TSTP Solution File: COM022+4 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : COM022+4 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 05:49:22 EST 2010
% Result : Theorem 0.45s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 3
% Syntax : Number of formulae : 48 ( 10 unt; 0 def)
% Number of atoms : 1046 ( 145 equ)
% Maximal formula atoms : 158 ( 21 avg)
% Number of connectives : 1307 ( 309 ~; 455 |; 533 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 53 ( 10 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 17 con; 0-0 aty)
% Number of variables : 116 ( 0 sgn 30 !; 83 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
( ( ( ( aReductOfIn0(xb,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xb) )
| sdtmndtplgtdt0(xa,xR,xb) )
& ( aReductOfIn0(xc,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xc) )
| sdtmndtplgtdt0(xa,xR,xc) ) )
=> ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& ( X1 = xb
| ( ( aReductOfIn0(xb,X1,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,X1,xR)
& sdtmndtplgtdt0(X2,xR,xb) ) )
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtasgtdt0(X1,xR,xb)
& ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xa,xR)
& ( X2 = xc
| ( ( aReductOfIn0(xc,X2,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X2,xR)
& sdtmndtplgtdt0(X3,xR,xc) ) )
& sdtmndtplgtdt0(X2,xR,xc) ) )
& sdtmndtasgtdt0(X2,xR,xc)
& ? [X3] :
( aElement0(X3)
& ( X1 = X3
| ( ( aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X1,xR,X3) ) )
& sdtmndtasgtdt0(X1,xR,X3)
& ( X2 = X3
| ( ( aReductOfIn0(X3,X2,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X2,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X2,xR,X3) ) )
& sdtmndtasgtdt0(X2,xR,X3)
& ? [X4] :
( aElement0(X4)
& ( X3 = X4
| ( ( aReductOfIn0(X4,X3,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X3,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X3,xR,X4) ) )
& sdtmndtasgtdt0(X3,xR,X4)
& ~ ? [X5] : aReductOfIn0(X5,X4,xR)
& aNormalFormOfIn0(X4,X3,xR)
& ( xb = X4
| ( ( aReductOfIn0(X4,xb,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xb,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xb,xR,X4) ) )
& sdtmndtasgtdt0(xb,xR,X4)
& ( xc = X4
| ( ( aReductOfIn0(X4,xc,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xc,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xc,xR,X4) ) )
& sdtmndtasgtdt0(xc,xR,X4) ) ) ) ) )
=> ( ( ( xa = xb
| ( ( aReductOfIn0(xb,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtplgtdt0(xa,xR,xb) ) )
& sdtmndtasgtdt0(xa,xR,xb)
& ( xa = xc
| ( ( aReductOfIn0(xc,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xc) ) )
& sdtmndtplgtdt0(xa,xR,xc) ) )
& sdtmndtasgtdt0(xa,xR,xc) )
=> ? [X1] :
( aElement0(X1)
& ( xb = X1
| aReductOfIn0(X1,xb,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xb,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xb,xR,X1)
| sdtmndtasgtdt0(xb,xR,X1) )
& ( xc = X1
| aReductOfIn0(X1,xc,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xc,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xc,xR,X1)
| sdtmndtasgtdt0(xc,xR,X1) ) ) ) ),
file('/tmp/tmpUQkv4q/sel_COM022+4.p_1',m__) ).
fof(7,axiom,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/tmp/tmpUQkv4q/sel_COM022+4.p_1',m__731) ).
fof(20,negated_conjecture,
~ ( ( ( ( aReductOfIn0(xb,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xb) )
| sdtmndtplgtdt0(xa,xR,xb) )
& ( aReductOfIn0(xc,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xc) )
| sdtmndtplgtdt0(xa,xR,xc) ) )
=> ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& ( X1 = xb
| ( ( aReductOfIn0(xb,X1,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,X1,xR)
& sdtmndtplgtdt0(X2,xR,xb) ) )
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtasgtdt0(X1,xR,xb)
& ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xa,xR)
& ( X2 = xc
| ( ( aReductOfIn0(xc,X2,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X2,xR)
& sdtmndtplgtdt0(X3,xR,xc) ) )
& sdtmndtplgtdt0(X2,xR,xc) ) )
& sdtmndtasgtdt0(X2,xR,xc)
& ? [X3] :
( aElement0(X3)
& ( X1 = X3
| ( ( aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X1,xR,X3) ) )
& sdtmndtasgtdt0(X1,xR,X3)
& ( X2 = X3
| ( ( aReductOfIn0(X3,X2,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X2,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X2,xR,X3) ) )
& sdtmndtasgtdt0(X2,xR,X3)
& ? [X4] :
( aElement0(X4)
& ( X3 = X4
| ( ( aReductOfIn0(X4,X3,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X3,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X3,xR,X4) ) )
& sdtmndtasgtdt0(X3,xR,X4)
& ~ ? [X5] : aReductOfIn0(X5,X4,xR)
& aNormalFormOfIn0(X4,X3,xR)
& ( xb = X4
| ( ( aReductOfIn0(X4,xb,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xb,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xb,xR,X4) ) )
& sdtmndtasgtdt0(xb,xR,X4)
& ( xc = X4
| ( ( aReductOfIn0(X4,xc,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xc,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xc,xR,X4) ) )
& sdtmndtasgtdt0(xc,xR,X4) ) ) ) ) )
=> ( ( ( xa = xb
| ( ( aReductOfIn0(xb,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtplgtdt0(xa,xR,xb) ) )
& sdtmndtasgtdt0(xa,xR,xb)
& ( xa = xc
| ( ( aReductOfIn0(xc,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xc) ) )
& sdtmndtplgtdt0(xa,xR,xc) ) )
& sdtmndtasgtdt0(xa,xR,xc) )
=> ? [X1] :
( aElement0(X1)
& ( xb = X1
| aReductOfIn0(X1,xb,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xb,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xb,xR,X1)
| sdtmndtasgtdt0(xb,xR,X1) )
& ( xc = X1
| aReductOfIn0(X1,xc,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xc,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xc,xR,X1)
| sdtmndtasgtdt0(xc,xR,X1) ) ) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(21,plain,
( epred1_0
=> ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& ( X1 = xb
| ( ( aReductOfIn0(xb,X1,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,X1,xR)
& sdtmndtplgtdt0(X2,xR,xb) ) )
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtasgtdt0(X1,xR,xb)
& ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xa,xR)
& ( X2 = xc
| ( ( aReductOfIn0(xc,X2,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X2,xR)
& sdtmndtplgtdt0(X3,xR,xc) ) )
& sdtmndtplgtdt0(X2,xR,xc) ) )
& sdtmndtasgtdt0(X2,xR,xc)
& ? [X3] :
( aElement0(X3)
& ( X1 = X3
| ( ( aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X1,xR,X3) ) )
& sdtmndtasgtdt0(X1,xR,X3)
& ( X2 = X3
| ( ( aReductOfIn0(X3,X2,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X2,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X2,xR,X3) ) )
& sdtmndtasgtdt0(X2,xR,X3)
& ? [X4] :
( aElement0(X4)
& ( X3 = X4
| ( ( aReductOfIn0(X4,X3,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X3,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X3,xR,X4) ) )
& sdtmndtasgtdt0(X3,xR,X4)
& ~ ? [X5] : aReductOfIn0(X5,X4,xR)
& aNormalFormOfIn0(X4,X3,xR)
& ( xb = X4
| ( ( aReductOfIn0(X4,xb,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xb,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xb,xR,X4) ) )
& sdtmndtasgtdt0(xb,xR,X4)
& ( xc = X4
| ( ( aReductOfIn0(X4,xc,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xc,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xc,xR,X4) ) )
& sdtmndtasgtdt0(xc,xR,X4) ) ) ) ) ),
introduced(definition) ).
fof(22,negated_conjecture,
~ ( ( ( ( aReductOfIn0(xb,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xb) )
| sdtmndtplgtdt0(xa,xR,xb) )
& ( aReductOfIn0(xc,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xc) )
| sdtmndtplgtdt0(xa,xR,xc) ) )
=> epred1_0 )
=> ( ( ( xa = xb
| ( ( aReductOfIn0(xb,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtplgtdt0(xa,xR,xb) ) )
& sdtmndtasgtdt0(xa,xR,xb)
& ( xa = xc
| ( ( aReductOfIn0(xc,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xc) ) )
& sdtmndtplgtdt0(xa,xR,xc) ) )
& sdtmndtasgtdt0(xa,xR,xc) )
=> ? [X1] :
( aElement0(X1)
& ( xb = X1
| aReductOfIn0(X1,xb,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xb,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xb,xR,X1)
| sdtmndtasgtdt0(xb,xR,X1) )
& ( xc = X1
| aReductOfIn0(X1,xc,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xc,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xc,xR,X1)
| sdtmndtasgtdt0(xc,xR,X1) ) ) ) ),
inference(apply_def,[status(esa)],[20,21,theory(equality)]) ).
fof(23,negated_conjecture,
( ( ( ~ aReductOfIn0(xb,xa,xR)
& ! [X1] :
( ~ aElement0(X1)
| ~ aReductOfIn0(X1,xa,xR)
| ~ sdtmndtplgtdt0(X1,xR,xb) )
& ~ sdtmndtplgtdt0(xa,xR,xb) )
| ( ~ aReductOfIn0(xc,xa,xR)
& ! [X1] :
( ~ aElement0(X1)
| ~ aReductOfIn0(X1,xa,xR)
| ~ sdtmndtplgtdt0(X1,xR,xc) )
& ~ sdtmndtplgtdt0(xa,xR,xc) )
| epred1_0 )
& ( xa = xb
| ( ( aReductOfIn0(xb,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtplgtdt0(xa,xR,xb) ) )
& sdtmndtasgtdt0(xa,xR,xb)
& ( xa = xc
| ( ( aReductOfIn0(xc,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xc) ) )
& sdtmndtplgtdt0(xa,xR,xc) ) )
& sdtmndtasgtdt0(xa,xR,xc)
& ! [X1] :
( ~ aElement0(X1)
| ( xb != X1
& ~ aReductOfIn0(X1,xb,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ aReductOfIn0(X2,xb,xR)
| ~ sdtmndtplgtdt0(X2,xR,X1) )
& ~ sdtmndtplgtdt0(xb,xR,X1)
& ~ sdtmndtasgtdt0(xb,xR,X1) )
| ( xc != X1
& ~ aReductOfIn0(X1,xc,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ aReductOfIn0(X2,xc,xR)
| ~ sdtmndtplgtdt0(X2,xR,X1) )
& ~ sdtmndtplgtdt0(xc,xR,X1)
& ~ sdtmndtasgtdt0(xc,xR,X1) ) ) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(24,negated_conjecture,
( ( ( ~ aReductOfIn0(xb,xa,xR)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,xa,xR)
| ~ sdtmndtplgtdt0(X3,xR,xb) )
& ~ sdtmndtplgtdt0(xa,xR,xb) )
| ( ~ aReductOfIn0(xc,xa,xR)
& ! [X4] :
( ~ aElement0(X4)
| ~ aReductOfIn0(X4,xa,xR)
| ~ sdtmndtplgtdt0(X4,xR,xc) )
& ~ sdtmndtplgtdt0(xa,xR,xc) )
| epred1_0 )
& ( xa = xb
| ( ( aReductOfIn0(xb,xa,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xa,xR)
& sdtmndtplgtdt0(X5,xR,xb) ) )
& sdtmndtplgtdt0(xa,xR,xb) ) )
& sdtmndtasgtdt0(xa,xR,xb)
& ( xa = xc
| ( ( aReductOfIn0(xc,xa,xR)
| ? [X6] :
( aElement0(X6)
& aReductOfIn0(X6,xa,xR)
& sdtmndtplgtdt0(X6,xR,xc) ) )
& sdtmndtplgtdt0(xa,xR,xc) ) )
& sdtmndtasgtdt0(xa,xR,xc)
& ! [X7] :
( ~ aElement0(X7)
| ( xb != X7
& ~ aReductOfIn0(X7,xb,xR)
& ! [X8] :
( ~ aElement0(X8)
| ~ aReductOfIn0(X8,xb,xR)
| ~ sdtmndtplgtdt0(X8,xR,X7) )
& ~ sdtmndtplgtdt0(xb,xR,X7)
& ~ sdtmndtasgtdt0(xb,xR,X7) )
| ( xc != X7
& ~ aReductOfIn0(X7,xc,xR)
& ! [X9] :
( ~ aElement0(X9)
| ~ aReductOfIn0(X9,xc,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7) )
& ~ sdtmndtplgtdt0(xc,xR,X7)
& ~ sdtmndtasgtdt0(xc,xR,X7) ) ) ),
inference(variable_rename,[status(thm)],[23]) ).
fof(25,negated_conjecture,
( ( ( ~ aReductOfIn0(xb,xa,xR)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,xa,xR)
| ~ sdtmndtplgtdt0(X3,xR,xb) )
& ~ sdtmndtplgtdt0(xa,xR,xb) )
| ( ~ aReductOfIn0(xc,xa,xR)
& ! [X4] :
( ~ aElement0(X4)
| ~ aReductOfIn0(X4,xa,xR)
| ~ sdtmndtplgtdt0(X4,xR,xc) )
& ~ sdtmndtplgtdt0(xa,xR,xc) )
| epred1_0 )
& ( xa = xb
| ( ( aReductOfIn0(xb,xa,xR)
| ( aElement0(esk1_0)
& aReductOfIn0(esk1_0,xa,xR)
& sdtmndtplgtdt0(esk1_0,xR,xb) ) )
& sdtmndtplgtdt0(xa,xR,xb) ) )
& sdtmndtasgtdt0(xa,xR,xb)
& ( xa = xc
| ( ( aReductOfIn0(xc,xa,xR)
| ( aElement0(esk2_0)
& aReductOfIn0(esk2_0,xa,xR)
& sdtmndtplgtdt0(esk2_0,xR,xc) ) )
& sdtmndtplgtdt0(xa,xR,xc) ) )
& sdtmndtasgtdt0(xa,xR,xc)
& ! [X7] :
( ~ aElement0(X7)
| ( xb != X7
& ~ aReductOfIn0(X7,xb,xR)
& ! [X8] :
( ~ aElement0(X8)
| ~ aReductOfIn0(X8,xb,xR)
| ~ sdtmndtplgtdt0(X8,xR,X7) )
& ~ sdtmndtplgtdt0(xb,xR,X7)
& ~ sdtmndtasgtdt0(xb,xR,X7) )
| ( xc != X7
& ~ aReductOfIn0(X7,xc,xR)
& ! [X9] :
( ~ aElement0(X9)
| ~ aReductOfIn0(X9,xc,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7) )
& ~ sdtmndtplgtdt0(xc,xR,X7)
& ~ sdtmndtasgtdt0(xc,xR,X7) ) ) ),
inference(skolemize,[status(esa)],[24]) ).
fof(26,negated_conjecture,
! [X3,X4,X7,X8,X9] :
( ( ( ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,xc,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7) )
& xc != X7
& ~ aReductOfIn0(X7,xc,xR)
& ~ sdtmndtplgtdt0(xc,xR,X7)
& ~ sdtmndtasgtdt0(xc,xR,X7) )
| ( ( ~ aElement0(X8)
| ~ aReductOfIn0(X8,xb,xR)
| ~ sdtmndtplgtdt0(X8,xR,X7) )
& xb != X7
& ~ aReductOfIn0(X7,xb,xR)
& ~ sdtmndtplgtdt0(xb,xR,X7)
& ~ sdtmndtasgtdt0(xb,xR,X7) )
| ~ aElement0(X7) )
& ( xa = xb
| ( ( aReductOfIn0(xb,xa,xR)
| ( aElement0(esk1_0)
& aReductOfIn0(esk1_0,xa,xR)
& sdtmndtplgtdt0(esk1_0,xR,xb) ) )
& sdtmndtplgtdt0(xa,xR,xb) ) )
& sdtmndtasgtdt0(xa,xR,xb)
& ( xa = xc
| ( ( aReductOfIn0(xc,xa,xR)
| ( aElement0(esk2_0)
& aReductOfIn0(esk2_0,xa,xR)
& sdtmndtplgtdt0(esk2_0,xR,xc) ) )
& sdtmndtplgtdt0(xa,xR,xc) ) )
& sdtmndtasgtdt0(xa,xR,xc)
& ( ( ( ~ aElement0(X4)
| ~ aReductOfIn0(X4,xa,xR)
| ~ sdtmndtplgtdt0(X4,xR,xc) )
& ~ aReductOfIn0(xc,xa,xR)
& ~ sdtmndtplgtdt0(xa,xR,xc) )
| ( ( ~ aElement0(X3)
| ~ aReductOfIn0(X3,xa,xR)
| ~ sdtmndtplgtdt0(X3,xR,xb) )
& ~ aReductOfIn0(xb,xa,xR)
& ~ sdtmndtplgtdt0(xa,xR,xb) )
| epred1_0 ) ),
inference(shift_quantors,[status(thm)],[25]) ).
fof(27,negated_conjecture,
! [X3,X4,X7,X8,X9] :
( ( ~ aElement0(X8)
| ~ aReductOfIn0(X8,xb,xR)
| ~ sdtmndtplgtdt0(X8,xR,X7)
| ~ aElement0(X7)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,xc,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7) )
& ( xb != X7
| ~ aElement0(X7)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,xc,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7) )
& ( ~ aReductOfIn0(X7,xb,xR)
| ~ aElement0(X7)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,xc,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7) )
& ( ~ sdtmndtplgtdt0(xb,xR,X7)
| ~ aElement0(X7)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,xc,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7) )
& ( ~ sdtmndtasgtdt0(xb,xR,X7)
| ~ aElement0(X7)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,xc,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7) )
& ( ~ aElement0(X8)
| ~ aReductOfIn0(X8,xb,xR)
| ~ sdtmndtplgtdt0(X8,xR,X7)
| ~ aElement0(X7)
| xc != X7 )
& ( xb != X7
| ~ aElement0(X7)
| xc != X7 )
& ( ~ aReductOfIn0(X7,xb,xR)
| ~ aElement0(X7)
| xc != X7 )
& ( ~ sdtmndtplgtdt0(xb,xR,X7)
| ~ aElement0(X7)
| xc != X7 )
& ( ~ sdtmndtasgtdt0(xb,xR,X7)
| ~ aElement0(X7)
| xc != X7 )
& ( ~ aElement0(X8)
| ~ aReductOfIn0(X8,xb,xR)
| ~ sdtmndtplgtdt0(X8,xR,X7)
| ~ aElement0(X7)
| ~ aReductOfIn0(X7,xc,xR) )
& ( xb != X7
| ~ aElement0(X7)
| ~ aReductOfIn0(X7,xc,xR) )
& ( ~ aReductOfIn0(X7,xb,xR)
| ~ aElement0(X7)
| ~ aReductOfIn0(X7,xc,xR) )
& ( ~ sdtmndtplgtdt0(xb,xR,X7)
| ~ aElement0(X7)
| ~ aReductOfIn0(X7,xc,xR) )
& ( ~ sdtmndtasgtdt0(xb,xR,X7)
| ~ aElement0(X7)
| ~ aReductOfIn0(X7,xc,xR) )
& ( ~ aElement0(X8)
| ~ aReductOfIn0(X8,xb,xR)
| ~ sdtmndtplgtdt0(X8,xR,X7)
| ~ aElement0(X7)
| ~ sdtmndtplgtdt0(xc,xR,X7) )
& ( xb != X7
| ~ aElement0(X7)
| ~ sdtmndtplgtdt0(xc,xR,X7) )
& ( ~ aReductOfIn0(X7,xb,xR)
| ~ aElement0(X7)
| ~ sdtmndtplgtdt0(xc,xR,X7) )
& ( ~ sdtmndtplgtdt0(xb,xR,X7)
| ~ aElement0(X7)
| ~ sdtmndtplgtdt0(xc,xR,X7) )
& ( ~ sdtmndtasgtdt0(xb,xR,X7)
| ~ aElement0(X7)
| ~ sdtmndtplgtdt0(xc,xR,X7) )
& ( ~ aElement0(X8)
| ~ aReductOfIn0(X8,xb,xR)
| ~ sdtmndtplgtdt0(X8,xR,X7)
| ~ aElement0(X7)
| ~ sdtmndtasgtdt0(xc,xR,X7) )
& ( xb != X7
| ~ aElement0(X7)
| ~ sdtmndtasgtdt0(xc,xR,X7) )
& ( ~ aReductOfIn0(X7,xb,xR)
| ~ aElement0(X7)
| ~ sdtmndtasgtdt0(xc,xR,X7) )
& ( ~ sdtmndtplgtdt0(xb,xR,X7)
| ~ aElement0(X7)
| ~ sdtmndtasgtdt0(xc,xR,X7) )
& ( ~ sdtmndtasgtdt0(xb,xR,X7)
| ~ aElement0(X7)
| ~ sdtmndtasgtdt0(xc,xR,X7) )
& ( aElement0(esk1_0)
| aReductOfIn0(xb,xa,xR)
| xa = xb )
& ( aReductOfIn0(esk1_0,xa,xR)
| aReductOfIn0(xb,xa,xR)
| xa = xb )
& ( sdtmndtplgtdt0(esk1_0,xR,xb)
| aReductOfIn0(xb,xa,xR)
| xa = xb )
& ( sdtmndtplgtdt0(xa,xR,xb)
| xa = xb )
& sdtmndtasgtdt0(xa,xR,xb)
& ( aElement0(esk2_0)
| aReductOfIn0(xc,xa,xR)
| xa = xc )
& ( aReductOfIn0(esk2_0,xa,xR)
| aReductOfIn0(xc,xa,xR)
| xa = xc )
& ( sdtmndtplgtdt0(esk2_0,xR,xc)
| aReductOfIn0(xc,xa,xR)
| xa = xc )
& ( sdtmndtplgtdt0(xa,xR,xc)
| xa = xc )
& sdtmndtasgtdt0(xa,xR,xc)
& ( ~ aElement0(X3)
| ~ aReductOfIn0(X3,xa,xR)
| ~ sdtmndtplgtdt0(X3,xR,xb)
| ~ aElement0(X4)
| ~ aReductOfIn0(X4,xa,xR)
| ~ sdtmndtplgtdt0(X4,xR,xc)
| epred1_0 )
& ( ~ aReductOfIn0(xb,xa,xR)
| ~ aElement0(X4)
| ~ aReductOfIn0(X4,xa,xR)
| ~ sdtmndtplgtdt0(X4,xR,xc)
| epred1_0 )
& ( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ aElement0(X4)
| ~ aReductOfIn0(X4,xa,xR)
| ~ sdtmndtplgtdt0(X4,xR,xc)
| epred1_0 )
& ( ~ aElement0(X3)
| ~ aReductOfIn0(X3,xa,xR)
| ~ sdtmndtplgtdt0(X3,xR,xb)
| ~ aReductOfIn0(xc,xa,xR)
| epred1_0 )
& ( ~ aReductOfIn0(xb,xa,xR)
| ~ aReductOfIn0(xc,xa,xR)
| epred1_0 )
& ( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ aReductOfIn0(xc,xa,xR)
| epred1_0 )
& ( ~ aElement0(X3)
| ~ aReductOfIn0(X3,xa,xR)
| ~ sdtmndtplgtdt0(X3,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| epred1_0 )
& ( ~ aReductOfIn0(xb,xa,xR)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| epred1_0 )
& ( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| epred1_0 ) ),
inference(distribute,[status(thm)],[26]) ).
cnf(28,negated_conjecture,
( epred1_0
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(split_conjunct,[status(thm)],[27]) ).
cnf(37,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xc),
inference(split_conjunct,[status(thm)],[27]) ).
cnf(38,negated_conjecture,
( xa = xc
| sdtmndtplgtdt0(xa,xR,xc) ),
inference(split_conjunct,[status(thm)],[27]) ).
cnf(42,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xb),
inference(split_conjunct,[status(thm)],[27]) ).
cnf(43,negated_conjecture,
( xa = xb
| sdtmndtplgtdt0(xa,xR,xb) ),
inference(split_conjunct,[status(thm)],[27]) ).
cnf(47,negated_conjecture,
( ~ sdtmndtasgtdt0(xc,xR,X1)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(xb,xR,X1) ),
inference(split_conjunct,[status(thm)],[27]) ).
cnf(50,negated_conjecture,
( ~ sdtmndtasgtdt0(xc,xR,X1)
| ~ aElement0(X1)
| xb != X1 ),
inference(split_conjunct,[status(thm)],[27]) ).
cnf(62,negated_conjecture,
( xc != X1
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(xb,xR,X1) ),
inference(split_conjunct,[status(thm)],[27]) ).
cnf(388,plain,
aElement0(xc),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(389,plain,
aElement0(xb),
inference(split_conjunct,[status(thm)],[7]) ).
fof(467,plain,
( ~ epred1_0
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& ( X1 = xb
| ( ( aReductOfIn0(xb,X1,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,X1,xR)
& sdtmndtplgtdt0(X2,xR,xb) ) )
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtasgtdt0(X1,xR,xb)
& ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xa,xR)
& ( X2 = xc
| ( ( aReductOfIn0(xc,X2,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X2,xR)
& sdtmndtplgtdt0(X3,xR,xc) ) )
& sdtmndtplgtdt0(X2,xR,xc) ) )
& sdtmndtasgtdt0(X2,xR,xc)
& ? [X3] :
( aElement0(X3)
& ( X1 = X3
| ( ( aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X1,xR,X3) ) )
& sdtmndtasgtdt0(X1,xR,X3)
& ( X2 = X3
| ( ( aReductOfIn0(X3,X2,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X2,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X2,xR,X3) ) )
& sdtmndtasgtdt0(X2,xR,X3)
& ? [X4] :
( aElement0(X4)
& ( X3 = X4
| ( ( aReductOfIn0(X4,X3,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X3,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X3,xR,X4) ) )
& sdtmndtasgtdt0(X3,xR,X4)
& ! [X5] : ~ aReductOfIn0(X5,X4,xR)
& aNormalFormOfIn0(X4,X3,xR)
& ( xb = X4
| ( ( aReductOfIn0(X4,xb,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xb,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xb,xR,X4) ) )
& sdtmndtasgtdt0(xb,xR,X4)
& ( xc = X4
| ( ( aReductOfIn0(X4,xc,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xc,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xc,xR,X4) ) )
& sdtmndtasgtdt0(xc,xR,X4) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(468,plain,
( ~ epred1_0
| ? [X6] :
( aElement0(X6)
& aReductOfIn0(X6,xa,xR)
& ( X6 = xb
| ( ( aReductOfIn0(xb,X6,xR)
| ? [X7] :
( aElement0(X7)
& aReductOfIn0(X7,X6,xR)
& sdtmndtplgtdt0(X7,xR,xb) ) )
& sdtmndtplgtdt0(X6,xR,xb) ) )
& sdtmndtasgtdt0(X6,xR,xb)
& ? [X8] :
( aElement0(X8)
& aReductOfIn0(X8,xa,xR)
& ( X8 = xc
| ( ( aReductOfIn0(xc,X8,xR)
| ? [X9] :
( aElement0(X9)
& aReductOfIn0(X9,X8,xR)
& sdtmndtplgtdt0(X9,xR,xc) ) )
& sdtmndtplgtdt0(X8,xR,xc) ) )
& sdtmndtasgtdt0(X8,xR,xc)
& ? [X10] :
( aElement0(X10)
& ( X6 = X10
| ( ( aReductOfIn0(X10,X6,xR)
| ? [X11] :
( aElement0(X11)
& aReductOfIn0(X11,X6,xR)
& sdtmndtplgtdt0(X11,xR,X10) ) )
& sdtmndtplgtdt0(X6,xR,X10) ) )
& sdtmndtasgtdt0(X6,xR,X10)
& ( X8 = X10
| ( ( aReductOfIn0(X10,X8,xR)
| ? [X12] :
( aElement0(X12)
& aReductOfIn0(X12,X8,xR)
& sdtmndtplgtdt0(X12,xR,X10) ) )
& sdtmndtplgtdt0(X8,xR,X10) ) )
& sdtmndtasgtdt0(X8,xR,X10)
& ? [X13] :
( aElement0(X13)
& ( X10 = X13
| ( ( aReductOfIn0(X13,X10,xR)
| ? [X14] :
( aElement0(X14)
& aReductOfIn0(X14,X10,xR)
& sdtmndtplgtdt0(X14,xR,X13) ) )
& sdtmndtplgtdt0(X10,xR,X13) ) )
& sdtmndtasgtdt0(X10,xR,X13)
& ! [X15] : ~ aReductOfIn0(X15,X13,xR)
& aNormalFormOfIn0(X13,X10,xR)
& ( xb = X13
| ( ( aReductOfIn0(X13,xb,xR)
| ? [X16] :
( aElement0(X16)
& aReductOfIn0(X16,xb,xR)
& sdtmndtplgtdt0(X16,xR,X13) ) )
& sdtmndtplgtdt0(xb,xR,X13) ) )
& sdtmndtasgtdt0(xb,xR,X13)
& ( xc = X13
| ( ( aReductOfIn0(X13,xc,xR)
| ? [X17] :
( aElement0(X17)
& aReductOfIn0(X17,xc,xR)
& sdtmndtplgtdt0(X17,xR,X13) ) )
& sdtmndtplgtdt0(xc,xR,X13) ) )
& sdtmndtasgtdt0(xc,xR,X13) ) ) ) ) ),
inference(variable_rename,[status(thm)],[467]) ).
fof(469,plain,
( ~ epred1_0
| ( aElement0(esk22_0)
& aReductOfIn0(esk22_0,xa,xR)
& ( esk22_0 = xb
| ( ( aReductOfIn0(xb,esk22_0,xR)
| ( aElement0(esk23_0)
& aReductOfIn0(esk23_0,esk22_0,xR)
& sdtmndtplgtdt0(esk23_0,xR,xb) ) )
& sdtmndtplgtdt0(esk22_0,xR,xb) ) )
& sdtmndtasgtdt0(esk22_0,xR,xb)
& aElement0(esk24_0)
& aReductOfIn0(esk24_0,xa,xR)
& ( esk24_0 = xc
| ( ( aReductOfIn0(xc,esk24_0,xR)
| ( aElement0(esk25_0)
& aReductOfIn0(esk25_0,esk24_0,xR)
& sdtmndtplgtdt0(esk25_0,xR,xc) ) )
& sdtmndtplgtdt0(esk24_0,xR,xc) ) )
& sdtmndtasgtdt0(esk24_0,xR,xc)
& aElement0(esk26_0)
& ( esk22_0 = esk26_0
| ( ( aReductOfIn0(esk26_0,esk22_0,xR)
| ( aElement0(esk27_0)
& aReductOfIn0(esk27_0,esk22_0,xR)
& sdtmndtplgtdt0(esk27_0,xR,esk26_0) ) )
& sdtmndtplgtdt0(esk22_0,xR,esk26_0) ) )
& sdtmndtasgtdt0(esk22_0,xR,esk26_0)
& ( esk24_0 = esk26_0
| ( ( aReductOfIn0(esk26_0,esk24_0,xR)
| ( aElement0(esk28_0)
& aReductOfIn0(esk28_0,esk24_0,xR)
& sdtmndtplgtdt0(esk28_0,xR,esk26_0) ) )
& sdtmndtplgtdt0(esk24_0,xR,esk26_0) ) )
& sdtmndtasgtdt0(esk24_0,xR,esk26_0)
& aElement0(esk29_0)
& ( esk26_0 = esk29_0
| ( ( aReductOfIn0(esk29_0,esk26_0,xR)
| ( aElement0(esk30_0)
& aReductOfIn0(esk30_0,esk26_0,xR)
& sdtmndtplgtdt0(esk30_0,xR,esk29_0) ) )
& sdtmndtplgtdt0(esk26_0,xR,esk29_0) ) )
& sdtmndtasgtdt0(esk26_0,xR,esk29_0)
& ! [X15] : ~ aReductOfIn0(X15,esk29_0,xR)
& aNormalFormOfIn0(esk29_0,esk26_0,xR)
& ( xb = esk29_0
| ( ( aReductOfIn0(esk29_0,xb,xR)
| ( aElement0(esk31_0)
& aReductOfIn0(esk31_0,xb,xR)
& sdtmndtplgtdt0(esk31_0,xR,esk29_0) ) )
& sdtmndtplgtdt0(xb,xR,esk29_0) ) )
& sdtmndtasgtdt0(xb,xR,esk29_0)
& ( xc = esk29_0
| ( ( aReductOfIn0(esk29_0,xc,xR)
| ( aElement0(esk32_0)
& aReductOfIn0(esk32_0,xc,xR)
& sdtmndtplgtdt0(esk32_0,xR,esk29_0) ) )
& sdtmndtplgtdt0(xc,xR,esk29_0) ) )
& sdtmndtasgtdt0(xc,xR,esk29_0) ) ),
inference(skolemize,[status(esa)],[468]) ).
fof(470,plain,
! [X15] :
( ( ~ aReductOfIn0(X15,esk29_0,xR)
& aElement0(esk29_0)
& ( esk26_0 = esk29_0
| ( ( aReductOfIn0(esk29_0,esk26_0,xR)
| ( aElement0(esk30_0)
& aReductOfIn0(esk30_0,esk26_0,xR)
& sdtmndtplgtdt0(esk30_0,xR,esk29_0) ) )
& sdtmndtplgtdt0(esk26_0,xR,esk29_0) ) )
& sdtmndtasgtdt0(esk26_0,xR,esk29_0)
& aNormalFormOfIn0(esk29_0,esk26_0,xR)
& ( xb = esk29_0
| ( ( aReductOfIn0(esk29_0,xb,xR)
| ( aElement0(esk31_0)
& aReductOfIn0(esk31_0,xb,xR)
& sdtmndtplgtdt0(esk31_0,xR,esk29_0) ) )
& sdtmndtplgtdt0(xb,xR,esk29_0) ) )
& sdtmndtasgtdt0(xb,xR,esk29_0)
& ( xc = esk29_0
| ( ( aReductOfIn0(esk29_0,xc,xR)
| ( aElement0(esk32_0)
& aReductOfIn0(esk32_0,xc,xR)
& sdtmndtplgtdt0(esk32_0,xR,esk29_0) ) )
& sdtmndtplgtdt0(xc,xR,esk29_0) ) )
& sdtmndtasgtdt0(xc,xR,esk29_0)
& aElement0(esk26_0)
& ( esk22_0 = esk26_0
| ( ( aReductOfIn0(esk26_0,esk22_0,xR)
| ( aElement0(esk27_0)
& aReductOfIn0(esk27_0,esk22_0,xR)
& sdtmndtplgtdt0(esk27_0,xR,esk26_0) ) )
& sdtmndtplgtdt0(esk22_0,xR,esk26_0) ) )
& sdtmndtasgtdt0(esk22_0,xR,esk26_0)
& ( esk24_0 = esk26_0
| ( ( aReductOfIn0(esk26_0,esk24_0,xR)
| ( aElement0(esk28_0)
& aReductOfIn0(esk28_0,esk24_0,xR)
& sdtmndtplgtdt0(esk28_0,xR,esk26_0) ) )
& sdtmndtplgtdt0(esk24_0,xR,esk26_0) ) )
& sdtmndtasgtdt0(esk24_0,xR,esk26_0)
& aElement0(esk24_0)
& aReductOfIn0(esk24_0,xa,xR)
& ( esk24_0 = xc
| ( ( aReductOfIn0(xc,esk24_0,xR)
| ( aElement0(esk25_0)
& aReductOfIn0(esk25_0,esk24_0,xR)
& sdtmndtplgtdt0(esk25_0,xR,xc) ) )
& sdtmndtplgtdt0(esk24_0,xR,xc) ) )
& sdtmndtasgtdt0(esk24_0,xR,xc)
& aElement0(esk22_0)
& aReductOfIn0(esk22_0,xa,xR)
& ( esk22_0 = xb
| ( ( aReductOfIn0(xb,esk22_0,xR)
| ( aElement0(esk23_0)
& aReductOfIn0(esk23_0,esk22_0,xR)
& sdtmndtplgtdt0(esk23_0,xR,xb) ) )
& sdtmndtplgtdt0(esk22_0,xR,xb) ) )
& sdtmndtasgtdt0(esk22_0,xR,xb) )
| ~ epred1_0 ),
inference(shift_quantors,[status(thm)],[469]) ).
fof(471,plain,
! [X15] :
( ( ~ aReductOfIn0(X15,esk29_0,xR)
| ~ epred1_0 )
& ( aElement0(esk29_0)
| ~ epred1_0 )
& ( aElement0(esk30_0)
| aReductOfIn0(esk29_0,esk26_0,xR)
| esk26_0 = esk29_0
| ~ epred1_0 )
& ( aReductOfIn0(esk30_0,esk26_0,xR)
| aReductOfIn0(esk29_0,esk26_0,xR)
| esk26_0 = esk29_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk30_0,xR,esk29_0)
| aReductOfIn0(esk29_0,esk26_0,xR)
| esk26_0 = esk29_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk26_0,xR,esk29_0)
| esk26_0 = esk29_0
| ~ epred1_0 )
& ( sdtmndtasgtdt0(esk26_0,xR,esk29_0)
| ~ epred1_0 )
& ( aNormalFormOfIn0(esk29_0,esk26_0,xR)
| ~ epred1_0 )
& ( aElement0(esk31_0)
| aReductOfIn0(esk29_0,xb,xR)
| xb = esk29_0
| ~ epred1_0 )
& ( aReductOfIn0(esk31_0,xb,xR)
| aReductOfIn0(esk29_0,xb,xR)
| xb = esk29_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk31_0,xR,esk29_0)
| aReductOfIn0(esk29_0,xb,xR)
| xb = esk29_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(xb,xR,esk29_0)
| xb = esk29_0
| ~ epred1_0 )
& ( sdtmndtasgtdt0(xb,xR,esk29_0)
| ~ epred1_0 )
& ( aElement0(esk32_0)
| aReductOfIn0(esk29_0,xc,xR)
| xc = esk29_0
| ~ epred1_0 )
& ( aReductOfIn0(esk32_0,xc,xR)
| aReductOfIn0(esk29_0,xc,xR)
| xc = esk29_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk32_0,xR,esk29_0)
| aReductOfIn0(esk29_0,xc,xR)
| xc = esk29_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(xc,xR,esk29_0)
| xc = esk29_0
| ~ epred1_0 )
& ( sdtmndtasgtdt0(xc,xR,esk29_0)
| ~ epred1_0 )
& ( aElement0(esk26_0)
| ~ epred1_0 )
& ( aElement0(esk27_0)
| aReductOfIn0(esk26_0,esk22_0,xR)
| esk22_0 = esk26_0
| ~ epred1_0 )
& ( aReductOfIn0(esk27_0,esk22_0,xR)
| aReductOfIn0(esk26_0,esk22_0,xR)
| esk22_0 = esk26_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk27_0,xR,esk26_0)
| aReductOfIn0(esk26_0,esk22_0,xR)
| esk22_0 = esk26_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk22_0,xR,esk26_0)
| esk22_0 = esk26_0
| ~ epred1_0 )
& ( sdtmndtasgtdt0(esk22_0,xR,esk26_0)
| ~ epred1_0 )
& ( aElement0(esk28_0)
| aReductOfIn0(esk26_0,esk24_0,xR)
| esk24_0 = esk26_0
| ~ epred1_0 )
& ( aReductOfIn0(esk28_0,esk24_0,xR)
| aReductOfIn0(esk26_0,esk24_0,xR)
| esk24_0 = esk26_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk28_0,xR,esk26_0)
| aReductOfIn0(esk26_0,esk24_0,xR)
| esk24_0 = esk26_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk24_0,xR,esk26_0)
| esk24_0 = esk26_0
| ~ epred1_0 )
& ( sdtmndtasgtdt0(esk24_0,xR,esk26_0)
| ~ epred1_0 )
& ( aElement0(esk24_0)
| ~ epred1_0 )
& ( aReductOfIn0(esk24_0,xa,xR)
| ~ epred1_0 )
& ( aElement0(esk25_0)
| aReductOfIn0(xc,esk24_0,xR)
| esk24_0 = xc
| ~ epred1_0 )
& ( aReductOfIn0(esk25_0,esk24_0,xR)
| aReductOfIn0(xc,esk24_0,xR)
| esk24_0 = xc
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk25_0,xR,xc)
| aReductOfIn0(xc,esk24_0,xR)
| esk24_0 = xc
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk24_0,xR,xc)
| esk24_0 = xc
| ~ epred1_0 )
& ( sdtmndtasgtdt0(esk24_0,xR,xc)
| ~ epred1_0 )
& ( aElement0(esk22_0)
| ~ epred1_0 )
& ( aReductOfIn0(esk22_0,xa,xR)
| ~ epred1_0 )
& ( aElement0(esk23_0)
| aReductOfIn0(xb,esk22_0,xR)
| esk22_0 = xb
| ~ epred1_0 )
& ( aReductOfIn0(esk23_0,esk22_0,xR)
| aReductOfIn0(xb,esk22_0,xR)
| esk22_0 = xb
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk23_0,xR,xb)
| aReductOfIn0(xb,esk22_0,xR)
| esk22_0 = xb
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk22_0,xR,xb)
| esk22_0 = xb
| ~ epred1_0 )
& ( sdtmndtasgtdt0(esk22_0,xR,xb)
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[470]) ).
cnf(497,plain,
( sdtmndtasgtdt0(xc,xR,esk29_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[471]) ).
cnf(502,plain,
( sdtmndtasgtdt0(xb,xR,esk29_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[471]) ).
cnf(513,plain,
( aElement0(esk29_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[471]) ).
cnf(530,negated_conjecture,
( ~ sdtmndtasgtdt0(xc,xR,xb)
| ~ aElement0(xb) ),
inference(er,[status(thm)],[50,theory(equality)]) ).
cnf(531,negated_conjecture,
( ~ sdtmndtasgtdt0(xc,xR,xb)
| $false ),
inference(rw,[status(thm)],[530,389,theory(equality)]) ).
cnf(532,negated_conjecture,
~ sdtmndtasgtdt0(xc,xR,xb),
inference(cn,[status(thm)],[531,theory(equality)]) ).
cnf(536,negated_conjecture,
( ~ sdtmndtasgtdt0(xb,xR,xc)
| ~ aElement0(xc) ),
inference(er,[status(thm)],[62,theory(equality)]) ).
cnf(537,negated_conjecture,
( ~ sdtmndtasgtdt0(xb,xR,xc)
| $false ),
inference(rw,[status(thm)],[536,388,theory(equality)]) ).
cnf(538,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xc),
inference(cn,[status(thm)],[537,theory(equality)]) ).
cnf(539,negated_conjecture,
( epred1_0
| xb = xa
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
inference(spm,[status(thm)],[28,43,theory(equality)]) ).
cnf(2415,negated_conjecture,
( xb = xa
| epred1_0
| xc = xa ),
inference(spm,[status(thm)],[539,38,theory(equality)]) ).
cnf(2424,negated_conjecture,
( aElement0(esk29_0)
| xc = xa
| xb = xa ),
inference(spm,[status(thm)],[513,2415,theory(equality)]) ).
cnf(2427,negated_conjecture,
( sdtmndtasgtdt0(xb,xR,esk29_0)
| xc = xa
| xb = xa ),
inference(spm,[status(thm)],[502,2415,theory(equality)]) ).
cnf(2428,negated_conjecture,
( sdtmndtasgtdt0(xc,xR,esk29_0)
| xc = xa
| xb = xa ),
inference(spm,[status(thm)],[497,2415,theory(equality)]) ).
cnf(2839,negated_conjecture,
( xb = xa
| xc = xa
| ~ sdtmndtasgtdt0(xc,xR,esk29_0)
| ~ aElement0(esk29_0) ),
inference(spm,[status(thm)],[47,2427,theory(equality)]) ).
cnf(3201,negated_conjecture,
( xb = xa
| xc = xa
| ~ sdtmndtasgtdt0(xc,xR,esk29_0) ),
inference(csr,[status(thm)],[2839,2424]) ).
cnf(3202,negated_conjecture,
( xb = xa
| xc = xa ),
inference(csr,[status(thm)],[3201,2428]) ).
cnf(3211,negated_conjecture,
( xc = xa
| ~ sdtmndtasgtdt0(xa,xR,xc) ),
inference(spm,[status(thm)],[538,3202,theory(equality)]) ).
cnf(3236,negated_conjecture,
( xc = xa
| $false ),
inference(rw,[status(thm)],[3211,37,theory(equality)]) ).
cnf(3237,negated_conjecture,
xc = xa,
inference(cn,[status(thm)],[3236,theory(equality)]) ).
cnf(3243,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[532,3237,theory(equality)]),42,theory(equality)]) ).
cnf(3244,negated_conjecture,
$false,
inference(cn,[status(thm)],[3243,theory(equality)]) ).
cnf(3245,negated_conjecture,
$false,
3244,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/COM/COM022+4.p
% --creating new selector for []
% -running prover on /tmp/tmpUQkv4q/sel_COM022+4.p_1 with time limit 29
% -prover status Theorem
% Problem COM022+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/COM/COM022+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/COM/COM022+4.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------