%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP482-1 : 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 : n001.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 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP482-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:19:59 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (![A,B,C,D]: (double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B) = C ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,axiom,(
% 0.13/0.38 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,negated_conjecture,(
% 0.13/0.38 multiply(identity,a2) != a2 ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),double_divide(X0,identity))),X1)=X2)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f7,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f8,plain,(
% 0.13/0.38 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f9,plain,(
% 0.13/0.38 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f10,plain,(
% 0.13/0.38 ~multiply(identity,a2)=a2),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.38 fof(f11,definition,(
% 0.13/0.38 sF0_fnc=multiply(identity,a2)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.13/0.38 fof(f12,plain,(
% 0.13/0.38 ~sF0_fnc=a2),
% 0.13/0.38 inference(definition_folding,[],[f10,f11])).
% 0.13/0.38 fof(f13,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.13/0.38 fof(f14,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),inverse(X0))),X1)=X2)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.13/0.38 fof(f15,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),inverse(X0))),X1)=X2)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f8,f14])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(double_divide(X2,double_divide(X3,inverse(X3))),inverse(X0))),X1)=X2)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f8,f15])).
% 0.13/0.38 fof(f17,plain,(
% 0.13/0.38 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(double_divide(X2,identity),inverse(X0))),X1)=X2)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f9,f16])).
% 0.13/0.38 fof(f18,plain,(
% 0.13/0.38 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(X2),inverse(X0))),X1)=X2)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f8,f17])).
% 0.13/0.38 fof(f19,plain,(
% 0.13/0.38 ![X0]: (multiply(inverse(X0),X0)=inverse(identity))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f9,f13])).
% 0.13/0.38 fof(f20,plain,(
% 0.13/0.38 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f8,f13])).
% 0.13/0.38 fof(f23,plain,(
% 0.13/0.38 ![X0,X1]: (inverse(double_divide(double_divide(X0,inverse(identity)),double_divide(inverse(X1),inverse(X0))))=X1)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f8,f18])).
% 0.13/0.38 fof(f27,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(double_divide(double_divide(inverse(X0),inverse(X1)),identity),X1)=X0)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f9,f18])).
% 0.13/0.38 fof(f32,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(double_divide(inverse(X0),inverse(X1)),double_divide(X1,inverse(identity)))=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f13,f23])).
% 0.13/0.38 fof(f35,plain,(
% 0.13/0.38 ![X0,X1]: (double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X1)=X0)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f8,f27])).
% 0.13/0.40 fof(f36,plain,(
% 0.13/0.40 ![X0,X1]: (double_divide(multiply(inverse(X0),inverse(X1)),X0)=X1)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f13,f35])).
% 0.13/0.40 fof(f71,plain,(
% 0.13/0.40 ![X0]: (double_divide(inverse(identity),inverse(X0))=X0)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f19,f36])).
% 0.13/0.40 fof(f90,plain,(
% 0.13/0.40 ![X0]: (multiply(double_divide(inverse(X0),inverse(identity)),identity)=X0)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f9,f32])).
% 0.13/0.40 fof(f97,plain,(
% 0.13/0.40 identity=inverse(identity)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f9,f71])).
% 0.13/0.40 fof(f106,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),inverse(identity))=inverse(X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f71,f13])).
% 0.13/0.40 fof(f112,plain,(
% 0.13/0.40 ![X0]: (multiply(double_divide(inverse(X0),identity),identity)=X0)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f97,f90])).
% 0.13/0.40 fof(f128,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),identity)=inverse(X0))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f97,f106])).
% 0.13/0.40 fof(f131,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(inverse(X0)),identity)=X0)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f8,f112])).
% 0.13/0.40 fof(f132,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f133,f20])).
% 0.13/0.40 fof(f133,plain,(
% 0.13/0.40 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f128,f131])).
% 0.13/0.40 fof(f141,plain,(
% 0.13/0.40 sF0_fnc=a2),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f132,f11])).
% 0.13/0.40 fof(f157,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f141,f12])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.030039 seconds
% 0.13/0.41 % CPU time: 0.072107 seconds
% 0.13/0.41 % Total memory used: 3.391 MB
% 0.13/0.41 % Net memory used: 3.385 MB
%------------------------------------------------------------------------------