%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL001-1 : 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 : n015.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 12:08:53 PM UTC 2026
% Result : Unsatisfiable 84.27s 11.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.66 % Computer : n015.cluster.edu
% 0.18/0.66 % Model : x86_64 x86_64
% 0.18/0.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.66 % Memory : 8046.5625MB
% 0.18/0.66 % OS : Linux 6.8.0-71-generic
% 0.21/0.66 % CPULimit : 300
% 0.21/0.66 % WCLimit : 300
% 0.21/0.66 % DateTime : Mon Sep 21 14:05:52 UTC 2026
% 0.21/0.66 % CPUTime :
% 0.21/0.67 % Drodi V4.1.1
% 84.27/11.38 % Refutation found
% 84.27/11.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 84.27/11.38 % SZS output start CNFRefutation for theBenchmark
% 84.27/11.38 fof(f1,axiom,(
% 84.27/11.38 (![X,Y,Z]: (apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)) ))),
% 84.27/11.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 84.27/11.38 fof(f2,axiom,(
% 84.27/11.38 (![X,Y]: (apply(apply(k,X),Y) = X ))),
% 84.27/11.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 84.27/11.38 fof(f3,negated_conjecture,(
% 84.27/11.38 (![Y]: (Y != apply(combinator,Y) ))),
% 84.27/11.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 84.27/11.38 fof(f4,plain,(
% 84.27/11.38 ![X0,X1,X2]: (apply(apply(apply(s,X0),X1),X2)=apply(apply(X0,X2),apply(X1,X2)))),
% 84.27/11.38 inference(cnf_transformation,[status(thm)],[f1])).
% 84.27/11.38 fof(f5,plain,(
% 84.27/11.38 ![X0,X1]: (apply(apply(k,X0),X1)=X0)),
% 84.27/11.38 inference(cnf_transformation,[status(thm)],[f2])).
% 84.27/11.38 fof(f6,plain,(
% 84.27/11.38 ![X0]: (~X0=apply(combinator,X0))),
% 84.27/11.38 inference(cnf_transformation,[status(thm)],[f3])).
% 84.27/11.38 fof(f7,definition,(
% 84.27/11.38 ![X0]: (sF0_fnc(X0)=apply(combinator,X0))),
% 84.27/11.38 introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition])).
% 84.27/11.38 fof(f8,plain,(
% 84.27/11.38 ![X0]: (~X0=sF0_fnc(X0))),
% 84.27/11.38 inference(definition_folding,[],[f6,f7])).
% 84.27/11.38 fof(f14,plain,(
% 84.27/11.38 ![X0,X1,X2]: (apply(apply(apply(s,apply(k,X0)),X1),X2)=apply(X0,apply(X1,X2)))),
% 84.27/11.38 inference(paramodulation,[status(thm)],[f5,f4])).
% 84.27/11.38 fof(f209,plain,(
% 84.27/11.38 ![X0,X1,X2]: (apply(apply(apply(s,apply(s,apply(k,X0))),X1),X2)=apply(X0,apply(X2,apply(X1,X2))))),
% 84.27/11.38 inference(paramodulation,[status(thm)],[f4,f14])).
% 84.27/11.38 fof(f16482,plain,(
% 84.27/11.38 ![X0,X1]: (apply(apply(apply(s,apply(s,apply(k,combinator))),X0),X1)=sF0_fnc(apply(X1,apply(X0,X1))))),
% 84.27/11.38 inference(paramodulation,[status(thm)],[f7,f209])).
% 84.27/11.38 fof(f16508,plain,(
% 84.27/11.38 ![X0,X1,X2]: (apply(apply(apply(s,apply(s,apply(k,X0))),X1),apply(k,X2))=apply(X0,X2))),
% 84.27/11.38 inference(paramodulation,[status(thm)],[f5,f209])).
% 84.27/11.38 fof(f43161,plain,(
% 84.27/11.38 ![X0,X1]: (~apply(X0,apply(X1,X0))=apply(apply(apply(s,apply(s,apply(k,combinator))),X1),X0))),
% 84.27/11.38 inference(paramodulation,[status(thm)],[f16482,f8])).
% 84.27/11.38 fof(f43325,plain,(
% 84.27/11.38 ![X0,X1]: (~apply(X0,apply(apply(s,apply(s,apply(k,X0))),X1))=apply(apply(apply(s,apply(s,apply(k,combinator))),k),apply(apply(s,apply(s,apply(k,X0))),X1)))),
% 84.27/11.38 inference(paramodulation,[status(thm)],[f16508,f43161])).
% 84.27/11.38 fof(f43594,plain,(
% 84.27/11.38 $false),
% 84.27/11.38 inference(destructive_equality_resolution,[status(thm)],[f43325])).
% 84.27/11.38 % SZS output end CNFRefutation for theBenchmark.p
% 6.65/11.53 % Elapsed time: 10.856867 seconds
% 6.65/11.53 % CPU time: 85.537886 seconds
% 6.65/11.53 % Total memory used: 613.781 MB
% 6.65/11.53 % Net memory used: 594.252 MB
%------------------------------------------------------------------------------