%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL026-1 : 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 : n026.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 12:08:57 PM UTC 2026
% Result : Unsatisfiable 19.92s 3.00s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL026-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 14:08:07 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 19.92/3.00 % Refutation found
% 19.92/3.00 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 19.92/3.00 % SZS output start CNFRefutation for theBenchmark
% 19.92/3.00 fof(f1,axiom,(
% 19.92/3.00 (![X,Y,Z]: (apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)) ))),
% 19.92/3.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.92/3.00 fof(f2,axiom,(
% 19.92/3.00 (![X,Y]: (apply(apply(w1,X),Y) = apply(apply(Y,X),X) ))),
% 19.92/3.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.92/3.00 fof(f3,negated_conjecture,(
% 19.92/3.00 (![Y]: (Y != apply(combinator,Y) ))),
% 19.92/3.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.92/3.00 fof(f4,plain,(
% 19.92/3.00 ![X0,X1,X2]: (apply(apply(apply(b,X0),X1),X2)=apply(X0,apply(X1,X2)))),
% 19.92/3.00 inference(cnf_transformation,[status(thm)],[f1])).
% 19.92/3.00 fof(f5,plain,(
% 19.92/3.00 ![X0,X1]: (apply(apply(w1,X0),X1)=apply(apply(X1,X0),X0))),
% 19.92/3.00 inference(cnf_transformation,[status(thm)],[f2])).
% 19.92/3.00 fof(f6,plain,(
% 19.92/3.00 ![X0]: (~X0=apply(combinator,X0))),
% 19.92/3.00 inference(cnf_transformation,[status(thm)],[f3])).
% 19.92/3.00 fof(f7,definition,(
% 19.92/3.00 ![X0]: (sF0_fnc(X0)=apply(combinator,X0))),
% 19.92/3.00 introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition])).
% 19.92/3.00 fof(f8,plain,(
% 19.92/3.00 ![X0]: (~X0=sF0_fnc(X0))),
% 19.92/3.00 inference(definition_folding,[],[f6,f7])).
% 19.92/3.00 fof(f14,plain,(
% 19.92/3.00 ![X0,X1]: (apply(apply(w1,X0),apply(X1,X0))=apply(apply(apply(w1,X0),X1),X0))),
% 19.92/3.00 inference(paramodulation,[status(thm)],[f5,f5])).
% 19.92/3.00 fof(f57,plain,(
% 19.92/3.00 ![X0,X1]: (apply(apply(w1,X0),apply(b,X1))=apply(X1,apply(X0,X0)))),
% 19.92/3.00 inference(paramodulation,[status(thm)],[f5,f4])).
% 19.92/3.00 fof(f62,plain,(
% 19.92/3.00 ![X0,X1,X2]: (apply(apply(w1,X0),apply(apply(b,X1),X2))=apply(apply(X1,apply(X2,X0)),X0))),
% 19.92/3.00 inference(paramodulation,[status(thm)],[f4,f5])).
% 19.92/3.00 fof(f86,plain,(
% 19.92/3.00 ![X0,X1,X2]: (apply(apply(apply(w1,X0),apply(b,apply(b,X1))),X2)=apply(X1,apply(apply(X0,X0),X2)))),
% 19.92/3.00 inference(paramodulation,[status(thm)],[f57,f4])).
% 19.92/3.00 fof(f246,plain,(
% 19.92/3.00 ![X0,X1,X2]: (apply(apply(w1,X0),apply(apply(b,apply(b,X1)),X2))=apply(X1,apply(apply(X2,X0),X0)))),
% 19.92/3.00 inference(paramodulation,[status(thm)],[f4,f62])).
% 19.92/3.00 fof(f5736,plain,(
% 19.92/3.00 ![X0,X1]: (apply(apply(apply(w1,X0),apply(b,apply(b,combinator))),X1)=sF0_fnc(apply(apply(X0,X0),X1)))),
% 19.92/3.00 inference(paramodulation,[status(thm)],[f7,f86])).
% 19.92/3.00 fof(f8413,plain,(
% 19.92/3.00 ![X0,X1]: (~apply(apply(X0,X0),X1)=apply(apply(apply(w1,X0),apply(b,apply(b,combinator))),X1))),
% 19.92/3.00 inference(paramodulation,[status(thm)],[f5736,f8])).
% 19.92/3.00 fof(f8458,plain,(
% 19.92/3.00 ![X0]: (~apply(apply(w1,X0),X0)=apply(apply(apply(w1,X0),apply(b,apply(b,combinator))),X0))),
% 19.92/3.00 inference(paramodulation,[status(thm)],[f5,f8413])).
% 19.92/3.00 fof(f8534,plain,(
% 19.92/3.00 ![X0]: (~apply(apply(w1,X0),X0)=apply(apply(w1,X0),apply(apply(b,apply(b,combinator)),X0)))),
% 19.92/3.00 inference(forward_demodulation,[status(thm)],[f14,f8458])).
% 19.92/3.00 fof(f13772,plain,(
% 19.92/3.00 ![X0,X1]: (~apply(apply(w1,apply(apply(X0,X1),X1)),apply(apply(X0,X1),X1))=apply(apply(w1,apply(apply(X0,X1),X1)),apply(apply(w1,X1),apply(apply(b,apply(b,apply(b,apply(b,combinator)))),X0))))),
% 19.92/3.00 inference(paramodulation,[status(thm)],[f246,f8534])).
% 19.92/3.00 fof(f14080,plain,(
% 19.92/3.00 $false),
% 19.92/3.00 inference(destructive_equality_resolution,[status(thm)],[f13772])).
% 19.92/3.00 % SZS output end CNFRefutation for theBenchmark.p
% 18.07/3.05 % Elapsed time: 2.666896 seconds
% 18.07/3.05 % CPU time: 20.964958 seconds
% 18.07/3.05 % Total memory used: 254.211 MB
% 18.07/3.05 % Net memory used: 251.542 MB
%------------------------------------------------------------------------------