%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP535-1 : 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 : n003.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 12:36:46 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP535-1 : 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 : n003.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 20:17:45 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f1,axiom,(
% 0.09/0.39 (![A,B,C]: (divide(divide(A,divide(divide(A,B),C)),B) = C ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,axiom,(
% 0.09/0.39 (![A,B,C]: (multiply(A,B) = divide(A,divide(divide(C,C),B)) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f3,axiom,(
% 0.09/0.39 (![A,B]: (inverse(A) = divide(divide(B,B),A) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f4,axiom,(
% 0.09/0.39 (![A]: (identity = divide(A,A) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f5,negated_conjecture,(
% 0.09/0.39 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f6,plain,(
% 0.09/0.39 ![X0,X1,X2]: (divide(divide(X0,divide(divide(X0,X1),X2)),X1)=X2)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.39 fof(f7,plain,(
% 0.09/0.39 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f8,plain,(
% 0.09/0.39 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.39 fof(f9,plain,(
% 0.09/0.39 ![X0]: (identity=divide(X0,X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f10,plain,(
% 0.09/0.39 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.39 fof(f16,plain,(
% 0.09/0.39 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.09/0.39 fof(f17,plain,(
% 0.09/0.39 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f9,f8])).
% 0.09/0.39 fof(f18,plain,(
% 0.09/0.39 ![X0]: (identity=multiply(inverse(X0),X0))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f16,f9])).
% 0.09/0.39 fof(f20,plain,(
% 0.09/0.39 ![X0,X1,X2]: (multiply(divide(X0,divide(divide(X0,inverse(X1)),X2)),X1)=X2)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f16,f6])).
% 0.09/0.39 fof(f22,plain,(
% 0.09/0.39 ![X0,X1,X2]: (divide(divide(X0,multiply(divide(X0,X1),X2)),X1)=inverse(X2))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f16,f6])).
% 0.09/0.39 fof(f26,plain,(
% 0.09/0.39 ![X0,X1]: (divide(divide(X0,divide(identity,X1)),X0)=X1)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f9,f6])).
% 0.09/0.39 fof(f28,plain,(
% 0.09/0.39 ![X0,X1,X2]: (multiply(divide(X0,divide(multiply(X0,X1),X2)),X1)=X2)),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f16,f20])).
% 0.09/0.39 fof(f30,plain,(
% 0.09/0.39 ![X0,X1]: (divide(divide(X0,inverse(X1)),X0)=X1)),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f17,f26])).
% 0.09/0.39 fof(f31,plain,(
% 0.09/0.39 ![X0,X1]: (divide(multiply(X0,X1),X0)=X1)),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f16,f30])).
% 0.09/0.39 fof(f33,plain,(
% 0.09/0.39 ![X0,X1]: (multiply(multiply(inverse(X0),X1),X0)=X1)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f16,f31])).
% 0.09/0.39 fof(f34,plain,(
% 0.09/0.39 ![X0]: (divide(identity,inverse(X0))=X0)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f18,f31])).
% 0.09/0.39 fof(f37,plain,(
% 0.09/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f16,f34])).
% 0.09/0.39 fof(f38,plain,(
% 0.09/0.39 ![X0]: (divide(X0,identity)=X0)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f37,f31])).
% 0.09/0.39 fof(f41,plain,(
% 0.09/0.39 ![X0,X1]: (X0=divide(X1,divide(divide(X1,identity),X0)))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f6,f38])).
% 0.09/0.39 fof(f48,plain,(
% 0.09/0.39 ![X0,X1]: (X0=divide(X1,divide(X1,X0)))),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f38,f41])).
% 0.09/0.39 fof(f52,plain,(
% 0.09/0.39 ![X0,X1]: (X0=divide(multiply(X0,X1),X1))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f31,f48])).
% 0.09/0.39 fof(f84,plain,(
% 0.09/0.39 ![X0,X1]: (multiply(inverse(X0),X1)=divide(X1,X0))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f33,f52])).
% 0.09/0.39 fof(f95,plain,(
% 0.09/0.39 ![X0,X1,X2]: (multiply(divide(X0,X1),X2)=divide(multiply(X0,X2),X1))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f48,f28])).
% 0.09/0.39 fof(f103,plain,(
% 0.09/0.39 ![X0,X1,X2]: (divide(X0,divide(multiply(X0,X1),X2))=divide(X2,X1))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f28,f52])).
% 0.09/0.39 fof(f121,plain,(
% 0.09/0.39 ![X0,X1]: (divide(divide(X0,X1),X0)=inverse(X1))),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f122,f22])).
% 0.09/0.39 fof(f122,plain,(
% 0.09/0.39 ![X0,X1,X2]: (divide(X0,multiply(divide(X0,X1),X2))=divide(X1,X2))),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f95,f103])).
% 0.09/0.39 fof(f131,plain,(
% 0.09/0.39 ![X0,X1]: (X0=inverse(divide(divide(X1,X1),X0)))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f6,f121])).
% 0.09/0.39 fof(f146,plain,(
% 0.09/0.39 ![X0]: (X0=inverse(divide(identity,X0)))),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f9,f131])).
% 0.09/0.39 fof(f147,plain,(
% 0.09/0.39 ![X0]: (X0=inverse(inverse(X0)))),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f17,f146])).
% 0.09/0.39 fof(f245,plain,(
% 0.09/0.39 ![X0,X1]: (multiply(X0,X1)=divide(X1,inverse(X0)))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f147,f84])).
% 0.09/0.39 fof(f835,plain,(
% 0.09/0.39 ![X0,X1,X2]: (multiply(divide(X0,inverse(X1)),X2)=multiply(X1,multiply(X0,X2)))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f245,f95])).
% 0.09/0.39 fof(f863,plain,(
% 0.09/0.39 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f878,f10])).
% 0.09/0.39 fof(f878,plain,(
% 0.09/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f245,f835])).
% 0.09/0.39 fof(f909,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(trivial_equality_resolution,[status(thm)],[f863])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 7.31/1.62 % Elapsed time: 1.032109 seconds
% 7.31/1.62 % CPU time: 0.086104 seconds
% 7.31/1.62 % Total memory used: 3.476 MB
% 7.31/1.62 % Net memory used: 3.412 MB
%------------------------------------------------------------------------------