%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP200-1 : TPTP v9.3.1. Released v2.2.0.
% 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 12:36:15 PM UTC 2026
% Result : Unsatisfiable 9.66s 1.65s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP200-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:05:48 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 9.66/1.65 % Refutation found
% 9.66/1.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.66/1.65 % SZS output start CNFRefutation for theBenchmark
% 9.66/1.65 fof(f1,axiom,(
% 9.66/1.65 (![X]: (multiply(identity,X) = X ))),
% 9.66/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.66/1.65 fof(f2,axiom,(
% 9.66/1.65 (![X]: (multiply(X,identity) = X ))),
% 9.66/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.66/1.65 fof(f3,axiom,(
% 9.66/1.65 (![X,Y]: (multiply(X,left_division(X,Y)) = Y ))),
% 9.66/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.66/1.65 fof(f4,axiom,(
% 9.66/1.65 (![X,Y]: (left_division(X,multiply(X,Y)) = Y ))),
% 9.66/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.66/1.65 fof(f5,axiom,(
% 9.66/1.65 (![X,Y]: (multiply(right_division(X,Y),Y) = X ))),
% 9.66/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.66/1.65 fof(f7,axiom,(
% 9.66/1.65 (![X]: (multiply(X,right_inverse(X)) = identity ))),
% 9.66/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.66/1.65 fof(f9,axiom,(
% 9.66/1.65 (![X,Y,Z]: (multiply(multiply(X,multiply(Y,Z)),X) = multiply(multiply(X,Y),multiply(Z,X)) ))),
% 9.66/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.66/1.65 fof(f10,negated_conjecture,(
% 9.66/1.65 multiply(multiply(multiply(a,b),c),b) != multiply(a,multiply(b,multiply(c,b))) ),
% 9.66/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.66/1.65 fof(f11,plain,(
% 9.66/1.65 ![X0]: (multiply(identity,X0)=X0)),
% 9.66/1.65 inference(cnf_transformation,[status(thm)],[f1])).
% 9.66/1.65 fof(f12,plain,(
% 9.66/1.65 ![X0]: (multiply(X0,identity)=X0)),
% 9.66/1.65 inference(cnf_transformation,[status(thm)],[f2])).
% 9.66/1.65 fof(f13,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(X0,left_division(X0,X1))=X1)),
% 9.66/1.65 inference(cnf_transformation,[status(thm)],[f3])).
% 9.66/1.65 fof(f14,plain,(
% 9.66/1.65 ![X0,X1]: (left_division(X0,multiply(X0,X1))=X1)),
% 9.66/1.65 inference(cnf_transformation,[status(thm)],[f4])).
% 9.66/1.65 fof(f15,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(right_division(X0,X1),X1)=X0)),
% 9.66/1.65 inference(cnf_transformation,[status(thm)],[f5])).
% 9.66/1.65 fof(f17,plain,(
% 9.66/1.65 ![X0]: (multiply(X0,right_inverse(X0))=identity)),
% 9.66/1.65 inference(cnf_transformation,[status(thm)],[f7])).
% 9.66/1.65 fof(f19,plain,(
% 9.66/1.65 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,X2)),X0)=multiply(multiply(X0,X1),multiply(X2,X0)))),
% 9.66/1.65 inference(cnf_transformation,[status(thm)],[f9])).
% 9.66/1.65 fof(f20,plain,(
% 9.66/1.65 ~multiply(multiply(multiply(a,b),c),b)=multiply(a,multiply(b,multiply(c,b)))),
% 9.66/1.65 inference(cnf_transformation,[status(thm)],[f10])).
% 9.66/1.65 fof(f36,plain,(
% 9.66/1.65 ![X0]: (left_division(X0,X0)=identity)),
% 9.66/1.65 inference(paramodulation,[status(thm)],[f12,f14])).
% 9.66/1.65 fof(f86,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(multiply(X0,X1),X0)=multiply(multiply(X0,identity),multiply(X1,X0)))),
% 9.66/1.65 inference(paramodulation,[status(thm)],[f11,f19])).
% 9.66/1.65 fof(f100,plain,(
% 9.66/1.65 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,X2),X0))=multiply(multiply(X0,X1),multiply(X2,X0)))),
% 9.66/1.65 inference(backward_demodulation,[status(thm)],[f102,f19])).
% 9.66/1.65 fof(f102,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(multiply(X0,X1),X0)=multiply(X0,multiply(X1,X0)))),
% 9.66/1.65 inference(forward_demodulation,[status(thm)],[f12,f86])).
% 9.66/1.65 fof(f159,plain,(
% 9.66/1.65 ![X0]: (multiply(identity,X0)=multiply(X0,multiply(right_inverse(X0),X0)))),
% 9.66/1.65 inference(paramodulation,[status(thm)],[f17,f102])).
% 9.66/1.65 fof(f160,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(X0,X1)=multiply(X1,multiply(left_division(X1,X0),X1)))),
% 9.66/1.65 inference(paramodulation,[status(thm)],[f13,f102])).
% 9.66/1.65 fof(f173,plain,(
% 9.66/1.65 ![X0]: (X0=multiply(X0,multiply(right_inverse(X0),X0)))),
% 9.66/1.65 inference(forward_demodulation,[status(thm)],[f11,f159])).
% 9.66/1.65 fof(f185,plain,(
% 9.66/1.65 ![X0]: (left_division(X0,X0)=multiply(right_inverse(X0),X0))),
% 9.66/1.65 inference(paramodulation,[status(thm)],[f173,f14])).
% 9.66/1.65 fof(f193,plain,(
% 9.66/1.65 ![X0]: (identity=multiply(right_inverse(X0),X0))),
% 9.66/1.65 inference(forward_demodulation,[status(thm)],[f36,f185])).
% 9.66/1.65 fof(f234,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(multiply(X0,X1),X1)=multiply(X1,multiply(multiply(left_division(X1,X0),X1),X1)))),
% 9.66/1.65 inference(paramodulation,[status(thm)],[f160,f102])).
% 9.66/1.65 fof(f247,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(right_inverse(X0),multiply(multiply(X0,X1),right_inverse(X0)))=multiply(identity,multiply(X1,right_inverse(X0))))),
% 9.66/1.65 inference(paramodulation,[status(thm)],[f193,f100])).
% 9.66/1.65 fof(f254,plain,(
% 9.66/1.65 ![X0,X1,X2]: (multiply(X0,multiply(multiply(left_division(X0,X1),X2),X0))=multiply(X1,multiply(X2,X0)))),
% 9.66/1.65 inference(paramodulation,[status(thm)],[f13,f100])).
% 9.66/1.65 fof(f257,plain,(
% 9.66/1.65 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X1,X3)),multiply(X0,X1)))=multiply(multiply(multiply(X0,X1),X2),multiply(X1,multiply(multiply(X3,X0),X1))))),
% 9.66/1.65 inference(paramodulation,[status(thm)],[f100,f100])).
% 9.66/1.65 fof(f259,plain,(
% 9.66/1.65 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,right_division(X2,X0)),X0))=multiply(multiply(X0,X1),X2))),
% 9.66/1.65 inference(paramodulation,[status(thm)],[f15,f100])).
% 9.66/1.65 fof(f262,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(right_inverse(X0),multiply(multiply(X1,X0),right_inverse(X0)))=multiply(multiply(right_inverse(X0),X1),identity))),
% 9.66/1.65 inference(paramodulation,[status(thm)],[f17,f100])).
% 9.66/1.65 fof(f268,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(right_inverse(X0),multiply(multiply(X0,X1),right_inverse(X0)))=multiply(X1,right_inverse(X0)))),
% 9.66/1.65 inference(forward_demodulation,[status(thm)],[f11,f247])).
% 9.66/1.65 fof(f272,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(multiply(X0,X1),X1)=multiply(X0,multiply(X1,X1)))),
% 9.66/1.65 inference(backward_demodulation,[status(thm)],[f254,f234])).
% 9.66/1.65 fof(f275,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(right_inverse(X0),multiply(multiply(X1,X0),right_inverse(X0)))=multiply(right_inverse(X0),X1))),
% 9.66/1.65 inference(forward_demodulation,[status(thm)],[f12,f262])).
% 9.66/1.65 fof(f792,plain,(
% 9.66/1.65 ![X0]: (multiply(identity,X0)=multiply(right_inverse(X0),multiply(X0,X0)))),
% 9.66/1.65 inference(paramodulation,[status(thm)],[f193,f272])).
% 9.66/1.65 fof(f824,plain,(
% 9.66/1.65 ![X0]: (X0=multiply(right_inverse(X0),multiply(X0,X0)))),
% 9.66/1.65 inference(forward_demodulation,[status(thm)],[f11,f792])).
% 9.66/1.65 fof(f862,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(right_inverse(X0),multiply(multiply(multiply(X0,X0),X1),right_inverse(X0)))=multiply(X0,multiply(X1,right_inverse(X0))))),
% 9.66/1.65 inference(paramodulation,[status(thm)],[f824,f100])).
% 9.66/1.65 fof(f2304,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(X0,multiply(X0,multiply(right_division(X1,X0),X0)))=multiply(multiply(X0,X0),X1))),
% 9.66/1.65 inference(paramodulation,[status(thm)],[f102,f259])).
% 9.66/1.65 fof(f2374,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(right_inverse(X0),multiply(multiply(X0,multiply(X0,X1)),right_inverse(X0)))=multiply(X0,multiply(X1,right_inverse(X0))))),
% 9.66/1.65 inference(backward_demodulation,[status(thm)],[f2378,f862])).
% 9.66/1.65 fof(f2378,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(X0,multiply(X0,X1))=multiply(multiply(X0,X0),X1))),
% 9.66/1.65 inference(forward_demodulation,[status(thm)],[f15,f2304])).
% 9.66/1.65 fof(f2435,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(right_inverse(X0),multiply(X0,multiply(X1,right_inverse(X0))))=multiply(X1,right_inverse(X0)))),
% 9.66/1.65 inference(backward_demodulation,[status(thm)],[f2436,f268])).
% 9.66/1.65 fof(f2436,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(multiply(X0,X1),right_inverse(X0))=multiply(X0,multiply(X1,right_inverse(X0))))),
% 9.66/1.65 inference(forward_demodulation,[status(thm)],[f268,f2374])).
% 9.66/1.65 fof(f2828,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(right_inverse(X0),multiply(multiply(X0,multiply(X1,X0)),right_inverse(X0)))=multiply(right_inverse(X0),multiply(X0,X1)))),
% 9.66/1.65 inference(paramodulation,[status(thm)],[f102,f275])).
% 9.66/1.65 fof(f2865,plain,(
% 9.66/1.65 ![X0,X1]: (left_division(right_inverse(X0),multiply(right_inverse(X0),X1))=multiply(multiply(X1,X0),right_inverse(X0)))),
% 9.66/1.65 inference(paramodulation,[status(thm)],[f275,f14])).
% 9.66/1.65 fof(f2901,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(right_inverse(X0),multiply(X0,multiply(multiply(X1,X0),right_inverse(X0))))=multiply(right_inverse(X0),multiply(X0,X1)))),
% 9.66/1.65 inference(forward_demodulation,[status(thm)],[f2436,f2828])).
% 9.66/1.65 fof(f2904,plain,(
% 9.66/1.65 ![X0,X1]: (multiply(multiply(X0,X1),right_inverse(X1))=multiply(right_inverse(X1),multiply(X1,X0)))),
% 9.66/1.65 inference(forward_demodulation,[status(thm)],[f2435,f2901])).
% 9.66/1.65 fof(f3031,plain,(
% 9.66/1.65 ![X0,X1]: (X0=multiply(right_inverse(X1),multiply(X1,X0)))),
% 9.66/1.65 inference(backward_demodulation,[status(thm)],[f3032,f2904])).
% 9.66/1.65 fof(f3032,plain,(
% 9.66/1.65 ![X0,X1]: (X0=multiply(multiply(X0,X1),right_inverse(X1)))),
% 9.66/1.65 inference(forward_demodulation,[status(thm)],[f14,f2865])).
% 9.66/1.65 fof(f3085,plain,(
% 9.66/1.65 ![X0,X1]: (right_division(X0,X1)=multiply(X0,right_inverse(X1)))),
% 9.66/1.65 inference(paramodulation,[status(thm)],[f15,f3032])).
% 9.66/1.65 fof(f3099,plain,(
% 9.66/1.65 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(multiply(right_inverse(X1),multiply(X1,X2)),multiply(X0,X1)))=multiply(X0,multiply(X1,multiply(multiply(X2,X0),X1))))),
% 2.79/1.72 inference(paramodulation,[status(thm)],[f3032,f257])).
% 2.79/1.72 fof(f3281,plain,(
% 2.79/1.72 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(X2,multiply(X0,X1)))=multiply(X0,multiply(X1,multiply(multiply(X2,X0),X1))))),
% 2.79/1.72 inference(forward_demodulation,[status(thm)],[f3031,f3099])).
% 2.79/1.72 fof(f3609,plain,(
% 2.79/1.72 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(multiply(X2,right_inverse(X0)),multiply(X0,X1)))=multiply(multiply(multiply(X0,X1),X2),X1))),
% 2.79/1.72 inference(paramodulation,[status(thm)],[f3031,f100])).
% 2.79/1.72 fof(f3686,plain,(
% 2.79/1.72 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(multiply(multiply(X2,right_inverse(X0)),X0),X1)))=multiply(multiply(multiply(X0,X1),X2),X1))),
% 2.79/1.72 inference(forward_demodulation,[status(thm)],[f3281,f3609])).
% 2.79/1.72 fof(f3687,plain,(
% 2.79/1.72 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(multiply(right_division(X2,X0),X0),X1)))=multiply(multiply(multiply(X0,X1),X2),X1))),
% 2.79/1.72 inference(forward_demodulation,[status(thm)],[f3085,f3686])).
% 2.79/1.72 fof(f3688,plain,(
% 2.79/1.72 ~multiply(a,multiply(b,multiply(c,b)))=multiply(a,multiply(b,multiply(c,b)))),
% 2.79/1.72 inference(backward_demodulation,[status(thm)],[f3742,f20])).
% 2.79/1.72 fof(f3742,plain,(
% 2.79/1.72 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(X2,X1)))=multiply(multiply(multiply(X0,X1),X2),X1))),
% 2.79/1.72 inference(forward_demodulation,[status(thm)],[f15,f3687])).
% 2.79/1.72 fof(f3777,plain,(
% 2.79/1.72 $false),
% 2.79/1.72 inference(trivial_equality_resolution,[status(thm)],[f3688])).
% 2.79/1.72 % SZS output end CNFRefutation for theBenchmark.p
% 2.79/1.73 % Elapsed time: 1.368189 seconds
% 2.79/1.73 % CPU time: 10.505798 seconds
% 2.79/1.73 % Total memory used: 227.363 MB
% 2.79/1.73 % Net memory used: 223.826 MB
%------------------------------------------------------------------------------