%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP534-1 : 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 : n005.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 12:36:46 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 : GRP534-1 : 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 : n005.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 20:16:03 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 % 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]: (divide(divide(A,divide(divide(A,B),C)),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,C]: (multiply(A,B) = divide(A,divide(divide(C,C),B)) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (![A,B]: (inverse(A) = divide(divide(B,B),A) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,axiom,(
% 0.13/0.38 (![A]: (identity = divide(A,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(multiply(inverse(b2),b2),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]: (divide(divide(X0,divide(divide(X0,X1),X2)),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,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f8,plain,(
% 0.13/0.38 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f9,plain,(
% 0.13/0.38 ![X0]: (identity=divide(X0,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f10,plain,(
% 0.13/0.38 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.38 fof(f11,definition,(
% 0.13/0.38 sF2_fnc=inverse(b2)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.13/0.38 fof(f12,definition,(
% 0.13/0.38 sF1_fnc=multiply(sF2_fnc,b2)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.13/0.38 fof(f13,definition,(
% 0.13/0.38 sF0_fnc=multiply(sF1_fnc,a2)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.13/0.38 fof(f14,plain,(
% 0.13/0.38 ~sF0_fnc=a2),
% 0.13/0.38 inference(definition_folding,[],[f10,f13,f12,f11])).
% 0.13/0.38 fof(f15,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f9,f8])).
% 0.13/0.38 fof(f17,plain,(
% 0.13/0.38 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f16,f15])).
% 0.13/0.38 fof(f18,plain,(
% 0.13/0.38 ![X0]: (multiply(X0,b2)=divide(X0,sF2_fnc))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f11,f15])).
% 0.13/0.38 fof(f25,plain,(
% 0.13/0.38 identity=multiply(sF2_fnc,b2)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f18,f9])).
% 0.13/0.38 fof(f26,plain,(
% 0.13/0.38 ![X0]: (identity=multiply(inverse(X0),X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f15,f9])).
% 0.13/0.38 fof(f30,plain,(
% 0.13/0.38 sF1_fnc=identity),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f25,f12])).
% 0.13/0.38 fof(f31,plain,(
% 0.13/0.38 sF0_fnc=multiply(identity,a2)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f30,f13])).
% 0.13/0.38 fof(f32,plain,(
% 0.13/0.38 sF0_fnc=inverse(inverse(a2))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f17,f31])).
% 0.13/0.38 fof(f75,plain,(
% 0.13/0.38 ![X0,X1]: (divide(divide(X0,divide(identity,X1)),X0)=X1)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f9,f6])).
% 0.13/0.38 fof(f92,plain,(
% 0.13/0.38 ![X0,X1]: (divide(divide(X0,inverse(X1)),X0)=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f16,f75])).
% 0.13/0.38 fof(f93,plain,(
% 0.13/0.38 ![X0,X1]: (divide(multiply(X0,X1),X0)=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f15,f92])).
% 0.13/0.38 fof(f100,plain,(
% 0.13/0.38 ![X0]: (divide(identity,inverse(X0))=X0)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f26,f93])).
% 0.13/0.38 fof(f109,plain,(
% 0.13/0.38 sF0_fnc=a2),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f112,f32])).
% 0.13/0.38 fof(f112,plain,(
% 0.13/0.38 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f16,f100])).
% 0.13/0.38 fof(f119,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f109,f14])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.029758 seconds
% 0.13/0.40 % CPU time: 0.037276 seconds
% 0.13/0.40 % Total memory used: 914.464 KB
% 0.13/0.40 % Net memory used: 881.600 KB
%------------------------------------------------------------------------------