%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP487-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 12:36:42 PM UTC 2026
% Result : Unsatisfiable 0.11s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP487-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n016.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sun Sep 20 20:19:13 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 % Drodi V4.1.1
% 0.11/5.40 % Refutation found
% 0.11/5.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/5.40 fof(f1,axiom,(
% 0.11/5.40 (![A,B,C]: (double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) = C ))),
% 0.11/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f2,axiom,(
% 0.11/5.40 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.11/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f3,axiom,(
% 0.11/5.40 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.11/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f4,axiom,(
% 0.11/5.40 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.11/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f5,negated_conjecture,(
% 0.11/5.40 multiply(inverse(a1),a1) != identity ),
% 0.11/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f6,plain,(
% 0.11/5.40 ![X0,X1,X2]: (double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity))=X2)),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/5.40 fof(f7,plain,(
% 0.11/5.40 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/5.40 fof(f8,plain,(
% 0.11/5.40 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/5.40 fof(f9,plain,(
% 0.11/5.40 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/5.40 fof(f10,plain,(
% 0.11/5.40 ~multiply(inverse(a1),a1)=identity),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/5.40 fof(f11,definition,(
% 0.11/5.40 sF1_fnc=inverse(a1)),
% 0.11/5.40 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.11/5.40 fof(f12,definition,(
% 0.11/5.40 sF0_fnc=multiply(sF1_fnc,a1)),
% 0.11/5.40 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.11/5.40 fof(f13,plain,(
% 0.11/5.40 ~sF0_fnc=identity),
% 0.11/5.40 inference(definition_folding,[],[f10,f12,f11])).
% 0.11/5.40 fof(f14,plain,(
% 0.11/5.40 ![X0,X1,X2]: (double_divide(X0,multiply(X1,double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2)))))=X2)),
% 0.11/5.40 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.11/5.40 fof(f15,plain,(
% 0.11/5.40 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.11/5.40 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.11/5.40 fof(f16,plain,(
% 0.11/5.40 ![X0,X1,X2]: (double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),double_divide(X1,X2)))))=X2)),
% 0.11/5.40 inference(forward_demodulation,[status(thm)],[f8,f14])).
% 0.11/5.40 fof(f17,plain,(
% 0.11/5.40 identity=double_divide(a1,sF1_fnc)),
% 0.11/5.40 inference(paramodulation,[status(thm)],[f11,f9])).
% 0.11/5.40 fof(f18,plain,(
% 0.11/5.40 multiply(sF1_fnc,a1)=inverse(identity)),
% 0.11/5.40 inference(paramodulation,[status(thm)],[f17,f15])).
% 0.11/5.40 fof(f19,plain,(
% 0.11/5.40 ![X0]: (multiply(inverse(X0),X0)=inverse(identity))),
% 0.11/5.40 inference(paramodulation,[status(thm)],[f9,f15])).
% 0.11/5.40 fof(f20,plain,(
% 0.11/5.40 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.11/5.40 inference(paramodulation,[status(thm)],[f8,f15])).
% 0.11/5.40 fof(f22,plain,(
% 0.11/5.40 sF0_fnc=inverse(identity)),
% 0.11/5.40 inference(forward_demodulation,[status(thm)],[f12,f18])).
% 0.11/5.40 fof(f23,plain,(
% 0.11/5.40 ![X0]: (multiply(inverse(X0),X0)=sF0_fnc)),
% 0.11/5.40 inference(forward_demodulation,[status(thm)],[f22,f19])).
% 0.11/5.40 fof(f24,plain,(
% 0.11/5.40 identity=double_divide(identity,sF0_fnc)),
% 0.11/5.40 inference(paramodulation,[status(thm)],[f22,f9])).
% 0.11/5.40 fof(f26,plain,(
% 0.11/5.40 ![X0,X1]: (multiply(multiply(X0,X1),double_divide(X1,X0))=sF0_fnc)),
% 0.11/5.40 inference(paramodulation,[status(thm)],[f15,f23])).
% 0.11/5.40 fof(f32,plain,(
% 0.11/5.40 ![X0,X1]: (multiply(identity,double_divide(X0,X1))=inverse(multiply(X1,X0)))),
% 0.11/5.40 inference(paramodulation,[status(thm)],[f15,f20])).
% 0.11/5.40 fof(f89,plain,(
% 0.11/5.40 ![X0]: (double_divide(X0,multiply(identity,double_divide(identity,double_divide(inverse(X0),identity))))=sF0_fnc)),
% 0.11/5.40 inference(paramodulation,[status(thm)],[f24,f16])).
% 0.11/5.40 fof(f92,plain,(
% 0.11/5.40 ![X0,X1]: (double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),identity))))=inverse(X1))),
% 0.11/5.40 inference(paramodulation,[status(thm)],[f9,f16])).
% 0.11/5.40 fof(f99,plain,(
% 0.11/5.40 ![X0]: (double_divide(X0,inverse(multiply(double_divide(inverse(X0),identity),identity)))=sF0_fnc)),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f32,f89])).
% 0.15/5.41 fof(f100,plain,(
% 0.15/5.41 ![X0]: (double_divide(X0,inverse(multiply(inverse(inverse(X0)),identity)))=sF0_fnc)),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f8,f99])).
% 0.15/5.41 fof(f101,plain,(
% 0.15/5.41 ![X0]: (double_divide(X0,inverse(multiply(multiply(identity,X0),identity)))=sF0_fnc)),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f20,f100])).
% 0.15/5.41 fof(f104,plain,(
% 0.15/5.41 ![X0,X1]: (double_divide(X0,multiply(X1,double_divide(identity,inverse(inverse(X0)))))=inverse(X1))),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f8,f92])).
% 0.15/5.41 fof(f107,plain,(
% 0.15/5.41 ![X0,X1]: (double_divide(X0,multiply(X1,double_divide(identity,multiply(identity,X0))))=inverse(X1))),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f20,f104])).
% 0.15/5.41 fof(f334,plain,(
% 0.15/5.41 ![X0]: (double_divide(X0,sF0_fnc)=inverse(multiply(multiply(identity,X0),identity)))),
% 0.15/5.41 inference(paramodulation,[status(thm)],[f26,f107])).
% 0.15/5.41 fof(f349,plain,(
% 0.15/5.41 ![X0]: (double_divide(X0,double_divide(X0,sF0_fnc))=sF0_fnc)),
% 0.15/5.41 inference(backward_demodulation,[status(thm)],[f334,f101])).
% 0.15/5.41 fof(f368,plain,(
% 0.15/5.41 ![X0]: (double_divide(X0,multiply(inverse(X0),double_divide(identity,sF0_fnc)))=sF0_fnc)),
% 0.15/5.41 inference(paramodulation,[status(thm)],[f349,f16])).
% 0.15/5.41 fof(f378,plain,(
% 0.15/5.41 ![X0]: (double_divide(X0,multiply(inverse(X0),identity))=sF0_fnc)),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f24,f368])).
% 0.15/5.41 fof(f392,plain,(
% 0.15/5.41 double_divide(identity,sF0_fnc)=sF0_fnc),
% 0.15/5.41 inference(paramodulation,[status(thm)],[f23,f378])).
% 0.15/5.41 fof(f405,plain,(
% 0.15/5.41 identity=sF0_fnc),
% 0.15/5.41 inference(forward_demodulation,[status(thm)],[f24,f392])).
% 0.15/5.41 fof(f406,plain,(
% 0.15/5.41 $false),
% 0.15/5.41 inference(forward_subsumption_resolution,[status(thm)],[f405,f13])).
% 0.15/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.41 % Elapsed time: 0.028544 seconds
% 0.15/5.41 % CPU time: 0.099487 seconds
% 0.15/5.41 % Total memory used: 5.181 MB
% 0.15/5.41 % Net memory used: 5.040 MB
%------------------------------------------------------------------------------