%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP552-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 : GRP552-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n020.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 20:17:47 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f5,negated_conjecture,(
% 0.10/0.37 multiply(a,b) != multiply(b,a) ),
% 0.10/0.37 file('/export/starexec/sandbox2/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(a,b)=multiply(b,a)),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.37 fof(f11,definition,(
% 0.10/0.37 sF0_fnc=multiply(a,b)),
% 0.10/0.37 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.10/0.37 fof(f12,definition,(
% 0.10/0.37 sF1_fnc=multiply(b,a)),
% 0.10/0.37 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.10/0.37 fof(f13,plain,(
% 0.10/0.37 ~sF0_fnc=sF1_fnc),
% 0.10/0.37 inference(definition_folding,[],[f10,f12,f11])).
% 0.10/0.37 fof(f14,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(f15,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(f18,plain,(
% 0.10/0.37 ![X0]: (inverse(inverse(X0))=multiply(identity,X0))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f14,f8])).
% 0.10/0.37 fof(f19,plain,(
% 0.10/0.37 inverse(identity)=identity),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f9,f8])).
% 0.10/0.37 fof(f23,plain,(
% 0.10/0.37 ![X0]: (multiply(X0,identity)=divide(X0,identity))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f19,f14])).
% 0.10/0.37 fof(f39,plain,(
% 0.10/0.37 ![X0,X1]: (divide(inverse(X0),multiply(divide(divide(identity,X0),X1),identity))=X1)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f23,f15])).
% 0.10/0.37 fof(f43,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,f15])).
% 0.10/0.37 fof(f51,plain,(
% 0.10/0.37 ![X0,X1]: (divide(inverse(X0),multiply(divide(inverse(X0),X1),identity))=X1)),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f8,f39])).
% 0.10/0.37 fof(f53,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,f43])).
% 0.10/0.37 fof(f55,plain,(
% 0.10/0.37 ![X0,X1]: (multiply(inverse(X0),X1)=divide(X1,X0))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f14,f53])).
% 0.10/0.37 fof(f61,plain,(
% 0.10/0.37 ![X0]: (multiply(identity,X0)=divide(X0,identity))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f19,f55])).
% 0.10/0.37 fof(f62,plain,(
% 0.10/0.37 ![X0]: (multiply(X0,identity)=inverse(inverse(X0)))),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f63,f23])).
% 0.10/0.37 fof(f63,plain,(
% 0.10/0.37 ![X0]: (inverse(inverse(X0))=divide(X0,identity))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f18,f61])).
% 0.10/0.37 fof(f64,plain,(
% 0.10/0.37 ![X0,X1]: (divide(inverse(X0),inverse(inverse(divide(inverse(X0),X1))))=X1)),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f62,f51])).
% 0.10/0.37 fof(f66,plain,(
% 0.10/0.37 ![X0,X1]: (multiply(inverse(X0),inverse(divide(inverse(X0),X1)))=X1)),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f14,f64])).
% 0.10/0.37 fof(f67,plain,(
% 0.10/0.37 ![X0,X1]: (divide(inverse(divide(inverse(X0),X1)),X0)=X1)),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f55,f66])).
% 0.10/0.37 fof(f68,plain,(
% 0.10/0.37 ![X0]: (divide(identity,X0)=inverse(inverse(inverse(X0))))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f55,f62])).
% 0.10/0.37 fof(f72,plain,(
% 0.10/0.37 ![X0]: (inverse(X0)=inverse(inverse(inverse(X0))))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f8,f68])).
% 0.10/0.37 fof(f77,plain,(
% 0.10/0.37 ![X0,X1]: (multiply(inverse(X0),X1)=divide(X1,inverse(inverse(X0))))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f72,f55])).
% 0.10/0.37 fof(f82,plain,(
% 0.10/0.37 ![X0,X1]: (divide(X0,X1)=divide(X0,inverse(inverse(X1))))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f55,f77])).
% 0.10/0.37 fof(f83,plain,(
% 0.10/0.37 ![X0,X1]: (divide(X0,X1)=multiply(X0,inverse(X1)))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f14,f82])).
% 0.10/0.37 fof(f86,plain,(
% 0.10/0.37 ![X0,X1]: (divide(inverse(X0),X1)=divide(inverse(X1),X0))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f55,f83])).
% 0.10/0.37 fof(f92,plain,(
% 0.10/0.37 ![X0,X1]: (divide(inverse(X0),divide(inverse(X0),X1))=X1)),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f86,f67])).
% 0.10/0.37 fof(f117,plain,(
% 0.10/0.37 ![X0]: (divide(identity,divide(inverse(identity),X0))=X0)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f19,f92])).
% 0.10/0.37 fof(f127,plain,(
% 0.10/0.37 ![X0]: (inverse(divide(inverse(identity),X0))=X0)),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f8,f117])).
% 0.10/0.37 fof(f128,plain,(
% 0.10/0.37 ![X0]: (inverse(divide(identity,X0))=X0)),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f19,f127])).
% 0.10/0.37 fof(f135,plain,(
% 0.10/0.37 ![X0]: (inverse(inverse(X0))=X0)),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f8,f128])).
% 0.10/0.37 fof(f208,plain,(
% 0.10/0.37 ![X0,X1]: (multiply(X0,X1)=divide(X1,inverse(X0)))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f135,f55])).
% 0.10/0.37 fof(f238,plain,(
% 0.10/0.37 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f14,f208])).
% 0.10/0.37 fof(f247,plain,(
% 0.10/0.37 sF1_fnc=multiply(a,b)),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f238,f12])).
% 0.10/0.37 fof(f256,plain,(
% 0.10/0.37 sF1_fnc=sF0_fnc),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f11,f247])).
% 0.10/0.37 fof(f257,plain,(
% 0.10/0.37 $false),
% 0.10/0.37 inference(forward_subsumption_resolution,[status(thm)],[f256,f13])).
% 0.10/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.033185 seconds
% 0.13/0.39 % CPU time: 0.059162 seconds
% 0.13/0.39 % Total memory used: 2.261 MB
% 0.13/0.39 % Net memory used: 2.150 MB
%------------------------------------------------------------------------------