%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP465-1 : 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 : 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 12:36:40 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.31s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP465-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 20:13:38 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 0.02/0.31 % Refutation found
% 0.02/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.31 fof(f1,axiom,(
% 0.02/0.31 (![A,B,C]: (divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))) = B ))),
% 0.02/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f2,axiom,(
% 0.02/0.31 (![A,B]: (multiply(A,B) = divide(A,divide(identity,B)) ))),
% 0.02/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f3,axiom,(
% 0.02/0.31 (![A]: (inverse(A) = divide(identity,A) ))),
% 0.02/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f4,axiom,(
% 0.02/0.31 (![A]: (identity = divide(A,A) ))),
% 0.02/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f5,negated_conjecture,(
% 0.02/0.31 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.02/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f6,plain,(
% 0.02/0.31 ![X0,X1,X2]: (divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(identity,X0),X2)))=X1)),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f1])).
% 0.02/0.31 fof(f7,plain,(
% 0.02/0.31 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f2])).
% 0.02/0.31 fof(f8,plain,(
% 0.02/0.31 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f3])).
% 0.02/0.31 fof(f9,plain,(
% 0.02/0.31 ![X0]: (identity=divide(X0,X0))),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f4])).
% 0.02/0.31 fof(f10,plain,(
% 0.02/0.31 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f5])).
% 0.02/0.31 fof(f16,plain,(
% 0.02/0.31 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.02/0.31 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.02/0.31 fof(f17,plain,(
% 0.02/0.31 ![X0,X1,X2]: (divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(inverse(X0),X2)))=X1)),
% 0.02/0.31 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.02/0.31 fof(f18,plain,(
% 0.02/0.31 ![X0,X1,X2]: (divide(X0,divide(divide(divide(identity,X1),X2),divide(inverse(X0),X2)))=X1)),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f9,f17])).
% 0.02/0.31 fof(f19,plain,(
% 0.02/0.31 ![X0,X1,X2]: (divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2)))=X1)),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f8,f18])).
% 0.02/0.31 fof(f20,plain,(
% 0.02/0.31 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f9,f16])).
% 0.02/0.31 fof(f27,plain,(
% 0.02/0.31 ![X0]: (divide(X0,identity)=X0)),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f9,f19])).
% 0.02/0.31 fof(f29,plain,(
% 0.02/0.31 ![X0,X1,X2]: (divide(X0,divide(multiply(inverse(X1),X2),divide(inverse(X0),inverse(X2))))=X1)),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f16,f19])).
% 0.02/0.31 fof(f30,plain,(
% 0.02/0.31 ![X0,X1]: (divide(X0,divide(identity,divide(inverse(X0),inverse(X1))))=X1)),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f9,f19])).
% 0.02/0.31 fof(f33,plain,(
% 0.02/0.31 ![X0,X1]: (divide(X0,divide(divide(inverse(X1),inverse(X0)),identity))=X1)),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f9,f19])).
% 0.02/0.31 fof(f38,plain,(
% 0.02/0.31 ![X0,X1,X2]: (divide(X0,divide(multiply(inverse(X1),X2),multiply(inverse(X0),X2)))=X1)),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f16,f29])).
% 0.02/0.31 fof(f39,plain,(
% 0.02/0.31 ![X0,X1]: (divide(X0,inverse(divide(inverse(X0),inverse(X1))))=X1)),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f8,f30])).
% 0.02/0.31 fof(f40,plain,(
% 0.02/0.31 ![X0,X1]: (multiply(X0,divide(inverse(X0),inverse(X1)))=X1)),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f16,f39])).
% 0.02/0.31 fof(f41,plain,(
% 0.02/0.31 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f16,f40])).
% 0.02/0.31 fof(f43,plain,(
% 0.02/0.31 ![X0,X1]: (divide(X0,divide(inverse(X1),inverse(X0)))=X1)),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f27,f33])).
% 0.02/0.31 fof(f44,plain,(
% 0.02/0.31 ![X0,X1]: (divide(X0,multiply(inverse(X1),X0))=X1)),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f16,f43])).
% 0.02/0.31 fof(f59,plain,(
% 0.02/0.31 ![X0]: (multiply(X0,identity)=X0)),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f20,f41])).
% 0.02/0.31 fof(f69,plain,(
% 0.02/0.31 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f59,f41])).
% 0.02/0.31 fof(f75,plain,(
% 0.02/0.31 ![X0]: (multiply(X0,identity)=inverse(inverse(X0)))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f69,f41])).
% 0.02/0.31 fof(f85,plain,(
% 0.02/0.31 ![X0]: (X0=inverse(inverse(X0)))),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f59,f75])).
% 0.02/0.31 fof(f88,plain,(
% 0.02/0.31 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f85,f41])).
% 0.02/0.31 fof(f92,plain,(
% 0.02/0.31 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f85,f16])).
% 0.02/0.31 fof(f104,plain,(
% 0.02/0.31 ![X0,X1]: (divide(multiply(inverse(inverse(X0)),X1),X1)=X0)),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f41,f44])).
% 0.02/0.31 fof(f109,plain,(
% 0.02/0.31 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f85,f104])).
% 0.02/0.31 fof(f150,plain,(
% 0.02/0.31 ![X0,X1]: (multiply(X0,divide(inverse(X0),X1))=inverse(X1))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f92,f41])).
% 0.02/0.31 fof(f167,plain,(
% 0.02/0.31 ![X0,X1]: (divide(inverse(X0),divide(inverse(X1),X0))=X1)),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f150,f109])).
% 0.02/0.31 fof(f205,plain,(
% 0.02/0.31 ![X0,X1,X2]: (multiply(X0,X1)=inverse(divide(multiply(inverse(X1),X2),multiply(inverse(inverse(X0)),X2))))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f38,f150])).
% 0.02/0.31 fof(f238,plain,(
% 0.02/0.31 ![X0,X1,X2]: (multiply(X0,X1)=inverse(divide(multiply(inverse(X1),X2),multiply(X0,X2))))),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f85,f205])).
% 0.02/0.31 fof(f249,plain,(
% 0.02/0.31 ![X0,X1]: (multiply(X0,X1)=inverse(divide(inverse(X1),X0)))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f167,f150])).
% 0.02/0.31 fof(f281,plain,(
% 0.02/0.31 ![X0,X1]: (multiply(inverse(X0),X1)=inverse(multiply(inverse(X1),X0)))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f16,f249])).
% 0.02/0.31 fof(f285,plain,(
% 0.02/0.31 ![X0,X1]: (multiply(X0,inverse(X1))=inverse(divide(X1,X0)))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f85,f249])).
% 0.02/0.31 fof(f300,plain,(
% 0.02/0.31 ![X0,X1,X2]: (multiply(X0,X1)=divide(multiply(X0,X2),multiply(inverse(X1),X2)))),
% 0.02/0.31 inference(backward_demodulation,[status(thm)],[f303,f238])).
% 0.02/0.31 fof(f303,plain,(
% 0.02/0.31 ![X0,X1]: (divide(X0,X1)=inverse(divide(X1,X0)))),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f92,f285])).
% 0.02/0.31 fof(f380,plain,(
% 0.02/0.31 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X1),X2))=divide(X0,multiply(inverse(X2),X1)))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f281,f92])).
% 0.02/0.31 fof(f400,plain,(
% 0.02/0.31 ![X0,X1,X2]: (multiply(X0,X1)=multiply(multiply(X0,X2),multiply(inverse(X2),X1)))),
% 0.02/0.31 inference(backward_demodulation,[status(thm)],[f380,f300])).
% 0.02/0.31 fof(f485,plain,(
% 0.02/0.31 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f88,f400])).
% 0.02/0.31 fof(f520,plain,(
% 0.02/0.31 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.02/0.31 inference(backward_demodulation,[status(thm)],[f485,f10])).
% 0.02/0.31 fof(f563,plain,(
% 0.02/0.31 $false),
% 0.02/0.31 inference(trivial_equality_resolution,[status(thm)],[f520])).
% 0.02/0.31 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.33 % Elapsed time: 0.031966 seconds
% 0.07/0.33 % CPU time: 0.083464 seconds
% 0.07/0.33 % Total memory used: 5.332 MB
% 0.07/0.33 % Net memory used: 5.228 MB
%------------------------------------------------------------------------------