%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP558-1 : 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 12:36:49 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP558-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:18:16 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f1,axiom,(
% 0.12/0.38 (![A,B,C]: (divide(A,inverse(divide(divide(B,C),divide(A,C)))) = B ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f2,axiom,(
% 0.12/0.38 (![A,B]: (multiply(A,B) = divide(A,inverse(B)) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f3,negated_conjecture,(
% 0.12/0.38 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f4,plain,(
% 0.12/0.38 ![X0,X1,X2]: (divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2))))=X1)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.38 fof(f5,plain,(
% 0.12/0.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.38 fof(f6,plain,(
% 0.12/0.38 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.38 fof(f11,plain,(
% 0.12/0.38 ![X0,X1,X2]: (multiply(X0,divide(divide(X1,X2),divide(X0,X2)))=X1)),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.12/0.38 fof(f12,plain,(
% 0.12/0.38 ![X0,X1,X2]: (multiply(X0,divide(multiply(X1,X2),divide(X0,inverse(X2))))=X1)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f5,f11])).
% 0.12/0.38 fof(f14,plain,(
% 0.12/0.38 ![X0,X1,X2]: (multiply(X0,divide(multiply(X1,X2),multiply(X0,X2)))=X1)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f5,f12])).
% 0.12/0.38 fof(f16,plain,(
% 0.12/0.38 ![X0,X1,X2,X3]: (multiply(X0,divide(X1,multiply(X0,divide(multiply(X1,X2),multiply(X3,X2)))))=X3)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f14,f14])).
% 0.12/0.38 fof(f20,plain,(
% 0.12/0.38 ![X0,X1]: (multiply(X0,divide(X1,X1))=X0)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f14,f16])).
% 0.12/0.38 fof(f32,plain,(
% 0.12/0.38 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f20,f16])).
% 0.12/0.38 fof(f44,plain,(
% 0.12/0.38 ![X0,X1]: (multiply(inverse(X0),multiply(X1,X0))=X1)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f5,f32])).
% 0.12/0.38 fof(f67,plain,(
% 0.12/0.38 ![X0,X1]: (multiply(inverse(divide(X0,X1)),X0)=X1)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f32,f44])).
% 0.12/0.38 fof(f87,plain,(
% 0.12/0.38 ![X0,X1]: (inverse(divide(divide(X0,X0),X1))=X1)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f20,f67])).
% 0.12/0.38 fof(f93,plain,(
% 0.12/0.38 ![X0,X1]: (multiply(inverse(X0),X1)=inverse(divide(X0,X1)))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f67,f44])).
% 0.12/0.38 fof(f103,plain,(
% 0.12/0.38 ![X0,X1]: (multiply(inverse(divide(X0,X0)),X1)=X1)),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f93,f87])).
% 0.12/0.38 fof(f134,plain,(
% 0.12/0.38 ~a2=a2),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f135,f6])).
% 0.12/0.38 fof(f135,plain,(
% 0.12/0.38 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=X1)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f93,f103])).
% 0.12/0.38 fof(f152,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(trivial_equality_resolution,[status(thm)],[f134])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.031640 seconds
% 0.12/0.39 % CPU time: 0.071409 seconds
% 0.12/0.39 % Total memory used: 4.003 MB
% 0.12/0.39 % Net memory used: 3.955 MB
%------------------------------------------------------------------------------