%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL020-1 : 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 : n004.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 10.46s 1.73s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL020-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.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
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Mon Sep 21 14:05:06 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 10.46/1.73 % Refutation found
% 10.46/1.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.46/1.73 % SZS output start CNFRefutation for theBenchmark
% 10.46/1.73 fof(f1,axiom,(
% 10.46/1.73 (![X,Y,Z]: (apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)) ))),
% 10.46/1.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.46/1.73 fof(f2,axiom,(
% 10.46/1.73 (![X,Y,Z]: (apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)) ))),
% 10.46/1.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.46/1.73 fof(f3,axiom,(
% 10.46/1.73 (![X,Y,Z]: (apply(apply(apply(c,X),Y),Z) = apply(apply(X,Z),Y) ))),
% 10.46/1.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.46/1.73 fof(f4,negated_conjecture,(
% 10.46/1.73 (![Y]: (Y != apply(combinator,Y) ))),
% 10.46/1.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.46/1.73 fof(f5,plain,(
% 10.46/1.73 ![X0,X1,X2]: (apply(apply(apply(s,X0),X1),X2)=apply(apply(X0,X2),apply(X1,X2)))),
% 10.46/1.73 inference(cnf_transformation,[status(thm)],[f1])).
% 10.46/1.73 fof(f6,plain,(
% 10.46/1.73 ![X0,X1,X2]: (apply(apply(apply(b,X0),X1),X2)=apply(X0,apply(X1,X2)))),
% 10.46/1.73 inference(cnf_transformation,[status(thm)],[f2])).
% 10.46/1.73 fof(f7,plain,(
% 10.46/1.73 ![X0,X1,X2]: (apply(apply(apply(c,X0),X1),X2)=apply(apply(X0,X2),X1))),
% 10.46/1.73 inference(cnf_transformation,[status(thm)],[f3])).
% 10.46/1.73 fof(f8,plain,(
% 10.46/1.73 ![X0]: (~X0=apply(combinator,X0))),
% 10.46/1.73 inference(cnf_transformation,[status(thm)],[f4])).
% 10.46/1.73 fof(f9,definition,(
% 10.46/1.73 ![X0]: (sF0_fnc(X0)=apply(combinator,X0))),
% 10.46/1.73 introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition])).
% 10.46/1.73 fof(f10,plain,(
% 10.46/1.73 ![X0]: (~X0=sF0_fnc(X0))),
% 10.46/1.73 inference(definition_folding,[],[f8,f9])).
% 10.46/1.73 fof(f239,plain,(
% 10.46/1.73 ![X0,X1,X2]: (apply(apply(apply(s,apply(c,X0)),X1),X2)=apply(apply(X0,apply(X1,X2)),X2))),
% 10.46/1.73 inference(paramodulation,[status(thm)],[f5,f7])).
% 10.46/1.73 fof(f2106,plain,(
% 10.46/1.73 ![X0,X1,X2]: (apply(apply(apply(s,apply(c,apply(b,X0))),X1),X2)=apply(X0,apply(apply(X1,X2),X2)))),
% 10.46/1.73 inference(paramodulation,[status(thm)],[f6,f239])).
% 10.46/1.73 fof(f7755,plain,(
% 10.46/1.73 ![X0,X1]: (apply(apply(apply(s,apply(c,apply(b,combinator))),X0),X1)=sF0_fnc(apply(apply(X0,X1),X1)))),
% 10.46/1.73 inference(paramodulation,[status(thm)],[f9,f2106])).
% 10.46/1.73 fof(f14660,plain,(
% 10.46/1.73 ![X0,X1]: (~apply(apply(X0,X1),X1)=apply(apply(apply(s,apply(c,apply(b,combinator))),X0),X1))),
% 10.46/1.73 inference(paramodulation,[status(thm)],[f7755,f10])).
% 10.46/1.73 fof(f14708,plain,(
% 10.46/1.73 $false),
% 10.46/1.73 inference(destructive_equality_resolution,[status(thm)],[f14660])).
% 10.46/1.73 % SZS output end CNFRefutation for theBenchmark.p
% 10.46/1.76 % Elapsed time: 1.389092 seconds
% 10.46/1.76 % CPU time: 10.836598 seconds
% 10.46/1.76 % Total memory used: 158.980 MB
% 10.46/1.76 % Net memory used: 157.143 MB
%------------------------------------------------------------------------------