%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL053-1 : 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 : 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 : Thu Sep 24 12:09:01 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL053-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.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 : Mon Sep 21 14:08:31 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.38 fof(f1,axiom,(
% 0.09/0.38 (![X,Y,W]: (response(compose(X,Y),W) = response(X,response(Y,W)) ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f2,negated_conjecture,(
% 0.09/0.38 (![U]: (response(U,f(U)) != response(a,response(b,response(c,f(U)))) ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f3,plain,(
% 0.09/0.38 ![X0,X1,X2]: (response(compose(X0,X1),X2)=response(X0,response(X1,X2)))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.38 fof(f4,plain,(
% 0.09/0.38 ![X0]: (~response(X0,f(X0))=response(a,response(b,response(c,f(X0)))))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.38 fof(f5,definition,(
% 0.09/0.38 ![X0]: (sF0_fnc(X0)=response(X0,f(X0)))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition])).
% 0.09/0.38 fof(f6,definition,(
% 0.09/0.38 ![X0]: (sF3_fnc(X0)=response(c,f(X0)))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sF3_fnc(X0)])],[function_definition])).
% 0.09/0.38 fof(f7,definition,(
% 0.09/0.38 ![X0]: (sF2_fnc(X0)=response(b,sF3_fnc(X0)))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sF2_fnc(X0)])],[function_definition])).
% 0.09/0.38 fof(f8,definition,(
% 0.09/0.38 ![X0]: (sF1_fnc(X0)=response(a,sF2_fnc(X0)))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sF1_fnc(X0)])],[function_definition])).
% 0.09/0.38 fof(f9,plain,(
% 0.09/0.38 ![X0]: (~sF0_fnc(X0)=sF1_fnc(X0))),
% 0.09/0.38 inference(definition_folding,[],[f4,f8,f7,f6,f5])).
% 0.09/0.38 fof(f13,plain,(
% 0.09/0.38 ![X0,X1]: (sF0_fnc(compose(X0,X1))=response(X0,response(X1,f(compose(X0,X1)))))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f5,f3])).
% 0.09/0.38 fof(f15,plain,(
% 0.09/0.38 ![X0,X1,X2]: (sF0_fnc(compose(compose(X0,X1),X2))=response(X0,response(X1,response(X2,f(compose(compose(X0,X1),X2))))))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f3,f13])).
% 0.09/0.38 fof(f22,plain,(
% 0.09/0.38 ![X0,X1]: (sF0_fnc(compose(compose(X0,X1),c))=response(X0,response(X1,sF3_fnc(compose(compose(X0,X1),c)))))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f6,f15])).
% 0.09/0.38 fof(f31,plain,(
% 0.09/0.38 ![X0]: (sF0_fnc(compose(compose(X0,b),c))=response(X0,sF2_fnc(compose(compose(X0,b),c))))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f7,f22])).
% 0.09/0.38 fof(f34,plain,(
% 0.09/0.38 sF0_fnc(compose(compose(a,b),c))=sF1_fnc(compose(compose(a,b),c))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f8,f31])).
% 0.09/0.38 fof(f37,plain,(
% 0.09/0.38 $false),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f34,f9])).
% 0.09/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.032213 seconds
% 0.13/0.40 % CPU time: 0.036014 seconds
% 0.13/0.40 % Total memory used: 642.512 KB
% 0.13/0.40 % Net memory used: 587.808 KB
%------------------------------------------------------------------------------