%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL008-1 : 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 : n017.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 0.16s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : COL008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n017.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 14:00:13 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.48 % Refutation found
% 0.16/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.48 fof(f1,axiom,(
% 0.16/0.48 (![X,Y,Z]: (apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f2,axiom,(
% 0.16/0.48 (![X]: (apply(m,X) = apply(X,X) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f3,negated_conjecture,(
% 0.16/0.48 (![Y]: (Y != apply(combinator,Y) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f4,plain,(
% 0.16/0.48 ![X0,X1,X2]: (apply(apply(apply(b,X0),X1),X2)=apply(X0,apply(X1,X2)))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.16/0.48 fof(f5,plain,(
% 0.16/0.48 ![X0]: (apply(m,X0)=apply(X0,X0))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/0.48 fof(f6,plain,(
% 0.16/0.48 ![X0]: (~X0=apply(combinator,X0))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/0.48 fof(f7,definition,(
% 0.16/0.48 ![X0]: (sF0_fnc(X0)=apply(combinator,X0))),
% 0.16/0.48 introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition])).
% 0.16/0.48 fof(f8,plain,(
% 0.16/0.48 ![X0]: (~X0=sF0_fnc(X0))),
% 0.16/0.48 inference(definition_folding,[],[f6,f7])).
% 0.16/0.48 fof(f13,plain,(
% 0.16/0.48 ![X0,X1]: (apply(m,apply(apply(b,X0),X1))=apply(X0,apply(X1,apply(apply(b,X0),X1))))),
% 0.16/0.48 inference(paramodulation,[status(thm)],[f5,f4])).
% 0.16/0.48 fof(f30,plain,(
% 0.16/0.48 ![X0]: (apply(m,apply(apply(b,combinator),X0))=sF0_fnc(apply(X0,apply(apply(b,combinator),X0))))),
% 0.16/0.48 inference(paramodulation,[status(thm)],[f7,f13])).
% 0.16/0.48 fof(f58,plain,(
% 0.16/0.48 ![X0]: (~apply(X0,apply(apply(b,combinator),X0))=apply(m,apply(apply(b,combinator),X0)))),
% 0.16/0.48 inference(paramodulation,[status(thm)],[f30,f8])).
% 0.16/0.48 fof(f61,plain,(
% 0.16/0.48 $false),
% 0.16/0.48 inference(destructive_equality_resolution,[status(thm)],[f58])).
% 0.16/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.50 % Elapsed time: 0.050312 seconds
% 0.16/0.50 % CPU time: 0.028115 seconds
% 0.16/0.50 % Total memory used: 265.744 KB
% 0.16/0.50 % Net memory used: 264.528 KB
%------------------------------------------------------------------------------