%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP550-1 : 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 : n013.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 12:36:48 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP550-1 : 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 : n013.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
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:15:52 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.37 fof(f1,axiom,(
% 0.10/0.37 (![A,B,C]: (divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C ))),
% 0.10/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f2,axiom,(
% 0.10/0.37 (![A,B]: (multiply(A,B) = divide(A,divide(identity,B)) ))),
% 0.10/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f3,axiom,(
% 0.10/0.37 (![A]: (inverse(A) = divide(identity,A) ))),
% 0.10/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f4,axiom,(
% 0.10/0.37 (![A]: (identity = divide(A,A) ))),
% 0.10/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f5,negated_conjecture,(
% 0.10/0.37 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 0.10/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f6,plain,(
% 0.10/0.37 ![X0,X1,X2]: (divide(divide(identity,X0),divide(divide(divide(X1,X0),X2),X1))=X2)),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.37 fof(f7,plain,(
% 0.10/0.37 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.37 fof(f8,plain,(
% 0.10/0.37 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.37 fof(f9,plain,(
% 0.10/0.37 ![X0]: (identity=divide(X0,X0))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.37 fof(f10,plain,(
% 0.10/0.37 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.37 fof(f11,definition,(
% 0.10/0.37 sF2_fnc=inverse(b2)),
% 0.10/0.37 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.10/0.37 fof(f12,definition,(
% 0.10/0.37 sF1_fnc=multiply(sF2_fnc,b2)),
% 0.10/0.37 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.10/0.37 fof(f13,definition,(
% 0.10/0.37 sF0_fnc=multiply(sF1_fnc,a2)),
% 0.10/0.37 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.10/0.37 fof(f14,plain,(
% 0.10/0.37 ~sF0_fnc=a2),
% 0.10/0.37 inference(definition_folding,[],[f10,f13,f12,f11])).
% 0.10/0.37 fof(f15,plain,(
% 0.10/0.37 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.10/0.37 fof(f16,plain,(
% 0.10/0.37 ![X0,X1,X2]: (divide(inverse(X0),divide(divide(divide(X1,X0),X2),X1))=X2)),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.10/0.37 fof(f17,plain,(
% 0.10/0.37 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f8,f15])).
% 0.10/0.37 fof(f18,plain,(
% 0.10/0.37 ![X0]: (multiply(X0,b2)=divide(X0,sF2_fnc))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f11,f15])).
% 0.10/0.37 fof(f20,plain,(
% 0.10/0.37 sF1_fnc=divide(sF2_fnc,sF2_fnc)),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f18,f12])).
% 0.10/0.37 fof(f21,plain,(
% 0.10/0.37 sF0_fnc=multiply(identity,a2)),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f22,f13])).
% 0.10/0.37 fof(f22,plain,(
% 0.10/0.37 sF1_fnc=identity),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f9,f20])).
% 0.10/0.37 fof(f23,plain,(
% 0.10/0.37 identity=inverse(identity)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f8,f9])).
% 0.10/0.37 fof(f27,plain,(
% 0.10/0.37 ![X0]: (multiply(X0,identity)=divide(X0,identity))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f23,f15])).
% 0.10/0.37 fof(f32,plain,(
% 0.10/0.37 ![X0,X1]: (divide(inverse(X0),divide(identity,X1))=divide(X1,X0))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f9,f16])).
% 0.10/0.37 fof(f36,plain,(
% 0.10/0.37 ![X0,X1]: (divide(inverse(X0),divide(divide(identity,X1),X0))=X1)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f9,f16])).
% 0.10/0.37 fof(f38,plain,(
% 0.10/0.37 ![X0,X1]: (divide(inverse(X0),inverse(X1))=divide(X1,X0))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f8,f32])).
% 0.10/0.37 fof(f40,plain,(
% 0.10/0.37 ![X0,X1]: (multiply(inverse(X0),X1)=divide(X1,X0))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f15,f38])).
% 0.10/0.37 fof(f43,plain,(
% 0.10/0.37 ![X0,X1]: (divide(inverse(X0),divide(inverse(X1),X0))=X1)),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f8,f36])).
% 0.10/0.37 fof(f44,plain,(
% 0.10/0.37 ![X0]: (multiply(identity,inverse(X0))=inverse(multiply(identity,X0)))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f17,f17])).
% 0.10/0.37 fof(f134,plain,(
% 0.10/0.37 ![X0]: (divide(inverse(X0),identity)=divide(identity,X0))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f27,f40])).
% 0.10/0.37 fof(f137,plain,(
% 0.10/0.37 ![X0]: (multiply(identity,X0)=divide(X0,identity))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f23,f40])).
% 0.10/0.37 fof(f142,plain,(
% 0.10/0.37 ![X0]: (divide(inverse(X0),identity)=inverse(X0))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f8,f134])).
% 0.10/0.37 fof(f144,plain,(
% 0.10/0.37 sF0_fnc=divide(a2,identity)),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f137,f21])).
% 0.10/0.37 fof(f145,plain,(
% 0.10/0.37 ![X0]: (divide(X0,identity)=inverse(inverse(X0)))),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f137,f17])).
% 0.10/0.37 fof(f146,plain,(
% 0.10/0.37 ![X0]: (divide(inverse(X0),identity)=inverse(multiply(identity,X0)))),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f137,f44])).
% 0.10/0.37 fof(f156,plain,(
% 0.10/0.37 ![X0]: (inverse(X0)=inverse(multiply(identity,X0)))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f142,f146])).
% 0.10/0.37 fof(f157,plain,(
% 0.10/0.37 ![X0]: (inverse(X0)=inverse(divide(X0,identity)))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f137,f156])).
% 0.10/0.37 fof(f227,plain,(
% 0.10/0.37 ![X0]: (divide(identity,divide(inverse(X0),identity))=X0)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f23,f43])).
% 0.10/0.37 fof(f243,plain,(
% 0.10/0.37 ![X0]: (inverse(divide(inverse(X0),identity))=X0)),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f8,f227])).
% 0.10/0.37 fof(f244,plain,(
% 0.10/0.37 ![X0]: (divide(X0,identity)=X0)),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f245,f145])).
% 0.10/0.37 fof(f245,plain,(
% 0.10/0.37 ![X0]: (inverse(inverse(X0))=X0)),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f157,f243])).
% 0.10/0.37 fof(f263,plain,(
% 0.10/0.37 sF0_fnc=a2),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f244,f144])).
% 0.10/0.37 fof(f302,plain,(
% 0.10/0.37 $false),
% 0.10/0.37 inference(forward_subsumption_resolution,[status(thm)],[f263,f14])).
% 0.10/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.029962 seconds
% 0.13/0.40 % CPU time: 0.049181 seconds
% 0.13/0.40 % Total memory used: 2.241 MB
% 0.13/0.40 % Net memory used: 2.192 MB
%------------------------------------------------------------------------------