%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : COM020+1 : 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 05:48:31 EST 2010
% Result : Theorem 0.23s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 13
% Syntax : Number of formulae : 101 ( 18 unt; 0 def)
% Number of atoms : 573 ( 0 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 822 ( 350 ~; 365 |; 93 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 177 ( 0 sgn 105 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3)
& sdtmndtasgtdt0(X1,xR,X2)
& sdtmndtasgtdt0(X1,xR,X3) )
=> ( iLess0(X1,xa)
=> ? [X4] :
( aElement0(X4)
& sdtmndtasgtdt0(X2,xR,X4)
& sdtmndtasgtdt0(X3,xR,X4) ) ) ),
file('/tmp/tmpdcnLgJ/sel_COM020+1.p_1',m__715) ).
fof(4,axiom,
aNormalFormOfIn0(xd,xw,xR),
file('/tmp/tmpdcnLgJ/sel_COM020+1.p_1',m__818) ).
fof(5,axiom,
( aElement0(xw)
& sdtmndtasgtdt0(xu,xR,xw)
& sdtmndtasgtdt0(xv,xR,xw) ),
file('/tmp/tmpdcnLgJ/sel_COM020+1.p_1',m__799) ).
fof(6,axiom,
aRewritingSystem0(xR),
file('/tmp/tmpdcnLgJ/sel_COM020+1.p_1',m__656) ).
fof(7,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aReductOfIn0(X3,X1,X2)
=> aElement0(X3) ) ),
file('/tmp/tmpdcnLgJ/sel_COM020+1.p_1',mReduct) ).
fof(13,conjecture,
? [X1] :
( aElement0(X1)
& sdtmndtasgtdt0(xb,xR,X1)
& sdtmndtasgtdt0(xd,xR,X1) ),
file('/tmp/tmpdcnLgJ/sel_COM020+1.p_1',m__) ).
fof(14,axiom,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/tmp/tmpdcnLgJ/sel_COM020+1.p_1',m__731) ).
fof(15,axiom,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& sdtmndtasgtdt0(xu,xR,xb) ),
file('/tmp/tmpdcnLgJ/sel_COM020+1.p_1',m__755) ).
fof(18,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aNormalFormOfIn0(X3,X1,X2)
<=> ( aElement0(X3)
& sdtmndtasgtdt0(X1,X2,X3)
& ~ ? [X4] : aReductOfIn0(X4,X3,X2) ) ) ),
file('/tmp/tmpdcnLgJ/sel_COM020+1.p_1',mNFRDef) ).
fof(19,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtplgtdt0(X1,X2,X3)
<=> ( aReductOfIn0(X3,X1,X2)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,X2)
& sdtmndtplgtdt0(X4,X2,X3) ) ) ) ),
file('/tmp/tmpdcnLgJ/sel_COM020+1.p_1',mTCDef) ).
fof(20,axiom,
! [X1] :
( aRewritingSystem0(X1)
=> ( isTerminating0(X1)
<=> ! [X2,X3] :
( ( aElement0(X2)
& aElement0(X3) )
=> ( sdtmndtplgtdt0(X2,X1,X3)
=> iLess0(X3,X2) ) ) ) ),
file('/tmp/tmpdcnLgJ/sel_COM020+1.p_1',mTermin) ).
fof(22,axiom,
( isLocallyConfluent0(xR)
& isTerminating0(xR) ),
file('/tmp/tmpdcnLgJ/sel_COM020+1.p_1',m__656_01) ).
fof(23,axiom,
! [X1,X2,X3,X4] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3)
& aElement0(X4) )
=> ( ( sdtmndtasgtdt0(X1,X2,X3)
& sdtmndtasgtdt0(X3,X2,X4) )
=> sdtmndtasgtdt0(X1,X2,X4) ) ),
file('/tmp/tmpdcnLgJ/sel_COM020+1.p_1',mTCRTrans) ).
fof(25,negated_conjecture,
~ ? [X1] :
( aElement0(X1)
& sdtmndtasgtdt0(xb,xR,X1)
& sdtmndtasgtdt0(xd,xR,X1) ),
inference(assume_negation,[status(cth)],[13]) ).
fof(43,plain,
! [X1,X2,X3] :
( ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X3)
| ~ iLess0(X1,xa)
| ? [X4] :
( aElement0(X4)
& sdtmndtasgtdt0(X2,xR,X4)
& sdtmndtasgtdt0(X3,xR,X4) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(44,plain,
! [X5,X6,X7] :
( ~ aElement0(X5)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ sdtmndtasgtdt0(X5,xR,X6)
| ~ sdtmndtasgtdt0(X5,xR,X7)
| ~ iLess0(X5,xa)
| ? [X8] :
( aElement0(X8)
& sdtmndtasgtdt0(X6,xR,X8)
& sdtmndtasgtdt0(X7,xR,X8) ) ),
inference(variable_rename,[status(thm)],[43]) ).
fof(45,plain,
! [X5,X6,X7] :
( ~ aElement0(X5)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ sdtmndtasgtdt0(X5,xR,X6)
| ~ sdtmndtasgtdt0(X5,xR,X7)
| ~ iLess0(X5,xa)
| ( aElement0(esk5_3(X5,X6,X7))
& sdtmndtasgtdt0(X6,xR,esk5_3(X5,X6,X7))
& sdtmndtasgtdt0(X7,xR,esk5_3(X5,X6,X7)) ) ),
inference(skolemize,[status(esa)],[44]) ).
fof(46,plain,
! [X5,X6,X7] :
( ( aElement0(esk5_3(X5,X6,X7))
| ~ iLess0(X5,xa)
| ~ aElement0(X5)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ sdtmndtasgtdt0(X5,xR,X6)
| ~ sdtmndtasgtdt0(X5,xR,X7) )
& ( sdtmndtasgtdt0(X6,xR,esk5_3(X5,X6,X7))
| ~ iLess0(X5,xa)
| ~ aElement0(X5)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ sdtmndtasgtdt0(X5,xR,X6)
| ~ sdtmndtasgtdt0(X5,xR,X7) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X5,X6,X7))
| ~ iLess0(X5,xa)
| ~ aElement0(X5)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ sdtmndtasgtdt0(X5,xR,X6)
| ~ sdtmndtasgtdt0(X5,xR,X7) ) ),
inference(distribute,[status(thm)],[45]) ).
cnf(47,plain,
( sdtmndtasgtdt0(X2,xR,esk5_3(X1,X3,X2))
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X3)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[46]) ).
cnf(48,plain,
( sdtmndtasgtdt0(X3,xR,esk5_3(X1,X3,X2))
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X3)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[46]) ).
cnf(49,plain,
( aElement0(esk5_3(X1,X3,X2))
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X3)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[46]) ).
cnf(50,plain,
aNormalFormOfIn0(xd,xw,xR),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(52,plain,
sdtmndtasgtdt0(xu,xR,xw),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(53,plain,
aElement0(xw),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(54,plain,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[6]) ).
fof(55,plain,
! [X1,X2] :
( ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ! [X3] :
( ~ aReductOfIn0(X3,X1,X2)
| aElement0(X3) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(56,plain,
! [X4,X5] :
( ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ! [X6] :
( ~ aReductOfIn0(X6,X4,X5)
| aElement0(X6) ) ),
inference(variable_rename,[status(thm)],[55]) ).
fof(57,plain,
! [X4,X5,X6] :
( ~ aReductOfIn0(X6,X4,X5)
| aElement0(X6)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X5) ),
inference(shift_quantors,[status(thm)],[56]) ).
cnf(58,plain,
( aElement0(X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aReductOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[57]) ).
fof(89,negated_conjecture,
! [X1] :
( ~ aElement0(X1)
| ~ sdtmndtasgtdt0(xb,xR,X1)
| ~ sdtmndtasgtdt0(xd,xR,X1) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(90,negated_conjecture,
! [X2] :
( ~ aElement0(X2)
| ~ sdtmndtasgtdt0(xb,xR,X2)
| ~ sdtmndtasgtdt0(xd,xR,X2) ),
inference(variable_rename,[status(thm)],[89]) ).
cnf(91,negated_conjecture,
( ~ sdtmndtasgtdt0(xd,xR,X1)
| ~ sdtmndtasgtdt0(xb,xR,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[90]) ).
cnf(93,plain,
aElement0(xb),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(94,plain,
aElement0(xa),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(95,plain,
sdtmndtasgtdt0(xu,xR,xb),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(96,plain,
aReductOfIn0(xu,xa,xR),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(97,plain,
aElement0(xu),
inference(split_conjunct,[status(thm)],[15]) ).
fof(104,plain,
! [X1,X2] :
( ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ! [X3] :
( ( ~ aNormalFormOfIn0(X3,X1,X2)
| ( aElement0(X3)
& sdtmndtasgtdt0(X1,X2,X3)
& ! [X4] : ~ aReductOfIn0(X4,X3,X2) ) )
& ( ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,X2,X3)
| ? [X4] : aReductOfIn0(X4,X3,X2)
| aNormalFormOfIn0(X3,X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(105,plain,
! [X5,X6] :
( ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ! [X7] :
( ( ~ aNormalFormOfIn0(X7,X5,X6)
| ( aElement0(X7)
& sdtmndtasgtdt0(X5,X6,X7)
& ! [X8] : ~ aReductOfIn0(X8,X7,X6) ) )
& ( ~ aElement0(X7)
| ~ sdtmndtasgtdt0(X5,X6,X7)
| ? [X9] : aReductOfIn0(X9,X7,X6)
| aNormalFormOfIn0(X7,X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[104]) ).
fof(106,plain,
! [X5,X6] :
( ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ! [X7] :
( ( ~ aNormalFormOfIn0(X7,X5,X6)
| ( aElement0(X7)
& sdtmndtasgtdt0(X5,X6,X7)
& ! [X8] : ~ aReductOfIn0(X8,X7,X6) ) )
& ( ~ aElement0(X7)
| ~ sdtmndtasgtdt0(X5,X6,X7)
| aReductOfIn0(esk11_3(X5,X6,X7),X7,X6)
| aNormalFormOfIn0(X7,X5,X6) ) ) ),
inference(skolemize,[status(esa)],[105]) ).
fof(107,plain,
! [X5,X6,X7,X8] :
( ( ( ( ~ aReductOfIn0(X8,X7,X6)
& aElement0(X7)
& sdtmndtasgtdt0(X5,X6,X7) )
| ~ aNormalFormOfIn0(X7,X5,X6) )
& ( ~ aElement0(X7)
| ~ sdtmndtasgtdt0(X5,X6,X7)
| aReductOfIn0(esk11_3(X5,X6,X7),X7,X6)
| aNormalFormOfIn0(X7,X5,X6) ) )
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) ),
inference(shift_quantors,[status(thm)],[106]) ).
fof(108,plain,
! [X5,X6,X7,X8] :
( ( ~ aReductOfIn0(X8,X7,X6)
| ~ aNormalFormOfIn0(X7,X5,X6)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) )
& ( aElement0(X7)
| ~ aNormalFormOfIn0(X7,X5,X6)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) )
& ( sdtmndtasgtdt0(X5,X6,X7)
| ~ aNormalFormOfIn0(X7,X5,X6)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) )
& ( ~ aElement0(X7)
| ~ sdtmndtasgtdt0(X5,X6,X7)
| aReductOfIn0(esk11_3(X5,X6,X7),X7,X6)
| aNormalFormOfIn0(X7,X5,X6)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) ) ),
inference(distribute,[status(thm)],[107]) ).
cnf(110,plain,
( sdtmndtasgtdt0(X2,X1,X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[108]) ).
cnf(111,plain,
( aElement0(X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[108]) ).
fof(113,plain,
! [X1,X2,X3] :
( ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ( ( ~ sdtmndtplgtdt0(X1,X2,X3)
| aReductOfIn0(X3,X1,X2)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,X2)
& sdtmndtplgtdt0(X4,X2,X3) ) )
& ( ( ~ aReductOfIn0(X3,X1,X2)
& ! [X4] :
( ~ aElement0(X4)
| ~ aReductOfIn0(X4,X1,X2)
| ~ sdtmndtplgtdt0(X4,X2,X3) ) )
| sdtmndtplgtdt0(X1,X2,X3) ) ) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(114,plain,
! [X5,X6,X7] :
( ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7)
| ( ( ~ sdtmndtplgtdt0(X5,X6,X7)
| aReductOfIn0(X7,X5,X6)
| ? [X8] :
( aElement0(X8)
& aReductOfIn0(X8,X5,X6)
& sdtmndtplgtdt0(X8,X6,X7) ) )
& ( ( ~ aReductOfIn0(X7,X5,X6)
& ! [X9] :
( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X5,X6)
| ~ sdtmndtplgtdt0(X9,X6,X7) ) )
| sdtmndtplgtdt0(X5,X6,X7) ) ) ),
inference(variable_rename,[status(thm)],[113]) ).
fof(115,plain,
! [X5,X6,X7] :
( ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7)
| ( ( ~ sdtmndtplgtdt0(X5,X6,X7)
| aReductOfIn0(X7,X5,X6)
| ( aElement0(esk12_3(X5,X6,X7))
& aReductOfIn0(esk12_3(X5,X6,X7),X5,X6)
& sdtmndtplgtdt0(esk12_3(X5,X6,X7),X6,X7) ) )
& ( ( ~ aReductOfIn0(X7,X5,X6)
& ! [X9] :
( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X5,X6)
| ~ sdtmndtplgtdt0(X9,X6,X7) ) )
| sdtmndtplgtdt0(X5,X6,X7) ) ) ),
inference(skolemize,[status(esa)],[114]) ).
fof(116,plain,
! [X5,X6,X7,X9] :
( ( ( ( ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X5,X6)
| ~ sdtmndtplgtdt0(X9,X6,X7) )
& ~ aReductOfIn0(X7,X5,X6) )
| sdtmndtplgtdt0(X5,X6,X7) )
& ( ~ sdtmndtplgtdt0(X5,X6,X7)
| aReductOfIn0(X7,X5,X6)
| ( aElement0(esk12_3(X5,X6,X7))
& aReductOfIn0(esk12_3(X5,X6,X7),X5,X6)
& sdtmndtplgtdt0(esk12_3(X5,X6,X7),X6,X7) ) ) )
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) ),
inference(shift_quantors,[status(thm)],[115]) ).
fof(117,plain,
! [X5,X6,X7,X9] :
( ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X5,X6)
| ~ sdtmndtplgtdt0(X9,X6,X7)
| sdtmndtplgtdt0(X5,X6,X7)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) )
& ( ~ aReductOfIn0(X7,X5,X6)
| sdtmndtplgtdt0(X5,X6,X7)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) )
& ( aElement0(esk12_3(X5,X6,X7))
| aReductOfIn0(X7,X5,X6)
| ~ sdtmndtplgtdt0(X5,X6,X7)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) )
& ( aReductOfIn0(esk12_3(X5,X6,X7),X5,X6)
| aReductOfIn0(X7,X5,X6)
| ~ sdtmndtplgtdt0(X5,X6,X7)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) )
& ( sdtmndtplgtdt0(esk12_3(X5,X6,X7),X6,X7)
| aReductOfIn0(X7,X5,X6)
| ~ sdtmndtplgtdt0(X5,X6,X7)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) ) ),
inference(distribute,[status(thm)],[116]) ).
cnf(121,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aReductOfIn0(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[117]) ).
fof(123,plain,
! [X1] :
( ~ aRewritingSystem0(X1)
| ( ( ~ isTerminating0(X1)
| ! [X2,X3] :
( ~ aElement0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X2,X1,X3)
| iLess0(X3,X2) ) )
& ( ? [X2,X3] :
( aElement0(X2)
& aElement0(X3)
& sdtmndtplgtdt0(X2,X1,X3)
& ~ iLess0(X3,X2) )
| isTerminating0(X1) ) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(124,plain,
! [X4] :
( ~ aRewritingSystem0(X4)
| ( ( ~ isTerminating0(X4)
| ! [X5,X6] :
( ~ aElement0(X5)
| ~ aElement0(X6)
| ~ sdtmndtplgtdt0(X5,X4,X6)
| iLess0(X6,X5) ) )
& ( ? [X7,X8] :
( aElement0(X7)
& aElement0(X8)
& sdtmndtplgtdt0(X7,X4,X8)
& ~ iLess0(X8,X7) )
| isTerminating0(X4) ) ) ),
inference(variable_rename,[status(thm)],[123]) ).
fof(125,plain,
! [X4] :
( ~ aRewritingSystem0(X4)
| ( ( ~ isTerminating0(X4)
| ! [X5,X6] :
( ~ aElement0(X5)
| ~ aElement0(X6)
| ~ sdtmndtplgtdt0(X5,X4,X6)
| iLess0(X6,X5) ) )
& ( ( aElement0(esk13_1(X4))
& aElement0(esk14_1(X4))
& sdtmndtplgtdt0(esk13_1(X4),X4,esk14_1(X4))
& ~ iLess0(esk14_1(X4),esk13_1(X4)) )
| isTerminating0(X4) ) ) ),
inference(skolemize,[status(esa)],[124]) ).
fof(126,plain,
! [X4,X5,X6] :
( ( ( ~ aElement0(X5)
| ~ aElement0(X6)
| ~ sdtmndtplgtdt0(X5,X4,X6)
| iLess0(X6,X5)
| ~ isTerminating0(X4) )
& ( ( aElement0(esk13_1(X4))
& aElement0(esk14_1(X4))
& sdtmndtplgtdt0(esk13_1(X4),X4,esk14_1(X4))
& ~ iLess0(esk14_1(X4),esk13_1(X4)) )
| isTerminating0(X4) ) )
| ~ aRewritingSystem0(X4) ),
inference(shift_quantors,[status(thm)],[125]) ).
fof(127,plain,
! [X4,X5,X6] :
( ( ~ aElement0(X5)
| ~ aElement0(X6)
| ~ sdtmndtplgtdt0(X5,X4,X6)
| iLess0(X6,X5)
| ~ isTerminating0(X4)
| ~ aRewritingSystem0(X4) )
& ( aElement0(esk13_1(X4))
| isTerminating0(X4)
| ~ aRewritingSystem0(X4) )
& ( aElement0(esk14_1(X4))
| isTerminating0(X4)
| ~ aRewritingSystem0(X4) )
& ( sdtmndtplgtdt0(esk13_1(X4),X4,esk14_1(X4))
| isTerminating0(X4)
| ~ aRewritingSystem0(X4) )
& ( ~ iLess0(esk14_1(X4),esk13_1(X4))
| isTerminating0(X4)
| ~ aRewritingSystem0(X4) ) ),
inference(distribute,[status(thm)],[126]) ).
cnf(132,plain,
( iLess0(X2,X3)
| ~ aRewritingSystem0(X1)
| ~ isTerminating0(X1)
| ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[127]) ).
cnf(136,plain,
isTerminating0(xR),
inference(split_conjunct,[status(thm)],[22]) ).
fof(138,plain,
! [X1,X2,X3,X4] :
( ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X3,X2,X4)
| sdtmndtasgtdt0(X1,X2,X4) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(139,plain,
! [X5,X6,X7,X8] :
( ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X5,X6,X7)
| ~ sdtmndtasgtdt0(X7,X6,X8)
| sdtmndtasgtdt0(X5,X6,X8) ),
inference(variable_rename,[status(thm)],[138]) ).
cnf(140,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(144,plain,
( aElement0(xd)
| ~ aElement0(xw)
| ~ aRewritingSystem0(xR) ),
inference(spm,[status(thm)],[111,50,theory(equality)]) ).
cnf(145,plain,
( aElement0(xd)
| $false
| ~ aRewritingSystem0(xR) ),
inference(rw,[status(thm)],[144,53,theory(equality)]) ).
cnf(146,plain,
( aElement0(xd)
| $false
| $false ),
inference(rw,[status(thm)],[145,54,theory(equality)]) ).
cnf(147,plain,
aElement0(xd),
inference(cn,[status(thm)],[146,theory(equality)]) ).
cnf(165,plain,
( sdtmndtasgtdt0(xw,xR,xd)
| ~ aElement0(xw)
| ~ aRewritingSystem0(xR) ),
inference(spm,[status(thm)],[110,50,theory(equality)]) ).
cnf(166,plain,
( sdtmndtasgtdt0(xw,xR,xd)
| $false
| ~ aRewritingSystem0(xR) ),
inference(rw,[status(thm)],[165,53,theory(equality)]) ).
cnf(167,plain,
( sdtmndtasgtdt0(xw,xR,xd)
| $false
| $false ),
inference(rw,[status(thm)],[166,54,theory(equality)]) ).
cnf(168,plain,
sdtmndtasgtdt0(xw,xR,xd),
inference(cn,[status(thm)],[167,theory(equality)]) ).
cnf(186,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aReductOfIn0(X1,X3,X2)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2) ),
inference(csr,[status(thm)],[121,58]) ).
cnf(191,plain,
( iLess0(X1,X2)
| ~ isTerminating0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X3)
| ~ aReductOfIn0(X1,X2,X3) ),
inference(spm,[status(thm)],[132,186,theory(equality)]) ).
cnf(226,plain,
( ~ sdtmndtasgtdt0(xb,xR,esk5_3(X1,xd,X2))
| ~ aElement0(esk5_3(X1,xd,X2))
| ~ iLess0(X1,xa)
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ aElement0(xd)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[91,48,theory(equality)]) ).
cnf(313,plain,
( sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xw)
| ~ aElement0(xw)
| ~ aElement0(xd)
| ~ aElement0(X1)
| ~ aRewritingSystem0(xR) ),
inference(spm,[status(thm)],[140,168,theory(equality)]) ).
cnf(314,plain,
( sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xw)
| $false
| ~ aElement0(xd)
| ~ aElement0(X1)
| ~ aRewritingSystem0(xR) ),
inference(rw,[status(thm)],[313,53,theory(equality)]) ).
cnf(315,plain,
( sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xw)
| $false
| $false
| ~ aElement0(X1)
| ~ aRewritingSystem0(xR) ),
inference(rw,[status(thm)],[314,147,theory(equality)]) ).
cnf(316,plain,
( sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xw)
| $false
| $false
| ~ aElement0(X1)
| $false ),
inference(rw,[status(thm)],[315,54,theory(equality)]) ).
cnf(317,plain,
( sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xw)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[316,theory(equality)]) ).
cnf(921,plain,
( iLess0(X1,X2)
| ~ isTerminating0(X3)
| ~ aReductOfIn0(X1,X2,X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3) ),
inference(csr,[status(thm)],[191,58]) ).
cnf(922,plain,
( iLess0(xu,xa)
| ~ isTerminating0(xR)
| ~ aElement0(xa)
| ~ aRewritingSystem0(xR) ),
inference(spm,[status(thm)],[921,96,theory(equality)]) ).
cnf(928,plain,
( iLess0(xu,xa)
| $false
| ~ aElement0(xa)
| ~ aRewritingSystem0(xR) ),
inference(rw,[status(thm)],[922,136,theory(equality)]) ).
cnf(929,plain,
( iLess0(xu,xa)
| $false
| $false
| ~ aRewritingSystem0(xR) ),
inference(rw,[status(thm)],[928,94,theory(equality)]) ).
cnf(930,plain,
( iLess0(xu,xa)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[929,54,theory(equality)]) ).
cnf(931,plain,
iLess0(xu,xa),
inference(cn,[status(thm)],[930,theory(equality)]) ).
cnf(1188,plain,
( ~ sdtmndtasgtdt0(xb,xR,esk5_3(X1,xd,X2))
| ~ aElement0(esk5_3(X1,xd,X2))
| ~ iLess0(X1,xa)
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| $false
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(rw,[status(thm)],[226,147,theory(equality)]) ).
cnf(1189,plain,
( ~ sdtmndtasgtdt0(xb,xR,esk5_3(X1,xd,X2))
| ~ aElement0(esk5_3(X1,xd,X2))
| ~ iLess0(X1,xa)
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[1188,theory(equality)]) ).
cnf(1190,plain,
( ~ iLess0(X1,xa)
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ aElement0(esk5_3(X1,xd,xb))
| ~ aElement0(xb)
| ~ aElement0(X1)
| ~ aElement0(xd) ),
inference(spm,[status(thm)],[1189,47,theory(equality)]) ).
cnf(1191,plain,
( ~ iLess0(X1,xa)
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ aElement0(esk5_3(X1,xd,xb))
| $false
| ~ aElement0(X1)
| ~ aElement0(xd) ),
inference(rw,[status(thm)],[1190,93,theory(equality)]) ).
cnf(1192,plain,
( ~ iLess0(X1,xa)
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ aElement0(esk5_3(X1,xd,xb))
| $false
| ~ aElement0(X1)
| $false ),
inference(rw,[status(thm)],[1191,147,theory(equality)]) ).
cnf(1193,plain,
( ~ iLess0(X1,xa)
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ aElement0(esk5_3(X1,xd,xb))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[1192,theory(equality)]) ).
cnf(1194,plain,
( ~ iLess0(X1,xa)
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ aElement0(X1)
| ~ aElement0(xd)
| ~ aElement0(xb) ),
inference(spm,[status(thm)],[1193,49,theory(equality)]) ).
cnf(1195,plain,
( ~ iLess0(X1,xa)
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ aElement0(X1)
| $false
| ~ aElement0(xb) ),
inference(rw,[status(thm)],[1194,147,theory(equality)]) ).
cnf(1196,plain,
( ~ iLess0(X1,xa)
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ aElement0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[1195,93,theory(equality)]) ).
cnf(1197,plain,
( ~ iLess0(X1,xa)
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[1196,theory(equality)]) ).
cnf(1200,plain,
( ~ sdtmndtasgtdt0(xu,xR,xd)
| ~ sdtmndtasgtdt0(xu,xR,xb)
| ~ aElement0(xu) ),
inference(spm,[status(thm)],[1197,931,theory(equality)]) ).
cnf(1224,plain,
( ~ sdtmndtasgtdt0(xu,xR,xd)
| $false
| ~ aElement0(xu) ),
inference(rw,[status(thm)],[1200,95,theory(equality)]) ).
cnf(1225,plain,
( ~ sdtmndtasgtdt0(xu,xR,xd)
| $false
| $false ),
inference(rw,[status(thm)],[1224,97,theory(equality)]) ).
cnf(1226,plain,
~ sdtmndtasgtdt0(xu,xR,xd),
inference(cn,[status(thm)],[1225,theory(equality)]) ).
cnf(1280,plain,
( ~ sdtmndtasgtdt0(xu,xR,xw)
| ~ aElement0(xu) ),
inference(spm,[status(thm)],[1226,317,theory(equality)]) ).
cnf(1284,plain,
( $false
| ~ aElement0(xu) ),
inference(rw,[status(thm)],[1280,52,theory(equality)]) ).
cnf(1285,plain,
( $false
| $false ),
inference(rw,[status(thm)],[1284,97,theory(equality)]) ).
cnf(1286,plain,
$false,
inference(cn,[status(thm)],[1285,theory(equality)]) ).
cnf(1287,plain,
$false,
1286,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/COM/COM020+1.p
% --creating new selector for []
% -running prover on /tmp/tmpdcnLgJ/sel_COM020+1.p_1 with time limit 29
% -prover status Theorem
% Problem COM020+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/COM/COM020+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/COM/COM020+1.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
%
%------------------------------------------------------------------------------