%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PRO009+2 : 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 : n003.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 08:20:41 AM UTC 2026
% Result : Theorem 27.86s 5.39s
% Output : CNFRefutation 27.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO009+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 04:59:53 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.86/5.39 % SZS status Theorem for theBenchmark.p
% 27.86/5.39 % SZS output start CNFRefutation for theBenchmark.p
% 27.86/5.39 fof(sos, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('min$uprecedes'(X0,X1,X3) & 'min$uprecedes'(X1,X2,X3)) => 'min$uprecedes'(X0,X2,X3)))).
% 27.86/5.39 fof(sos_04, axiom, ! [X0] : ! [X1] : ! [X2] : (('next$usubocc'(X0,X1,X2) <=> ('min$uprecedes'(X0,X1,X2) & ~? [X3] : (('min$uprecedes'(X0,X3,X2) & 'min$uprecedes'(X3,X1,X2))))))).
% 27.86/5.39 fof(sos_32, axiom, ! [X0] : (('occurrence$uof'(X0,tptp0) => ? [X1] : ? [X2] : ? [X3] : (('occurrence$uof'(X1,tptp3) & ('root$uocc'(X1,X0) & ('occurrence$uof'(X2,tptp4) & ('next$usubocc'(X1,X2,tptp0) & (('occurrence$uof'(X3,tptp2) | 'occurrence$uof'(X3,tptp1)) & ('next$usubocc'(X2,X3,tptp0) & 'leaf$uocc'(X3,X0))))))))))).
% 27.86/5.39 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$uocc'(X2,X0))))))))).
% 27.86/5.39 fof(negated_conjecture, negated_conjecture, ~! [X0] : (('occurrence$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])).
% 27.86/5.39 cnf(c0, plain, ~'min$uprecedes'(X0,X1,X2) | ~'min$uprecedes'(X3,X0,X2) | 'min$uprecedes'(X3,X1,X2), inference(clausification, [status(esa)], [sos])).
% 27.86/5.39 cnf(c4, plain, ~'next$usubocc'(X0,X1,X2) | 'min$uprecedes'(X0,X1,X2), inference(clausification, [status(esa)], [sos_04])).
% 27.86/5.39 cnf(c63, plain, ~'occurrence$uof'(X0,tptp0) | X1(X0), inference(clausification, [status(esa)], [sos_32])).
% 27.86/5.39 cnf(c64, plain, ~X0(X1) | 'occurrence$uof'(sK103(X1),tptp3), inference(clausification, [status(esa)], [sos_32])).
% 27.86/5.39 cnf(c66, plain, ~X0(X1) | 'occurrence$uof'(sK105(X1),tptp2) | 'occurrence$uof'(sK105(X1),tptp1), inference(clausification, [status(esa)], [sos_32])).
% 27.86/5.39 cnf(c67, plain, ~X0(X1) | 'leaf$uocc'(sK105(X1),X1), inference(clausification, [status(esa)], [sos_32])).
% 27.86/5.39 cnf(c68, plain, ~X0(X1) | 'next$usubocc'(sK104(X1),sK105(X1),tptp0), inference(clausification, [status(esa)], [sos_32])).
% 27.86/5.39 cnf(c69, plain, ~X0(X1) | 'next$usubocc'(sK103(X1),sK104(X1),tptp0), inference(clausification, [status(esa)], [sos_32])).
% 27.86/5.39 cnf(c70, plain, ~X0(X1) | 'root$uocc'(sK103(X1),X1), inference(clausification, [status(esa)], [sos_32])).
% 27.86/5.39 cnf(c83, plain, 'occurrence$uof'(sK106,tptp0), inference(clausification, [status(esa)], [negated_conjecture])).
% 27.86/5.39 cnf(c84, plain, ~'occurrence$uof'(X0,tptp3) | ~'min$uprecedes'(X0,X1,tptp0) | ~'leaf$uocc'(X1,sK106) | ~'occurrence$uof'(X1,tptp2) | ~'root$uocc'(X0,sK106), inference(clausification, [status(esa)], [negated_conjecture])).
% 27.86/5.39 cnf(c85, plain, ~'occurrence$uof'(X0,tptp3) | ~'min$uprecedes'(X0,X1,tptp0) | ~'occurrence$uof'(X1,tptp1) | ~'leaf$uocc'(X1,sK106) | ~'root$uocc'(X0,sK106), inference(clausification, [status(esa)], [negated_conjecture])).
% 27.86/5.39 cnf(d0, plain, 'Ts101'(sK106), inference(resolution, [status(thm)], [c63,c83])).
% 27.86/5.39 cnf(d1, plain, 'occurrence$uof'(sK105(sK106),tptp1) | 'occurrence$uof'(sK105(sK106),tptp2), inference(resolution, [status(thm)], [c66,d0])).
% 27.86/5.39 cnf(d2, plain, 'next$usubocc'(sK104(sK106),sK105(sK106),tptp0), inference(resolution, [status(thm)], [c68,d0])).
% 27.86/5.39 cnf(d3, plain, 'min$uprecedes'(sK104(sK106),sK105(sK106),tptp0), inference(resolution, [status(thm)], [d2,c4])).
% 27.86/5.39 cnf(d4, plain, 'next$usubocc'(sK103(sK106),sK104(sK106),tptp0), inference(resolution, [status(thm)], [c69,d0])).
% 27.86/5.39 cnf(d5, plain, 'min$uprecedes'(sK103(sK106),sK104(sK106),tptp0), inference(resolution, [status(thm)], [d4,c4])).
% 27.86/5.39 cnf(d6, plain, 'min$uprecedes'(sK103(sK106),X0,tptp0) | ~'min$uprecedes'(sK104(sK106),X0,tptp0), inference(resolution, [status(thm)], [d5,c0])).
% 27.86/5.39 cnf(d7, plain, 'min$uprecedes'(sK103(sK106),sK105(sK106),tptp0), inference(resolution, [status(thm)], [d6,d3])).
% 27.86/5.39 cnf(d8, plain, ~'root$uocc'(sK103(sK106),sK106) | ~'occurrence$uof'(sK105(sK106),tptp2) | ~'occurrence$uof'(sK103(sK106),tptp3) | ~'leaf$uocc'(sK105(sK106),sK106), inference(resolution, [status(thm)], [d7,c84])).
% 27.86/5.39 cnf(d9, plain, 'occurrence$uof'(sK103(sK106),tptp3), inference(resolution, [status(thm)], [c64,d0])).
% 27.86/5.39 cnf(d10, plain, ~'root$uocc'(sK103(sK106),sK106) | ~'occurrence$uof'(sK105(sK106),tptp2) | ~'leaf$uocc'(sK105(sK106),sK106), inference(resolution, [status(thm)], [d9,d8])).
% 27.86/5.39 cnf(d11, plain, 'leaf$uocc'(sK105(sK106),sK106), inference(resolution, [status(thm)], [c67,d0])).
% 27.86/5.39 cnf(d12, plain, ~'root$uocc'(sK103(sK106),sK106) | ~'occurrence$uof'(sK105(sK106),tptp2), inference(resolution, [status(thm)], [d11,d10])).
% 27.86/5.39 cnf(d13, plain, 'root$uocc'(sK103(sK106),sK106), inference(resolution, [status(thm)], [c70,d0])).
% 27.86/5.39 cnf(d14, plain, ~'occurrence$uof'(sK105(sK106),tptp2), inference(resolution, [status(thm)], [d13,d12])).
% 27.86/5.39 cnf(d15, plain, 'occurrence$uof'(sK105(sK106),tptp1), inference(resolution, [status(thm)], [d14,d1])).
% 27.86/5.39 cnf(d16, plain, ~'root$uocc'(sK103(sK106),sK106) | ~'occurrence$uof'(sK105(sK106),tptp1) | ~'occurrence$uof'(sK103(sK106),tptp3) | ~'leaf$uocc'(sK105(sK106),sK106), inference(resolution, [status(thm)], [d7,c85])).
% 27.86/5.39 cnf(d17, plain, ~'root$uocc'(sK103(sK106),sK106) | ~'occurrence$uof'(sK105(sK106),tptp1) | ~'leaf$uocc'(sK105(sK106),sK106), inference(resolution, [status(thm)], [d9,d16])).
% 27.86/5.39 cnf(d18, plain, ~'root$uocc'(sK103(sK106),sK106) | ~'occurrence$uof'(sK105(sK106),tptp1), inference(resolution, [status(thm)], [d11,d17])).
% 27.86/5.39 cnf(d19, plain, ~'occurrence$uof'(sK105(sK106),tptp1), inference(resolution, [status(thm)], [d13,d18])).
% 27.86/5.39 cnf(d20, plain, $false, inference(resolution, [status(thm)], [d19,d15])).
% 27.86/5.39 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------