%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP467-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 12:36:40 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP467-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:14:26 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f1,axiom,(
% 0.14/0.39 (![A,B,C,D]: (divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f2,axiom,(
% 0.14/0.39 (![A,B]: (multiply(A,B) = divide(A,inverse(B)) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f3,negated_conjecture,(
% 0.14/0.39 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f4,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3))))=X2)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.39 fof(f5,plain,(
% 0.14/0.39 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.39 fof(f6,plain,(
% 0.14/0.39 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.39 fof(f7,definition,(
% 0.14/0.39 sF2_fnc=inverse(b2)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.14/0.39 fof(f8,definition,(
% 0.14/0.39 sF1_fnc=multiply(sF2_fnc,b2)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.14/0.39 fof(f9,definition,(
% 0.14/0.39 sF0_fnc=multiply(sF1_fnc,a2)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.14/0.39 fof(f10,plain,(
% 0.14/0.39 ~sF0_fnc=a2),
% 0.14/0.39 inference(definition_folding,[],[f6,f9,f8,f7])).
% 0.14/0.39 fof(f11,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3)))=X2)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.14/0.39 fof(f12,plain,(
% 0.14/0.39 ![X0]: (multiply(X0,b2)=divide(X0,sF2_fnc))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.14/0.39 fof(f13,plain,(
% 0.14/0.39 ![X0,X1,X2]: (divide(multiply(sF2_fnc,b2),divide(X0,multiply(divide(X1,divide(X2,X0)),X2)))=X1)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f12,f11])).
% 0.14/0.39 fof(f19,plain,(
% 0.14/0.39 ![X0,X1,X2]: (divide(sF1_fnc,divide(X0,multiply(divide(X1,divide(X2,X0)),X2)))=X1)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f8,f13])).
% 0.14/0.39 fof(f20,plain,(
% 0.14/0.39 ![X0,X1,X2]: (divide(sF1_fnc,divide(multiply(divide(X0,divide(X1,X2)),X1),multiply(X0,X2)))=sF1_fnc)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f19,f19])).
% 0.14/0.39 fof(f21,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (divide(sF1_fnc,divide(multiply(divide(X0,divide(X1,X2)),X1),multiply(X0,X2)))=divide(X3,X3))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f11,f19])).
% 0.14/0.39 fof(f22,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (divide(sF1_fnc,divide(divide(X0,multiply(divide(X1,divide(X2,X0)),X2)),multiply(divide(X3,X1),sF1_fnc)))=X3)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f19,f19])).
% 0.14/0.39 fof(f33,plain,(
% 0.14/0.39 ![X0]: (sF1_fnc=divide(X0,X0))),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f20,f21])).
% 0.14/0.39 fof(f41,plain,(
% 0.14/0.39 ![X0,X1]: (divide(sF1_fnc,divide(X0,multiply(sF1_fnc,X1)))=divide(X1,X0))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f33,f19])).
% 0.14/0.39 fof(f51,plain,(
% 0.14/0.39 ![X0]: (divide(sF1_fnc,sF1_fnc)=divide(X0,multiply(sF1_fnc,X0)))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f33,f41])).
% 0.14/0.39 fof(f55,plain,(
% 0.14/0.39 ![X0]: (sF1_fnc=divide(X0,multiply(sF1_fnc,X0)))),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f33,f51])).
% 0.14/0.39 fof(f56,plain,(
% 0.14/0.39 sF1_fnc=divide(a2,sF0_fnc)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f9,f55])).
% 0.14/0.39 fof(f162,plain,(
% 0.14/0.39 ![X0,X1]: (divide(sF1_fnc,divide(divide(X0,multiply(divide(sF0_fnc,divide(X1,X0)),X1)),multiply(sF1_fnc,sF1_fnc)))=a2)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f56,f22])).
% 0.14/0.39 fof(f192,plain,(
% 0.14/0.39 ![X0,X1]: (divide(sF1_fnc,divide(X0,multiply(divide(sF0_fnc,divide(X1,X0)),X1)))=a2)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f41,f162])).
% 0.14/0.39 fof(f193,plain,(
% 0.14/0.39 sF0_fnc=a2),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f19,f192])).
% 0.14/0.39 fof(f194,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f193,f10])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.034096 seconds
% 0.14/0.41 % CPU time: 0.069393 seconds
% 0.14/0.41 % Total memory used: 2.301 MB
% 0.14/0.41 % Net memory used: 2.291 MB
%------------------------------------------------------------------------------