(d19, plain, ~'subactivity$uoccurrence'(sK171(sK175,sK176),sK176) | 'Ts167'(sK171(sK175,sK176),sK176), inference(resolution, [status(thm)], [d18,d15])).
% 46.18/13.33 cnf(d20, plain, ~'min$uprecedes'(X0,X1,tptp0) | 'subactivity$uoccurrence'(X0,sK176) | ~'subactivity$uoccurrence'(X1,sK176), inference(resolution, [status(thm)], [c53,c105])).
% 46.18/13.33 cnf(d21, plain, ~'subactivity$uoccurrence'(sK172(sK175,sK176),sK176) | 'subactivity$uoccurrence'(sK171(sK175,sK176),sK176), inference(resolution, [status(thm)], [d17,d20])).
% 46.18/13.33 cnf(d22, plain, 'subactivity$uoccurrence'(sK172(sK175,sK176),sK176), inference(resolution, [status(thm)], [d10,c64])).
% 46.18/13.33 cnf(d23, plain, 'subactivity$uoccurrence'(sK171(sK175,sK176),sK176), inference(resolution, [status(thm)], [d22,d21])).
% 46.18/13.33 cnf(d24, plain, 'Ts167'(sK171(sK175,sK176),sK176), inference(resolution, [status(thm)], [d23,d19])).
% 46.18/13.33 cnf(d25, plain, 'leaf$uocc'(sK172(sK171(sK175,sK176),sK176),sK176), inference(resolution, [status(thm)], [d24,c86])).
% 46.18/13.33 cnf(d26, plain, sK172(sK171(sK175,sK176),sK176) = sK172(sK175,sK176), inference(resolution, [status(thm)], [d25,d11])).
% 46.18/13.33 cnf(d27, plain, 'next$usubocc'(sK171(sK171(sK175,sK176),sK176),sK172(sK171(sK175,sK176),sK176),tptp0), inference(resolution, [status(thm)], [d24,c87])).
% 46.18/13.33 cnf(d28, plain, 'next$usubocc'(sK171(sK171(sK175,sK176),sK176),sK172(sK175,sK176),tptp0), inference(demodulation, [status(thm)], [d27,d26])).
% 46.18/13.33 cnf(d29, plain, sK171(sK171(sK175,sK176),sK176) = sK171(sK175,sK176), inference(resolution, [status(thm)], [d28,d7])).
% 46.18/13.33 cnf(d30, plain, 'next$usubocc'(sK170(sK171(sK175,sK176),sK176),sK171(sK171(sK175,sK176),sK176),tptp0), inference(resolution, [status(thm)], [d24,c88])).
% 46.18/13.33 cnf(d31, plain, 'next$usubocc'(sK170(sK171(sK175,sK176),sK176),sK171(sK175,sK176),tptp0), inference(demodulation, [status(thm)], [d30,d29])).
% 46.18/13.33 cnf(d32, plain, sK170(sK171(sK175,sK176),sK176) = sK170(sK175,sK176), inference(resolution, [status(thm)], [d31,d5])).
% 46.18/13.33 cnf(d33, plain, 'next$usubocc'(sK171(sK175,sK176),sK170(sK171(sK175,sK176),sK176),tptp0), inference(resolution, [status(thm)], [d24,c89])).
% 46.18/13.33 cnf(d34, plain, 'min$uprecedes'(sK171(sK175,sK176),sK170(sK171(sK175,sK176),sK176),tptp0), inference(resolution, [status(thm)], [d33,c35])).
% 46.18/13.33 cnf(d35, plain, precedes(sK171(sK175,sK176),sK170(sK171(sK175,sK176),sK176)), inference(resolution, [status(thm)], [d34,c25])).
% 46.18/13.33 cnf(d36, plain, earlier(sK171(sK175,sK176),sK170(sK171(sK175,sK176),sK176)), inference(resolution, [status(thm)], [d35,c13])).
% 46.18/13.33 cnf(d37, plain, earlier(sK171(sK175,sK176),sK170(sK175,sK176)), inference(demodulation, [status(thm)], [d36,d32])).
% 46.18/13.33 cnf(d38, plain, 'min$uprecedes'(sK170(sK175,sK176),sK171(sK175,sK176),tptp0), inference(resolution, [status(thm)], [d4,c35])).
% 46.18/13.33 cnf(d39, plain, precedes(sK170(sK175,sK176),sK171(sK175,sK176)), inference(resolution, [status(thm)], [d38,c25])).
% 46.18/13.33 cnf(d40, plain, earlier(sK170(sK175,sK176),sK171(sK175,sK176)), inference(resolution, [status(thm)], [d39,c13])).
% 46.18/13.33 cnf(d41, plain, ~earlier(sK171(sK175,sK176),sK170(sK175,sK176)), inference(resolution, [status(thm)], [d40,c6])).
% 46.18/13.33 cnf(d42, plain, $false, inference(resolution, [status(thm)], [d41,d37])).
% 46.18/13.33 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------