%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL032-1 : 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 : n011.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 15.98s 2.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL032-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n011.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 14:05:40 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 15.98/2.47 % Refutation found
% 15.98/2.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 15.98/2.47 % SZS output start CNFRefutation for theBenchmark
% 15.98/2.47 fof(f1,axiom,(
% 15.98/2.47 (![X]: (apply(m,X) = apply(X,X) ))),
% 15.98/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.98/2.47 fof(f2,axiom,(
% 15.98/2.47 (![X,Y,Z]: (apply(apply(apply(q,X),Y),Z) = apply(Y,apply(X,Z)) ))),
% 15.98/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.98/2.47 fof(f3,negated_conjecture,(
% 15.98/2.47 (![Y]: (apply(Y,f(Y)) != apply(f(Y),apply(Y,f(Y))) ))),
% 15.98/2.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 15.98/2.47 fof(f4,plain,(
% 15.98/2.47 ![X0]: (apply(m,X0)=apply(X0,X0))),
% 15.98/2.47 inference(cnf_transformation,[status(thm)],[f1])).
% 15.98/2.47 fof(f5,plain,(
% 15.98/2.47 ![X0,X1,X2]: (apply(apply(apply(q,X0),X1),X2)=apply(X1,apply(X0,X2)))),
% 15.98/2.47 inference(cnf_transformation,[status(thm)],[f2])).
% 15.98/2.47 fof(f6,plain,(
% 15.98/2.47 ![X0]: (~apply(X0,f(X0))=apply(f(X0),apply(X0,f(X0))))),
% 15.98/2.47 inference(cnf_transformation,[status(thm)],[f3])).
% 15.98/2.47 fof(f7,definition,(
% 15.98/2.47 ![X0]: (sF0_fnc(X0)=apply(X0,f(X0)))),
% 15.98/2.47 introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition])).
% 15.98/2.47 fof(f8,definition,(
% 15.98/2.47 ![X0]: (sF1_fnc(X0)=apply(f(X0),sF0_fnc(X0)))),
% 15.98/2.47 introduced(definition,[new_symbols(definition,[sF1_fnc(X0)])],[function_definition])).
% 15.98/2.47 fof(f9,plain,(
% 15.98/2.47 ![X0]: (~sF0_fnc(X0)=sF1_fnc(X0))),
% 15.98/2.47 inference(definition_folding,[],[f6,f8,f7])).
% 15.98/2.47 fof(f12,plain,(
% 15.98/2.47 ![X0,X1]: (sF0_fnc(apply(apply(q,X0),X1))=apply(X1,apply(X0,f(apply(apply(q,X0),X1)))))),
% 15.98/2.47 inference(paramodulation,[status(thm)],[f7,f5])).
% 15.98/2.47 fof(f13,plain,(
% 15.98/2.47 ![X0,X1]: (apply(m,apply(apply(q,X0),X1))=apply(X1,apply(X0,apply(apply(q,X0),X1))))),
% 15.98/2.47 inference(paramodulation,[status(thm)],[f4,f5])).
% 15.98/2.47 fof(f222,plain,(
% 15.98/2.47 ![X0]: (apply(m,apply(apply(q,X0),f(apply(apply(q,apply(q,X0)),X0))))=apply(f(apply(apply(q,apply(q,X0)),X0)),sF0_fnc(apply(apply(q,apply(q,X0)),X0))))),
% 15.98/2.47 inference(paramodulation,[status(thm)],[f12,f13])).
% 15.98/2.47 fof(f271,plain,(
% 15.98/2.47 ![X0]: (apply(m,apply(apply(q,X0),f(apply(apply(q,apply(q,X0)),X0))))=sF1_fnc(apply(apply(q,apply(q,X0)),X0)))),
% 15.98/2.47 inference(forward_demodulation,[status(thm)],[f8,f222])).
% 15.98/2.47 fof(f19583,plain,(
% 15.98/2.47 sF0_fnc(apply(apply(q,apply(q,m)),m))=sF1_fnc(apply(apply(q,apply(q,m)),m))),
% 15.98/2.47 inference(paramodulation,[status(thm)],[f12,f271])).
% 15.98/2.47 fof(f19664,plain,(
% 15.98/2.47 $false),
% 15.98/2.47 inference(forward_subsumption_resolution,[status(thm)],[f19583,f9])).
% 15.98/2.47 % SZS output end CNFRefutation for theBenchmark.p
% 15.98/2.52 % Elapsed time: 2.148310 seconds
% 15.98/2.52 % CPU time: 16.832573 seconds
% 15.98/2.52 % Total memory used: 398.105 MB
% 15.98/2.52 % Net memory used: 396.379 MB
%------------------------------------------------------------------------------