%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP459-1 : 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 : n014.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 12:36:40 PM UTC 2026
% Result : Unsatisfiable 0.09s 5.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP459-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n014.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 20:13:56 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 % Drodi V4.1.1
% 0.09/5.38 % Refutation found
% 0.09/5.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/5.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/5.38 fof(f1,axiom,(
% 0.09/5.38 (![A,B,C]: (divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B ))),
% 0.09/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f2,axiom,(
% 0.09/5.38 (![A,B]: (multiply(A,B) = divide(A,divide(identity,B)) ))),
% 0.09/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f3,axiom,(
% 0.09/5.38 (![A]: (inverse(A) = divide(identity,A) ))),
% 0.09/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f4,axiom,(
% 0.09/5.38 (![A]: (identity = divide(A,A) ))),
% 0.09/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f5,negated_conjecture,(
% 0.09/5.38 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.09/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f6,plain,(
% 0.09/5.38 ![X0,X1,X2]: (divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2)=X1)),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/5.38 fof(f7,plain,(
% 0.09/5.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/5.38 fof(f8,plain,(
% 0.09/5.38 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/5.38 fof(f9,plain,(
% 0.09/5.38 ![X0]: (identity=divide(X0,X0))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/5.38 fof(f10,plain,(
% 0.09/5.38 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/5.38 fof(f16,plain,(
% 0.09/5.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.09/5.38 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.09/5.38 fof(f17,plain,(
% 0.09/5.38 ![X0,X1,X2]: (divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(inverse(X0),X2)))),X2)=X1)),
% 0.09/5.38 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.09/5.38 fof(f18,plain,(
% 0.09/5.38 ![X0,X1,X2]: (divide(divide(identity,divide(X0,divide(X1,divide(inverse(X0),X2)))),X2)=X1)),
% 0.09/5.38 inference(forward_demodulation,[status(thm)],[f9,f17])).
% 0.09/5.38 fof(f19,plain,(
% 0.09/5.38 ![X0,X1,X2]: (divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2)=X1)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f8,f18])).
% 0.09/5.39 fof(f20,plain,(
% 0.09/5.39 identity=inverse(identity)),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f8,f9])).
% 0.09/5.39 fof(f24,plain,(
% 0.09/5.39 ![X0]: (multiply(X0,identity)=divide(X0,identity))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f20,f16])).
% 0.09/5.39 fof(f27,plain,(
% 0.09/5.39 ![X0,X1,X2]: (multiply(inverse(divide(X0,divide(X1,divide(inverse(X0),inverse(X2))))),X2)=X1)),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f16,f19])).
% 0.09/5.39 fof(f28,plain,(
% 0.09/5.39 ![X0,X1]: (divide(inverse(inverse(divide(X0,divide(inverse(identity),X1)))),X1)=X0)),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f8,f19])).
% 0.09/5.39 fof(f29,plain,(
% 0.09/5.39 ![X0,X1,X2,X3]: (divide(inverse(divide(X0,X1)),X2)=inverse(divide(X3,divide(X1,divide(inverse(X3),divide(inverse(X0),X2))))))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f19,f19])).
% 0.09/5.39 fof(f34,plain,(
% 0.09/5.39 ![X0,X1]: (divide(inverse(divide(X0,divide(X1,identity))),inverse(X0))=X1)),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f9,f19])).
% 0.09/5.39 fof(f37,plain,(
% 0.09/5.39 ![X0,X1,X2]: (multiply(inverse(divide(X0,divide(X1,multiply(inverse(X0),X2)))),X2)=X1)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f16,f27])).
% 0.09/5.39 fof(f38,plain,(
% 0.09/5.39 ![X0,X1]: (divide(inverse(inverse(divide(X0,divide(identity,X1)))),X1)=X0)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f20,f28])).
% 0.09/5.39 fof(f39,plain,(
% 0.09/5.39 ![X0,X1]: (divide(inverse(inverse(divide(X0,inverse(X1)))),X1)=X0)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f8,f38])).
% 0.09/5.39 fof(f40,plain,(
% 0.09/5.39 ![X0,X1]: (divide(inverse(inverse(multiply(X0,X1))),X1)=X0)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f16,f39])).
% 0.09/5.39 fof(f44,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(inverse(divide(X0,divide(X1,identity))),X0)=X1)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f16,f34])).
% 0.09/5.39 fof(f45,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(inverse(divide(X0,multiply(X1,identity))),X0)=X1)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f24,f44])).
% 0.09/5.39 fof(f87,plain,(
% 0.09/5.39 ![X0]: (multiply(inverse(inverse(multiply(X0,identity))),identity)=X0)),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f24,f40])).
% 0.09/5.39 fof(f89,plain,(
% 0.09/5.39 ![X0,X1,X2]: (divide(inverse(inverse(X0)),X1)=inverse(divide(X2,divide(X0,multiply(inverse(X2),X1)))))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f37,f40])).
% 0.09/5.39 fof(f94,plain,(
% 0.09/5.39 ![X0,X1,X2]: (multiply(inverse(divide(X0,X1)),X2)=inverse(inverse(multiply(X1,multiply(inverse(X0),X2)))))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f40,f37])).
% 0.09/5.39 fof(f95,plain,(
% 0.09/5.39 ![X0,X1,X2]: (divide(inverse(divide(X0,X1)),X2)=inverse(inverse(multiply(X1,divide(inverse(X0),X2)))))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f40,f19])).
% 0.09/5.39 fof(f114,plain,(
% 0.09/5.39 ![X0,X1,X2]: (divide(inverse(divide(X0,divide(inverse(X1),divide(inverse(X0),X2)))),X2)=inverse(divide(X1,identity)))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f9,f29])).
% 0.09/5.39 fof(f123,plain,(
% 0.09/5.39 ![X0,X1,X2]: (divide(inverse(divide(X0,X1)),inverse(X0))=inverse(divide(X2,divide(X1,divide(inverse(X2),identity)))))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f9,f29])).
% 0.09/5.39 fof(f139,plain,(
% 0.09/5.39 ![X0]: (inverse(X0)=inverse(divide(X0,identity)))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f19,f114])).
% 0.09/5.39 fof(f140,plain,(
% 0.09/5.39 ![X0]: (multiply(inverse(inverse(X0)),identity)=X0)),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f143,f87])).
% 0.09/5.39 fof(f143,plain,(
% 0.09/5.39 ![X0]: (inverse(X0)=inverse(multiply(X0,identity)))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f24,f139])).
% 0.09/5.39 fof(f149,plain,(
% 0.09/5.39 ![X0,X1,X2]: (multiply(inverse(divide(X0,X1)),X0)=inverse(divide(X2,divide(X1,divide(inverse(X2),identity)))))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f16,f123])).
% 0.09/5.39 fof(f150,plain,(
% 0.09/5.39 ![X0,X1,X2]: (multiply(inverse(divide(X0,X1)),X0)=inverse(divide(X2,divide(X1,multiply(inverse(X2),identity)))))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f24,f149])).
% 0.09/5.39 fof(f151,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(inverse(divide(X0,X1)),X0)=divide(inverse(inverse(X1)),identity))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f89,f150])).
% 0.09/5.39 fof(f152,plain,(
% 0.09/5.39 ![X0]: (multiply(inverse(inverse(multiply(X0,identity))),identity)=X0)),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f153,f45])).
% 0.09/5.39 fof(f153,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(inverse(divide(X0,X1)),X0)=multiply(inverse(inverse(X1)),identity))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f24,f151])).
% 0.09/5.39 fof(f161,plain,(
% 0.09/5.39 ![X0]: (X0=divide(X0,identity))),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f164,f24])).
% 0.09/5.39 fof(f162,plain,(
% 0.09/5.39 ![X0]: (inverse(inverse(X0))=X0)),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f164,f140])).
% 0.09/5.39 fof(f164,plain,(
% 0.09/5.39 ![X0]: (multiply(X0,identity)=X0)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f140,f152])).
% 0.09/5.39 fof(f169,plain,(
% 0.09/5.39 ![X0,X1,X2]: (divide(inverse(divide(X0,X1)),X2)=multiply(X1,divide(inverse(X0),X2)))),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f162,f95])).
% 0.09/5.39 fof(f170,plain,(
% 0.09/5.39 ![X0,X1,X2]: (multiply(inverse(divide(X0,X1)),X2)=multiply(X1,multiply(inverse(X0),X2)))),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f162,f94])).
% 0.09/5.39 fof(f251,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f162,f16])).
% 0.09/5.39 fof(f327,plain,(
% 0.09/5.39 ![X0,X1]: (inverse(divide(X0,X1))=multiply(X1,divide(inverse(X0),identity)))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f161,f169])).
% 0.09/5.39 fof(f340,plain,(
% 0.09/5.39 ![X0,X1]: (inverse(divide(X0,X1))=multiply(X1,inverse(X0)))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f161,f327])).
% 0.09/5.39 fof(f347,plain,(
% 0.09/5.39 ![X0,X1,X2]: (multiply(divide(X0,X1),X2)=multiply(X0,multiply(inverse(X1),X2)))),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f348,f170])).
% 0.09/5.39 fof(f348,plain,(
% 0.09/5.39 ![X0,X1]: (inverse(divide(X0,X1))=divide(X1,X0))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f251,f340])).
% 0.09/5.39 fof(f689,plain,(
% 0.09/5.39 ![X0,X1,X2]: (multiply(divide(X0,inverse(X1)),X2)=multiply(X0,multiply(X1,X2)))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f162,f347])).
% 0.09/5.39 fof(f712,plain,(
% 0.09/5.39 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f716,f10])).
% 0.09/5.39 fof(f716,plain,(
% 0.09/5.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f16,f689])).
% 0.09/5.39 fof(f726,plain,(
% 0.09/5.39 $false),
% 0.09/5.39 inference(trivial_equality_resolution,[status(thm)],[f712])).
% 0.09/5.39 % SZS output end CNFRefutation for theBenchmark.p
% 6.16/6.63 % Elapsed time: 1.042097 seconds
% 6.16/6.63 % CPU time: 0.066876 seconds
% 6.16/6.63 % Total memory used: 1.955 MB
% 6.16/6.63 % Net memory used: 1.831 MB
%------------------------------------------------------------------------------