%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP585-1 : 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 : 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 12:36:51 PM UTC 2026
% Result : Unsatisfiable 0.04s 0.31s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP585-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.29 % Computer : n012.cluster.edu
% 0.04/0.29 % Model : x86_64 x86_64
% 0.04/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.29 % Memory : 8046.5625MB
% 0.04/0.29 % OS : Linux 6.8.0-71-generic
% 0.04/0.29 % CPULimit : 300
% 0.04/0.29 % WCLimit : 300
% 0.04/0.29 % DateTime : Sun Sep 20 20:17:21 UTC 2026
% 0.04/0.29 % CPUTime :
% 0.04/0.30 % Drodi V4.1.1
% 0.04/0.31 % Refutation found
% 0.04/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.04/0.31 fof(f1,axiom,(
% 0.04/0.31 (![A,B,C]: (double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = C ))),
% 0.04/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.31 fof(f2,axiom,(
% 0.04/0.31 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.04/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.31 fof(f3,negated_conjecture,(
% 0.04/0.31 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.04/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.31 fof(f4,plain,(
% 0.04/0.31 ![X0,X1,X2]: (double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1)))=X2)),
% 0.04/0.31 inference(cnf_transformation,[status(thm)],[f1])).
% 0.04/0.31 fof(f5,plain,(
% 0.04/0.31 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.04/0.31 inference(cnf_transformation,[status(thm)],[f2])).
% 0.04/0.31 fof(f6,plain,(
% 0.04/0.31 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.04/0.31 inference(cnf_transformation,[status(thm)],[f3])).
% 0.04/0.31 fof(f12,plain,(
% 0.04/0.31 ![X0,X1,X2]: (double_divide(X0,inverse(double_divide(multiply(inverse(X1),double_divide(X0,X2)),X2)))=X1)),
% 0.04/0.31 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.04/0.31 fof(f13,plain,(
% 0.04/0.31 ![X0,X1,X2]: (double_divide(X0,multiply(X1,multiply(inverse(X2),double_divide(X0,X1))))=X2)),
% 0.04/0.31 inference(forward_demodulation,[status(thm)],[f5,f12])).
% 0.04/0.31 fof(f14,plain,(
% 0.04/0.31 ![X0,X1,X2,X3]: (double_divide(X0,multiply(X1,multiply(multiply(X2,X3),double_divide(X0,X1))))=double_divide(X3,X2))),
% 0.04/0.31 inference(paramodulation,[status(thm)],[f5,f13])).
% 0.04/0.31 fof(f16,plain,(
% 0.04/0.31 ![X0,X1,X2]: (multiply(multiply(X0,multiply(inverse(X1),double_divide(X2,X0))),X2)=inverse(X1))),
% 0.04/0.31 inference(paramodulation,[status(thm)],[f13,f5])).
% 0.04/0.31 fof(f18,plain,(
% 0.04/0.31 ![X0,X1,X2,X3]: (multiply(multiply(multiply(X0,multiply(inverse(X1),double_divide(X2,X0))),multiply(inverse(X3),X1)),X2)=inverse(X3))),
% 0.04/0.31 inference(paramodulation,[status(thm)],[f13,f16])).
% 0.04/0.31 fof(f20,plain,(
% 0.04/0.31 ![X0,X1]: (multiply(inverse(X0),multiply(inverse(X1),X0))=inverse(X1))),
% 0.04/0.31 inference(paramodulation,[status(thm)],[f16,f18])).
% 0.04/0.31 fof(f26,plain,(
% 0.04/0.31 ![X0,X1]: (multiply(inverse(multiply(inverse(X0),X1)),inverse(X0))=inverse(X1))),
% 0.04/0.31 inference(paramodulation,[status(thm)],[f20,f20])).
% 0.04/0.31 fof(f46,plain,(
% 0.04/0.31 ![X0,X1]: (multiply(inverse(inverse(X0)),inverse(X1))=inverse(multiply(inverse(X0),X1)))),
% 0.04/0.31 inference(paramodulation,[status(thm)],[f20,f26])).
% 0.04/0.31 fof(f51,plain,(
% 0.04/0.31 ![X0,X1,X2,X3]: (double_divide(X0,multiply(X1,multiply(inverse(X2),double_divide(X0,X1))))=double_divide(inverse(X3),inverse(multiply(inverse(X3),X2))))),
% 0.04/0.31 inference(paramodulation,[status(thm)],[f26,f14])).
% 0.04/0.31 fof(f55,plain,(
% 0.04/0.31 ![X0,X1]: (X0=double_divide(inverse(X1),inverse(multiply(inverse(X1),X0))))),
% 0.04/0.31 inference(forward_demodulation,[status(thm)],[f13,f51])).
% 0.04/0.31 fof(f61,plain,(
% 0.04/0.31 ![X0,X1,X2,X3]: (double_divide(X0,multiply(X1,multiply(inverse(multiply(inverse(X2),X3)),double_divide(X0,X1))))=double_divide(inverse(X3),inverse(inverse(X2))))),
% 0.04/0.31 inference(paramodulation,[status(thm)],[f46,f14])).
% 0.04/0.31 fof(f67,plain,(
% 0.04/0.31 ![X0,X1]: (multiply(inverse(X0),X1)=double_divide(inverse(X1),inverse(inverse(X0))))),
% 0.04/0.31 inference(forward_demodulation,[status(thm)],[f13,f61])).
% 0.04/0.31 fof(f69,plain,(
% 0.04/0.31 ![X0,X1,X2]: (multiply(inverse(double_divide(X0,X1)),X2)=double_divide(inverse(X2),inverse(multiply(X1,X0))))),
% 0.04/0.31 inference(paramodulation,[status(thm)],[f5,f67])).
% 0.04/0.31 fof(f75,plain,(
% 0.04/0.31 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X0),X1))),
% 0.04/0.31 inference(backward_demodulation,[status(thm)],[f76,f55])).
% 0.04/0.31 fof(f76,plain,(
% 0.04/0.31 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=double_divide(inverse(X2),inverse(multiply(X0,X1))))),
% 0.04/0.31 inference(forward_demodulation,[status(thm)],[f5,f69])).
% 0.04/0.31 fof(f78,plain,(
% 0.04/0.31 ![X0,X1]: (multiply(inverse(X0),double_divide(X1,inverse(X1)))=inverse(X0))),
% 0.04/0.31 inference(paramodulation,[status(thm)],[f16,f75])).
% 0.04/0.31 fof(f89,plain,(
% 0.04/0.31 ![X0,X1]: (multiply(inverse(X0),multiply(inverse(X1),X1))=inverse(X0))),
% 0.04/0.31 inference(paramodulation,[status(thm)],[f67,f78])).
% 0.04/0.31 fof(f145,plain,(
% 0.04/0.31 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 0.04/0.31 inference(paramodulation,[status(thm)],[f89,f75])).
% 0.04/0.31 fof(f156,plain,(
% 0.04/0.31 $false),
% 0.04/0.31 inference(backward_subsumption_resolution,[status(thm)],[f6,f145])).
% 0.04/0.31 % SZS output end CNFRefutation for theBenchmark.p
% 0.04/0.32 % Elapsed time: 0.019613 seconds
% 0.04/0.32 % CPU time: 0.061083 seconds
% 0.04/0.32 % Total memory used: 5.370 MB
% 0.04/0.32 % Net memory used: 5.357 MB
%------------------------------------------------------------------------------