%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL018-1 : 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 : n016.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 12:08:56 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL018-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.54 % Computer : n016.cluster.edu
% 0.09/0.54 % Model : x86_64 x86_64
% 0.09/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.54 % Memory : 8046.5625MB
% 0.09/0.54 % OS : Linux 6.8.0-71-generic
% 0.09/0.54 % CPULimit : 300
% 0.09/0.54 % WCLimit : 300
% 0.09/0.54 % DateTime : Mon Sep 21 14:09:55 UTC 2026
% 0.09/0.55 % CPUTime :
% 0.09/0.55 % Drodi V4.1.1
% 0.09/0.56 % Refutation found
% 0.09/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.56 fof(f1,axiom,(
% 0.09/0.56 (![X,Y]: (apply(apply(l,X),Y) = apply(X,apply(Y,Y)) ))),
% 0.09/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.56 fof(f4,negated_conjecture,(
% 0.09/0.56 (![Y]: (Y != apply(combinator,Y) ))),
% 0.09/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.56 fof(f5,plain,(
% 0.09/0.56 ![X0,X1]: (apply(apply(l,X0),X1)=apply(X0,apply(X1,X1)))),
% 0.09/0.56 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.56 fof(f8,plain,(
% 0.09/0.56 ![X0]: (~X0=apply(combinator,X0))),
% 0.09/0.56 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.56 fof(f9,definition,(
% 0.09/0.56 ![X0]: (sF0_fnc(X0)=apply(combinator,X0))),
% 0.09/0.56 introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition])).
% 0.09/0.56 fof(f10,plain,(
% 0.09/0.56 ![X0]: (~X0=sF0_fnc(X0))),
% 0.09/0.56 inference(definition_folding,[],[f8,f9])).
% 0.09/0.56 fof(f13,plain,(
% 0.09/0.56 ![X0]: (apply(apply(l,combinator),X0)=sF0_fnc(apply(X0,X0)))),
% 0.09/0.56 inference(paramodulation,[status(thm)],[f9,f5])).
% 0.09/0.56 fof(f22,plain,(
% 0.09/0.56 ![X0]: (~apply(X0,X0)=apply(apply(l,combinator),X0))),
% 0.09/0.56 inference(paramodulation,[status(thm)],[f13,f10])).
% 0.09/0.56 fof(f23,plain,(
% 0.09/0.56 $false),
% 0.09/0.56 inference(destructive_equality_resolution,[status(thm)],[f22])).
% 0.09/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.59 % Elapsed time: 0.032793 seconds
% 0.14/0.59 % CPU time: 0.024311 seconds
% 0.14/0.59 % Total memory used: 397.312 KB
% 0.14/0.59 % Net memory used: 368.496 KB
%------------------------------------------------------------------------------