%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP614-1 : 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 : n005.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 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP614-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:18:18 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.15/0.49 % Refutation found
% 0.15/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.49 fof(f1,axiom,(
% 0.15/0.49 (![A,B,C]: (double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = B ))),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f2,axiom,(
% 0.15/0.49 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f3,negated_conjecture,(
% 0.15/0.49 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f4,plain,(
% 0.15/0.49 ![X0,X1,X2]: (double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2))=X1)),
% 0.15/0.49 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.49 fof(f5,plain,(
% 0.15/0.49 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.15/0.49 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.49 fof(f6,plain,(
% 0.15/0.49 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.15/0.49 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.49 fof(f11,plain,(
% 0.15/0.49 ![X0,X1,X2]: (double_divide(multiply(X0,inverse(double_divide(X1,inverse(X2)))),double_divide(X1,X0))=X2)),
% 0.15/0.49 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.15/0.49 fof(f12,plain,(
% 0.15/0.49 ![X0,X1,X2]: (double_divide(multiply(X0,multiply(inverse(X1),X2)),double_divide(X2,X0))=X1)),
% 0.15/0.49 inference(forward_demodulation,[status(thm)],[f5,f11])).
% 0.15/0.49 fof(f13,plain,(
% 0.15/0.49 ![X0,X1,X2,X3]: (double_divide(multiply(X0,multiply(multiply(X1,X2),X3)),double_divide(X3,X0))=double_divide(X2,X1))),
% 0.15/0.49 inference(paramodulation,[status(thm)],[f5,f12])).
% 0.15/0.49 fof(f14,plain,(
% 0.15/0.49 ![X0,X1,X2,X3]: (double_divide(multiply(double_divide(X0,X1),multiply(inverse(X2),multiply(X1,multiply(inverse(X3),X0)))),X3)=X2)),
% 0.15/0.49 inference(paramodulation,[status(thm)],[f12,f12])).
% 0.15/0.49 fof(f15,plain,(
% 0.15/0.49 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(X1,multiply(inverse(X2),X0)))=inverse(X2))),
% 0.15/0.49 inference(paramodulation,[status(thm)],[f12,f5])).
% 0.15/0.49 fof(f16,plain,(
% 0.15/0.49 ![X0,X1,X2,X3]: (multiply(X0,multiply(double_divide(X1,X2),multiply(inverse(X3),multiply(X2,multiply(inverse(X0),X1)))))=inverse(X3))),
% 0.15/0.49 inference(paramodulation,[status(thm)],[f12,f15])).
% 0.15/0.49 fof(f19,plain,(
% 0.15/0.49 ![X0,X1,X2]: (double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2))))=X2)),
% 0.15/0.49 inference(paramodulation,[status(thm)],[f15,f12])).
% 0.15/0.49 fof(f21,plain,(
% 0.15/0.49 ![X0,X1,X2,X3]: (double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,multiply(X2,X3))))=double_divide(X3,X2))),
% 0.15/0.49 inference(paramodulation,[status(thm)],[f15,f13])).
% 0.15/0.49 fof(f122,plain,(
% 0.15/0.49 ![X0,X1,X2,X3]: (multiply(X0,multiply(double_divide(multiply(X1,multiply(inverse(inverse(X2)),X3)),double_divide(X3,X1)),inverse(X0)))=inverse(X2))),
% 0.15/0.49 inference(paramodulation,[status(thm)],[f16,f16])).
% 0.15/0.49 fof(f128,plain,(
% 0.15/0.49 ![X0,X1,X2,X3]: (double_divide(multiply(double_divide(multiply(X0,multiply(inverse(inverse(X1)),X2)),double_divide(X2,X0)),inverse(X3)),X3)=X1)),
% 0.15/0.49 inference(paramodulation,[status(thm)],[f16,f14])).
% 0.15/0.49 fof(f143,plain,(
% 0.15/0.49 ![X0,X1]: (multiply(X0,multiply(inverse(X1),inverse(X0)))=inverse(X1))),
% 0.15/0.49 inference(forward_demodulation,[status(thm)],[f12,f122])).
% 0.15/0.49 fof(f145,plain,(
% 0.15/0.49 ![X0,X1]: (double_divide(multiply(inverse(X0),inverse(X1)),X1)=X0)),
% 0.15/0.49 inference(forward_demodulation,[status(thm)],[f12,f128])).
% 0.15/0.49 fof(f152,plain,(
% 0.15/0.49 ![X0,X1,X2]: (double_divide(multiply(inverse(X0),multiply(X1,X2)),double_divide(X2,X1))=X0)),
% 0.15/0.49 inference(paramodulation,[status(thm)],[f5,f145])).
% 0.15/0.49 fof(f178,plain,(
% 0.15/0.49 ![X0,X1]: (multiply(double_divide(inverse(X0),X0),inverse(X1))=inverse(X1))),
% 0.15/0.49 inference(paramodulation,[status(thm)],[f143,f15])).
% 0.15/0.49 fof(f179,plain,(
% 0.15/0.49 ![X0,X1]: (double_divide(inverse(X0),double_divide(inverse(X1),X1))=X0)),
% 0.15/0.49 inference(paramodulation,[status(thm)],[f143,f12])).
% 0.15/0.49 fof(f191,plain,(
% 0.15/0.49 ![X0,X1,X2]: (double_divide(multiply(X0,X1),double_divide(inverse(X2),X2))=double_divide(X1,X0))),
% 0.15/0.49 inference(paramodulation,[status(thm)],[f5,f179])).
% 0.15/0.49 fof(f412,plain,(
% 0.15/0.49 ![X0,X1]: (X0=double_divide(multiply(X1,inverse(X1)),inverse(X0)))),
% 0.15/0.49 inference(paramodulation,[status(thm)],[f152,f191])).
% 0.15/0.50 fof(f487,plain,(
% 0.15/0.50 ![X0,X1,X2]: (double_divide(multiply(inverse(X0),multiply(inverse(X1),multiply(X2,inverse(X2)))),X0)=X1)),
% 0.15/0.50 inference(paramodulation,[status(thm)],[f412,f12])).
% 0.15/0.50 fof(f488,plain,(
% 0.15/0.50 ![X0,X1]: (multiply(inverse(X0),multiply(X1,inverse(X1)))=inverse(X0))),
% 0.15/0.50 inference(paramodulation,[status(thm)],[f412,f5])).
% 0.15/0.50 fof(f490,plain,(
% 0.15/0.50 ![X0,X1]: (double_divide(multiply(inverse(X0),inverse(X1)),X0)=X1)),
% 0.15/0.50 inference(backward_demodulation,[status(thm)],[f488,f487])).
% 0.15/0.50 fof(f499,plain,(
% 0.15/0.50 ![X0]: (X0=inverse(inverse(X0)))),
% 0.15/0.50 inference(paramodulation,[status(thm)],[f412,f490])).
% 0.15/0.50 fof(f509,plain,(
% 0.15/0.50 ![X0,X1,X2,X3]: (double_divide(inverse(X0),double_divide(multiply(inverse(X0),multiply(inverse(multiply(X1,X2)),inverse(X3))),X3))=double_divide(X2,X1))),
% 0.15/0.50 inference(paramodulation,[status(thm)],[f490,f21])).
% 0.15/0.50 fof(f512,plain,(
% 0.15/0.50 ![X0,X1,X2]: (double_divide(inverse(X0),double_divide(multiply(inverse(X0),multiply(inverse(inverse(X1)),inverse(X2))),X2))=X1)),
% 0.15/0.50 inference(paramodulation,[status(thm)],[f490,f19])).
% 0.15/0.50 fof(f565,plain,(
% 0.15/0.50 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X1,X0))),
% 0.15/0.50 inference(backward_demodulation,[status(thm)],[f566,f509])).
% 0.15/0.50 fof(f566,plain,(
% 0.15/0.50 ![X0,X1,X2]: (double_divide(inverse(X0),double_divide(multiply(inverse(X0),multiply(X1,inverse(X2))),X2))=X1)),
% 0.15/0.50 inference(forward_demodulation,[status(thm)],[f499,f512])).
% 0.15/0.50 fof(f670,plain,(
% 0.15/0.50 ![X0,X1]: (multiply(double_divide(inverse(X0),X0),X1)=inverse(inverse(X1)))),
% 0.15/0.50 inference(paramodulation,[status(thm)],[f499,f178])).
% 0.15/0.50 fof(f675,plain,(
% 0.15/0.50 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X0)))=inverse(inverse(X1)))),
% 0.15/0.50 inference(paramodulation,[status(thm)],[f499,f143])).
% 0.15/0.50 fof(f701,plain,(
% 0.15/0.50 ![X0,X1]: (multiply(double_divide(inverse(X0),X0),X1)=X1)),
% 0.15/0.50 inference(forward_demodulation,[status(thm)],[f499,f670])).
% 0.15/0.50 fof(f706,plain,(
% 0.15/0.50 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X0)))=X1)),
% 0.15/0.50 inference(forward_demodulation,[status(thm)],[f499,f675])).
% 0.15/0.50 fof(f735,plain,(
% 0.15/0.50 ![X0,X1]: (multiply(double_divide(X0,inverse(X0)),X1)=X1)),
% 0.15/0.50 inference(paramodulation,[status(thm)],[f499,f701])).
% 0.15/0.50 fof(f754,plain,(
% 0.15/0.50 ![X0,X1]: (multiply(inverse(X0),multiply(X1,X0))=X1)),
% 0.15/0.50 inference(paramodulation,[status(thm)],[f499,f706])).
% 0.15/0.50 fof(f768,plain,(
% 0.15/0.50 ![X0,X1]: (X0=multiply(X0,inverse(double_divide(X1,inverse(X1)))))),
% 0.15/0.50 inference(paramodulation,[status(thm)],[f706,f735])).
% 0.15/0.50 fof(f775,plain,(
% 0.15/0.50 ![X0,X1]: (X0=multiply(X0,multiply(inverse(X1),X1)))),
% 0.15/0.50 inference(forward_demodulation,[status(thm)],[f5,f768])).
% 0.15/0.50 fof(f851,plain,(
% 0.15/0.50 ![X0,X1]: (X0=multiply(X0,inverse(multiply(inverse(X1),X1))))),
% 0.15/0.50 inference(paramodulation,[status(thm)],[f775,f775])).
% 0.15/0.50 fof(f862,plain,(
% 0.15/0.50 ![X0,X1]: (X0=multiply(X0,double_divide(X1,inverse(X1))))),
% 0.15/0.50 inference(forward_demodulation,[status(thm)],[f565,f851])).
% 0.15/0.50 fof(f1154,plain,(
% 0.15/0.50 ![X0,X1]: (multiply(inverse(double_divide(X0,inverse(X0))),X1)=X1)),
% 0.15/0.50 inference(paramodulation,[status(thm)],[f862,f754])).
% 0.15/0.50 fof(f1158,plain,(
% 0.15/0.50 ~a2=a2),
% 0.15/0.50 inference(backward_demodulation,[status(thm)],[f1161,f6])).
% 0.15/0.50 fof(f1161,plain,(
% 0.15/0.50 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=X1)),
% 0.15/0.50 inference(forward_demodulation,[status(thm)],[f5,f1154])).
% 0.15/0.50 fof(f1162,plain,(
% 0.15/0.50 $false),
% 0.15/0.50 inference(trivial_equality_resolution,[status(thm)],[f1158])).
% 0.15/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.34/0.52 % Elapsed time: 0.144635 seconds
% 0.34/0.52 % CPU time: 1.002070 seconds
% 0.34/0.52 % Total memory used: 49.340 MB
% 0.34/0.52 % Net memory used: 48.827 MB
%------------------------------------------------------------------------------