TSTP Solution File: GRP120-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP120-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:10:16 EDT 2023
% Result : Unsatisfiable 7.85s 1.38s
% Output : CNFRefutation 7.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 3
% Syntax : Number of formulae : 128 ( 128 unt; 0 def)
% Number of atoms : 128 ( 127 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 210 (; 210 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Y,X,Z] : multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,multiply(Z,Z)))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
multiply(identity,identity) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(identity,a) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
multiply(identity,identity) = identity,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
multiply(identity,a) != a,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2)))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,X2))),
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f9,plain,
! [X0] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,multiply(identity,identity)))) = identity,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f10,plain,
! [X0] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,identity))) = identity,
inference(forward_demodulation,[status(thm)],[f5,f9]) ).
fof(f11,plain,
! [X0] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity)) = identity,
inference(forward_demodulation,[status(thm)],[f5,f10]) ).
fof(f13,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),multiply(identity,identity))) = X1,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f14,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),identity)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f13]) ).
fof(f34,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))) = multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(identity,X0))),
inference(paramodulation,[status(thm)],[f5,f7]) ).
fof(f35,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))) = multiply(identity,multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(identity,X0))),
inference(forward_demodulation,[status(thm)],[f5,f34]) ).
fof(f36,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))) = multiply(identity,multiply(multiply(identity,multiply(identity,identity)),multiply(identity,X0))),
inference(forward_demodulation,[status(thm)],[f5,f35]) ).
fof(f37,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))) = multiply(identity,multiply(multiply(identity,identity),multiply(identity,X0))),
inference(forward_demodulation,[status(thm)],[f5,f36]) ).
fof(f38,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))) = multiply(identity,multiply(identity,multiply(identity,X0))),
inference(forward_demodulation,[status(thm)],[f5,f37]) ).
fof(f107,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(identity,multiply(identity,identity)),multiply(identity,multiply(identity,identity)))))),identity)) = X1,
inference(paramodulation,[status(thm)],[f7,f14]) ).
fof(f108,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(multiply(identity,identity),multiply(multiply(identity,multiply(identity,identity)),multiply(identity,multiply(identity,identity)))))),identity)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f107]) ).
fof(f109,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(multiply(identity,multiply(identity,identity)),multiply(identity,multiply(identity,identity)))))),identity)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f108]) ).
fof(f110,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(multiply(identity,identity),multiply(identity,multiply(identity,identity)))))),identity)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f109]) ).
fof(f111,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity)))))),identity)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f110]) ).
fof(f112,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,multiply(identity,identity))))),identity)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f111]) ).
fof(f113,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,identity)))),identity)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f112]) ).
fof(f114,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity))),identity)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f113]) ).
fof(f115,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f114]) ).
fof(f132,plain,
! [X0] : multiply(identity,multiply(multiply(identity,multiply(multiply(identity,X0),identity)),identity)) = X0,
inference(paramodulation,[status(thm)],[f5,f115]) ).
fof(f144,plain,
! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,identity)),identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity),
inference(paramodulation,[status(thm)],[f11,f115]) ).
fof(f145,plain,
! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity),
inference(forward_demodulation,[status(thm)],[f5,f144]) ).
fof(f161,plain,
! [X0] : multiply(identity,multiply(X0,identity)) = multiply(multiply(identity,X0),identity),
inference(paramodulation,[status(thm)],[f132,f132]) ).
fof(f183,plain,
! [X0,X1] : multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity)) = multiply(multiply(identity,multiply(multiply(identity,identity),multiply(X0,X1))),multiply(X1,multiply(X1,X1))),
inference(paramodulation,[status(thm)],[f4,f132]) ).
fof(f184,plain,
! [X0,X1] : multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity)) = multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))),
inference(forward_demodulation,[status(thm)],[f5,f183]) ).
fof(f202,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))) = X0,
inference(backward_demodulation,[status(thm)],[f161,f132]) ).
fof(f203,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))) = X0,
inference(forward_demodulation,[status(thm)],[f161,f202]) ).
fof(f204,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))) = X0,
inference(forward_demodulation,[status(thm)],[f161,f203]) ).
fof(f255,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(identity,multiply(X1,identity)))),identity)) = multiply(identity,X1),
inference(paramodulation,[status(thm)],[f161,f14]) ).
fof(f749,plain,
! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))) = X0,
inference(paramodulation,[status(thm)],[f145,f115]) ).
fof(f975,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity)) = multiply(identity,multiply(identity,multiply(multiply(identity,identity),multiply(X1,identity)))),
inference(paramodulation,[status(thm)],[f14,f255]) ).
fof(f976,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),
inference(forward_demodulation,[status(thm)],[f5,f975]) ).
fof(f2263,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),identity)),identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity),
inference(paramodulation,[status(thm)],[f976,f115]) ).
fof(f2264,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity))),identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity),
inference(forward_demodulation,[status(thm)],[f161,f2263]) ).
fof(f2265,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X1,identity)),identity)))),identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity),
inference(forward_demodulation,[status(thm)],[f161,f2264]) ).
fof(f2266,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))))),identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity),
inference(forward_demodulation,[status(thm)],[f161,f2265]) ).
fof(f2267,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity),
inference(forward_demodulation,[status(thm)],[f204,f2266]) ).
fof(f2274,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),
inference(backward_demodulation,[status(thm)],[f2267,f976]) ).
fof(f4897,plain,
! [X0,X1] : multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))) = multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))),
inference(forward_demodulation,[status(thm)],[f161,f184]) ).
fof(f4902,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(identity,identity),identity))) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
inference(paramodulation,[status(thm)],[f204,f4897]) ).
fof(f4903,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity)))) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[status(thm)],[f161,f4902]) ).
fof(f4904,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,identity))) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[status(thm)],[f5,f4903]) ).
fof(f4905,plain,
! [X0] : multiply(identity,multiply(identity,identity)) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[status(thm)],[f5,f4904]) ).
fof(f4906,plain,
! [X0] : multiply(identity,identity) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[status(thm)],[f5,f4905]) ).
fof(f4907,plain,
! [X0] : identity = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[status(thm)],[f5,f4906]) ).
fof(f5804,plain,
! [X0] : multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,X0))),identity)),identity)) = multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))))),
inference(paramodulation,[status(thm)],[f38,f115]) ).
fof(f5805,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))))),
inference(forward_demodulation,[status(thm)],[f115,f5804]) ).
fof(f6051,plain,
! [X0] : multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),identity)),identity)) = multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))),
inference(paramodulation,[status(thm)],[f5805,f115]) ).
fof(f6052,plain,
! [X0] : multiply(identity,X0) = multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))),
inference(forward_demodulation,[status(thm)],[f115,f6051]) ).
fof(f6068,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,X1),multiply(identity,X2))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,X2))),
inference(backward_demodulation,[status(thm)],[f6052,f7]) ).
fof(f6114,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,multiply(X2,multiply(X2,X2))))),multiply(identity,X2))) = X1,
inference(paramodulation,[status(thm)],[f6052,f4]) ).
fof(f6541,plain,
! [X0,X1] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1))))),multiply(identity,X1))) = X0,
inference(paramodulation,[status(thm)],[f5,f6114]) ).
fof(f6710,plain,
! [X0,X1] : multiply(identity,multiply(multiply(identity,X0),multiply(identity,X1))) = multiply(identity,multiply(multiply(identity,identity),multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f4,f6541]) ).
fof(f6711,plain,
! [X0,X1] : multiply(identity,multiply(multiply(identity,X0),multiply(identity,X1))) = multiply(identity,multiply(identity,multiply(X0,X1))),
inference(forward_demodulation,[status(thm)],[f5,f6710]) ).
fof(f6904,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,identity),multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2))))),multiply(identity,X2))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)),
inference(paramodulation,[status(thm)],[f6541,f6068]) ).
fof(f6905,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,identity),X1)) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)),
inference(forward_demodulation,[status(thm)],[f6541,f6904]) ).
fof(f7186,plain,
! [X0,X1] : multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,X1))),identity)),identity)) = multiply(multiply(identity,X0),multiply(identity,X1)),
inference(paramodulation,[status(thm)],[f6711,f115]) ).
fof(f7187,plain,
! [X0,X1] : multiply(identity,multiply(X0,X1)) = multiply(multiply(identity,X0),multiply(identity,X1)),
inference(forward_demodulation,[status(thm)],[f115,f7186]) ).
fof(f7760,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,X1),multiply(identity,X2))) = multiply(X0,multiply(multiply(X0,identity),multiply(X1,X2))),
inference(backward_demodulation,[status(thm)],[f6905,f6068]) ).
fof(f7835,plain,
! [X0,X1,X2] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,identity),multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) = X1,
inference(paramodulation,[status(thm)],[f6905,f4]) ).
fof(f8038,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,identity),multiply(X0,multiply(X1,multiply(X1,X1))))),multiply(identity,X1))) = identity,
inference(paramodulation,[status(thm)],[f7760,f6114]) ).
fof(f8039,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,identity),multiply(multiply(multiply(X0,identity),multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = identity,
inference(forward_demodulation,[status(thm)],[f7760,f8038]) ).
fof(f8052,plain,
! [X0,X1,X2] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,multiply(multiply(X0,identity),multiply(X1,X2))),identity)),identity)) = multiply(multiply(X0,X1),multiply(identity,X2)),
inference(paramodulation,[status(thm)],[f7760,f115]) ).
fof(f8053,plain,
! [X0,X1,X2] : multiply(multiply(X0,identity),multiply(X1,X2)) = multiply(multiply(X0,X1),multiply(identity,X2)),
inference(forward_demodulation,[status(thm)],[f115,f8052]) ).
fof(f8201,plain,
! [X0,X1,X2] : multiply(multiply(multiply(identity,X0),identity),multiply(multiply(identity,X1),X2)) = multiply(multiply(identity,multiply(X0,X1)),multiply(identity,X2)),
inference(paramodulation,[status(thm)],[f7187,f8053]) ).
fof(f8202,plain,
! [X0,X1,X2] : multiply(multiply(identity,multiply(X0,identity)),multiply(multiply(identity,X1),X2)) = multiply(multiply(identity,multiply(X0,X1)),multiply(identity,X2)),
inference(forward_demodulation,[status(thm)],[f161,f8201]) ).
fof(f8203,plain,
! [X0,X1,X2] : multiply(multiply(identity,multiply(X0,identity)),multiply(multiply(identity,X1),X2)) = multiply(identity,multiply(multiply(X0,X1),X2)),
inference(forward_demodulation,[status(thm)],[f7187,f8202]) ).
fof(f8232,plain,
! [X0,X1] : multiply(multiply(X0,identity),multiply(X1,identity)) = multiply(multiply(X0,X1),identity),
inference(paramodulation,[status(thm)],[f5,f8053]) ).
fof(f8651,plain,
! [X0] : identity = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),multiply(X0,identity)),identity))),
inference(backward_demodulation,[status(thm)],[f8232,f4907]) ).
fof(f8652,plain,
! [X0] : identity = multiply(X0,multiply(multiply(multiply(X0,identity),multiply(multiply(X0,identity),multiply(X0,identity))),identity)),
inference(forward_demodulation,[status(thm)],[f8232,f8651]) ).
fof(f8653,plain,
! [X0] : identity = multiply(X0,multiply(multiply(multiply(X0,identity),multiply(multiply(X0,X0),identity)),identity)),
inference(forward_demodulation,[status(thm)],[f8232,f8652]) ).
fof(f8654,plain,
! [X0] : identity = multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)),
inference(forward_demodulation,[status(thm)],[f8232,f8653]) ).
fof(f8693,plain,
! [X0,X1] : multiply(multiply(X0,identity),multiply(identity,multiply(X1,identity))) = multiply(multiply(X0,multiply(identity,X1)),identity),
inference(paramodulation,[status(thm)],[f161,f8232]) ).
fof(f8861,plain,
! [X0,X1] : multiply(multiply(multiply(X0,identity),multiply(X0,identity)),multiply(multiply(multiply(X0,multiply(multiply(X0,identity),X1)),identity),identity)) = X1,
inference(paramodulation,[status(thm)],[f8232,f115]) ).
fof(f8862,plain,
! [X0,X1] : multiply(multiply(multiply(X0,X0),identity),multiply(multiply(multiply(X0,multiply(multiply(X0,identity),X1)),identity),identity)) = X1,
inference(forward_demodulation,[status(thm)],[f8232,f8861]) ).
fof(f8863,plain,
! [X0,X1] : multiply(multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,identity),X1)),identity)),identity) = X1,
inference(forward_demodulation,[status(thm)],[f8232,f8862]) ).
fof(f9219,plain,
! [X0] : multiply(X0,multiply(multiply(X0,X0),multiply(identity,identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity),identity)))),
inference(paramodulation,[status(thm)],[f8654,f2274]) ).
fof(f9220,plain,
! [X0] : multiply(X0,multiply(multiply(X0,X0),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity),identity)))),
inference(forward_demodulation,[status(thm)],[f5,f9219]) ).
fof(f9221,plain,
! [X0] : multiply(X0,multiply(multiply(X0,X0),identity)) = multiply(multiply(X0,multiply(X0,X0)),identity),
inference(forward_demodulation,[status(thm)],[f204,f9220]) ).
fof(f10587,plain,
! [X0,X1] : multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,multiply(X1,identity))) = multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(identity,X1)),identity),
inference(paramodulation,[status(thm)],[f9221,f8693]) ).
fof(f10588,plain,
! [X0,X1] : multiply(multiply(X0,identity),multiply(multiply(multiply(X0,X0),identity),multiply(X1,identity))) = multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(identity,X1)),identity),
inference(forward_demodulation,[status(thm)],[f8053,f10587]) ).
fof(f10589,plain,
! [X0,X1] : multiply(multiply(X0,identity),multiply(multiply(multiply(X0,X0),X1),identity)) = multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(identity,X1)),identity),
inference(forward_demodulation,[status(thm)],[f8232,f10588]) ).
fof(f10590,plain,
! [X0,X1] : multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity) = multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(identity,X1)),identity),
inference(forward_demodulation,[status(thm)],[f8232,f10589]) ).
fof(f10591,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)) = multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(identity,X1)),identity),
inference(forward_demodulation,[status(thm)],[f2267,f10590]) ).
fof(f10592,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)) = multiply(multiply(multiply(X0,identity),multiply(multiply(X0,X0),X1)),identity),
inference(forward_demodulation,[status(thm)],[f8053,f10591]) ).
fof(f11438,plain,
! [X0,X1,X2] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,X2))),multiply(X2,multiply(X2,X2)))) = X1,
inference(paramodulation,[status(thm)],[f7760,f7835]) ).
fof(f16765,plain,
! [X0,X1] : multiply(multiply(identity,X0),multiply(multiply(identity,multiply(X0,identity)),multiply(multiply(multiply(multiply(identity,X0),identity),multiply(multiply(identity,X0),multiply(X1,multiply(X1,X1)))),X1))) = identity,
inference(paramodulation,[status(thm)],[f161,f8039]) ).
fof(f16766,plain,
! [X0,X1] : multiply(multiply(identity,X0),multiply(multiply(identity,multiply(X0,identity)),multiply(multiply(multiply(identity,multiply(X0,identity)),multiply(multiply(identity,X0),multiply(X1,multiply(X1,X1)))),X1))) = identity,
inference(forward_demodulation,[status(thm)],[f161,f16765]) ).
fof(f16767,plain,
! [X0,X1] : multiply(multiply(identity,X0),multiply(multiply(identity,multiply(X0,identity)),multiply(multiply(identity,multiply(multiply(X0,X0),multiply(X1,multiply(X1,X1)))),X1))) = identity,
inference(forward_demodulation,[status(thm)],[f8203,f16766]) ).
fof(f16768,plain,
! [X0,X1] : multiply(multiply(identity,X0),multiply(identity,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,multiply(X1,X1)))),X1))) = identity,
inference(forward_demodulation,[status(thm)],[f8203,f16767]) ).
fof(f16769,plain,
! [X0,X1] : multiply(identity,multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,multiply(X1,X1)))),X1))) = identity,
inference(forward_demodulation,[status(thm)],[f7187,f16768]) ).
fof(f17642,plain,
! [X0,X1,X2] : multiply(multiply(identity,identity),multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(X0,multiply(X0,X0)))) = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,multiply(X2,X2)))),X2)),
inference(paramodulation,[status(thm)],[f16769,f11438]) ).
fof(f17643,plain,
! [X0,X1,X2] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(X0,multiply(X0,X0)))) = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,multiply(X2,X2)))),X2)),
inference(forward_demodulation,[status(thm)],[f5,f17642]) ).
fof(f17644,plain,
! [X0,X1] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,identity),identity)))) = multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,multiply(X1,X1)))),X1)),
inference(forward_demodulation,[status(thm)],[f4897,f17643]) ).
fof(f17645,plain,
! [X0,X1] : identity = multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,multiply(X1,X1)))),X1)),
inference(forward_demodulation,[status(thm)],[f204,f17644]) ).
fof(f17776,plain,
! [X0,X1] : identity = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,identity),multiply(X1,multiply(X1,X1)))),X1)),
inference(paramodulation,[status(thm)],[f6905,f17645]) ).
fof(f18215,plain,
! [X0,X1] : identity = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(X1,X1)))),X1)),
inference(paramodulation,[status(thm)],[f7760,f17776]) ).
fof(f23049,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity)),identity)) = multiply(multiply(multiply(X0,identity),X1),identity),
inference(paramodulation,[status(thm)],[f115,f10592]) ).
fof(f23050,plain,
! [X0,X1] : multiply(multiply(X0,X1),identity) = multiply(multiply(multiply(X0,identity),X1),identity),
inference(forward_demodulation,[status(thm)],[f115,f23049]) ).
fof(f23378,plain,
! [X0] : multiply(multiply(identity,multiply(multiply(identity,multiply(multiply(identity,X0),identity)),identity)),identity) = multiply(X0,identity),
inference(paramodulation,[status(thm)],[f115,f23050]) ).
fof(f23379,plain,
! [X0] : multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,X0),identity)),identity),identity)) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f161,f23378]) ).
fof(f23380,plain,
! [X0] : multiply(identity,multiply(multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity)),identity)) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f161,f23379]) ).
fof(f23381,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,X0),identity),identity),identity))) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f161,f23380]) ).
fof(f23382,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f23050,f23381]) ).
fof(f23383,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f161,f23382]) ).
fof(f23384,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f161,f23383]) ).
fof(f23385,plain,
! [X0] : X0 = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f204,f23384]) ).
fof(f23777,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,identity),X1)),identity)) = X1,
inference(backward_demodulation,[status(thm)],[f23385,f8863]) ).
fof(f23778,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(X0,multiply(multiply(X0,identity),X1))) = X1,
inference(forward_demodulation,[status(thm)],[f23385,f23777]) ).
fof(f23779,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(X0,multiply(X0,X1))) = X1,
inference(forward_demodulation,[status(thm)],[f23385,f23778]) ).
fof(f23805,plain,
! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(X0,identity))) = X0,
inference(backward_demodulation,[status(thm)],[f23385,f749]) ).
fof(f23806,plain,
! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,X0),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f23385,f23805]) ).
fof(f23837,plain,
! [X0] : identity = multiply(multiply(X0,X0),multiply(X0,multiply(multiply(X0,identity),multiply(identity,multiply(identity,identity))))),
inference(paramodulation,[status(thm)],[f23385,f18215]) ).
fof(f23838,plain,
! [X0] : identity = multiply(multiply(X0,X0),multiply(X0,multiply(X0,multiply(identity,multiply(identity,identity))))),
inference(forward_demodulation,[status(thm)],[f23385,f23837]) ).
fof(f23839,plain,
! [X0] : identity = multiply(multiply(X0,X0),multiply(X0,multiply(X0,multiply(identity,identity)))),
inference(forward_demodulation,[status(thm)],[f23385,f23838]) ).
fof(f23840,plain,
! [X0] : identity = multiply(multiply(X0,X0),multiply(X0,multiply(X0,identity))),
inference(forward_demodulation,[status(thm)],[f23385,f23839]) ).
fof(f23841,plain,
! [X0] : identity = multiply(multiply(X0,X0),multiply(X0,X0)),
inference(forward_demodulation,[status(thm)],[f23385,f23840]) ).
fof(f24816,plain,
! [X0] : multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X0) = X0,
inference(paramodulation,[status(thm)],[f23806,f23779]) ).
fof(f24817,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f23841,f24816]) ).
fof(f24836,plain,
a != a,
inference(backward_demodulation,[status(thm)],[f24817,f6]) ).
fof(f24837,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f24836]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP120-1 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:43:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 7.85/1.38 % Refutation found
% 7.85/1.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.85/1.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.37/1.44 % Elapsed time: 1.085953 seconds
% 8.37/1.44 % CPU time: 8.370927 seconds
% 8.37/1.44 % Memory used: 169.200 MB
%------------------------------------------------------------------------------