TSTP Solution File: GRP583-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP583-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 : Tue Apr 30 20:21:00 EDT 2024
% Result : Unsatisfiable 0.20s 0.53s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 5
% Syntax : Number of formulae : 169 ( 169 unt; 0 def)
% Number of atoms : 169 ( 168 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 359 ( 359 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity)) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0] : inverse(X0) = double_divide(X0,identity),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0] : identity = double_divide(X0,inverse(X0)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = double_divide(multiply(X1,X0),identity),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f14,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f15,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f11]) ).
fof(f16,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f14]) ).
fof(f17,plain,
! [X0] : inverse(multiply(identity,X0)) = multiply(identity,inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f15]) ).
fof(f25,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f16,f9]) ).
fof(f26,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f14,f9]) ).
fof(f28,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f14]) ).
fof(f31,plain,
! [X0,X1] : inverse(identity) = multiply(multiply(X0,X1),double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f14,f28]) ).
fof(f114,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),inverse(identity)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f6]) ).
fof(f116,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,double_divide(inverse(identity),double_divide(X0,double_divide(identity,X1)))),inverse(identity)),
inference(paramodulation,[status(thm)],[f8,f114]) ).
fof(f119,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1))))),double_divide(X0,X3))),inverse(identity)),
inference(paramodulation,[status(thm)],[f114,f114]) ).
fof(f122,plain,
! [X0,X1] : X0 = double_divide(double_divide(inverse(X1),double_divide(double_divide(identity,X1),double_divide(X0,identity))),inverse(identity)),
inference(paramodulation,[status(thm)],[f9,f114]) ).
fof(f123,plain,
! [X0,X1] : X0 = double_divide(double_divide(identity,double_divide(double_divide(identity,X1),double_divide(X0,inverse(X1)))),inverse(identity)),
inference(paramodulation,[status(thm)],[f8,f114]) ).
fof(f132,plain,
! [X0,X1] : X0 = double_divide(double_divide(inverse(X1),double_divide(double_divide(identity,X1),inverse(X0))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f122]) ).
fof(f145,plain,
! [X0] : X0 = double_divide(double_divide(inverse(identity),double_divide(inverse(identity),double_divide(X0,identity))),inverse(identity)),
inference(paramodulation,[status(thm)],[f9,f116]) ).
fof(f152,plain,
! [X0] : X0 = double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X0))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f145]) ).
fof(f232,plain,
! [X0] : double_divide(identity,X0) = double_divide(double_divide(inverse(X0),identity),inverse(identity)),
inference(paramodulation,[status(thm)],[f9,f132]) ).
fof(f251,plain,
! [X0] : double_divide(identity,X0) = double_divide(inverse(inverse(X0)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f232]) ).
fof(f252,plain,
! [X0] : double_divide(identity,X0) = double_divide(multiply(identity,X0),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f16,f251]) ).
fof(f376,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(multiply(X1,X2),double_divide(double_divide(identity,double_divide(X2,X1)),double_divide(X3,identity)))),double_divide(X0,X3))),inverse(identity)),
inference(paramodulation,[status(thm)],[f26,f119]) ).
fof(f406,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(multiply(X1,X2),double_divide(double_divide(identity,double_divide(X2,X1)),inverse(X3)))),double_divide(X0,X3))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f376]) ).
fof(f425,plain,
! [X0,X1,X2,X3] : double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))),double_divide(X3,X2))) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X3)),inverse(identity)),
inference(paramodulation,[status(thm)],[f119,f123]) ).
fof(f429,plain,
! [X0,X1] : double_divide(X0,double_divide(inverse(identity),double_divide(X1,double_divide(identity,X0)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X1)),inverse(identity)),
inference(paramodulation,[status(thm)],[f116,f123]) ).
fof(f431,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X2)),inverse(identity)),
inference(paramodulation,[status(thm)],[f114,f123]) ).
fof(f433,plain,
! [X0] : X0 = double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),inverse(identity)),
inference(paramodulation,[status(thm)],[f9,f123]) ).
fof(f449,plain,
! [X0,X1,X2,X3] : double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))),double_divide(X3,X2))) = double_divide(double_divide(identity,double_divide(inverse(identity),X3)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f425]) ).
fof(f453,plain,
! [X0,X1] : double_divide(X0,double_divide(inverse(identity),double_divide(X1,double_divide(identity,X0)))) = double_divide(double_divide(identity,double_divide(inverse(identity),X1)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f429]) ).
fof(f455,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(double_divide(identity,double_divide(inverse(identity),X2)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f431]) ).
fof(f457,plain,
! [X0] : X0 = double_divide(double_divide(identity,inverse(double_divide(identity,X0))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f433]) ).
fof(f458,plain,
! [X0] : X0 = double_divide(double_divide(identity,multiply(X0,identity)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f14,f457]) ).
fof(f507,plain,
inverse(identity) = double_divide(double_divide(identity,inverse(identity)),inverse(identity)),
inference(paramodulation,[status(thm)],[f28,f458]) ).
fof(f519,plain,
inverse(identity) = double_divide(identity,inverse(identity)),
inference(forward_demodulation,[status(thm)],[f9,f507]) ).
fof(f520,plain,
inverse(identity) = identity,
inference(forward_demodulation,[status(thm)],[f9,f519]) ).
fof(f522,plain,
! [X0] : X0 = double_divide(double_divide(identity,multiply(X0,identity)),identity),
inference(backward_demodulation,[status(thm)],[f520,f458]) ).
fof(f526,plain,
! [X0] : X0 = double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X0))),identity),
inference(backward_demodulation,[status(thm)],[f520,f152]) ).
fof(f530,plain,
! [X0] : double_divide(identity,X0) = double_divide(multiply(identity,X0),identity),
inference(backward_demodulation,[status(thm)],[f520,f252]) ).
fof(f531,plain,
! [X0,X1] : X0 = double_divide(double_divide(inverse(X1),double_divide(double_divide(identity,X1),inverse(X0))),identity),
inference(backward_demodulation,[status(thm)],[f520,f132]) ).
fof(f534,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,double_divide(inverse(identity),double_divide(X0,double_divide(identity,X1)))),identity),
inference(backward_demodulation,[status(thm)],[f520,f116]) ).
fof(f539,plain,
! [X0,X1] : identity = multiply(multiply(X0,X1),double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f520,f31]) ).
fof(f541,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(backward_demodulation,[status(thm)],[f520,f28]) ).
fof(f548,plain,
! [X0] : X0 = inverse(double_divide(identity,multiply(X0,identity))),
inference(forward_demodulation,[status(thm)],[f8,f522]) ).
fof(f549,plain,
! [X0] : X0 = multiply(multiply(X0,identity),identity),
inference(forward_demodulation,[status(thm)],[f14,f548]) ).
fof(f559,plain,
! [X0] : X0 = inverse(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f8,f526]) ).
fof(f560,plain,
! [X0] : X0 = multiply(double_divide(inverse(identity),inverse(X0)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f14,f559]) ).
fof(f561,plain,
! [X0] : X0 = multiply(double_divide(identity,inverse(X0)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f520,f560]) ).
fof(f562,plain,
! [X0] : X0 = multiply(double_divide(identity,inverse(X0)),identity),
inference(forward_demodulation,[status(thm)],[f520,f561]) ).
fof(f565,plain,
! [X0] : double_divide(identity,X0) = inverse(multiply(identity,X0)),
inference(forward_demodulation,[status(thm)],[f8,f530]) ).
fof(f566,plain,
! [X0,X1] : X0 = inverse(double_divide(inverse(X1),double_divide(double_divide(identity,X1),inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f8,f531]) ).
fof(f567,plain,
! [X0,X1] : X0 = multiply(double_divide(double_divide(identity,X1),inverse(X0)),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f14,f566]) ).
fof(f571,plain,
! [X0,X1] : X0 = inverse(double_divide(X1,double_divide(inverse(identity),double_divide(X0,double_divide(identity,X1))))),
inference(forward_demodulation,[status(thm)],[f8,f534]) ).
fof(f572,plain,
! [X0,X1] : X0 = multiply(double_divide(inverse(identity),double_divide(X0,double_divide(identity,X1))),X1),
inference(forward_demodulation,[status(thm)],[f14,f571]) ).
fof(f573,plain,
! [X0,X1] : X0 = multiply(double_divide(identity,double_divide(X0,double_divide(identity,X1))),X1),
inference(forward_demodulation,[status(thm)],[f520,f572]) ).
fof(f622,plain,
! [X0] : double_divide(identity,inverse(X0)) = multiply(X0,identity),
inference(paramodulation,[status(thm)],[f562,f549]) ).
fof(f625,plain,
! [X0] : double_divide(identity,X0) = multiply(identity,inverse(X0)),
inference(paramodulation,[status(thm)],[f17,f565]) ).
fof(f693,plain,
! [X0] : multiply(inverse(X0),identity) = double_divide(identity,multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f16,f622]) ).
fof(f699,plain,
! [X0] : multiply(inverse(X0),identity) = inverse(multiply(X0,identity)),
inference(paramodulation,[status(thm)],[f622,f14]) ).
fof(f863,plain,
! [X0] : multiply(multiply(X0,identity),identity) = double_divide(identity,multiply(inverse(X0),identity)),
inference(paramodulation,[status(thm)],[f699,f622]) ).
fof(f877,plain,
! [X0] : X0 = double_divide(identity,multiply(inverse(X0),identity)),
inference(forward_demodulation,[status(thm)],[f549,f863]) ).
fof(f885,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(identity,multiply(multiply(X1,X0),identity)),
inference(paramodulation,[status(thm)],[f14,f877]) ).
fof(f959,plain,
! [X0] : identity = multiply(double_divide(double_divide(identity,X0),identity),inverse(X0)),
inference(paramodulation,[status(thm)],[f520,f567]) ).
fof(f982,plain,
! [X0] : identity = multiply(inverse(double_divide(identity,X0)),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f8,f959]) ).
fof(f983,plain,
! [X0] : identity = multiply(multiply(X0,identity),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f14,f982]) ).
fof(f989,plain,
! [X0] : identity = multiply(X0,inverse(multiply(X0,identity))),
inference(paramodulation,[status(thm)],[f549,f983]) ).
fof(f1001,plain,
! [X0] : identity = multiply(X0,multiply(inverse(X0),identity)),
inference(forward_demodulation,[status(thm)],[f699,f989]) ).
fof(f1456,plain,
! [X0] : double_divide(multiply(inverse(X0),identity),X0) = double_divide(identity,multiply(identity,identity)),
inference(paramodulation,[status(thm)],[f1001,f885]) ).
fof(f1494,plain,
! [X0] : double_divide(multiply(inverse(X0),identity),X0) = multiply(inverse(identity),identity),
inference(forward_demodulation,[status(thm)],[f693,f1456]) ).
fof(f1495,plain,
! [X0] : double_divide(multiply(inverse(X0),identity),X0) = identity,
inference(forward_demodulation,[status(thm)],[f541,f1494]) ).
fof(f1563,plain,
! [X0] : multiply(inverse(double_divide(identity,X0)),identity) = multiply(double_divide(identity,identity),X0),
inference(paramodulation,[status(thm)],[f1495,f573]) ).
fof(f1579,plain,
! [X0] : multiply(multiply(X0,identity),identity) = multiply(double_divide(identity,identity),X0),
inference(forward_demodulation,[status(thm)],[f14,f1563]) ).
fof(f1580,plain,
! [X0] : multiply(multiply(X0,identity),identity) = multiply(inverse(identity),X0),
inference(forward_demodulation,[status(thm)],[f8,f1579]) ).
fof(f1581,plain,
! [X0] : multiply(multiply(X0,identity),identity) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f520,f1580]) ).
fof(f1601,plain,
! [X0] : multiply(identity,X0) = X0,
inference(paramodulation,[status(thm)],[f549,f1581]) ).
fof(f1655,plain,
! [X0] : double_divide(identity,X0) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f1601,f625]) ).
fof(f1656,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f1601,f15]) ).
fof(f1662,plain,
! [X0] : identity = double_divide(inverse(X0),X0),
inference(backward_demodulation,[status(thm)],[f1601,f25]) ).
fof(f1664,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(backward_demodulation,[status(thm)],[f1601,f16]) ).
fof(f1721,plain,
! [X0] : X0 = inverse(multiply(inverse(X0),identity)),
inference(backward_demodulation,[status(thm)],[f1655,f877]) ).
fof(f1738,plain,
! [X0] : X0 = multiply(inverse(inverse(X0)),identity),
inference(forward_demodulation,[status(thm)],[f699,f1721]) ).
fof(f1739,plain,
! [X0] : X0 = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f1664,f1738]) ).
fof(f1814,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(multiply(X1,X2),double_divide(double_divide(identity,double_divide(X2,X1)),inverse(X3)))),double_divide(X0,X3))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f520,f406]) ).
fof(f1815,plain,
! [X0,X1,X2,X3] : X0 = double_divide(inverse(double_divide(double_divide(identity,double_divide(multiply(X1,X2),double_divide(double_divide(identity,double_divide(X2,X1)),inverse(X3)))),double_divide(X0,X3))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f1655,f1814]) ).
fof(f1816,plain,
! [X0,X3,X1,X2] : X0 = double_divide(multiply(double_divide(X0,X3),double_divide(identity,double_divide(multiply(X1,X2),double_divide(double_divide(identity,double_divide(X2,X1)),inverse(X3))))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f14,f1815]) ).
fof(f1817,plain,
! [X0,X3,X1,X2] : X0 = double_divide(multiply(double_divide(X0,X3),inverse(double_divide(multiply(X1,X2),double_divide(double_divide(identity,double_divide(X2,X1)),inverse(X3))))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f1655,f1816]) ).
fof(f1818,plain,
! [X0,X3,X2,X1] : X0 = double_divide(multiply(double_divide(X0,X3),multiply(double_divide(double_divide(identity,double_divide(X2,X1)),inverse(X3)),multiply(X1,X2))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f14,f1817]) ).
fof(f1819,plain,
! [X0,X3,X2,X1] : X0 = double_divide(multiply(double_divide(X0,X3),multiply(double_divide(inverse(double_divide(X2,X1)),inverse(X3)),multiply(X1,X2))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f1655,f1818]) ).
fof(f1820,plain,
! [X0,X3,X1,X2] : X0 = double_divide(multiply(double_divide(X0,X3),multiply(double_divide(multiply(X1,X2),inverse(X3)),multiply(X1,X2))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f14,f1819]) ).
fof(f1821,plain,
! [X0,X3,X1,X2] : X0 = double_divide(multiply(double_divide(X0,X3),multiply(double_divide(multiply(X1,X2),inverse(X3)),multiply(X1,X2))),identity),
inference(forward_demodulation,[status(thm)],[f520,f1820]) ).
fof(f1822,plain,
! [X0,X3,X1,X2] : X0 = inverse(multiply(double_divide(X0,X3),multiply(double_divide(multiply(X1,X2),inverse(X3)),multiply(X1,X2)))),
inference(forward_demodulation,[status(thm)],[f8,f1821]) ).
fof(f1823,plain,
! [X0,X1,X2,X3] : X0 = double_divide(multiply(double_divide(multiply(X1,X2),inverse(X3)),multiply(X1,X2)),double_divide(X0,X3)),
inference(forward_demodulation,[status(thm)],[f1656,f1822]) ).
fof(f1827,plain,
! [X0,X1,X2,X3] : X0 = double_divide(multiply(double_divide(identity,inverse(X1)),multiply(multiply(X2,X3),double_divide(X3,X2))),double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f539,f1823]) ).
fof(f1853,plain,
! [X0,X1,X2,X3] : X0 = double_divide(multiply(inverse(inverse(X1)),multiply(multiply(X2,X3),double_divide(X3,X2))),double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1655,f1827]) ).
fof(f1854,plain,
! [X0,X1,X2,X3] : X0 = double_divide(multiply(X1,multiply(multiply(X2,X3),double_divide(X3,X2))),double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1664,f1853]) ).
fof(f1855,plain,
! [X0,X1] : X0 = double_divide(multiply(X1,identity),double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f539,f1854]) ).
fof(f1856,plain,
! [X0,X1] : X0 = double_divide(X1,double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1739,f1855]) ).
fof(f1903,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,X0),X1),
inference(paramodulation,[status(thm)],[f1856,f1856]) ).
fof(f1937,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f1903,f14]) ).
fof(f2104,plain,
! [X0,X1,X2,X3] : double_divide(identity,double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))),double_divide(X3,X2))) = double_divide(double_divide(identity,double_divide(inverse(identity),X3)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f520,f449]) ).
fof(f2105,plain,
! [X0,X1,X2,X3] : inverse(double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))),double_divide(X3,X2))) = double_divide(double_divide(identity,double_divide(inverse(identity),X3)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f1655,f2104]) ).
fof(f2106,plain,
! [X3,X2,X0,X1] : multiply(double_divide(X3,X2),double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))))) = double_divide(double_divide(identity,double_divide(inverse(identity),X3)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f14,f2105]) ).
fof(f2107,plain,
! [X3,X2,X0,X1] : multiply(double_divide(X3,X2),inverse(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))))) = double_divide(double_divide(identity,double_divide(inverse(identity),X3)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f1655,f2106]) ).
fof(f2108,plain,
! [X3,X2,X1,X0] : multiply(double_divide(X3,X2),multiply(double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))),X0)) = double_divide(double_divide(identity,double_divide(inverse(identity),X3)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f14,f2107]) ).
fof(f2109,plain,
! [X3,X2,X1,X0] : multiply(double_divide(X3,X2),multiply(double_divide(inverse(X1),double_divide(X2,double_divide(X1,X0))),X0)) = double_divide(double_divide(identity,double_divide(inverse(identity),X3)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f1655,f2108]) ).
fof(f2110,plain,
! [X3,X2,X1,X0] : multiply(double_divide(X3,X2),multiply(double_divide(inverse(X1),double_divide(X2,double_divide(X1,X0))),X0)) = double_divide(inverse(double_divide(inverse(identity),X3)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f1655,f2109]) ).
fof(f2111,plain,
! [X3,X2,X1,X0] : multiply(double_divide(X3,X2),multiply(double_divide(inverse(X1),double_divide(X2,double_divide(X1,X0))),X0)) = double_divide(multiply(X3,inverse(identity)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f14,f2110]) ).
fof(f2112,plain,
! [X3,X2,X1,X0] : multiply(double_divide(X3,X2),multiply(double_divide(inverse(X1),double_divide(X2,double_divide(X1,X0))),X0)) = double_divide(multiply(X3,identity),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f520,f2111]) ).
fof(f2113,plain,
! [X3,X2,X1,X0] : multiply(double_divide(X3,X2),multiply(double_divide(inverse(X1),double_divide(X2,double_divide(X1,X0))),X0)) = double_divide(X3,inverse(identity)),
inference(forward_demodulation,[status(thm)],[f1739,f2112]) ).
fof(f2114,plain,
! [X3,X2,X1,X0] : multiply(double_divide(X3,X2),multiply(double_divide(inverse(X1),double_divide(X2,double_divide(X1,X0))),X0)) = double_divide(X3,identity),
inference(forward_demodulation,[status(thm)],[f520,f2113]) ).
fof(f2115,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(double_divide(inverse(X2),double_divide(X1,double_divide(X2,X3))),X3)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f8,f2114]) ).
fof(f2118,plain,
! [X0,X1,X2] : inverse(inverse(X0)) = multiply(identity,multiply(double_divide(inverse(X1),double_divide(X0,double_divide(X1,X2))),X2)),
inference(paramodulation,[status(thm)],[f1662,f2115]) ).
fof(f2154,plain,
! [X0,X1,X2] : X0 = multiply(identity,multiply(double_divide(inverse(X1),double_divide(X0,double_divide(X1,X2))),X2)),
inference(forward_demodulation,[status(thm)],[f1664,f2118]) ).
fof(f2155,plain,
! [X0,X1,X2] : X0 = multiply(double_divide(inverse(X1),double_divide(X0,double_divide(X1,X2))),X2),
inference(forward_demodulation,[status(thm)],[f1601,f2154]) ).
fof(f2199,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,double_divide(X1,double_divide(identity,X0)))) = double_divide(double_divide(identity,double_divide(inverse(identity),X1)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f520,f453]) ).
fof(f2200,plain,
! [X0,X1] : double_divide(X0,inverse(double_divide(X1,double_divide(identity,X0)))) = double_divide(double_divide(identity,double_divide(inverse(identity),X1)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f1655,f2199]) ).
fof(f2201,plain,
! [X0,X1] : double_divide(X0,multiply(double_divide(identity,X0),X1)) = double_divide(double_divide(identity,double_divide(inverse(identity),X1)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f14,f2200]) ).
fof(f2202,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X0),X1)) = double_divide(double_divide(identity,double_divide(inverse(identity),X1)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f1655,f2201]) ).
fof(f2203,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X0),X1)) = double_divide(inverse(double_divide(inverse(identity),X1)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f1655,f2202]) ).
fof(f2204,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X0),X1)) = double_divide(multiply(X1,inverse(identity)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f14,f2203]) ).
fof(f2205,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X0),X1)) = double_divide(multiply(X1,identity),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f520,f2204]) ).
fof(f2206,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X0),X1)) = double_divide(X1,inverse(identity)),
inference(forward_demodulation,[status(thm)],[f1739,f2205]) ).
fof(f2207,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X0),X1)) = double_divide(X1,identity),
inference(forward_demodulation,[status(thm)],[f520,f2206]) ).
fof(f2208,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X0),X1)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f8,f2207]) ).
fof(f2211,plain,
! [X0,X1] : inverse(double_divide(inverse(X0),X1)) = double_divide(X0,inverse(X1)),
inference(paramodulation,[status(thm)],[f1937,f2208]) ).
fof(f2215,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f1664,f2208]) ).
fof(f2232,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(X1,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f14,f2211]) ).
fof(f2320,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(inverse(X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(double_divide(identity,double_divide(inverse(identity),X2)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f1655,f455]) ).
fof(f2321,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(inverse(X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(inverse(double_divide(inverse(identity),X2)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f1655,f2320]) ).
fof(f2322,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(inverse(X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(multiply(X2,inverse(identity)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f14,f2321]) ).
fof(f2323,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(inverse(X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(multiply(X2,identity),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f520,f2322]) ).
fof(f2324,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(inverse(X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(X2,inverse(identity)),
inference(forward_demodulation,[status(thm)],[f1739,f2323]) ).
fof(f2325,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(inverse(X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(X2,identity),
inference(forward_demodulation,[status(thm)],[f520,f2324]) ).
fof(f2326,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(inverse(X1),double_divide(X2,double_divide(X1,X0)))) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f8,f2325]) ).
fof(f2335,plain,
! [X0,X1] : inverse(inverse(double_divide(X0,X1))) = double_divide(X1,double_divide(inverse(X0),identity)),
inference(paramodulation,[status(thm)],[f1662,f2326]) ).
fof(f2377,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,double_divide(inverse(X0),identity)),
inference(forward_demodulation,[status(thm)],[f1664,f2335]) ).
fof(f2378,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f8,f2377]) ).
fof(f2379,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f1664,f2378]) ).
fof(f2432,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f2379,f26]) ).
fof(f2433,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f2379,f14]) ).
fof(f2587,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f14,f2433]) ).
fof(f2621,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f2587,f10]) ).
fof(f2781,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(X1)) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f1664,f2232]) ).
fof(f2818,plain,
! [X0,X1] : inverse(double_divide(X0,X1)) = double_divide(inverse(X0),inverse(X1)),
inference(paramodulation,[status(thm)],[f1937,f2215]) ).
fof(f2842,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X0),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f2433,f2818]) ).
fof(f3102,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(multiply(X0,X1),identity),
inference(paramodulation,[status(thm)],[f2432,f1856]) ).
fof(f3135,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f8,f3102]) ).
fof(f3331,plain,
! [X0,X1] : multiply(inverse(X0),X1) = double_divide(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f1664,f2781]) ).
fof(f3834,plain,
! [X0,X1,X2] : X0 = multiply(X1,double_divide(inverse(X2),double_divide(X0,double_divide(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f2587,f2155]) ).
fof(f3853,plain,
! [X0,X1,X2] : X0 = multiply(inverse(X1),double_divide(inverse(inverse(X2)),double_divide(X0,multiply(X2,X1)))),
inference(paramodulation,[status(thm)],[f2842,f3834]) ).
fof(f3900,plain,
! [X0,X2,X1] : X0 = double_divide(inverse(double_divide(inverse(inverse(X2)),double_divide(X0,multiply(X2,X1)))),X1),
inference(forward_demodulation,[status(thm)],[f3331,f3853]) ).
fof(f3901,plain,
! [X0,X2,X1] : X0 = double_divide(multiply(inverse(inverse(X2)),double_divide(X0,multiply(X2,X1))),X1),
inference(forward_demodulation,[status(thm)],[f2433,f3900]) ).
fof(f3902,plain,
! [X0,X2,X1] : X0 = double_divide(double_divide(inverse(double_divide(X0,multiply(X2,X1))),inverse(X2)),X1),
inference(forward_demodulation,[status(thm)],[f3331,f3901]) ).
fof(f3903,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(double_divide(X0,multiply(X1,X2)),X1),X2),
inference(forward_demodulation,[status(thm)],[f2842,f3902]) ).
fof(f3951,plain,
! [X0,X2,X1] : X0 = double_divide(X2,multiply(double_divide(X0,multiply(X1,X2)),X1)),
inference(forward_demodulation,[status(thm)],[f2379,f3903]) ).
fof(f3952,plain,
! [X0,X1,X2] : X0 = double_divide(X1,multiply(X2,double_divide(X0,multiply(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f2587,f3951]) ).
fof(f3990,plain,
! [X0,X1,X2] : inverse(multiply(X0,double_divide(X1,multiply(X0,X2)))) = multiply(X2,X1),
inference(paramodulation,[status(thm)],[f3952,f1937]) ).
fof(f4026,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(X1,multiply(X0,X2))) = multiply(X2,X1),
inference(forward_demodulation,[status(thm)],[f3135,f3990]) ).
fof(f4519,plain,
! [X0,X1,X2] : inverse(double_divide(X0,multiply(X1,X2))) = multiply(X1,multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f4026,f1937]) ).
fof(f4546,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[status(thm)],[f2433,f4519]) ).
fof(f4547,plain,
$false,
inference(resolution,[status(thm)],[f4546,f2621]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP583-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 00:45:44 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 0.20/0.53 % Refutation found
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.55 % Elapsed time: 0.204819 seconds
% 0.20/0.55 % CPU time: 1.566466 seconds
% 0.20/0.55 % Total memory used: 42.381 MB
% 0.20/0.55 % Net memory used: 37.362 MB
%------------------------------------------------------------------------------