%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP485-1 : 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 : 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 12:36:42 PM UTC 2026
% Result : Unsatisfiable 0.09s 5.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP485-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n018.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sun Sep 20 20:16:49 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.37 % Drodi V4.1.1
% 0.09/5.39 % Refutation found
% 0.09/5.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/5.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/5.39 fof(f1,axiom,(
% 0.09/5.39 (![A,B,C]: (double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)) = C ))),
% 0.09/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.39 fof(f2,axiom,(
% 0.09/5.39 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.09/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.39 fof(f3,axiom,(
% 0.09/5.39 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.09/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.39 fof(f4,axiom,(
% 0.09/5.39 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.09/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.39 fof(f5,negated_conjecture,(
% 0.09/5.39 multiply(identity,a2) != a2 ),
% 0.09/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.39 fof(f6,plain,(
% 0.09/5.39 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,identity))=X2)),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/5.39 fof(f7,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/5.39 fof(f8,plain,(
% 0.09/5.39 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/5.39 fof(f9,plain,(
% 0.09/5.39 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/5.39 fof(f10,plain,(
% 0.09/5.39 ~multiply(identity,a2)=a2),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/5.39 fof(f13,plain,(
% 0.09/5.39 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),inverse(identity))=X2)),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.09/5.39 fof(f14,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.09/5.39 fof(f15,plain,(
% 0.09/5.39 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),inverse(identity))=X2)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f8,f13])).
% 0.09/5.39 fof(f16,plain,(
% 0.09/5.39 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(identity))=double_divide(double_divide(double_divide(double_divide(X0,identity),X2),X1),inverse(X2)))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f15,f15])).
% 0.09/5.39 fof(f21,plain,(
% 0.09/5.39 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(identity))=double_divide(double_divide(double_divide(inverse(X0),X2),X1),inverse(X2)))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f8,f16])).
% 0.09/5.39 fof(f23,plain,(
% 0.09/5.39 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(double_divide(double_divide(inverse(X0),identity),X1),X2),inverse(X1))),inverse(identity))=X2)),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f15,f21])).
% 0.09/5.39 fof(f24,plain,(
% 0.09/5.39 ![X0,X1,X2]: (double_divide(double_divide(X0,inverse(identity)),inverse(identity))=double_divide(X1,inverse(double_divide(double_divide(double_divide(inverse(X0),X2),X1),inverse(X2)))))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f15,f21])).
% 0.09/5.39 fof(f27,plain,(
% 0.09/5.39 ![X0,X1]: (double_divide(double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(identity))),inverse(identity))=X1)),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f21,f15])).
% 0.09/5.39 fof(f31,plain,(
% 0.09/5.39 ![X0,X1,X2]: (multiply(inverse(X0),double_divide(double_divide(inverse(X1),X0),X2))=inverse(double_divide(double_divide(X1,X2),inverse(identity))))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f21,f14])).
% 0.09/5.39 fof(f32,plain,(
% 0.09/5.39 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(double_divide(inverse(inverse(X0)),X1),X2),inverse(X1))),inverse(identity))=X2)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f8,f23])).
% 0.09/5.39 fof(f33,plain,(
% 0.09/5.39 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(inverse(X0),X1),inverse(identity))),inverse(identity))=X1)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f21,f32])).
% 0.09/5.39 fof(f34,plain,(
% 0.09/5.39 ![X0,X1,X2]: (double_divide(double_divide(X0,inverse(identity)),inverse(identity))=double_divide(X1,multiply(inverse(X2),double_divide(double_divide(inverse(X0),X2),X1))))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f14,f24])).
% 0.09/5.39 fof(f37,plain,(
% 0.09/5.39 ![X0,X1]: (double_divide(double_divide(X0,inverse(identity)),inverse(identity))=double_divide(X1,multiply(inverse(identity),double_divide(X0,X1))))),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f38,f34])).
% 0.09/5.39 fof(f38,plain,(
% 0.09/5.39 ![X0,X1,X2]: (multiply(inverse(X0),double_divide(double_divide(inverse(X1),X0),X2))=multiply(inverse(identity),double_divide(X1,X2)))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f14,f31])).
% 0.09/5.39 fof(f78,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(inverse(identity),double_divide(X0,double_divide(double_divide(inverse(X0),X1),inverse(identity))))=inverse(X1))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f33,f14])).
% 0.09/5.39 fof(f94,plain,(
% 0.09/5.39 ![X0,X1,X2]: (double_divide(double_divide(inverse(X0),X1),inverse(identity))=double_divide(double_divide(double_divide(X0,X2),X1),inverse(X2)))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f15,f27])).
% 0.09/5.39 fof(f96,plain,(
% 0.09/5.39 ![X0,X1]: (double_divide(double_divide(inverse(double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(identity)))),double_divide(X1,inverse(identity))),inverse(identity))=inverse(identity))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f27,f27])).
% 0.09/5.39 fof(f121,plain,(
% 0.09/5.39 ![X0,X1]: (double_divide(double_divide(multiply(double_divide(double_divide(X0,X1),inverse(identity)),inverse(X0)),double_divide(X1,inverse(identity))),inverse(identity))=inverse(identity))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f14,f96])).
% 0.09/5.39 fof(f191,plain,(
% 0.09/5.39 ![X0,X1,X2]: (double_divide(double_divide(inverse(double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(identity)))),X2),inverse(identity))=double_divide(double_divide(X1,X2),inverse(inverse(identity))))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f27,f94])).
% 0.09/5.39 fof(f218,plain,(
% 0.09/5.39 ![X0]: (double_divide(double_divide(X0,double_divide(X0,inverse(identity))),inverse(inverse(identity)))=inverse(identity))),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f219,f121])).
% 0.09/5.39 fof(f219,plain,(
% 0.09/5.39 ![X0,X1,X2]: (double_divide(double_divide(multiply(double_divide(double_divide(X0,X1),inverse(identity)),inverse(X0)),X2),inverse(identity))=double_divide(double_divide(X1,X2),inverse(inverse(identity))))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f14,f191])).
% 0.09/5.39 fof(f366,plain,(
% 0.09/5.39 ![X0]: (double_divide(double_divide(X0,inverse(identity)),inverse(identity))=double_divide(identity,multiply(inverse(identity),inverse(X0))))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f8,f37])).
% 0.09/5.39 fof(f369,plain,(
% 0.09/5.39 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f8,f14])).
% 0.09/5.39 fof(f389,plain,(
% 0.09/5.39 ~inverse(inverse(a2))=a2),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f369,f10])).
% 0.09/5.39 fof(f410,plain,(
% 0.09/5.39 ![X0]: (multiply(inverse(identity),double_divide(X0,double_divide(identity,inverse(identity))))=inverse(inverse(inverse(X0))))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f9,f78])).
% 0.09/5.39 fof(f411,plain,(
% 0.09/5.39 ![X0]: (double_divide(double_divide(X0,double_divide(identity,inverse(identity))),inverse(identity))=inverse(inverse(X0)))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f9,f33])).
% 0.09/5.39 fof(f412,plain,(
% 0.09/5.39 ![X0,X1]: (double_divide(double_divide(inverse(X0),inverse(double_divide(X0,X1))),inverse(identity))=double_divide(identity,inverse(X1)))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f9,f94])).
% 0.09/5.39 fof(f413,plain,(
% 0.09/5.39 double_divide(double_divide(identity,identity),inverse(inverse(identity)))=inverse(identity)),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f9,f218])).
% 0.09/5.39 fof(f415,plain,(
% 0.09/5.39 ![X0]: (double_divide(double_divide(inverse(X0),double_divide(identity,inverse(identity))),inverse(identity))=inverse(X0))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f9,f27])).
% 0.09/5.39 fof(f418,plain,(
% 0.09/5.39 ![X0]: (multiply(inverse(identity),double_divide(X0,identity))=inverse(inverse(inverse(X0))))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f9,f410])).
% 0.09/5.39 fof(f427,plain,(
% 0.09/5.39 ![X0]: (double_divide(double_divide(X0,inverse(identity)),inverse(identity))=double_divide(identity,inverse(inverse(inverse(X0)))))),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f429,f366])).
% 0.09/5.39 fof(f429,plain,(
% 0.09/5.39 ![X0]: (multiply(inverse(identity),inverse(X0))=inverse(inverse(inverse(X0))))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f8,f418])).
% 0.09/5.39 fof(f430,plain,(
% 0.09/5.39 ![X0]: (double_divide(double_divide(X0,identity),inverse(identity))=inverse(inverse(X0)))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f9,f411])).
% 0.09/5.39 fof(f440,plain,(
% 0.09/5.39 ![X0]: (double_divide(inverse(X0),inverse(identity))=inverse(inverse(X0)))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f8,f430])).
% 0.09/5.39 fof(f441,plain,(
% 0.09/5.39 ![X0,X1]: (double_divide(double_divide(inverse(X0),multiply(X1,X0)),inverse(identity))=double_divide(identity,inverse(X1)))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f14,f412])).
% 0.09/5.39 fof(f442,plain,(
% 0.09/5.39 double_divide(inverse(identity),inverse(inverse(identity)))=inverse(identity)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f8,f413])).
% 0.09/5.39 fof(f447,plain,(
% 0.09/5.39 ![X0,X1]: (double_divide(double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(identity))),identity)=X1)),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f497,f27])).
% 0.09/5.39 fof(f449,plain,(
% 0.09/5.39 ![X0,X1]: (double_divide(double_divide(inverse(X0),multiply(X1,X0)),identity)=double_divide(identity,inverse(X1)))),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f497,f441])).
% 0.09/5.39 fof(f497,plain,(
% 0.09/5.39 identity=inverse(identity)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f9,f442])).
% 0.09/5.39 fof(f501,plain,(
% 0.09/5.39 ![X0]: (double_divide(double_divide(inverse(X0),identity),inverse(identity))=inverse(X0))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f9,f415])).
% 0.09/5.39 fof(f502,plain,(
% 0.09/5.39 ![X0]: (double_divide(inverse(inverse(X0)),inverse(identity))=inverse(X0))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f8,f501])).
% 0.09/5.39 fof(f503,plain,(
% 0.09/5.39 ![X0]: (inverse(inverse(inverse(X0)))=inverse(X0))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f440,f502])).
% 0.09/5.39 fof(f553,plain,(
% 0.09/5.39 ![X0]: (double_divide(double_divide(X0,identity),inverse(identity))=double_divide(identity,inverse(inverse(inverse(X0)))))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f497,f427])).
% 0.09/5.39 fof(f554,plain,(
% 0.09/5.39 ![X0]: (double_divide(inverse(X0),inverse(identity))=double_divide(identity,inverse(inverse(inverse(X0)))))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f8,f553])).
% 0.09/5.39 fof(f555,plain,(
% 0.09/5.39 ![X0]: (inverse(inverse(X0))=double_divide(identity,inverse(inverse(inverse(X0)))))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f440,f554])).
% 0.09/5.39 fof(f562,plain,(
% 0.09/5.39 ![X0]: (inverse(inverse(X0))=double_divide(identity,inverse(X0)))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f503,f555])).
% 0.09/5.39 fof(f624,plain,(
% 0.09/5.39 ![X0,X1]: (inverse(double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(identity))))=X1)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f8,f447])).
% 0.09/5.39 fof(f625,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(double_divide(double_divide(X0,X1),inverse(identity)),inverse(X0))=X1)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f14,f624])).
% 0.09/5.39 fof(f626,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(double_divide(double_divide(X0,X1),identity),inverse(X0))=X1)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f497,f625])).
% 0.09/5.39 fof(f627,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(inverse(double_divide(X0,X1)),inverse(X0))=X1)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f8,f626])).
% 0.09/5.39 fof(f628,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f14,f627])).
% 0.09/5.39 fof(f635,plain,(
% 0.09/5.39 ![X0,X1]: (inverse(double_divide(inverse(X0),multiply(X1,X0)))=double_divide(identity,inverse(X1)))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f8,f449])).
% 0.09/5.39 fof(f636,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=double_divide(identity,inverse(X0)))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f14,f635])).
% 0.09/5.39 fof(f637,plain,(
% 0.09/5.39 ![X0]: (inverse(inverse(X0))=X0)),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f638,f562])).
% 0.09/5.39 fof(f638,plain,(
% 0.09/5.39 ![X0]: (X0=double_divide(identity,inverse(X0)))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f628,f636])).
% 0.09/5.39 fof(f922,plain,(
% 0.09/5.39 ~a2=a2),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f637,f389])).
% 0.09/5.40 fof(f945,plain,(
% 0.09/5.40 $false),
% 0.09/5.40 inference(trivial_equality_resolution,[status(thm)],[f922])).
% 0.09/5.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.41 % Elapsed time: 0.044739 seconds
% 0.13/5.41 % CPU time: 0.195248 seconds
% 0.13/5.41 % Total memory used: 10.381 MB
% 0.13/5.41 % Net memory used: 9.892 MB
%------------------------------------------------------------------------------