%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP594-1 : 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 : n011.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 12:36:52 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP594-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n011.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sun Sep 20 20:17:25 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (![A,B,C]: (inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(C,B)))))) = C ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,negated_conjecture,(
% 0.13/0.38 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,plain,(
% 0.13/0.38 ![X0,X1,X2]: (inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(X2,X1))))))=X2)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f5,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f6,plain,(
% 0.13/0.38 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f11,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(inverse(double_divide(X0,inverse(double_divide(X1,X2)))),double_divide(X0,X2))=X1)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.13/0.38 fof(f12,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(multiply(inverse(double_divide(X0,X1)),X2),double_divide(X2,X1))=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f5,f11])).
% 0.13/0.38 fof(f13,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X0))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f5,f12])).
% 0.13/0.38 fof(f14,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(X0,double_divide(double_divide(X1,X2),multiply(X2,X0)))=X1)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f13,f13])).
% 0.13/0.38 fof(f15,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(X1,multiply(multiply(X2,X0),X3)))=double_divide(X3,X2))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f13,f13])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(double_divide(X0,X1),double_divide(double_divide(X2,multiply(multiply(X1,X3),X0)),X3))=X2)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f13,f14])).
% 0.13/0.38 fof(f20,plain,(
% 0.13/0.38 ![X0,X1,X2]: (X0=double_divide(multiply(X1,double_divide(X0,multiply(X2,X1))),X2))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f14,f15])).
% 0.13/0.38 fof(f36,plain,(
% 0.13/0.38 ![X0,X1,X2]: (X0=double_divide(double_divide(multiply(X1,X0),X2),multiply(X2,X1)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f15,f20])).
% 0.13/0.38 fof(f38,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(X0,double_divide(X1,multiply(multiply(X2,X3),X0)))=double_divide(multiply(X3,X1),X2))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f20,f20])).
% 0.13/0.38 fof(f45,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X1,double_divide(X2,multiply(X0,X1))))=inverse(X2))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f20,f5])).
% 0.13/0.38 fof(f59,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(multiply(X0,X1),double_divide(multiply(X1,X2),X0))=inverse(X2))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f36,f5])).
% 0.13/0.38 fof(f69,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(inverse(X0),double_divide(multiply(X1,double_divide(X0,multiply(multiply(X2,X3),X1))),X2))=X3)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f45,f13])).
% 0.13/0.38 fof(f79,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(inverse(X0),double_divide(double_divide(multiply(X1,X0),X2),X2))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f38,f69])).
% 0.13/0.38 fof(f86,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(multiply(X1,X2),X3)),double_divide(X2,X0))=inverse(double_divide(X3,X1)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f13,f59])).
% 0.13/0.38 fof(f101,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(multiply(X1,X2),X3)),double_divide(X2,X0))=multiply(X1,X3))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f5,f86])).
% 0.13/0.38 fof(f106,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(double_divide(multiply(X2,double_divide(X1,X0)),X3),X3))=X2)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f5,f79])).
% 0.13/0.38 fof(f109,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(inverse(double_divide(X0,X1)),double_divide(double_divide(X2,X3),X3))=multiply(multiply(X1,X2),X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f13,f79])).
% 0.13/0.38 fof(f110,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(inverse(double_divide(multiply(X0,X1),X2)),double_divide(double_divide(inverse(X1),X3),X3))=multiply(X2,X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f59,f79])).
% 0.13/0.38 fof(f129,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,double_divide(X2,X0))),X2)=X1)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f130,f106])).
% 0.13/0.38 fof(f130,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(double_divide(X2,X3),X3))=multiply(multiply(X0,X2),X1))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f5,f109])).
% 0.13/0.38 fof(f131,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(X1,X2)),double_divide(double_divide(inverse(X2),X3),X3))=multiply(X0,X1))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f5,f110])).
% 0.13/0.38 fof(f133,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(multiply(X0,inverse(X1)),multiply(X2,X1))=multiply(X0,X2))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f130,f131])).
% 0.13/0.38 fof(f165,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(multiply(X0,inverse(double_divide(X1,X2))),X3)=multiply(X0,multiply(multiply(X2,X3),X1)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f13,f133])).
% 0.13/0.38 fof(f186,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,X2),double_divide(X2,X0)))=X1)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f202,f129])).
% 0.13/0.38 fof(f189,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(multiply(X1,X2),double_divide(X2,X0)),X3))=multiply(X1,X3))),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f202,f101])).
% 0.13/0.38 fof(f202,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(X1,X2)),X3)=multiply(X0,multiply(multiply(X1,X3),X2)))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f5,f165])).
% 0.13/0.38 fof(f234,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(multiply(X1,X2),double_divide(X2,X0)),double_divide(X3,X1)))=inverse(X3))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f186,f45])).
% 0.13/0.38 fof(f249,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(X0,double_divide(X1,X0))=inverse(X1))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f189,f234])).
% 0.13/0.38 fof(f358,plain,(
% 0.13/0.38 ![X0,X1,X2]: (X0=inverse(double_divide(X0,multiply(multiply(X1,double_divide(X2,X1)),X2))))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f16,f249])).
% 0.13/0.38 fof(f383,plain,(
% 0.13/0.38 ![X0,X1,X2]: (X0=multiply(multiply(multiply(X1,double_divide(X2,X1)),X2),X0))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f5,f358])).
% 0.13/0.38 fof(f384,plain,(
% 0.13/0.38 ~a2=a2),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f385,f6])).
% 0.13/0.38 fof(f385,plain,(
% 0.13/0.38 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X1),X0))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f249,f383])).
% 0.13/0.38 fof(f511,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f384])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.037575 seconds
% 0.13/0.40 % CPU time: 0.164619 seconds
% 0.13/0.40 % Total memory used: 8.952 MB
% 0.13/0.40 % Net memory used: 8.890 MB
%------------------------------------------------------------------------------