%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP012-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 12:35:26 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.65s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP012-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.53 % Computer : n005.cluster.edu
% 0.12/0.53 % Model : x86_64 x86_64
% 0.12/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.53 % Memory : 8046.5625MB
% 0.12/0.53 % OS : Linux 6.8.0-71-generic
% 0.12/0.53 % CPULimit : 300
% 0.12/0.53 % WCLimit : 300
% 0.12/0.53 % DateTime : Sun Sep 20 19:53:34 UTC 2026
% 0.12/0.53 % CPUTime :
% 0.12/0.54 % Drodi V4.1.1
% 0.16/0.65 % Refutation found
% 0.16/0.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.65 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.65 fof(f1,axiom,(
% 0.16/0.65 (![X]: (product(identity,X,X) ))),
% 0.16/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.65 fof(f2,axiom,(
% 0.16/0.65 (![X]: (product(X,identity,X) ))),
% 0.16/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.65 fof(f3,axiom,(
% 0.16/0.65 (![X]: (product(inverse(X),X,identity) ))),
% 0.16/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.65 fof(f5,axiom,(
% 0.16/0.65 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 0.16/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.65 fof(f6,axiom,(
% 0.16/0.65 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.16/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.65 fof(f7,axiom,(
% 0.16/0.65 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 0.16/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.65 fof(f9,negated_conjecture,(
% 0.16/0.65 inverse(multiply(a,b)) != multiply(inverse(b),inverse(a)) ),
% 0.16/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.65 fof(f10,plain,(
% 0.16/0.65 ![X0]: (product(identity,X0,X0))),
% 0.16/0.65 inference(cnf_transformation,[status(thm)],[f1])).
% 0.16/0.65 fof(f11,plain,(
% 0.16/0.65 ![X0]: (product(X0,identity,X0))),
% 0.16/0.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/0.65 fof(f12,plain,(
% 0.16/0.65 ![X0]: (product(inverse(X0),X0,identity))),
% 0.16/0.65 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/0.65 fof(f14,plain,(
% 0.16/0.65 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 0.16/0.65 inference(cnf_transformation,[status(thm)],[f5])).
% 0.16/0.65 fof(f15,plain,(
% 0.16/0.65 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.16/0.65 inference(miniscoping,[status(thm)],[f6])).
% 0.16/0.65 fof(f16,plain,(
% 0.16/0.65 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.16/0.65 inference(cnf_transformation,[status(thm)],[f15])).
% 0.16/0.65 fof(f17,plain,(
% 0.16/0.65 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 0.16/0.65 inference(miniscoping,[status(thm)],[f7])).
% 0.16/0.65 fof(f18,plain,(
% 0.16/0.65 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 0.16/0.65 inference(cnf_transformation,[status(thm)],[f17])).
% 0.16/0.65 fof(f21,plain,(
% 0.16/0.65 ~inverse(multiply(a,b))=multiply(inverse(b),inverse(a))),
% 0.16/0.65 inference(cnf_transformation,[status(thm)],[f9])).
% 0.16/0.65 fof(f25,plain,(
% 0.16/0.65 ![X0,X1]: (~product(X0,identity,X1)|X0=X1)),
% 0.16/0.65 inference(resolution,[status(thm)],[f16,f11])).
% 0.16/0.65 fof(f26,plain,(
% 0.16/0.65 ![X0,X1,X2]: (~product(X0,X1,X2)|multiply(X0,X1)=X2)),
% 0.16/0.65 inference(resolution,[status(thm)],[f16,f14])).
% 0.16/0.65 fof(f27,plain,(
% 0.16/0.65 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.16/0.65 inference(resolution,[status(thm)],[f26,f12])).
% 0.16/0.65 fof(f28,plain,(
% 0.16/0.65 ![X0]: (multiply(identity,X0)=X0)),
% 0.16/0.65 inference(resolution,[status(thm)],[f26,f10])).
% 0.16/0.65 fof(f54,plain,(
% 0.16/0.65 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~product(multiply(X3,X0),X1,X4)|product(X3,X2,X4))),
% 0.16/0.65 inference(resolution,[status(thm)],[f18,f14])).
% 0.16/0.65 fof(f68,plain,(
% 0.16/0.65 ![X0,X1,X2]: (~product(multiply(X0,inverse(X1)),X1,X2)|product(X0,identity,X2))),
% 0.16/0.65 inference(resolution,[status(thm)],[f54,f12])).
% 0.16/0.65 fof(f72,plain,(
% 0.16/0.65 ![X0,X1,X2,X3]: (~product(multiply(X0,X1),X2,X3)|product(X0,multiply(X1,X2),X3))),
% 0.16/0.65 inference(resolution,[status(thm)],[f54,f14])).
% 0.16/0.65 fof(f105,plain,(
% 0.16/0.65 ![X0,X1]: (product(X0,identity,multiply(multiply(X0,inverse(X1)),X1)))),
% 0.16/0.65 inference(resolution,[status(thm)],[f68,f14])).
% 0.16/0.65 fof(f140,plain,(
% 0.16/0.65 ![X0,X1]: (X0=multiply(multiply(X0,inverse(X1)),X1))),
% 0.16/0.65 inference(resolution,[status(thm)],[f105,f25])).
% 0.16/0.65 fof(f177,plain,(
% 0.16/0.65 ![X0]: (inverse(inverse(X0))=multiply(identity,X0))),
% 0.16/0.65 inference(paramodulation,[status(thm)],[f27,f140])).
% 0.16/0.65 fof(f186,plain,(
% 0.16/0.65 ![X0]: (inverse(inverse(X0))=X0)),
% 0.16/0.65 inference(forward_demodulation,[status(thm)],[f28,f177])).
% 0.16/0.65 fof(f191,plain,(
% 0.16/0.65 ![X0,X1]: (X0=multiply(multiply(X0,X1),inverse(X1)))),
% 0.16/0.65 inference(paramodulation,[status(thm)],[f186,f140])).
% 0.16/0.65 fof(f221,plain,(
% 0.16/0.65 ![X0,X1,X2]: (product(X0,multiply(X1,X2),multiply(multiply(X0,X1),X2)))),
% 0.16/0.65 inference(resolution,[status(thm)],[f72,f14])).
% 0.16/0.65 fof(f481,plain,(
% 0.16/0.65 ![X0,X1]: (product(inverse(X0),multiply(X0,X1),multiply(identity,X1)))),
% 0.16/0.65 inference(paramodulation,[status(thm)],[f27,f221])).
% 0.16/0.65 fof(f492,plain,(
% 0.16/0.66 ![X0,X1]: (product(inverse(X0),multiply(X0,X1),X1))),
% 0.16/0.66 inference(forward_demodulation,[status(thm)],[f28,f481])).
% 0.16/0.66 fof(f507,plain,(
% 0.16/0.66 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 0.16/0.66 inference(resolution,[status(thm)],[f492,f26])).
% 0.16/0.66 fof(f591,plain,(
% 0.16/0.66 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),X0)=inverse(X1))),
% 0.16/0.66 inference(paramodulation,[status(thm)],[f191,f507])).
% 0.16/0.66 fof(f898,plain,(
% 0.16/0.66 ![X0,X1]: (multiply(inverse(X0),inverse(X1))=inverse(multiply(X1,X0)))),
% 0.16/0.66 inference(paramodulation,[status(thm)],[f507,f591])).
% 0.16/0.66 fof(f1924,plain,(
% 0.16/0.66 ~inverse(multiply(a,b))=inverse(multiply(a,b))),
% 0.16/0.66 inference(backward_demodulation,[status(thm)],[f898,f21])).
% 0.16/0.66 fof(f1972,plain,(
% 0.16/0.66 $false),
% 0.16/0.66 inference(trivial_equality_resolution,[status(thm)],[f1924])).
% 0.16/0.66 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.67 % Elapsed time: 0.128291 seconds
% 0.16/0.67 % CPU time: 0.724336 seconds
% 0.16/0.67 % Total memory used: 50.513 MB
% 0.16/0.67 % Net memory used: 49.077 MB
%------------------------------------------------------------------------------