%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL029-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 12:08:57 PM UTC 2026
% Result : Unsatisfiable 0.10s 5.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL029-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.55 % Computer : n010.cluster.edu
% 0.10/5.55 % Model : x86_64 x86_64
% 0.10/5.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.55 % Memory : 8046.5625MB
% 0.10/5.55 % OS : Linux 6.8.0-71-generic
% 0.10/5.55 % CPULimit : 300
% 0.10/5.55 % WCLimit : 300
% 0.10/5.55 % DateTime : Mon Sep 21 14:06:08 UTC 2026
% 0.10/5.56 % CPUTime :
% 0.10/5.56 % Drodi V4.1.1
% 0.10/5.57 % Refutation found
% 0.10/5.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/5.57 % SZS output start CNFRefutation for theBenchmark
% 0.10/5.57 fof(f1,axiom,(
% 0.10/5.57 (![X,Y]: (apply(apply(u,X),Y) = apply(Y,apply(apply(X,X),Y)) ))),
% 0.10/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.57 fof(f2,negated_conjecture,(
% 0.10/5.57 (![Y]: (apply(Y,f(Y)) != apply(f(Y),apply(Y,f(Y))) ))),
% 0.10/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.57 fof(f3,plain,(
% 0.10/5.57 ![X0,X1]: (apply(apply(u,X0),X1)=apply(X1,apply(apply(X0,X0),X1)))),
% 0.10/5.57 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/5.57 fof(f4,plain,(
% 0.10/5.57 ![X0]: (~apply(X0,f(X0))=apply(f(X0),apply(X0,f(X0))))),
% 0.10/5.57 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/5.57 fof(f5,definition,(
% 0.10/5.57 ![X0]: (sF0_fnc(X0)=apply(X0,f(X0)))),
% 0.10/5.57 introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition])).
% 0.10/5.57 fof(f6,definition,(
% 0.10/5.57 ![X0]: (sF1_fnc(X0)=apply(f(X0),sF0_fnc(X0)))),
% 0.10/5.57 introduced(definition,[new_symbols(definition,[sF1_fnc(X0)])],[function_definition])).
% 0.10/5.57 fof(f7,plain,(
% 0.10/5.57 ![X0]: (~sF0_fnc(X0)=sF1_fnc(X0))),
% 0.10/5.57 inference(definition_folding,[],[f4,f6,f5])).
% 0.10/5.57 fof(f9,plain,(
% 0.10/5.57 ![X0]: (apply(apply(u,X0),f(apply(X0,X0)))=apply(f(apply(X0,X0)),sF0_fnc(apply(X0,X0))))),
% 0.10/5.57 inference(paramodulation,[status(thm)],[f5,f3])).
% 0.10/5.57 fof(f10,plain,(
% 0.10/5.57 ![X0]: (apply(apply(u,X0),f(apply(X0,X0)))=sF1_fnc(apply(X0,X0)))),
% 0.10/5.57 inference(forward_demodulation,[status(thm)],[f6,f9])).
% 0.10/5.57 fof(f11,plain,(
% 0.10/5.57 sF0_fnc(apply(u,u))=sF1_fnc(apply(u,u))),
% 0.10/5.57 inference(paramodulation,[status(thm)],[f5,f10])).
% 0.10/5.57 fof(f16,plain,(
% 0.10/5.57 $false),
% 0.10/5.57 inference(forward_subsumption_resolution,[status(thm)],[f11,f7])).
% 0.10/5.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/5.59 % Elapsed time: 0.023337 seconds
% 0.10/5.59 % CPU time: 0.025601 seconds
% 0.10/5.59 % Total memory used: 198.528 KB
% 0.10/5.59 % Net memory used: 193.856 KB
%------------------------------------------------------------------------------