%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP598-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 12:36:52 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP598-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n014.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 20:17:34 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 % Drodi V4.1.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40 fof(f1,axiom,(
% 0.15/0.40 (![A,B,C]: (double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = C ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f2,axiom,(
% 0.15/0.40 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f3,negated_conjecture,(
% 0.15/0.40 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f4,plain,(
% 0.15/0.40 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1)))))=X2)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.40 fof(f5,plain,(
% 0.15/0.40 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.40 fof(f6,plain,(
% 0.15/0.40 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.40 fof(f11,plain,(
% 0.15/0.40 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(double_divide(X0,multiply(X1,inverse(X2)))))=X2)),
% 0.15/0.40 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.15/0.40 fof(f12,plain,(
% 0.15/0.40 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,inverse(X2)),X0))=X2)),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f5,f11])).
% 0.15/0.40 fof(f13,plain,(
% 0.15/0.40 ![X0,X1,X2,X3]: (double_divide(X0,multiply(multiply(multiply(multiply(X1,inverse(X0)),X2),inverse(X3)),double_divide(X2,X1)))=X3)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f12,f12])).
% 0.15/0.40 fof(f15,plain,(
% 0.15/0.40 ![X0,X1,X2]: (multiply(multiply(multiply(X0,inverse(X1)),X2),double_divide(X2,X0))=inverse(X1))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f12,f5])).
% 0.15/0.40 fof(f18,plain,(
% 0.15/0.40 ![X0,X1,X2,X3]: (multiply(multiply(multiply(multiply(multiply(X0,inverse(X1)),X2),inverse(X3)),double_divide(X2,X0)),X1)=inverse(X3))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f12,f15])).
% 0.15/0.40 fof(f179,plain,(
% 0.15/0.40 ![X0,X1,X2,X3]: (multiply(multiply(inverse(X0),double_divide(double_divide(X1,X2),multiply(multiply(X2,inverse(inverse(X3))),X1))),X0)=inverse(X3))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f18,f18])).
% 0.15/0.40 fof(f192,plain,(
% 0.15/0.40 ![X0,X1,X2,X3]: (double_divide(X0,multiply(inverse(X0),double_divide(double_divide(X1,X2),multiply(multiply(X2,inverse(inverse(X3))),X1))))=X3)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f18,f13])).
% 0.15/0.40 fof(f212,plain,(
% 0.15/0.40 ![X0,X1]: (multiply(multiply(inverse(X0),inverse(X1)),X0)=inverse(X1))),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f12,f179])).
% 0.15/0.40 fof(f214,plain,(
% 0.15/0.40 ![X0,X1]: (double_divide(X0,multiply(inverse(X0),inverse(X1)))=X1)),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f12,f192])).
% 0.15/0.40 fof(f245,plain,(
% 0.15/0.40 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),inverse(X2)))=X2)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f5,f214])).
% 0.15/0.40 fof(f265,plain,(
% 0.15/0.40 ![X0,X1]: (multiply(inverse(X0),double_divide(X1,inverse(X1)))=inverse(X0))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f212,f15])).
% 0.15/0.40 fof(f266,plain,(
% 0.15/0.40 ![X0,X1]: (double_divide(double_divide(X0,inverse(X0)),inverse(X1))=X1)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f212,f12])).
% 0.15/0.40 fof(f299,plain,(
% 0.15/0.40 ![X0,X1,X2]: (double_divide(double_divide(X0,inverse(X0)),multiply(X1,X2))=double_divide(X2,X1))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f5,f266])).
% 0.15/0.40 fof(f528,plain,(
% 0.15/0.40 ![X0,X1]: (X0=double_divide(inverse(X0),multiply(inverse(X1),X1)))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f245,f299])).
% 0.15/0.40 fof(f612,plain,(
% 0.15/0.40 ![X0,X1,X2]: (double_divide(X0,multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),inverse(X0)))=X2)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f528,f12])).
% 0.15/0.40 fof(f613,plain,(
% 0.15/0.40 ![X0,X1]: (multiply(multiply(inverse(X0),X0),inverse(X1))=inverse(X1))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f528,f5])).
% 0.15/0.40 fof(f615,plain,(
% 0.15/0.40 ![X0,X1]: (double_divide(X0,multiply(inverse(X1),inverse(X0)))=X1)),
% 0.15/0.40 inference(backward_demodulation,[status(thm)],[f613,f612])).
% 0.15/0.40 fof(f624,plain,(
% 0.15/0.40 ![X0]: (X0=inverse(inverse(X0)))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f528,f615])).
% 0.15/0.42 fof(f757,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(X0,double_divide(X1,inverse(X1)))=inverse(inverse(X0)))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f624,f265])).
% 0.15/0.42 fof(f760,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(multiply(inverse(X0),X1),X0)=inverse(inverse(X1)))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f624,f212])).
% 0.15/0.42 fof(f796,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(X0,double_divide(X1,inverse(X1)))=X0)),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f624,f757])).
% 0.15/0.42 fof(f801,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(multiply(inverse(X0),X1),X0)=X1)),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f624,f760])).
% 0.15/0.42 fof(f885,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(inverse(double_divide(X0,inverse(X0))),X1)=X1)),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f796,f801])).
% 0.15/0.42 fof(f892,plain,(
% 0.15/0.42 ~a2=a2),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f897,f6])).
% 0.15/0.42 fof(f897,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=X1)),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f5,f885])).
% 0.15/0.42 fof(f903,plain,(
% 0.15/0.42 $false),
% 0.15/0.42 inference(trivial_equality_resolution,[status(thm)],[f892])).
% 0.15/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.067320 seconds
% 0.15/0.42 % CPU time: 0.381213 seconds
% 0.15/0.42 % Total memory used: 19.999 MB
% 0.15/0.42 % Net memory used: 19.711 MB
%------------------------------------------------------------------------------