%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP451-1 : 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 : n011.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 0.09s 15.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP451-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/15.43 % CPULimit : 300
% 0.09/15.43 % WCLimit : 300
% 0.09/15.43 % DateTime : Sun Sep 20 20:13:24 UTC 2026
% 0.09/15.43 % CPUTime :
% 0.09/15.44 % Drodi V4.1.1
% 0.09/15.44 % Refutation found
% 0.09/15.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/15.44 % SZS output start CNFRefutation for theBenchmark
% 0.09/15.44 fof(f1,axiom,(
% 0.09/15.44 (![A,B,C]: (divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B ))),
% 0.09/15.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/15.44 fof(f2,axiom,(
% 0.09/15.44 (![A,B,C]: (multiply(A,B) = divide(A,divide(divide(C,C),B)) ))),
% 0.09/15.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/15.44 fof(f3,axiom,(
% 0.09/15.44 (![A,B]: (inverse(A) = divide(divide(B,B),A) ))),
% 0.09/15.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/15.44 fof(f4,negated_conjecture,(
% 0.09/15.44 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.09/15.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/15.44 fof(f5,plain,(
% 0.09/15.44 ![X0,X1,X2]: (divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2)=X1)),
% 0.09/15.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/15.44 fof(f6,plain,(
% 0.09/15.44 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.09/15.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/15.45 fof(f7,plain,(
% 0.09/15.45 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.09/15.45 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/15.45 fof(f8,plain,(
% 0.09/15.45 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.09/15.45 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/15.45 fof(f9,definition,(
% 0.09/15.45 sF1_fnc=inverse(a1)),
% 0.09/15.45 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.09/15.45 fof(f10,definition,(
% 0.09/15.45 sF0_fnc=multiply(sF1_fnc,a1)),
% 0.09/15.45 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.09/15.45 fof(f11,definition,(
% 0.09/15.45 sF3_fnc=inverse(b1)),
% 0.09/15.45 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.09/15.45 fof(f12,definition,(
% 0.09/15.45 sF2_fnc=multiply(sF3_fnc,b1)),
% 0.09/15.45 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.09/15.45 fof(f13,plain,(
% 0.09/15.45 ~sF0_fnc=sF2_fnc),
% 0.09/15.45 inference(definition_folding,[],[f8,f12,f11,f10,f9])).
% 0.09/15.45 fof(f14,plain,(
% 0.09/15.45 ![X0,X1,X2]: (divide(inverse(divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2)=X1)),
% 0.09/15.45 inference(backward_demodulation,[status(thm)],[f7,f5])).
% 0.09/15.45 fof(f15,plain,(
% 0.09/15.45 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.09/15.45 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.09/15.45 fof(f16,plain,(
% 0.09/15.45 ![X0,X1,X2]: (divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2)=X1)),
% 0.09/15.45 inference(forward_demodulation,[status(thm)],[f7,f14])).
% 0.09/15.45 fof(f20,plain,(
% 0.09/15.45 ![X0,X1,X2]: (divide(inverse(divide(X0,inverse(divide(inverse(X0),X1)))),X1)=divide(X2,X2))),
% 0.09/15.45 inference(paramodulation,[status(thm)],[f7,f16])).
% 0.09/15.45 fof(f26,plain,(
% 0.09/15.45 ![X0,X1,X2]: (divide(inverse(multiply(X0,divide(inverse(X0),X1))),X1)=divide(X2,X2))),
% 0.09/15.45 inference(forward_demodulation,[status(thm)],[f15,f20])).
% 0.09/15.45 fof(f29,plain,(
% 0.09/15.45 ![X0]: (multiply(X0,b1)=divide(X0,sF3_fnc))),
% 0.09/15.45 inference(paramodulation,[status(thm)],[f11,f15])).
% 0.09/15.45 fof(f43,plain,(
% 0.09/15.45 ![X0]: (inverse(X0)=divide(multiply(sF3_fnc,b1),X0))),
% 0.09/15.45 inference(paramodulation,[status(thm)],[f29,f7])).
% 0.09/15.45 fof(f49,plain,(
% 0.09/15.45 ![X0]: (inverse(X0)=divide(sF2_fnc,X0))),
% 0.09/15.45 inference(forward_demodulation,[status(thm)],[f12,f43])).
% 0.09/15.45 fof(f54,plain,(
% 0.09/15.45 ![X0,X1]: (divide(inverse(divide(X0,inverse(divide(inverse(X0),X1)))),X1)=sF2_fnc)),
% 0.09/15.45 inference(paramodulation,[status(thm)],[f49,f16])).
% 0.09/15.45 fof(f59,plain,(
% 0.09/15.45 ![X0]: (sF2_fnc=divide(X0,X0))),
% 0.09/15.45 inference(backward_demodulation,[status(thm)],[f60,f26])).
% 0.09/15.45 fof(f60,plain,(
% 0.09/15.45 ![X0,X1]: (divide(inverse(multiply(X0,divide(inverse(X0),X1))),X1)=sF2_fnc)),
% 0.09/15.45 inference(forward_demodulation,[status(thm)],[f15,f54])).
% 0.09/15.45 fof(f69,plain,(
% 0.09/15.45 ![X0]: (sF2_fnc=multiply(inverse(X0),X0))),
% 0.09/15.45 inference(paramodulation,[status(thm)],[f15,f59])).
% 0.09/15.45 fof(f88,plain,(
% 0.09/15.45 sF2_fnc=multiply(sF1_fnc,a1)),
% 0.09/15.45 inference(paramodulation,[status(thm)],[f9,f69])).
% 0.09/15.45 fof(f89,plain,(
% 0.09/15.45 sF2_fnc=sF0_fnc),
% 0.09/15.45 inference(forward_demodulation,[status(thm)],[f10,f88])).
% 0.09/15.45 fof(f90,plain,(
% 0.09/15.45 $false),
% 0.09/15.45 inference(forward_subsumption_resolution,[status(thm)],[f89,f13])).
% 0.09/15.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/15.46 % Elapsed time: 0.023328 seconds
% 0.09/15.46 % CPU time: 0.033926 seconds
% 0.09/15.46 % Total memory used: 908.752 KB
% 0.09/15.46 % Net memory used: 864.176 KB
%------------------------------------------------------------------------------