%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP117-1 : TPTP v9.3.1. Released v1.2.0.
% 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 12:35:40 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP117-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 19:57:50 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.36 % Refutation found
% 0.09/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.36 fof(f1,axiom,(
% 0.09/0.36 (![X,Y,Z]: (multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))) = Y ))),
% 0.09/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f2,negated_conjecture,(
% 0.09/0.36 multiply(a,identity) != a ),
% 0.09/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f3,plain,(
% 0.09/0.36 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2))))=X1)),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.36 fof(f4,plain,(
% 0.09/0.36 ~multiply(a,identity)=a),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.36 fof(f5,definition,(
% 0.09/0.36 sF0_fnc=multiply(a,identity)),
% 0.09/0.36 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.09/0.36 fof(f6,plain,(
% 0.09/0.36 ~sF0_fnc=a),
% 0.09/0.36 inference(definition_folding,[],[f4,f5])).
% 0.09/0.36 fof(f7,plain,(
% 0.09/0.36 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(identity,multiply(multiply(identity,multiply(X2,X2)),multiply(identity,multiply(X2,X2))))))=multiply(multiply(X0,X1),X2))),
% 0.09/0.36 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.09/0.36 fof(f11,plain,(
% 0.09/0.36 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(multiply(identity,X2),multiply(identity,X2))))),X2))=X1)),
% 0.09/0.36 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.09/0.36 fof(f19,plain,(
% 0.09/0.36 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),multiply(identity,X2)))),
% 0.09/0.36 inference(paramodulation,[status(thm)],[f3,f7])).
% 0.09/0.36 fof(f45,plain,(
% 0.09/0.36 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,multiply(X2,X2))))),X2))=X1)),
% 0.09/0.36 inference(backward_demodulation,[status(thm)],[f19,f11])).
% 0.09/0.36 fof(f100,plain,(
% 0.09/0.36 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(identity,multiply(X2,X2))))),X2))=X1)),
% 0.09/0.36 inference(forward_demodulation,[status(thm)],[f19,f45])).
% 0.09/0.36 fof(f165,plain,(
% 0.09/0.36 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(X2,multiply(X3,X3))))),X3))=multiply(X1,X2))),
% 0.09/0.36 inference(paramodulation,[status(thm)],[f19,f100])).
% 0.09/0.36 fof(f174,plain,(
% 0.09/0.36 ![X0]: (multiply(X0,identity)=X0)),
% 0.09/0.36 inference(backward_demodulation,[status(thm)],[f165,f100])).
% 0.09/0.36 fof(f176,plain,(
% 0.09/0.36 sF0_fnc=a),
% 0.09/0.36 inference(backward_demodulation,[status(thm)],[f174,f5])).
% 0.09/0.36 fof(f195,plain,(
% 0.09/0.36 $false),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f176,f6])).
% 0.09/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.39 % Elapsed time: 0.036654 seconds
% 0.09/0.39 % CPU time: 0.059050 seconds
% 0.09/0.39 % Total memory used: 3.331 MB
% 0.09/0.39 % Net memory used: 3.247 MB
%------------------------------------------------------------------------------