%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PRO010+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 08:20:42 AM UTC 2026
% Result : Theorem 12.61s 2.46s
% Output : CNFRefutation 12.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO010+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 04:59:09 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.61/2.46 % SZS status Theorem for theBenchmark.p
% 12.61/2.46 % SZS output start CNFRefutation for theBenchmark.p
% 12.61/2.46 fof(sos_08, axiom, ! [X0] : ! [X1] : ! [X2] : ((('occurrence$uof'(X0,X1) & 'occurrence$uof'(X0,X2)) => X1 = X2))).
% 12.61/2.46 fof(sos_15, axiom, ! [X0] : ! [X1] : ((leaf(X0,X1) <=> ((root(X0,X1) | ? [X2] : 'min$uprecedes'(X2,X0,X1)) & ~? [X3] : 'min$uprecedes'(X0,X3,X1))))).
% 12.61/2.46 fof(sos_18, axiom, ! [X0] : ! [X1] : (('leaf$uocc'(X0,X1) <=> ? [X2] : (('occurrence$uof'(X1,X2) & ('subactivity$uoccurrence'(X0,X1) & leaf(X0,X2))))))).
% 12.61/2.46 fof(sos_32, axiom, ! [X0] : (('occurrence$uof'(X0,tptp0) => ? [X1] : ? [X2] : ? [X3] : (('occurrence$uof'(X1,tptp3) & ('root$uocc'(X1,X0) & ('occurrence$uof'(X2,tptp4) & ('next$usubocc'(X1,X2,tptp0) & (('occurrence$uof'(X3,tptp1) | 'occurrence$uof'(X3,tptp2)) & ('next$usubocc'(X2,X3,tptp0) & 'leaf$uocc'(X3,X0))))))))))).
% 12.61/2.46 fof(goals, conjecture, ! [X0] : (('occurrence$uof'(X0,tptp0) => ? [X1] : ? [X2] : (('leaf$uocc'(X2,X0) & (('occurrence$uof'(X2,tptp1) => ~? [X3] : (('occurrence$uof'(X3,tptp2) & 'min$uprecedes'(X1,X3,tptp0)))) & ('occurrence$uof'(X2,tptp2) => ~? [X4] : (('occurrence$uof'(X4,tptp1) & 'min$uprecedes'(X1,X4,tptp0)))))))))).
% 12.61/2.46 fof(negated_conjecture, negated_conjecture, ~! [X0] : (('occurrence$uof'(X0,tptp0) => ? [X1] : ? [X2] : (('leaf$uocc'(X2,X0) & (('occurrence$uof'(X2,tptp1) => ~? [X3] : (('occurrence$uof'(X3,tptp2) & 'min$uprecedes'(X1,X3,tptp0)))) & ('occurrence$uof'(X2,tptp2) => ~? [X4] : (('occurrence$uof'(X4,tptp1) & 'min$uprecedes'(X1,X4,tptp0))))))))), inference(negate_conjecture, [status(cth)], [goals])).
% 12.61/2.46 cnf(c14, plain, ~'occurrence$uof'(X0,X1) | ~'occurrence$uof'(X0,X2) | X1 = X2, inference(clausification, [status(esa)], [sos_08])).
% 12.61/2.46 cnf(c27, plain, ~leaf(X0,X1) | ~'min$uprecedes'(X0,X2,X1), inference(clausification, [status(esa)], [sos_15])).
% 12.61/2.46 cnf(c33, plain, ~'leaf$uocc'(X0,X1) | 'occurrence$uof'(X1,sK60(X0,X1)), inference(clausification, [status(esa)], [sos_18])).
% 12.61/2.46 cnf(c35, plain, ~'leaf$uocc'(X0,X1) | leaf(X0,sK60(X0,X1)), inference(clausification, [status(esa)], [sos_18])).
% 12.61/2.46 cnf(c60, plain, ~'occurrence$uof'(X0,tptp0) | X1(X0), inference(clausification, [status(esa)], [sos_32])).
% 12.61/2.46 cnf(c67, plain, ~X0(X1) | 'leaf$uocc'(sK111(X1),X1), inference(clausification, [status(esa)], [sos_32])).
% 12.61/2.46 cnf(c80, plain, 'occurrence$uof'(sK113,tptp0), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.61/2.46 cnf(c83, plain, ~'leaf$uocc'(X0,sK113) | ~X1(X2,X0) | 'min$uprecedes'(X2,sK116(X2),tptp0), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.61/2.46 cnf(c86, plain, X0(X1,X2) | 'min$uprecedes'(X1,sK117(X1),tptp0), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.61/2.46 cnf(d0, plain, ~leaf(X0,tptp0) | 'Ts112'(X0,X1), inference(resolution, [status(thm)], [c27,c86])).
% 12.61/2.46 cnf(d1, plain, tptp0 = X0 | ~'occurrence$uof'(sK113,X0), inference(resolution, [status(thm)], [c14,c80])).
% 12.61/2.46 cnf(d2, plain, ~'leaf$uocc'(X0,sK113) | tptp0 = sK60(X0,sK113), inference(resolution, [status(thm)], [c33,d1])).
% 12.61/2.46 cnf(d3, plain, ~'Ts107'(sK113) | tptp0 = sK60(sK111(sK113),sK113), inference(resolution, [status(thm)], [c67,d2])).
% 12.61/2.46 cnf(d4, plain, 'Ts107'(sK113), inference(resolution, [status(thm)], [c60,c80])).
% 12.61/2.46 cnf(d5, plain, tptp0 = sK60(sK111(sK113),sK113), inference(resolution, [status(thm)], [d4,d3])).
% 12.61/2.46 cnf(d6, plain, leaf(sK111(sK113),tptp0) | ~'leaf$uocc'(sK111(sK113),sK113), inference(superposition, [status(thm)], [d5,c35])).
% 12.61/2.46 cnf(d7, plain, leaf(sK111(sK113),tptp0) | ~'Ts107'(sK113), inference(resolution, [status(thm)], [d6,c67])).
% 12.61/2.46 cnf(d8, plain, leaf(sK111(sK113),tptp0), inference(resolution, [status(thm)], [d4,d7])).
% 12.61/2.46 cnf(d9, plain, 'Ts112'(sK111(sK113),X0), inference(resolution, [status(thm)], [d8,d0])).
% 12.61/2.46 cnf(d10, plain, ~'leaf$uocc'(X0,sK113) | 'min$uprecedes'(sK111(sK113),sK116(sK111(sK113)),tptp0), inference(resolution, [status(thm)], [d9,c83])).
% 12.61/2.46 cnf(d11, plain, 'min$uprecedes'(sK111(sK113),sK116(sK111(sK113)),tptp0) | ~'Ts107'(sK113), inference(resolution, [status(thm)], [d10,c67])).
% 12.61/2.46 cnf(d12, plain, 'min$uprecedes'(sK111(sK113),sK116(sK111(sK113)),tptp0), inference(resolution, [status(thm)], [d4,d11])).
% 12.61/2.46 cnf(d13, plain, ~leaf(sK111(sK113),tptp0), inference(resolution, [status(thm)], [d12,c27])).
% 12.61/2.46 cnf(d14, plain, $false, inference(resolution, [status(thm)], [d8,d13])).
% 12.61/2.46 % SZS output end CNFRefutation for theBenchmark.p
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