%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PRO017+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 : 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 254.58s 36.92s
% Output : CNFRefutation 254.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO017+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
% 0.09/0.57 % Computer : n008.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Sat Sep 26 05:01:42 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.09/0.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 254.58/36.92 % SZS status Theorem for theBenchmark.p
% 254.58/36.92 % SZS output start CNFRefutation for theBenchmark.p
% 254.58/36.92 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))))))).
% 254.58/36.92 fof(sos_08, axiom, ! [X0] : ! [X1] : ! [X2] : ((('occurrence$uof'(X0,X1) & 'occurrence$uof'(X0,X2)) => X1 = X2))).
% 254.58/36.92 fof(sos_09, axiom, ! [X0] : ! [X1] : ! [X2] : ((('occurrence$uof'(X0,X2) & 'leaf$uocc'(X1,X0)) => ~? [X3] : 'min$uprecedes'(X1,X3,X2)))).
% 254.58/36.92 fof(sos_25, axiom, ! [X0] : ! [X1] : ! [X2] : (('next$usubocc'(X0,X1,X2) => (arboreal(X0) & arboreal(X1))))).
% 254.58/36.92 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))))))).
% 254.58/36.92 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,tptp2) | 'occurrence$uof'(X4,tptp1)) & ('min$uprecedes'(X3,X4,tptp0) & ! [X5] : (('min$uprecedes'(X2,X5,tptp0) => (X5 = X3 | X5 = X4))))))))))))).
% 254.58/36.92 fof(sos_39, axiom, tptp4 != tptp3).
% 254.58/36.92 fof(sos_42, axiom, tptp3 != tptp2).
% 254.58/36.92 fof(sos_43, axiom, tptp3 != tptp1).
% 254.58/36.92 fof(goals, conjecture, ! [X0] : ! [X1] : ((('occurrence$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$uof'(X3,tptp2) | 'occurrence$uof'(X3,tptp1)) & ('min$uprecedes'(X2,X3,tptp0) & leaf(X3,tptp0))))))))).
% 254.58/36.92 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((('occurrence$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$uof'(X3,tptp2) | 'occurrence$uof'(X3,tptp1)) & ('min$uprecedes'(X2,X3,tptp0) & leaf(X3,tptp0)))))))), inference(negate_conjecture, [status(cth)], [goals])).
% 254.58/36.92 cnf(c9, plain, ~'min$uprecedes'(X0,X1,X2) | 'occurrence$uof'(sK24(X2,X0,X1),X2), inference(clausification, [status(esa)], [sos_06])).
% 254.58/36.92 cnf(c10, plain, ~'min$uprecedes'(X0,X1,X2) | 'subactivity$uoccurrence'(X1,sK24(X2,X0,X1)), inference(clausification, [status(esa)], [sos_06])).
% 254.58/36.92 cnf(c14, plain, ~'occurrence$uof'(X0,X1) | ~'occurrence$uof'(X0,X2) | X1 = X2, inference(clausification, [status(esa)], [sos_08])).
% 254.58/36.92 cnf(c15, plain, ~'leaf$uocc'(X0,X1) | ~'occurrence$uof'(X1,X2) | ~'min$uprecedes'(X0,X3,X2), inference(clausification, [status(esa)], [sos_09])).
% 254.58/36.92 cnf(c50, plain, ~'next$usubocc'(X0,X1,X2) | arboreal(X1), inference(clausification, [status(esa)], [sos_25])).
% 254.58/36.92 cnf(c51, plain, ~'next$usubocc'(X0,X1,X2) | 'min$uprecedes'(X0,X1,X2), inference(clausification, [status(esa)], [sos_26])).
% 254.58/36.92 cnf(c60, plain, ~'subactivity$uoccurrence'(X0,X1) | ~arboreal(X0) | X2(X0) | 'leaf$uocc'(X0,X1) | ~'occurrence$uof'(X1,tptp0), inference(clausification, [status(esa)], [sos_32])).
% 254.58/36.92 cnf(c61, plain, ~X0(X1) | 'occurrence$uof'(sK110(X1),tptp3), inference(clausification, [status(esa)], [sos_32])).
% 254.58/36.92 cnf(c62, plain, ~X0(X1) | 'occurrence$uof'(sK111(X1),tptp4), inference(clausification, [status(esa)], [sos_32])).
% 254.58/36.92 cnf(c63, plain, ~X0(X1) | 'occurrence$uof'(sK112(X1),tptp2) | 'occurrence$uof'(sK112(X1),tptp1), inference(clausification, [status(esa)], [sos_32])).
% 254.58/36.92 cnf(c64, plain, ~X0(X1) | ~'min$uprecedes'(sK110(X1),X2,tptp0) | sK112(X1) = X2 | sK111(X1) = X2, inference(clausification, [status(esa)], [sos_32])).
% 254.58/36.92 cnf(c66, plain, ~X0(X1) | 'min$uprecedes'(sK110(X1),sK111(X1),tptp0), inference(clausification, [status(esa)], [sos_32])).
% 254.58/36.92 cnf(c67, plain, ~X0(X1) | 'next$usubocc'(X1,sK110(X1),tptp0), inference(clausification, [status(esa)], [sos_32])).
% 254.58/36.92 cnf(c74, plain, tptp4 != tptp3, inference(clausification, [status(esa)], [sos_39])).
% 254.58/36.92 cnf(c77, plain, tptp2 != tptp3, inference(clausification, [status(esa)], [sos_42])).
% 254.58/36.92 cnf(c78, plain, tptp1 != tptp3, inference(clausification, [status(esa)], [sos_43])).
% 254.58/36.92 cnf(c80, plain, 'subactivity$uoccurrence'(sK114,sK115), inference(clausification, [status(esa)], [negated_conjecture])).
% 254.58/36.92 cnf(c81, plain, ~'leaf$uocc'(sK114,sK115), inference(clausification, [status(esa)], [negated_conjecture])).
% 254.58/36.92 cnf(c82, plain, arboreal(sK114), inference(clausification, [status(esa)], [negated_conjecture])).
% 254.58/36.92 cnf(c83, plain, 'occurrence$uof'(sK115,tptp0), inference(clausification, [status(esa)], [negated_conjecture])).
% 254.58/36.92 cnf(d0, plain, ~'subactivity$uoccurrence'(X0,sK115) | 'leaf$uocc'(X0,sK115) | ~arboreal(X0) | 'Ts107'(X0), inference(resolution, [status(thm)], [c60,c83])).
% 254.58/36.92 cnf(d1, plain, 'leaf$uocc'(sK114,sK115) | ~arboreal(sK114) | 'Ts107'(sK114), inference(resolution, [status(thm)], [d0,c80])).
% 254.58/36.92 cnf(d2, plain, 'leaf$uocc'(sK114,sK115) | 'Ts107'(sK114), inference(resolution, [status(thm)], [c82,d1])).
% 254.58/36.92 cnf(d3, plain, 'Ts107'(sK114), inference(resolution, [status(thm)], [c81,d2])).
% 254.58/36.92 cnf(d4, plain, 'occurrence$uof'(sK112(sK114),tptp2) | 'occurrence$uof'(sK112(sK114),tptp1), inference(resolution, [status(thm)], [d3,c63])).
% 254.58/36.92 cnf(d5, plain, 'occurrence$uof'(sK112(sK114),tptp1) | tptp2 = X0 | ~'occurrence$uof'(sK112(sK114),X0), inference(resolution, [status(thm)], [d4,c14])).
% 254.58/36.92 cnf(d6, plain, 'occurrence$uof'(sK111(sK114),tptp4), inference(resolution, [status(thm)], [d3,c62])).
% 254.58/36.92 cnf(d7, plain, tptp4 = X0 | ~'occurrence$uof'(sK111(sK114),X0), inference(resolution, [status(thm)], [d6,c14])).
% 254.58/36.92 cnf(d8, plain, 'min$uprecedes'(sK110(sK114),sK111(sK114),tptp0), inference(resolution, [status(thm)], [d3,c66])).
% 254.58/36.92 cnf(d9, plain, 'next$usubocc'(sK114,sK110(sK114),tptp0), inference(resolution, [status(thm)], [d3,c67])).
% 254.58/36.92 cnf(d10, plain, 'min$uprecedes'(sK114,sK110(sK114),tptp0), inference(resolution, [status(thm)], [d9,c51])).
% 254.58/36.92 cnf(d11, plain, 'occurrence$uof'(sK24(tptp0,sK114,sK110(sK114)),tptp0), inference(resolution, [status(thm)], [d10,c9])).
% 254.58/36.92 cnf(d12, plain, ~'leaf$uocc'(X0,sK24(tptp0,sK114,sK110(sK114))) | ~'min$uprecedes'(X0,X1,tptp0), inference(resolution, [status(thm)], [d11,c15])).
% 254.58/36.92 cnf(d13, plain, 'subactivity$uoccurrence'(sK110(sK114),sK24(tptp0,sK114,sK110(sK114))), inference(resolution, [status(thm)], [d10,c10])).
% 254.58/36.92 cnf(d14, plain, ~'subactivity$uoccurrence'(X0,sK24(tptp0,sK114,sK110(sK114))) | 'leaf$uocc'(X0,sK24(tptp0,sK114,sK110(sK114))) | ~arboreal(X0) | 'Ts107'(X0), inference(resolution, [status(thm)], [d11,c60])).
% 254.58/36.92 cnf(d15, plain, 'leaf$uocc'(sK110(sK114),sK24(tptp0,sK114,sK110(sK114))) | ~arboreal(sK110(sK114)) | 'Ts107'(sK110(sK114)), inference(resolution, [status(thm)], [d14,d13])).
% 254.58/36.92 cnf(d16, plain, arboreal(sK110(sK114)), inference(resolution, [status(thm)], [d9,c50])).
% 254.58/36.92 cnf(d17, plain, 'leaf$uocc'(sK110(sK114),sK24(tptp0,sK114,sK110(sK114))) | 'Ts107'(sK110(sK114)), inference(resolution, [status(thm)], [d16,d15])).
% 254.58/36.92 cnf(d18, plain, 'Ts107'(sK110(sK114)) | ~'min$uprecedes'(sK110(sK114),X0,tptp0), inference(resolution, [status(thm)], [d17,d12])).
% 254.58/36.92 cnf(d19, plain, 'Ts107'(sK110(sK114)), inference(resolution, [status(thm)], [d18,d8])).
% 254.58/36.92 cnf(d20, plain, 'occurrence$uof'(sK110(sK110(sK114)),tptp3), inference(resolution, [status(thm)], [d19,c61])).
% 254.58/36.92 cnf(d21, plain, 'next$usubocc'(sK110(sK114),sK110(sK110(sK114)),tptp0), inference(resolution, [status(thm)], [d19,c67])).
% 254.58/36.92 cnf(d22, plain, 'min$uprecedes'(sK110(sK114),sK110(sK110(sK114)),tptp0), inference(resolution, [status(thm)], [d21,c51])).
% 254.58/36.92 cnf(d23, plain, sK111(sK114) = sK110(sK110(sK114)) | sK112(sK114) = sK110(sK110(sK114)) | ~'Ts107'(sK114), inference(resolution, [status(thm)], [d22,c64])).
% 254.58/36.92 cnf(d24, plain, sK111(sK114) = sK110(sK110(sK114)) | sK112(sK114) = sK110(sK110(sK114)), inference(resolution, [status(thm)], [d3,d23])).
% 254.58/36.92 cnf(d25, plain, 'occurrence$uof'(sK111(sK114),tptp3) | sK112(sK114) = sK110(sK110(sK114)), inference(superposition, [status(thm)], [d24,d20])).
% 254.58/36.92 cnf(d26, plain, 'occurrence$uof'(sK112(sK114),tptp3) | 'occurrence$uof'(sK111(sK114),tptp3), inference(superposition, [status(thm)], [d25,d20])).
% 254.58/36.92 cnf(d27, plain, 'occurrence$uof'(sK112(sK114),tptp3) | tptp4 = tptp3, inference(resolution, [status(thm)], [d26,d7])).
% 254.58/36.92 cnf(d28, plain, 'occurrence$uof'(sK112(sK114),tptp3), inference(resolution, [status(thm)], [c74,d27])).
% 254.58/36.92 cnf(d29, plain, tptp2 = tptp3 | 'occurrence$uof'(sK112(sK114),tptp1), inference(resolution, [status(thm)], [d28,d5])).
% 254.58/36.92 cnf(d30, plain, 'occurrence$uof'(sK112(sK114),tptp1), inference(resolution, [status(thm)], [c77,d29])).
% 254.58/36.92 cnf(d31, plain, tptp3 = X0 | ~'occurrence$uof'(sK112(sK114),X0), inference(resolution, [status(thm)], [d28,c14])).
% 254.58/36.92 cnf(d32, plain, tptp3 = tptp1, inference(resolution, [status(thm)], [d31,d30])).
% 254.58/36.92 cnf(d33, plain, tptp3 != tptp3, inference(demodulation, [status(thm)], [c78,d32])).
% 254.58/36.92 cnf(d34, plain, $false, inference(equality_resolution, [status(thm)], [d33])).
% 254.58/36.92 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------