%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP611-1 : 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 : 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 0.08s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP611-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:17:48 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.37 fof(f1,axiom,(
% 0.08/0.37 (![A,B,C]: (inverse(double_divide(inverse(double_divide(inverse(double_divide(A,B)),C)),double_divide(A,C))) = B ))),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f2,axiom,(
% 0.08/0.37 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f3,negated_conjecture,(
% 0.08/0.37 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f4,plain,(
% 0.08/0.37 ![X0,X1,X2]: (inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,X2)))=X1)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.37 fof(f5,plain,(
% 0.08/0.37 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.37 fof(f6,plain,(
% 0.08/0.37 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.37 fof(f12,plain,(
% 0.08/0.37 ![X0,X1,X2]: (multiply(double_divide(X0,X1),inverse(double_divide(inverse(double_divide(X0,X2)),X1)))=X2)),
% 0.08/0.37 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.08/0.37 fof(f13,plain,(
% 0.08/0.37 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(X1,inverse(double_divide(X0,X2))))=X2)),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f5,f12])).
% 0.08/0.37 fof(f14,plain,(
% 0.08/0.37 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0)))=X2)),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f5,f13])).
% 0.08/0.37 fof(f15,plain,(
% 0.08/0.37 ![X0,X1,X2]: (multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0)=X2)),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f14,f14])).
% 0.08/0.37 fof(f16,plain,(
% 0.08/0.37 ![X0,X1,X2,X3]: (multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),multiply(X3,X1))=double_divide(X2,X0))),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f14,f14])).
% 0.08/0.37 fof(f35,plain,(
% 0.08/0.37 ![X0,X1,X2]: (X0=double_divide(X1,multiply(double_divide(multiply(X2,X1),X0),X2)))),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f15,f16])).
% 0.08/0.37 fof(f63,plain,(
% 0.08/0.37 ![X0,X1,X2,X3]: (multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),X0)=double_divide(X2,multiply(X3,X1)))),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f35,f35])).
% 0.08/0.37 fof(f76,plain,(
% 0.08/0.37 ![X0,X1,X2]: (multiply(multiply(double_divide(multiply(X0,X1),X2),X0),X1)=inverse(X2))),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f35,f5])).
% 0.08/0.37 fof(f161,plain,(
% 0.08/0.37 ![X0,X1,X2,X3]: (multiply(double_divide(X0,multiply(double_divide(multiply(X1,multiply(X2,X0)),X3),X1)),inverse(X3))=X2)),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f76,f14])).
% 0.08/0.37 fof(f178,plain,(
% 0.08/0.37 ![X0,X1,X2]: (multiply(double_divide(X0,double_divide(X0,multiply(X1,X2))),inverse(X1))=X2)),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f63,f161])).
% 0.08/0.37 fof(f187,plain,(
% 0.08/0.37 ![X0,X1,X2]: (multiply(X0,X1)=inverse(double_divide(multiply(inverse(X2),X1),multiply(X2,X0))))),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f178,f76])).
% 0.08/0.37 fof(f209,plain,(
% 0.08/0.37 ![X0,X1,X2]: (multiply(X0,X1)=multiply(multiply(X2,X0),multiply(inverse(X2),X1)))),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f5,f187])).
% 0.08/0.37 fof(f221,plain,(
% 0.08/0.37 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(X1,X2)),X3)=multiply(X1,multiply(inverse(double_divide(X2,X0)),X3)))),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f14,f209])).
% 0.08/0.37 fof(f244,plain,(
% 0.08/0.37 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(X1,X2)),X3)=multiply(X1,multiply(multiply(X0,X2),X3)))),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f5,f221])).
% 0.08/0.37 fof(f248,plain,(
% 0.08/0.37 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(multiply(X3,X1),multiply(inverse(X3),X2))))),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f209,f244])).
% 0.08/0.37 fof(f278,plain,(
% 0.08/0.37 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.08/0.37 inference(backward_demodulation,[status(thm)],[f308,f6])).
% 0.08/0.37 fof(f308,plain,(
% 0.08/0.37 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f209,f248])).
% 0.08/0.37 fof(f376,plain,(
% 0.08/0.37 $false),
% 0.08/0.37 inference(trivial_equality_resolution,[status(thm)],[f278])).
% 0.08/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.032757 seconds
% 0.12/0.39 % CPU time: 0.111512 seconds
% 0.12/0.39 % Total memory used: 5.813 MB
% 0.12/0.39 % Net memory used: 5.794 MB
%------------------------------------------------------------------------------