%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP458-1 : 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 : n012.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 12:36:39 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.30s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP458-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Sun Sep 20 20:13:53 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.29 % Drodi V4.1.1
% 0.02/0.30 % Refutation found
% 0.02/0.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.30 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.30 fof(f1,axiom,(
% 0.02/0.30 (![A,B,C]: (divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B ))),
% 0.02/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.30 fof(f2,axiom,(
% 0.02/0.30 (![A,B]: (multiply(A,B) = divide(A,divide(identity,B)) ))),
% 0.02/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.30 fof(f3,axiom,(
% 0.02/0.30 (![A]: (inverse(A) = divide(identity,A) ))),
% 0.02/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.30 fof(f4,axiom,(
% 0.02/0.30 (![A]: (identity = divide(A,A) ))),
% 0.02/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.30 fof(f5,negated_conjecture,(
% 0.02/0.30 multiply(identity,a2) != a2 ),
% 0.02/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.30 fof(f6,plain,(
% 0.02/0.30 ![X0,X1,X2]: (divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2)=X1)),
% 0.02/0.30 inference(cnf_transformation,[status(thm)],[f1])).
% 0.02/0.30 fof(f7,plain,(
% 0.02/0.30 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.02/0.30 inference(cnf_transformation,[status(thm)],[f2])).
% 0.02/0.30 fof(f8,plain,(
% 0.02/0.30 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.02/0.30 inference(cnf_transformation,[status(thm)],[f3])).
% 0.02/0.30 fof(f9,plain,(
% 0.02/0.30 ![X0]: (identity=divide(X0,X0))),
% 0.02/0.30 inference(cnf_transformation,[status(thm)],[f4])).
% 0.02/0.30 fof(f10,plain,(
% 0.02/0.30 ~multiply(identity,a2)=a2),
% 0.02/0.30 inference(cnf_transformation,[status(thm)],[f5])).
% 0.02/0.30 fof(f11,definition,(
% 0.02/0.30 sF0_fnc=multiply(identity,a2)),
% 0.02/0.30 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.02/0.30 fof(f12,plain,(
% 0.02/0.30 ~sF0_fnc=a2),
% 0.02/0.30 inference(definition_folding,[],[f10,f11])).
% 0.02/0.30 fof(f13,plain,(
% 0.02/0.30 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.02/0.30 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.02/0.30 fof(f14,plain,(
% 0.02/0.30 ![X0,X1,X2]: (divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(inverse(X0),X2)))),X2)=X1)),
% 0.02/0.30 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.02/0.30 fof(f15,plain,(
% 0.02/0.30 ![X0,X1,X2]: (divide(divide(identity,divide(X0,divide(X1,divide(inverse(X0),X2)))),X2)=X1)),
% 0.02/0.30 inference(forward_demodulation,[status(thm)],[f9,f14])).
% 0.02/0.30 fof(f16,plain,(
% 0.02/0.30 ![X0,X1,X2]: (divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2)=X1)),
% 0.02/0.30 inference(forward_demodulation,[status(thm)],[f8,f15])).
% 0.02/0.30 fof(f17,plain,(
% 0.02/0.30 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.02/0.30 inference(paramodulation,[status(thm)],[f9,f13])).
% 0.02/0.30 fof(f19,plain,(
% 0.02/0.30 ![X0,X1,X2]: (multiply(inverse(divide(X0,divide(X1,divide(inverse(X0),inverse(X2))))),X2)=X1)),
% 0.02/0.30 inference(paramodulation,[status(thm)],[f13,f16])).
% 0.02/0.30 fof(f24,plain,(
% 0.02/0.30 ![X0,X1]: (divide(inverse(divide(X0,divide(X1,identity))),inverse(X0))=X1)),
% 0.02/0.30 inference(paramodulation,[status(thm)],[f9,f16])).
% 0.02/0.30 fof(f26,plain,(
% 0.02/0.30 ![X0,X1,X2]: (multiply(inverse(divide(X0,divide(X1,multiply(inverse(X0),X2)))),X2)=X1)),
% 0.02/0.30 inference(forward_demodulation,[status(thm)],[f13,f19])).
% 0.02/0.30 fof(f28,plain,(
% 0.02/0.30 ![X0,X1]: (multiply(inverse(divide(X0,divide(X1,identity))),X0)=X1)),
% 0.02/0.30 inference(forward_demodulation,[status(thm)],[f13,f24])).
% 0.02/0.30 fof(f31,plain,(
% 0.02/0.30 ![X0,X1]: (multiply(inverse(divide(X0,identity)),X1)=multiply(inverse(X0),X1))),
% 0.02/0.30 inference(paramodulation,[status(thm)],[f9,f26])).
% 0.02/0.30 fof(f35,plain,(
% 0.02/0.30 ![X0]: (multiply(inverse(identity),divide(X0,identity))=X0)),
% 0.02/0.30 inference(paramodulation,[status(thm)],[f9,f28])).
% 0.02/0.30 fof(f42,plain,(
% 0.02/0.30 ![X0,X1]: (multiply(inverse(divide(identity,divide(X0,X1))),divide(X1,identity))=X0)),
% 0.02/0.30 inference(paramodulation,[status(thm)],[f35,f26])).
% 0.02/0.30 fof(f44,plain,(
% 0.02/0.30 ![X0,X1]: (multiply(inverse(inverse(divide(X0,X1))),divide(X1,identity))=X0)),
% 0.02/0.30 inference(forward_demodulation,[status(thm)],[f8,f42])).
% 0.02/0.30 fof(f46,plain,(
% 0.02/0.30 ![X0]: (identity=multiply(inverse(X0),divide(X0,identity)))),
% 0.02/0.30 inference(paramodulation,[status(thm)],[f17,f31])).
% 0.02/0.30 fof(f61,plain,(
% 0.02/0.30 ![X0,X1,X2]: (multiply(inverse(inverse(X0)),divide(X1,identity))=inverse(divide(X2,divide(X0,divide(inverse(X2),X1)))))),
% 0.02/0.30 inference(paramodulation,[status(thm)],[f16,f44])).
% 0.02/0.30 fof(f63,plain,(
% 0.02/0.30 ![X0]: (multiply(inverse(inverse(identity)),divide(X0,identity))=X0)),
% 0.02/0.30 inference(paramodulation,[status(thm)],[f9,f44])).
% 0.02/0.30 fof(f67,plain,(
% 0.02/0.30 ![X0,X1]: (divide(multiply(inverse(inverse(X0)),divide(X1,identity)),X1)=X0)),
% 0.02/0.30 inference(backward_demodulation,[status(thm)],[f61,f16])).
% 0.02/0.30 fof(f75,plain,(
% 0.02/0.30 identity=inverse(identity)),
% 0.02/0.30 inference(paramodulation,[status(thm)],[f46,f63])).
% 0.02/0.30 fof(f91,plain,(
% 0.02/0.30 ![X0]: (multiply(X0,identity)=divide(X0,identity))),
% 0.02/0.30 inference(paramodulation,[status(thm)],[f75,f13])).
% 0.02/0.30 fof(f94,plain,(
% 0.02/0.30 ![X0]: (identity=multiply(inverse(X0),multiply(X0,identity)))),
% 0.02/0.30 inference(backward_demodulation,[status(thm)],[f91,f46])).
% 0.02/0.30 fof(f103,plain,(
% 0.02/0.30 ![X0,X1]: (divide(multiply(inverse(inverse(X0)),multiply(X1,identity)),X1)=X0)),
% 0.02/0.30 inference(backward_demodulation,[status(thm)],[f91,f67])).
% 0.02/0.30 fof(f135,plain,(
% 0.02/0.30 ![X0]: (divide(identity,inverse(X0))=X0)),
% 0.02/0.30 inference(paramodulation,[status(thm)],[f94,f103])).
% 0.02/0.30 fof(f148,plain,(
% 0.02/0.30 sF0_fnc=a2),
% 0.02/0.30 inference(backward_demodulation,[status(thm)],[f158,f11])).
% 0.02/0.30 fof(f158,plain,(
% 0.02/0.30 ![X0]: (multiply(identity,X0)=X0)),
% 0.02/0.30 inference(forward_demodulation,[status(thm)],[f13,f135])).
% 0.02/0.30 fof(f199,plain,(
% 0.02/0.30 $false),
% 0.02/0.30 inference(forward_subsumption_resolution,[status(thm)],[f148,f12])).
% 0.02/0.30 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.31 % Elapsed time: 0.016262 seconds
% 0.02/0.31 % CPU time: 0.029718 seconds
% 0.02/0.31 % Total memory used: 2.139 MB
% 0.02/0.31 % Net memory used: 2.132 MB
%------------------------------------------------------------------------------