%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP589-1 : 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 : n019.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 12:36:51 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 : GRP589-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n019.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 20:17:35 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % 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]: (double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(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]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f3,negated_conjecture,(
% 0.09/0.39 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f4,plain,(
% 0.09/0.39 ![X0,X1,X2]: (double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),X1)=X2)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.39 fof(f5,plain,(
% 0.09/0.39 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f6,plain,(
% 0.09/0.39 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.39 fof(f12,plain,(
% 0.09/0.39 ![X0,X1,X2]: (double_divide(multiply(inverse(double_divide(X0,inverse(X1))),double_divide(X0,X2)),X2)=X1)),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.09/0.39 fof(f13,plain,(
% 0.09/0.39 ![X0,X1,X2]: (double_divide(multiply(multiply(inverse(X0),X1),double_divide(X1,X2)),X2)=X0)),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f5,f12])).
% 0.09/0.39 fof(f15,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(inverse(X0),multiply(multiply(inverse(X1),X2),double_divide(X2,X3))),X1),X3)=X0)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f13,f13])).
% 0.09/0.39 fof(f16,plain,(
% 0.09/0.39 ![X0,X1,X2]: (multiply(X0,multiply(multiply(inverse(X1),X2),double_divide(X2,X0)))=inverse(X1))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f13,f5])).
% 0.09/0.39 fof(f44,plain,(
% 0.09/0.39 ![X0,X1]: (double_divide(multiply(inverse(X0),X0),inverse(X1))=X1)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f16,f15])).
% 0.09/0.39 fof(f63,plain,(
% 0.09/0.39 ![X0,X1,X2]: (double_divide(multiply(multiply(inverse(X0),multiply(inverse(X1),X1)),X2),inverse(X2))=X0)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f44,f13])).
% 0.09/0.39 fof(f64,plain,(
% 0.09/0.39 ![X0,X1]: (multiply(inverse(X0),multiply(inverse(X1),X1))=inverse(X0))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f44,f5])).
% 0.09/0.39 fof(f65,plain,(
% 0.09/0.39 ![X0,X1]: (double_divide(multiply(inverse(X0),X1),inverse(X1))=X0)),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f64,f63])).
% 0.09/0.39 fof(f84,plain,(
% 0.09/0.39 ![X0,X1]: (double_divide(inverse(X0),inverse(multiply(inverse(X1),X1)))=X0)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f64,f65])).
% 0.09/0.39 fof(f85,plain,(
% 0.09/0.39 ![X0,X1]: (double_divide(inverse(multiply(inverse(X0),X0)),inverse(X1))=X1)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f64,f44])).
% 0.09/0.39 fof(f200,plain,(
% 0.09/0.39 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f84,f85])).
% 0.09/0.39 fof(f214,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(backward_subsumption_resolution,[status(thm)],[f6,f200])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.045120 seconds
% 0.13/0.41 % CPU time: 0.167161 seconds
% 0.13/0.41 % Total memory used: 11.102 MB
% 0.13/0.41 % Net memory used: 11.004 MB
%------------------------------------------------------------------------------