%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP546-1 : 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 : n017.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 12:36:47 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP546-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:11:42 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.37 fof(f1,axiom,(
% 0.10/0.37 (![A,B,C]: (divide(divide(identity,divide(A,B)),divide(divide(B,C),A)) = C ))),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f2,axiom,(
% 0.10/0.37 (![A,B]: (multiply(A,B) = divide(A,divide(identity,B)) ))),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f3,axiom,(
% 0.10/0.37 (![A]: (inverse(A) = divide(identity,A) ))),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f4,axiom,(
% 0.10/0.37 (![A]: (identity = divide(A,A) ))),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f5,negated_conjecture,(
% 0.10/0.37 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f6,plain,(
% 0.10/0.37 ![X0,X1,X2]: (divide(divide(identity,divide(X0,X1)),divide(divide(X1,X2),X0))=X2)),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.37 fof(f7,plain,(
% 0.10/0.37 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.37 fof(f8,plain,(
% 0.10/0.37 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.37 fof(f9,plain,(
% 0.10/0.37 ![X0]: (identity=divide(X0,X0))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.37 fof(f10,plain,(
% 0.10/0.37 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.37 fof(f15,plain,(
% 0.10/0.37 ![X0,X1,X2]: (divide(inverse(divide(X0,X1)),divide(divide(X1,X2),X0))=X2)),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.10/0.37 fof(f16,plain,(
% 0.10/0.37 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.10/0.37 fof(f20,plain,(
% 0.10/0.37 ![X0,X1]: (divide(inverse(divide(X0,identity)),divide(inverse(X1),X0))=X1)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f8,f15])).
% 0.10/0.37 fof(f23,plain,(
% 0.10/0.37 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f8,f16])).
% 0.10/0.37 fof(f108,plain,(
% 0.10/0.37 identity=inverse(identity)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f8,f9])).
% 0.10/0.37 fof(f109,plain,(
% 0.10/0.37 ![X0]: (identity=multiply(inverse(X0),X0))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f16,f9])).
% 0.10/0.37 fof(f112,plain,(
% 0.10/0.37 ![X0]: (divide(inverse(divide(inverse(X0),identity)),identity)=X0)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f9,f20])).
% 0.10/0.37 fof(f114,plain,(
% 0.10/0.37 ![X0]: (divide(inverse(identity),divide(inverse(X0),identity))=X0)),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f9,f20])).
% 0.10/0.37 fof(f121,plain,(
% 0.10/0.37 ~multiply(identity,a2)=a2),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f109,f10])).
% 0.10/0.37 fof(f124,plain,(
% 0.10/0.37 ![X0]: (divide(identity,divide(inverse(X0),identity))=X0)),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f108,f114])).
% 0.10/0.37 fof(f125,plain,(
% 0.10/0.37 ![X0]: (divide(X0,identity)=X0)),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f127,f112])).
% 0.10/0.37 fof(f127,plain,(
% 0.10/0.37 ![X0]: (inverse(divide(inverse(X0),identity))=X0)),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f8,f124])).
% 0.10/0.37 fof(f140,plain,(
% 0.10/0.37 ~inverse(inverse(a2))=a2),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f23,f121])).
% 0.10/0.37 fof(f152,plain,(
% 0.10/0.37 ![X0]: (inverse(inverse(X0))=X0)),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f125,f127])).
% 0.10/0.37 fof(f164,plain,(
% 0.10/0.37 ~a2=a2),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f152,f140])).
% 0.10/0.37 fof(f186,plain,(
% 0.10/0.37 $false),
% 0.10/0.37 inference(trivial_equality_resolution,[status(thm)],[f164])).
% 0.10/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.027893 seconds
% 0.14/0.40 % CPU time: 0.049982 seconds
% 0.14/0.40 % Total memory used: 1.794 MB
% 0.14/0.40 % Net memory used: 1.787 MB
%------------------------------------------------------------------------------