%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP010-4 : 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 12:35:25 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP010-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.56 % Computer : n026.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Sun Sep 20 19:56:07 UTC 2026
% 0.09/0.56 % CPUTime :
% 0.09/0.57 % Drodi V4.1.1
% 0.09/0.58 % Refutation found
% 0.09/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.58 fof(f1,axiom,(
% 0.09/0.58 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.09/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.58 fof(f2,axiom,(
% 0.09/0.58 (![X]: (multiply(identity,X) = X ))),
% 0.09/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.58 fof(f3,axiom,(
% 0.09/0.58 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.09/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.58 fof(f4,hypothesis,(
% 0.09/0.58 multiply(c,b) = identity ),
% 0.09/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.58 fof(f5,negated_conjecture,(
% 0.09/0.58 multiply(b,c) != identity ),
% 0.09/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.58 fof(f6,plain,(
% 0.09/0.58 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.09/0.58 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.58 fof(f7,plain,(
% 0.09/0.58 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.58 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.58 fof(f8,plain,(
% 0.09/0.58 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.09/0.58 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.58 fof(f9,plain,(
% 0.09/0.58 multiply(c,b)=identity),
% 0.09/0.58 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.58 fof(f10,plain,(
% 0.09/0.58 ~multiply(b,c)=identity),
% 0.09/0.58 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.58 fof(f11,definition,(
% 0.09/0.58 sF0_fnc=multiply(b,c)),
% 0.09/0.58 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.09/0.58 fof(f12,plain,(
% 0.09/0.58 ~sF0_fnc=identity),
% 0.09/0.58 inference(definition_folding,[],[f10,f11])).
% 0.09/0.58 fof(f14,plain,(
% 0.09/0.58 ![X0]: (multiply(identity,X0)=multiply(c,multiply(b,X0)))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f9,f6])).
% 0.09/0.58 fof(f16,plain,(
% 0.09/0.58 ![X0]: (multiply(sF0_fnc,X0)=multiply(b,multiply(c,X0)))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f11,f6])).
% 0.09/0.58 fof(f19,plain,(
% 0.09/0.58 ![X0]: (X0=multiply(c,multiply(b,X0)))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f7,f14])).
% 0.09/0.58 fof(f28,plain,(
% 0.09/0.58 c=multiply(c,sF0_fnc)),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f11,f19])).
% 0.09/0.58 fof(f32,plain,(
% 0.09/0.58 multiply(sF0_fnc,sF0_fnc)=multiply(b,c)),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f28,f16])).
% 0.09/0.58 fof(f34,plain,(
% 0.09/0.58 multiply(sF0_fnc,sF0_fnc)=sF0_fnc),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f11,f32])).
% 0.09/0.58 fof(f61,plain,(
% 0.09/0.58 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f8,f6])).
% 0.09/0.58 fof(f62,plain,(
% 0.09/0.58 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f7,f61])).
% 0.09/0.58 fof(f67,plain,(
% 0.09/0.58 sF0_fnc=multiply(inverse(sF0_fnc),sF0_fnc)),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f34,f62])).
% 0.09/0.58 fof(f86,plain,(
% 0.09/0.58 sF0_fnc=identity),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f8,f67])).
% 0.09/0.58 fof(f87,plain,(
% 0.09/0.58 $false),
% 0.09/0.58 inference(forward_subsumption_resolution,[status(thm)],[f86,f12])).
% 0.09/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.59 % Elapsed time: 0.024095 seconds
% 0.09/0.59 % CPU time: 0.032524 seconds
% 0.09/0.59 % Total memory used: 646.592 KB
% 0.09/0.59 % Net memory used: 594.784 KB
%------------------------------------------------------------------------------