%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP613-1 : 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 : 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 12:36:54 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP613-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:17:42 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.15/0.37 % Drodi V4.1.1
% 0.15/0.42 % Refutation found
% 0.15/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.42 fof(f1,axiom,(
% 0.15/0.42 (![A,B,C]: (double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = B ))),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f2,axiom,(
% 0.15/0.42 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f3,negated_conjecture,(
% 0.15/0.42 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f4,plain,(
% 0.15/0.42 ![X0,X1,X2]: (double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2))=X1)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.42 fof(f5,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.42 fof(f6,plain,(
% 0.15/0.42 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.42 fof(f12,plain,(
% 0.15/0.42 ![X0,X1,X2]: (double_divide(multiply(X0,inverse(double_divide(X1,inverse(X2)))),double_divide(X1,X0))=X2)),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.15/0.42 fof(f13,plain,(
% 0.15/0.42 ![X0,X1,X2]: (double_divide(multiply(X0,multiply(inverse(X1),X2)),double_divide(X2,X0))=X1)),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f5,f12])).
% 0.15/0.42 fof(f14,plain,(
% 0.15/0.42 ![X0,X1,X2,X3]: (double_divide(multiply(X0,multiply(multiply(X1,X2),X3)),double_divide(X3,X0))=double_divide(X2,X1))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f5,f13])).
% 0.15/0.42 fof(f16,plain,(
% 0.15/0.42 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(X1,multiply(inverse(X2),X0)))=inverse(X2))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f13,f5])).
% 0.15/0.42 fof(f20,plain,(
% 0.15/0.42 ![X0,X1,X2]: (double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2))))=X2)),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f16,f13])).
% 0.15/0.42 fof(f35,plain,(
% 0.15/0.42 ![X0,X1,X2,X3]: (multiply(X0,multiply(double_divide(multiply(inverse(X1),X2),double_divide(X2,inverse(X0))),multiply(inverse(X3),inverse(X1))))=inverse(X3))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f20,f16])).
% 0.15/0.42 fof(f62,plain,(
% 0.15/0.42 ![X0,X1,X2,X3,X4]: (multiply(double_divide(multiply(double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(inverse(X2)))),multiply(inverse(X3),inverse(X0))),X4),multiply(X4,inverse(X3)))=inverse(X2))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f35,f16])).
% 0.15/0.42 fof(f96,plain,(
% 0.15/0.42 ![X0,X1,X2,X3]: (multiply(X0,multiply(double_divide(inverse(X1),double_divide(multiply(inverse(X1),X2),double_divide(X2,inverse(inverse(X3))))),inverse(X0)))=inverse(X3))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f13,f62])).
% 0.15/0.42 fof(f110,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(X0,multiply(inverse(X1),inverse(X0)))=inverse(X1))),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f20,f96])).
% 0.15/0.42 fof(f129,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(double_divide(inverse(X0),X0),inverse(X1))=inverse(X1))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f110,f16])).
% 0.15/0.42 fof(f163,plain,(
% 0.15/0.42 ![X0,X1,X2]: (multiply(double_divide(inverse(X0),X0),multiply(X1,X2))=inverse(double_divide(X2,X1)))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f5,f129])).
% 0.15/0.42 fof(f172,plain,(
% 0.15/0.42 ![X0,X1,X2]: (multiply(double_divide(inverse(X0),X0),multiply(X1,X2))=multiply(X1,X2))),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f5,f163])).
% 0.15/0.42 fof(f215,plain,(
% 0.15/0.42 ![X0,X1]: (inverse(X0)=multiply(inverse(X0),inverse(double_divide(inverse(X1),X1))))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f110,f172])).
% 0.15/0.42 fof(f241,plain,(
% 0.15/0.42 ![X0,X1]: (inverse(X0)=multiply(inverse(X0),multiply(X1,inverse(X1))))),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f5,f215])).
% 0.15/0.42 fof(f266,plain,(
% 0.15/0.42 ![X0,X1,X2]: (double_divide(inverse(X0),double_divide(inverse(X0),double_divide(multiply(X1,inverse(X1)),inverse(X2))))=X2)),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f241,f20])).
% 0.15/0.42 fof(f273,plain,(
% 0.15/0.42 ![X0,X1]: (double_divide(inverse(X0),double_divide(inverse(inverse(X1)),inverse(X0)))=X1)),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f241,f13])).
% 0.15/0.42 fof(f277,plain,(
% 0.15/0.42 ![X0,X1,X2,X3]: (double_divide(multiply(X0,multiply(inverse(X1),X2)),double_divide(X2,X0))=double_divide(multiply(X3,inverse(X3)),inverse(X1)))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f241,f14])).
% 0.15/0.42 fof(f286,plain,(
% 0.15/0.42 ![X0,X1]: (double_divide(inverse(X0),double_divide(inverse(X0),X1))=X1)),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f288,f266])).
% 0.15/0.42 fof(f288,plain,(
% 0.15/0.42 ![X0,X1]: (X0=double_divide(multiply(X1,inverse(X1)),inverse(X0)))),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f13,f277])).
% 0.15/0.42 fof(f303,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(double_divide(inverse(X0),X1),inverse(X0))=inverse(X1))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f286,f5])).
% 0.15/0.42 fof(f427,plain,(
% 0.15/0.42 ![X0]: (inverse(inverse(X0))=X0)),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f286,f273])).
% 0.15/0.42 fof(f499,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(double_divide(inverse(inverse(X0)),X1),X0)=inverse(X1))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f427,f303])).
% 0.15/0.42 fof(f507,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(double_divide(inverse(X0),X0),X1)=inverse(inverse(X1)))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f427,f129])).
% 0.15/0.42 fof(f514,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X0)))=inverse(inverse(X1)))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f427,f110])).
% 0.15/0.42 fof(f527,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(double_divide(X0,X1),X0)=inverse(X1))),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f427,f499])).
% 0.15/0.42 fof(f541,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(double_divide(inverse(X0),X0),X1)=X1)),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f427,f507])).
% 0.15/0.42 fof(f554,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X0)))=X1)),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f427,f514])).
% 0.15/0.42 fof(f569,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(X0,inverse(X1))=double_divide(inverse(X0),X1))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f527,f554])).
% 0.15/0.42 fof(f570,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(inverse(X0),multiply(X1,X0))=X1)),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f427,f554])).
% 0.15/0.42 fof(f597,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(multiply(X0,inverse(X0)),X1)=X1)),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f569,f541])).
% 0.15/0.42 fof(f738,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=X1)),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f427,f597])).
% 0.15/0.42 fof(f758,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f738,f570])).
% 0.15/0.42 fof(f766,plain,(
% 0.15/0.42 $false),
% 0.15/0.42 inference(backward_subsumption_resolution,[status(thm)],[f6,f758])).
% 0.15/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.44 % Elapsed time: 0.066670 seconds
% 0.15/0.44 % CPU time: 0.302044 seconds
% 0.15/0.44 % Total memory used: 17.061 MB
% 0.15/0.44 % Net memory used: 16.839 MB
%------------------------------------------------------------------------------