%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP612-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 0.04s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP612-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 20 20:17:52 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 % Drodi V4.1.1
% 0.04/0.36 % Refutation found
% 0.04/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.04/0.36 fof(f1,axiom,(
% 0.04/0.36 (![A,B,C]: (inverse(double_divide(inverse(double_divide(inverse(double_divide(A,B)),C)),double_divide(A,C))) = B ))),
% 0.04/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/0.36 fof(f2,axiom,(
% 0.04/0.36 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.04/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/0.36 fof(f3,negated_conjecture,(
% 0.04/0.36 multiply(a,b) != multiply(b,a) ),
% 0.04/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/0.36 fof(f4,plain,(
% 0.04/0.36 ![X0,X1,X2]: (inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,X2)))=X1)),
% 0.04/0.36 inference(cnf_transformation,[status(thm)],[f1])).
% 0.04/0.36 fof(f5,plain,(
% 0.04/0.36 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.04/0.36 inference(cnf_transformation,[status(thm)],[f2])).
% 0.04/0.36 fof(f6,plain,(
% 0.04/0.36 ~multiply(a,b)=multiply(b,a)),
% 0.04/0.36 inference(cnf_transformation,[status(thm)],[f3])).
% 0.04/0.36 fof(f10,plain,(
% 0.04/0.36 ![X0,X1,X2]: (multiply(double_divide(X0,X1),inverse(double_divide(inverse(double_divide(X0,X2)),X1)))=X2)),
% 0.04/0.36 inference(forward_demodulation,[status(thm)],[f5,f4])).
% 0.04/0.36 fof(f11,plain,(
% 0.04/0.36 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(X1,inverse(double_divide(X0,X2))))=X2)),
% 0.04/0.36 inference(forward_demodulation,[status(thm)],[f5,f10])).
% 0.04/0.36 fof(f12,plain,(
% 0.04/0.36 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0)))=X2)),
% 0.04/0.36 inference(forward_demodulation,[status(thm)],[f5,f11])).
% 0.04/0.36 fof(f13,plain,(
% 0.04/0.36 ![X0,X1,X2]: (multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0)=X2)),
% 0.04/0.36 inference(paramodulation,[status(thm)],[f12,f12])).
% 0.04/0.36 fof(f14,plain,(
% 0.04/0.36 ![X0,X1,X2,X3]: (multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),multiply(X3,X1))=double_divide(X2,X0))),
% 0.04/0.36 inference(paramodulation,[status(thm)],[f12,f12])).
% 0.04/0.36 fof(f19,plain,(
% 0.04/0.36 ![X0,X1,X2]: (X0=double_divide(X1,multiply(double_divide(multiply(X2,X1),X0),X2)))),
% 0.04/0.36 inference(paramodulation,[status(thm)],[f13,f14])).
% 0.04/0.36 fof(f33,plain,(
% 0.04/0.36 ![X0,X1,X2]: (X0=double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))))),
% 0.04/0.36 inference(paramodulation,[status(thm)],[f14,f19])).
% 0.04/0.36 fof(f42,plain,(
% 0.04/0.36 ![X0,X1,X2]: (multiply(multiply(double_divide(multiply(X0,X1),X2),X0),X1)=inverse(X2))),
% 0.04/0.36 inference(paramodulation,[status(thm)],[f19,f5])).
% 0.04/0.36 fof(f72,plain,(
% 0.04/0.36 ![X0,X1,X2]: (multiply(double_divide(X0,multiply(X1,X2)),multiply(X2,X0))=inverse(X1))),
% 0.04/0.36 inference(paramodulation,[status(thm)],[f33,f5])).
% 0.04/0.36 fof(f106,plain,(
% 0.04/0.36 ![X0,X1,X2]: (multiply(double_divide(X0,double_divide(X0,multiply(X1,X2))),inverse(X1))=X2)),
% 0.04/0.36 inference(paramodulation,[status(thm)],[f72,f12])).
% 0.04/0.36 fof(f131,plain,(
% 0.04/0.36 ![X0,X1,X2]: (double_divide(multiply(inverse(X0),X1),multiply(X0,X2))=double_divide(X1,X2))),
% 0.04/0.36 inference(paramodulation,[status(thm)],[f106,f19])).
% 0.04/0.36 fof(f232,plain,(
% 0.04/0.36 ![X0,X1,X2]: (multiply(X0,X1)=double_divide(X2,multiply(double_divide(X2,X1),inverse(X0))))),
% 0.04/0.36 inference(paramodulation,[status(thm)],[f131,f19])).
% 0.04/0.36 fof(f251,plain,(
% 0.04/0.36 ![X0,X1,X2]: (multiply(X0,double_divide(X1,multiply(X0,X2)))=double_divide(X1,X2))),
% 0.04/0.36 inference(paramodulation,[status(thm)],[f106,f232])).
% 0.04/0.36 fof(f273,plain,(
% 0.04/0.36 ![X0,X1,X2]: (multiply(double_divide(multiply(X0,X1),X2),X2)=double_divide(X1,X0))),
% 0.04/0.36 inference(paramodulation,[status(thm)],[f19,f251])).
% 0.04/0.36 fof(f303,plain,(
% 0.04/0.36 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X1,X0))),
% 0.04/0.36 inference(paramodulation,[status(thm)],[f72,f273])).
% 0.04/0.36 fof(f308,plain,(
% 0.04/0.36 ![X0,X1,X2,X3]: (multiply(double_divide(inverse(X0),X1),X1)=double_divide(X2,multiply(double_divide(multiply(X3,X2),X0),X3)))),
% 0.04/0.36 inference(paramodulation,[status(thm)],[f42,f273])).
% 0.04/0.36 fof(f343,plain,(
% 0.04/0.36 ![X0,X1]: (multiply(double_divide(inverse(X0),X1),X1)=X0)),
% 0.04/0.36 inference(forward_demodulation,[status(thm)],[f19,f308])).
% 0.04/0.36 fof(f420,plain,(
% 0.04/0.36 ![X0,X1,X2]: (inverse(inverse(X0))=double_divide(X1,multiply(double_divide(multiply(X2,X1),X0),X2)))),
% 0.04/0.36 inference(paramodulation,[status(thm)],[f42,f303])).
% 0.04/0.36 fof(f434,plain,(
% 0.04/0.36 ![X0]: (inverse(inverse(X0))=X0)),
% 0.04/0.36 inference(forward_demodulation,[status(thm)],[f19,f420])).
% 0.04/0.36 fof(f450,plain,(
% 0.04/0.36 ![X0,X1]: (multiply(double_divide(X0,X1),X1)=inverse(X0))),
% 0.04/0.36 inference(paramodulation,[status(thm)],[f434,f343])).
% 0.04/0.36 fof(f870,plain,(
% 0.04/0.36 ![X0,X1]: (inverse(inverse(X0))=double_divide(X1,double_divide(X0,X1)))),
% 0.04/0.36 inference(paramodulation,[status(thm)],[f450,f303])).
% 0.04/0.36 fof(f895,plain,(
% 0.04/0.36 ![X0,X1]: (X0=double_divide(X1,double_divide(X0,X1)))),
% 0.04/0.36 inference(forward_demodulation,[status(thm)],[f434,f870])).
% 0.04/0.36 fof(f920,plain,(
% 0.04/0.36 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.04/0.36 inference(paramodulation,[status(thm)],[f895,f13])).
% 0.04/0.36 fof(f1007,plain,(
% 0.04/0.36 $false),
% 0.04/0.36 inference(backward_subsumption_resolution,[status(thm)],[f6,f920])).
% 0.04/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.37 % Elapsed time: 0.068059 seconds
% 0.19/0.37 % CPU time: 0.457478 seconds
% 0.19/0.37 % Total memory used: 32.645 MB
% 0.19/0.37 % Net memory used: 32.415 MB
%------------------------------------------------------------------------------