%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL009-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 : Thu Sep 24 12:08:55 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 14:04:59 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.52 % Refutation found
% 0.10/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.52 fof(f1,axiom,(
% 0.10/0.52 (![X,Y,Z]: (apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)) ))),
% 0.10/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f2,axiom,(
% 0.10/0.52 (![X,Y]: (apply(apply(l2,X),Y) = apply(Y,apply(X,X)) ))),
% 0.10/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f3,negated_conjecture,(
% 0.10/0.52 (![Y]: (Y != apply(combinator,Y) ))),
% 0.10/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.52 fof(f4,plain,(
% 0.10/0.52 ![X0,X1,X2]: (apply(apply(apply(b,X0),X1),X2)=apply(X0,apply(X1,X2)))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.52 fof(f5,plain,(
% 0.10/0.52 ![X0,X1]: (apply(apply(l2,X0),X1)=apply(X1,apply(X0,X0)))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.52 fof(f6,plain,(
% 0.10/0.52 ![X0]: (~X0=apply(combinator,X0))),
% 0.10/0.52 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.52 fof(f7,definition,(
% 0.10/0.52 ![X0]: (sF0_fnc(X0)=apply(combinator,X0))),
% 0.10/0.52 introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition])).
% 0.10/0.52 fof(f8,plain,(
% 0.10/0.52 ![X0]: (~X0=sF0_fnc(X0))),
% 0.10/0.52 inference(definition_folding,[],[f6,f7])).
% 0.10/0.52 fof(f147,plain,(
% 0.10/0.52 ![X0,X1,X2]: (apply(apply(l2,X0),apply(apply(b,X1),X2))=apply(X1,apply(X2,apply(X0,X0))))),
% 0.10/0.52 inference(paramodulation,[status(thm)],[f5,f4])).
% 0.10/0.52 fof(f161,plain,(
% 0.10/0.52 ![X0,X1,X2]: (apply(apply(l2,apply(apply(b,X0),X1)),X2)=apply(X2,apply(X0,apply(X1,apply(apply(b,X0),X1)))))),
% 0.10/0.52 inference(paramodulation,[status(thm)],[f4,f5])).
% 0.10/0.52 fof(f629,plain,(
% 0.10/0.52 ![X0,X1]: (apply(apply(l2,X0),apply(apply(b,combinator),X1))=sF0_fnc(apply(X1,apply(X0,X0))))),
% 0.10/0.52 inference(paramodulation,[status(thm)],[f7,f147])).
% 0.10/0.52 fof(f2056,plain,(
% 0.10/0.52 ![X0,X1]: (~apply(X0,apply(X1,X1))=apply(apply(l2,X1),apply(apply(b,combinator),X0)))),
% 0.10/0.52 inference(paramodulation,[status(thm)],[f629,f8])).
% 0.10/0.52 fof(f2128,plain,(
% 0.10/0.52 ![X0,X1]: (~apply(apply(X0,apply(apply(b,apply(b,combinator)),X0)),apply(X1,X1))=apply(apply(l2,apply(apply(b,apply(b,combinator)),X0)),apply(l2,X1)))),
% 0.10/0.52 inference(paramodulation,[status(thm)],[f161,f2056])).
% 0.10/0.52 fof(f2161,plain,(
% 0.10/0.52 $false),
% 0.10/0.52 inference(destructive_equality_resolution,[status(thm)],[f2128])).
% 0.10/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.52 % Elapsed time: 0.146559 seconds
% 0.10/0.52 % CPU time: 1.033191 seconds
% 0.10/0.52 % Total memory used: 29.765 MB
% 0.10/0.52 % Net memory used: 29.333 MB
%------------------------------------------------------------------------------