%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP001-4 : 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 : n007.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 12:35:24 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP001-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 19:50:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.38 fof(f1,axiom,(
% 0.09/0.38 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f2,axiom,(
% 0.09/0.38 (![X]: (multiply(identity,X) = X ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f3,hypothesis,(
% 0.09/0.38 (![X]: (multiply(X,X) = identity ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f4,hypothesis,(
% 0.09/0.38 multiply(a,b) = c ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f5,negated_conjecture,(
% 0.09/0.38 multiply(b,a) != c ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f6,plain,(
% 0.09/0.38 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.38 fof(f7,plain,(
% 0.09/0.38 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.38 fof(f8,plain,(
% 0.09/0.38 ![X0]: (multiply(X0,X0)=identity)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.38 fof(f9,plain,(
% 0.09/0.38 multiply(a,b)=c),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.38 fof(f10,plain,(
% 0.09/0.38 ~multiply(b,a)=c),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.38 fof(f11,definition,(
% 0.09/0.38 sF0_fnc=multiply(b,a)),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.09/0.38 fof(f12,plain,(
% 0.09/0.38 ~sF0_fnc=c),
% 0.09/0.38 inference(definition_folding,[],[f10,f11])).
% 0.09/0.38 fof(f14,plain,(
% 0.09/0.38 ![X0]: (multiply(c,X0)=multiply(a,multiply(b,X0)))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f9,f6])).
% 0.09/0.38 fof(f15,plain,(
% 0.09/0.38 ![X0]: (multiply(sF0_fnc,X0)=multiply(b,multiply(a,X0)))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f11,f6])).
% 0.09/0.38 fof(f18,plain,(
% 0.09/0.38 multiply(sF0_fnc,b)=multiply(b,c)),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f9,f15])).
% 0.09/0.38 fof(f22,plain,(
% 0.09/0.38 ![X0]: (multiply(multiply(b,c),X0)=multiply(sF0_fnc,multiply(b,X0)))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f18,f6])).
% 0.09/0.38 fof(f23,plain,(
% 0.09/0.38 ![X0]: (multiply(b,multiply(c,X0))=multiply(sF0_fnc,multiply(b,X0)))),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f6,f22])).
% 0.09/0.38 fof(f24,plain,(
% 0.09/0.38 ![X0]: (multiply(b,multiply(c,multiply(a,X0)))=multiply(sF0_fnc,multiply(sF0_fnc,X0)))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f15,f23])).
% 0.09/0.38 fof(f25,plain,(
% 0.09/0.38 multiply(b,multiply(c,a))=multiply(sF0_fnc,sF0_fnc)),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f11,f23])).
% 0.09/0.38 fof(f27,plain,(
% 0.09/0.38 multiply(b,multiply(c,a))=identity),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f8,f25])).
% 0.09/0.38 fof(f32,plain,(
% 0.09/0.38 ![X0]: (multiply(identity,X0)=multiply(b,multiply(multiply(c,a),X0)))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f27,f6])).
% 0.09/0.38 fof(f33,plain,(
% 0.09/0.38 ![X0]: (X0=multiply(b,multiply(multiply(c,a),X0)))),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f7,f32])).
% 0.09/0.38 fof(f34,plain,(
% 0.09/0.38 ![X0]: (X0=multiply(sF0_fnc,multiply(sF0_fnc,X0)))),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f35,f24])).
% 0.09/0.38 fof(f35,plain,(
% 0.09/0.38 ![X0]: (X0=multiply(b,multiply(c,multiply(a,X0))))),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f6,f33])).
% 0.09/0.38 fof(f38,plain,(
% 0.09/0.38 b=multiply(sF0_fnc,multiply(b,c))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f18,f34])).
% 0.09/0.38 fof(f42,plain,(
% 0.09/0.38 b=multiply(b,multiply(c,c))),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f23,f38])).
% 0.09/0.38 fof(f43,plain,(
% 0.09/0.38 b=multiply(b,identity)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f8,f42])).
% 0.09/0.38 fof(f58,plain,(
% 0.09/0.38 multiply(c,identity)=multiply(a,b)),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f43,f14])).
% 0.09/0.38 fof(f67,plain,(
% 0.09/0.38 multiply(c,identity)=c),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f9,f58])).
% 0.09/0.38 fof(f129,plain,(
% 0.09/0.38 ![X0,X1]: (multiply(X0,multiply(X1,multiply(X0,X1)))=identity)),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f6,f8])).
% 0.09/0.38 fof(f139,plain,(
% 0.09/0.38 ![X0,X1]: (multiply(identity,X0)=multiply(X1,multiply(X1,X0)))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f8,f6])).
% 0.09/0.38 fof(f147,plain,(
% 0.09/0.38 ![X0,X1]: (X0=multiply(X1,multiply(X1,X0)))),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f7,f139])).
% 0.09/0.38 fof(f156,plain,(
% 0.09/0.38 multiply(b,multiply(b,multiply(c,sF0_fnc)))=identity),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f23,f129])).
% 0.09/0.38 fof(f197,plain,(
% 0.09/0.38 multiply(c,sF0_fnc)=identity),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f147,f156])).
% 0.09/0.38 fof(f254,plain,(
% 0.09/0.38 sF0_fnc=multiply(c,identity)),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f197,f147])).
% 0.09/0.38 fof(f283,plain,(
% 0.09/0.38 sF0_fnc=c),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f67,f254])).
% 0.09/0.38 fof(f284,plain,(
% 0.09/0.38 $false),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f283,f12])).
% 0.09/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.41 % Elapsed time: 0.034240 seconds
% 0.09/0.41 % CPU time: 0.028820 seconds
% 0.09/0.41 % Total memory used: 345.056 KB
% 0.09/0.41 % Net memory used: 341.008 KB
%------------------------------------------------------------------------------