TSTP Solution File: COM018+4 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : COM018+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 01:22:52 EDT 2022
% Result : Theorem 152.27s 152.49s
% Output : CNFRefutation 152.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 29
% Syntax : Number of formulae : 559 ( 70 unt; 0 def)
% Number of atoms : 3187 ( 172 equ)
% Maximal formula atoms : 96 ( 5 avg)
% Number of connectives : 4493 (1865 ~;2230 |; 332 &)
% ( 13 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 11 usr; 2 prp; 0-3 aty)
% Number of functors : 45 ( 45 usr; 13 con; 0-4 aty)
% Number of variables : 1296 ( 28 sgn 164 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X1] :
( aRewritingSystem0(X1)
=> ( isLocallyConfluent0(X1)
<=> ! [X2,X3,X4] :
( ( aElement0(X2)
& aElement0(X3)
& aElement0(X4)
& aReductOfIn0(X3,X2,X1)
& aReductOfIn0(X4,X2,X1) )
=> ? [X5] :
( aElement0(X5)
& sdtmndtasgtdt0(X3,X1,X5)
& sdtmndtasgtdt0(X4,X1,X5) ) ) ) ),
file('<stdin>',mWCRDef) ).
fof(c_0_1,axiom,
! [X1] :
( aRewritingSystem0(X1)
=> ( isConfluent0(X1)
<=> ! [X2,X3,X4] :
( ( aElement0(X2)
& aElement0(X3)
& aElement0(X4)
& sdtmndtasgtdt0(X2,X1,X3)
& sdtmndtasgtdt0(X2,X1,X4) )
=> ? [X5] :
( aElement0(X5)
& sdtmndtasgtdt0(X3,X1,X5)
& sdtmndtasgtdt0(X4,X1,X5) ) ) ) ),
file('<stdin>',mCRDef) ).
fof(c_0_2,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aNormalFormOfIn0(X3,X1,X2)
<=> ( aElement0(X3)
& sdtmndtasgtdt0(X1,X2,X3)
& ~ ? [X4] : aReductOfIn0(X4,X3,X2) ) ) ),
file('<stdin>',mNFRDef) ).
fof(c_0_3,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('<stdin>',mTCDef) ).
fof(c_0_4,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('<stdin>',mTCRTrans) ).
fof(c_0_5,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('<stdin>',mTCTrans) ).
fof(c_0_6,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtasgtdt0(X1,X2,X3)
<=> ( X1 = X3
| sdtmndtplgtdt0(X1,X2,X3) ) ) ),
file('<stdin>',mTCRDef) ).
fof(c_0_7,axiom,
! [X1] :
( aRewritingSystem0(X1)
=> ( isTerminating0(X1)
<=> ! [X2,X3] :
( ( aElement0(X2)
& aElement0(X3) )
=> ( sdtmndtplgtdt0(X2,X1,X3)
=> iLess0(X3,X2) ) ) ) ),
file('<stdin>',mTermin) ).
fof(c_0_8,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aReductOfIn0(X3,X1,X2)
=> aElement0(X3) ) ),
file('<stdin>',mReduct) ).
fof(c_0_9,axiom,
! [X1] :
( ( aRewritingSystem0(X1)
& isTerminating0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ? [X3] : aNormalFormOfIn0(X3,X2,X1) ) ),
file('<stdin>',mTermNF) ).
fof(c_0_10,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtplgtdt0(X1,X2,X3)
=> $true ) ),
file('<stdin>',mTCbr) ).
fof(c_0_11,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( iLess0(X1,X2)
=> $true ) ),
file('<stdin>',mWFOrd) ).
fof(c_0_12,axiom,
! [X1] :
( aRewritingSystem0(X1)
=> $true ),
file('<stdin>',mRelSort) ).
fof(c_0_13,axiom,
! [X1] :
( aElement0(X1)
=> $true ),
file('<stdin>',mElmSort) ).
fof(c_0_14,axiom,
! [X1] :
( aRewritingSystem0(X1)
=> ( isLocallyConfluent0(X1)
<=> ! [X2,X3,X4] :
( ( aElement0(X2)
& aElement0(X3)
& aElement0(X4)
& aReductOfIn0(X3,X2,X1)
& aReductOfIn0(X4,X2,X1) )
=> ? [X5] :
( aElement0(X5)
& sdtmndtasgtdt0(X3,X1,X5)
& sdtmndtasgtdt0(X4,X1,X5) ) ) ) ),
c_0_0 ).
fof(c_0_15,axiom,
! [X1] :
( aRewritingSystem0(X1)
=> ( isConfluent0(X1)
<=> ! [X2,X3,X4] :
( ( aElement0(X2)
& aElement0(X3)
& aElement0(X4)
& sdtmndtasgtdt0(X2,X1,X3)
& sdtmndtasgtdt0(X2,X1,X4) )
=> ? [X5] :
( aElement0(X5)
& sdtmndtasgtdt0(X3,X1,X5)
& sdtmndtasgtdt0(X4,X1,X5) ) ) ) ),
c_0_1 ).
fof(c_0_16,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aNormalFormOfIn0(X3,X1,X2)
<=> ( aElement0(X3)
& sdtmndtasgtdt0(X1,X2,X3)
& ~ ? [X4] : aReductOfIn0(X4,X3,X2) ) ) ),
c_0_2 ).
fof(c_0_17,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) ) ) ) ),
c_0_3 ).
fof(c_0_18,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) ) ),
c_0_4 ).
fof(c_0_19,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) ) ),
c_0_5 ).
fof(c_0_20,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtasgtdt0(X1,X2,X3)
<=> ( X1 = X3
| sdtmndtplgtdt0(X1,X2,X3) ) ) ),
c_0_6 ).
fof(c_0_21,axiom,
! [X1] :
( aRewritingSystem0(X1)
=> ( isTerminating0(X1)
<=> ! [X2,X3] :
( ( aElement0(X2)
& aElement0(X3) )
=> ( sdtmndtplgtdt0(X2,X1,X3)
=> iLess0(X3,X2) ) ) ) ),
c_0_7 ).
fof(c_0_22,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aReductOfIn0(X3,X1,X2)
=> aElement0(X3) ) ),
c_0_8 ).
fof(c_0_23,axiom,
! [X1] :
( ( aRewritingSystem0(X1)
& isTerminating0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ? [X3] : aNormalFormOfIn0(X3,X2,X1) ) ),
c_0_9 ).
fof(c_0_24,plain,
! [X1,X2,X3] : $true,
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_25,plain,
! [X1,X2] : $true,
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_26,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_27,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_28,plain,
! [X6,X7,X8,X9,X14] :
( ( aElement0(esk6_4(X6,X7,X8,X9))
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X9)
| ~ aReductOfIn0(X8,X7,X6)
| ~ aReductOfIn0(X9,X7,X6)
| ~ isLocallyConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( sdtmndtasgtdt0(X8,X6,esk6_4(X6,X7,X8,X9))
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X9)
| ~ aReductOfIn0(X8,X7,X6)
| ~ aReductOfIn0(X9,X7,X6)
| ~ isLocallyConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( sdtmndtasgtdt0(X9,X6,esk6_4(X6,X7,X8,X9))
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X9)
| ~ aReductOfIn0(X8,X7,X6)
| ~ aReductOfIn0(X9,X7,X6)
| ~ isLocallyConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( aElement0(esk7_1(X6))
| isLocallyConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( aElement0(esk8_1(X6))
| isLocallyConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( aElement0(esk9_1(X6))
| isLocallyConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( aReductOfIn0(esk8_1(X6),esk7_1(X6),X6)
| isLocallyConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( aReductOfIn0(esk9_1(X6),esk7_1(X6),X6)
| isLocallyConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( ~ aElement0(X14)
| ~ sdtmndtasgtdt0(esk8_1(X6),X6,X14)
| ~ sdtmndtasgtdt0(esk9_1(X6),X6,X14)
| isLocallyConfluent0(X6)
| ~ aRewritingSystem0(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])]) ).
fof(c_0_29,plain,
! [X6,X7,X8,X9,X14] :
( ( aElement0(esk2_4(X6,X7,X8,X9))
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X9)
| ~ sdtmndtasgtdt0(X7,X6,X8)
| ~ sdtmndtasgtdt0(X7,X6,X9)
| ~ isConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( sdtmndtasgtdt0(X8,X6,esk2_4(X6,X7,X8,X9))
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X9)
| ~ sdtmndtasgtdt0(X7,X6,X8)
| ~ sdtmndtasgtdt0(X7,X6,X9)
| ~ isConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( sdtmndtasgtdt0(X9,X6,esk2_4(X6,X7,X8,X9))
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X9)
| ~ sdtmndtasgtdt0(X7,X6,X8)
| ~ sdtmndtasgtdt0(X7,X6,X9)
| ~ isConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( aElement0(esk3_1(X6))
| isConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( aElement0(esk4_1(X6))
| isConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( aElement0(esk5_1(X6))
| isConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( sdtmndtasgtdt0(esk3_1(X6),X6,esk4_1(X6))
| isConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( sdtmndtasgtdt0(esk3_1(X6),X6,esk5_1(X6))
| isConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( ~ aElement0(X14)
| ~ sdtmndtasgtdt0(esk4_1(X6),X6,X14)
| ~ sdtmndtasgtdt0(esk5_1(X6),X6,X14)
| isConfluent0(X6)
| ~ aRewritingSystem0(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])]) ).
fof(c_0_30,plain,
! [X5,X6,X7,X8,X9] :
( ( aElement0(X7)
| ~ aNormalFormOfIn0(X7,X5,X6)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) )
& ( sdtmndtasgtdt0(X5,X6,X7)
| ~ aNormalFormOfIn0(X7,X5,X6)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) )
& ( ~ aReductOfIn0(X8,X7,X6)
| ~ aNormalFormOfIn0(X7,X5,X6)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) )
& ( ~ aElement0(X9)
| ~ sdtmndtasgtdt0(X5,X6,X9)
| aReductOfIn0(esk12_3(X5,X6,X9),X9,X6)
| aNormalFormOfIn0(X9,X5,X6)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])])]) ).
fof(c_0_31,plain,
! [X5,X6,X7,X9] :
( ( aElement0(esk1_3(X5,X6,X7))
| aReductOfIn0(X7,X5,X6)
| ~ sdtmndtplgtdt0(X5,X6,X7)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) )
& ( aReductOfIn0(esk1_3(X5,X6,X7),X5,X6)
| aReductOfIn0(X7,X5,X6)
| ~ sdtmndtplgtdt0(X5,X6,X7)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) )
& ( sdtmndtplgtdt0(esk1_3(X5,X6,X7),X6,X7)
| aReductOfIn0(X7,X5,X6)
| ~ 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(X9)
| ~ aReductOfIn0(X9,X5,X6)
| ~ sdtmndtplgtdt0(X9,X6,X7)
| sdtmndtplgtdt0(X5,X6,X7)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])]) ).
fof(c_0_32,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)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
fof(c_0_33,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)],[inference(fof_nnf,[status(thm)],[c_0_19])]) ).
fof(c_0_34,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)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_35,plain,
! [X4,X5,X6] :
( ( ~ isTerminating0(X4)
| ~ aElement0(X5)
| ~ aElement0(X6)
| ~ sdtmndtplgtdt0(X5,X4,X6)
| iLess0(X6,X5)
| ~ aRewritingSystem0(X4) )
& ( aElement0(esk10_1(X4))
| isTerminating0(X4)
| ~ aRewritingSystem0(X4) )
& ( aElement0(esk11_1(X4))
| isTerminating0(X4)
| ~ aRewritingSystem0(X4) )
& ( sdtmndtplgtdt0(esk10_1(X4),X4,esk11_1(X4))
| isTerminating0(X4)
| ~ aRewritingSystem0(X4) )
& ( ~ iLess0(esk11_1(X4),esk10_1(X4))
| isTerminating0(X4)
| ~ aRewritingSystem0(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])]) ).
fof(c_0_36,plain,
! [X4,X5,X6] :
( ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aReductOfIn0(X6,X4,X5)
| aElement0(X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_37,plain,
! [X4,X5] :
( ~ aRewritingSystem0(X4)
| ~ isTerminating0(X4)
| ~ aElement0(X5)
| aNormalFormOfIn0(esk13_2(X4,X5),X5,X4) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
fof(c_0_38,plain,
! [X4,X5,X6] : $true,
inference(variable_rename,[status(thm)],[c_0_24]) ).
fof(c_0_39,plain,
! [X3,X4] : $true,
inference(variable_rename,[status(thm)],[c_0_25]) ).
fof(c_0_40,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_26]) ).
fof(c_0_41,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_27]) ).
cnf(c_0_42,plain,
( sdtmndtasgtdt0(X4,X1,esk6_4(X1,X3,X4,X2))
| ~ aRewritingSystem0(X1)
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_43,plain,
( sdtmndtasgtdt0(X2,X1,esk6_4(X1,X3,X4,X2))
| ~ aRewritingSystem0(X1)
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_44,plain,
( sdtmndtasgtdt0(X4,X1,esk2_4(X1,X2,X4,X3))
| ~ aRewritingSystem0(X1)
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_45,plain,
( sdtmndtasgtdt0(X3,X1,esk2_4(X1,X2,X4,X3))
| ~ aRewritingSystem0(X1)
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_46,plain,
( aElement0(esk6_4(X1,X3,X4,X2))
| ~ aRewritingSystem0(X1)
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_47,plain,
( aElement0(esk2_4(X1,X2,X4,X3))
| ~ aRewritingSystem0(X1)
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_48,plain,
( aNormalFormOfIn0(X3,X2,X1)
| aReductOfIn0(esk12_3(X2,X1,X3),X3,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_49,plain,
( aReductOfIn0(X1,X3,X2)
| aReductOfIn0(esk1_3(X3,X2,X1),X3,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_50,plain,
( aReductOfIn0(X1,X3,X2)
| sdtmndtplgtdt0(esk1_3(X3,X2,X1),X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_51,plain,
( aReductOfIn0(X1,X3,X2)
| aElement0(esk1_3(X3,X2,X1))
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_52,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)],[c_0_32]) ).
cnf(c_0_53,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)],[c_0_33]) ).
cnf(c_0_54,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X4,X2,X1)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_55,plain,
( isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| ~ sdtmndtasgtdt0(esk9_1(X1),X1,X2)
| ~ sdtmndtasgtdt0(esk8_1(X1),X1,X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_56,plain,
( isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| ~ sdtmndtasgtdt0(esk5_1(X1),X1,X2)
| ~ sdtmndtasgtdt0(esk4_1(X1),X1,X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_57,plain,
( ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aReductOfIn0(X4,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_58,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| X3 = X1
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_59,plain,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_60,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aReductOfIn0(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_61,plain,
( sdtmndtasgtdt0(X2,X1,X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_62,plain,
( iLess0(X2,X3)
| ~ aRewritingSystem0(X1)
| ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ isTerminating0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_63,plain,
( aElement0(X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_64,plain,
( aElement0(X1)
| ~ aReductOfIn0(X1,X2,X3)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_65,plain,
( aNormalFormOfIn0(esk13_2(X1,X2),X2,X1)
| ~ aElement0(X2)
| ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_66,plain,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_67,plain,
( isTerminating0(X1)
| sdtmndtplgtdt0(esk10_1(X1),X1,esk11_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_68,plain,
( isLocallyConfluent0(X1)
| aReductOfIn0(esk8_1(X1),esk7_1(X1),X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_69,plain,
( isLocallyConfluent0(X1)
| aReductOfIn0(esk9_1(X1),esk7_1(X1),X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_70,plain,
( isConfluent0(X1)
| sdtmndtasgtdt0(esk3_1(X1),X1,esk4_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_71,plain,
( isConfluent0(X1)
| sdtmndtasgtdt0(esk3_1(X1),X1,esk5_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_72,plain,
( isTerminating0(X1)
| ~ aRewritingSystem0(X1)
| ~ iLess0(esk11_1(X1),esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_73,plain,
( isTerminating0(X1)
| aElement0(esk10_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_74,plain,
( isTerminating0(X1)
| aElement0(esk11_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_75,plain,
( isLocallyConfluent0(X1)
| aElement0(esk7_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_76,plain,
( isLocallyConfluent0(X1)
| aElement0(esk8_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_77,plain,
( isLocallyConfluent0(X1)
| aElement0(esk9_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_78,plain,
( isConfluent0(X1)
| aElement0(esk3_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_79,plain,
( isConfluent0(X1)
| aElement0(esk4_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_80,plain,
( isConfluent0(X1)
| aElement0(esk5_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_81,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_82,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_83,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_84,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_85,plain,
( sdtmndtasgtdt0(X4,X1,esk6_4(X1,X3,X4,X2))
| ~ aRewritingSystem0(X1)
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
c_0_42,
[final] ).
cnf(c_0_86,plain,
( sdtmndtasgtdt0(X2,X1,esk6_4(X1,X3,X4,X2))
| ~ aRewritingSystem0(X1)
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
c_0_43,
[final] ).
cnf(c_0_87,plain,
( sdtmndtasgtdt0(X4,X1,esk2_4(X1,X2,X4,X3))
| ~ aRewritingSystem0(X1)
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
c_0_44,
[final] ).
cnf(c_0_88,plain,
( sdtmndtasgtdt0(X3,X1,esk2_4(X1,X2,X4,X3))
| ~ aRewritingSystem0(X1)
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
c_0_45,
[final] ).
cnf(c_0_89,plain,
( aElement0(esk6_4(X1,X3,X4,X2))
| ~ aRewritingSystem0(X1)
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
c_0_46,
[final] ).
cnf(c_0_90,plain,
( aElement0(esk2_4(X1,X2,X4,X3))
| ~ aRewritingSystem0(X1)
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
c_0_47,
[final] ).
cnf(c_0_91,plain,
( aNormalFormOfIn0(X3,X2,X1)
| aReductOfIn0(esk12_3(X2,X1,X3),X3,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X3) ),
c_0_48,
[final] ).
cnf(c_0_92,plain,
( aReductOfIn0(X1,X3,X2)
| aReductOfIn0(esk1_3(X3,X2,X1),X3,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
c_0_49,
[final] ).
cnf(c_0_93,plain,
( aReductOfIn0(X1,X3,X2)
| sdtmndtplgtdt0(esk1_3(X3,X2,X1),X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
c_0_50,
[final] ).
cnf(c_0_94,plain,
( aReductOfIn0(X1,X3,X2)
| aElement0(esk1_3(X3,X2,X1))
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
c_0_51,
[final] ).
cnf(c_0_95,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
c_0_52,
[final] ).
cnf(c_0_96,plain,
( sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,X2,X3)
| ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
c_0_53,
[final] ).
cnf(c_0_97,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X4,X2,X1)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aElement0(X4) ),
c_0_54,
[final] ).
cnf(c_0_98,plain,
( isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| ~ sdtmndtasgtdt0(esk9_1(X1),X1,X2)
| ~ sdtmndtasgtdt0(esk8_1(X1),X1,X2)
| ~ aElement0(X2) ),
c_0_55,
[final] ).
cnf(c_0_99,plain,
( isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| ~ sdtmndtasgtdt0(esk5_1(X1),X1,X2)
| ~ sdtmndtasgtdt0(esk4_1(X1),X1,X2)
| ~ aElement0(X2) ),
c_0_56,
[final] ).
cnf(c_0_100,plain,
( ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aReductOfIn0(X4,X3,X1) ),
c_0_57,
[final] ).
cnf(c_0_101,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| X3 = X1
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
c_0_58,
[final] ).
cnf(c_0_102,plain,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
c_0_59,
[final] ).
cnf(c_0_103,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aReductOfIn0(X1,X3,X2) ),
c_0_60,
[final] ).
cnf(c_0_104,plain,
( sdtmndtasgtdt0(X2,X1,X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
c_0_61,
[final] ).
cnf(c_0_105,plain,
( iLess0(X2,X3)
| ~ aRewritingSystem0(X1)
| ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ isTerminating0(X1) ),
c_0_62,
[final] ).
cnf(c_0_106,plain,
( aElement0(X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
c_0_63,
[final] ).
cnf(c_0_107,plain,
( aElement0(X1)
| ~ aReductOfIn0(X1,X2,X3)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2) ),
c_0_64,
[final] ).
cnf(c_0_108,plain,
( aNormalFormOfIn0(esk13_2(X1,X2),X2,X1)
| ~ aElement0(X2)
| ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1) ),
c_0_65,
[final] ).
cnf(c_0_109,plain,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| X3 != X1 ),
c_0_66,
[final] ).
cnf(c_0_110,plain,
( isTerminating0(X1)
| sdtmndtplgtdt0(esk10_1(X1),X1,esk11_1(X1))
| ~ aRewritingSystem0(X1) ),
c_0_67,
[final] ).
cnf(c_0_111,plain,
( isLocallyConfluent0(X1)
| aReductOfIn0(esk8_1(X1),esk7_1(X1),X1)
| ~ aRewritingSystem0(X1) ),
c_0_68,
[final] ).
cnf(c_0_112,plain,
( isLocallyConfluent0(X1)
| aReductOfIn0(esk9_1(X1),esk7_1(X1),X1)
| ~ aRewritingSystem0(X1) ),
c_0_69,
[final] ).
cnf(c_0_113,plain,
( isConfluent0(X1)
| sdtmndtasgtdt0(esk3_1(X1),X1,esk4_1(X1))
| ~ aRewritingSystem0(X1) ),
c_0_70,
[final] ).
cnf(c_0_114,plain,
( isConfluent0(X1)
| sdtmndtasgtdt0(esk3_1(X1),X1,esk5_1(X1))
| ~ aRewritingSystem0(X1) ),
c_0_71,
[final] ).
cnf(c_0_115,plain,
( isTerminating0(X1)
| ~ aRewritingSystem0(X1)
| ~ iLess0(esk11_1(X1),esk10_1(X1)) ),
c_0_72,
[final] ).
cnf(c_0_116,plain,
( isTerminating0(X1)
| aElement0(esk10_1(X1))
| ~ aRewritingSystem0(X1) ),
c_0_73,
[final] ).
cnf(c_0_117,plain,
( isTerminating0(X1)
| aElement0(esk11_1(X1))
| ~ aRewritingSystem0(X1) ),
c_0_74,
[final] ).
cnf(c_0_118,plain,
( isLocallyConfluent0(X1)
| aElement0(esk7_1(X1))
| ~ aRewritingSystem0(X1) ),
c_0_75,
[final] ).
cnf(c_0_119,plain,
( isLocallyConfluent0(X1)
| aElement0(esk8_1(X1))
| ~ aRewritingSystem0(X1) ),
c_0_76,
[final] ).
cnf(c_0_120,plain,
( isLocallyConfluent0(X1)
| aElement0(esk9_1(X1))
| ~ aRewritingSystem0(X1) ),
c_0_77,
[final] ).
cnf(c_0_121,plain,
( isConfluent0(X1)
| aElement0(esk3_1(X1))
| ~ aRewritingSystem0(X1) ),
c_0_78,
[final] ).
cnf(c_0_122,plain,
( isConfluent0(X1)
| aElement0(esk4_1(X1))
| ~ aRewritingSystem0(X1) ),
c_0_79,
[final] ).
cnf(c_0_123,plain,
( isConfluent0(X1)
| aElement0(esk5_1(X1))
| ~ aRewritingSystem0(X1) ),
c_0_80,
[final] ).
cnf(c_0_124,plain,
$true,
c_0_81,
[final] ).
cnf(c_0_125,plain,
$true,
c_0_82,
[final] ).
cnf(c_0_126,plain,
$true,
c_0_83,
[final] ).
cnf(c_0_127,plain,
$true,
c_0_84,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_85_0,axiom,
( sdtmndtasgtdt0(X4,X1,sk1_esk6_4(X1,X3,X4,X2))
| ~ aRewritingSystem0(X1)
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_1,axiom,
( ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X4,X1,sk1_esk6_4(X1,X3,X4,X2))
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_2,axiom,
( ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X4,X1,sk1_esk6_4(X1,X3,X4,X2))
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_3,axiom,
( ~ aReductOfIn0(X2,X3,X1)
| ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X4,X1,sk1_esk6_4(X1,X3,X4,X2))
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_4,axiom,
( ~ aReductOfIn0(X4,X3,X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X4,X1,sk1_esk6_4(X1,X3,X4,X2))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_5,axiom,
( ~ aElement0(X2)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X4,X1,sk1_esk6_4(X1,X3,X4,X2))
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_6,axiom,
( ~ aElement0(X4)
| ~ aElement0(X2)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X4,X1,sk1_esk6_4(X1,X3,X4,X2))
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_7,axiom,
( ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X4,X1,sk1_esk6_4(X1,X3,X4,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_86_0,axiom,
( sdtmndtasgtdt0(X2,X1,sk1_esk6_4(X1,X3,X4,X2))
| ~ aRewritingSystem0(X1)
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_1,axiom,
( ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X2,X1,sk1_esk6_4(X1,X3,X4,X2))
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_2,axiom,
( ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X2,X1,sk1_esk6_4(X1,X3,X4,X2))
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_3,axiom,
( ~ aReductOfIn0(X2,X3,X1)
| ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X2,X1,sk1_esk6_4(X1,X3,X4,X2))
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_4,axiom,
( ~ aReductOfIn0(X4,X3,X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X2,X1,sk1_esk6_4(X1,X3,X4,X2))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_5,axiom,
( ~ aElement0(X2)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X2,X1,sk1_esk6_4(X1,X3,X4,X2))
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_6,axiom,
( ~ aElement0(X4)
| ~ aElement0(X2)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X2,X1,sk1_esk6_4(X1,X3,X4,X2))
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_7,axiom,
( ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X2,X1,sk1_esk6_4(X1,X3,X4,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_87_0,axiom,
( sdtmndtasgtdt0(X4,X1,sk1_esk2_4(X1,X2,X4,X3))
| ~ aRewritingSystem0(X1)
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_1,axiom,
( ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X4,X1,sk1_esk2_4(X1,X2,X4,X3))
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_2,axiom,
( ~ isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X4,X1,sk1_esk2_4(X1,X2,X4,X3))
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_3,axiom,
( ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X4,X1,sk1_esk2_4(X1,X2,X4,X3))
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_4,axiom,
( ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X4,X1,sk1_esk2_4(X1,X2,X4,X3))
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_5,axiom,
( ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X4,X1,sk1_esk2_4(X1,X2,X4,X3))
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_6,axiom,
( ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X4,X1,sk1_esk2_4(X1,X2,X4,X3))
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_7,axiom,
( ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X4,X1,sk1_esk2_4(X1,X2,X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_88_0,axiom,
( sdtmndtasgtdt0(X3,X1,sk1_esk2_4(X1,X2,X4,X3))
| ~ aRewritingSystem0(X1)
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_1,axiom,
( ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X3,X1,sk1_esk2_4(X1,X2,X4,X3))
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_2,axiom,
( ~ isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X3,X1,sk1_esk2_4(X1,X2,X4,X3))
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_3,axiom,
( ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X3,X1,sk1_esk2_4(X1,X2,X4,X3))
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_4,axiom,
( ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X3,X1,sk1_esk2_4(X1,X2,X4,X3))
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_5,axiom,
( ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X3,X1,sk1_esk2_4(X1,X2,X4,X3))
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_6,axiom,
( ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X3,X1,sk1_esk2_4(X1,X2,X4,X3))
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_7,axiom,
( ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X3,X1,sk1_esk2_4(X1,X2,X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_89_0,axiom,
( aElement0(sk1_esk6_4(X1,X3,X4,X2))
| ~ aRewritingSystem0(X1)
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_1,axiom,
( ~ aRewritingSystem0(X1)
| aElement0(sk1_esk6_4(X1,X3,X4,X2))
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_2,axiom,
( ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| aElement0(sk1_esk6_4(X1,X3,X4,X2))
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_3,axiom,
( ~ aReductOfIn0(X2,X3,X1)
| ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| aElement0(sk1_esk6_4(X1,X3,X4,X2))
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_4,axiom,
( ~ aReductOfIn0(X4,X3,X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| aElement0(sk1_esk6_4(X1,X3,X4,X2))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_5,axiom,
( ~ aElement0(X2)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| aElement0(sk1_esk6_4(X1,X3,X4,X2))
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_6,axiom,
( ~ aElement0(X4)
| ~ aElement0(X2)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| aElement0(sk1_esk6_4(X1,X3,X4,X2))
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_7,axiom,
( ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| aElement0(sk1_esk6_4(X1,X3,X4,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_90_0,axiom,
( aElement0(sk1_esk2_4(X1,X2,X4,X3))
| ~ aRewritingSystem0(X1)
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_1,axiom,
( ~ aRewritingSystem0(X1)
| aElement0(sk1_esk2_4(X1,X2,X4,X3))
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_2,axiom,
( ~ isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| aElement0(sk1_esk2_4(X1,X2,X4,X3))
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_3,axiom,
( ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| aElement0(sk1_esk2_4(X1,X2,X4,X3))
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_4,axiom,
( ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| aElement0(sk1_esk2_4(X1,X2,X4,X3))
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_5,axiom,
( ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| aElement0(sk1_esk2_4(X1,X2,X4,X3))
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_6,axiom,
( ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| aElement0(sk1_esk2_4(X1,X2,X4,X3))
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_7,axiom,
( ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| aElement0(sk1_esk2_4(X1,X2,X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_91_0,axiom,
( aNormalFormOfIn0(X3,X2,X1)
| aReductOfIn0(sk1_esk12_3(X2,X1,X3),X3,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_1,axiom,
( aReductOfIn0(sk1_esk12_3(X2,X1,X3),X3,X1)
| aNormalFormOfIn0(X3,X2,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_2,axiom,
( ~ aRewritingSystem0(X1)
| aReductOfIn0(sk1_esk12_3(X2,X1,X3),X3,X1)
| aNormalFormOfIn0(X3,X2,X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_3,axiom,
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| aReductOfIn0(sk1_esk12_3(X2,X1,X3),X3,X1)
| aNormalFormOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_4,axiom,
( ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| aReductOfIn0(sk1_esk12_3(X2,X1,X3),X3,X1)
| aNormalFormOfIn0(X3,X2,X1)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_5,axiom,
( ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| aReductOfIn0(sk1_esk12_3(X2,X1,X3),X3,X1)
| aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_92_0,axiom,
( aReductOfIn0(X1,X3,X2)
| aReductOfIn0(sk1_esk1_3(X3,X2,X1),X3,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_1,axiom,
( aReductOfIn0(sk1_esk1_3(X3,X2,X1),X3,X2)
| aReductOfIn0(X1,X3,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_2,axiom,
( ~ aElement0(X1)
| aReductOfIn0(sk1_esk1_3(X3,X2,X1),X3,X2)
| aReductOfIn0(X1,X3,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_3,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| aReductOfIn0(sk1_esk1_3(X3,X2,X1),X3,X2)
| aReductOfIn0(X1,X3,X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_4,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| aReductOfIn0(sk1_esk1_3(X3,X2,X1),X3,X2)
| aReductOfIn0(X1,X3,X2)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_5,axiom,
( ~ sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| aReductOfIn0(sk1_esk1_3(X3,X2,X1),X3,X2)
| aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_93_0,axiom,
( aReductOfIn0(X1,X3,X2)
| sdtmndtplgtdt0(sk1_esk1_3(X3,X2,X1),X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_1,axiom,
( sdtmndtplgtdt0(sk1_esk1_3(X3,X2,X1),X2,X1)
| aReductOfIn0(X1,X3,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_2,axiom,
( ~ aElement0(X1)
| sdtmndtplgtdt0(sk1_esk1_3(X3,X2,X1),X2,X1)
| aReductOfIn0(X1,X3,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_3,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(sk1_esk1_3(X3,X2,X1),X2,X1)
| aReductOfIn0(X1,X3,X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_4,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(sk1_esk1_3(X3,X2,X1),X2,X1)
| aReductOfIn0(X1,X3,X2)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_5,axiom,
( ~ sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(sk1_esk1_3(X3,X2,X1),X2,X1)
| aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_94_0,axiom,
( aReductOfIn0(X1,X3,X2)
| aElement0(sk1_esk1_3(X3,X2,X1))
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_1,axiom,
( aElement0(sk1_esk1_3(X3,X2,X1))
| aReductOfIn0(X1,X3,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_2,axiom,
( ~ aElement0(X1)
| aElement0(sk1_esk1_3(X3,X2,X1))
| aReductOfIn0(X1,X3,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_3,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| aElement0(sk1_esk1_3(X3,X2,X1))
| aReductOfIn0(X1,X3,X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_4,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| aElement0(sk1_esk1_3(X3,X2,X1))
| aReductOfIn0(X1,X3,X2)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_5,axiom,
( ~ sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| aElement0(sk1_esk1_3(X3,X2,X1))
| aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_95_0,axiom,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_1,axiom,
( ~ sdtmndtasgtdt0(X4,X2,X3)
| sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_2,axiom,
( ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_3,axiom,
( ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_4,axiom,
( ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| sdtmndtasgtdt0(X1,X2,X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_5,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_6,axiom,
( ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| sdtmndtasgtdt0(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_96_0,axiom,
( sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,X2,X3)
| ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_1,axiom,
( ~ sdtmndtplgtdt0(X4,X2,X3)
| sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_2,axiom,
( ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ sdtmndtplgtdt0(X4,X2,X3)
| sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_3,axiom,
( ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ sdtmndtplgtdt0(X4,X2,X3)
| sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_4,axiom,
( ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ sdtmndtplgtdt0(X4,X2,X3)
| sdtmndtplgtdt0(X1,X2,X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_5,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ sdtmndtplgtdt0(X4,X2,X3)
| sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_6,axiom,
( ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ sdtmndtplgtdt0(X4,X2,X3)
| sdtmndtplgtdt0(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_97_0,axiom,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X4,X2,X1)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_1,axiom,
( ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X4,X2,X1)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_2,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X4,X2,X1)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_3,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1)
| ~ sdtmndtplgtdt0(X4,X2,X1)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_4,axiom,
( ~ sdtmndtplgtdt0(X4,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_5,axiom,
( ~ aReductOfIn0(X4,X3,X2)
| ~ sdtmndtplgtdt0(X4,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_6,axiom,
( ~ aElement0(X4)
| ~ aReductOfIn0(X4,X3,X2)
| ~ sdtmndtplgtdt0(X4,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_98_0,axiom,
( isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1)
| ~ sdtmndtasgtdt0(sk1_esk9_1(X1),X1,X2)
| ~ sdtmndtasgtdt0(sk1_esk8_1(X1),X1,X2)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_1,axiom,
( ~ aRewritingSystem0(X1)
| isLocallyConfluent0(X1)
| ~ sdtmndtasgtdt0(sk1_esk9_1(X1),X1,X2)
| ~ sdtmndtasgtdt0(sk1_esk8_1(X1),X1,X2)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_2,axiom,
( ~ sdtmndtasgtdt0(sk1_esk9_1(X1),X1,X2)
| ~ aRewritingSystem0(X1)
| isLocallyConfluent0(X1)
| ~ sdtmndtasgtdt0(sk1_esk8_1(X1),X1,X2)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_3,axiom,
( ~ sdtmndtasgtdt0(sk1_esk8_1(X1),X1,X2)
| ~ sdtmndtasgtdt0(sk1_esk9_1(X1),X1,X2)
| ~ aRewritingSystem0(X1)
| isLocallyConfluent0(X1)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_4,axiom,
( ~ aElement0(X2)
| ~ sdtmndtasgtdt0(sk1_esk8_1(X1),X1,X2)
| ~ sdtmndtasgtdt0(sk1_esk9_1(X1),X1,X2)
| ~ aRewritingSystem0(X1)
| isLocallyConfluent0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_99_0,axiom,
( isConfluent0(X1)
| ~ aRewritingSystem0(X1)
| ~ sdtmndtasgtdt0(sk1_esk5_1(X1),X1,X2)
| ~ sdtmndtasgtdt0(sk1_esk4_1(X1),X1,X2)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_1,axiom,
( ~ aRewritingSystem0(X1)
| isConfluent0(X1)
| ~ sdtmndtasgtdt0(sk1_esk5_1(X1),X1,X2)
| ~ sdtmndtasgtdt0(sk1_esk4_1(X1),X1,X2)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_2,axiom,
( ~ sdtmndtasgtdt0(sk1_esk5_1(X1),X1,X2)
| ~ aRewritingSystem0(X1)
| isConfluent0(X1)
| ~ sdtmndtasgtdt0(sk1_esk4_1(X1),X1,X2)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_3,axiom,
( ~ sdtmndtasgtdt0(sk1_esk4_1(X1),X1,X2)
| ~ sdtmndtasgtdt0(sk1_esk5_1(X1),X1,X2)
| ~ aRewritingSystem0(X1)
| isConfluent0(X1)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_4,axiom,
( ~ aElement0(X2)
| ~ sdtmndtasgtdt0(sk1_esk4_1(X1),X1,X2)
| ~ sdtmndtasgtdt0(sk1_esk5_1(X1),X1,X2)
| ~ aRewritingSystem0(X1)
| isConfluent0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_100_0,axiom,
( ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aReductOfIn0(X4,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_1,axiom,
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aReductOfIn0(X4,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_2,axiom,
( ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aReductOfIn0(X4,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_3,axiom,
( ~ aReductOfIn0(X4,X3,X1)
| ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_101_0,axiom,
( sdtmndtplgtdt0(X3,X2,X1)
| X3 = X1
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_1,axiom,
( X3 = X1
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_2,axiom,
( ~ aElement0(X1)
| X3 = X1
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_3,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| X3 = X1
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_4,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| X3 = X1
| sdtmndtplgtdt0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_5,axiom,
( ~ sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| X3 = X1
| sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_102_0,axiom,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_1,axiom,
( ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_2,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_3,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_4,axiom,
( ~ sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_103_0,axiom,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_1,axiom,
( ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_2,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_3,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_4,axiom,
( ~ aReductOfIn0(X1,X3,X2)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_104_0,axiom,
( sdtmndtasgtdt0(X2,X1,X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_1,axiom,
( ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_2,axiom,
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X2,X1,X3)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_3,axiom,
( ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_105_0,axiom,
( iLess0(X2,X3)
| ~ aRewritingSystem0(X1)
| ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ isTerminating0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_1,axiom,
( ~ aRewritingSystem0(X1)
| iLess0(X2,X3)
| ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ isTerminating0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_2,axiom,
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aRewritingSystem0(X1)
| iLess0(X2,X3)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ isTerminating0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_3,axiom,
( ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aRewritingSystem0(X1)
| iLess0(X2,X3)
| ~ aElement0(X3)
| ~ isTerminating0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_4,axiom,
( ~ aElement0(X3)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aRewritingSystem0(X1)
| iLess0(X2,X3)
| ~ isTerminating0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_5,axiom,
( ~ isTerminating0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aRewritingSystem0(X1)
| iLess0(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_106_0,axiom,
( aElement0(X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_1,axiom,
( ~ aRewritingSystem0(X1)
| aElement0(X3)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_2,axiom,
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| aElement0(X3)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_3,axiom,
( ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_107_0,axiom,
( aElement0(X1)
| ~ aReductOfIn0(X1,X2,X3)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_1,axiom,
( ~ aReductOfIn0(X1,X2,X3)
| aElement0(X1)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_2,axiom,
( ~ aRewritingSystem0(X3)
| ~ aReductOfIn0(X1,X2,X3)
| aElement0(X1)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_3,axiom,
( ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aReductOfIn0(X1,X2,X3)
| aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_108_0,axiom,
( aNormalFormOfIn0(sk1_esk13_2(X1,X2),X2,X1)
| ~ aElement0(X2)
| ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_1,axiom,
( ~ aElement0(X2)
| aNormalFormOfIn0(sk1_esk13_2(X1,X2),X2,X1)
| ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_2,axiom,
( ~ isTerminating0(X1)
| ~ aElement0(X2)
| aNormalFormOfIn0(sk1_esk13_2(X1,X2),X2,X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_3,axiom,
( ~ aRewritingSystem0(X1)
| ~ isTerminating0(X1)
| ~ aElement0(X2)
| aNormalFormOfIn0(sk1_esk13_2(X1,X2),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_109_0,axiom,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_1,axiom,
( ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_2,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_3,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_4,axiom,
( X3 != X1
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_110_0,axiom,
( isTerminating0(X1)
| sdtmndtplgtdt0(sk1_esk10_1(X1),X1,sk1_esk11_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_1,axiom,
( sdtmndtplgtdt0(sk1_esk10_1(X1),X1,sk1_esk11_1(X1))
| isTerminating0(X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_2,axiom,
( ~ aRewritingSystem0(X1)
| sdtmndtplgtdt0(sk1_esk10_1(X1),X1,sk1_esk11_1(X1))
| isTerminating0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_111_0,axiom,
( isLocallyConfluent0(X1)
| aReductOfIn0(sk1_esk8_1(X1),sk1_esk7_1(X1),X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_1,axiom,
( aReductOfIn0(sk1_esk8_1(X1),sk1_esk7_1(X1),X1)
| isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_2,axiom,
( ~ aRewritingSystem0(X1)
| aReductOfIn0(sk1_esk8_1(X1),sk1_esk7_1(X1),X1)
| isLocallyConfluent0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_112_0,axiom,
( isLocallyConfluent0(X1)
| aReductOfIn0(sk1_esk9_1(X1),sk1_esk7_1(X1),X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_1,axiom,
( aReductOfIn0(sk1_esk9_1(X1),sk1_esk7_1(X1),X1)
| isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_2,axiom,
( ~ aRewritingSystem0(X1)
| aReductOfIn0(sk1_esk9_1(X1),sk1_esk7_1(X1),X1)
| isLocallyConfluent0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_113_0,axiom,
( isConfluent0(X1)
| sdtmndtasgtdt0(sk1_esk3_1(X1),X1,sk1_esk4_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_1,axiom,
( sdtmndtasgtdt0(sk1_esk3_1(X1),X1,sk1_esk4_1(X1))
| isConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_2,axiom,
( ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(sk1_esk3_1(X1),X1,sk1_esk4_1(X1))
| isConfluent0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_114_0,axiom,
( isConfluent0(X1)
| sdtmndtasgtdt0(sk1_esk3_1(X1),X1,sk1_esk5_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_1,axiom,
( sdtmndtasgtdt0(sk1_esk3_1(X1),X1,sk1_esk5_1(X1))
| isConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_2,axiom,
( ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(sk1_esk3_1(X1),X1,sk1_esk5_1(X1))
| isConfluent0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_115_0,axiom,
( isTerminating0(X1)
| ~ aRewritingSystem0(X1)
| ~ iLess0(sk1_esk11_1(X1),sk1_esk10_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_1,axiom,
( ~ aRewritingSystem0(X1)
| isTerminating0(X1)
| ~ iLess0(sk1_esk11_1(X1),sk1_esk10_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_2,axiom,
( ~ iLess0(sk1_esk11_1(X1),sk1_esk10_1(X1))
| ~ aRewritingSystem0(X1)
| isTerminating0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_116_0,axiom,
( isTerminating0(X1)
| aElement0(sk1_esk10_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_1,axiom,
( aElement0(sk1_esk10_1(X1))
| isTerminating0(X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_2,axiom,
( ~ aRewritingSystem0(X1)
| aElement0(sk1_esk10_1(X1))
| isTerminating0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_117_0,axiom,
( isTerminating0(X1)
| aElement0(sk1_esk11_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_1,axiom,
( aElement0(sk1_esk11_1(X1))
| isTerminating0(X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_2,axiom,
( ~ aRewritingSystem0(X1)
| aElement0(sk1_esk11_1(X1))
| isTerminating0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_118_0,axiom,
( isLocallyConfluent0(X1)
| aElement0(sk1_esk7_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_1,axiom,
( aElement0(sk1_esk7_1(X1))
| isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_2,axiom,
( ~ aRewritingSystem0(X1)
| aElement0(sk1_esk7_1(X1))
| isLocallyConfluent0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_119_0,axiom,
( isLocallyConfluent0(X1)
| aElement0(sk1_esk8_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_1,axiom,
( aElement0(sk1_esk8_1(X1))
| isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_2,axiom,
( ~ aRewritingSystem0(X1)
| aElement0(sk1_esk8_1(X1))
| isLocallyConfluent0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_120_0,axiom,
( isLocallyConfluent0(X1)
| aElement0(sk1_esk9_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_1,axiom,
( aElement0(sk1_esk9_1(X1))
| isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_2,axiom,
( ~ aRewritingSystem0(X1)
| aElement0(sk1_esk9_1(X1))
| isLocallyConfluent0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_121_0,axiom,
( isConfluent0(X1)
| aElement0(sk1_esk3_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_1,axiom,
( aElement0(sk1_esk3_1(X1))
| isConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_2,axiom,
( ~ aRewritingSystem0(X1)
| aElement0(sk1_esk3_1(X1))
| isConfluent0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_122_0,axiom,
( isConfluent0(X1)
| aElement0(sk1_esk4_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_1,axiom,
( aElement0(sk1_esk4_1(X1))
| isConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_2,axiom,
( ~ aRewritingSystem0(X1)
| aElement0(sk1_esk4_1(X1))
| isConfluent0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_123_0,axiom,
( isConfluent0(X1)
| aElement0(sk1_esk5_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_1,axiom,
( aElement0(sk1_esk5_1(X1))
| isConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_2,axiom,
( ~ aRewritingSystem0(X1)
| aElement0(sk1_esk5_1(X1))
| isConfluent0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_124_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_125_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_126_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_127_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_127]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,hypothesis,
( ! [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('<stdin>',m__656_01) ).
fof(c_0_1_002,hypothesis,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3)
& ( X1 = X2
| aReductOfIn0(X2,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X2) )
| sdtmndtplgtdt0(X1,xR,X2)
| sdtmndtasgtdt0(X1,xR,X2) )
& ( 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) ) )
=> ( iLess0(X1,xa)
=> ? [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) ) ) ),
file('<stdin>',m__715) ).
fof(c_0_2_003,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('<stdin>',m__) ).
fof(c_0_3_004,hypothesis,
( 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('<stdin>',m__799) ).
fof(c_0_4_005,hypothesis,
( aElement0(xv)
& aReductOfIn0(xv,xa,xR)
& ( xv = xc
| ( ( aReductOfIn0(xc,xv,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xv,xR)
& sdtmndtplgtdt0(X1,xR,xc) ) )
& sdtmndtplgtdt0(xv,xR,xc) ) )
& sdtmndtasgtdt0(xv,xR,xc) ),
file('<stdin>',m__779) ).
fof(c_0_5_006,hypothesis,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& ( xu = xb
| ( ( aReductOfIn0(xb,xu,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xu,xR)
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtplgtdt0(xu,xR,xb) ) )
& sdtmndtasgtdt0(xu,xR,xb) ),
file('<stdin>',m__755) ).
fof(c_0_6_007,hypothesis,
( ( 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) ),
file('<stdin>',m__731_02) ).
fof(c_0_7_008,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('<stdin>',m__731) ).
fof(c_0_8_009,hypothesis,
aRewritingSystem0(xR),
file('<stdin>',m__656) ).
fof(c_0_9_010,plain,
! [X3,X2,X1] :
( epred1_3(X1,X2,X3)
<=> ( ( X1 = X2
| aReductOfIn0(X2,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X2) )
| sdtmndtplgtdt0(X1,xR,X2)
| sdtmndtasgtdt0(X1,xR,X2) )
& ( 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) ) ) ),
introduced(definition) ).
fof(c_0_10_011,hypothesis,
( ! [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) ),
c_0_0 ).
fof(c_0_11_012,hypothesis,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3)
& epred1_3(X1,X2,X3) )
=> ( iLess0(X1,xa)
=> ? [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) ) ) ),
inference(apply_def,[status(thm)],[c_0_1,c_0_9,theory(equality,[symmetry])]) ).
fof(c_0_12_013,plain,
! [X3,X2,X1] :
( ( ( X1 = X2
| aReductOfIn0(X2,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X2) )
| sdtmndtplgtdt0(X1,xR,X2)
| sdtmndtasgtdt0(X1,xR,X2) )
& ( 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) ) )
=> epred1_3(X1,X2,X3) ),
inference(split_equiv,[status(thm)],[c_0_9]) ).
fof(c_0_13_014,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)],[c_0_2]) ).
fof(c_0_14_015,hypothesis,
( 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) ),
c_0_3 ).
fof(c_0_15_016,hypothesis,
( aElement0(xv)
& aReductOfIn0(xv,xa,xR)
& ( xv = xc
| ( ( aReductOfIn0(xc,xv,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xv,xR)
& sdtmndtplgtdt0(X1,xR,xc) ) )
& sdtmndtplgtdt0(xv,xR,xc) ) )
& sdtmndtasgtdt0(xv,xR,xc) ),
c_0_4 ).
fof(c_0_16_017,hypothesis,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& ( xu = xb
| ( ( aReductOfIn0(xb,xu,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xu,xR)
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtplgtdt0(xu,xR,xb) ) )
& sdtmndtasgtdt0(xu,xR,xb) ),
c_0_5 ).
fof(c_0_17_018,hypothesis,
( ( 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) ),
c_0_6 ).
fof(c_0_18_019,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
c_0_7 ).
fof(c_0_19_020,hypothesis,
aRewritingSystem0(xR),
c_0_8 ).
fof(c_0_20_021,hypothesis,
! [X6,X7,X8,X12,X13,X14] :
( ( aElement0(esk1_3(X6,X7,X8))
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk2_3(X6,X7,X8))
| aReductOfIn0(esk1_3(X6,X7,X8),X7,xR)
| X7 = esk1_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aReductOfIn0(esk2_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk1_3(X6,X7,X8),X7,xR)
| X7 = esk1_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(esk2_3(X6,X7,X8),xR,esk1_3(X6,X7,X8))
| aReductOfIn0(esk1_3(X6,X7,X8),X7,xR)
| X7 = esk1_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(X7,xR,esk1_3(X6,X7,X8))
| X7 = esk1_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtasgtdt0(X7,xR,esk1_3(X6,X7,X8))
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk3_3(X6,X7,X8))
| aReductOfIn0(esk1_3(X6,X7,X8),X8,xR)
| X8 = esk1_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aReductOfIn0(esk3_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk1_3(X6,X7,X8),X8,xR)
| X8 = esk1_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(esk3_3(X6,X7,X8),xR,esk1_3(X6,X7,X8))
| aReductOfIn0(esk1_3(X6,X7,X8),X8,xR)
| X8 = esk1_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(X8,xR,esk1_3(X6,X7,X8))
| X8 = esk1_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtasgtdt0(X8,xR,esk1_3(X6,X7,X8))
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& isLocallyConfluent0(xR)
& ( ~ aReductOfIn0(X13,X12,xR)
| iLess0(X13,X12)
| ~ aElement0(X12)
| ~ aElement0(X13) )
& ( ~ aElement0(X14)
| ~ aReductOfIn0(X14,X12,xR)
| ~ sdtmndtplgtdt0(X14,xR,X13)
| iLess0(X13,X12)
| ~ aElement0(X12)
| ~ aElement0(X13) )
& ( ~ sdtmndtplgtdt0(X12,xR,X13)
| iLess0(X13,X12)
| ~ aElement0(X12)
| ~ aElement0(X13) )
& isTerminating0(xR) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])]) ).
fof(c_0_21_022,hypothesis,
! [X6,X7,X8] :
( ( aElement0(esk4_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( aElement0(esk5_3(X6,X7,X8))
| aReductOfIn0(esk4_3(X6,X7,X8),X7,xR)
| X7 = esk4_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk4_3(X6,X7,X8),X7,xR)
| X7 = esk4_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( sdtmndtplgtdt0(esk5_3(X6,X7,X8),xR,esk4_3(X6,X7,X8))
| aReductOfIn0(esk4_3(X6,X7,X8),X7,xR)
| X7 = esk4_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( sdtmndtplgtdt0(X7,xR,esk4_3(X6,X7,X8))
| X7 = esk4_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( sdtmndtasgtdt0(X7,xR,esk4_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk4_3(X6,X7,X8),X8,xR)
| X8 = esk4_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk4_3(X6,X7,X8),X8,xR)
| X8 = esk4_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk4_3(X6,X7,X8))
| aReductOfIn0(esk4_3(X6,X7,X8),X8,xR)
| X8 = esk4_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( sdtmndtplgtdt0(X8,xR,esk4_3(X6,X7,X8))
| X8 = esk4_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( sdtmndtasgtdt0(X8,xR,esk4_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_22_023,plain,
! [X5,X6,X7,X8,X9] :
( ( X7 != X5
| X7 != X6
| epred1_3(X7,X6,X5) )
& ( ~ aReductOfIn0(X5,X7,xR)
| X7 != X6
| epred1_3(X7,X6,X5) )
& ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X7,xR)
| ~ sdtmndtplgtdt0(X9,xR,X5)
| X7 != X6
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtplgtdt0(X7,xR,X5)
| X7 != X6
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtasgtdt0(X7,xR,X5)
| X7 != X6
| epred1_3(X7,X6,X5) )
& ( X7 != X5
| ~ aReductOfIn0(X6,X7,xR)
| epred1_3(X7,X6,X5) )
& ( ~ aReductOfIn0(X5,X7,xR)
| ~ aReductOfIn0(X6,X7,xR)
| epred1_3(X7,X6,X5) )
& ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X7,xR)
| ~ sdtmndtplgtdt0(X9,xR,X5)
| ~ aReductOfIn0(X6,X7,xR)
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ aReductOfIn0(X6,X7,xR)
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtasgtdt0(X7,xR,X5)
| ~ aReductOfIn0(X6,X7,xR)
| epred1_3(X7,X6,X5) )
& ( X7 != X5
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X7,xR)
| ~ sdtmndtplgtdt0(X8,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ aReductOfIn0(X5,X7,xR)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X7,xR)
| ~ sdtmndtplgtdt0(X8,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X7,xR)
| ~ sdtmndtplgtdt0(X9,xR,X5)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X7,xR)
| ~ sdtmndtplgtdt0(X8,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X7,xR)
| ~ sdtmndtplgtdt0(X8,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtasgtdt0(X7,xR,X5)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X7,xR)
| ~ sdtmndtplgtdt0(X8,xR,X6)
| epred1_3(X7,X6,X5) )
& ( X7 != X5
| ~ sdtmndtplgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ aReductOfIn0(X5,X7,xR)
| ~ sdtmndtplgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X7,xR)
| ~ sdtmndtplgtdt0(X9,xR,X5)
| ~ sdtmndtplgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ sdtmndtplgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtasgtdt0(X7,xR,X5)
| ~ sdtmndtplgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) )
& ( X7 != X5
| ~ sdtmndtasgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ aReductOfIn0(X5,X7,xR)
| ~ sdtmndtasgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X7,xR)
| ~ sdtmndtplgtdt0(X9,xR,X5)
| ~ sdtmndtasgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ sdtmndtasgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtasgtdt0(X7,xR,X5)
| ~ sdtmndtasgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_23_024,negated_conjecture,
! [X3,X4,X6] :
( ( xw != X3
| aReductOfIn0(esk13_1(X3),X3,xR)
| ~ aElement0(X3) )
& ( ~ aReductOfIn0(X3,xw,xR)
| aReductOfIn0(esk13_1(X3),X3,xR)
| ~ aElement0(X3) )
& ( ~ aElement0(X4)
| ~ aReductOfIn0(X4,xw,xR)
| ~ sdtmndtplgtdt0(X4,xR,X3)
| aReductOfIn0(esk13_1(X3),X3,xR)
| ~ aElement0(X3) )
& ( ~ sdtmndtplgtdt0(xw,xR,X3)
| aReductOfIn0(esk13_1(X3),X3,xR)
| ~ aElement0(X3) )
& ( ~ sdtmndtasgtdt0(xw,xR,X3)
| aReductOfIn0(esk13_1(X3),X3,xR)
| ~ aElement0(X3) )
& ~ aNormalFormOfIn0(X6,xw,xR) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])])]) ).
fof(c_0_24_025,hypothesis,
( aElement0(xw)
& ( aElement0(esk11_0)
| aReductOfIn0(xw,xu,xR)
| xu = xw )
& ( aReductOfIn0(esk11_0,xu,xR)
| aReductOfIn0(xw,xu,xR)
| xu = xw )
& ( sdtmndtplgtdt0(esk11_0,xR,xw)
| aReductOfIn0(xw,xu,xR)
| xu = xw )
& ( sdtmndtplgtdt0(xu,xR,xw)
| xu = xw )
& sdtmndtasgtdt0(xu,xR,xw)
& ( aElement0(esk12_0)
| aReductOfIn0(xw,xv,xR)
| xv = xw )
& ( aReductOfIn0(esk12_0,xv,xR)
| aReductOfIn0(xw,xv,xR)
| xv = xw )
& ( sdtmndtplgtdt0(esk12_0,xR,xw)
| aReductOfIn0(xw,xv,xR)
| xv = xw )
& ( sdtmndtplgtdt0(xv,xR,xw)
| xv = xw )
& sdtmndtasgtdt0(xv,xR,xw) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_14])])]) ).
fof(c_0_25_026,hypothesis,
( aElement0(xv)
& aReductOfIn0(xv,xa,xR)
& ( aElement0(esk10_0)
| aReductOfIn0(xc,xv,xR)
| xv = xc )
& ( aReductOfIn0(esk10_0,xv,xR)
| aReductOfIn0(xc,xv,xR)
| xv = xc )
& ( sdtmndtplgtdt0(esk10_0,xR,xc)
| aReductOfIn0(xc,xv,xR)
| xv = xc )
& ( sdtmndtplgtdt0(xv,xR,xc)
| xv = xc )
& sdtmndtasgtdt0(xv,xR,xc) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_15])])]) ).
fof(c_0_26_027,hypothesis,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& ( aElement0(esk9_0)
| aReductOfIn0(xb,xu,xR)
| xu = xb )
& ( aReductOfIn0(esk9_0,xu,xR)
| aReductOfIn0(xb,xu,xR)
| xu = xb )
& ( sdtmndtplgtdt0(esk9_0,xR,xb)
| aReductOfIn0(xb,xu,xR)
| xu = xb )
& ( sdtmndtplgtdt0(xu,xR,xb)
| xu = xb )
& sdtmndtasgtdt0(xu,xR,xb) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_16])])]) ).
fof(c_0_27_028,hypothesis,
( ( aElement0(esk7_0)
| aReductOfIn0(xb,xa,xR) )
& ( aReductOfIn0(esk7_0,xa,xR)
| aReductOfIn0(xb,xa,xR) )
& ( sdtmndtplgtdt0(esk7_0,xR,xb)
| aReductOfIn0(xb,xa,xR) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( aElement0(esk8_0)
| aReductOfIn0(xc,xa,xR) )
& ( aReductOfIn0(esk8_0,xa,xR)
| aReductOfIn0(xc,xa,xR) )
& ( sdtmndtplgtdt0(esk8_0,xR,xc)
| aReductOfIn0(xc,xa,xR) )
& sdtmndtplgtdt0(xa,xR,xc) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_17])])]) ).
fof(c_0_28_029,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
c_0_18 ).
fof(c_0_29_030,hypothesis,
aRewritingSystem0(xR),
c_0_19 ).
cnf(c_0_30_031,hypothesis,
( X3 = esk1_3(X2,X3,X1)
| aReductOfIn0(esk1_3(X2,X3,X1),X3,xR)
| sdtmndtplgtdt0(esk2_3(X2,X3,X1),xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31_032,hypothesis,
( X1 = esk1_3(X2,X3,X1)
| aReductOfIn0(esk1_3(X2,X3,X1),X1,xR)
| sdtmndtplgtdt0(esk3_3(X2,X3,X1),xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32_033,hypothesis,
( X2 = esk4_3(X1,X2,X3)
| aReductOfIn0(esk4_3(X1,X2,X3),X2,xR)
| sdtmndtplgtdt0(esk5_3(X1,X2,X3),xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33_034,hypothesis,
( X3 = esk4_3(X1,X2,X3)
| aReductOfIn0(esk4_3(X1,X2,X3),X3,xR)
| sdtmndtplgtdt0(esk6_3(X1,X2,X3),xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34_035,hypothesis,
( X3 = esk1_3(X2,X3,X1)
| aReductOfIn0(esk1_3(X2,X3,X1),X3,xR)
| aReductOfIn0(esk2_3(X2,X3,X1),X3,xR)
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_35_036,hypothesis,
( X1 = esk1_3(X2,X3,X1)
| aReductOfIn0(esk1_3(X2,X3,X1),X1,xR)
| aReductOfIn0(esk3_3(X2,X3,X1),X1,xR)
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_36_037,hypothesis,
( X3 = esk1_3(X2,X3,X1)
| aReductOfIn0(esk1_3(X2,X3,X1),X3,xR)
| aElement0(esk2_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_37_038,hypothesis,
( X1 = esk1_3(X2,X3,X1)
| aReductOfIn0(esk1_3(X2,X3,X1),X1,xR)
| aElement0(esk3_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_38_039,hypothesis,
( X2 = esk4_3(X1,X2,X3)
| aReductOfIn0(esk4_3(X1,X2,X3),X2,xR)
| aReductOfIn0(esk5_3(X1,X2,X3),X2,xR)
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_39_040,hypothesis,
( X3 = esk4_3(X1,X2,X3)
| aReductOfIn0(esk4_3(X1,X2,X3),X3,xR)
| aReductOfIn0(esk6_3(X1,X2,X3),X3,xR)
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_40_041,hypothesis,
( X2 = esk4_3(X1,X2,X3)
| aReductOfIn0(esk4_3(X1,X2,X3),X2,xR)
| aElement0(esk5_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_41_042,hypothesis,
( X3 = esk4_3(X1,X2,X3)
| aReductOfIn0(esk4_3(X1,X2,X3),X3,xR)
| aElement0(esk6_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_42_043,hypothesis,
( X3 = esk1_3(X2,X3,X1)
| sdtmndtplgtdt0(X3,xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_43_044,hypothesis,
( X1 = esk1_3(X2,X3,X1)
| sdtmndtplgtdt0(X1,xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_44_045,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| ~ sdtmndtplgtdt0(X5,xR,X3)
| ~ aReductOfIn0(X5,X1,xR)
| ~ aElement0(X5) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_45_046,hypothesis,
( sdtmndtasgtdt0(X3,xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_46_047,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_47_048,hypothesis,
( X2 = esk4_3(X1,X2,X3)
| sdtmndtplgtdt0(X2,xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_48_049,hypothesis,
( X3 = esk4_3(X1,X2,X3)
| sdtmndtplgtdt0(X3,xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_49_050,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| ~ sdtmndtplgtdt0(X4,xR,X3)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_50_051,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| ~ aReductOfIn0(X3,X1,xR) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_51_052,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_52_053,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_53_054,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ sdtmndtplgtdt0(X4,xR,X3)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_54_055,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtplgtdt0(X4,xR,X3)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_55_056,hypothesis,
( aElement0(esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_56_057,hypothesis,
( sdtmndtasgtdt0(X2,xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_57_058,hypothesis,
( sdtmndtasgtdt0(X3,xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_58_059,hypothesis,
( aElement0(esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_59_060,negated_conjecture,
( aReductOfIn0(esk13_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xw,xR)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_60_061,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| ~ sdtmndtplgtdt0(X4,xR,X3)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_61_062,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_62_063,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aReductOfIn0(X3,X1,xR) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_63_064,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_64_065,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_65_066,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ aReductOfIn0(X3,X1,xR) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_66_067,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_67_068,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_68_069,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ aReductOfIn0(X3,X1,xR) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_69_070,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_70_071,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_71_072,hypothesis,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X3,xR,X1)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_72_073,negated_conjecture,
( aReductOfIn0(esk13_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,xw,xR) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_73_074,negated_conjecture,
( aReductOfIn0(esk13_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(xw,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_74_075,negated_conjecture,
( aReductOfIn0(esk13_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(xw,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_75_076,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| ~ aReductOfIn0(X3,X1,xR) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_76_077,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_77_078,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_78_079,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_79_080,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_80_081,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_81_082,hypothesis,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aReductOfIn0(X1,X2,xR) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_82_083,hypothesis,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_83_084,hypothesis,
( xu = xw
| aReductOfIn0(xw,xu,xR)
| aReductOfIn0(esk11_0,xu,xR) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_84_085,hypothesis,
( xu = xw
| aReductOfIn0(xw,xu,xR)
| sdtmndtplgtdt0(esk11_0,xR,xw) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_85_086,hypothesis,
( xv = xw
| aReductOfIn0(xw,xv,xR)
| aReductOfIn0(esk12_0,xv,xR) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_86_087,hypothesis,
( xv = xw
| aReductOfIn0(xw,xv,xR)
| sdtmndtplgtdt0(esk12_0,xR,xw) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_87_088,hypothesis,
( xv = xc
| aReductOfIn0(xc,xv,xR)
| aReductOfIn0(esk10_0,xv,xR) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_88_089,hypothesis,
( xv = xc
| aReductOfIn0(xc,xv,xR)
| sdtmndtplgtdt0(esk10_0,xR,xc) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_89_090,hypothesis,
( xu = xb
| aReductOfIn0(xb,xu,xR)
| aReductOfIn0(esk9_0,xu,xR) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_90_091,hypothesis,
( xu = xb
| aReductOfIn0(xb,xu,xR)
| sdtmndtplgtdt0(esk9_0,xR,xb) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_91_092,hypothesis,
( aReductOfIn0(xb,xa,xR)
| aReductOfIn0(esk7_0,xa,xR) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_92_093,hypothesis,
( aReductOfIn0(xb,xa,xR)
| sdtmndtplgtdt0(esk7_0,xR,xb) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_93_094,hypothesis,
( aReductOfIn0(xc,xa,xR)
| aReductOfIn0(esk8_0,xa,xR) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_94_095,hypothesis,
( aReductOfIn0(xc,xa,xR)
| sdtmndtplgtdt0(esk8_0,xR,xc) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_95_096,negated_conjecture,
~ aNormalFormOfIn0(X1,xw,xR),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_96_097,negated_conjecture,
( aReductOfIn0(esk13_1(X1),X1,xR)
| ~ aElement0(X1)
| xw != X1 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_97_098,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_98_099,hypothesis,
( xu = xw
| aReductOfIn0(xw,xu,xR)
| aElement0(esk11_0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_99_100,hypothesis,
( xv = xw
| aReductOfIn0(xw,xv,xR)
| aElement0(esk12_0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_100_101,hypothesis,
( xv = xc
| aReductOfIn0(xc,xv,xR)
| aElement0(esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_101_102,hypothesis,
( xu = xb
| aReductOfIn0(xb,xu,xR)
| aElement0(esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_102_103,hypothesis,
( aReductOfIn0(xb,xa,xR)
| aElement0(esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_103_104,hypothesis,
( aReductOfIn0(xc,xa,xR)
| aElement0(esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_104_105,hypothesis,
( xu = xw
| sdtmndtplgtdt0(xu,xR,xw) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_105_106,hypothesis,
( xv = xw
| sdtmndtplgtdt0(xv,xR,xw) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_106_107,hypothesis,
( xv = xc
| sdtmndtplgtdt0(xv,xR,xc) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_107_108,hypothesis,
( xu = xb
| sdtmndtplgtdt0(xu,xR,xb) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_108_109,hypothesis,
sdtmndtasgtdt0(xu,xR,xw),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_109_110,hypothesis,
sdtmndtasgtdt0(xv,xR,xw),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_110_111,hypothesis,
aReductOfIn0(xv,xa,xR),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_111_112,hypothesis,
sdtmndtasgtdt0(xv,xR,xc),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_112_113,hypothesis,
aReductOfIn0(xu,xa,xR),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_113_114,hypothesis,
sdtmndtasgtdt0(xu,xR,xb),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_114_115,hypothesis,
sdtmndtplgtdt0(xa,xR,xb),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_115_116,hypothesis,
sdtmndtplgtdt0(xa,xR,xc),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_116_117,hypothesis,
aElement0(xw),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_117_118,hypothesis,
aElement0(xv),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_118_119,hypothesis,
aElement0(xu),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_119_120,hypothesis,
aElement0(xa),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_120_121,hypothesis,
aElement0(xb),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_121_122,hypothesis,
aElement0(xc),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_122_123,hypothesis,
isLocallyConfluent0(xR),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_123_124,hypothesis,
isTerminating0(xR),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_124_125,hypothesis,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_125_126,hypothesis,
( esk1_3(X2,X3,X1) = X3
| aReductOfIn0(esk1_3(X2,X3,X1),X3,xR)
| sdtmndtplgtdt0(esk2_3(X2,X3,X1),xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_30,
[final] ).
cnf(c_0_126_127,hypothesis,
( esk1_3(X2,X3,X1) = X1
| aReductOfIn0(esk1_3(X2,X3,X1),X1,xR)
| sdtmndtplgtdt0(esk3_3(X2,X3,X1),xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_31,
[final] ).
cnf(c_0_127_128,hypothesis,
( esk4_3(X1,X2,X3) = X2
| aReductOfIn0(esk4_3(X1,X2,X3),X2,xR)
| sdtmndtplgtdt0(esk5_3(X1,X2,X3),xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_32,
[final] ).
cnf(c_0_128,hypothesis,
( esk4_3(X1,X2,X3) = X3
| aReductOfIn0(esk4_3(X1,X2,X3),X3,xR)
| sdtmndtplgtdt0(esk6_3(X1,X2,X3),xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_33,
[final] ).
cnf(c_0_129,hypothesis,
( esk1_3(X2,X3,X1) = X3
| aReductOfIn0(esk1_3(X2,X3,X1),X3,xR)
| aReductOfIn0(esk2_3(X2,X3,X1),X3,xR)
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_34,
[final] ).
cnf(c_0_130,hypothesis,
( esk1_3(X2,X3,X1) = X1
| aReductOfIn0(esk1_3(X2,X3,X1),X1,xR)
| aReductOfIn0(esk3_3(X2,X3,X1),X1,xR)
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_35,
[final] ).
cnf(c_0_131,hypothesis,
( esk1_3(X2,X3,X1) = X3
| aReductOfIn0(esk1_3(X2,X3,X1),X3,xR)
| aElement0(esk2_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_36,
[final] ).
cnf(c_0_132,hypothesis,
( esk1_3(X2,X3,X1) = X1
| aReductOfIn0(esk1_3(X2,X3,X1),X1,xR)
| aElement0(esk3_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_37,
[final] ).
cnf(c_0_133,hypothesis,
( esk4_3(X1,X2,X3) = X2
| aReductOfIn0(esk4_3(X1,X2,X3),X2,xR)
| aReductOfIn0(esk5_3(X1,X2,X3),X2,xR)
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_38,
[final] ).
cnf(c_0_134,hypothesis,
( esk4_3(X1,X2,X3) = X3
| aReductOfIn0(esk4_3(X1,X2,X3),X3,xR)
| aReductOfIn0(esk6_3(X1,X2,X3),X3,xR)
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_39,
[final] ).
cnf(c_0_135,hypothesis,
( esk4_3(X1,X2,X3) = X2
| aReductOfIn0(esk4_3(X1,X2,X3),X2,xR)
| aElement0(esk5_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_40,
[final] ).
cnf(c_0_136,hypothesis,
( esk4_3(X1,X2,X3) = X3
| aReductOfIn0(esk4_3(X1,X2,X3),X3,xR)
| aElement0(esk6_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_41,
[final] ).
cnf(c_0_137,hypothesis,
( esk1_3(X2,X3,X1) = X3
| sdtmndtplgtdt0(X3,xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_42,
[final] ).
cnf(c_0_138,hypothesis,
( esk1_3(X2,X3,X1) = X1
| sdtmndtplgtdt0(X1,xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_43,
[final] ).
cnf(c_0_139,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| ~ sdtmndtplgtdt0(X5,xR,X3)
| ~ aReductOfIn0(X5,X1,xR)
| ~ aElement0(X5) ),
c_0_44,
[final] ).
cnf(c_0_140,hypothesis,
( sdtmndtasgtdt0(X3,xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_45,
[final] ).
cnf(c_0_141,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_46,
[final] ).
cnf(c_0_142,hypothesis,
( esk4_3(X1,X2,X3) = X2
| sdtmndtplgtdt0(X2,xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_47,
[final] ).
cnf(c_0_143,hypothesis,
( esk4_3(X1,X2,X3) = X3
| sdtmndtplgtdt0(X3,xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_48,
[final] ).
cnf(c_0_144,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| ~ sdtmndtplgtdt0(X4,xR,X3)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4) ),
c_0_49,
[final] ).
cnf(c_0_145,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| ~ aReductOfIn0(X3,X1,xR) ),
c_0_50,
[final] ).
cnf(c_0_146,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
c_0_51,
[final] ).
cnf(c_0_147,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
c_0_52,
[final] ).
cnf(c_0_148,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ sdtmndtplgtdt0(X4,xR,X3)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4) ),
c_0_53,
[final] ).
cnf(c_0_149,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtplgtdt0(X4,xR,X3)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4) ),
c_0_54,
[final] ).
cnf(c_0_150,hypothesis,
( aElement0(esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_55,
[final] ).
cnf(c_0_151,hypothesis,
( sdtmndtasgtdt0(X2,xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_56,
[final] ).
cnf(c_0_152,hypothesis,
( sdtmndtasgtdt0(X3,xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_57,
[final] ).
cnf(c_0_153,hypothesis,
( aElement0(esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_58,
[final] ).
cnf(c_0_154,negated_conjecture,
( aReductOfIn0(esk13_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xw,xR)
| ~ aElement0(X2) ),
c_0_59,
[final] ).
cnf(c_0_155,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| ~ sdtmndtplgtdt0(X4,xR,X3)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4) ),
c_0_60,
[final] ).
cnf(c_0_156,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| X1 != X3 ),
c_0_61,
[final] ).
cnf(c_0_157,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aReductOfIn0(X3,X1,xR) ),
c_0_62,
[final] ).
cnf(c_0_158,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
c_0_63,
[final] ).
cnf(c_0_159,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
c_0_64,
[final] ).
cnf(c_0_160,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ aReductOfIn0(X3,X1,xR) ),
c_0_65,
[final] ).
cnf(c_0_161,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
c_0_66,
[final] ).
cnf(c_0_162,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
c_0_67,
[final] ).
cnf(c_0_163,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ aReductOfIn0(X3,X1,xR) ),
c_0_68,
[final] ).
cnf(c_0_164,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
c_0_69,
[final] ).
cnf(c_0_165,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
c_0_70,
[final] ).
cnf(c_0_166,hypothesis,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X3,xR,X1)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X3) ),
c_0_71,
[final] ).
cnf(c_0_167,negated_conjecture,
( aReductOfIn0(esk13_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,xw,xR) ),
c_0_72,
[final] ).
cnf(c_0_168,negated_conjecture,
( aReductOfIn0(esk13_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(xw,xR,X1) ),
c_0_73,
[final] ).
cnf(c_0_169,negated_conjecture,
( aReductOfIn0(esk13_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(xw,xR,X1) ),
c_0_74,
[final] ).
cnf(c_0_170,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| ~ aReductOfIn0(X3,X1,xR) ),
c_0_75,
[final] ).
cnf(c_0_171,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
c_0_76,
[final] ).
cnf(c_0_172,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
c_0_77,
[final] ).
cnf(c_0_173,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| X1 != X3 ),
c_0_78,
[final] ).
cnf(c_0_174,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| X1 != X3 ),
c_0_79,
[final] ).
cnf(c_0_175,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| X1 != X3 ),
c_0_80,
[final] ).
cnf(c_0_176,hypothesis,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aReductOfIn0(X1,X2,xR) ),
c_0_81,
[final] ).
cnf(c_0_177,hypothesis,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X1) ),
c_0_82,
[final] ).
cnf(c_0_178,hypothesis,
( xw = xu
| aReductOfIn0(xw,xu,xR)
| aReductOfIn0(esk11_0,xu,xR) ),
c_0_83,
[final] ).
cnf(c_0_179,hypothesis,
( xw = xu
| aReductOfIn0(xw,xu,xR)
| sdtmndtplgtdt0(esk11_0,xR,xw) ),
c_0_84,
[final] ).
cnf(c_0_180,hypothesis,
( xw = xv
| aReductOfIn0(xw,xv,xR)
| aReductOfIn0(esk12_0,xv,xR) ),
c_0_85,
[final] ).
cnf(c_0_181,hypothesis,
( xw = xv
| aReductOfIn0(xw,xv,xR)
| sdtmndtplgtdt0(esk12_0,xR,xw) ),
c_0_86,
[final] ).
cnf(c_0_182,hypothesis,
( xv = xc
| aReductOfIn0(xc,xv,xR)
| aReductOfIn0(esk10_0,xv,xR) ),
c_0_87,
[final] ).
cnf(c_0_183,hypothesis,
( xv = xc
| aReductOfIn0(xc,xv,xR)
| sdtmndtplgtdt0(esk10_0,xR,xc) ),
c_0_88,
[final] ).
cnf(c_0_184,hypothesis,
( xu = xb
| aReductOfIn0(xb,xu,xR)
| aReductOfIn0(esk9_0,xu,xR) ),
c_0_89,
[final] ).
cnf(c_0_185,hypothesis,
( xu = xb
| aReductOfIn0(xb,xu,xR)
| sdtmndtplgtdt0(esk9_0,xR,xb) ),
c_0_90,
[final] ).
cnf(c_0_186,hypothesis,
( aReductOfIn0(xb,xa,xR)
| aReductOfIn0(esk7_0,xa,xR) ),
c_0_91,
[final] ).
cnf(c_0_187,hypothesis,
( aReductOfIn0(xb,xa,xR)
| sdtmndtplgtdt0(esk7_0,xR,xb) ),
c_0_92,
[final] ).
cnf(c_0_188,hypothesis,
( aReductOfIn0(xc,xa,xR)
| aReductOfIn0(esk8_0,xa,xR) ),
c_0_93,
[final] ).
cnf(c_0_189,hypothesis,
( aReductOfIn0(xc,xa,xR)
| sdtmndtplgtdt0(esk8_0,xR,xc) ),
c_0_94,
[final] ).
cnf(c_0_190,negated_conjecture,
~ aNormalFormOfIn0(X1,xw,xR),
c_0_95,
[final] ).
cnf(c_0_191,negated_conjecture,
( aReductOfIn0(esk13_1(X1),X1,xR)
| ~ aElement0(X1)
| xw != X1 ),
c_0_96,
[final] ).
cnf(c_0_192,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| X1 != X3 ),
c_0_97,
[final] ).
cnf(c_0_193,hypothesis,
( xw = xu
| aReductOfIn0(xw,xu,xR)
| aElement0(esk11_0) ),
c_0_98,
[final] ).
cnf(c_0_194,hypothesis,
( xw = xv
| aReductOfIn0(xw,xv,xR)
| aElement0(esk12_0) ),
c_0_99,
[final] ).
cnf(c_0_195,hypothesis,
( xv = xc
| aReductOfIn0(xc,xv,xR)
| aElement0(esk10_0) ),
c_0_100,
[final] ).
cnf(c_0_196,hypothesis,
( xu = xb
| aReductOfIn0(xb,xu,xR)
| aElement0(esk9_0) ),
c_0_101,
[final] ).
cnf(c_0_197,hypothesis,
( aReductOfIn0(xb,xa,xR)
| aElement0(esk7_0) ),
c_0_102,
[final] ).
cnf(c_0_198,hypothesis,
( aReductOfIn0(xc,xa,xR)
| aElement0(esk8_0) ),
c_0_103,
[final] ).
cnf(c_0_199,hypothesis,
( xw = xu
| sdtmndtplgtdt0(xu,xR,xw) ),
c_0_104,
[final] ).
cnf(c_0_200,hypothesis,
( xw = xv
| sdtmndtplgtdt0(xv,xR,xw) ),
c_0_105,
[final] ).
cnf(c_0_201,hypothesis,
( xv = xc
| sdtmndtplgtdt0(xv,xR,xc) ),
c_0_106,
[final] ).
cnf(c_0_202,hypothesis,
( xu = xb
| sdtmndtplgtdt0(xu,xR,xb) ),
c_0_107,
[final] ).
cnf(c_0_203,hypothesis,
sdtmndtasgtdt0(xu,xR,xw),
c_0_108,
[final] ).
cnf(c_0_204,hypothesis,
sdtmndtasgtdt0(xv,xR,xw),
c_0_109,
[final] ).
cnf(c_0_205,hypothesis,
aReductOfIn0(xv,xa,xR),
c_0_110,
[final] ).
cnf(c_0_206,hypothesis,
sdtmndtasgtdt0(xv,xR,xc),
c_0_111,
[final] ).
cnf(c_0_207,hypothesis,
aReductOfIn0(xu,xa,xR),
c_0_112,
[final] ).
cnf(c_0_208,hypothesis,
sdtmndtasgtdt0(xu,xR,xb),
c_0_113,
[final] ).
cnf(c_0_209,hypothesis,
sdtmndtplgtdt0(xa,xR,xb),
c_0_114,
[final] ).
cnf(c_0_210,hypothesis,
sdtmndtplgtdt0(xa,xR,xc),
c_0_115,
[final] ).
cnf(c_0_211,hypothesis,
aElement0(xw),
c_0_116,
[final] ).
cnf(c_0_212,hypothesis,
aElement0(xv),
c_0_117,
[final] ).
cnf(c_0_213,hypothesis,
aElement0(xu),
c_0_118,
[final] ).
cnf(c_0_214,hypothesis,
aElement0(xa),
c_0_119,
[final] ).
cnf(c_0_215,hypothesis,
aElement0(xb),
c_0_120,
[final] ).
cnf(c_0_216,hypothesis,
aElement0(xc),
c_0_121,
[final] ).
cnf(c_0_217,hypothesis,
isLocallyConfluent0(xR),
c_0_122,
[final] ).
cnf(c_0_218,hypothesis,
isTerminating0(xR),
c_0_123,
[final] ).
cnf(c_0_219,hypothesis,
aRewritingSystem0(xR),
c_0_124,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_273,negated_conjecture,
~ aNormalFormOfIn0(X0,xw,xR),
file('/export/starexec/sandbox2/tmp/iprover_modulo_fe6d64.p',c_0_190) ).
cnf(c_530,negated_conjecture,
~ aNormalFormOfIn0(X0,xw,xR),
inference(copy,[status(esa)],[c_273]) ).
cnf(c_621,negated_conjecture,
~ aNormalFormOfIn0(X0,xw,xR),
inference(copy,[status(esa)],[c_530]) ).
cnf(c_656,negated_conjecture,
~ aNormalFormOfIn0(X0,xw,xR),
inference(copy,[status(esa)],[c_621]) ).
cnf(c_1982,negated_conjecture,
~ aNormalFormOfIn0(X0,xw,xR),
inference(copy,[status(esa)],[c_656]) ).
cnf(c_2270,negated_conjecture,
~ aNormalFormOfIn0(X0,xw,xR),
inference(copy,[status(esa)],[c_1982]) ).
cnf(c_42314,plain,
~ aNormalFormOfIn0(sk1_esk13_2(xR,xw),xw,xR),
inference(instantiation,[status(thm)],[c_2270]) ).
cnf(c_51,plain,
( aNormalFormOfIn0(sk1_esk13_2(X0,X1),X1,X0)
| ~ aElement0(X1)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_fe6d64.p',c_0_108_3) ).
cnf(c_2111,plain,
( aNormalFormOfIn0(sk1_esk13_2(X0,X1),X1,X0)
| ~ aElement0(X1)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0) ),
inference(copy,[status(esa)],[c_51]) ).
cnf(c_41785,plain,
( ~ aRewritingSystem0(X0)
| ~ aElement0(xw)
| ~ isTerminating0(X0)
| aNormalFormOfIn0(sk1_esk13_2(X0,xw),xw,X0) ),
inference(instantiation,[status(thm)],[c_2111]) ).
cnf(c_41786,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xw)
| ~ isTerminating0(xR)
| aNormalFormOfIn0(sk1_esk13_2(xR,xw),xw,xR) ),
inference(instantiation,[status(thm)],[c_41785]) ).
cnf(c_282,plain,
aElement0(xw),
file('/export/starexec/sandbox2/tmp/iprover_modulo_fe6d64.p',c_0_211) ).
cnf(c_289,plain,
isTerminating0(xR),
file('/export/starexec/sandbox2/tmp/iprover_modulo_fe6d64.p',c_0_218) ).
cnf(c_290,plain,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/tmp/iprover_modulo_fe6d64.p',c_0_219) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_42314,c_41786,c_282,c_289,c_290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COM018+4 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 17:39:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.20/0.42 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.42 % FOF problem with conjecture
% 0.20/0.42 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_230ef8.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_fe6d64.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_2a4489 | grep -v "SZS"
% 0.20/0.45
% 0.20/0.45 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.45
% 0.20/0.45 %
% 0.20/0.45 % ------ iProver source info
% 0.20/0.45
% 0.20/0.45 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.45 % git: non_committed_changes: true
% 0.20/0.45 % git: last_make_outside_of_git: true
% 0.20/0.45
% 0.20/0.45 %
% 0.20/0.45 % ------ Input Options
% 0.20/0.45
% 0.20/0.45 % --out_options all
% 0.20/0.45 % --tptp_safe_out true
% 0.20/0.45 % --problem_path ""
% 0.20/0.45 % --include_path ""
% 0.20/0.45 % --clausifier .//eprover
% 0.20/0.45 % --clausifier_options --tstp-format
% 0.20/0.45 % --stdin false
% 0.20/0.45 % --dbg_backtrace false
% 0.20/0.45 % --dbg_dump_prop_clauses false
% 0.20/0.45 % --dbg_dump_prop_clauses_file -
% 0.20/0.45 % --dbg_out_stat false
% 0.20/0.45
% 0.20/0.45 % ------ General Options
% 0.20/0.45
% 0.20/0.45 % --fof false
% 0.20/0.45 % --time_out_real 150.
% 0.20/0.45 % --time_out_prep_mult 0.2
% 0.20/0.45 % --time_out_virtual -1.
% 0.20/0.45 % --schedule none
% 0.20/0.45 % --ground_splitting input
% 0.20/0.45 % --splitting_nvd 16
% 0.20/0.45 % --non_eq_to_eq false
% 0.20/0.45 % --prep_gs_sim true
% 0.20/0.45 % --prep_unflatten false
% 0.20/0.45 % --prep_res_sim true
% 0.20/0.45 % --prep_upred true
% 0.20/0.45 % --res_sim_input true
% 0.20/0.45 % --clause_weak_htbl true
% 0.20/0.45 % --gc_record_bc_elim false
% 0.20/0.45 % --symbol_type_check false
% 0.20/0.45 % --clausify_out false
% 0.20/0.45 % --large_theory_mode false
% 0.20/0.45 % --prep_sem_filter none
% 0.20/0.45 % --prep_sem_filter_out false
% 0.20/0.45 % --preprocessed_out false
% 0.20/0.45 % --sub_typing false
% 0.20/0.45 % --brand_transform false
% 0.20/0.45 % --pure_diseq_elim true
% 0.20/0.45 % --min_unsat_core false
% 0.20/0.45 % --pred_elim true
% 0.20/0.45 % --add_important_lit false
% 0.20/0.45 % --soft_assumptions false
% 0.20/0.45 % --reset_solvers false
% 0.20/0.45 % --bc_imp_inh []
% 0.20/0.45 % --conj_cone_tolerance 1.5
% 0.20/0.45 % --prolific_symb_bound 500
% 0.20/0.45 % --lt_threshold 2000
% 0.20/0.45
% 0.20/0.45 % ------ SAT Options
% 0.20/0.45
% 0.20/0.45 % --sat_mode false
% 0.20/0.45 % --sat_fm_restart_options ""
% 0.20/0.45 % --sat_gr_def false
% 0.20/0.45 % --sat_epr_types true
% 0.20/0.45 % --sat_non_cyclic_types false
% 0.20/0.45 % --sat_finite_models false
% 0.20/0.45 % --sat_fm_lemmas false
% 0.20/0.45 % --sat_fm_prep false
% 0.20/0.45 % --sat_fm_uc_incr true
% 0.20/0.45 % --sat_out_model small
% 0.20/0.45 % --sat_out_clauses false
% 0.20/0.45
% 0.20/0.45 % ------ QBF Options
% 0.20/0.45
% 0.20/0.45 % --qbf_mode false
% 0.20/0.45 % --qbf_elim_univ true
% 0.20/0.45 % --qbf_sk_in true
% 0.20/0.45 % --qbf_pred_elim true
% 0.20/0.45 % --qbf_split 32
% 0.20/0.45
% 0.20/0.45 % ------ BMC1 Options
% 0.20/0.45
% 0.20/0.45 % --bmc1_incremental false
% 0.20/0.45 % --bmc1_axioms reachable_all
% 0.20/0.45 % --bmc1_min_bound 0
% 0.20/0.45 % --bmc1_max_bound -1
% 0.20/0.45 % --bmc1_max_bound_default -1
% 0.20/0.45 % --bmc1_symbol_reachability true
% 0.20/0.45 % --bmc1_property_lemmas false
% 0.20/0.45 % --bmc1_k_induction false
% 0.20/0.45 % --bmc1_non_equiv_states false
% 0.20/0.45 % --bmc1_deadlock false
% 0.20/0.45 % --bmc1_ucm false
% 0.20/0.45 % --bmc1_add_unsat_core none
% 0.20/0.45 % --bmc1_unsat_core_children false
% 0.20/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.45 % --bmc1_out_stat full
% 0.20/0.45 % --bmc1_ground_init false
% 0.20/0.45 % --bmc1_pre_inst_next_state false
% 0.20/0.45 % --bmc1_pre_inst_state false
% 0.20/0.45 % --bmc1_pre_inst_reach_state false
% 0.20/0.45 % --bmc1_out_unsat_core false
% 0.20/0.45 % --bmc1_aig_witness_out false
% 0.20/0.45 % --bmc1_verbose false
% 0.20/0.45 % --bmc1_dump_clauses_tptp false
% 0.20/0.52 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.52 % --bmc1_dump_file -
% 0.20/0.52 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.52 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.52 % --bmc1_ucm_extend_mode 1
% 0.20/0.52 % --bmc1_ucm_init_mode 2
% 0.20/0.52 % --bmc1_ucm_cone_mode none
% 0.20/0.52 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.52 % --bmc1_ucm_relax_model 4
% 0.20/0.52 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.52 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.52 % --bmc1_ucm_layered_model none
% 0.20/0.52 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.52
% 0.20/0.52 % ------ AIG Options
% 0.20/0.52
% 0.20/0.52 % --aig_mode false
% 0.20/0.52
% 0.20/0.52 % ------ Instantiation Options
% 0.20/0.52
% 0.20/0.52 % --instantiation_flag true
% 0.20/0.52 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.52 % --inst_solver_per_active 750
% 0.20/0.52 % --inst_solver_calls_frac 0.5
% 0.20/0.52 % --inst_passive_queue_type priority_queues
% 0.20/0.52 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.52 % --inst_passive_queues_freq [25;2]
% 0.20/0.52 % --inst_dismatching true
% 0.20/0.52 % --inst_eager_unprocessed_to_passive true
% 0.20/0.52 % --inst_prop_sim_given true
% 0.20/0.52 % --inst_prop_sim_new false
% 0.20/0.52 % --inst_orphan_elimination true
% 0.20/0.52 % --inst_learning_loop_flag true
% 0.20/0.52 % --inst_learning_start 3000
% 0.20/0.52 % --inst_learning_factor 2
% 0.20/0.52 % --inst_start_prop_sim_after_learn 3
% 0.20/0.52 % --inst_sel_renew solver
% 0.20/0.52 % --inst_lit_activity_flag true
% 0.20/0.52 % --inst_out_proof true
% 0.20/0.52
% 0.20/0.52 % ------ Resolution Options
% 0.20/0.52
% 0.20/0.52 % --resolution_flag true
% 0.20/0.52 % --res_lit_sel kbo_max
% 0.20/0.52 % --res_to_prop_solver none
% 0.20/0.52 % --res_prop_simpl_new false
% 0.20/0.52 % --res_prop_simpl_given false
% 0.20/0.52 % --res_passive_queue_type priority_queues
% 0.20/0.52 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.52 % --res_passive_queues_freq [15;5]
% 0.20/0.52 % --res_forward_subs full
% 0.20/0.52 % --res_backward_subs full
% 0.20/0.52 % --res_forward_subs_resolution true
% 0.20/0.52 % --res_backward_subs_resolution true
% 0.20/0.52 % --res_orphan_elimination false
% 0.20/0.52 % --res_time_limit 1000.
% 0.20/0.52 % --res_out_proof true
% 0.20/0.52 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_230ef8.s
% 0.20/0.52 % --modulo true
% 0.20/0.52
% 0.20/0.52 % ------ Combination Options
% 0.20/0.52
% 0.20/0.52 % --comb_res_mult 1000
% 0.20/0.52 % --comb_inst_mult 300
% 0.20/0.52 % ------
% 0.20/0.52
% 0.20/0.52 % ------ Parsing...% successful
% 0.20/0.52
% 0.20/0.52 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe:1:0s pe:2:0s pe_e snvd_s sp: 0 0s snvd_e %
% 0.20/0.52
% 0.20/0.52 % ------ Proving...
% 0.20/0.52 % ------ Problem Properties
% 0.20/0.52
% 0.20/0.52 %
% 0.20/0.52 % EPR false
% 0.20/0.52 % Horn false
% 0.20/0.52 % Has equality true
% 0.20/0.52
% 0.20/0.52 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 % % ------ Current options:
% 0.20/0.52
% 0.20/0.52 % ------ Input Options
% 0.20/0.52
% 0.20/0.52 % --out_options all
% 0.20/0.52 % --tptp_safe_out true
% 0.20/0.52 % --problem_path ""
% 0.20/0.52 % --include_path ""
% 0.20/0.52 % --clausifier .//eprover
% 0.20/0.52 % --clausifier_options --tstp-format
% 0.20/0.52 % --stdin false
% 0.20/0.52 % --dbg_backtrace false
% 0.20/0.52 % --dbg_dump_prop_clauses false
% 0.20/0.52 % --dbg_dump_prop_clauses_file -
% 0.20/0.52 % --dbg_out_stat false
% 0.20/0.52
% 0.20/0.52 % ------ General Options
% 0.20/0.52
% 0.20/0.52 % --fof false
% 0.20/0.52 % --time_out_real 150.
% 0.20/0.52 % --time_out_prep_mult 0.2
% 0.20/0.52 % --time_out_virtual -1.
% 0.20/0.52 % --schedule none
% 0.20/0.52 % --ground_splitting input
% 0.20/0.52 % --splitting_nvd 16
% 0.20/0.52 % --non_eq_to_eq false
% 0.20/0.52 % --prep_gs_sim true
% 0.20/0.52 % --prep_unflatten false
% 0.20/0.52 % --prep_res_sim true
% 0.20/0.52 % --prep_upred true
% 0.20/0.52 % --res_sim_input true
% 0.20/0.52 % --clause_weak_htbl true
% 0.20/0.52 % --gc_record_bc_elim false
% 0.20/0.52 % --symbol_type_check false
% 0.20/0.52 % --clausify_out false
% 0.20/0.52 % --large_theory_mode false
% 0.20/0.52 % --prep_sem_filter none
% 0.20/0.52 % --prep_sem_filter_out false
% 0.20/0.52 % --preprocessed_out false
% 0.20/0.52 % --sub_typing false
% 0.20/0.52 % --brand_transform false
% 0.20/0.52 % --pure_diseq_elim true
% 0.20/0.52 % --min_unsat_core false
% 0.20/0.52 % --pred_elim true
% 0.20/0.52 % --add_important_lit false
% 0.20/0.52 % --soft_assumptions false
% 0.20/0.52 % --reset_solvers false
% 0.20/0.52 % --bc_imp_inh []
% 0.20/0.52 % --conj_cone_tolerance 1.5
% 0.20/0.52 % --prolific_symb_bound 500
% 0.20/0.52 % --lt_threshold 2000
% 0.20/0.52
% 0.20/0.52 % ------ SAT Options
% 0.20/0.52
% 0.20/0.52 % --sat_mode false
% 0.20/0.52 % --sat_fm_restart_options ""
% 0.20/0.52 % --sat_gr_def false
% 0.20/0.52 % --sat_epr_types true
% 0.20/0.52 % --sat_non_cyclic_types false
% 0.20/0.52 % --sat_finite_models false
% 0.20/0.52 % --sat_fm_lemmas false
% 0.20/0.52 % --sat_fm_prep false
% 0.20/0.52 % --sat_fm_uc_incr true
% 0.20/0.52 % --sat_out_model small
% 0.20/0.52 % --sat_out_clauses false
% 0.20/0.52
% 0.20/0.52 % ------ QBF Options
% 0.20/0.52
% 0.20/0.52 % --qbf_mode false
% 0.20/0.52 % --qbf_elim_univ true
% 0.20/0.52 % --qbf_sk_in true
% 0.20/0.52 % --qbf_pred_elim true
% 0.20/0.52 % --qbf_split 32
% 0.20/0.52
% 0.20/0.52 % ------ BMC1 Options
% 0.20/0.52
% 0.20/0.52 % --bmc1_incremental false
% 0.20/0.52 % --bmc1_axioms reachable_all
% 0.20/0.52 % --bmc1_min_bound 0
% 0.20/0.52 % --bmc1_max_bound -1
% 0.20/0.52 % --bmc1_max_bound_default -1
% 0.20/0.52 % --bmc1_symbol_reachability true
% 0.20/0.52 % --bmc1_property_lemmas false
% 0.20/0.52 % --bmc1_k_induction false
% 0.20/0.52 % --bmc1_non_equiv_states false
% 0.20/0.52 % --bmc1_deadlock false
% 0.20/0.52 % --bmc1_ucm false
% 0.20/0.52 % --bmc1_add_unsat_core none
% 0.20/0.52 % --bmc1_unsat_core_children false
% 0.20/0.52 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.52 % --bmc1_out_stat full
% 0.20/0.52 % --bmc1_ground_init false
% 0.20/0.52 % --bmc1_pre_inst_next_state false
% 0.20/0.52 % --bmc1_pre_inst_state false
% 0.20/0.52 % --bmc1_pre_inst_reach_state false
% 0.20/0.52 % --bmc1_out_unsat_core false
% 0.20/0.52 % --bmc1_aig_witness_out false
% 0.20/0.52 % --bmc1_verbose false
% 0.20/0.52 % --bmc1_dump_clauses_tptp false
% 0.20/0.52 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.52 % --bmc1_dump_file -
% 0.20/0.52 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.52 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.52 % --bmc1_ucm_extend_mode 1
% 0.20/0.52 % --bmc1_ucm_init_mode 2
% 0.20/0.52 % --bmc1_ucm_cone_mode none
% 0.20/0.52 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.52 % --bmc1_ucm_relax_model 4
% 0.20/0.52 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.52 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.52 % --bmc1_ucm_layered_model none
% 0.20/0.52 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.52
% 0.20/0.52 % ------ AIG Options
% 0.20/0.52
% 0.20/0.52 % --aig_mode false
% 0.20/0.52
% 0.20/0.52 % ------ Instantiation Options
% 0.20/0.52
% 0.20/0.52 % --instantiation_flag true
% 0.20/0.52 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.52 % --inst_solver_per_active 750
% 0.20/0.52 % --inst_solver_calls_frac 0.5
% 0.20/0.52 % --inst_passive_queue_type priority_queues
% 0.20/0.52 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.52 % --inst_passive_queues_freq [25;2]
% 0.20/0.52 % --inst_dismatching true
% 0.20/0.52 % --inst_eager_unprocessed_to_passive true
% 0.20/0.52 % --inst_prop_sim_given true
% 150.23/150.45 % --inst_prop_sim_new false
% 150.23/150.45 % --inst_orphan_elimination true
% 150.23/150.45 % --inst_learning_loop_flag true
% 150.23/150.45 % --inst_learning_start 3000
% 150.23/150.45 % --inst_learning_factor 2
% 150.23/150.45 % --inst_start_prop_sim_after_learn 3
% 150.23/150.45 % --inst_sel_renew solver
% 150.23/150.45 % --inst_lit_activity_flag true
% 150.23/150.45 % --inst_out_proof true
% 150.23/150.45
% 150.23/150.45 % ------ Resolution Options
% 150.23/150.45
% 150.23/150.45 % --resolution_flag true
% 150.23/150.45 % --res_lit_sel kbo_max
% 150.23/150.45 % --res_to_prop_solver none
% 150.23/150.45 % --res_prop_simpl_new false
% 150.23/150.45 % --res_prop_simpl_given false
% 150.23/150.45 % --res_passive_queue_type priority_queues
% 150.23/150.45 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.23/150.45 % --res_passive_queues_freq [15;5]
% 150.23/150.45 % --res_forward_subs full
% 150.23/150.45 % --res_backward_subs full
% 150.23/150.45 % --res_forward_subs_resolution true
% 150.23/150.45 % --res_backward_subs_resolution true
% 150.23/150.45 % --res_orphan_elimination false
% 150.23/150.45 % --res_time_limit 1000.
% 150.23/150.45 % --res_out_proof true
% 150.23/150.45 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_230ef8.s
% 150.23/150.45 % --modulo true
% 150.23/150.45
% 150.23/150.45 % ------ Combination Options
% 150.23/150.45
% 150.23/150.45 % --comb_res_mult 1000
% 150.23/150.45 % --comb_inst_mult 300
% 150.23/150.45 % ------
% 150.23/150.45
% 150.23/150.45
% 150.23/150.45
% 150.23/150.45 % ------ Proving...
% 150.23/150.45 %
% 150.23/150.45
% 150.23/150.45
% 150.23/150.45 % Time Out Real
% 150.23/150.45
% 150.23/150.45 % ------ Statistics
% 150.23/150.45
% 150.23/150.45 % ------ General
% 150.23/150.45
% 150.23/150.45 % num_of_input_clauses: 208
% 150.23/150.45 % num_of_input_neg_conjectures: 6
% 150.23/150.45 % num_of_splits: 0
% 150.23/150.45 % num_of_split_atoms: 0
% 150.23/150.45 % num_of_sem_filtered_clauses: 0
% 150.23/150.45 % num_of_subtypes: 0
% 150.23/150.45 % monotx_restored_types: 0
% 150.23/150.45 % sat_num_of_epr_types: 0
% 150.23/150.45 % sat_num_of_non_cyclic_types: 0
% 150.23/150.45 % sat_guarded_non_collapsed_types: 0
% 150.23/150.45 % is_epr: 0
% 150.23/150.45 % is_horn: 0
% 150.23/150.45 % has_eq: 1
% 150.23/150.45 % num_pure_diseq_elim: 0
% 150.23/150.45 % simp_replaced_by: 0
% 150.23/150.45 % res_preprocessed: 101
% 150.23/150.45 % prep_upred: 0
% 150.23/150.45 % prep_unflattend: 66
% 150.23/150.45 % pred_elim_cands: 5
% 150.23/150.45 % pred_elim: 3
% 150.23/150.45 % pred_elim_cl: 3
% 150.23/150.45 % pred_elim_cycles: 5
% 150.23/150.45 % forced_gc_time: 0
% 150.23/150.45 % gc_basic_clause_elim: 0
% 150.23/150.45 % parsing_time: 0.011
% 150.23/150.45 % sem_filter_time: 0.
% 150.23/150.45 % pred_elim_time: 0.037
% 150.23/150.45 % out_proof_time: 0.
% 150.23/150.45 % monotx_time: 0.
% 150.23/150.45 % subtype_inf_time: 0.
% 150.23/150.45 % unif_index_cands_time: 0.017
% 150.23/150.45 % unif_index_add_time: 0.008
% 150.23/150.45 % total_time: 150.018
% 150.23/150.45 % num_of_symbols: 69
% 150.23/150.45 % num_of_terms: 6832
% 150.23/150.45
% 150.23/150.45 % ------ Propositional Solver
% 150.23/150.45
% 150.23/150.45 % prop_solver_calls: 5
% 150.23/150.45 % prop_fast_solver_calls: 1295
% 150.23/150.45 % prop_num_of_clauses: 766
% 150.23/150.45 % prop_preprocess_simplified: 2308
% 150.23/150.45 % prop_fo_subsumed: 33
% 150.23/150.45 % prop_solver_time: 0.
% 150.23/150.45 % prop_fast_solver_time: 0.001
% 150.23/150.45 % prop_unsat_core_time: 0.
% 150.23/150.45
% 150.23/150.45 % ------ QBF
% 150.23/150.45
% 150.23/150.45 % qbf_q_res: 0
% 150.23/150.45 % qbf_num_tautologies: 0
% 150.23/150.45 % qbf_prep_cycles: 0
% 150.23/150.45
% 150.23/150.45 % ------ BMC1
% 150.23/150.45
% 150.23/150.45 % bmc1_current_bound: -1
% 150.23/150.45 % bmc1_last_solved_bound: -1
% 150.23/150.45 % bmc1_unsat_core_size: -1
% 150.23/150.45 % bmc1_unsat_core_parents_size: -1
% 150.23/150.45 % bmc1_merge_next_fun: 0
% 150.23/150.45 % bmc1_unsat_core_clauses_time: 0.
% 150.23/150.45
% 150.23/150.45 % ------ Instantiation
% 150.23/150.45
% 150.23/150.45 % inst_num_of_clauses: 503
% 150.23/150.45 % inst_num_in_passive: 181
% 150.23/150.45 % inst_num_in_active: 282
% 150.23/150.45 % inst_num_in_unprocessed: 39
% 150.23/150.45 % inst_num_of_loops: 300
% 150.23/150.45 % inst_num_of_learning_restarts: 0
% 150.23/150.45 % inst_num_moves_active_passive: 17
% 150.23/150.45 % inst_lit_activity: 72
% 150.23/150.45 % inst_lit_activity_moves: 0
% 150.23/150.45 % inst_num_tautologies: 0
% 150.23/150.45 % inst_num_prop_implied: 0
% 150.23/150.45 % inst_num_existing_simplified: 0
% 150.23/150.45 % inst_num_eq_res_simplified: 1
% 150.23/150.45 % inst_num_child_elim: 0
% 150.23/150.45 % inst_num_of_dismatching_blockings: 0
% 150.23/150.45 % inst_num_of_non_proper_insts: 276
% 150.23/150.45 % inst_num_of_duplicates: 104
% 150.23/150.45 % inst_inst_num_from_inst_to_res: 0
% 150.23/150.45 % inst_dismatching_checking_time: 0.
% 150.23/150.45
% 150.23/150.45 % ------ Resolution
% 150.23/150.45
% 150.23/150.45 % res_num_of_clauses: 25663
% 150.23/150.45 % res_num_in_passive: 24206
% 150.23/150.45 % res_num_in_active: 1356
% 150.23/150.45 % res_num_of_loops: 1663
% 150.23/150.45 % res_forward_subset_subsumed: 17005
% 150.23/150.45 % res_backward_subset_subsumed: 11
% 150.23/150.45 % res_forward_subsumed: 342
% 150.23/150.45 % res_backward_subsumed: 1
% 150.23/150.45 % res_forward_subsumption_resolution: 3820
% 150.23/150.45 % res_backward_subsumption_resolution: 19
% 150.23/150.45 % res_clause_to_clause_subsumption: 494357
% 150.23/150.45 % res_orphan_elimination: 0
% 150.23/150.45 % res_tautology_del: 38
% 150.23/150.45 % res_num_eq_res_simplified: 13
% 150.23/150.45 % res_num_sel_changes: 0
% 150.23/150.45 % res_moves_from_active_to_pass: 0
% 150.23/150.45
% 150.23/150.45 % Status Unknown
% 150.30/150.51 % Orienting using strategy ClausalAll
% 150.30/150.51 % FOF problem with conjecture
% 150.30/150.51 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_230ef8.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_fe6d64.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_3d825d | grep -v "SZS"
% 150.30/150.53
% 150.30/150.53 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.30/150.53
% 150.30/150.53 %
% 150.30/150.53 % ------ iProver source info
% 150.30/150.53
% 150.30/150.53 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.30/150.53 % git: non_committed_changes: true
% 150.30/150.53 % git: last_make_outside_of_git: true
% 150.30/150.53
% 150.30/150.53 %
% 150.30/150.53 % ------ Input Options
% 150.30/150.53
% 150.30/150.53 % --out_options all
% 150.30/150.53 % --tptp_safe_out true
% 150.30/150.53 % --problem_path ""
% 150.30/150.53 % --include_path ""
% 150.30/150.53 % --clausifier .//eprover
% 150.30/150.53 % --clausifier_options --tstp-format
% 150.30/150.53 % --stdin false
% 150.30/150.53 % --dbg_backtrace false
% 150.30/150.53 % --dbg_dump_prop_clauses false
% 150.30/150.53 % --dbg_dump_prop_clauses_file -
% 150.30/150.53 % --dbg_out_stat false
% 150.30/150.53
% 150.30/150.53 % ------ General Options
% 150.30/150.53
% 150.30/150.53 % --fof false
% 150.30/150.53 % --time_out_real 150.
% 150.30/150.53 % --time_out_prep_mult 0.2
% 150.30/150.53 % --time_out_virtual -1.
% 150.30/150.53 % --schedule none
% 150.30/150.53 % --ground_splitting input
% 150.30/150.53 % --splitting_nvd 16
% 150.30/150.53 % --non_eq_to_eq false
% 150.30/150.53 % --prep_gs_sim true
% 150.30/150.53 % --prep_unflatten false
% 150.30/150.53 % --prep_res_sim true
% 150.30/150.53 % --prep_upred true
% 150.30/150.53 % --res_sim_input true
% 150.30/150.53 % --clause_weak_htbl true
% 150.30/150.53 % --gc_record_bc_elim false
% 150.30/150.53 % --symbol_type_check false
% 150.30/150.53 % --clausify_out false
% 150.30/150.53 % --large_theory_mode false
% 150.30/150.53 % --prep_sem_filter none
% 150.30/150.53 % --prep_sem_filter_out false
% 150.30/150.53 % --preprocessed_out false
% 150.30/150.53 % --sub_typing false
% 150.30/150.53 % --brand_transform false
% 150.30/150.53 % --pure_diseq_elim true
% 150.30/150.53 % --min_unsat_core false
% 150.30/150.53 % --pred_elim true
% 150.30/150.53 % --add_important_lit false
% 150.30/150.53 % --soft_assumptions false
% 150.30/150.53 % --reset_solvers false
% 150.30/150.53 % --bc_imp_inh []
% 150.30/150.53 % --conj_cone_tolerance 1.5
% 150.30/150.53 % --prolific_symb_bound 500
% 150.30/150.53 % --lt_threshold 2000
% 150.30/150.53
% 150.30/150.53 % ------ SAT Options
% 150.30/150.53
% 150.30/150.53 % --sat_mode false
% 150.30/150.53 % --sat_fm_restart_options ""
% 150.30/150.53 % --sat_gr_def false
% 150.30/150.53 % --sat_epr_types true
% 150.30/150.53 % --sat_non_cyclic_types false
% 150.30/150.53 % --sat_finite_models false
% 150.30/150.53 % --sat_fm_lemmas false
% 150.30/150.53 % --sat_fm_prep false
% 150.30/150.53 % --sat_fm_uc_incr true
% 150.30/150.53 % --sat_out_model small
% 150.30/150.53 % --sat_out_clauses false
% 150.30/150.53
% 150.30/150.53 % ------ QBF Options
% 150.30/150.53
% 150.30/150.53 % --qbf_mode false
% 150.30/150.53 % --qbf_elim_univ true
% 150.30/150.53 % --qbf_sk_in true
% 150.30/150.53 % --qbf_pred_elim true
% 150.30/150.53 % --qbf_split 32
% 150.30/150.53
% 150.30/150.53 % ------ BMC1 Options
% 150.30/150.53
% 150.30/150.53 % --bmc1_incremental false
% 150.30/150.53 % --bmc1_axioms reachable_all
% 150.30/150.53 % --bmc1_min_bound 0
% 150.30/150.53 % --bmc1_max_bound -1
% 150.30/150.53 % --bmc1_max_bound_default -1
% 150.30/150.53 % --bmc1_symbol_reachability true
% 150.30/150.53 % --bmc1_property_lemmas false
% 150.30/150.53 % --bmc1_k_induction false
% 150.30/150.53 % --bmc1_non_equiv_states false
% 150.30/150.53 % --bmc1_deadlock false
% 150.30/150.53 % --bmc1_ucm false
% 150.30/150.53 % --bmc1_add_unsat_core none
% 150.30/150.53 % --bmc1_unsat_core_children false
% 150.30/150.53 % --bmc1_unsat_core_extrapolate_axioms false
% 150.30/150.53 % --bmc1_out_stat full
% 150.30/150.53 % --bmc1_ground_init false
% 150.30/150.53 % --bmc1_pre_inst_next_state false
% 150.30/150.53 % --bmc1_pre_inst_state false
% 150.30/150.53 % --bmc1_pre_inst_reach_state false
% 150.30/150.53 % --bmc1_out_unsat_core false
% 150.30/150.53 % --bmc1_aig_witness_out false
% 150.30/150.53 % --bmc1_verbose false
% 150.30/150.53 % --bmc1_dump_clauses_tptp false
% 150.30/150.57 % --bmc1_dump_unsat_core_tptp false
% 150.30/150.57 % --bmc1_dump_file -
% 150.30/150.57 % --bmc1_ucm_expand_uc_limit 128
% 150.30/150.57 % --bmc1_ucm_n_expand_iterations 6
% 150.30/150.57 % --bmc1_ucm_extend_mode 1
% 150.30/150.57 % --bmc1_ucm_init_mode 2
% 150.30/150.57 % --bmc1_ucm_cone_mode none
% 150.30/150.57 % --bmc1_ucm_reduced_relation_type 0
% 150.30/150.57 % --bmc1_ucm_relax_model 4
% 150.30/150.57 % --bmc1_ucm_full_tr_after_sat true
% 150.30/150.57 % --bmc1_ucm_expand_neg_assumptions false
% 150.30/150.57 % --bmc1_ucm_layered_model none
% 150.30/150.57 % --bmc1_ucm_max_lemma_size 10
% 150.30/150.57
% 150.30/150.57 % ------ AIG Options
% 150.30/150.57
% 150.30/150.57 % --aig_mode false
% 150.30/150.57
% 150.30/150.57 % ------ Instantiation Options
% 150.30/150.57
% 150.30/150.57 % --instantiation_flag true
% 150.30/150.57 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.30/150.57 % --inst_solver_per_active 750
% 150.30/150.57 % --inst_solver_calls_frac 0.5
% 150.30/150.57 % --inst_passive_queue_type priority_queues
% 150.30/150.57 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.30/150.57 % --inst_passive_queues_freq [25;2]
% 150.30/150.57 % --inst_dismatching true
% 150.30/150.57 % --inst_eager_unprocessed_to_passive true
% 150.30/150.57 % --inst_prop_sim_given true
% 150.30/150.57 % --inst_prop_sim_new false
% 150.30/150.57 % --inst_orphan_elimination true
% 150.30/150.57 % --inst_learning_loop_flag true
% 150.30/150.57 % --inst_learning_start 3000
% 150.30/150.57 % --inst_learning_factor 2
% 150.30/150.57 % --inst_start_prop_sim_after_learn 3
% 150.30/150.57 % --inst_sel_renew solver
% 150.30/150.57 % --inst_lit_activity_flag true
% 150.30/150.57 % --inst_out_proof true
% 150.30/150.57
% 150.30/150.57 % ------ Resolution Options
% 150.30/150.57
% 150.30/150.57 % --resolution_flag true
% 150.30/150.57 % --res_lit_sel kbo_max
% 150.30/150.57 % --res_to_prop_solver none
% 150.30/150.57 % --res_prop_simpl_new false
% 150.30/150.57 % --res_prop_simpl_given false
% 150.30/150.57 % --res_passive_queue_type priority_queues
% 150.30/150.57 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.30/150.57 % --res_passive_queues_freq [15;5]
% 150.30/150.57 % --res_forward_subs full
% 150.30/150.57 % --res_backward_subs full
% 150.30/150.57 % --res_forward_subs_resolution true
% 150.30/150.57 % --res_backward_subs_resolution true
% 150.30/150.57 % --res_orphan_elimination false
% 150.30/150.57 % --res_time_limit 1000.
% 150.30/150.57 % --res_out_proof true
% 150.30/150.57 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_230ef8.s
% 150.30/150.57 % --modulo true
% 150.30/150.57
% 150.30/150.57 % ------ Combination Options
% 150.30/150.57
% 150.30/150.57 % --comb_res_mult 1000
% 150.30/150.57 % --comb_inst_mult 300
% 150.30/150.57 % ------
% 150.30/150.57
% 150.30/150.57 % ------ Parsing...% successful
% 150.30/150.57
% 150.30/150.57 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe:1:0s pe:2:0s pe_e snvd_s sp: 0 0s snvd_e %
% 150.30/150.57
% 150.30/150.57 % ------ Proving...
% 150.30/150.57 % ------ Problem Properties
% 150.30/150.57
% 150.30/150.57 %
% 150.30/150.57 % EPR false
% 150.30/150.57 % Horn false
% 150.30/150.57 % Has equality true
% 150.30/150.57
% 150.30/150.57 % % ------ Input Options Time Limit: Unbounded
% 150.30/150.57
% 150.30/150.57
% 150.30/150.57 % % ------ Current options:
% 150.30/150.57
% 150.30/150.57 % ------ Input Options
% 150.30/150.57
% 150.30/150.57 % --out_options all
% 150.30/150.57 % --tptp_safe_out true
% 150.30/150.57 % --problem_path ""
% 150.30/150.57 % --include_path ""
% 150.30/150.57 % --clausifier .//eprover
% 150.30/150.57 % --clausifier_options --tstp-format
% 150.30/150.57 % --stdin false
% 150.30/150.57 % --dbg_backtrace false
% 150.30/150.57 % --dbg_dump_prop_clauses false
% 150.30/150.57 % --dbg_dump_prop_clauses_file -
% 150.30/150.57 % --dbg_out_stat false
% 150.30/150.57
% 150.30/150.57 % ------ General Options
% 150.30/150.57
% 150.30/150.57 % --fof false
% 150.30/150.57 % --time_out_real 150.
% 150.30/150.57 % --time_out_prep_mult 0.2
% 150.30/150.57 % --time_out_virtual -1.
% 150.30/150.57 % --schedule none
% 150.30/150.57 % --ground_splitting input
% 150.30/150.57 % --splitting_nvd 16
% 150.30/150.57 % --non_eq_to_eq false
% 150.30/150.57 % --prep_gs_sim true
% 150.30/150.57 % --prep_unflatten false
% 150.30/150.57 % --prep_res_sim true
% 150.30/150.57 % --prep_upred true
% 150.30/150.57 % --res_sim_input true
% 150.30/150.57 % --clause_weak_htbl true
% 150.30/150.57 % --gc_record_bc_elim false
% 150.30/150.57 % --symbol_type_check false
% 150.30/150.57 % --clausify_out false
% 150.30/150.57 % --large_theory_mode false
% 150.30/150.57 % --prep_sem_filter none
% 150.30/150.57 % --prep_sem_filter_out false
% 150.30/150.57 % --preprocessed_out false
% 150.30/150.57 % --sub_typing false
% 150.30/150.57 % --brand_transform false
% 150.30/150.57 % --pure_diseq_elim true
% 150.30/150.57 % --min_unsat_core false
% 150.30/150.57 % --pred_elim true
% 150.30/150.57 % --add_important_lit false
% 150.30/150.57 % --soft_assumptions false
% 150.30/150.57 % --reset_solvers false
% 150.30/150.57 % --bc_imp_inh []
% 150.30/150.57 % --conj_cone_tolerance 1.5
% 150.30/150.57 % --prolific_symb_bound 500
% 150.30/150.57 % --lt_threshold 2000
% 150.30/150.57
% 150.30/150.57 % ------ SAT Options
% 150.30/150.57
% 150.30/150.57 % --sat_mode false
% 150.30/150.57 % --sat_fm_restart_options ""
% 150.30/150.57 % --sat_gr_def false
% 150.30/150.57 % --sat_epr_types true
% 150.30/150.57 % --sat_non_cyclic_types false
% 150.30/150.57 % --sat_finite_models false
% 150.30/150.57 % --sat_fm_lemmas false
% 150.30/150.57 % --sat_fm_prep false
% 150.30/150.57 % --sat_fm_uc_incr true
% 150.30/150.57 % --sat_out_model small
% 150.30/150.57 % --sat_out_clauses false
% 150.30/150.57
% 150.30/150.57 % ------ QBF Options
% 150.30/150.57
% 150.30/150.57 % --qbf_mode false
% 150.30/150.57 % --qbf_elim_univ true
% 150.30/150.57 % --qbf_sk_in true
% 150.30/150.57 % --qbf_pred_elim true
% 150.30/150.57 % --qbf_split 32
% 150.30/150.57
% 150.30/150.57 % ------ BMC1 Options
% 150.30/150.57
% 150.30/150.57 % --bmc1_incremental false
% 150.30/150.57 % --bmc1_axioms reachable_all
% 150.30/150.57 % --bmc1_min_bound 0
% 150.30/150.57 % --bmc1_max_bound -1
% 150.30/150.57 % --bmc1_max_bound_default -1
% 150.30/150.57 % --bmc1_symbol_reachability true
% 150.30/150.57 % --bmc1_property_lemmas false
% 150.30/150.57 % --bmc1_k_induction false
% 150.30/150.57 % --bmc1_non_equiv_states false
% 150.30/150.57 % --bmc1_deadlock false
% 150.30/150.57 % --bmc1_ucm false
% 150.30/150.57 % --bmc1_add_unsat_core none
% 150.30/150.57 % --bmc1_unsat_core_children false
% 150.30/150.57 % --bmc1_unsat_core_extrapolate_axioms false
% 150.30/150.57 % --bmc1_out_stat full
% 150.30/150.57 % --bmc1_ground_init false
% 150.30/150.57 % --bmc1_pre_inst_next_state false
% 150.30/150.57 % --bmc1_pre_inst_state false
% 150.30/150.57 % --bmc1_pre_inst_reach_state false
% 150.30/150.57 % --bmc1_out_unsat_core false
% 150.30/150.57 % --bmc1_aig_witness_out false
% 150.30/150.57 % --bmc1_verbose false
% 150.30/150.57 % --bmc1_dump_clauses_tptp false
% 150.30/150.57 % --bmc1_dump_unsat_core_tptp false
% 150.30/150.57 % --bmc1_dump_file -
% 150.30/150.57 % --bmc1_ucm_expand_uc_limit 128
% 150.30/150.57 % --bmc1_ucm_n_expand_iterations 6
% 150.30/150.57 % --bmc1_ucm_extend_mode 1
% 150.30/150.57 % --bmc1_ucm_init_mode 2
% 150.30/150.57 % --bmc1_ucm_cone_mode none
% 150.30/150.57 % --bmc1_ucm_reduced_relation_type 0
% 150.30/150.57 % --bmc1_ucm_relax_model 4
% 150.30/150.57 % --bmc1_ucm_full_tr_after_sat true
% 150.30/150.57 % --bmc1_ucm_expand_neg_assumptions false
% 150.30/150.57 % --bmc1_ucm_layered_model none
% 150.30/150.57 % --bmc1_ucm_max_lemma_size 10
% 150.30/150.57
% 150.30/150.57 % ------ AIG Options
% 150.30/150.57
% 150.30/150.57 % --aig_mode false
% 150.30/150.57
% 150.30/150.57 % ------ Instantiation Options
% 150.30/150.57
% 150.30/150.57 % --instantiation_flag true
% 150.30/150.57 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.30/150.57 % --inst_solver_per_active 750
% 150.30/150.57 % --inst_solver_calls_frac 0.5
% 150.30/150.57 % --inst_passive_queue_type priority_queues
% 150.30/150.57 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.30/150.57 % --inst_passive_queues_freq [25;2]
% 150.30/150.57 % --inst_dismatching true
% 150.30/150.57 % --inst_eager_unprocessed_to_passive true
% 150.30/150.57 % --inst_prop_sim_given true
% 152.27/152.49 % --inst_prop_sim_new false
% 152.27/152.49 % --inst_orphan_elimination true
% 152.27/152.49 % --inst_learning_loop_flag true
% 152.27/152.49 % --inst_learning_start 3000
% 152.27/152.49 % --inst_learning_factor 2
% 152.27/152.49 % --inst_start_prop_sim_after_learn 3
% 152.27/152.49 % --inst_sel_renew solver
% 152.27/152.49 % --inst_lit_activity_flag true
% 152.27/152.49 % --inst_out_proof true
% 152.27/152.49
% 152.27/152.49 % ------ Resolution Options
% 152.27/152.49
% 152.27/152.49 % --resolution_flag true
% 152.27/152.49 % --res_lit_sel kbo_max
% 152.27/152.49 % --res_to_prop_solver none
% 152.27/152.49 % --res_prop_simpl_new false
% 152.27/152.49 % --res_prop_simpl_given false
% 152.27/152.49 % --res_passive_queue_type priority_queues
% 152.27/152.49 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 152.27/152.49 % --res_passive_queues_freq [15;5]
% 152.27/152.49 % --res_forward_subs full
% 152.27/152.49 % --res_backward_subs full
% 152.27/152.49 % --res_forward_subs_resolution true
% 152.27/152.49 % --res_backward_subs_resolution true
% 152.27/152.49 % --res_orphan_elimination false
% 152.27/152.49 % --res_time_limit 1000.
% 152.27/152.49 % --res_out_proof true
% 152.27/152.49 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_230ef8.s
% 152.27/152.49 % --modulo true
% 152.27/152.49
% 152.27/152.49 % ------ Combination Options
% 152.27/152.49
% 152.27/152.49 % --comb_res_mult 1000
% 152.27/152.49 % --comb_inst_mult 300
% 152.27/152.49 % ------
% 152.27/152.49
% 152.27/152.49
% 152.27/152.49
% 152.27/152.49 % ------ Proving...
% 152.27/152.49 %
% 152.27/152.49
% 152.27/152.49
% 152.27/152.49 % ------ Statistics
% 152.27/152.49
% 152.27/152.49 % ------ General
% 152.27/152.49
% 152.27/152.49 % num_of_input_clauses: 291
% 152.27/152.49 % num_of_input_neg_conjectures: 6
% 152.27/152.49 % num_of_splits: 0
% 152.27/152.49 % num_of_split_atoms: 0
% 152.27/152.49 % num_of_sem_filtered_clauses: 0
% 152.27/152.49 % num_of_subtypes: 0
% 152.27/152.49 % monotx_restored_types: 0
% 152.27/152.49 % sat_num_of_epr_types: 0
% 152.27/152.49 % sat_num_of_non_cyclic_types: 0
% 152.27/152.49 % sat_guarded_non_collapsed_types: 0
% 152.27/152.49 % is_epr: 0
% 152.27/152.49 % is_horn: 0
% 152.27/152.49 % has_eq: 1
% 152.27/152.49 % num_pure_diseq_elim: 0
% 152.27/152.49 % simp_replaced_by: 0
% 152.27/152.49 % res_preprocessed: 101
% 152.27/152.49 % prep_upred: 0
% 152.27/152.49 % prep_unflattend: 66
% 152.27/152.49 % pred_elim_cands: 5
% 152.27/152.49 % pred_elim: 3
% 152.27/152.49 % pred_elim_cl: 3
% 152.27/152.49 % pred_elim_cycles: 5
% 152.27/152.49 % forced_gc_time: 0
% 152.27/152.49 % gc_basic_clause_elim: 0
% 152.27/152.49 % parsing_time: 0.008
% 152.27/152.49 % sem_filter_time: 0.
% 152.27/152.49 % pred_elim_time: 0.017
% 152.27/152.49 % out_proof_time: 0.
% 152.27/152.49 % monotx_time: 0.
% 152.27/152.49 % subtype_inf_time: 0.
% 152.27/152.49 % unif_index_cands_time: 0.002
% 152.27/152.49 % unif_index_add_time: 0.001
% 152.27/152.49 % total_time: 1.968
% 152.27/152.49 % num_of_symbols: 69
% 152.27/152.49 % num_of_terms: 8780
% 152.27/152.49
% 152.27/152.49 % ------ Propositional Solver
% 152.27/152.49
% 152.27/152.49 % prop_solver_calls: 4
% 152.27/152.49 % prop_fast_solver_calls: 1295
% 152.27/152.49 % prop_num_of_clauses: 828
% 152.27/152.49 % prop_preprocess_simplified: 2681
% 152.27/152.49 % prop_fo_subsumed: 33
% 152.27/152.49 % prop_solver_time: 0.
% 152.27/152.49 % prop_fast_solver_time: 0.
% 152.27/152.49 % prop_unsat_core_time: 0.
% 152.27/152.49
% 152.27/152.49 % ------ QBF
% 152.27/152.49
% 152.27/152.49 % qbf_q_res: 0
% 152.27/152.49 % qbf_num_tautologies: 0
% 152.27/152.49 % qbf_prep_cycles: 0
% 152.27/152.49
% 152.27/152.49 % ------ BMC1
% 152.27/152.49
% 152.27/152.49 % bmc1_current_bound: -1
% 152.27/152.49 % bmc1_last_solved_bound: -1
% 152.27/152.49 % bmc1_unsat_core_size: -1
% 152.27/152.49 % bmc1_unsat_core_parents_size: -1
% 152.27/152.49 % bmc1_merge_next_fun: 0
% 152.27/152.49 % bmc1_unsat_core_clauses_time: 0.
% 152.27/152.49
% 152.27/152.49 % ------ Instantiation
% 152.27/152.49
% 152.27/152.49 % inst_num_of_clauses: 622
% 152.27/152.49 % inst_num_in_passive: 182
% 152.27/152.49 % inst_num_in_active: 250
% 152.27/152.49 % inst_num_in_unprocessed: 186
% 152.27/152.49 % inst_num_of_loops: 260
% 152.27/152.49 % inst_num_of_learning_restarts: 0
% 152.27/152.49 % inst_num_moves_active_passive: 8
% 152.27/152.49 % inst_lit_activity: 84
% 152.27/152.49 % inst_lit_activity_moves: 0
% 152.27/152.49 % inst_num_tautologies: 0
% 152.27/152.49 % inst_num_prop_implied: 0
% 152.27/152.49 % inst_num_existing_simplified: 0
% 152.27/152.49 % inst_num_eq_res_simplified: 1
% 152.27/152.49 % inst_num_child_elim: 0
% 152.27/152.49 % inst_num_of_dismatching_blockings: 0
% 152.27/152.49 % inst_num_of_non_proper_insts: 302
% 152.27/152.49 % inst_num_of_duplicates: 146
% 152.27/152.49 % inst_inst_num_from_inst_to_res: 0
% 152.27/152.49 % inst_dismatching_checking_time: 0.
% 152.27/152.49
% 152.27/152.49 % ------ Resolution
% 152.27/152.49
% 152.27/152.49 % res_num_of_clauses: 8406
% 152.27/152.49 % res_num_in_passive: 7480
% 152.27/152.49 % res_num_in_active: 884
% 152.27/152.49 % res_num_of_loops: 1000
% 152.27/152.49 % res_forward_subset_subsumed: 1210
% 152.27/152.49 % res_backward_subset_subsumed: 153
% 152.27/152.49 % res_forward_subsumed: 132
% 152.27/152.49 % res_backward_subsumed: 2
% 152.27/152.49 % res_forward_subsumption_resolution: 807
% 152.27/152.49 % res_backward_subsumption_resolution: 10
% 152.27/152.49 % res_clause_to_clause_subsumption: 41826
% 152.27/152.49 % res_orphan_elimination: 0
% 152.27/152.49 % res_tautology_del: 105
% 152.27/152.49 % res_num_eq_res_simplified: 20
% 152.27/152.49 % res_num_sel_changes: 0
% 152.27/152.49 % res_moves_from_active_to_pass: 0
% 152.27/152.49
% 152.27/152.49 % Status Unsatisfiable
% 152.27/152.49 % SZS status Theorem
% 152.27/152.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------