%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP446-1 : 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 : n006.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 12:36:38 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP446-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n006.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 20:13:13 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 0.11/0.36 % Refutation found
% 0.11/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.36 fof(f1,axiom,(
% 0.11/0.36 (![A,B,C]: (divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) = B ))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f2,axiom,(
% 0.11/0.36 (![A,B,C]: (multiply(A,B) = divide(A,divide(divide(C,C),B)) ))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f3,axiom,(
% 0.11/0.36 (![A,B]: (inverse(A) = divide(divide(B,B),A) ))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f4,negated_conjecture,(
% 0.11/0.36 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f5,plain,(
% 0.11/0.36 ![X0,X1,X2]: (divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(divide(X0,X0),X0),X2)))=X1)),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.36 fof(f6,plain,(
% 0.11/0.36 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.36 fof(f7,plain,(
% 0.11/0.36 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.36 fof(f8,plain,(
% 0.11/0.36 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.11/0.36 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.36 fof(f13,plain,(
% 0.11/0.36 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.11/0.36 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.11/0.36 fof(f14,plain,(
% 0.11/0.36 ![X0,X1,X2]: (divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(inverse(X0),X2)))=X1)),
% 0.11/0.36 inference(backward_demodulation,[status(thm)],[f7,f5])).
% 0.11/0.36 fof(f15,plain,(
% 0.11/0.36 ![X0,X1,X2]: (divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2)))=X1)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f7,f14])).
% 0.11/0.36 fof(f17,plain,(
% 0.11/0.36 ![X0,X1]: (multiply(divide(X0,X0),X1)=inverse(inverse(X1)))),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f7,f13])).
% 0.11/0.36 fof(f21,plain,(
% 0.11/0.36 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=inverse(inverse(X1)))),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f13,f17])).
% 0.11/0.36 fof(f22,plain,(
% 0.11/0.36 ~inverse(inverse(a2))=a2),
% 0.11/0.36 inference(backward_demodulation,[status(thm)],[f21,f8])).
% 0.11/0.36 fof(f24,plain,(
% 0.11/0.36 ![X0,X1]: (divide(X0,inverse(divide(inverse(X0),inverse(X1))))=X1)),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f7,f15])).
% 0.11/0.36 fof(f25,plain,(
% 0.11/0.36 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(inverse(X0),divide(divide(inverse(X1),X2),divide(inverse(inverse(X3)),X2)))))=X3)),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f15,f15])).
% 0.11/0.36 fof(f32,plain,(
% 0.11/0.36 ![X0,X1]: (multiply(X0,divide(inverse(X0),inverse(X1)))=X1)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f13,f24])).
% 0.11/0.36 fof(f33,plain,(
% 0.11/0.36 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f13,f32])).
% 0.11/0.36 fof(f77,plain,(
% 0.11/0.36 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f33,f33])).
% 0.11/0.36 fof(f121,plain,(
% 0.11/0.36 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(inverse(X0),divide(multiply(inverse(X1),X2),divide(inverse(inverse(X3)),inverse(X2))))))=X3)),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f13,f25])).
% 0.11/0.36 fof(f124,plain,(
% 0.11/0.36 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(inverse(X0),divide(divide(inverse(X1),inverse(X2)),multiply(inverse(inverse(X3)),X2)))))=X3)),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f13,f25])).
% 0.11/0.36 fof(f149,plain,(
% 0.11/0.36 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(inverse(X0),divide(multiply(inverse(X1),X2),multiply(inverse(inverse(X3)),X2)))))=X3)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f13,f121])).
% 0.11/0.36 fof(f150,plain,(
% 0.11/0.36 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(inverse(X0),divide(multiply(inverse(X1),X2),multiply(X3,X2)))))=X3)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f77,f149])).
% 0.11/0.36 fof(f151,plain,(
% 0.11/0.36 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(inverse(X0),divide(multiply(inverse(X1),X2),multiply(inverse(inverse(X3)),X2)))))=X3)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f13,f124])).
% 0.11/0.36 fof(f153,plain,(
% 0.11/0.36 ~a2=a2),
% 0.11/0.36 inference(backward_demodulation,[status(thm)],[f175,f22])).
% 0.11/0.36 fof(f175,plain,(
% 0.11/0.36 ![X0]: (inverse(inverse(X0))=X0)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f150,f151])).
% 0.11/0.37 fof(f187,plain,(
% 0.11/0.37 $false),
% 0.11/0.37 inference(trivial_equality_resolution,[status(thm)],[f153])).
% 0.11/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.40 % Elapsed time: 0.046749 seconds
% 0.11/0.40 % CPU time: 0.043963 seconds
% 0.11/0.40 % Total memory used: 1.342 MB
% 0.11/0.40 % Net memory used: 1.290 MB
%------------------------------------------------------------------------------