%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP496-1 : 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 : n018.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 12:36:43 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP496-1 : 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 : n018.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 20:16:59 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.08/0.36 % Refutation found
% 0.08/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.36 fof(f1,axiom,(
% 0.08/0.36 (![A,B,C]: (double_divide(double_divide(identity,double_divide(A,double_divide(B,identity))),double_divide(double_divide(B,double_divide(C,A)),identity)) = C ))),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f2,axiom,(
% 0.08/0.36 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f3,axiom,(
% 0.08/0.36 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f4,axiom,(
% 0.08/0.36 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f5,negated_conjecture,(
% 0.08/0.36 multiply(inverse(a1),a1) != identity ),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f6,plain,(
% 0.08/0.36 ![X0,X1,X2]: (double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity))=X2)),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.36 fof(f7,plain,(
% 0.08/0.36 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.36 fof(f8,plain,(
% 0.08/0.36 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.36 fof(f9,plain,(
% 0.08/0.36 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.36 fof(f10,plain,(
% 0.08/0.36 ~multiply(inverse(a1),a1)=identity),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.36 fof(f14,plain,(
% 0.08/0.36 ![X0,X1,X2]: (double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),multiply(double_divide(X2,X0),X1))=X2)),
% 0.08/0.36 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.08/0.36 fof(f15,plain,(
% 0.08/0.36 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.08/0.36 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.08/0.36 fof(f16,plain,(
% 0.08/0.36 ![X0,X1,X2]: (double_divide(double_divide(identity,double_divide(X0,inverse(X1))),multiply(double_divide(X2,X0),X1))=X2)),
% 0.08/0.36 inference(forward_demodulation,[status(thm)],[f8,f14])).
% 0.08/0.36 fof(f17,plain,(
% 0.08/0.36 ![X0]: (multiply(inverse(X0),X0)=inverse(identity))),
% 0.08/0.36 inference(paramodulation,[status(thm)],[f9,f15])).
% 0.08/0.36 fof(f19,plain,(
% 0.08/0.36 ![X0,X1]: (identity=double_divide(double_divide(X0,X1),multiply(X1,X0)))),
% 0.08/0.36 inference(paramodulation,[status(thm)],[f15,f9])).
% 0.08/0.36 fof(f20,plain,(
% 0.08/0.36 ~inverse(identity)=identity),
% 0.08/0.36 inference(backward_demodulation,[status(thm)],[f17,f10])).
% 0.08/0.36 fof(f34,plain,(
% 0.08/0.36 identity=inverse(identity)),
% 0.08/0.36 inference(paramodulation,[status(thm)],[f16,f19])).
% 0.08/0.36 fof(f43,plain,(
% 0.08/0.36 $false),
% 0.08/0.36 inference(forward_subsumption_resolution,[status(thm)],[f34,f20])).
% 0.08/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.38 % Elapsed time: 0.026390 seconds
% 0.08/0.38 % CPU time: 0.029839 seconds
% 0.08/0.38 % Total memory used: 1.194 MB
% 0.08/0.38 % Net memory used: 1.143 MB
%------------------------------------------------------------------------------