%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PRO010+3 : 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 : n007.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 14.47s 2.89s
% Output : CNFRefutation 14.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO010+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.36 % Computer : n007.cluster.edu
% 0.07/0.36 % Model : x86_64 x86_64
% 0.07/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.36 % Memory : 8046.5625MB
% 0.07/0.36 % OS : Linux 6.8.0-71-generic
% 0.07/0.36 % CPULimit : 300
% 0.07/0.36 % WCLimit : 300
% 0.07/0.36 % DateTime : Sat Sep 26 04:55:39 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.47/2.89 % SZS status Theorem for theBenchmark.p
% 14.47/2.89 % SZS output start CNFRefutation for theBenchmark.p
% 14.47/2.89 fof(sos_07, axiom, ! [X0] : ! [X1] : (('occurrence$uof'(X0,X1) => (arboreal(X0) <=> atomic(X1))))).
% 14.47/2.89 fof(sos_46, axiom, ! [X0] : ! [X1] : ! [X2] : (('min$uprecedes'(X0,X1,X2) => arboreal(X0)))).
% 14.47/2.89 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,tptp1) | 'occurrence$uof'(X3,tptp2)) & ('next$usubocc'(X2,X3,tptp0) & 'leaf$uocc'(X3,X0))))))))))).
% 14.47/2.89 fof(sos_51, axiom, ~atomic(tptp0)).
% 14.47/2.89 fof(goals, conjecture, ! [X0] : (('occurrence$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$uprecedes'(X1,X4,tptp0)))))))))).
% 14.47/2.89 fof(negated_conjecture, negated_conjecture, ~! [X0] : (('occurrence$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$uprecedes'(X1,X4,tptp0))))))))), inference(negate_conjecture, [status(cth)], [goals])).
% 14.47/2.89 cnf(c9, plain, ~'occurrence$uof'(X0,X1) | ~arboreal(X0) | atomic(X1), inference(clausification, [status(esa)], [sos_07])).
% 14.47/2.89 cnf(c79, plain, ~'min$uprecedes'(X0,X1,X2) | arboreal(X0), inference(clausification, [status(esa)], [sos_46])).
% 14.47/2.89 cnf(c82, plain, ~'occurrence$uof'(X0,tptp0) | X1(X0), inference(clausification, [status(esa)], [sos_49])).
% 14.47/2.89 cnf(c89, plain, ~X0(X1) | 'leaf$uocc'(sK171(X1),X1), inference(clausification, [status(esa)], [sos_49])).
% 14.47/2.89 cnf(c91, plain, ~atomic(tptp0), inference(clausification, [status(esa)], [sos_51])).
% 14.47/2.89 cnf(c102, plain, 'occurrence$uof'(sK173,tptp0), inference(clausification, [status(esa)], [negated_conjecture])).
% 14.47/2.89 cnf(c105, plain, ~'leaf$uocc'(X0,sK173) | ~X1(X2,X0) | 'min$uprecedes'(X2,sK176(X2),tptp0), inference(clausification, [status(esa)], [negated_conjecture])).
% 14.47/2.89 cnf(c108, plain, X0(X1,X2) | 'min$uprecedes'(X1,sK177(X1),tptp0), inference(clausification, [status(esa)], [negated_conjecture])).
% 14.47/2.89 cnf(d0, plain, ~arboreal(sK173) | atomic(tptp0), inference(resolution, [status(thm)], [c9,c102])).
% 14.47/2.89 cnf(d1, plain, ~arboreal(sK173), inference(resolution, [status(thm)], [c91,d0])).
% 14.47/2.89 cnf(d2, plain, arboreal(X0) | 'Ts172'(X0,X1), inference(resolution, [status(thm)], [c79,c108])).
% 14.47/2.89 cnf(d3, plain, arboreal(X0) | 'min$uprecedes'(X0,sK176(X0),tptp0) | ~'leaf$uocc'(X1,sK173), inference(resolution, [status(thm)], [d2,c105])).
% 14.47/2.89 cnf(d4, plain, arboreal(X0) | 'min$uprecedes'(X0,sK176(X0),tptp0) | ~'Ts167'(sK173), inference(resolution, [status(thm)], [d3,c89])).
% 14.47/2.89 cnf(d5, plain, 'Ts167'(sK173), inference(resolution, [status(thm)], [c82,c102])).
% 14.47/2.89 cnf(d6, plain, arboreal(X0) | 'min$uprecedes'(X0,sK176(X0),tptp0), inference(resolution, [status(thm)], [d5,d4])).
% 14.47/2.89 cnf(d7, plain, arboreal(X0) | arboreal(X0), inference(resolution, [status(thm)], [d6,c79])).
% 14.47/2.89 cnf(d8, plain, $false, inference(resolution, [status(thm)], [d7,d1])).
% 14.47/2.89 % SZS output end CNFRefutation for theBenchmark.p
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