TSTP Solution File: GRP489-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP489-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:20:46 EDT 2024
% Result : Unsatisfiable 0.15s 0.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 5
% Syntax : Number of formulae : 148 ( 148 unt; 0 def)
% Number of atoms : 148 ( 147 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 : 8 ( 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 : 315 ( 315 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),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,X2] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))))) = X2,
inference(backward_demodulation,[status(thm)],[f7,f6]) ).
fof(f12,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),double_divide(X1,X2))))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f11]) ).
fof(f13,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f14,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f13]) ).
fof(f15,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f13]) ).
fof(f16,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f9]) ).
fof(f17,plain,
! [X0,X1] : multiply(multiply(X0,X1),double_divide(X1,X0)) = inverse(identity),
inference(paramodulation,[status(thm)],[f13,f14]) ).
fof(f18,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f15,f15]) ).
fof(f19,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f15]) ).
fof(f66,plain,
! [X0,X1] : double_divide(X0,inverse(multiply(double_divide(inverse(X0),double_divide(identity,X1)),identity))) = X1,
inference(paramodulation,[status(thm)],[f19,f12]) ).
fof(f79,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),X2)))) = multiply(X3,double_divide(identity,double_divide(inverse(X1),double_divide(X3,X2)))),
inference(paramodulation,[status(thm)],[f12,f12]) ).
fof(f80,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),identity)))) = inverse(X1),
inference(paramodulation,[status(thm)],[f9,f12]) ).
fof(f81,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,inverse(inverse(X0))))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f8,f80]) ).
fof(f82,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,multiply(identity,X0)))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f15,f81]) ).
fof(f86,plain,
! [X0,X1,X2] : multiply(multiply(X0,double_divide(identity,double_divide(inverse(X1),double_divide(X0,X2)))),X1) = inverse(X2),
inference(paramodulation,[status(thm)],[f12,f13]) ).
fof(f249,plain,
! [X0] : double_divide(X0,inverse(identity)) = inverse(multiply(multiply(identity,X0),identity)),
inference(paramodulation,[status(thm)],[f17,f82]) ).
fof(f250,plain,
! [X0] : double_divide(X0,inverse(multiply(multiply(identity,X0),identity))) = inverse(identity),
inference(paramodulation,[status(thm)],[f19,f82]) ).
fof(f251,plain,
! [X0] : double_divide(X0,double_divide(X0,inverse(identity))) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f249,f250]) ).
fof(f255,plain,
! [X0] : double_divide(double_divide(identity,multiply(identity,identity)),multiply(X0,inverse(identity))) = inverse(X0),
inference(paramodulation,[status(thm)],[f82,f82]) ).
fof(f261,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),inverse(X2))))) = multiply(X2,double_divide(identity,multiply(identity,X1))),
inference(paramodulation,[status(thm)],[f82,f12]) ).
fof(f322,plain,
! [X0,X1,X2] : multiply(X0,double_divide(identity,double_divide(inverse(X1),double_divide(X0,X2)))) = double_divide(identity,multiply(X1,double_divide(identity,double_divide(inverse(identity),X2)))),
inference(equality_split,[status(esa)],[f79]) ).
fof(f324,plain,
! [X0,X1] : inverse(multiply(double_divide(inverse(X0),double_divide(identity,X1)),identity)) = double_divide(identity,multiply(X0,double_divide(identity,double_divide(inverse(identity),X1)))),
inference(paramodulation,[status(thm)],[f19,f322]) ).
fof(f334,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(identity,double_divide(multiply(X1,X2),double_divide(X0,X3)))) = double_divide(identity,multiply(double_divide(X2,X1),double_divide(identity,double_divide(inverse(identity),X3)))),
inference(paramodulation,[status(thm)],[f13,f322]) ).
fof(f335,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(identity,double_divide(multiply(X1,X2),double_divide(X0,X3)))) = inverse(multiply(double_divide(inverse(double_divide(X2,X1)),double_divide(identity,X3)),identity)),
inference(forward_demodulation,[status(thm)],[f324,f334]) ).
fof(f336,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(identity,double_divide(multiply(X1,X2),double_divide(X0,X3)))) = inverse(multiply(double_divide(multiply(X1,X2),double_divide(identity,X3)),identity)),
inference(forward_demodulation,[status(thm)],[f13,f335]) ).
fof(f356,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),double_divide(identity,double_divide(inverse(X2),identity))) = double_divide(identity,multiply(X2,double_divide(identity,double_divide(inverse(identity),multiply(X1,X0))))),
inference(paramodulation,[status(thm)],[f16,f322]) ).
fof(f357,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),double_divide(identity,inverse(inverse(X2)))) = double_divide(identity,multiply(X2,double_divide(identity,double_divide(inverse(identity),multiply(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f8,f356]) ).
fof(f358,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),double_divide(identity,multiply(identity,X2))) = double_divide(identity,multiply(X2,double_divide(identity,double_divide(inverse(identity),multiply(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f15,f357]) ).
fof(f359,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),double_divide(identity,multiply(identity,X2))) = inverse(multiply(double_divide(inverse(X2),double_divide(identity,multiply(X1,X0))),identity)),
inference(forward_demodulation,[status(thm)],[f324,f358]) ).
fof(f365,plain,
! [X0,X1,X2] : multiply(X0,double_divide(identity,double_divide(inverse(X1),inverse(X2)))) = double_divide(identity,multiply(X1,double_divide(identity,double_divide(inverse(identity),multiply(X2,double_divide(identity,multiply(identity,X0))))))),
inference(paramodulation,[status(thm)],[f82,f322]) ).
fof(f366,plain,
! [X0,X1,X2] : multiply(X0,double_divide(identity,double_divide(inverse(X1),inverse(X2)))) = inverse(multiply(double_divide(inverse(X1),double_divide(identity,multiply(X2,double_divide(identity,multiply(identity,X0))))),identity)),
inference(forward_demodulation,[status(thm)],[f324,f365]) ).
fof(f367,plain,
! [X0,X1,X2] : multiply(X0,double_divide(identity,double_divide(inverse(X1),inverse(X2)))) = multiply(double_divide(double_divide(identity,multiply(identity,X0)),X2),double_divide(identity,multiply(identity,X1))),
inference(forward_demodulation,[status(thm)],[f359,f366]) ).
fof(f371,plain,
! [X0,X1] : multiply(X0,double_divide(identity,double_divide(inverse(X1),identity))) = double_divide(identity,multiply(X1,double_divide(identity,double_divide(inverse(identity),inverse(X0))))),
inference(paramodulation,[status(thm)],[f9,f322]) ).
fof(f372,plain,
! [X0,X1] : multiply(X0,double_divide(identity,inverse(inverse(X1)))) = double_divide(identity,multiply(X1,double_divide(identity,double_divide(inverse(identity),inverse(X0))))),
inference(forward_demodulation,[status(thm)],[f8,f371]) ).
fof(f373,plain,
! [X0,X1] : multiply(X0,double_divide(identity,multiply(identity,X1))) = double_divide(identity,multiply(X1,double_divide(identity,double_divide(inverse(identity),inverse(X0))))),
inference(forward_demodulation,[status(thm)],[f15,f372]) ).
fof(f374,plain,
! [X0,X1] : multiply(X0,double_divide(identity,multiply(identity,X1))) = inverse(multiply(double_divide(inverse(X1),double_divide(identity,inverse(X0))),identity)),
inference(forward_demodulation,[status(thm)],[f324,f373]) ).
fof(f490,plain,
! [X0] : multiply(multiply(X0,inverse(identity)),double_divide(identity,multiply(identity,identity))) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f255,f13]) ).
fof(f491,plain,
! [X0] : multiply(multiply(X0,inverse(identity)),double_divide(identity,multiply(identity,identity))) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f15,f490]) ).
fof(f496,plain,
! [X0] : double_divide(X0,multiply(inverse(X0),double_divide(identity,inverse(identity)))) = inverse(identity),
inference(paramodulation,[status(thm)],[f251,f12]) ).
fof(f497,plain,
! [X0] : double_divide(X0,multiply(inverse(X0),identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f9,f496]) ).
fof(f509,plain,
double_divide(identity,inverse(identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f14,f497]) ).
fof(f510,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f9,f509]) ).
fof(f524,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),inverse(identity))))) = multiply(inverse(X1),identity),
inference(paramodulation,[status(thm)],[f497,f12]) ).
fof(f525,plain,
! [X0] : multiply(identity,double_divide(identity,multiply(identity,X0))) = multiply(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f261,f524]) ).
fof(f526,plain,
! [X0] : inverse(multiply(multiply(identity,X0),identity)) = multiply(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f19,f525]) ).
fof(f527,plain,
! [X0] : double_divide(X0,inverse(identity)) = multiply(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f249,f526]) ).
fof(f528,plain,
! [X0] : double_divide(X0,identity) = multiply(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f510,f527]) ).
fof(f529,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f8,f528]) ).
fof(f538,plain,
! [X0] : multiply(multiply(inverse(X0),identity),X0) = inverse(inverse(identity)),
inference(paramodulation,[status(thm)],[f497,f13]) ).
fof(f539,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(inverse(identity)),
inference(forward_demodulation,[status(thm)],[f529,f538]) ).
fof(f540,plain,
inverse(identity) = inverse(inverse(identity)),
inference(forward_demodulation,[status(thm)],[f14,f539]) ).
fof(f541,plain,
identity = inverse(inverse(identity)),
inference(forward_demodulation,[status(thm)],[f510,f540]) ).
fof(f542,plain,
identity = multiply(identity,identity),
inference(forward_demodulation,[status(thm)],[f15,f541]) ).
fof(f547,plain,
! [X0] : double_divide(double_divide(identity,multiply(identity,identity)),multiply(X0,identity)) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f510,f255]) ).
fof(f548,plain,
! [X0] : double_divide(double_divide(identity,identity),multiply(X0,identity)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f542,f547]) ).
fof(f549,plain,
! [X0] : double_divide(inverse(identity),multiply(X0,identity)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f8,f548]) ).
fof(f550,plain,
! [X0] : double_divide(identity,multiply(X0,identity)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f510,f549]) ).
fof(f575,plain,
! [X0] : multiply(multiply(X0,identity),double_divide(identity,multiply(identity,identity))) = multiply(identity,X0),
inference(backward_demodulation,[status(thm)],[f510,f491]) ).
fof(f576,plain,
! [X0] : multiply(multiply(X0,identity),inverse(identity)) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f550,f575]) ).
fof(f577,plain,
! [X0] : multiply(multiply(X0,identity),identity) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f510,f576]) ).
fof(f598,plain,
! [X0,X1] : inverse(multiply(double_divide(inverse(X0),double_divide(identity,X1)),identity)) = double_divide(identity,multiply(X0,double_divide(identity,double_divide(identity,X1)))),
inference(backward_demodulation,[status(thm)],[f510,f324]) ).
fof(f623,plain,
! [X0,X1] : multiply(X0,double_divide(identity,multiply(identity,X1))) = double_divide(identity,multiply(X1,double_divide(identity,double_divide(identity,inverse(X0))))),
inference(backward_demodulation,[status(thm)],[f598,f374]) ).
fof(f627,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,multiply(X0,double_divide(identity,double_divide(identity,X1))))) = X1,
inference(backward_demodulation,[status(thm)],[f598,f66]) ).
fof(f637,plain,
! [X0,X1] : double_divide(identity,multiply(X0,double_divide(identity,double_divide(identity,double_divide(X0,X1))))) = X1,
inference(paramodulation,[status(thm)],[f510,f12]) ).
fof(f649,plain,
! [X0,X1] : multiply(multiply(X0,double_divide(identity,double_divide(identity,double_divide(X0,X1)))),identity) = inverse(X1),
inference(paramodulation,[status(thm)],[f510,f86]) ).
fof(f650,plain,
! [X0,X1,X2] : multiply(multiply(X0,double_divide(identity,double_divide(multiply(identity,inverse(X1)),double_divide(X0,X2)))),multiply(identity,X1)) = inverse(X2),
inference(paramodulation,[status(thm)],[f18,f86]) ).
fof(f651,plain,
! [X0,X1] : multiply(inverse(multiply(double_divide(multiply(identity,inverse(X0)),double_divide(identity,X1)),identity)),multiply(identity,X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f336,f650]) ).
fof(f681,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,double_divide(identity,double_divide(inverse(X1),X2))),X1) = inverse(multiply(X3,double_divide(identity,double_divide(inverse(X0),double_divide(X3,X2))))),
inference(paramodulation,[status(thm)],[f12,f86]) ).
fof(f724,plain,
! [X0,X1] : inverse(double_divide(X0,X1)) = multiply(multiply(X1,X0),identity),
inference(paramodulation,[status(thm)],[f13,f529]) ).
fof(f725,plain,
! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,X1),identity),
inference(forward_demodulation,[status(thm)],[f13,f724]) ).
fof(f734,plain,
! [X0] : multiply(X0,identity) = multiply(identity,X0),
inference(backward_demodulation,[status(thm)],[f725,f577]) ).
fof(f735,plain,
! [X0,X1] : multiply(X0,double_divide(identity,double_divide(identity,double_divide(X0,X1)))) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f725,f649]) ).
fof(f739,plain,
! [X0] : double_divide(identity,inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f735,f637]) ).
fof(f742,plain,
! [X0,X1] : multiply(X0,double_divide(identity,multiply(identity,X1))) = double_divide(identity,multiply(X1,double_divide(identity,X0))),
inference(backward_demodulation,[status(thm)],[f739,f623]) ).
fof(f743,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,multiply(X0,double_divide(identity,X1)))) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f742,f82]) ).
fof(f745,plain,
! [X0,X1,X2] : multiply(X0,double_divide(identity,double_divide(inverse(X1),inverse(X2)))) = double_divide(identity,multiply(X1,double_divide(identity,double_divide(double_divide(identity,multiply(identity,X0)),X2)))),
inference(backward_demodulation,[status(thm)],[f742,f367]) ).
fof(f763,plain,
! [X0] : inverse(double_divide(identity,X0)) = X0,
inference(backward_demodulation,[status(thm)],[f743,f627]) ).
fof(f764,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f13,f763]) ).
fof(f769,plain,
! [X0,X1] : multiply(inverse(double_divide(multiply(identity,inverse(X0)),double_divide(identity,X1))),multiply(identity,X0)) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f764,f651]) ).
fof(f770,plain,
! [X0,X1] : multiply(multiply(double_divide(identity,X0),multiply(identity,inverse(X1))),multiply(identity,X1)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f13,f769]) ).
fof(f792,plain,
! [X0] : X0 = multiply(identity,X0),
inference(backward_demodulation,[status(thm)],[f764,f734]) ).
fof(f793,plain,
! [X0] : double_divide(identity,X0) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f764,f550]) ).
fof(f808,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f792,f19]) ).
fof(f822,plain,
! [X0,X1] : multiply(multiply(double_divide(identity,X0),inverse(X1)),multiply(identity,X1)) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f792,f770]) ).
fof(f823,plain,
! [X0,X1] : multiply(multiply(inverse(X0),inverse(X1)),multiply(identity,X1)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f793,f822]) ).
fof(f824,plain,
! [X0,X1] : multiply(multiply(inverse(X0),inverse(X1)),X1) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f792,f823]) ).
fof(f834,plain,
! [X0,X1,X2] : multiply(X0,double_divide(identity,double_divide(inverse(X1),inverse(X2)))) = double_divide(identity,multiply(X1,double_divide(identity,double_divide(double_divide(identity,X0),X2)))),
inference(backward_demodulation,[status(thm)],[f792,f745]) ).
fof(f835,plain,
! [X0,X1,X2] : multiply(X0,inverse(double_divide(inverse(X1),inverse(X2)))) = double_divide(identity,multiply(X1,double_divide(identity,double_divide(double_divide(identity,X0),X2)))),
inference(forward_demodulation,[status(thm)],[f793,f834]) ).
fof(f836,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X1),inverse(X2))) = double_divide(identity,multiply(X2,double_divide(identity,double_divide(double_divide(identity,X0),X1)))),
inference(forward_demodulation,[status(thm)],[f13,f835]) ).
fof(f837,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X1),inverse(X2))) = inverse(multiply(X2,double_divide(identity,double_divide(double_divide(identity,X0),X1)))),
inference(forward_demodulation,[status(thm)],[f793,f836]) ).
fof(f838,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X1),inverse(X2))) = double_divide(double_divide(identity,double_divide(double_divide(identity,X0),X1)),X2),
inference(forward_demodulation,[status(thm)],[f808,f837]) ).
fof(f839,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X1),inverse(X2))) = double_divide(inverse(double_divide(double_divide(identity,X0),X1)),X2),
inference(forward_demodulation,[status(thm)],[f793,f838]) ).
fof(f840,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X1),inverse(X2))) = double_divide(multiply(X1,double_divide(identity,X0)),X2),
inference(forward_demodulation,[status(thm)],[f13,f839]) ).
fof(f841,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X1),inverse(X2))) = double_divide(multiply(X1,inverse(X0)),X2),
inference(forward_demodulation,[status(thm)],[f793,f840]) ).
fof(f842,plain,
! [X0,X1] : multiply(X0,double_divide(identity,X1)) = double_divide(identity,multiply(X1,double_divide(identity,X0))),
inference(backward_demodulation,[status(thm)],[f792,f742]) ).
fof(f843,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(identity,multiply(X1,double_divide(identity,X0))),
inference(forward_demodulation,[status(thm)],[f793,f842]) ).
fof(f844,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = inverse(multiply(X1,double_divide(identity,X0))),
inference(forward_demodulation,[status(thm)],[f793,f843]) ).
fof(f845,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(double_divide(identity,X0),X1),
inference(forward_demodulation,[status(thm)],[f808,f844]) ).
fof(f846,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(forward_demodulation,[status(thm)],[f793,f845]) ).
fof(f850,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,inverse(double_divide(inverse(X0),double_divide(X1,X2))))) = X2,
inference(backward_demodulation,[status(thm)],[f793,f12]) ).
fof(f851,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(inverse(X1),double_divide(inverse(X0),double_divide(X1,X2)))) = X2,
inference(forward_demodulation,[status(thm)],[f846,f850]) ).
fof(f891,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,double_divide(identity,double_divide(inverse(X1),X2))),X1) = inverse(multiply(X3,inverse(double_divide(inverse(X0),double_divide(X3,X2))))),
inference(backward_demodulation,[status(thm)],[f793,f681]) ).
fof(f892,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(double_divide(inverse(X1),X2))),X1) = inverse(multiply(X3,inverse(double_divide(inverse(X0),double_divide(X3,X2))))),
inference(forward_demodulation,[status(thm)],[f793,f891]) ).
fof(f893,plain,
! [X0,X1,X2,X3] : multiply(double_divide(inverse(X0),double_divide(inverse(X1),X2)),X1) = inverse(multiply(X3,inverse(double_divide(inverse(X0),double_divide(X3,X2))))),
inference(forward_demodulation,[status(thm)],[f846,f892]) ).
fof(f894,plain,
! [X0,X1,X2,X3] : multiply(double_divide(inverse(X0),double_divide(inverse(X1),X2)),X1) = double_divide(inverse(double_divide(inverse(X0),double_divide(X3,X2))),X3),
inference(forward_demodulation,[status(thm)],[f808,f893]) ).
fof(f895,plain,
! [X0,X1,X2,X3] : multiply(double_divide(inverse(X0),double_divide(inverse(X1),X2)),X1) = double_divide(multiply(double_divide(X3,X2),inverse(X0)),X3),
inference(forward_demodulation,[status(thm)],[f13,f894]) ).
fof(f896,plain,
! [X0,X1,X2,X3] : multiply(double_divide(inverse(X0),double_divide(inverse(X1),X2)),X1) = double_divide(double_divide(inverse(double_divide(X3,X2)),X0),X3),
inference(forward_demodulation,[status(thm)],[f846,f895]) ).
fof(f897,plain,
! [X0,X1,X2,X3] : multiply(double_divide(inverse(X0),double_divide(inverse(X1),X2)),X1) = double_divide(double_divide(multiply(X2,X3),X0),X3),
inference(forward_demodulation,[status(thm)],[f13,f896]) ).
fof(f908,plain,
! [X0,X1,X2] : multiply(X0,double_divide(inverse(inverse(X1)),X2)) = double_divide(multiply(X1,inverse(X0)),X2),
inference(backward_demodulation,[status(thm)],[f846,f841]) ).
fof(f909,plain,
! [X0,X1,X2] : multiply(X0,double_divide(multiply(identity,X1),X2)) = double_divide(multiply(X1,inverse(X0)),X2),
inference(forward_demodulation,[status(thm)],[f15,f908]) ).
fof(f910,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,X2)) = double_divide(multiply(X1,inverse(X0)),X2),
inference(forward_demodulation,[status(thm)],[f792,f909]) ).
fof(f911,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,X2)) = double_divide(double_divide(inverse(X1),X0),X2),
inference(forward_demodulation,[status(thm)],[f846,f910]) ).
fof(f912,plain,
! [X0,X1] : multiply(double_divide(inverse(inverse(X0)),X1),X1) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f846,f824]) ).
fof(f913,plain,
! [X0,X1] : multiply(double_divide(multiply(identity,X0),X1),X1) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f15,f912]) ).
fof(f914,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f792,f913]) ).
fof(f941,plain,
! [X0,X1] : inverse(double_divide(inverse(X0),double_divide(inverse(identity),double_divide(X0,X1)))) = X1,
inference(paramodulation,[status(thm)],[f793,f851]) ).
fof(f942,plain,
! [X0,X1] : multiply(double_divide(inverse(identity),double_divide(X0,X1)),inverse(X0)) = X1,
inference(forward_demodulation,[status(thm)],[f13,f941]) ).
fof(f943,plain,
! [X0,X1] : double_divide(inverse(double_divide(inverse(identity),double_divide(X0,X1))),X0) = X1,
inference(forward_demodulation,[status(thm)],[f846,f942]) ).
fof(f944,plain,
! [X0,X1] : double_divide(multiply(double_divide(X0,X1),inverse(identity)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f13,f943]) ).
fof(f945,plain,
! [X0,X1] : double_divide(double_divide(inverse(double_divide(X0,X1)),identity),X0) = X1,
inference(forward_demodulation,[status(thm)],[f846,f944]) ).
fof(f946,plain,
! [X0,X1] : multiply(identity,double_divide(double_divide(X0,X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f911,f945]) ).
fof(f947,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f792,f946]) ).
fof(f974,plain,
! [X0,X1,X2,X3] : double_divide(X0,double_divide(inverse(X1),double_divide(inverse(X0),X2))) = double_divide(inverse(X3),double_divide(inverse(X1),double_divide(X3,X2))),
inference(paramodulation,[status(thm)],[f851,f851]) ).
fof(f1024,plain,
! [X0,X1,X2] : double_divide(X0,X1) = double_divide(inverse(X2),double_divide(inverse(X1),double_divide(X2,X0))),
inference(paramodulation,[status(thm)],[f851,f947]) ).
fof(f1035,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(inverse(X1),double_divide(inverse(X0),X2))) = double_divide(X2,X1),
inference(backward_demodulation,[status(thm)],[f1024,f974]) ).
fof(f1204,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = double_divide(inverse(X0),double_divide(X2,X1)),
inference(paramodulation,[status(thm)],[f13,f846]) ).
fof(f1224,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,multiply(X2,inverse(X0)))) = double_divide(X2,X1),
inference(backward_demodulation,[status(thm)],[f1204,f1035]) ).
fof(f1225,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(inverse(X2),X0))) = double_divide(X2,X1),
inference(forward_demodulation,[status(thm)],[f846,f1224]) ).
fof(f1230,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,multiply(X1,inverse(X2))),X2) = double_divide(double_divide(multiply(X1,X3),X0),X3),
inference(backward_demodulation,[status(thm)],[f1204,f897]) ).
fof(f1231,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,double_divide(inverse(X1),X2)),X2) = double_divide(double_divide(multiply(X1,X3),X0),X3),
inference(forward_demodulation,[status(thm)],[f846,f1230]) ).
fof(f1308,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),X2) = multiply(X1,double_divide(inverse(X0),X2)),
inference(paramodulation,[status(thm)],[f1225,f947]) ).
fof(f1324,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,X1),X2),X2) = double_divide(double_divide(multiply(X0,X3),X1),X3),
inference(backward_demodulation,[status(thm)],[f1308,f1231]) ).
fof(f1325,plain,
! [X0,X1,X2] : inverse(double_divide(X0,X1)) = double_divide(double_divide(multiply(X0,X2),X1),X2),
inference(forward_demodulation,[status(thm)],[f914,f1324]) ).
fof(f1326,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(double_divide(multiply(X1,X2),X0),X2),
inference(forward_demodulation,[status(thm)],[f13,f1325]) ).
fof(f1571,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = inverse(double_divide(multiply(X1,X2),X0)),
inference(paramodulation,[status(thm)],[f1326,f914]) ).
fof(f1572,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f13,f1571]) ).
fof(f1587,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f1572,f10]) ).
fof(f1588,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1587]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP489-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n016.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.15/0.30 % WCLimit : 300
% 0.15/0.30 % DateTime : Tue Apr 30 01:09:10 EDT 2024
% 0.15/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.6.0
% 0.15/0.42 % Refutation found
% 0.15/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.45 % Elapsed time: 0.129134 seconds
% 0.15/0.45 % CPU time: 0.933463 seconds
% 0.15/0.45 % Total memory used: 39.776 MB
% 0.15/0.45 % Net memory used: 37.481 MB
%------------------------------------------------------------------------------