%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : COM013+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 05:49:58 EST 2010
% Result : Theorem 0.63s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 73
% Number of leaves : 9
% Syntax : Number of formulae : 164 ( 8 unt; 0 def)
% Number of atoms : 993 ( 39 equ)
% Maximal formula atoms : 30 ( 6 avg)
% Number of connectives : 1472 ( 643 ~; 716 |; 89 &)
% ( 4 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 345 ( 2 sgn 124 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3,X4] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3)
& aElement0(X4) )
=> ( ( sdtmndtplgtdt0(X1,X2,X3)
& sdtmndtplgtdt0(X3,X2,X4) )
=> sdtmndtplgtdt0(X1,X2,X4) ) ),
file('/tmp/tmp88wMLs/sel_COM013+1.p_1',mTCTrans) ).
fof(2,axiom,
( aRewritingSystem0(xR)
& isTerminating0(xR) ),
file('/tmp/tmp88wMLs/sel_COM013+1.p_1',m__587) ).
fof(3,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/tmp88wMLs/sel_COM013+1.p_1',mNFRDef) ).
fof(4,axiom,
! [X1] :
( aRewritingSystem0(X1)
=> ( isTerminating0(X1)
<=> ! [X2,X3] :
( ( aElement0(X2)
& aElement0(X3) )
=> ( sdtmndtplgtdt0(X2,X1,X3)
=> iLess0(X3,X2) ) ) ) ),
file('/tmp/tmp88wMLs/sel_COM013+1.p_1',mTermin) ).
fof(6,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/tmp88wMLs/sel_COM013+1.p_1',mTCDef) ).
fof(9,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aReductOfIn0(X3,X1,X2)
=> aElement0(X3) ) ),
file('/tmp/tmp88wMLs/sel_COM013+1.p_1',mReduct) ).
fof(10,conjecture,
! [X1] :
( aElement0(X1)
=> ( ! [X2] :
( aElement0(X2)
=> ( iLess0(X2,X1)
=> ? [X3] : aNormalFormOfIn0(X3,X2,xR) ) )
=> ? [X2] : aNormalFormOfIn0(X2,X1,xR) ) ),
file('/tmp/tmp88wMLs/sel_COM013+1.p_1',m__) ).
fof(12,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/tmp88wMLs/sel_COM013+1.p_1',mTCRTrans) ).
fof(14,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtasgtdt0(X1,X2,X3)
<=> ( X1 = X3
| sdtmndtplgtdt0(X1,X2,X3) ) ) ),
file('/tmp/tmp88wMLs/sel_COM013+1.p_1',mTCRDef) ).
fof(16,negated_conjecture,
~ ! [X1] :
( aElement0(X1)
=> ( ! [X2] :
( aElement0(X2)
=> ( iLess0(X2,X1)
=> ? [X3] : aNormalFormOfIn0(X3,X2,xR) ) )
=> ? [X2] : aNormalFormOfIn0(X2,X1,xR) ) ),
inference(assume_negation,[status(cth)],[10]) ).
fof(17,plain,
! [X1,X2,X3,X4] :
( ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X3,X2,X4)
| sdtmndtplgtdt0(X1,X2,X4) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(18,plain,
! [X5,X6,X7,X8] :
( ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X5,X6,X7)
| ~ sdtmndtplgtdt0(X7,X6,X8)
| sdtmndtplgtdt0(X5,X6,X8) ),
inference(variable_rename,[status(thm)],[17]) ).
cnf(19,plain,
( sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,X2,X3)
| ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(20,plain,
isTerminating0(xR),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(21,plain,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[2]) ).
fof(22,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)],[3]) ).
fof(23,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)],[22]) ).
fof(24,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(esk1_3(X5,X6,X7),X7,X6)
| aNormalFormOfIn0(X7,X5,X6) ) ) ),
inference(skolemize,[status(esa)],[23]) ).
fof(25,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(esk1_3(X5,X6,X7),X7,X6)
| aNormalFormOfIn0(X7,X5,X6) ) )
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) ),
inference(shift_quantors,[status(thm)],[24]) ).
fof(26,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(esk1_3(X5,X6,X7),X7,X6)
| aNormalFormOfIn0(X7,X5,X6)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) ) ),
inference(distribute,[status(thm)],[25]) ).
cnf(27,plain,
( aNormalFormOfIn0(X3,X2,X1)
| aReductOfIn0(esk1_3(X2,X1,X3),X3,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(28,plain,
( sdtmndtasgtdt0(X2,X1,X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(29,plain,
( aElement0(X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(30,plain,
( ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aReductOfIn0(X4,X3,X1) ),
inference(split_conjunct,[status(thm)],[26]) ).
fof(31,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)],[4]) ).
fof(32,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)],[31]) ).
fof(33,plain,
! [X4] :
( ~ aRewritingSystem0(X4)
| ( ( ~ isTerminating0(X4)
| ! [X5,X6] :
( ~ aElement0(X5)
| ~ aElement0(X6)
| ~ sdtmndtplgtdt0(X5,X4,X6)
| iLess0(X6,X5) ) )
& ( ( aElement0(esk2_1(X4))
& aElement0(esk3_1(X4))
& sdtmndtplgtdt0(esk2_1(X4),X4,esk3_1(X4))
& ~ iLess0(esk3_1(X4),esk2_1(X4)) )
| isTerminating0(X4) ) ) ),
inference(skolemize,[status(esa)],[32]) ).
fof(34,plain,
! [X4,X5,X6] :
( ( ( ~ aElement0(X5)
| ~ aElement0(X6)
| ~ sdtmndtplgtdt0(X5,X4,X6)
| iLess0(X6,X5)
| ~ isTerminating0(X4) )
& ( ( aElement0(esk2_1(X4))
& aElement0(esk3_1(X4))
& sdtmndtplgtdt0(esk2_1(X4),X4,esk3_1(X4))
& ~ iLess0(esk3_1(X4),esk2_1(X4)) )
| isTerminating0(X4) ) )
| ~ aRewritingSystem0(X4) ),
inference(shift_quantors,[status(thm)],[33]) ).
fof(35,plain,
! [X4,X5,X6] :
( ( ~ aElement0(X5)
| ~ aElement0(X6)
| ~ sdtmndtplgtdt0(X5,X4,X6)
| iLess0(X6,X5)
| ~ isTerminating0(X4)
| ~ aRewritingSystem0(X4) )
& ( aElement0(esk2_1(X4))
| isTerminating0(X4)
| ~ aRewritingSystem0(X4) )
& ( aElement0(esk3_1(X4))
| isTerminating0(X4)
| ~ aRewritingSystem0(X4) )
& ( sdtmndtplgtdt0(esk2_1(X4),X4,esk3_1(X4))
| isTerminating0(X4)
| ~ aRewritingSystem0(X4) )
& ( ~ iLess0(esk3_1(X4),esk2_1(X4))
| isTerminating0(X4)
| ~ aRewritingSystem0(X4) ) ),
inference(distribute,[status(thm)],[34]) ).
cnf(40,plain,
( iLess0(X2,X3)
| ~ aRewritingSystem0(X1)
| ~ isTerminating0(X1)
| ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[35]) ).
fof(55,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)],[6]) ).
fof(56,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)],[55]) ).
fof(57,plain,
! [X5,X6,X7] :
( ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7)
| ( ( ~ sdtmndtplgtdt0(X5,X6,X7)
| aReductOfIn0(X7,X5,X6)
| ( aElement0(esk8_3(X5,X6,X7))
& aReductOfIn0(esk8_3(X5,X6,X7),X5,X6)
& sdtmndtplgtdt0(esk8_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)],[56]) ).
fof(58,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(esk8_3(X5,X6,X7))
& aReductOfIn0(esk8_3(X5,X6,X7),X5,X6)
& sdtmndtplgtdt0(esk8_3(X5,X6,X7),X6,X7) ) ) )
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) ),
inference(shift_quantors,[status(thm)],[57]) ).
fof(59,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(esk8_3(X5,X6,X7))
| aReductOfIn0(X7,X5,X6)
| ~ sdtmndtplgtdt0(X5,X6,X7)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) )
& ( aReductOfIn0(esk8_3(X5,X6,X7),X5,X6)
| aReductOfIn0(X7,X5,X6)
| ~ sdtmndtplgtdt0(X5,X6,X7)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) )
& ( sdtmndtplgtdt0(esk8_3(X5,X6,X7),X6,X7)
| aReductOfIn0(X7,X5,X6)
| ~ sdtmndtplgtdt0(X5,X6,X7)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) ) ),
inference(distribute,[status(thm)],[58]) ).
cnf(60,plain,
( aReductOfIn0(X1,X3,X2)
| sdtmndtplgtdt0(esk8_3(X3,X2,X1),X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[59]) ).
cnf(61,plain,
( aReductOfIn0(X1,X3,X2)
| aReductOfIn0(esk8_3(X3,X2,X1),X3,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[59]) ).
cnf(62,plain,
( aReductOfIn0(X1,X3,X2)
| aElement0(esk8_3(X3,X2,X1))
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[59]) ).
cnf(63,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aReductOfIn0(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[59]) ).
fof(82,plain,
! [X1,X2] :
( ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ! [X3] :
( ~ aReductOfIn0(X3,X1,X2)
| aElement0(X3) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(83,plain,
! [X4,X5] :
( ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ! [X6] :
( ~ aReductOfIn0(X6,X4,X5)
| aElement0(X6) ) ),
inference(variable_rename,[status(thm)],[82]) ).
fof(84,plain,
! [X4,X5,X6] :
( ~ aReductOfIn0(X6,X4,X5)
| aElement0(X6)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X5) ),
inference(shift_quantors,[status(thm)],[83]) ).
cnf(85,plain,
( aElement0(X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aReductOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[84]) ).
fof(86,negated_conjecture,
? [X1] :
( aElement0(X1)
& ! [X2] :
( ~ aElement0(X2)
| ~ iLess0(X2,X1)
| ? [X3] : aNormalFormOfIn0(X3,X2,xR) )
& ! [X2] : ~ aNormalFormOfIn0(X2,X1,xR) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(87,negated_conjecture,
? [X4] :
( aElement0(X4)
& ! [X5] :
( ~ aElement0(X5)
| ~ iLess0(X5,X4)
| ? [X6] : aNormalFormOfIn0(X6,X5,xR) )
& ! [X7] : ~ aNormalFormOfIn0(X7,X4,xR) ),
inference(variable_rename,[status(thm)],[86]) ).
fof(88,negated_conjecture,
( aElement0(esk13_0)
& ! [X5] :
( ~ aElement0(X5)
| ~ iLess0(X5,esk13_0)
| aNormalFormOfIn0(esk14_1(X5),X5,xR) )
& ! [X7] : ~ aNormalFormOfIn0(X7,esk13_0,xR) ),
inference(skolemize,[status(esa)],[87]) ).
fof(89,negated_conjecture,
! [X5,X7] :
( ~ aNormalFormOfIn0(X7,esk13_0,xR)
& ( ~ aElement0(X5)
| ~ iLess0(X5,esk13_0)
| aNormalFormOfIn0(esk14_1(X5),X5,xR) )
& aElement0(esk13_0) ),
inference(shift_quantors,[status(thm)],[88]) ).
cnf(90,negated_conjecture,
aElement0(esk13_0),
inference(split_conjunct,[status(thm)],[89]) ).
cnf(91,negated_conjecture,
( aNormalFormOfIn0(esk14_1(X1),X1,xR)
| ~ iLess0(X1,esk13_0)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[89]) ).
cnf(92,negated_conjecture,
~ aNormalFormOfIn0(X1,esk13_0,xR),
inference(split_conjunct,[status(thm)],[89]) ).
fof(96,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)],[12]) ).
fof(97,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)],[96]) ).
cnf(98,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)],[97]) ).
fof(102,plain,
! [X1,X2,X3] :
( ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ( ( ~ sdtmndtasgtdt0(X1,X2,X3)
| X1 = X3
| sdtmndtplgtdt0(X1,X2,X3) )
& ( ( X1 != X3
& ~ sdtmndtplgtdt0(X1,X2,X3) )
| sdtmndtasgtdt0(X1,X2,X3) ) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(103,plain,
! [X4,X5,X6] :
( ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aElement0(X6)
| ( ( ~ sdtmndtasgtdt0(X4,X5,X6)
| X4 = X6
| sdtmndtplgtdt0(X4,X5,X6) )
& ( ( X4 != X6
& ~ sdtmndtplgtdt0(X4,X5,X6) )
| sdtmndtasgtdt0(X4,X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[102]) ).
fof(104,plain,
! [X4,X5,X6] :
( ( ~ sdtmndtasgtdt0(X4,X5,X6)
| X4 = X6
| sdtmndtplgtdt0(X4,X5,X6)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aElement0(X6) )
& ( X4 != X6
| sdtmndtasgtdt0(X4,X5,X6)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aElement0(X6) )
& ( ~ sdtmndtplgtdt0(X4,X5,X6)
| sdtmndtasgtdt0(X4,X5,X6)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[103]) ).
cnf(105,plain,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[104]) ).
cnf(106,plain,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[104]) ).
cnf(107,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| X3 = X1
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[104]) ).
cnf(111,negated_conjecture,
( ~ iLess0(esk13_0,esk13_0)
| ~ aElement0(esk13_0) ),
inference(spm,[status(thm)],[92,91,theory(equality)]) ).
cnf(112,negated_conjecture,
( ~ iLess0(esk13_0,esk13_0)
| $false ),
inference(rw,[status(thm)],[111,90,theory(equality)]) ).
cnf(113,negated_conjecture,
~ iLess0(esk13_0,esk13_0),
inference(cn,[status(thm)],[112,theory(equality)]) ).
cnf(114,negated_conjecture,
( aElement0(esk14_1(X1))
| ~ aRewritingSystem0(xR)
| ~ aElement0(X1)
| ~ iLess0(X1,esk13_0) ),
inference(spm,[status(thm)],[29,91,theory(equality)]) ).
cnf(115,negated_conjecture,
( aElement0(esk14_1(X1))
| $false
| ~ aElement0(X1)
| ~ iLess0(X1,esk13_0) ),
inference(rw,[status(thm)],[114,21,theory(equality)]) ).
cnf(116,negated_conjecture,
( aElement0(esk14_1(X1))
| ~ aElement0(X1)
| ~ iLess0(X1,esk13_0) ),
inference(cn,[status(thm)],[115,theory(equality)]) ).
cnf(117,plain,
( sdtmndtasgtdt0(X1,X2,X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(er,[status(thm)],[106,theory(equality)]) ).
cnf(118,negated_conjecture,
( sdtmndtasgtdt0(X1,xR,esk14_1(X1))
| ~ aRewritingSystem0(xR)
| ~ aElement0(X1)
| ~ iLess0(X1,esk13_0) ),
inference(spm,[status(thm)],[28,91,theory(equality)]) ).
cnf(119,negated_conjecture,
( sdtmndtasgtdt0(X1,xR,esk14_1(X1))
| $false
| ~ aElement0(X1)
| ~ iLess0(X1,esk13_0) ),
inference(rw,[status(thm)],[118,21,theory(equality)]) ).
cnf(120,negated_conjecture,
( sdtmndtasgtdt0(X1,xR,esk14_1(X1))
| ~ aElement0(X1)
| ~ iLess0(X1,esk13_0) ),
inference(cn,[status(thm)],[119,theory(equality)]) ).
cnf(125,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aReductOfIn0(X1,X3,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(csr,[status(thm)],[63,85]) ).
cnf(127,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aReductOfIn0(X3,X1,X2) ),
inference(spm,[status(thm)],[105,125,theory(equality)]) ).
cnf(129,plain,
( iLess0(X1,X2)
| ~ isTerminating0(X3)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,X2,X3) ),
inference(spm,[status(thm)],[40,125,theory(equality)]) ).
cnf(137,plain,
( sdtmndtplgtdt0(X1,X2,X3)
| X3 = X4
| ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X4,X2,X3) ),
inference(spm,[status(thm)],[19,107,theory(equality)]) ).
cnf(140,plain,
( aElement0(esk1_3(X1,X2,X3))
| aNormalFormOfIn0(X3,X1,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[85,27,theory(equality)]) ).
cnf(141,plain,
( aNormalFormOfIn0(X3,X1,X2)
| ~ aNormalFormOfIn0(X3,X4,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X4)
| ~ sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[30,27,theory(equality)]) ).
cnf(147,plain,
( aReductOfIn0(X3,X1,X2)
| ~ aNormalFormOfIn0(X1,X4,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X4)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aElement0(X3) ),
inference(spm,[status(thm)],[30,61,theory(equality)]) ).
cnf(167,plain,
( aNormalFormOfIn0(X3,X1,X2)
| ~ sdtmndtasgtdt0(X1,X2,X3)
| ~ aNormalFormOfIn0(X3,X4,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ aElement0(X4) ),
inference(csr,[status(thm)],[141,29]) ).
cnf(168,negated_conjecture,
( aNormalFormOfIn0(esk14_1(X1),X2,xR)
| ~ sdtmndtasgtdt0(X2,xR,esk14_1(X1))
| ~ aRewritingSystem0(xR)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ iLess0(X1,esk13_0) ),
inference(spm,[status(thm)],[167,91,theory(equality)]) ).
cnf(169,negated_conjecture,
( aNormalFormOfIn0(esk14_1(X1),X2,xR)
| ~ sdtmndtasgtdt0(X2,xR,esk14_1(X1))
| $false
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ iLess0(X1,esk13_0) ),
inference(rw,[status(thm)],[168,21,theory(equality)]) ).
cnf(170,negated_conjecture,
( aNormalFormOfIn0(esk14_1(X1),X2,xR)
| ~ sdtmndtasgtdt0(X2,xR,esk14_1(X1))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ iLess0(X1,esk13_0) ),
inference(cn,[status(thm)],[169,theory(equality)]) ).
cnf(171,negated_conjecture,
( ~ iLess0(X1,esk13_0)
| ~ sdtmndtasgtdt0(esk13_0,xR,esk14_1(X1))
| ~ aElement0(X1)
| ~ aElement0(esk13_0) ),
inference(spm,[status(thm)],[92,170,theory(equality)]) ).
cnf(175,negated_conjecture,
( ~ iLess0(X1,esk13_0)
| ~ sdtmndtasgtdt0(esk13_0,xR,esk14_1(X1))
| ~ aElement0(X1)
| $false ),
inference(rw,[status(thm)],[171,90,theory(equality)]) ).
cnf(176,negated_conjecture,
( ~ iLess0(X1,esk13_0)
| ~ sdtmndtasgtdt0(esk13_0,xR,esk14_1(X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[175,theory(equality)]) ).
cnf(185,negated_conjecture,
( sdtmndtasgtdt0(X1,xR,esk14_1(X2))
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X2)
| ~ aElement0(esk14_1(X2))
| ~ aElement0(X1)
| ~ iLess0(X2,esk13_0) ),
inference(spm,[status(thm)],[98,120,theory(equality)]) ).
cnf(190,negated_conjecture,
( sdtmndtasgtdt0(X1,xR,esk14_1(X2))
| ~ sdtmndtasgtdt0(X1,xR,X2)
| $false
| ~ aElement0(X2)
| ~ aElement0(esk14_1(X2))
| ~ aElement0(X1)
| ~ iLess0(X2,esk13_0) ),
inference(rw,[status(thm)],[185,21,theory(equality)]) ).
cnf(191,negated_conjecture,
( sdtmndtasgtdt0(X1,xR,esk14_1(X2))
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ aElement0(X2)
| ~ aElement0(esk14_1(X2))
| ~ aElement0(X1)
| ~ iLess0(X2,esk13_0) ),
inference(cn,[status(thm)],[190,theory(equality)]) ).
cnf(202,plain,
( aReductOfIn0(X3,X1,X2)
| ~ aNormalFormOfIn0(X1,X4,X2)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aElement0(X4) ),
inference(csr,[status(thm)],[147,29]) ).
cnf(203,plain,
( ~ aNormalFormOfIn0(X1,X4,X2)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(csr,[status(thm)],[202,30]) ).
cnf(204,negated_conjecture,
( ~ sdtmndtplgtdt0(esk14_1(X1),xR,X2)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ iLess0(X1,esk13_0) ),
inference(spm,[status(thm)],[203,91,theory(equality)]) ).
cnf(206,negated_conjecture,
( ~ sdtmndtplgtdt0(esk14_1(X1),xR,X2)
| $false
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ iLess0(X1,esk13_0) ),
inference(rw,[status(thm)],[204,21,theory(equality)]) ).
cnf(207,negated_conjecture,
( ~ sdtmndtplgtdt0(esk14_1(X1),xR,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ iLess0(X1,esk13_0) ),
inference(cn,[status(thm)],[206,theory(equality)]) ).
cnf(279,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ aReductOfIn0(X3,X1,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[127,85]) ).
cnf(282,plain,
( sdtmndtasgtdt0(X1,X2,esk1_3(X3,X2,X1))
| aNormalFormOfIn0(X1,X3,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X3) ),
inference(spm,[status(thm)],[279,27,theory(equality)]) ).
cnf(290,negated_conjecture,
( sdtmndtasgtdt0(X1,xR,esk14_1(X2))
| ~ iLess0(X2,esk13_0)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[191,116]) ).
cnf(294,negated_conjecture,
( ~ iLess0(X1,esk13_0)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk13_0,xR,X1)
| ~ aElement0(esk13_0) ),
inference(spm,[status(thm)],[176,290,theory(equality)]) ).
cnf(303,negated_conjecture,
( ~ iLess0(X1,esk13_0)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk13_0,xR,X1)
| $false ),
inference(rw,[status(thm)],[294,90,theory(equality)]) ).
cnf(304,negated_conjecture,
( ~ iLess0(X1,esk13_0)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk13_0,xR,X1) ),
inference(cn,[status(thm)],[303,theory(equality)]) ).
cnf(309,plain,
( iLess0(X1,X2)
| ~ aReductOfIn0(X1,X2,X3)
| ~ isTerminating0(X3)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[129,85]) ).
cnf(312,plain,
( iLess0(esk1_3(X1,X2,X3),X3)
| aNormalFormOfIn0(X3,X1,X2)
| ~ isTerminating0(X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[309,27,theory(equality)]) ).
cnf(313,plain,
( iLess0(esk8_3(X1,X2,X3),X1)
| aReductOfIn0(X3,X1,X2)
| ~ isTerminating0(X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X3) ),
inference(spm,[status(thm)],[309,61,theory(equality)]) ).
cnf(516,negated_conjecture,
( esk14_1(X1) = X1
| sdtmndtplgtdt0(X2,xR,esk14_1(X1))
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X1)
| ~ aElement0(esk14_1(X1))
| ~ aElement0(X2)
| ~ iLess0(X1,esk13_0) ),
inference(spm,[status(thm)],[137,120,theory(equality)]) ).
cnf(522,negated_conjecture,
( esk14_1(X1) = X1
| sdtmndtplgtdt0(X2,xR,esk14_1(X1))
| ~ sdtmndtplgtdt0(X2,xR,X1)
| $false
| ~ aElement0(X1)
| ~ aElement0(esk14_1(X1))
| ~ aElement0(X2)
| ~ iLess0(X1,esk13_0) ),
inference(rw,[status(thm)],[516,21,theory(equality)]) ).
cnf(523,negated_conjecture,
( esk14_1(X1) = X1
| sdtmndtplgtdt0(X2,xR,esk14_1(X1))
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aElement0(X1)
| ~ aElement0(esk14_1(X1))
| ~ aElement0(X2)
| ~ iLess0(X1,esk13_0) ),
inference(cn,[status(thm)],[522,theory(equality)]) ).
cnf(538,negated_conjecture,
( esk14_1(X1) = X1
| sdtmndtplgtdt0(X2,xR,esk14_1(X1))
| ~ iLess0(X1,esk13_0)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[523,116]) ).
cnf(539,negated_conjecture,
( sdtmndtasgtdt0(X1,xR,esk14_1(X2))
| esk14_1(X2) = X2
| ~ aRewritingSystem0(xR)
| ~ aElement0(X1)
| ~ aElement0(esk14_1(X2))
| ~ iLess0(X2,esk13_0)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ aElement0(X2) ),
inference(spm,[status(thm)],[105,538,theory(equality)]) ).
cnf(546,negated_conjecture,
( sdtmndtasgtdt0(X1,xR,esk14_1(X2))
| esk14_1(X2) = X2
| $false
| ~ aElement0(X1)
| ~ aElement0(esk14_1(X2))
| ~ iLess0(X2,esk13_0)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ aElement0(X2) ),
inference(rw,[status(thm)],[539,21,theory(equality)]) ).
cnf(547,negated_conjecture,
( sdtmndtasgtdt0(X1,xR,esk14_1(X2))
| esk14_1(X2) = X2
| ~ aElement0(X1)
| ~ aElement0(esk14_1(X2))
| ~ iLess0(X2,esk13_0)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[546,theory(equality)]) ).
cnf(603,negated_conjecture,
( esk14_1(X2) = X2
| sdtmndtasgtdt0(X1,xR,esk14_1(X2))
| ~ iLess0(X2,esk13_0)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[547,116]) ).
cnf(607,negated_conjecture,
( esk14_1(X1) = X1
| ~ iLess0(X1,esk13_0)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(esk13_0,xR,X1)
| ~ aElement0(esk13_0) ),
inference(spm,[status(thm)],[176,603,theory(equality)]) ).
cnf(619,negated_conjecture,
( esk14_1(X1) = X1
| ~ iLess0(X1,esk13_0)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(esk13_0,xR,X1)
| $false ),
inference(rw,[status(thm)],[607,90,theory(equality)]) ).
cnf(620,negated_conjecture,
( esk14_1(X1) = X1
| ~ iLess0(X1,esk13_0)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(esk13_0,xR,X1) ),
inference(cn,[status(thm)],[619,theory(equality)]) ).
cnf(631,negated_conjecture,
( ~ iLess0(X1,esk13_0)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(esk13_0,xR,X1) ),
inference(spm,[status(thm)],[207,620,theory(equality)]) ).
cnf(725,negated_conjecture,
( aReductOfIn0(X2,X1,xR)
| ~ iLess0(esk8_3(X1,xR,X2),esk13_0)
| ~ sdtmndtplgtdt0(esk13_0,xR,esk8_3(X1,xR,X2))
| ~ aElement0(esk8_3(X1,xR,X2))
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[631,60,theory(equality)]) ).
cnf(736,negated_conjecture,
( aReductOfIn0(X2,X1,xR)
| ~ iLess0(esk8_3(X1,xR,X2),esk13_0)
| ~ sdtmndtplgtdt0(esk13_0,xR,esk8_3(X1,xR,X2))
| ~ aElement0(esk8_3(X1,xR,X2))
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| $false
| ~ aElement0(X1) ),
inference(rw,[status(thm)],[725,21,theory(equality)]) ).
cnf(737,negated_conjecture,
( aReductOfIn0(X2,X1,xR)
| ~ iLess0(esk8_3(X1,xR,X2),esk13_0)
| ~ sdtmndtplgtdt0(esk13_0,xR,esk8_3(X1,xR,X2))
| ~ aElement0(esk8_3(X1,xR,X2))
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[736,theory(equality)]) ).
cnf(5555,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| ~ sdtmndtplgtdt0(esk13_0,xR,esk8_3(esk13_0,xR,X1))
| ~ sdtmndtplgtdt0(esk13_0,xR,X1)
| ~ aElement0(esk8_3(esk13_0,xR,X1))
| ~ aElement0(X1)
| ~ aElement0(esk13_0)
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR) ),
inference(spm,[status(thm)],[737,313,theory(equality)]) ).
cnf(5556,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| ~ sdtmndtplgtdt0(esk13_0,xR,esk8_3(esk13_0,xR,X1))
| ~ sdtmndtplgtdt0(esk13_0,xR,X1)
| ~ aElement0(esk8_3(esk13_0,xR,X1))
| ~ aElement0(X1)
| $false
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR) ),
inference(rw,[status(thm)],[5555,90,theory(equality)]) ).
cnf(5557,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| ~ sdtmndtplgtdt0(esk13_0,xR,esk8_3(esk13_0,xR,X1))
| ~ sdtmndtplgtdt0(esk13_0,xR,X1)
| ~ aElement0(esk8_3(esk13_0,xR,X1))
| ~ aElement0(X1)
| $false
| $false
| ~ aRewritingSystem0(xR) ),
inference(rw,[status(thm)],[5556,20,theory(equality)]) ).
cnf(5558,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| ~ sdtmndtplgtdt0(esk13_0,xR,esk8_3(esk13_0,xR,X1))
| ~ sdtmndtplgtdt0(esk13_0,xR,X1)
| ~ aElement0(esk8_3(esk13_0,xR,X1))
| ~ aElement0(X1)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[5557,21,theory(equality)]) ).
cnf(5559,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| ~ sdtmndtplgtdt0(esk13_0,xR,esk8_3(esk13_0,xR,X1))
| ~ sdtmndtplgtdt0(esk13_0,xR,X1)
| ~ aElement0(esk8_3(esk13_0,xR,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[5558,theory(equality)]) ).
cnf(5560,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| ~ sdtmndtplgtdt0(esk13_0,xR,X1)
| ~ aElement0(esk8_3(esk13_0,xR,X1))
| ~ aElement0(X1)
| ~ aReductOfIn0(esk8_3(esk13_0,xR,X1),esk13_0,xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(esk13_0) ),
inference(spm,[status(thm)],[5559,125,theory(equality)]) ).
cnf(5563,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| ~ sdtmndtplgtdt0(esk13_0,xR,X1)
| ~ aElement0(esk8_3(esk13_0,xR,X1))
| ~ aElement0(X1)
| ~ aReductOfIn0(esk8_3(esk13_0,xR,X1),esk13_0,xR)
| $false
| ~ aElement0(esk13_0) ),
inference(rw,[status(thm)],[5560,21,theory(equality)]) ).
cnf(5564,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| ~ sdtmndtplgtdt0(esk13_0,xR,X1)
| ~ aElement0(esk8_3(esk13_0,xR,X1))
| ~ aElement0(X1)
| ~ aReductOfIn0(esk8_3(esk13_0,xR,X1),esk13_0,xR)
| $false
| $false ),
inference(rw,[status(thm)],[5563,90,theory(equality)]) ).
cnf(5565,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| ~ sdtmndtplgtdt0(esk13_0,xR,X1)
| ~ aElement0(esk8_3(esk13_0,xR,X1))
| ~ aElement0(X1)
| ~ aReductOfIn0(esk8_3(esk13_0,xR,X1),esk13_0,xR) ),
inference(cn,[status(thm)],[5564,theory(equality)]) ).
cnf(5749,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| ~ sdtmndtplgtdt0(esk13_0,xR,X1)
| ~ aElement0(esk8_3(esk13_0,xR,X1))
| ~ aElement0(X1)
| ~ aRewritingSystem0(xR)
| ~ aElement0(esk13_0) ),
inference(spm,[status(thm)],[5565,61,theory(equality)]) ).
cnf(5750,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| ~ sdtmndtplgtdt0(esk13_0,xR,X1)
| ~ aElement0(esk8_3(esk13_0,xR,X1))
| ~ aElement0(X1)
| $false
| ~ aElement0(esk13_0) ),
inference(rw,[status(thm)],[5749,21,theory(equality)]) ).
cnf(5751,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| ~ sdtmndtplgtdt0(esk13_0,xR,X1)
| ~ aElement0(esk8_3(esk13_0,xR,X1))
| ~ aElement0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[5750,90,theory(equality)]) ).
cnf(5752,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| ~ sdtmndtplgtdt0(esk13_0,xR,X1)
| ~ aElement0(esk8_3(esk13_0,xR,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[5751,theory(equality)]) ).
cnf(5753,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| ~ sdtmndtplgtdt0(esk13_0,xR,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(xR)
| ~ aElement0(esk13_0) ),
inference(spm,[status(thm)],[5752,62,theory(equality)]) ).
cnf(5754,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| ~ sdtmndtplgtdt0(esk13_0,xR,X1)
| ~ aElement0(X1)
| $false
| ~ aElement0(esk13_0) ),
inference(rw,[status(thm)],[5753,21,theory(equality)]) ).
cnf(5755,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| ~ sdtmndtplgtdt0(esk13_0,xR,X1)
| ~ aElement0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[5754,90,theory(equality)]) ).
cnf(5756,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| ~ sdtmndtplgtdt0(esk13_0,xR,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[5755,theory(equality)]) ).
cnf(5758,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| X1 = esk13_0
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk13_0,xR,X1)
| ~ aRewritingSystem0(xR)
| ~ aElement0(esk13_0) ),
inference(spm,[status(thm)],[5756,107,theory(equality)]) ).
cnf(5774,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| X1 = esk13_0
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk13_0,xR,X1)
| $false
| ~ aElement0(esk13_0) ),
inference(rw,[status(thm)],[5758,21,theory(equality)]) ).
cnf(5775,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| X1 = esk13_0
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk13_0,xR,X1)
| $false
| $false ),
inference(rw,[status(thm)],[5774,90,theory(equality)]) ).
cnf(5776,negated_conjecture,
( aReductOfIn0(X1,esk13_0,xR)
| X1 = esk13_0
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk13_0,xR,X1) ),
inference(cn,[status(thm)],[5775,theory(equality)]) ).
cnf(5817,negated_conjecture,
( iLess0(X1,esk13_0)
| X1 = esk13_0
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(esk13_0)
| ~ sdtmndtasgtdt0(esk13_0,xR,X1)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[309,5776,theory(equality)]) ).
cnf(5844,negated_conjecture,
( iLess0(X1,esk13_0)
| X1 = esk13_0
| $false
| ~ aRewritingSystem0(xR)
| ~ aElement0(esk13_0)
| ~ sdtmndtasgtdt0(esk13_0,xR,X1)
| ~ aElement0(X1) ),
inference(rw,[status(thm)],[5817,20,theory(equality)]) ).
cnf(5845,negated_conjecture,
( iLess0(X1,esk13_0)
| X1 = esk13_0
| $false
| $false
| ~ aElement0(esk13_0)
| ~ sdtmndtasgtdt0(esk13_0,xR,X1)
| ~ aElement0(X1) ),
inference(rw,[status(thm)],[5844,21,theory(equality)]) ).
cnf(5846,negated_conjecture,
( iLess0(X1,esk13_0)
| X1 = esk13_0
| $false
| $false
| $false
| ~ sdtmndtasgtdt0(esk13_0,xR,X1)
| ~ aElement0(X1) ),
inference(rw,[status(thm)],[5845,90,theory(equality)]) ).
cnf(5847,negated_conjecture,
( iLess0(X1,esk13_0)
| X1 = esk13_0
| ~ sdtmndtasgtdt0(esk13_0,xR,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[5846,theory(equality)]) ).
cnf(5886,negated_conjecture,
( X1 = esk13_0
| ~ sdtmndtasgtdt0(esk13_0,xR,X1)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[5847,304]) ).
cnf(5901,negated_conjecture,
( esk1_3(X1,xR,esk13_0) = esk13_0
| aNormalFormOfIn0(esk13_0,X1,xR)
| ~ aElement0(esk1_3(X1,xR,esk13_0))
| ~ sdtmndtasgtdt0(X1,xR,esk13_0)
| ~ aRewritingSystem0(xR)
| ~ aElement0(esk13_0)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[5886,282,theory(equality)]) ).
cnf(5946,negated_conjecture,
( esk1_3(X1,xR,esk13_0) = esk13_0
| aNormalFormOfIn0(esk13_0,X1,xR)
| ~ aElement0(esk1_3(X1,xR,esk13_0))
| ~ sdtmndtasgtdt0(X1,xR,esk13_0)
| $false
| ~ aElement0(esk13_0)
| ~ aElement0(X1) ),
inference(rw,[status(thm)],[5901,21,theory(equality)]) ).
cnf(5947,negated_conjecture,
( esk1_3(X1,xR,esk13_0) = esk13_0
| aNormalFormOfIn0(esk13_0,X1,xR)
| ~ aElement0(esk1_3(X1,xR,esk13_0))
| ~ sdtmndtasgtdt0(X1,xR,esk13_0)
| $false
| $false
| ~ aElement0(X1) ),
inference(rw,[status(thm)],[5946,90,theory(equality)]) ).
cnf(5948,negated_conjecture,
( esk1_3(X1,xR,esk13_0) = esk13_0
| aNormalFormOfIn0(esk13_0,X1,xR)
| ~ aElement0(esk1_3(X1,xR,esk13_0))
| ~ sdtmndtasgtdt0(X1,xR,esk13_0)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[5947,theory(equality)]) ).
cnf(5980,negated_conjecture,
( esk1_3(X1,xR,esk13_0) = esk13_0
| aNormalFormOfIn0(esk13_0,X1,xR)
| ~ sdtmndtasgtdt0(X1,xR,esk13_0)
| ~ aElement0(X1)
| ~ aRewritingSystem0(xR)
| ~ aElement0(esk13_0) ),
inference(spm,[status(thm)],[5948,140,theory(equality)]) ).
cnf(5981,negated_conjecture,
( esk1_3(X1,xR,esk13_0) = esk13_0
| aNormalFormOfIn0(esk13_0,X1,xR)
| ~ sdtmndtasgtdt0(X1,xR,esk13_0)
| ~ aElement0(X1)
| $false
| ~ aElement0(esk13_0) ),
inference(rw,[status(thm)],[5980,21,theory(equality)]) ).
cnf(5982,negated_conjecture,
( esk1_3(X1,xR,esk13_0) = esk13_0
| aNormalFormOfIn0(esk13_0,X1,xR)
| ~ sdtmndtasgtdt0(X1,xR,esk13_0)
| ~ aElement0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[5981,90,theory(equality)]) ).
cnf(5983,negated_conjecture,
( esk1_3(X1,xR,esk13_0) = esk13_0
| aNormalFormOfIn0(esk13_0,X1,xR)
| ~ sdtmndtasgtdt0(X1,xR,esk13_0)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[5982,theory(equality)]) ).
cnf(5988,negated_conjecture,
( iLess0(esk13_0,esk13_0)
| aNormalFormOfIn0(esk13_0,X1,xR)
| ~ sdtmndtasgtdt0(X1,xR,esk13_0)
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(esk13_0)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[312,5983,theory(equality)]) ).
cnf(6007,negated_conjecture,
( iLess0(esk13_0,esk13_0)
| aNormalFormOfIn0(esk13_0,X1,xR)
| ~ sdtmndtasgtdt0(X1,xR,esk13_0)
| $false
| ~ aRewritingSystem0(xR)
| ~ aElement0(esk13_0)
| ~ aElement0(X1) ),
inference(rw,[status(thm)],[5988,20,theory(equality)]) ).
cnf(6008,negated_conjecture,
( iLess0(esk13_0,esk13_0)
| aNormalFormOfIn0(esk13_0,X1,xR)
| ~ sdtmndtasgtdt0(X1,xR,esk13_0)
| $false
| $false
| ~ aElement0(esk13_0)
| ~ aElement0(X1) ),
inference(rw,[status(thm)],[6007,21,theory(equality)]) ).
cnf(6009,negated_conjecture,
( iLess0(esk13_0,esk13_0)
| aNormalFormOfIn0(esk13_0,X1,xR)
| ~ sdtmndtasgtdt0(X1,xR,esk13_0)
| $false
| $false
| $false
| ~ aElement0(X1) ),
inference(rw,[status(thm)],[6008,90,theory(equality)]) ).
cnf(6010,negated_conjecture,
( iLess0(esk13_0,esk13_0)
| aNormalFormOfIn0(esk13_0,X1,xR)
| ~ sdtmndtasgtdt0(X1,xR,esk13_0)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[6009,theory(equality)]) ).
cnf(6011,negated_conjecture,
( aNormalFormOfIn0(esk13_0,X1,xR)
| ~ sdtmndtasgtdt0(X1,xR,esk13_0)
| ~ aElement0(X1) ),
inference(sr,[status(thm)],[6010,113,theory(equality)]) ).
cnf(6027,negated_conjecture,
( ~ sdtmndtasgtdt0(esk13_0,xR,esk13_0)
| ~ aElement0(esk13_0) ),
inference(spm,[status(thm)],[92,6011,theory(equality)]) ).
cnf(6032,negated_conjecture,
( ~ sdtmndtasgtdt0(esk13_0,xR,esk13_0)
| $false ),
inference(rw,[status(thm)],[6027,90,theory(equality)]) ).
cnf(6033,negated_conjecture,
~ sdtmndtasgtdt0(esk13_0,xR,esk13_0),
inference(cn,[status(thm)],[6032,theory(equality)]) ).
cnf(6045,negated_conjecture,
( ~ aRewritingSystem0(xR)
| ~ aElement0(esk13_0) ),
inference(spm,[status(thm)],[6033,117,theory(equality)]) ).
cnf(6046,negated_conjecture,
( $false
| ~ aElement0(esk13_0) ),
inference(rw,[status(thm)],[6045,21,theory(equality)]) ).
cnf(6047,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[6046,90,theory(equality)]) ).
cnf(6048,negated_conjecture,
$false,
inference(cn,[status(thm)],[6047,theory(equality)]) ).
cnf(6049,negated_conjecture,
$false,
6048,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/COM/COM013+1.p
% --creating new selector for []
% -running prover on /tmp/tmp88wMLs/sel_COM013+1.p_1 with time limit 29
% -prover status Theorem
% Problem COM013+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/COM/COM013+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/COM/COM013+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
%
%------------------------------------------------------------------------------