TSTP Solution File: COM018+4 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : COM018+4 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 05:48:13 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 7 unt; 0 def)
% Number of atoms : 437 ( 39 equ)
% Maximal formula atoms : 96 ( 12 avg)
% Number of connectives : 591 ( 188 ~; 229 |; 169 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 83 ( 1 sgn 55 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
( aElement0(xw)
& ( xu = xw
| ( ( aReductOfIn0(xw,xu,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xu,xR)
& sdtmndtplgtdt0(X1,xR,xw) ) )
& sdtmndtplgtdt0(xu,xR,xw) ) )
& sdtmndtasgtdt0(xu,xR,xw)
& ( xv = xw
| ( ( aReductOfIn0(xw,xv,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xv,xR)
& sdtmndtplgtdt0(X1,xR,xw) ) )
& sdtmndtplgtdt0(xv,xR,xw) ) )
& sdtmndtasgtdt0(xv,xR,xw) ),
file('/tmp/tmpy89yu7/sel_COM018+4.p_1',m__799) ).
fof(5,axiom,
aRewritingSystem0(xR),
file('/tmp/tmpy89yu7/sel_COM018+4.p_1',m__656) ).
fof(7,axiom,
! [X1] :
( ( aRewritingSystem0(X1)
& isTerminating0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ? [X3] : aNormalFormOfIn0(X3,X2,X1) ) ),
file('/tmp/tmpy89yu7/sel_COM018+4.p_1',mTermNF) ).
fof(12,conjecture,
? [X1] :
( ( aElement0(X1)
& ( xw = X1
| aReductOfIn0(X1,xw,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xw,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xw,xR,X1)
| sdtmndtasgtdt0(xw,xR,X1) )
& ~ ? [X2] : aReductOfIn0(X2,X1,xR) )
| aNormalFormOfIn0(X1,xw,xR) ),
file('/tmp/tmpy89yu7/sel_COM018+4.p_1',m__) ).
fof(21,axiom,
( ! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3)
& aReductOfIn0(X2,X1,xR)
& aReductOfIn0(X3,X1,xR) )
=> ? [X4] :
( aElement0(X4)
& ( X2 = X4
| ( ( aReductOfIn0(X4,X2,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X2,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X2,xR,X4) ) )
& sdtmndtasgtdt0(X2,xR,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) ) )
& isLocallyConfluent0(xR)
& ! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( ( aReductOfIn0(X2,X1,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X1,xR)
& sdtmndtplgtdt0(X3,xR,X2) )
| sdtmndtplgtdt0(X1,xR,X2) )
=> iLess0(X2,X1) ) )
& isTerminating0(xR) ),
file('/tmp/tmpy89yu7/sel_COM018+4.p_1',m__656_01) ).
fof(24,negated_conjecture,
~ ? [X1] :
( ( aElement0(X1)
& ( xw = X1
| aReductOfIn0(X1,xw,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xw,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xw,xR,X1)
| sdtmndtasgtdt0(xw,xR,X1) )
& ~ ? [X2] : aReductOfIn0(X2,X1,xR) )
| aNormalFormOfIn0(X1,xw,xR) ),
inference(assume_negation,[status(cth)],[12]) ).
fof(322,plain,
( aElement0(xw)
& ( xu = xw
| ( ( aReductOfIn0(xw,xu,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xu,xR)
& sdtmndtplgtdt0(X2,xR,xw) ) )
& sdtmndtplgtdt0(xu,xR,xw) ) )
& sdtmndtasgtdt0(xu,xR,xw)
& ( xv = xw
| ( ( aReductOfIn0(xw,xv,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,xv,xR)
& sdtmndtplgtdt0(X3,xR,xw) ) )
& sdtmndtplgtdt0(xv,xR,xw) ) )
& sdtmndtasgtdt0(xv,xR,xw) ),
inference(variable_rename,[status(thm)],[4]) ).
fof(323,plain,
( aElement0(xw)
& ( xu = xw
| ( ( aReductOfIn0(xw,xu,xR)
| ( aElement0(esk8_0)
& aReductOfIn0(esk8_0,xu,xR)
& sdtmndtplgtdt0(esk8_0,xR,xw) ) )
& sdtmndtplgtdt0(xu,xR,xw) ) )
& sdtmndtasgtdt0(xu,xR,xw)
& ( xv = xw
| ( ( aReductOfIn0(xw,xv,xR)
| ( aElement0(esk9_0)
& aReductOfIn0(esk9_0,xv,xR)
& sdtmndtplgtdt0(esk9_0,xR,xw) ) )
& sdtmndtplgtdt0(xv,xR,xw) ) )
& sdtmndtasgtdt0(xv,xR,xw) ),
inference(skolemize,[status(esa)],[322]) ).
fof(324,plain,
( aElement0(xw)
& ( aElement0(esk8_0)
| aReductOfIn0(xw,xu,xR)
| xu = xw )
& ( aReductOfIn0(esk8_0,xu,xR)
| aReductOfIn0(xw,xu,xR)
| xu = xw )
& ( sdtmndtplgtdt0(esk8_0,xR,xw)
| aReductOfIn0(xw,xu,xR)
| xu = xw )
& ( sdtmndtplgtdt0(xu,xR,xw)
| xu = xw )
& sdtmndtasgtdt0(xu,xR,xw)
& ( aElement0(esk9_0)
| aReductOfIn0(xw,xv,xR)
| xv = xw )
& ( aReductOfIn0(esk9_0,xv,xR)
| aReductOfIn0(xw,xv,xR)
| xv = xw )
& ( sdtmndtplgtdt0(esk9_0,xR,xw)
| aReductOfIn0(xw,xv,xR)
| xv = xw )
& ( sdtmndtplgtdt0(xv,xR,xw)
| xv = xw )
& sdtmndtasgtdt0(xv,xR,xw) ),
inference(distribute,[status(thm)],[323]) ).
cnf(335,plain,
aElement0(xw),
inference(split_conjunct,[status(thm)],[324]) ).
cnf(336,plain,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[5]) ).
fof(341,plain,
! [X1] :
( ~ aRewritingSystem0(X1)
| ~ isTerminating0(X1)
| ! [X2] :
( ~ aElement0(X2)
| ? [X3] : aNormalFormOfIn0(X3,X2,X1) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(342,plain,
! [X4] :
( ~ aRewritingSystem0(X4)
| ~ isTerminating0(X4)
| ! [X5] :
( ~ aElement0(X5)
| ? [X6] : aNormalFormOfIn0(X6,X5,X4) ) ),
inference(variable_rename,[status(thm)],[341]) ).
fof(343,plain,
! [X4] :
( ~ aRewritingSystem0(X4)
| ~ isTerminating0(X4)
| ! [X5] :
( ~ aElement0(X5)
| aNormalFormOfIn0(esk10_2(X4,X5),X5,X4) ) ),
inference(skolemize,[status(esa)],[342]) ).
fof(344,plain,
! [X4,X5] :
( ~ aElement0(X5)
| aNormalFormOfIn0(esk10_2(X4,X5),X5,X4)
| ~ aRewritingSystem0(X4)
| ~ isTerminating0(X4) ),
inference(shift_quantors,[status(thm)],[343]) ).
cnf(345,plain,
( aNormalFormOfIn0(esk10_2(X1,X2),X2,X1)
| ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[344]) ).
fof(380,negated_conjecture,
! [X1] :
( ( ~ aElement0(X1)
| ( xw != X1
& ~ aReductOfIn0(X1,xw,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ aReductOfIn0(X2,xw,xR)
| ~ sdtmndtplgtdt0(X2,xR,X1) )
& ~ sdtmndtplgtdt0(xw,xR,X1)
& ~ sdtmndtasgtdt0(xw,xR,X1) )
| ? [X2] : aReductOfIn0(X2,X1,xR) )
& ~ aNormalFormOfIn0(X1,xw,xR) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(381,negated_conjecture,
! [X3] :
( ( ~ aElement0(X3)
| ( xw != X3
& ~ aReductOfIn0(X3,xw,xR)
& ! [X4] :
( ~ aElement0(X4)
| ~ aReductOfIn0(X4,xw,xR)
| ~ sdtmndtplgtdt0(X4,xR,X3) )
& ~ sdtmndtplgtdt0(xw,xR,X3)
& ~ sdtmndtasgtdt0(xw,xR,X3) )
| ? [X5] : aReductOfIn0(X5,X3,xR) )
& ~ aNormalFormOfIn0(X3,xw,xR) ),
inference(variable_rename,[status(thm)],[380]) ).
fof(382,negated_conjecture,
! [X3] :
( ( ~ aElement0(X3)
| ( xw != X3
& ~ aReductOfIn0(X3,xw,xR)
& ! [X4] :
( ~ aElement0(X4)
| ~ aReductOfIn0(X4,xw,xR)
| ~ sdtmndtplgtdt0(X4,xR,X3) )
& ~ sdtmndtplgtdt0(xw,xR,X3)
& ~ sdtmndtasgtdt0(xw,xR,X3) )
| aReductOfIn0(esk17_1(X3),X3,xR) )
& ~ aNormalFormOfIn0(X3,xw,xR) ),
inference(skolemize,[status(esa)],[381]) ).
fof(383,negated_conjecture,
! [X3,X4] :
( ( ( ( ~ aElement0(X4)
| ~ aReductOfIn0(X4,xw,xR)
| ~ sdtmndtplgtdt0(X4,xR,X3) )
& xw != X3
& ~ aReductOfIn0(X3,xw,xR)
& ~ sdtmndtplgtdt0(xw,xR,X3)
& ~ sdtmndtasgtdt0(xw,xR,X3) )
| ~ aElement0(X3)
| aReductOfIn0(esk17_1(X3),X3,xR) )
& ~ aNormalFormOfIn0(X3,xw,xR) ),
inference(shift_quantors,[status(thm)],[382]) ).
fof(384,negated_conjecture,
! [X3,X4] :
( ( ~ aElement0(X4)
| ~ aReductOfIn0(X4,xw,xR)
| ~ sdtmndtplgtdt0(X4,xR,X3)
| ~ aElement0(X3)
| aReductOfIn0(esk17_1(X3),X3,xR) )
& ( xw != X3
| ~ aElement0(X3)
| aReductOfIn0(esk17_1(X3),X3,xR) )
& ( ~ aReductOfIn0(X3,xw,xR)
| ~ aElement0(X3)
| aReductOfIn0(esk17_1(X3),X3,xR) )
& ( ~ sdtmndtplgtdt0(xw,xR,X3)
| ~ aElement0(X3)
| aReductOfIn0(esk17_1(X3),X3,xR) )
& ( ~ sdtmndtasgtdt0(xw,xR,X3)
| ~ aElement0(X3)
| aReductOfIn0(esk17_1(X3),X3,xR) )
& ~ aNormalFormOfIn0(X3,xw,xR) ),
inference(distribute,[status(thm)],[383]) ).
cnf(385,negated_conjecture,
~ aNormalFormOfIn0(X1,xw,xR),
inference(split_conjunct,[status(thm)],[384]) ).
fof(449,plain,
( ! [X1,X2,X3] :
( ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& ( X2 = X4
| ( ( aReductOfIn0(X4,X2,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X2,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X2,xR,X4) ) )
& sdtmndtasgtdt0(X2,xR,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) ) )
& isLocallyConfluent0(xR)
& ! [X1,X2] :
( ~ aElement0(X1)
| ~ aElement0(X2)
| ( ~ aReductOfIn0(X2,X1,xR)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,X1,xR)
| ~ sdtmndtplgtdt0(X3,xR,X2) )
& ~ sdtmndtplgtdt0(X1,xR,X2) )
| iLess0(X2,X1) )
& isTerminating0(xR) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(450,plain,
( ! [X6,X7,X8] :
( ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR)
| ? [X9] :
( aElement0(X9)
& ( X7 = X9
| ( ( aReductOfIn0(X9,X7,xR)
| ? [X10] :
( aElement0(X10)
& aReductOfIn0(X10,X7,xR)
& sdtmndtplgtdt0(X10,xR,X9) ) )
& sdtmndtplgtdt0(X7,xR,X9) ) )
& sdtmndtasgtdt0(X7,xR,X9)
& ( X8 = X9
| ( ( aReductOfIn0(X9,X8,xR)
| ? [X11] :
( aElement0(X11)
& aReductOfIn0(X11,X8,xR)
& sdtmndtplgtdt0(X11,xR,X9) ) )
& sdtmndtplgtdt0(X8,xR,X9) ) )
& sdtmndtasgtdt0(X8,xR,X9) ) )
& isLocallyConfluent0(xR)
& ! [X12,X13] :
( ~ aElement0(X12)
| ~ aElement0(X13)
| ( ~ aReductOfIn0(X13,X12,xR)
& ! [X14] :
( ~ aElement0(X14)
| ~ aReductOfIn0(X14,X12,xR)
| ~ sdtmndtplgtdt0(X14,xR,X13) )
& ~ sdtmndtplgtdt0(X12,xR,X13) )
| iLess0(X13,X12) )
& isTerminating0(xR) ),
inference(variable_rename,[status(thm)],[449]) ).
fof(451,plain,
( ! [X6,X7,X8] :
( ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR)
| ( aElement0(esk24_3(X6,X7,X8))
& ( X7 = esk24_3(X6,X7,X8)
| ( ( aReductOfIn0(esk24_3(X6,X7,X8),X7,xR)
| ( aElement0(esk25_3(X6,X7,X8))
& aReductOfIn0(esk25_3(X6,X7,X8),X7,xR)
& sdtmndtplgtdt0(esk25_3(X6,X7,X8),xR,esk24_3(X6,X7,X8)) ) )
& sdtmndtplgtdt0(X7,xR,esk24_3(X6,X7,X8)) ) )
& sdtmndtasgtdt0(X7,xR,esk24_3(X6,X7,X8))
& ( X8 = esk24_3(X6,X7,X8)
| ( ( aReductOfIn0(esk24_3(X6,X7,X8),X8,xR)
| ( aElement0(esk26_3(X6,X7,X8))
& aReductOfIn0(esk26_3(X6,X7,X8),X8,xR)
& sdtmndtplgtdt0(esk26_3(X6,X7,X8),xR,esk24_3(X6,X7,X8)) ) )
& sdtmndtplgtdt0(X8,xR,esk24_3(X6,X7,X8)) ) )
& sdtmndtasgtdt0(X8,xR,esk24_3(X6,X7,X8)) ) )
& isLocallyConfluent0(xR)
& ! [X12,X13] :
( ~ aElement0(X12)
| ~ aElement0(X13)
| ( ~ aReductOfIn0(X13,X12,xR)
& ! [X14] :
( ~ aElement0(X14)
| ~ aReductOfIn0(X14,X12,xR)
| ~ sdtmndtplgtdt0(X14,xR,X13) )
& ~ sdtmndtplgtdt0(X12,xR,X13) )
| iLess0(X13,X12) )
& isTerminating0(xR) ),
inference(skolemize,[status(esa)],[450]) ).
fof(452,plain,
! [X6,X7,X8,X12,X13,X14] :
( ( ( ( ~ aElement0(X14)
| ~ aReductOfIn0(X14,X12,xR)
| ~ sdtmndtplgtdt0(X14,xR,X13) )
& ~ aReductOfIn0(X13,X12,xR)
& ~ sdtmndtplgtdt0(X12,xR,X13) )
| iLess0(X13,X12)
| ~ aElement0(X12)
| ~ aElement0(X13) )
& ( ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR)
| ( aElement0(esk24_3(X6,X7,X8))
& ( X7 = esk24_3(X6,X7,X8)
| ( ( aReductOfIn0(esk24_3(X6,X7,X8),X7,xR)
| ( aElement0(esk25_3(X6,X7,X8))
& aReductOfIn0(esk25_3(X6,X7,X8),X7,xR)
& sdtmndtplgtdt0(esk25_3(X6,X7,X8),xR,esk24_3(X6,X7,X8)) ) )
& sdtmndtplgtdt0(X7,xR,esk24_3(X6,X7,X8)) ) )
& sdtmndtasgtdt0(X7,xR,esk24_3(X6,X7,X8))
& ( X8 = esk24_3(X6,X7,X8)
| ( ( aReductOfIn0(esk24_3(X6,X7,X8),X8,xR)
| ( aElement0(esk26_3(X6,X7,X8))
& aReductOfIn0(esk26_3(X6,X7,X8),X8,xR)
& sdtmndtplgtdt0(esk26_3(X6,X7,X8),xR,esk24_3(X6,X7,X8)) ) )
& sdtmndtplgtdt0(X8,xR,esk24_3(X6,X7,X8)) ) )
& sdtmndtasgtdt0(X8,xR,esk24_3(X6,X7,X8)) ) )
& isLocallyConfluent0(xR)
& isTerminating0(xR) ),
inference(shift_quantors,[status(thm)],[451]) ).
fof(453,plain,
! [X6,X7,X8,X12,X13,X14] :
( ( ~ aElement0(X14)
| ~ aReductOfIn0(X14,X12,xR)
| ~ sdtmndtplgtdt0(X14,xR,X13)
| iLess0(X13,X12)
| ~ aElement0(X12)
| ~ aElement0(X13) )
& ( ~ aReductOfIn0(X13,X12,xR)
| iLess0(X13,X12)
| ~ aElement0(X12)
| ~ aElement0(X13) )
& ( ~ sdtmndtplgtdt0(X12,xR,X13)
| iLess0(X13,X12)
| ~ aElement0(X12)
| ~ aElement0(X13) )
& ( aElement0(esk24_3(X6,X7,X8))
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk25_3(X6,X7,X8))
| aReductOfIn0(esk24_3(X6,X7,X8),X7,xR)
| X7 = esk24_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aReductOfIn0(esk25_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk24_3(X6,X7,X8),X7,xR)
| X7 = esk24_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(esk25_3(X6,X7,X8),xR,esk24_3(X6,X7,X8))
| aReductOfIn0(esk24_3(X6,X7,X8),X7,xR)
| X7 = esk24_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(X7,xR,esk24_3(X6,X7,X8))
| X7 = esk24_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtasgtdt0(X7,xR,esk24_3(X6,X7,X8))
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk26_3(X6,X7,X8))
| aReductOfIn0(esk24_3(X6,X7,X8),X8,xR)
| X8 = esk24_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aReductOfIn0(esk26_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk24_3(X6,X7,X8),X8,xR)
| X8 = esk24_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(esk26_3(X6,X7,X8),xR,esk24_3(X6,X7,X8))
| aReductOfIn0(esk24_3(X6,X7,X8),X8,xR)
| X8 = esk24_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(X8,xR,esk24_3(X6,X7,X8))
| X8 = esk24_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtasgtdt0(X8,xR,esk24_3(X6,X7,X8))
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& isLocallyConfluent0(xR)
& isTerminating0(xR) ),
inference(distribute,[status(thm)],[452]) ).
cnf(454,plain,
isTerminating0(xR),
inference(split_conjunct,[status(thm)],[453]) ).
cnf(862,negated_conjecture,
( ~ isTerminating0(xR)
| ~ aElement0(xw)
| ~ aRewritingSystem0(xR) ),
inference(spm,[status(thm)],[385,345,theory(equality)]) ).
cnf(866,negated_conjecture,
( $false
| ~ aElement0(xw)
| ~ aRewritingSystem0(xR) ),
inference(rw,[status(thm)],[862,454,theory(equality)]) ).
cnf(867,negated_conjecture,
( $false
| $false
| ~ aRewritingSystem0(xR) ),
inference(rw,[status(thm)],[866,335,theory(equality)]) ).
cnf(868,negated_conjecture,
( $false
| $false
| $false ),
inference(rw,[status(thm)],[867,336,theory(equality)]) ).
cnf(869,negated_conjecture,
$false,
inference(cn,[status(thm)],[868,theory(equality)]) ).
cnf(870,negated_conjecture,
$false,
869,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/COM/COM018+4.p
% --creating new selector for []
% -running prover on /tmp/tmpy89yu7/sel_COM018+4.p_1 with time limit 29
% -prover status Theorem
% Problem COM018+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/COM/COM018+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/COM/COM018+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
%
%------------------------------------------------------------------------------