%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP588-1 : 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 : 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 12:36:51 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP588-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n014.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 20:17:20 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f1,axiom,(
% 0.12/0.37 (![A,B,C]: (double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = C ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f2,axiom,(
% 0.12/0.37 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f3,negated_conjecture,(
% 0.12/0.37 multiply(a,b) != multiply(b,a) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f4,plain,(
% 0.12/0.37 ![X0,X1,X2]: (double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1)))=X2)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.37 fof(f5,plain,(
% 0.12/0.37 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.37 fof(f6,plain,(
% 0.12/0.37 ~multiply(a,b)=multiply(b,a)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.37 fof(f10,plain,(
% 0.12/0.37 ![X0,X1,X2]: (double_divide(X0,inverse(double_divide(multiply(inverse(X1),double_divide(X0,X2)),X2)))=X1)),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.12/0.37 fof(f11,plain,(
% 0.12/0.37 ![X0,X1,X2]: (double_divide(X0,multiply(X1,multiply(inverse(X2),double_divide(X0,X1))))=X2)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f5,f10])).
% 0.12/0.37 fof(f12,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (double_divide(X0,multiply(X1,multiply(multiply(X2,X3),double_divide(X0,X1))))=double_divide(X3,X2))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f5,f11])).
% 0.12/0.37 fof(f13,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (double_divide(X0,multiply(multiply(X1,multiply(inverse(X2),double_divide(X0,X1))),multiply(inverse(X3),X2)))=X3)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f11,f11])).
% 0.12/0.37 fof(f14,plain,(
% 0.12/0.37 ![X0,X1,X2]: (multiply(multiply(X0,multiply(inverse(X1),double_divide(X2,X0))),X2)=inverse(X1))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f11,f5])).
% 0.12/0.37 fof(f38,plain,(
% 0.12/0.37 ![X0,X1]: (double_divide(multiply(inverse(X0),X1),inverse(X1))=X0)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f14,f13])).
% 0.12/0.37 fof(f56,plain,(
% 0.12/0.37 ![X0,X1]: (multiply(inverse(X0),multiply(inverse(X1),X0))=inverse(X1))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f38,f5])).
% 0.12/0.37 fof(f60,plain,(
% 0.12/0.37 ![X0,X1]: (double_divide(inverse(X0),inverse(multiply(inverse(X0),X1)))=X1)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f56,f38])).
% 0.12/0.37 fof(f68,plain,(
% 0.12/0.37 ![X0,X1]: (double_divide(inverse(X0),inverse(inverse(X1)))=multiply(inverse(X1),X0))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f56,f60])).
% 0.12/0.37 fof(f79,plain,(
% 0.12/0.37 ![X0,X1,X2]: (double_divide(inverse(X0),inverse(multiply(X1,X2)))=multiply(inverse(double_divide(X2,X1)),X0))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f5,f68])).
% 0.12/0.37 fof(f86,plain,(
% 0.12/0.37 ![X0,X1]: (multiply(multiply(inverse(X0),X1),X0)=X1)),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f87,f60])).
% 0.12/0.37 fof(f87,plain,(
% 0.12/0.37 ![X0,X1,X2]: (double_divide(inverse(X0),inverse(multiply(X1,X2)))=multiply(multiply(X1,X2),X0))),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f5,f79])).
% 0.12/0.37 fof(f91,plain,(
% 0.12/0.37 ![X0,X1,X2]: (multiply(multiply(multiply(X0,X1),X2),double_divide(X1,X0))=X2)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f5,f86])).
% 0.12/0.37 fof(f105,plain,(
% 0.12/0.37 ![X0,X1]: (multiply(X0,double_divide(X0,inverse(X1)))=X1)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f86,f91])).
% 0.12/0.37 fof(f125,plain,(
% 0.12/0.37 ![X0,X1,X2]: (double_divide(multiply(X0,X1),multiply(inverse(X2),X2))=double_divide(X1,X0))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f105,f12])).
% 0.12/0.37 fof(f127,plain,(
% 0.12/0.37 ![X0,X1,X2]: (double_divide(inverse(X0),multiply(multiply(inverse(X1),X1),multiply(inverse(X2),X0)))=X2)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f105,f13])).
% 0.12/0.37 fof(f129,plain,(
% 0.12/0.37 ![X0,X1]: (multiply(X0,X1)=double_divide(inverse(X1),inverse(X0)))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f105,f86])).
% 0.12/0.37 fof(f153,plain,(
% 0.12/0.37 ![X0,X1,X2]: (multiply(double_divide(X0,X1),X2)=double_divide(inverse(X2),multiply(X1,X0)))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f5,f129])).
% 0.12/0.37 fof(f154,plain,(
% 0.12/0.37 ![X0,X1]: (multiply(inverse(X0),multiply(X1,X0))=X1)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f129,f105])).
% 0.12/0.38 fof(f169,plain,(
% 0.12/0.38 ![X0,X1,X2]: (multiply(double_divide(multiply(inverse(X0),X1),multiply(inverse(X2),X2)),X1)=X0)),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f153,f127])).
% 0.12/0.38 fof(f190,plain,(
% 0.12/0.38 ![X0,X1]: (multiply(double_divide(X0,inverse(X1)),X0)=X1)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f125,f169])).
% 0.12/0.38 fof(f192,plain,(
% 0.12/0.38 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f129,f190])).
% 0.12/0.38 fof(f236,plain,(
% 0.12/0.38 ![X0]: (X0=inverse(inverse(X0)))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f86,f192])).
% 0.12/0.38 fof(f244,plain,(
% 0.12/0.38 ![X0,X1]: (multiply(inverse(inverse(X0)),X1)=multiply(X1,X0))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f192,f154])).
% 0.12/0.38 fof(f250,plain,(
% 0.12/0.38 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f236,f244])).
% 0.12/0.38 fof(f251,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(backward_subsumption_resolution,[status(thm)],[f6,f250])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.045444 seconds
% 0.12/0.40 % CPU time: 0.174360 seconds
% 0.12/0.40 % Total memory used: 8.570 MB
% 0.12/0.40 % Net memory used: 8.389 MB
%------------------------------------------------------------------------------