%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP522-1 : 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 : n019.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 12:36:45 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP522-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.52 % Computer : n019.cluster.edu
% 0.10/0.52 % Model : x86_64 x86_64
% 0.10/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.52 % Memory : 8046.5625MB
% 0.10/0.52 % OS : Linux 6.8.0-71-generic
% 0.10/0.52 % CPULimit : 300
% 0.10/0.52 % WCLimit : 300
% 0.10/0.52 % DateTime : Sun Sep 20 20:15:52 UTC 2026
% 0.10/0.53 % CPUTime :
% 0.10/0.53 % Drodi V4.1.1
% 0.10/0.54 % Refutation found
% 0.10/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.54 fof(f1,axiom,(
% 0.10/0.54 (![A,B,C]: (divide(A,divide(B,divide(C,divide(A,B)))) = C ))),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f2,axiom,(
% 0.10/0.54 (![A,B,C]: (multiply(A,B) = divide(A,divide(divide(C,C),B)) ))),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f3,axiom,(
% 0.10/0.54 (![A,B]: (inverse(A) = divide(divide(B,B),A) ))),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f4,negated_conjecture,(
% 0.10/0.54 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 0.10/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.54 fof(f5,plain,(
% 0.10/0.54 ![X0,X1,X2]: (divide(X0,divide(X1,divide(X2,divide(X0,X1))))=X2)),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.54 fof(f6,plain,(
% 0.10/0.54 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.54 fof(f7,plain,(
% 0.10/0.54 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.54 fof(f8,plain,(
% 0.10/0.54 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.10/0.54 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.54 fof(f9,definition,(
% 0.10/0.54 sF2_fnc=inverse(b2)),
% 0.10/0.54 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.10/0.54 fof(f10,definition,(
% 0.10/0.54 sF1_fnc=multiply(sF2_fnc,b2)),
% 0.10/0.54 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.10/0.54 fof(f11,definition,(
% 0.10/0.54 sF0_fnc=multiply(sF1_fnc,a2)),
% 0.10/0.54 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.10/0.54 fof(f12,plain,(
% 0.10/0.54 ~sF0_fnc=a2),
% 0.10/0.54 inference(definition_folding,[],[f8,f11,f10,f9])).
% 0.10/0.54 fof(f13,plain,(
% 0.10/0.54 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.10/0.54 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.10/0.54 fof(f16,plain,(
% 0.10/0.54 ![X0]: (multiply(X0,b2)=divide(X0,sF2_fnc))),
% 0.10/0.54 inference(paramodulation,[status(thm)],[f9,f13])).
% 0.10/0.54 fof(f19,plain,(
% 0.10/0.54 sF1_fnc=divide(sF2_fnc,sF2_fnc)),
% 0.10/0.54 inference(backward_demodulation,[status(thm)],[f16,f10])).
% 0.10/0.54 fof(f22,plain,(
% 0.10/0.54 ![X0,X1,X2]: (divide(X0,divide(X1,inverse(divide(X0,X1))))=divide(X2,X2))),
% 0.10/0.54 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.10/0.54 fof(f31,plain,(
% 0.10/0.54 ![X0,X1,X2]: (divide(X0,multiply(X1,divide(X0,X1)))=divide(X2,X2))),
% 0.10/0.54 inference(forward_demodulation,[status(thm)],[f13,f22])).
% 0.10/0.54 fof(f37,plain,(
% 0.10/0.54 ![X0]: (inverse(X0)=divide(sF1_fnc,X0))),
% 0.10/0.54 inference(paramodulation,[status(thm)],[f19,f7])).
% 0.10/0.54 fof(f41,plain,(
% 0.10/0.54 ![X0,X1]: (divide(X0,inverse(divide(X1,divide(X0,sF1_fnc))))=X1)),
% 0.10/0.54 inference(paramodulation,[status(thm)],[f37,f5])).
% 0.10/0.54 fof(f42,plain,(
% 0.10/0.54 ![X0,X1]: (divide(X0,divide(X1,inverse(divide(X0,X1))))=sF1_fnc)),
% 0.10/0.54 inference(paramodulation,[status(thm)],[f37,f5])).
% 0.10/0.54 fof(f51,plain,(
% 0.10/0.54 ![X0,X1]: (multiply(X0,divide(X1,divide(X0,sF1_fnc)))=X1)),
% 0.10/0.54 inference(forward_demodulation,[status(thm)],[f13,f41])).
% 0.10/0.54 fof(f52,plain,(
% 0.10/0.54 ![X0]: (sF1_fnc=divide(X0,X0))),
% 0.10/0.54 inference(backward_demodulation,[status(thm)],[f53,f31])).
% 0.10/0.54 fof(f53,plain,(
% 0.10/0.54 ![X0,X1]: (divide(X0,multiply(X1,divide(X0,X1)))=sF1_fnc)),
% 0.10/0.54 inference(forward_demodulation,[status(thm)],[f13,f42])).
% 0.10/0.54 fof(f61,plain,(
% 0.10/0.54 sF1_fnc=inverse(sF1_fnc)),
% 0.10/0.54 inference(paramodulation,[status(thm)],[f37,f52])).
% 0.10/0.54 fof(f64,plain,(
% 0.10/0.54 ![X0,X1]: (divide(X0,divide(X1,sF1_fnc))=divide(X0,X1))),
% 0.10/0.54 inference(paramodulation,[status(thm)],[f52,f5])).
% 0.10/0.54 fof(f70,plain,(
% 0.10/0.54 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.10/0.54 inference(backward_demodulation,[status(thm)],[f64,f51])).
% 0.10/0.54 fof(f73,plain,(
% 0.10/0.54 ![X0]: (multiply(X0,sF1_fnc)=divide(X0,sF1_fnc))),
% 0.10/0.54 inference(paramodulation,[status(thm)],[f61,f13])).
% 0.10/0.54 fof(f82,plain,(
% 0.10/0.54 ![X0]: (multiply(X0,sF1_fnc)=X0)),
% 0.10/0.54 inference(paramodulation,[status(thm)],[f52,f70])).
% 0.10/0.54 fof(f83,plain,(
% 0.10/0.54 ![X0]: (X0=divide(X0,sF1_fnc))),
% 0.10/0.54 inference(backward_demodulation,[status(thm)],[f82,f73])).
% 0.10/0.54 fof(f94,plain,(
% 0.10/0.54 ![X0]: (multiply(sF1_fnc,X0)=X0)),
% 0.10/0.54 inference(paramodulation,[status(thm)],[f83,f70])).
% 0.10/0.54 fof(f97,plain,(
% 0.10/0.54 sF0_fnc=a2),
% 0.10/0.54 inference(backward_demodulation,[status(thm)],[f94,f11])).
% 0.10/0.54 fof(f101,plain,(
% 0.10/0.54 $false),
% 0.10/0.54 inference(forward_subsumption_resolution,[status(thm)],[f97,f12])).
% 0.10/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.56 % Elapsed time: 0.026500 seconds
% 0.10/0.56 % CPU time: 0.045233 seconds
% 0.10/0.56 % Total memory used: 1.650 MB
% 0.10/0.56 % Net memory used: 1.636 MB
%------------------------------------------------------------------------------