%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP450-1 : 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 : 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 0.10s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP450-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:13:40 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.45 % Refutation found
% 0.10/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.45 fof(f1,axiom,(
% 0.10/0.45 (![A,B,C]: (divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f2,axiom,(
% 0.10/0.45 (![A,B,C]: (multiply(A,B) = divide(A,divide(divide(C,C),B)) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f3,axiom,(
% 0.10/0.45 (![A,B]: (inverse(A) = divide(divide(B,B),A) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f4,negated_conjecture,(
% 0.10/0.45 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f5,plain,(
% 0.10/0.45 ![X0,X1,X2]: (divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(divide(divide(X1,X1),X0),X2)))=X1)),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.45 fof(f6,plain,(
% 0.10/0.45 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.45 fof(f7,plain,(
% 0.10/0.45 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.45 fof(f8,plain,(
% 0.10/0.45 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.45 fof(f9,definition,(
% 0.10/0.45 sF1_fnc=multiply(a3,b3)),
% 0.10/0.45 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.10/0.45 fof(f10,definition,(
% 0.10/0.45 sF0_fnc=multiply(sF1_fnc,c3)),
% 0.10/0.45 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.10/0.45 fof(f11,definition,(
% 0.10/0.45 sF3_fnc=multiply(b3,c3)),
% 0.10/0.45 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.10/0.45 fof(f12,definition,(
% 0.10/0.45 sF2_fnc=multiply(a3,sF3_fnc)),
% 0.10/0.45 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.10/0.45 fof(f13,plain,(
% 0.10/0.45 ~sF0_fnc=sF2_fnc),
% 0.10/0.45 inference(definition_folding,[],[f8,f12,f11,f10,f9])).
% 0.10/0.45 fof(f14,plain,(
% 0.10/0.45 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.10/0.45 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.10/0.45 fof(f15,plain,(
% 0.10/0.45 ![X0,X1,X2]: (divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(inverse(X0),X2)))=X1)),
% 0.10/0.45 inference(backward_demodulation,[status(thm)],[f7,f5])).
% 0.10/0.45 fof(f16,plain,(
% 0.10/0.45 ![X0,X1,X2]: (divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2)))=X1)),
% 0.10/0.45 inference(forward_demodulation,[status(thm)],[f7,f15])).
% 0.10/0.45 fof(f17,plain,(
% 0.10/0.45 ![X0,X1]: (inverse(X0)=divide(inverse(divide(X1,X1)),X0))),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f7,f7])).
% 0.10/0.45 fof(f18,plain,(
% 0.10/0.45 ![X0,X1]: (multiply(divide(X0,X0),X1)=inverse(inverse(X1)))),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f7,f14])).
% 0.10/0.45 fof(f20,plain,(
% 0.10/0.45 ![X0,X1]: (inverse(X0)=divide(multiply(inverse(X1),X1),X0))),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f14,f7])).
% 0.10/0.45 fof(f21,plain,(
% 0.10/0.45 ![X0,X1]: (multiply(inverse(divide(X0,X0)),X1)=inverse(inverse(X1)))),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f7,f18])).
% 0.10/0.45 fof(f26,plain,(
% 0.10/0.45 ![X0,X1]: (inverse(X0)=divide(inverse(multiply(inverse(X1),X1)),X0))),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f20,f7])).
% 0.10/0.45 fof(f29,plain,(
% 0.10/0.45 ![X0,X1]: (inverse(X0)=divide(inverse(inverse(multiply(inverse(X1),X1))),X0))),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f20,f17])).
% 0.10/0.45 fof(f33,plain,(
% 0.10/0.45 ![X0,X1]: (multiply(inverse(inverse(divide(X0,X0))),X1)=inverse(inverse(X1)))),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f17,f18])).
% 0.10/0.45 fof(f48,plain,(
% 0.10/0.45 ![X0,X1,X2]: (inverse(divide(divide(inverse(X0),X1),divide(inverse(inverse(multiply(inverse(X2),X2))),X1)))=X0)),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f26,f16])).
% 0.10/0.45 fof(f52,plain,(
% 0.10/0.45 ![X0,X1]: (divide(X0,inverse(divide(inverse(X0),inverse(X1))))=X1)),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f7,f16])).
% 0.10/0.45 fof(f55,plain,(
% 0.10/0.45 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(inverse(X0),divide(divide(inverse(X1),X2),divide(inverse(inverse(X3)),X2)))))=X3)),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f16,f16])).
% 0.10/0.45 fof(f56,plain,(
% 0.10/0.45 ![X0,X1,X2]: (divide(X0,divide(multiply(inverse(X1),X2),divide(inverse(X0),inverse(X2))))=X1)),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f14,f16])).
% 0.10/0.45 fof(f65,plain,(
% 0.10/0.45 ![X0,X1]: (inverse(divide(divide(inverse(X0),X1),inverse(X1)))=X0)),
% 0.10/0.45 inference(forward_demodulation,[status(thm)],[f29,f48])).
% 0.10/0.45 fof(f66,plain,(
% 0.10/0.45 ![X0,X1]: (inverse(multiply(divide(inverse(X0),X1),X1))=X0)),
% 0.10/0.45 inference(forward_demodulation,[status(thm)],[f14,f65])).
% 0.10/0.45 fof(f73,plain,(
% 0.10/0.45 ![X0,X1]: (multiply(X0,divide(inverse(X0),inverse(X1)))=X1)),
% 0.10/0.45 inference(forward_demodulation,[status(thm)],[f14,f52])).
% 0.10/0.45 fof(f74,plain,(
% 0.10/0.45 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.10/0.45 inference(forward_demodulation,[status(thm)],[f14,f73])).
% 0.10/0.45 fof(f75,plain,(
% 0.10/0.45 ![X0,X1,X2]: (divide(X0,divide(multiply(inverse(X1),X2),multiply(inverse(X0),X2)))=X1)),
% 0.10/0.45 inference(forward_demodulation,[status(thm)],[f14,f56])).
% 0.10/0.45 fof(f89,plain,(
% 0.10/0.45 ![X0,X1]: (inverse(inverse(multiply(inverse(inverse(divide(X0,X0))),X1)))=X1)),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f21,f74])).
% 0.10/0.45 fof(f93,plain,(
% 0.10/0.45 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f74,f74])).
% 0.10/0.45 fof(f97,plain,(
% 0.10/0.45 ![X0]: (inverse(inverse(inverse(inverse(X0))))=X0)),
% 0.10/0.45 inference(forward_demodulation,[status(thm)],[f33,f89])).
% 0.10/0.45 fof(f111,plain,(
% 0.10/0.45 ![X0,X1]: (multiply(inverse(inverse(inverse(X0))),multiply(X0,X1))=X1)),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f97,f74])).
% 0.10/0.45 fof(f117,plain,(
% 0.10/0.45 ![X0,X1]: (multiply(X0,inverse(inverse(inverse(X1))))=divide(X0,X1))),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f97,f14])).
% 0.10/0.45 fof(f118,plain,(
% 0.10/0.45 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 0.10/0.45 inference(forward_demodulation,[status(thm)],[f93,f111])).
% 0.10/0.45 fof(f132,plain,(
% 0.10/0.45 multiply(inverse(a3),sF1_fnc)=b3),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f9,f118])).
% 0.10/0.45 fof(f167,plain,(
% 0.10/0.45 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(inverse(X0),divide(multiply(inverse(X1),X2),divide(inverse(inverse(X3)),inverse(X2))))))=X3)),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f14,f55])).
% 0.10/0.45 fof(f170,plain,(
% 0.10/0.45 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(inverse(X0),divide(divide(inverse(X1),inverse(X2)),multiply(inverse(inverse(X3)),X2)))))=X3)),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f14,f55])).
% 0.10/0.45 fof(f204,plain,(
% 0.10/0.45 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(inverse(X0),divide(multiply(inverse(X1),X2),multiply(inverse(inverse(X3)),X2)))))=X3)),
% 0.10/0.45 inference(forward_demodulation,[status(thm)],[f14,f167])).
% 0.10/0.45 fof(f205,plain,(
% 0.10/0.45 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(inverse(X0),divide(multiply(inverse(X1),X2),multiply(X3,X2)))))=X3)),
% 0.10/0.45 inference(forward_demodulation,[status(thm)],[f93,f204])).
% 0.10/0.45 fof(f206,plain,(
% 0.10/0.45 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(inverse(X0),divide(multiply(inverse(X1),X2),multiply(inverse(inverse(X3)),X2)))))=X3)),
% 0.10/0.45 inference(forward_demodulation,[status(thm)],[f14,f170])).
% 0.10/0.45 fof(f219,plain,(
% 0.10/0.45 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.10/0.45 inference(backward_demodulation,[status(thm)],[f228,f117])).
% 0.10/0.45 fof(f228,plain,(
% 0.10/0.45 ![X0]: (inverse(inverse(X0))=X0)),
% 0.10/0.45 inference(forward_demodulation,[status(thm)],[f205,f206])).
% 0.10/0.45 fof(f283,plain,(
% 0.10/0.45 ![X0,X1]: (multiply(inverse(X0),divide(X0,X1))=inverse(X1))),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f219,f118])).
% 0.10/0.45 fof(f326,plain,(
% 0.10/0.45 ![X0]: (divide(a3,divide(multiply(inverse(X0),sF1_fnc),b3))=X0)),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f132,f75])).
% 0.10/0.45 fof(f398,plain,(
% 0.10/0.45 ![X0,X1]: (inverse(multiply(divide(X0,X1),X1))=inverse(X0))),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f228,f66])).
% 0.10/0.45 fof(f436,plain,(
% 0.10/0.45 ![X0,X1]: (inverse(inverse(X0))=multiply(divide(X0,X1),X1))),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f398,f228])).
% 0.10/0.45 fof(f454,plain,(
% 0.10/0.45 ![X0,X1]: (X0=multiply(divide(X0,X1),X1))),
% 0.10/0.45 inference(forward_demodulation,[status(thm)],[f228,f436])).
% 0.10/0.45 fof(f461,plain,(
% 0.10/0.45 ![X0,X1]: (X0=divide(divide(X0,inverse(X1)),X1))),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f219,f454])).
% 0.10/0.45 fof(f471,plain,(
% 0.10/0.45 ![X0,X1]: (X0=divide(multiply(X0,X1),X1))),
% 0.10/0.45 inference(forward_demodulation,[status(thm)],[f14,f461])).
% 0.10/0.45 fof(f485,plain,(
% 0.10/0.45 ![X0,X1]: (inverse(X0)=divide(X1,multiply(X0,X1)))),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f118,f471])).
% 0.10/0.45 fof(f487,plain,(
% 0.10/0.45 sF1_fnc=divide(sF0_fnc,c3)),
% 0.10/0.45 inference(paramodulation,[status(thm)],[f10,f471])).
% 0.10/0.46 fof(f616,plain,(
% 0.10/0.46 multiply(inverse(sF0_fnc),sF1_fnc)=inverse(c3)),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f487,f283])).
% 0.10/0.46 fof(f1112,plain,(
% 0.10/0.46 ![X0,X1]: (multiply(inverse(X0),inverse(X1))=inverse(multiply(X1,X0)))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f485,f283])).
% 0.10/0.46 fof(f1135,plain,(
% 0.10/0.46 ![X0,X1]: (divide(inverse(X0),X1)=inverse(multiply(X1,X0)))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f219,f1112])).
% 0.10/0.46 fof(f1859,plain,(
% 0.10/0.46 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=divide(X0,divide(inverse(X2),X1)))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f1135,f14])).
% 0.10/0.46 fof(f1974,plain,(
% 0.10/0.46 divide(a3,divide(inverse(c3),b3))=sF0_fnc),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f616,f326])).
% 0.10/0.46 fof(f1986,plain,(
% 0.10/0.46 multiply(a3,multiply(b3,c3))=sF0_fnc),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f1859,f1974])).
% 0.10/0.46 fof(f1987,plain,(
% 0.10/0.46 sF2_fnc=sF0_fnc),
% 0.10/0.46 inference(backward_demodulation,[status(thm)],[f1988,f12])).
% 0.10/0.46 fof(f1988,plain,(
% 0.10/0.46 multiply(a3,sF3_fnc)=sF0_fnc),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f11,f1986])).
% 0.10/0.46 fof(f2001,plain,(
% 0.10/0.46 $false),
% 0.10/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1987,f13])).
% 0.10/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.47 % Elapsed time: 0.090240 seconds
% 0.10/0.47 % CPU time: 0.582987 seconds
% 0.10/0.47 % Total memory used: 22.137 MB
% 0.10/0.47 % Net memory used: 21.211 MB
%------------------------------------------------------------------------------