TSTP Solution File: SET789+4 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SET789+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n020.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 : Tue Jul 19 02:16:14 EDT 2022
% Result : Theorem 9.45s 9.69s
% Output : CNFRefutation 9.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 20
% Syntax : Number of formulae : 462 ( 13 unt; 0 def)
% Number of atoms : 1715 ( 89 equ)
% Maximal formula atoms : 103 ( 3 avg)
% Number of connectives : 1937 ( 684 ~;1075 |; 120 &)
% ( 22 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-4 aty)
% Number of functors : 40 ( 40 usr; 8 con; 0-4 aty)
% Number of variables : 1360 ( 42 sgn 189 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X7,X3,X1,X2] :
( greatest_lower_bound(X7,X3,X1,X2)
<=> ( member(X7,X3)
& lower_bound(X7,X1,X3)
& ! [X6] :
( ( member(X6,X2)
& lower_bound(X6,X1,X3) )
=> apply(X1,X6,X7) ) ) ),
file('<stdin>',greatest_lower_bound) ).
fof(c_0_1,axiom,
! [X7,X3,X1,X2] :
( least_upper_bound(X7,X3,X1,X2)
<=> ( member(X7,X3)
& upper_bound(X7,X1,X3)
& ! [X6] :
( ( member(X6,X2)
& upper_bound(X6,X1,X3) )
=> apply(X1,X7,X6) ) ) ),
file('<stdin>',least_upper_bound) ).
fof(c_0_2,axiom,
! [X1,X2,X6] :
( least(X6,X1,X2)
<=> ( member(X6,X2)
& ! [X3] :
( member(X3,X2)
=> apply(X1,X6,X3) ) ) ),
file('<stdin>',least) ).
fof(c_0_3,axiom,
! [X1,X2,X6] :
( greatest(X6,X1,X2)
<=> ( member(X6,X2)
& ! [X3] :
( member(X3,X2)
=> apply(X1,X3,X6) ) ) ),
file('<stdin>',greatest) ).
fof(c_0_4,axiom,
! [X1,X2,X6] :
( lower_bound(X6,X1,X2)
<=> ! [X3] :
( member(X3,X2)
=> apply(X1,X6,X3) ) ),
file('<stdin>',lower_bound) ).
fof(c_0_5,axiom,
! [X1,X2,X6] :
( upper_bound(X6,X1,X2)
<=> ! [X3] :
( member(X3,X2)
=> apply(X1,X3,X6) ) ),
file('<stdin>',upper_bound) ).
fof(c_0_6,axiom,
! [X1,X2,X6] :
( min(X6,X1,X2)
<=> ( member(X6,X2)
& ! [X3] :
( ( member(X3,X2)
& apply(X1,X3,X6) )
=> X6 = X3 ) ) ),
file('<stdin>',min) ).
fof(c_0_7,axiom,
! [X1,X2,X6] :
( max(X6,X1,X2)
<=> ( member(X6,X2)
& ! [X3] :
( ( member(X3,X2)
& apply(X1,X6,X3) )
=> X6 = X3 ) ) ),
file('<stdin>',max) ).
fof(c_0_8,axiom,
! [X1,X2] :
( total_order(X1,X2)
<=> ( order(X1,X2)
& ! [X3,X4] :
( ( member(X3,X2)
& member(X4,X2) )
=> ( apply(X1,X3,X4)
| apply(X1,X4,X3) ) ) ) ),
file('<stdin>',total_order) ).
fof(c_0_9,axiom,
! [X1,X2] :
( order(X1,X2)
<=> ( ! [X3] :
( member(X3,X2)
=> apply(X1,X3,X3) )
& ! [X3,X4] :
( ( member(X3,X2)
& member(X4,X2) )
=> ( ( apply(X1,X3,X4)
& apply(X1,X4,X3) )
=> X3 = X4 ) )
& ! [X3,X4,X5] :
( ( member(X3,X2)
& member(X4,X2)
& member(X5,X2) )
=> ( ( apply(X1,X3,X4)
& apply(X1,X4,X5) )
=> apply(X1,X3,X5) ) ) ) ),
file('<stdin>',order) ).
fof(c_0_10,plain,
! [X2,X1] :
( epred1_2(X1,X2)
<=> ( ! [X3,X4] :
( ( member(X3,X2)
& member(X4,X2) )
=> ( ( apply(X1,X3,X4)
& apply(X1,X4,X3) )
=> X3 = X4 ) )
& ! [X3,X4,X5] :
( ( member(X3,X2)
& member(X4,X2)
& member(X5,X2) )
=> ( ( apply(X1,X3,X4)
& apply(X1,X4,X5) )
=> apply(X1,X3,X5) ) ) ) ),
introduced(definition) ).
fof(c_0_11,axiom,
! [X7,X3,X1,X2] :
( greatest_lower_bound(X7,X3,X1,X2)
<=> ( member(X7,X3)
& lower_bound(X7,X1,X3)
& ! [X6] :
( ( member(X6,X2)
& lower_bound(X6,X1,X3) )
=> apply(X1,X6,X7) ) ) ),
c_0_0 ).
fof(c_0_12,axiom,
! [X7,X3,X1,X2] :
( least_upper_bound(X7,X3,X1,X2)
<=> ( member(X7,X3)
& upper_bound(X7,X1,X3)
& ! [X6] :
( ( member(X6,X2)
& upper_bound(X6,X1,X3) )
=> apply(X1,X7,X6) ) ) ),
c_0_1 ).
fof(c_0_13,axiom,
! [X1,X2,X6] :
( least(X6,X1,X2)
<=> ( member(X6,X2)
& ! [X3] :
( member(X3,X2)
=> apply(X1,X6,X3) ) ) ),
c_0_2 ).
fof(c_0_14,axiom,
! [X1,X2,X6] :
( greatest(X6,X1,X2)
<=> ( member(X6,X2)
& ! [X3] :
( member(X3,X2)
=> apply(X1,X3,X6) ) ) ),
c_0_3 ).
fof(c_0_15,plain,
! [X2,X1] :
( epred1_2(X1,X2)
<=> ( ! [X3,X4] :
( ( member(X3,X2)
& member(X4,X2) )
=> ( ( apply(X1,X3,X4)
& apply(X1,X4,X3) )
=> X3 = X4 ) )
& ! [X3,X4,X5] :
( ( member(X3,X2)
& member(X4,X2)
& member(X5,X2) )
=> ( ( apply(X1,X3,X4)
& apply(X1,X4,X5) )
=> apply(X1,X3,X5) ) ) ) ),
c_0_10 ).
fof(c_0_16,axiom,
! [X1,X2,X6] :
( lower_bound(X6,X1,X2)
<=> ! [X3] :
( member(X3,X2)
=> apply(X1,X6,X3) ) ),
c_0_4 ).
fof(c_0_17,axiom,
! [X1,X2,X6] :
( upper_bound(X6,X1,X2)
<=> ! [X3] :
( member(X3,X2)
=> apply(X1,X3,X6) ) ),
c_0_5 ).
fof(c_0_18,axiom,
! [X1,X2,X6] :
( min(X6,X1,X2)
<=> ( member(X6,X2)
& ! [X3] :
( ( member(X3,X2)
& apply(X1,X3,X6) )
=> X6 = X3 ) ) ),
c_0_6 ).
fof(c_0_19,axiom,
! [X1,X2,X6] :
( max(X6,X1,X2)
<=> ( member(X6,X2)
& ! [X3] :
( ( member(X3,X2)
& apply(X1,X6,X3) )
=> X6 = X3 ) ) ),
c_0_7 ).
fof(c_0_20,axiom,
! [X1,X2] :
( total_order(X1,X2)
<=> ( order(X1,X2)
& ! [X3,X4] :
( ( member(X3,X2)
& member(X4,X2) )
=> ( apply(X1,X3,X4)
| apply(X1,X4,X3) ) ) ) ),
c_0_8 ).
fof(c_0_21,axiom,
! [X1,X2] :
( order(X1,X2)
<=> ( ! [X3] :
( member(X3,X2)
=> apply(X1,X3,X3) )
& epred1_2(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_9,c_0_10,theory(equality,[symmetry])]) ).
fof(c_0_22,plain,
! [X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ( member(X8,X9)
| ~ greatest_lower_bound(X8,X9,X10,X11) )
& ( lower_bound(X8,X10,X9)
| ~ greatest_lower_bound(X8,X9,X10,X11) )
& ( ~ member(X12,X11)
| ~ lower_bound(X12,X10,X9)
| apply(X10,X12,X8)
| ~ greatest_lower_bound(X8,X9,X10,X11) )
& ( member(esk11_4(X13,X14,X15,X16),X16)
| ~ lower_bound(X13,X15,X14)
| ~ member(X13,X14)
| greatest_lower_bound(X13,X14,X15,X16) )
& ( lower_bound(esk11_4(X13,X14,X15,X16),X15,X14)
| ~ lower_bound(X13,X15,X14)
| ~ member(X13,X14)
| greatest_lower_bound(X13,X14,X15,X16) )
& ( ~ apply(X15,esk11_4(X13,X14,X15,X16),X13)
| ~ lower_bound(X13,X15,X14)
| ~ member(X13,X14)
| greatest_lower_bound(X13,X14,X15,X16) ) ),
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_11])])])])])]) ).
fof(c_0_23,plain,
! [X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ( member(X8,X9)
| ~ least_upper_bound(X8,X9,X10,X11) )
& ( upper_bound(X8,X10,X9)
| ~ least_upper_bound(X8,X9,X10,X11) )
& ( ~ member(X12,X11)
| ~ upper_bound(X12,X10,X9)
| apply(X10,X8,X12)
| ~ least_upper_bound(X8,X9,X10,X11) )
& ( member(esk10_4(X13,X14,X15,X16),X16)
| ~ upper_bound(X13,X15,X14)
| ~ member(X13,X14)
| least_upper_bound(X13,X14,X15,X16) )
& ( upper_bound(esk10_4(X13,X14,X15,X16),X15,X14)
| ~ upper_bound(X13,X15,X14)
| ~ member(X13,X14)
| least_upper_bound(X13,X14,X15,X16) )
& ( ~ apply(X15,X13,esk10_4(X13,X14,X15,X16))
| ~ upper_bound(X13,X15,X14)
| ~ member(X13,X14)
| least_upper_bound(X13,X14,X15,X16) ) ),
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_12])])])])])]) ).
fof(c_0_24,plain,
! [X7,X8,X9,X10,X11,X12,X13] :
( ( member(X9,X8)
| ~ least(X9,X7,X8) )
& ( ~ member(X10,X8)
| apply(X7,X9,X10)
| ~ least(X9,X7,X8) )
& ( member(esk7_3(X11,X12,X13),X12)
| ~ member(X13,X12)
| least(X13,X11,X12) )
& ( ~ apply(X11,X13,esk7_3(X11,X12,X13))
| ~ member(X13,X12)
| least(X13,X11,X12) ) ),
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_25,plain,
! [X7,X8,X9,X10,X11,X12,X13] :
( ( member(X9,X8)
| ~ greatest(X9,X7,X8) )
& ( ~ member(X10,X8)
| apply(X7,X10,X9)
| ~ greatest(X9,X7,X8) )
& ( member(esk6_3(X11,X12,X13),X12)
| ~ member(X13,X12)
| greatest(X13,X11,X12) )
& ( ~ apply(X11,esk6_3(X11,X12,X13),X13)
| ~ member(X13,X12)
| greatest(X13,X11,X12) ) ),
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_14])])])])])]) ).
fof(c_0_26,plain,
! [X6,X7,X8,X9,X10,X11,X12,X13,X14] :
( ( ~ member(X8,X6)
| ~ member(X9,X6)
| ~ apply(X7,X8,X9)
| ~ apply(X7,X9,X8)
| X8 = X9
| ~ epred1_2(X7,X6) )
& ( ~ member(X10,X6)
| ~ member(X11,X6)
| ~ member(X12,X6)
| ~ apply(X7,X10,X11)
| ~ apply(X7,X11,X12)
| apply(X7,X10,X12)
| ~ epred1_2(X7,X6) )
& ( member(esk14_2(X13,X14),X13)
| member(esk12_2(X13,X14),X13)
| epred1_2(X14,X13) )
& ( member(esk15_2(X13,X14),X13)
| member(esk12_2(X13,X14),X13)
| epred1_2(X14,X13) )
& ( member(esk16_2(X13,X14),X13)
| member(esk12_2(X13,X14),X13)
| epred1_2(X14,X13) )
& ( apply(X14,esk14_2(X13,X14),esk15_2(X13,X14))
| member(esk12_2(X13,X14),X13)
| epred1_2(X14,X13) )
& ( apply(X14,esk15_2(X13,X14),esk16_2(X13,X14))
| member(esk12_2(X13,X14),X13)
| epred1_2(X14,X13) )
& ( ~ apply(X14,esk14_2(X13,X14),esk16_2(X13,X14))
| member(esk12_2(X13,X14),X13)
| epred1_2(X14,X13) )
& ( member(esk14_2(X13,X14),X13)
| member(esk13_2(X13,X14),X13)
| epred1_2(X14,X13) )
& ( member(esk15_2(X13,X14),X13)
| member(esk13_2(X13,X14),X13)
| epred1_2(X14,X13) )
& ( member(esk16_2(X13,X14),X13)
| member(esk13_2(X13,X14),X13)
| epred1_2(X14,X13) )
& ( apply(X14,esk14_2(X13,X14),esk15_2(X13,X14))
| member(esk13_2(X13,X14),X13)
| epred1_2(X14,X13) )
& ( apply(X14,esk15_2(X13,X14),esk16_2(X13,X14))
| member(esk13_2(X13,X14),X13)
| epred1_2(X14,X13) )
& ( ~ apply(X14,esk14_2(X13,X14),esk16_2(X13,X14))
| member(esk13_2(X13,X14),X13)
| epred1_2(X14,X13) )
& ( member(esk14_2(X13,X14),X13)
| apply(X14,esk12_2(X13,X14),esk13_2(X13,X14))
| epred1_2(X14,X13) )
& ( member(esk15_2(X13,X14),X13)
| apply(X14,esk12_2(X13,X14),esk13_2(X13,X14))
| epred1_2(X14,X13) )
& ( member(esk16_2(X13,X14),X13)
| apply(X14,esk12_2(X13,X14),esk13_2(X13,X14))
| epred1_2(X14,X13) )
& ( apply(X14,esk14_2(X13,X14),esk15_2(X13,X14))
| apply(X14,esk12_2(X13,X14),esk13_2(X13,X14))
| epred1_2(X14,X13) )
& ( apply(X14,esk15_2(X13,X14),esk16_2(X13,X14))
| apply(X14,esk12_2(X13,X14),esk13_2(X13,X14))
| epred1_2(X14,X13) )
& ( ~ apply(X14,esk14_2(X13,X14),esk16_2(X13,X14))
| apply(X14,esk12_2(X13,X14),esk13_2(X13,X14))
| epred1_2(X14,X13) )
& ( member(esk14_2(X13,X14),X13)
| apply(X14,esk13_2(X13,X14),esk12_2(X13,X14))
| epred1_2(X14,X13) )
& ( member(esk15_2(X13,X14),X13)
| apply(X14,esk13_2(X13,X14),esk12_2(X13,X14))
| epred1_2(X14,X13) )
& ( member(esk16_2(X13,X14),X13)
| apply(X14,esk13_2(X13,X14),esk12_2(X13,X14))
| epred1_2(X14,X13) )
& ( apply(X14,esk14_2(X13,X14),esk15_2(X13,X14))
| apply(X14,esk13_2(X13,X14),esk12_2(X13,X14))
| epred1_2(X14,X13) )
& ( apply(X14,esk15_2(X13,X14),esk16_2(X13,X14))
| apply(X14,esk13_2(X13,X14),esk12_2(X13,X14))
| epred1_2(X14,X13) )
& ( ~ apply(X14,esk14_2(X13,X14),esk16_2(X13,X14))
| apply(X14,esk13_2(X13,X14),esk12_2(X13,X14))
| epred1_2(X14,X13) )
& ( member(esk14_2(X13,X14),X13)
| esk12_2(X13,X14) != esk13_2(X13,X14)
| epred1_2(X14,X13) )
& ( member(esk15_2(X13,X14),X13)
| esk12_2(X13,X14) != esk13_2(X13,X14)
| epred1_2(X14,X13) )
& ( member(esk16_2(X13,X14),X13)
| esk12_2(X13,X14) != esk13_2(X13,X14)
| epred1_2(X14,X13) )
& ( apply(X14,esk14_2(X13,X14),esk15_2(X13,X14))
| esk12_2(X13,X14) != esk13_2(X13,X14)
| epred1_2(X14,X13) )
& ( apply(X14,esk15_2(X13,X14),esk16_2(X13,X14))
| esk12_2(X13,X14) != esk13_2(X13,X14)
| epred1_2(X14,X13) )
& ( ~ apply(X14,esk14_2(X13,X14),esk16_2(X13,X14))
| esk12_2(X13,X14) != esk13_2(X13,X14)
| epred1_2(X14,X13) ) ),
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_15])])])])])]) ).
fof(c_0_27,plain,
! [X7,X8,X9,X10,X11,X12,X13] :
( ( ~ lower_bound(X9,X7,X8)
| ~ member(X10,X8)
| apply(X7,X9,X10) )
& ( member(esk5_3(X11,X12,X13),X12)
| lower_bound(X13,X11,X12) )
& ( ~ apply(X11,X13,esk5_3(X11,X12,X13))
| lower_bound(X13,X11,X12) ) ),
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_28,plain,
! [X7,X8,X9,X10,X11,X12,X13] :
( ( ~ upper_bound(X9,X7,X8)
| ~ member(X10,X8)
| apply(X7,X10,X9) )
& ( member(esk4_3(X11,X12,X13),X12)
| upper_bound(X13,X11,X12) )
& ( ~ apply(X11,esk4_3(X11,X12,X13),X13)
| upper_bound(X13,X11,X12) ) ),
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_17])])])])])]) ).
fof(c_0_29,plain,
! [X7,X8,X9,X10,X11,X12,X13] :
( ( member(X9,X8)
| ~ min(X9,X7,X8) )
& ( ~ member(X10,X8)
| ~ apply(X7,X10,X9)
| X9 = X10
| ~ min(X9,X7,X8) )
& ( member(esk9_3(X11,X12,X13),X12)
| ~ member(X13,X12)
| min(X13,X11,X12) )
& ( apply(X11,esk9_3(X11,X12,X13),X13)
| ~ member(X13,X12)
| min(X13,X11,X12) )
& ( X13 != esk9_3(X11,X12,X13)
| ~ member(X13,X12)
| min(X13,X11,X12) ) ),
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_18])])])])])]) ).
fof(c_0_30,plain,
! [X7,X8,X9,X10,X11,X12,X13] :
( ( member(X9,X8)
| ~ max(X9,X7,X8) )
& ( ~ member(X10,X8)
| ~ apply(X7,X9,X10)
| X9 = X10
| ~ max(X9,X7,X8) )
& ( member(esk8_3(X11,X12,X13),X12)
| ~ member(X13,X12)
| max(X13,X11,X12) )
& ( apply(X11,X13,esk8_3(X11,X12,X13))
| ~ member(X13,X12)
| max(X13,X11,X12) )
& ( X13 != esk8_3(X11,X12,X13)
| ~ member(X13,X12)
| max(X13,X11,X12) ) ),
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_19])])])])])]) ).
fof(c_0_31,plain,
! [X5,X6,X7,X8,X9,X10] :
( ( order(X5,X6)
| ~ total_order(X5,X6) )
& ( ~ member(X7,X6)
| ~ member(X8,X6)
| apply(X5,X7,X8)
| apply(X5,X8,X7)
| ~ total_order(X5,X6) )
& ( member(esk2_2(X9,X10),X10)
| ~ order(X9,X10)
| total_order(X9,X10) )
& ( member(esk3_2(X9,X10),X10)
| ~ order(X9,X10)
| total_order(X9,X10) )
& ( ~ apply(X9,esk2_2(X9,X10),esk3_2(X9,X10))
| ~ order(X9,X10)
| total_order(X9,X10) )
& ( ~ apply(X9,esk3_2(X9,X10),esk2_2(X9,X10))
| ~ order(X9,X10)
| total_order(X9,X10) ) ),
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_20])])])])])]) ).
fof(c_0_32,plain,
! [X4,X5,X6,X7,X8] :
( ( ~ member(X6,X5)
| apply(X4,X6,X6)
| ~ order(X4,X5) )
& ( epred1_2(X4,X5)
| ~ order(X4,X5) )
& ( member(esk1_2(X7,X8),X8)
| ~ epred1_2(X7,X8)
| order(X7,X8) )
& ( ~ apply(X7,esk1_2(X7,X8),esk1_2(X7,X8))
| ~ epred1_2(X7,X8)
| order(X7,X8) ) ),
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_21])])])])])]) ).
cnf(c_0_33,plain,
( greatest_lower_bound(X1,X2,X3,X4)
| ~ member(X1,X2)
| ~ lower_bound(X1,X3,X2)
| ~ apply(X3,esk11_4(X1,X2,X3,X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,plain,
( least_upper_bound(X1,X2,X3,X4)
| ~ member(X1,X2)
| ~ upper_bound(X1,X3,X2)
| ~ apply(X3,X1,esk10_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35,plain,
( greatest_lower_bound(X1,X2,X3,X4)
| lower_bound(esk11_4(X1,X2,X3,X4),X3,X2)
| ~ member(X1,X2)
| ~ lower_bound(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_36,plain,
( least_upper_bound(X1,X2,X3,X4)
| upper_bound(esk10_4(X1,X2,X3,X4),X3,X2)
| ~ member(X1,X2)
| ~ upper_bound(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_37,plain,
( greatest_lower_bound(X1,X2,X3,X4)
| member(esk11_4(X1,X2,X3,X4),X4)
| ~ member(X1,X2)
| ~ lower_bound(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_38,plain,
( least_upper_bound(X1,X2,X3,X4)
| member(esk10_4(X1,X2,X3,X4),X4)
| ~ member(X1,X2)
| ~ upper_bound(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_39,plain,
( apply(X3,X5,X1)
| ~ greatest_lower_bound(X1,X2,X3,X4)
| ~ lower_bound(X5,X3,X2)
| ~ member(X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_40,plain,
( apply(X3,X1,X5)
| ~ least_upper_bound(X1,X2,X3,X4)
| ~ upper_bound(X5,X3,X2)
| ~ member(X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_41,plain,
( lower_bound(X1,X3,X2)
| ~ greatest_lower_bound(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_42,plain,
( upper_bound(X1,X3,X2)
| ~ least_upper_bound(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_43,plain,
( member(X1,X2)
| ~ greatest_lower_bound(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_44,plain,
( member(X1,X2)
| ~ least_upper_bound(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_45,plain,
( least(X1,X2,X3)
| ~ member(X1,X3)
| ~ apply(X2,X1,esk7_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_46,plain,
( greatest(X1,X2,X3)
| ~ member(X1,X3)
| ~ apply(X2,esk6_3(X2,X3,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_47,plain,
( apply(X1,X3,X4)
| ~ epred1_2(X1,X2)
| ~ apply(X1,X5,X4)
| ~ apply(X1,X3,X5)
| ~ member(X4,X2)
| ~ member(X5,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_48,plain,
( lower_bound(X1,X2,X3)
| ~ apply(X2,X1,esk5_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_49,plain,
( upper_bound(X1,X2,X3)
| ~ apply(X2,esk4_3(X2,X3,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_50,plain,
( epred1_2(X1,X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk14_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_51,plain,
( epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk14_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_52,plain,
( X3 = X4
| ~ epred1_2(X1,X2)
| ~ apply(X1,X4,X3)
| ~ apply(X1,X3,X4)
| ~ member(X4,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_53,plain,
( min(X1,X2,X3)
| apply(X2,esk9_3(X2,X3,X1),X1)
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_54,plain,
( max(X1,X2,X3)
| apply(X2,X1,esk8_3(X2,X3,X1))
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_55,plain,
( epred1_2(X1,X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| apply(X1,esk14_2(X2,X1),esk15_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_56,plain,
( epred1_2(X1,X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_57,plain,
( epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk12_2(X2,X1))
| apply(X1,esk14_2(X2,X1),esk15_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_58,plain,
( epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk12_2(X2,X1))
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_59,plain,
( epred1_2(X1,X2)
| esk12_2(X2,X1) != esk13_2(X2,X1)
| ~ apply(X1,esk14_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_60,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| ~ apply(X1,esk14_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_61,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| ~ apply(X1,esk14_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_62,plain,
( total_order(X1,X2)
| ~ order(X1,X2)
| ~ apply(X1,esk2_2(X1,X2),esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_63,plain,
( total_order(X1,X2)
| ~ order(X1,X2)
| ~ apply(X1,esk3_2(X1,X2),esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_64,plain,
( order(X1,X2)
| ~ epred1_2(X1,X2)
| ~ apply(X1,esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_65,plain,
( min(X1,X2,X3)
| member(esk9_3(X2,X3,X1),X3)
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_66,plain,
( max(X1,X2,X3)
| member(esk8_3(X2,X3,X1),X3)
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_67,plain,
( least(X1,X2,X3)
| member(esk7_3(X2,X3,X1),X3)
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_68,plain,
( greatest(X1,X2,X3)
| member(esk6_3(X2,X3,X1),X3)
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_69,plain,
( X1 = X4
| ~ min(X1,X2,X3)
| ~ apply(X2,X4,X1)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_70,plain,
( X1 = X4
| ~ max(X1,X2,X3)
| ~ apply(X2,X1,X4)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_71,plain,
( apply(X1,X3,X4)
| apply(X1,X4,X3)
| ~ total_order(X1,X2)
| ~ member(X3,X2)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_72,plain,
( lower_bound(X1,X2,X3)
| member(esk5_3(X2,X3,X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_73,plain,
( upper_bound(X1,X2,X3)
| member(esk4_3(X2,X3,X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_74,plain,
( epred1_2(X1,X2)
| apply(X1,esk14_2(X2,X1),esk15_2(X2,X1))
| esk12_2(X2,X1) != esk13_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_75,plain,
( epred1_2(X1,X2)
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
| esk12_2(X2,X1) != esk13_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_76,plain,
( min(X1,X2,X3)
| ~ member(X1,X3)
| X1 != esk9_3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_77,plain,
( max(X1,X2,X3)
| ~ member(X1,X3)
| X1 != esk8_3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_78,plain,
( apply(X2,X1,X4)
| ~ least(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_79,plain,
( apply(X2,X4,X1)
| ~ greatest(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_80,plain,
( apply(X1,X2,X3)
| ~ member(X3,X4)
| ~ lower_bound(X2,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_81,plain,
( apply(X1,X2,X3)
| ~ member(X2,X4)
| ~ upper_bound(X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_82,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| apply(X1,esk14_2(X2,X1),esk15_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_83,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_84,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| apply(X1,esk14_2(X2,X1),esk15_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_85,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_86,plain,
( epred1_2(X1,X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| member(esk14_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_87,plain,
( epred1_2(X1,X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| member(esk15_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_88,plain,
( epred1_2(X1,X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| member(esk16_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_89,plain,
( epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk12_2(X2,X1))
| member(esk14_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_90,plain,
( epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk12_2(X2,X1))
| member(esk15_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_91,plain,
( epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk12_2(X2,X1))
| member(esk16_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_92,plain,
( member(X1,X3)
| ~ min(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_93,plain,
( member(X1,X3)
| ~ max(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_94,plain,
( member(X1,X3)
| ~ least(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_95,plain,
( member(X1,X3)
| ~ greatest(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_96,plain,
( apply(X1,X3,X3)
| ~ order(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_97,plain,
( epred1_2(X1,X2)
| member(esk14_2(X2,X1),X2)
| esk12_2(X2,X1) != esk13_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_98,plain,
( epred1_2(X1,X2)
| member(esk15_2(X2,X1),X2)
| esk12_2(X2,X1) != esk13_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_99,plain,
( epred1_2(X1,X2)
| member(esk16_2(X2,X1),X2)
| esk12_2(X2,X1) != esk13_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_100,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk14_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_101,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk15_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_102,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk16_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_103,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| member(esk14_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_104,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| member(esk15_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_105,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| member(esk16_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_106,plain,
( total_order(X1,X2)
| member(esk2_2(X1,X2),X2)
| ~ order(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_107,plain,
( total_order(X1,X2)
| member(esk3_2(X1,X2),X2)
| ~ order(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_108,plain,
( order(X1,X2)
| member(esk1_2(X1,X2),X2)
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_109,plain,
( order(X1,X2)
| ~ total_order(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_110,plain,
( epred1_2(X1,X2)
| ~ order(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_111,plain,
( greatest_lower_bound(X1,X2,X3,X4)
| ~ member(X1,X2)
| ~ lower_bound(X1,X3,X2)
| ~ apply(X3,esk11_4(X1,X2,X3,X4),X1) ),
c_0_33,
[final] ).
cnf(c_0_112,plain,
( least_upper_bound(X1,X2,X3,X4)
| ~ member(X1,X2)
| ~ upper_bound(X1,X3,X2)
| ~ apply(X3,X1,esk10_4(X1,X2,X3,X4)) ),
c_0_34,
[final] ).
cnf(c_0_113,plain,
( greatest_lower_bound(X1,X2,X3,X4)
| lower_bound(esk11_4(X1,X2,X3,X4),X3,X2)
| ~ member(X1,X2)
| ~ lower_bound(X1,X3,X2) ),
c_0_35,
[final] ).
cnf(c_0_114,plain,
( least_upper_bound(X1,X2,X3,X4)
| upper_bound(esk10_4(X1,X2,X3,X4),X3,X2)
| ~ member(X1,X2)
| ~ upper_bound(X1,X3,X2) ),
c_0_36,
[final] ).
cnf(c_0_115,plain,
( greatest_lower_bound(X1,X2,X3,X4)
| member(esk11_4(X1,X2,X3,X4),X4)
| ~ member(X1,X2)
| ~ lower_bound(X1,X3,X2) ),
c_0_37,
[final] ).
cnf(c_0_116,plain,
( least_upper_bound(X1,X2,X3,X4)
| member(esk10_4(X1,X2,X3,X4),X4)
| ~ member(X1,X2)
| ~ upper_bound(X1,X3,X2) ),
c_0_38,
[final] ).
cnf(c_0_117,plain,
( apply(X3,X5,X1)
| ~ greatest_lower_bound(X1,X2,X3,X4)
| ~ lower_bound(X5,X3,X2)
| ~ member(X5,X4) ),
c_0_39,
[final] ).
cnf(c_0_118,plain,
( apply(X3,X1,X5)
| ~ least_upper_bound(X1,X2,X3,X4)
| ~ upper_bound(X5,X3,X2)
| ~ member(X5,X4) ),
c_0_40,
[final] ).
cnf(c_0_119,plain,
( lower_bound(X1,X3,X2)
| ~ greatest_lower_bound(X1,X2,X3,X4) ),
c_0_41,
[final] ).
cnf(c_0_120,plain,
( upper_bound(X1,X3,X2)
| ~ least_upper_bound(X1,X2,X3,X4) ),
c_0_42,
[final] ).
cnf(c_0_121,plain,
( member(X1,X2)
| ~ greatest_lower_bound(X1,X2,X3,X4) ),
c_0_43,
[final] ).
cnf(c_0_122,plain,
( member(X1,X2)
| ~ least_upper_bound(X1,X2,X3,X4) ),
c_0_44,
[final] ).
cnf(c_0_123,plain,
( least(X1,X2,X3)
| ~ member(X1,X3)
| ~ apply(X2,X1,esk7_3(X2,X3,X1)) ),
c_0_45,
[final] ).
cnf(c_0_124,plain,
( greatest(X1,X2,X3)
| ~ member(X1,X3)
| ~ apply(X2,esk6_3(X2,X3,X1),X1) ),
c_0_46,
[final] ).
cnf(c_0_125,plain,
( apply(X1,X3,X4)
| ~ epred1_2(X1,X2)
| ~ apply(X1,X5,X4)
| ~ apply(X1,X3,X5)
| ~ member(X4,X2)
| ~ member(X5,X2)
| ~ member(X3,X2) ),
c_0_47,
[final] ).
cnf(c_0_126,plain,
( lower_bound(X1,X2,X3)
| ~ apply(X2,X1,esk5_3(X2,X3,X1)) ),
c_0_48,
[final] ).
cnf(c_0_127,plain,
( upper_bound(X1,X2,X3)
| ~ apply(X2,esk4_3(X2,X3,X1),X1) ),
c_0_49,
[final] ).
cnf(c_0_128,plain,
( epred1_2(X1,X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk14_2(X2,X1),esk16_2(X2,X1)) ),
c_0_50,
[final] ).
cnf(c_0_129,plain,
( epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk14_2(X2,X1),esk16_2(X2,X1)) ),
c_0_51,
[final] ).
cnf(c_0_130,plain,
( X3 = X4
| ~ epred1_2(X1,X2)
| ~ apply(X1,X4,X3)
| ~ apply(X1,X3,X4)
| ~ member(X4,X2)
| ~ member(X3,X2) ),
c_0_52,
[final] ).
cnf(c_0_131,plain,
( min(X1,X2,X3)
| apply(X2,esk9_3(X2,X3,X1),X1)
| ~ member(X1,X3) ),
c_0_53,
[final] ).
cnf(c_0_132,plain,
( max(X1,X2,X3)
| apply(X2,X1,esk8_3(X2,X3,X1))
| ~ member(X1,X3) ),
c_0_54,
[final] ).
cnf(c_0_133,plain,
( epred1_2(X1,X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| apply(X1,esk14_2(X2,X1),esk15_2(X2,X1)) ),
c_0_55,
[final] ).
cnf(c_0_134,plain,
( epred1_2(X1,X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
c_0_56,
[final] ).
cnf(c_0_135,plain,
( epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk12_2(X2,X1))
| apply(X1,esk14_2(X2,X1),esk15_2(X2,X1)) ),
c_0_57,
[final] ).
cnf(c_0_136,plain,
( epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk12_2(X2,X1))
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
c_0_58,
[final] ).
cnf(c_0_137,plain,
( epred1_2(X1,X2)
| esk13_2(X2,X1) != esk12_2(X2,X1)
| ~ apply(X1,esk14_2(X2,X1),esk16_2(X2,X1)) ),
c_0_59,
[final] ).
cnf(c_0_138,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| ~ apply(X1,esk14_2(X2,X1),esk16_2(X2,X1)) ),
c_0_60,
[final] ).
cnf(c_0_139,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| ~ apply(X1,esk14_2(X2,X1),esk16_2(X2,X1)) ),
c_0_61,
[final] ).
cnf(c_0_140,plain,
( total_order(X1,X2)
| ~ order(X1,X2)
| ~ apply(X1,esk2_2(X1,X2),esk3_2(X1,X2)) ),
c_0_62,
[final] ).
cnf(c_0_141,plain,
( total_order(X1,X2)
| ~ order(X1,X2)
| ~ apply(X1,esk3_2(X1,X2),esk2_2(X1,X2)) ),
c_0_63,
[final] ).
cnf(c_0_142,plain,
( order(X1,X2)
| ~ epred1_2(X1,X2)
| ~ apply(X1,esk1_2(X1,X2),esk1_2(X1,X2)) ),
c_0_64,
[final] ).
cnf(c_0_143,plain,
( min(X1,X2,X3)
| member(esk9_3(X2,X3,X1),X3)
| ~ member(X1,X3) ),
c_0_65,
[final] ).
cnf(c_0_144,plain,
( max(X1,X2,X3)
| member(esk8_3(X2,X3,X1),X3)
| ~ member(X1,X3) ),
c_0_66,
[final] ).
cnf(c_0_145,plain,
( least(X1,X2,X3)
| member(esk7_3(X2,X3,X1),X3)
| ~ member(X1,X3) ),
c_0_67,
[final] ).
cnf(c_0_146,plain,
( greatest(X1,X2,X3)
| member(esk6_3(X2,X3,X1),X3)
| ~ member(X1,X3) ),
c_0_68,
[final] ).
cnf(c_0_147,plain,
( X1 = X4
| ~ min(X1,X2,X3)
| ~ apply(X2,X4,X1)
| ~ member(X4,X3) ),
c_0_69,
[final] ).
cnf(c_0_148,plain,
( X1 = X4
| ~ max(X1,X2,X3)
| ~ apply(X2,X1,X4)
| ~ member(X4,X3) ),
c_0_70,
[final] ).
cnf(c_0_149,plain,
( apply(X1,X3,X4)
| apply(X1,X4,X3)
| ~ total_order(X1,X2)
| ~ member(X3,X2)
| ~ member(X4,X2) ),
c_0_71,
[final] ).
cnf(c_0_150,plain,
( lower_bound(X1,X2,X3)
| member(esk5_3(X2,X3,X1),X3) ),
c_0_72,
[final] ).
cnf(c_0_151,plain,
( upper_bound(X1,X2,X3)
| member(esk4_3(X2,X3,X1),X3) ),
c_0_73,
[final] ).
cnf(c_0_152,plain,
( epred1_2(X1,X2)
| apply(X1,esk14_2(X2,X1),esk15_2(X2,X1))
| esk13_2(X2,X1) != esk12_2(X2,X1) ),
c_0_74,
[final] ).
cnf(c_0_153,plain,
( epred1_2(X1,X2)
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
| esk13_2(X2,X1) != esk12_2(X2,X1) ),
c_0_75,
[final] ).
cnf(c_0_154,plain,
( min(X1,X2,X3)
| ~ member(X1,X3)
| esk9_3(X2,X3,X1) != X1 ),
c_0_76,
[final] ).
cnf(c_0_155,plain,
( max(X1,X2,X3)
| ~ member(X1,X3)
| esk8_3(X2,X3,X1) != X1 ),
c_0_77,
[final] ).
cnf(c_0_156,plain,
( apply(X2,X1,X4)
| ~ least(X1,X2,X3)
| ~ member(X4,X3) ),
c_0_78,
[final] ).
cnf(c_0_157,plain,
( apply(X2,X4,X1)
| ~ greatest(X1,X2,X3)
| ~ member(X4,X3) ),
c_0_79,
[final] ).
cnf(c_0_158,plain,
( apply(X1,X2,X3)
| ~ member(X3,X4)
| ~ lower_bound(X2,X1,X4) ),
c_0_80,
[final] ).
cnf(c_0_159,plain,
( apply(X1,X2,X3)
| ~ member(X2,X4)
| ~ upper_bound(X3,X1,X4) ),
c_0_81,
[final] ).
cnf(c_0_160,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| apply(X1,esk14_2(X2,X1),esk15_2(X2,X1)) ),
c_0_82,
[final] ).
cnf(c_0_161,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
c_0_83,
[final] ).
cnf(c_0_162,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| apply(X1,esk14_2(X2,X1),esk15_2(X2,X1)) ),
c_0_84,
[final] ).
cnf(c_0_163,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
c_0_85,
[final] ).
cnf(c_0_164,plain,
( epred1_2(X1,X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| member(esk14_2(X2,X1),X2) ),
c_0_86,
[final] ).
cnf(c_0_165,plain,
( epred1_2(X1,X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| member(esk15_2(X2,X1),X2) ),
c_0_87,
[final] ).
cnf(c_0_166,plain,
( epred1_2(X1,X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| member(esk16_2(X2,X1),X2) ),
c_0_88,
[final] ).
cnf(c_0_167,plain,
( epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk12_2(X2,X1))
| member(esk14_2(X2,X1),X2) ),
c_0_89,
[final] ).
cnf(c_0_168,plain,
( epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk12_2(X2,X1))
| member(esk15_2(X2,X1),X2) ),
c_0_90,
[final] ).
cnf(c_0_169,plain,
( epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk12_2(X2,X1))
| member(esk16_2(X2,X1),X2) ),
c_0_91,
[final] ).
cnf(c_0_170,plain,
( member(X1,X3)
| ~ min(X1,X2,X3) ),
c_0_92,
[final] ).
cnf(c_0_171,plain,
( member(X1,X3)
| ~ max(X1,X2,X3) ),
c_0_93,
[final] ).
cnf(c_0_172,plain,
( member(X1,X3)
| ~ least(X1,X2,X3) ),
c_0_94,
[final] ).
cnf(c_0_173,plain,
( member(X1,X3)
| ~ greatest(X1,X2,X3) ),
c_0_95,
[final] ).
cnf(c_0_174,plain,
( apply(X1,X3,X3)
| ~ order(X1,X2)
| ~ member(X3,X2) ),
c_0_96,
[final] ).
cnf(c_0_175,plain,
( epred1_2(X1,X2)
| member(esk14_2(X2,X1),X2)
| esk13_2(X2,X1) != esk12_2(X2,X1) ),
c_0_97,
[final] ).
cnf(c_0_176,plain,
( epred1_2(X1,X2)
| member(esk15_2(X2,X1),X2)
| esk13_2(X2,X1) != esk12_2(X2,X1) ),
c_0_98,
[final] ).
cnf(c_0_177,plain,
( epred1_2(X1,X2)
| member(esk16_2(X2,X1),X2)
| esk13_2(X2,X1) != esk12_2(X2,X1) ),
c_0_99,
[final] ).
cnf(c_0_178,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk14_2(X2,X1),X2) ),
c_0_100,
[final] ).
cnf(c_0_179,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk15_2(X2,X1),X2) ),
c_0_101,
[final] ).
cnf(c_0_180,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk16_2(X2,X1),X2) ),
c_0_102,
[final] ).
cnf(c_0_181,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| member(esk14_2(X2,X1),X2) ),
c_0_103,
[final] ).
cnf(c_0_182,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| member(esk15_2(X2,X1),X2) ),
c_0_104,
[final] ).
cnf(c_0_183,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| member(esk16_2(X2,X1),X2) ),
c_0_105,
[final] ).
cnf(c_0_184,plain,
( total_order(X1,X2)
| member(esk2_2(X1,X2),X2)
| ~ order(X1,X2) ),
c_0_106,
[final] ).
cnf(c_0_185,plain,
( total_order(X1,X2)
| member(esk3_2(X1,X2),X2)
| ~ order(X1,X2) ),
c_0_107,
[final] ).
cnf(c_0_186,plain,
( order(X1,X2)
| member(esk1_2(X1,X2),X2)
| ~ epred1_2(X1,X2) ),
c_0_108,
[final] ).
cnf(c_0_187,plain,
( order(X1,X2)
| ~ total_order(X1,X2) ),
c_0_109,
[final] ).
cnf(c_0_188,plain,
( epred1_2(X1,X2)
| ~ order(X1,X2) ),
c_0_110,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_111_0,axiom,
( greatest_lower_bound(X1,X2,X3,X4)
| ~ member(X1,X2)
| ~ lower_bound(X1,X3,X2)
| ~ apply(X3,sk1_esk11_4(X1,X2,X3,X4),X1) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_1,axiom,
( ~ member(X1,X2)
| greatest_lower_bound(X1,X2,X3,X4)
| ~ lower_bound(X1,X3,X2)
| ~ apply(X3,sk1_esk11_4(X1,X2,X3,X4),X1) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_2,axiom,
( ~ lower_bound(X1,X3,X2)
| ~ member(X1,X2)
| greatest_lower_bound(X1,X2,X3,X4)
| ~ apply(X3,sk1_esk11_4(X1,X2,X3,X4),X1) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_3,axiom,
( ~ apply(X3,sk1_esk11_4(X1,X2,X3,X4),X1)
| ~ lower_bound(X1,X3,X2)
| ~ member(X1,X2)
| greatest_lower_bound(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_112_0,axiom,
( least_upper_bound(X1,X2,X3,X4)
| ~ member(X1,X2)
| ~ upper_bound(X1,X3,X2)
| ~ apply(X3,X1,sk1_esk10_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_1,axiom,
( ~ member(X1,X2)
| least_upper_bound(X1,X2,X3,X4)
| ~ upper_bound(X1,X3,X2)
| ~ apply(X3,X1,sk1_esk10_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_2,axiom,
( ~ upper_bound(X1,X3,X2)
| ~ member(X1,X2)
| least_upper_bound(X1,X2,X3,X4)
| ~ apply(X3,X1,sk1_esk10_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_3,axiom,
( ~ apply(X3,X1,sk1_esk10_4(X1,X2,X3,X4))
| ~ upper_bound(X1,X3,X2)
| ~ member(X1,X2)
| least_upper_bound(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_113_0,axiom,
( greatest_lower_bound(X1,X2,X3,X4)
| lower_bound(sk1_esk11_4(X1,X2,X3,X4),X3,X2)
| ~ member(X1,X2)
| ~ lower_bound(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_1,axiom,
( lower_bound(sk1_esk11_4(X1,X2,X3,X4),X3,X2)
| greatest_lower_bound(X1,X2,X3,X4)
| ~ member(X1,X2)
| ~ lower_bound(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_2,axiom,
( ~ member(X1,X2)
| lower_bound(sk1_esk11_4(X1,X2,X3,X4),X3,X2)
| greatest_lower_bound(X1,X2,X3,X4)
| ~ lower_bound(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_3,axiom,
( ~ lower_bound(X1,X3,X2)
| ~ member(X1,X2)
| lower_bound(sk1_esk11_4(X1,X2,X3,X4),X3,X2)
| greatest_lower_bound(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_114_0,axiom,
( least_upper_bound(X1,X2,X3,X4)
| upper_bound(sk1_esk10_4(X1,X2,X3,X4),X3,X2)
| ~ member(X1,X2)
| ~ upper_bound(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_1,axiom,
( upper_bound(sk1_esk10_4(X1,X2,X3,X4),X3,X2)
| least_upper_bound(X1,X2,X3,X4)
| ~ member(X1,X2)
| ~ upper_bound(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_2,axiom,
( ~ member(X1,X2)
| upper_bound(sk1_esk10_4(X1,X2,X3,X4),X3,X2)
| least_upper_bound(X1,X2,X3,X4)
| ~ upper_bound(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_3,axiom,
( ~ upper_bound(X1,X3,X2)
| ~ member(X1,X2)
| upper_bound(sk1_esk10_4(X1,X2,X3,X4),X3,X2)
| least_upper_bound(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_115_0,axiom,
( greatest_lower_bound(X1,X2,X3,X4)
| member(sk1_esk11_4(X1,X2,X3,X4),X4)
| ~ member(X1,X2)
| ~ lower_bound(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_1,axiom,
( member(sk1_esk11_4(X1,X2,X3,X4),X4)
| greatest_lower_bound(X1,X2,X3,X4)
| ~ member(X1,X2)
| ~ lower_bound(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_2,axiom,
( ~ member(X1,X2)
| member(sk1_esk11_4(X1,X2,X3,X4),X4)
| greatest_lower_bound(X1,X2,X3,X4)
| ~ lower_bound(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_3,axiom,
( ~ lower_bound(X1,X3,X2)
| ~ member(X1,X2)
| member(sk1_esk11_4(X1,X2,X3,X4),X4)
| greatest_lower_bound(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_116_0,axiom,
( least_upper_bound(X1,X2,X3,X4)
| member(sk1_esk10_4(X1,X2,X3,X4),X4)
| ~ member(X1,X2)
| ~ upper_bound(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_1,axiom,
( member(sk1_esk10_4(X1,X2,X3,X4),X4)
| least_upper_bound(X1,X2,X3,X4)
| ~ member(X1,X2)
| ~ upper_bound(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_2,axiom,
( ~ member(X1,X2)
| member(sk1_esk10_4(X1,X2,X3,X4),X4)
| least_upper_bound(X1,X2,X3,X4)
| ~ upper_bound(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_3,axiom,
( ~ upper_bound(X1,X3,X2)
| ~ member(X1,X2)
| member(sk1_esk10_4(X1,X2,X3,X4),X4)
| least_upper_bound(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_117_0,axiom,
( apply(X3,X5,X1)
| ~ greatest_lower_bound(X1,X2,X3,X4)
| ~ lower_bound(X5,X3,X2)
| ~ member(X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_1,axiom,
( ~ greatest_lower_bound(X1,X2,X3,X4)
| apply(X3,X5,X1)
| ~ lower_bound(X5,X3,X2)
| ~ member(X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_2,axiom,
( ~ lower_bound(X5,X3,X2)
| ~ greatest_lower_bound(X1,X2,X3,X4)
| apply(X3,X5,X1)
| ~ member(X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_3,axiom,
( ~ member(X5,X4)
| ~ lower_bound(X5,X3,X2)
| ~ greatest_lower_bound(X1,X2,X3,X4)
| apply(X3,X5,X1) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_118_0,axiom,
( apply(X3,X1,X5)
| ~ least_upper_bound(X1,X2,X3,X4)
| ~ upper_bound(X5,X3,X2)
| ~ member(X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_1,axiom,
( ~ least_upper_bound(X1,X2,X3,X4)
| apply(X3,X1,X5)
| ~ upper_bound(X5,X3,X2)
| ~ member(X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_2,axiom,
( ~ upper_bound(X5,X3,X2)
| ~ least_upper_bound(X1,X2,X3,X4)
| apply(X3,X1,X5)
| ~ member(X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_3,axiom,
( ~ member(X5,X4)
| ~ upper_bound(X5,X3,X2)
| ~ least_upper_bound(X1,X2,X3,X4)
| apply(X3,X1,X5) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_119_0,axiom,
( lower_bound(X1,X3,X2)
| ~ greatest_lower_bound(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_1,axiom,
( ~ greatest_lower_bound(X1,X2,X3,X4)
| lower_bound(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_120_0,axiom,
( upper_bound(X1,X3,X2)
| ~ least_upper_bound(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_1,axiom,
( ~ least_upper_bound(X1,X2,X3,X4)
| upper_bound(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_121_0,axiom,
( member(X1,X2)
| ~ greatest_lower_bound(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_1,axiom,
( ~ greatest_lower_bound(X1,X2,X3,X4)
| member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_122_0,axiom,
( member(X1,X2)
| ~ least_upper_bound(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_1,axiom,
( ~ least_upper_bound(X1,X2,X3,X4)
| member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_123_0,axiom,
( least(X1,X2,X3)
| ~ member(X1,X3)
| ~ apply(X2,X1,sk1_esk7_3(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_1,axiom,
( ~ member(X1,X3)
| least(X1,X2,X3)
| ~ apply(X2,X1,sk1_esk7_3(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_2,axiom,
( ~ apply(X2,X1,sk1_esk7_3(X2,X3,X1))
| ~ member(X1,X3)
| least(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_124_0,axiom,
( greatest(X1,X2,X3)
| ~ member(X1,X3)
| ~ apply(X2,sk1_esk6_3(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_1,axiom,
( ~ member(X1,X3)
| greatest(X1,X2,X3)
| ~ apply(X2,sk1_esk6_3(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_2,axiom,
( ~ apply(X2,sk1_esk6_3(X2,X3,X1),X1)
| ~ member(X1,X3)
| greatest(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_125_0,axiom,
( apply(X1,X3,X4)
| ~ epred1_2(X1,X2)
| ~ apply(X1,X5,X4)
| ~ apply(X1,X3,X5)
| ~ member(X4,X2)
| ~ member(X5,X2)
| ~ member(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_1,axiom,
( ~ epred1_2(X1,X2)
| apply(X1,X3,X4)
| ~ apply(X1,X5,X4)
| ~ apply(X1,X3,X5)
| ~ member(X4,X2)
| ~ member(X5,X2)
| ~ member(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_2,axiom,
( ~ apply(X1,X5,X4)
| ~ epred1_2(X1,X2)
| apply(X1,X3,X4)
| ~ apply(X1,X3,X5)
| ~ member(X4,X2)
| ~ member(X5,X2)
| ~ member(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_3,axiom,
( ~ apply(X1,X3,X5)
| ~ apply(X1,X5,X4)
| ~ epred1_2(X1,X2)
| apply(X1,X3,X4)
| ~ member(X4,X2)
| ~ member(X5,X2)
| ~ member(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_4,axiom,
( ~ member(X4,X2)
| ~ apply(X1,X3,X5)
| ~ apply(X1,X5,X4)
| ~ epred1_2(X1,X2)
| apply(X1,X3,X4)
| ~ member(X5,X2)
| ~ member(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_5,axiom,
( ~ member(X5,X2)
| ~ member(X4,X2)
| ~ apply(X1,X3,X5)
| ~ apply(X1,X5,X4)
| ~ epred1_2(X1,X2)
| apply(X1,X3,X4)
| ~ member(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_6,axiom,
( ~ member(X3,X2)
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ apply(X1,X3,X5)
| ~ apply(X1,X5,X4)
| ~ epred1_2(X1,X2)
| apply(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_126_0,axiom,
( lower_bound(X1,X2,X3)
| ~ apply(X2,X1,sk1_esk5_3(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_1,axiom,
( ~ apply(X2,X1,sk1_esk5_3(X2,X3,X1))
| lower_bound(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_127_0,axiom,
( upper_bound(X1,X2,X3)
| ~ apply(X2,sk1_esk4_3(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_1,axiom,
( ~ apply(X2,sk1_esk4_3(X2,X3,X1),X1)
| upper_bound(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_128_0,axiom,
( epred1_2(X1,X2)
| apply(X1,sk1_esk12_2(X2,X1),sk1_esk13_2(X2,X1))
| ~ apply(X1,sk1_esk14_2(X2,X1),sk1_esk16_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_1,axiom,
( apply(X1,sk1_esk12_2(X2,X1),sk1_esk13_2(X2,X1))
| epred1_2(X1,X2)
| ~ apply(X1,sk1_esk14_2(X2,X1),sk1_esk16_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_2,axiom,
( ~ apply(X1,sk1_esk14_2(X2,X1),sk1_esk16_2(X2,X1))
| apply(X1,sk1_esk12_2(X2,X1),sk1_esk13_2(X2,X1))
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_129_0,axiom,
( epred1_2(X1,X2)
| apply(X1,sk1_esk13_2(X2,X1),sk1_esk12_2(X2,X1))
| ~ apply(X1,sk1_esk14_2(X2,X1),sk1_esk16_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_1,axiom,
( apply(X1,sk1_esk13_2(X2,X1),sk1_esk12_2(X2,X1))
| epred1_2(X1,X2)
| ~ apply(X1,sk1_esk14_2(X2,X1),sk1_esk16_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_2,axiom,
( ~ apply(X1,sk1_esk14_2(X2,X1),sk1_esk16_2(X2,X1))
| apply(X1,sk1_esk13_2(X2,X1),sk1_esk12_2(X2,X1))
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_130_0,axiom,
( X3 = X4
| ~ epred1_2(X1,X2)
| ~ apply(X1,X4,X3)
| ~ apply(X1,X3,X4)
| ~ member(X4,X2)
| ~ member(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_1,axiom,
( ~ epred1_2(X1,X2)
| X3 = X4
| ~ apply(X1,X4,X3)
| ~ apply(X1,X3,X4)
| ~ member(X4,X2)
| ~ member(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_2,axiom,
( ~ apply(X1,X4,X3)
| ~ epred1_2(X1,X2)
| X3 = X4
| ~ apply(X1,X3,X4)
| ~ member(X4,X2)
| ~ member(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_3,axiom,
( ~ apply(X1,X3,X4)
| ~ apply(X1,X4,X3)
| ~ epred1_2(X1,X2)
| X3 = X4
| ~ member(X4,X2)
| ~ member(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_4,axiom,
( ~ member(X4,X2)
| ~ apply(X1,X3,X4)
| ~ apply(X1,X4,X3)
| ~ epred1_2(X1,X2)
| X3 = X4
| ~ member(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_5,axiom,
( ~ member(X3,X2)
| ~ member(X4,X2)
| ~ apply(X1,X3,X4)
| ~ apply(X1,X4,X3)
| ~ epred1_2(X1,X2)
| X3 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_131_0,axiom,
( min(X1,X2,X3)
| apply(X2,sk1_esk9_3(X2,X3,X1),X1)
| ~ member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_1,axiom,
( apply(X2,sk1_esk9_3(X2,X3,X1),X1)
| min(X1,X2,X3)
| ~ member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_2,axiom,
( ~ member(X1,X3)
| apply(X2,sk1_esk9_3(X2,X3,X1),X1)
| min(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_132_0,axiom,
( max(X1,X2,X3)
| apply(X2,X1,sk1_esk8_3(X2,X3,X1))
| ~ member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_1,axiom,
( apply(X2,X1,sk1_esk8_3(X2,X3,X1))
| max(X1,X2,X3)
| ~ member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_2,axiom,
( ~ member(X1,X3)
| apply(X2,X1,sk1_esk8_3(X2,X3,X1))
| max(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_133_0,axiom,
( epred1_2(X1,X2)
| apply(X1,sk1_esk12_2(X2,X1),sk1_esk13_2(X2,X1))
| apply(X1,sk1_esk14_2(X2,X1),sk1_esk15_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_1,axiom,
( apply(X1,sk1_esk12_2(X2,X1),sk1_esk13_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,sk1_esk14_2(X2,X1),sk1_esk15_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_2,axiom,
( apply(X1,sk1_esk14_2(X2,X1),sk1_esk15_2(X2,X1))
| apply(X1,sk1_esk12_2(X2,X1),sk1_esk13_2(X2,X1))
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_134_0,axiom,
( epred1_2(X1,X2)
| apply(X1,sk1_esk12_2(X2,X1),sk1_esk13_2(X2,X1))
| apply(X1,sk1_esk15_2(X2,X1),sk1_esk16_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_1,axiom,
( apply(X1,sk1_esk12_2(X2,X1),sk1_esk13_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,sk1_esk15_2(X2,X1),sk1_esk16_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_2,axiom,
( apply(X1,sk1_esk15_2(X2,X1),sk1_esk16_2(X2,X1))
| apply(X1,sk1_esk12_2(X2,X1),sk1_esk13_2(X2,X1))
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_135_0,axiom,
( epred1_2(X1,X2)
| apply(X1,sk1_esk13_2(X2,X1),sk1_esk12_2(X2,X1))
| apply(X1,sk1_esk14_2(X2,X1),sk1_esk15_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_1,axiom,
( apply(X1,sk1_esk13_2(X2,X1),sk1_esk12_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,sk1_esk14_2(X2,X1),sk1_esk15_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_2,axiom,
( apply(X1,sk1_esk14_2(X2,X1),sk1_esk15_2(X2,X1))
| apply(X1,sk1_esk13_2(X2,X1),sk1_esk12_2(X2,X1))
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_136_0,axiom,
( epred1_2(X1,X2)
| apply(X1,sk1_esk13_2(X2,X1),sk1_esk12_2(X2,X1))
| apply(X1,sk1_esk15_2(X2,X1),sk1_esk16_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_1,axiom,
( apply(X1,sk1_esk13_2(X2,X1),sk1_esk12_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,sk1_esk15_2(X2,X1),sk1_esk16_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_2,axiom,
( apply(X1,sk1_esk15_2(X2,X1),sk1_esk16_2(X2,X1))
| apply(X1,sk1_esk13_2(X2,X1),sk1_esk12_2(X2,X1))
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_137_0,axiom,
( epred1_2(X1,X2)
| sk1_esk13_2(X2,X1) != sk1_esk12_2(X2,X1)
| ~ apply(X1,sk1_esk14_2(X2,X1),sk1_esk16_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_1,axiom,
( sk1_esk13_2(X2,X1) != sk1_esk12_2(X2,X1)
| epred1_2(X1,X2)
| ~ apply(X1,sk1_esk14_2(X2,X1),sk1_esk16_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_2,axiom,
( ~ apply(X1,sk1_esk14_2(X2,X1),sk1_esk16_2(X2,X1))
| sk1_esk13_2(X2,X1) != sk1_esk12_2(X2,X1)
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_138_0,axiom,
( epred1_2(X1,X2)
| member(sk1_esk12_2(X2,X1),X2)
| ~ apply(X1,sk1_esk14_2(X2,X1),sk1_esk16_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_1,axiom,
( member(sk1_esk12_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,sk1_esk14_2(X2,X1),sk1_esk16_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_2,axiom,
( ~ apply(X1,sk1_esk14_2(X2,X1),sk1_esk16_2(X2,X1))
| member(sk1_esk12_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_139_0,axiom,
( epred1_2(X1,X2)
| member(sk1_esk13_2(X2,X1),X2)
| ~ apply(X1,sk1_esk14_2(X2,X1),sk1_esk16_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_1,axiom,
( member(sk1_esk13_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,sk1_esk14_2(X2,X1),sk1_esk16_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_2,axiom,
( ~ apply(X1,sk1_esk14_2(X2,X1),sk1_esk16_2(X2,X1))
| member(sk1_esk13_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_140_0,axiom,
( total_order(X1,X2)
| ~ order(X1,X2)
| ~ apply(X1,sk1_esk2_2(X1,X2),sk1_esk3_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_1,axiom,
( ~ order(X1,X2)
| total_order(X1,X2)
| ~ apply(X1,sk1_esk2_2(X1,X2),sk1_esk3_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_2,axiom,
( ~ apply(X1,sk1_esk2_2(X1,X2),sk1_esk3_2(X1,X2))
| ~ order(X1,X2)
| total_order(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_141_0,axiom,
( total_order(X1,X2)
| ~ order(X1,X2)
| ~ apply(X1,sk1_esk3_2(X1,X2),sk1_esk2_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_1,axiom,
( ~ order(X1,X2)
| total_order(X1,X2)
| ~ apply(X1,sk1_esk3_2(X1,X2),sk1_esk2_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_2,axiom,
( ~ apply(X1,sk1_esk3_2(X1,X2),sk1_esk2_2(X1,X2))
| ~ order(X1,X2)
| total_order(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_142_0,axiom,
( order(X1,X2)
| ~ epred1_2(X1,X2)
| ~ apply(X1,sk1_esk1_2(X1,X2),sk1_esk1_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_1,axiom,
( ~ epred1_2(X1,X2)
| order(X1,X2)
| ~ apply(X1,sk1_esk1_2(X1,X2),sk1_esk1_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_2,axiom,
( ~ apply(X1,sk1_esk1_2(X1,X2),sk1_esk1_2(X1,X2))
| ~ epred1_2(X1,X2)
| order(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_143_0,axiom,
( min(X1,X2,X3)
| member(sk1_esk9_3(X2,X3,X1),X3)
| ~ member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_1,axiom,
( member(sk1_esk9_3(X2,X3,X1),X3)
| min(X1,X2,X3)
| ~ member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_2,axiom,
( ~ member(X1,X3)
| member(sk1_esk9_3(X2,X3,X1),X3)
| min(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_144_0,axiom,
( max(X1,X2,X3)
| member(sk1_esk8_3(X2,X3,X1),X3)
| ~ member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_1,axiom,
( member(sk1_esk8_3(X2,X3,X1),X3)
| max(X1,X2,X3)
| ~ member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_2,axiom,
( ~ member(X1,X3)
| member(sk1_esk8_3(X2,X3,X1),X3)
| max(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_145_0,axiom,
( least(X1,X2,X3)
| member(sk1_esk7_3(X2,X3,X1),X3)
| ~ member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_1,axiom,
( member(sk1_esk7_3(X2,X3,X1),X3)
| least(X1,X2,X3)
| ~ member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_2,axiom,
( ~ member(X1,X3)
| member(sk1_esk7_3(X2,X3,X1),X3)
| least(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_146_0,axiom,
( greatest(X1,X2,X3)
| member(sk1_esk6_3(X2,X3,X1),X3)
| ~ member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_1,axiom,
( member(sk1_esk6_3(X2,X3,X1),X3)
| greatest(X1,X2,X3)
| ~ member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_2,axiom,
( ~ member(X1,X3)
| member(sk1_esk6_3(X2,X3,X1),X3)
| greatest(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_147_0,axiom,
( X1 = X4
| ~ min(X1,X2,X3)
| ~ apply(X2,X4,X1)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_1,axiom,
( ~ min(X1,X2,X3)
| X1 = X4
| ~ apply(X2,X4,X1)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_2,axiom,
( ~ apply(X2,X4,X1)
| ~ min(X1,X2,X3)
| X1 = X4
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_3,axiom,
( ~ member(X4,X3)
| ~ apply(X2,X4,X1)
| ~ min(X1,X2,X3)
| X1 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_148_0,axiom,
( X1 = X4
| ~ max(X1,X2,X3)
| ~ apply(X2,X1,X4)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_1,axiom,
( ~ max(X1,X2,X3)
| X1 = X4
| ~ apply(X2,X1,X4)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_2,axiom,
( ~ apply(X2,X1,X4)
| ~ max(X1,X2,X3)
| X1 = X4
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_3,axiom,
( ~ member(X4,X3)
| ~ apply(X2,X1,X4)
| ~ max(X1,X2,X3)
| X1 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_149_0,axiom,
( apply(X1,X3,X4)
| apply(X1,X4,X3)
| ~ total_order(X1,X2)
| ~ member(X3,X2)
| ~ member(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_149_1,axiom,
( apply(X1,X4,X3)
| apply(X1,X3,X4)
| ~ total_order(X1,X2)
| ~ member(X3,X2)
| ~ member(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_149_2,axiom,
( ~ total_order(X1,X2)
| apply(X1,X4,X3)
| apply(X1,X3,X4)
| ~ member(X3,X2)
| ~ member(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_149_3,axiom,
( ~ member(X3,X2)
| ~ total_order(X1,X2)
| apply(X1,X4,X3)
| apply(X1,X3,X4)
| ~ member(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_149_4,axiom,
( ~ member(X4,X2)
| ~ member(X3,X2)
| ~ total_order(X1,X2)
| apply(X1,X4,X3)
| apply(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_150_0,axiom,
( lower_bound(X1,X2,X3)
| member(sk1_esk5_3(X2,X3,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_150_1,axiom,
( member(sk1_esk5_3(X2,X3,X1),X3)
| lower_bound(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_151_0,axiom,
( upper_bound(X1,X2,X3)
| member(sk1_esk4_3(X2,X3,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_151_1,axiom,
( member(sk1_esk4_3(X2,X3,X1),X3)
| upper_bound(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_152_0,axiom,
( epred1_2(X1,X2)
| apply(X1,sk1_esk14_2(X2,X1),sk1_esk15_2(X2,X1))
| sk1_esk13_2(X2,X1) != sk1_esk12_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_152_1,axiom,
( apply(X1,sk1_esk14_2(X2,X1),sk1_esk15_2(X2,X1))
| epred1_2(X1,X2)
| sk1_esk13_2(X2,X1) != sk1_esk12_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_152_2,axiom,
( sk1_esk13_2(X2,X1) != sk1_esk12_2(X2,X1)
| apply(X1,sk1_esk14_2(X2,X1),sk1_esk15_2(X2,X1))
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_153_0,axiom,
( epred1_2(X1,X2)
| apply(X1,sk1_esk15_2(X2,X1),sk1_esk16_2(X2,X1))
| sk1_esk13_2(X2,X1) != sk1_esk12_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_153_1,axiom,
( apply(X1,sk1_esk15_2(X2,X1),sk1_esk16_2(X2,X1))
| epred1_2(X1,X2)
| sk1_esk13_2(X2,X1) != sk1_esk12_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_153_2,axiom,
( sk1_esk13_2(X2,X1) != sk1_esk12_2(X2,X1)
| apply(X1,sk1_esk15_2(X2,X1),sk1_esk16_2(X2,X1))
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_154_0,axiom,
( min(X1,X2,X3)
| ~ member(X1,X3)
| sk1_esk9_3(X2,X3,X1) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_154_1,axiom,
( ~ member(X1,X3)
| min(X1,X2,X3)
| sk1_esk9_3(X2,X3,X1) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_154_2,axiom,
( sk1_esk9_3(X2,X3,X1) != X1
| ~ member(X1,X3)
| min(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_155_0,axiom,
( max(X1,X2,X3)
| ~ member(X1,X3)
| sk1_esk8_3(X2,X3,X1) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_155_1,axiom,
( ~ member(X1,X3)
| max(X1,X2,X3)
| sk1_esk8_3(X2,X3,X1) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_155_2,axiom,
( sk1_esk8_3(X2,X3,X1) != X1
| ~ member(X1,X3)
| max(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_156_0,axiom,
( apply(X2,X1,X4)
| ~ least(X1,X2,X3)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_1,axiom,
( ~ least(X1,X2,X3)
| apply(X2,X1,X4)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_2,axiom,
( ~ member(X4,X3)
| ~ least(X1,X2,X3)
| apply(X2,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_157_0,axiom,
( apply(X2,X4,X1)
| ~ greatest(X1,X2,X3)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_157_1,axiom,
( ~ greatest(X1,X2,X3)
| apply(X2,X4,X1)
| ~ member(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_157_2,axiom,
( ~ member(X4,X3)
| ~ greatest(X1,X2,X3)
| apply(X2,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_158_0,axiom,
( apply(X1,X2,X3)
| ~ member(X3,X4)
| ~ lower_bound(X2,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_158_1,axiom,
( ~ member(X3,X4)
| apply(X1,X2,X3)
| ~ lower_bound(X2,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_158_2,axiom,
( ~ lower_bound(X2,X1,X4)
| ~ member(X3,X4)
| apply(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_159_0,axiom,
( apply(X1,X2,X3)
| ~ member(X2,X4)
| ~ upper_bound(X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_1,axiom,
( ~ member(X2,X4)
| apply(X1,X2,X3)
| ~ upper_bound(X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_2,axiom,
( ~ upper_bound(X3,X1,X4)
| ~ member(X2,X4)
| apply(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_160_0,axiom,
( epred1_2(X1,X2)
| member(sk1_esk12_2(X2,X1),X2)
| apply(X1,sk1_esk14_2(X2,X1),sk1_esk15_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_160_1,axiom,
( member(sk1_esk12_2(X2,X1),X2)
| epred1_2(X1,X2)
| apply(X1,sk1_esk14_2(X2,X1),sk1_esk15_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_160_2,axiom,
( apply(X1,sk1_esk14_2(X2,X1),sk1_esk15_2(X2,X1))
| member(sk1_esk12_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_161_0,axiom,
( epred1_2(X1,X2)
| member(sk1_esk12_2(X2,X1),X2)
| apply(X1,sk1_esk15_2(X2,X1),sk1_esk16_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_1,axiom,
( member(sk1_esk12_2(X2,X1),X2)
| epred1_2(X1,X2)
| apply(X1,sk1_esk15_2(X2,X1),sk1_esk16_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_2,axiom,
( apply(X1,sk1_esk15_2(X2,X1),sk1_esk16_2(X2,X1))
| member(sk1_esk12_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_162_0,axiom,
( epred1_2(X1,X2)
| member(sk1_esk13_2(X2,X1),X2)
| apply(X1,sk1_esk14_2(X2,X1),sk1_esk15_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_1,axiom,
( member(sk1_esk13_2(X2,X1),X2)
| epred1_2(X1,X2)
| apply(X1,sk1_esk14_2(X2,X1),sk1_esk15_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_2,axiom,
( apply(X1,sk1_esk14_2(X2,X1),sk1_esk15_2(X2,X1))
| member(sk1_esk13_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_163_0,axiom,
( epred1_2(X1,X2)
| member(sk1_esk13_2(X2,X1),X2)
| apply(X1,sk1_esk15_2(X2,X1),sk1_esk16_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_1,axiom,
( member(sk1_esk13_2(X2,X1),X2)
| epred1_2(X1,X2)
| apply(X1,sk1_esk15_2(X2,X1),sk1_esk16_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_2,axiom,
( apply(X1,sk1_esk15_2(X2,X1),sk1_esk16_2(X2,X1))
| member(sk1_esk13_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_164_0,axiom,
( epred1_2(X1,X2)
| apply(X1,sk1_esk12_2(X2,X1),sk1_esk13_2(X2,X1))
| member(sk1_esk14_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_1,axiom,
( apply(X1,sk1_esk12_2(X2,X1),sk1_esk13_2(X2,X1))
| epred1_2(X1,X2)
| member(sk1_esk14_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_2,axiom,
( member(sk1_esk14_2(X2,X1),X2)
| apply(X1,sk1_esk12_2(X2,X1),sk1_esk13_2(X2,X1))
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_165_0,axiom,
( epred1_2(X1,X2)
| apply(X1,sk1_esk12_2(X2,X1),sk1_esk13_2(X2,X1))
| member(sk1_esk15_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_1,axiom,
( apply(X1,sk1_esk12_2(X2,X1),sk1_esk13_2(X2,X1))
| epred1_2(X1,X2)
| member(sk1_esk15_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_2,axiom,
( member(sk1_esk15_2(X2,X1),X2)
| apply(X1,sk1_esk12_2(X2,X1),sk1_esk13_2(X2,X1))
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_166_0,axiom,
( epred1_2(X1,X2)
| apply(X1,sk1_esk12_2(X2,X1),sk1_esk13_2(X2,X1))
| member(sk1_esk16_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_166_1,axiom,
( apply(X1,sk1_esk12_2(X2,X1),sk1_esk13_2(X2,X1))
| epred1_2(X1,X2)
| member(sk1_esk16_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_166_2,axiom,
( member(sk1_esk16_2(X2,X1),X2)
| apply(X1,sk1_esk12_2(X2,X1),sk1_esk13_2(X2,X1))
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_167_0,axiom,
( epred1_2(X1,X2)
| apply(X1,sk1_esk13_2(X2,X1),sk1_esk12_2(X2,X1))
| member(sk1_esk14_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_1,axiom,
( apply(X1,sk1_esk13_2(X2,X1),sk1_esk12_2(X2,X1))
| epred1_2(X1,X2)
| member(sk1_esk14_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_2,axiom,
( member(sk1_esk14_2(X2,X1),X2)
| apply(X1,sk1_esk13_2(X2,X1),sk1_esk12_2(X2,X1))
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_168_0,axiom,
( epred1_2(X1,X2)
| apply(X1,sk1_esk13_2(X2,X1),sk1_esk12_2(X2,X1))
| member(sk1_esk15_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_168_1,axiom,
( apply(X1,sk1_esk13_2(X2,X1),sk1_esk12_2(X2,X1))
| epred1_2(X1,X2)
| member(sk1_esk15_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_168_2,axiom,
( member(sk1_esk15_2(X2,X1),X2)
| apply(X1,sk1_esk13_2(X2,X1),sk1_esk12_2(X2,X1))
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_169_0,axiom,
( epred1_2(X1,X2)
| apply(X1,sk1_esk13_2(X2,X1),sk1_esk12_2(X2,X1))
| member(sk1_esk16_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_1,axiom,
( apply(X1,sk1_esk13_2(X2,X1),sk1_esk12_2(X2,X1))
| epred1_2(X1,X2)
| member(sk1_esk16_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_2,axiom,
( member(sk1_esk16_2(X2,X1),X2)
| apply(X1,sk1_esk13_2(X2,X1),sk1_esk12_2(X2,X1))
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_170_0,axiom,
( member(X1,X3)
| ~ min(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_1,axiom,
( ~ min(X1,X2,X3)
| member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_171_0,axiom,
( member(X1,X3)
| ~ max(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_1,axiom,
( ~ max(X1,X2,X3)
| member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_172_0,axiom,
( member(X1,X3)
| ~ least(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_1,axiom,
( ~ least(X1,X2,X3)
| member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_173_0,axiom,
( member(X1,X3)
| ~ greatest(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_1,axiom,
( ~ greatest(X1,X2,X3)
| member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_174_0,axiom,
( apply(X1,X3,X3)
| ~ order(X1,X2)
| ~ member(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_1,axiom,
( ~ order(X1,X2)
| apply(X1,X3,X3)
| ~ member(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_2,axiom,
( ~ member(X3,X2)
| ~ order(X1,X2)
| apply(X1,X3,X3) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_175_0,axiom,
( epred1_2(X1,X2)
| member(sk1_esk14_2(X2,X1),X2)
| sk1_esk13_2(X2,X1) != sk1_esk12_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_175_1,axiom,
( member(sk1_esk14_2(X2,X1),X2)
| epred1_2(X1,X2)
| sk1_esk13_2(X2,X1) != sk1_esk12_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_175_2,axiom,
( sk1_esk13_2(X2,X1) != sk1_esk12_2(X2,X1)
| member(sk1_esk14_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_176_0,axiom,
( epred1_2(X1,X2)
| member(sk1_esk15_2(X2,X1),X2)
| sk1_esk13_2(X2,X1) != sk1_esk12_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_176_1,axiom,
( member(sk1_esk15_2(X2,X1),X2)
| epred1_2(X1,X2)
| sk1_esk13_2(X2,X1) != sk1_esk12_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_176_2,axiom,
( sk1_esk13_2(X2,X1) != sk1_esk12_2(X2,X1)
| member(sk1_esk15_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_177_0,axiom,
( epred1_2(X1,X2)
| member(sk1_esk16_2(X2,X1),X2)
| sk1_esk13_2(X2,X1) != sk1_esk12_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_177_1,axiom,
( member(sk1_esk16_2(X2,X1),X2)
| epred1_2(X1,X2)
| sk1_esk13_2(X2,X1) != sk1_esk12_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_177_2,axiom,
( sk1_esk13_2(X2,X1) != sk1_esk12_2(X2,X1)
| member(sk1_esk16_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_178_0,axiom,
( epred1_2(X1,X2)
| member(sk1_esk12_2(X2,X1),X2)
| member(sk1_esk14_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_178_1,axiom,
( member(sk1_esk12_2(X2,X1),X2)
| epred1_2(X1,X2)
| member(sk1_esk14_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_178_2,axiom,
( member(sk1_esk14_2(X2,X1),X2)
| member(sk1_esk12_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_179_0,axiom,
( epred1_2(X1,X2)
| member(sk1_esk12_2(X2,X1),X2)
| member(sk1_esk15_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_179_1,axiom,
( member(sk1_esk12_2(X2,X1),X2)
| epred1_2(X1,X2)
| member(sk1_esk15_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_179_2,axiom,
( member(sk1_esk15_2(X2,X1),X2)
| member(sk1_esk12_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_180_0,axiom,
( epred1_2(X1,X2)
| member(sk1_esk12_2(X2,X1),X2)
| member(sk1_esk16_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_180_1,axiom,
( member(sk1_esk12_2(X2,X1),X2)
| epred1_2(X1,X2)
| member(sk1_esk16_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_180_2,axiom,
( member(sk1_esk16_2(X2,X1),X2)
| member(sk1_esk12_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_181_0,axiom,
( epred1_2(X1,X2)
| member(sk1_esk13_2(X2,X1),X2)
| member(sk1_esk14_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_181_1,axiom,
( member(sk1_esk13_2(X2,X1),X2)
| epred1_2(X1,X2)
| member(sk1_esk14_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_181_2,axiom,
( member(sk1_esk14_2(X2,X1),X2)
| member(sk1_esk13_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_182_0,axiom,
( epred1_2(X1,X2)
| member(sk1_esk13_2(X2,X1),X2)
| member(sk1_esk15_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_182_1,axiom,
( member(sk1_esk13_2(X2,X1),X2)
| epred1_2(X1,X2)
| member(sk1_esk15_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_182_2,axiom,
( member(sk1_esk15_2(X2,X1),X2)
| member(sk1_esk13_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_183_0,axiom,
( epred1_2(X1,X2)
| member(sk1_esk13_2(X2,X1),X2)
| member(sk1_esk16_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_183_1,axiom,
( member(sk1_esk13_2(X2,X1),X2)
| epred1_2(X1,X2)
| member(sk1_esk16_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_183_2,axiom,
( member(sk1_esk16_2(X2,X1),X2)
| member(sk1_esk13_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_184_0,axiom,
( total_order(X1,X2)
| member(sk1_esk2_2(X1,X2),X2)
| ~ order(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_184_1,axiom,
( member(sk1_esk2_2(X1,X2),X2)
| total_order(X1,X2)
| ~ order(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_184_2,axiom,
( ~ order(X1,X2)
| member(sk1_esk2_2(X1,X2),X2)
| total_order(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_185_0,axiom,
( total_order(X1,X2)
| member(sk1_esk3_2(X1,X2),X2)
| ~ order(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_185_1,axiom,
( member(sk1_esk3_2(X1,X2),X2)
| total_order(X1,X2)
| ~ order(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_185_2,axiom,
( ~ order(X1,X2)
| member(sk1_esk3_2(X1,X2),X2)
| total_order(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_186_0,axiom,
( order(X1,X2)
| member(sk1_esk1_2(X1,X2),X2)
| ~ epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_1,axiom,
( member(sk1_esk1_2(X1,X2),X2)
| order(X1,X2)
| ~ epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_2,axiom,
( ~ epred1_2(X1,X2)
| member(sk1_esk1_2(X1,X2),X2)
| order(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_187_0,axiom,
( order(X1,X2)
| ~ total_order(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_187]) ).
cnf(c_0_187_1,axiom,
( ~ total_order(X1,X2)
| order(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_187]) ).
cnf(c_0_188_0,axiom,
( epred1_2(X1,X2)
| ~ order(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_188_1,axiom,
( ~ order(X1,X2)
| epred1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
! [X1,X2,X3] :
( ( order(X1,X2)
& greatest(X3,X1,X2) )
=> ! [X4] :
( greatest(X4,X1,X2)
=> X3 = X4 ) ),
file('<stdin>',thIV1) ).
fof(c_0_1_002,negated_conjecture,
~ ! [X1,X2,X3] :
( ( order(X1,X2)
& greatest(X3,X1,X2) )
=> ! [X4] :
( greatest(X4,X1,X2)
=> X3 = X4 ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_003,negated_conjecture,
( order(esk1_0,esk2_0)
& greatest(esk3_0,esk1_0,esk2_0)
& greatest(esk4_0,esk1_0,esk2_0)
& esk3_0 != esk4_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_004,negated_conjecture,
greatest(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,negated_conjecture,
greatest(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_006,negated_conjecture,
order(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_007,negated_conjecture,
esk3_0 != esk4_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_008,negated_conjecture,
greatest(esk3_0,esk1_0,esk2_0),
c_0_3,
[final] ).
cnf(c_0_8_009,negated_conjecture,
greatest(esk4_0,esk1_0,esk2_0),
c_0_4,
[final] ).
cnf(c_0_9_010,negated_conjecture,
order(esk1_0,esk2_0),
c_0_5,
[final] ).
cnf(c_0_10_011,negated_conjecture,
esk3_0 != esk4_0,
c_0_6,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_175,plain,
( ~ member(X0,X1)
| ~ member(X2,X1)
| ~ apply(X3,X0,X2)
| ~ apply(X3,X2,X0)
| ~ epred1_2(X3,X1)
| X0 = X2 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p',c_0_130_0) ).
cnf(c_523,plain,
( ~ member(X0,X1)
| ~ member(X2,X1)
| ~ apply(X3,X0,X2)
| ~ apply(X3,X2,X0)
| ~ epred1_2(X3,X1)
| X0 = X2 ),
inference(copy,[status(esa)],[c_175]) ).
cnf(c_83122,plain,
( ~ epred1_2(X0,sk2_esk2_0)
| ~ member(sk2_esk3_0,sk2_esk2_0)
| ~ member(X1,sk2_esk2_0)
| ~ apply(X0,sk2_esk3_0,X1)
| ~ apply(X0,X1,sk2_esk3_0)
| sk2_esk3_0 = X1 ),
inference(instantiation,[status(thm)],[c_523]) ).
cnf(c_292473,plain,
( ~ epred1_2(X0,sk2_esk2_0)
| ~ member(sk2_esk3_0,sk2_esk2_0)
| ~ member(sk2_esk4_0,sk2_esk2_0)
| ~ apply(X0,sk2_esk3_0,sk2_esk4_0)
| ~ apply(X0,sk2_esk4_0,sk2_esk3_0)
| sk2_esk3_0 = sk2_esk4_0 ),
inference(instantiation,[status(thm)],[c_83122]) ).
cnf(c_292474,plain,
( ~ epred1_2(sk2_esk1_0,sk2_esk2_0)
| ~ member(sk2_esk3_0,sk2_esk2_0)
| ~ member(sk2_esk4_0,sk2_esk2_0)
| ~ apply(sk2_esk1_0,sk2_esk3_0,sk2_esk4_0)
| ~ apply(sk2_esk1_0,sk2_esk4_0,sk2_esk3_0)
| sk2_esk3_0 = sk2_esk4_0 ),
inference(instantiation,[status(thm)],[c_292473]) ).
cnf(c_89,plain,
( ~ member(X0,X1)
| ~ greatest(X2,X3,X1)
| apply(X3,X0,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p',c_0_157_0) ).
cnf(c_437,plain,
( ~ member(X0,X1)
| ~ greatest(X2,X3,X1)
| apply(X3,X0,X2) ),
inference(copy,[status(esa)],[c_89]) ).
cnf(c_83259,plain,
( ~ member(sk2_esk4_0,sk2_esk2_0)
| apply(X0,sk2_esk4_0,X1)
| ~ greatest(X1,X0,sk2_esk2_0) ),
inference(instantiation,[status(thm)],[c_437]) ).
cnf(c_83429,plain,
( ~ member(sk2_esk4_0,sk2_esk2_0)
| apply(sk2_esk1_0,sk2_esk4_0,sk2_esk3_0)
| ~ greatest(sk2_esk3_0,sk2_esk1_0,sk2_esk2_0) ),
inference(instantiation,[status(thm)],[c_83259]) ).
cnf(c_83135,plain,
( ~ member(sk2_esk3_0,sk2_esk2_0)
| apply(X0,sk2_esk3_0,X1)
| ~ greatest(X1,X0,sk2_esk2_0) ),
inference(instantiation,[status(thm)],[c_437]) ).
cnf(c_83404,plain,
( ~ member(sk2_esk3_0,sk2_esk2_0)
| apply(sk2_esk1_0,sk2_esk3_0,sk2_esk4_0)
| ~ greatest(sk2_esk4_0,sk2_esk1_0,sk2_esk2_0) ),
inference(instantiation,[status(thm)],[c_83135]) ).
cnf(c_43,plain,
( member(X0,X1)
| ~ greatest(X0,X2,X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p',c_0_173_1) ).
cnf(c_391,plain,
( member(X0,X1)
| ~ greatest(X0,X2,X1) ),
inference(copy,[status(esa)],[c_43]) ).
cnf(c_82593,plain,
( member(sk2_esk4_0,sk2_esk2_0)
| ~ greatest(sk2_esk4_0,sk2_esk1_0,sk2_esk2_0) ),
inference(instantiation,[status(thm)],[c_391]) ).
cnf(c_82592,plain,
( member(sk2_esk3_0,sk2_esk2_0)
| ~ greatest(sk2_esk3_0,sk2_esk1_0,sk2_esk2_0) ),
inference(instantiation,[status(thm)],[c_391]) ).
cnf(c_0,plain,
( epred1_2(X0,X1)
| ~ order(X0,X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p',c_0_188_1) ).
cnf(c_348,plain,
( epred1_2(X0,X1)
| ~ order(X0,X1) ),
inference(copy,[status(esa)],[c_0]) ).
cnf(c_82590,plain,
( ~ order(sk2_esk1_0,sk2_esk2_0)
| epred1_2(sk2_esk1_0,sk2_esk2_0) ),
inference(instantiation,[status(thm)],[c_348]) ).
cnf(c_239,negated_conjecture,
sk2_esk3_0 != sk2_esk4_0,
file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p',c_0_10) ).
cnf(c_240,negated_conjecture,
greatest(sk2_esk3_0,sk2_esk1_0,sk2_esk2_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p',c_0_7) ).
cnf(c_241,negated_conjecture,
greatest(sk2_esk4_0,sk2_esk1_0,sk2_esk2_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p',c_0_8) ).
cnf(c_242,negated_conjecture,
order(sk2_esk1_0,sk2_esk2_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p',c_0_9) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_292474,c_83429,c_83404,c_82593,c_82592,c_82590,c_239,c_240,c_241,c_242]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET789+4 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : iprover_modulo %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 04:47:58 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.13/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.13/0.40 % FOF problem with conjecture
% 0.13/0.40 % 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_72954b.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_05e23e | grep -v "SZS"
% 0.20/0.42
% 0.20/0.42 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.42
% 0.20/0.42 %
% 0.20/0.42 % ------ iProver source info
% 0.20/0.42
% 0.20/0.42 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.42 % git: non_committed_changes: true
% 0.20/0.42 % git: last_make_outside_of_git: true
% 0.20/0.42
% 0.20/0.42 %
% 0.20/0.42 % ------ Input Options
% 0.20/0.42
% 0.20/0.42 % --out_options all
% 0.20/0.42 % --tptp_safe_out true
% 0.20/0.42 % --problem_path ""
% 0.20/0.42 % --include_path ""
% 0.20/0.42 % --clausifier .//eprover
% 0.20/0.42 % --clausifier_options --tstp-format
% 0.20/0.42 % --stdin false
% 0.20/0.42 % --dbg_backtrace false
% 0.20/0.42 % --dbg_dump_prop_clauses false
% 0.20/0.42 % --dbg_dump_prop_clauses_file -
% 0.20/0.42 % --dbg_out_stat false
% 0.20/0.42
% 0.20/0.42 % ------ General Options
% 0.20/0.42
% 0.20/0.42 % --fof false
% 0.20/0.42 % --time_out_real 150.
% 0.20/0.42 % --time_out_prep_mult 0.2
% 0.20/0.42 % --time_out_virtual -1.
% 0.20/0.42 % --schedule none
% 0.20/0.42 % --ground_splitting input
% 0.20/0.42 % --splitting_nvd 16
% 0.20/0.42 % --non_eq_to_eq false
% 0.20/0.42 % --prep_gs_sim true
% 0.20/0.42 % --prep_unflatten false
% 0.20/0.42 % --prep_res_sim true
% 0.20/0.42 % --prep_upred true
% 0.20/0.42 % --res_sim_input true
% 0.20/0.42 % --clause_weak_htbl true
% 0.20/0.42 % --gc_record_bc_elim false
% 0.20/0.42 % --symbol_type_check false
% 0.20/0.42 % --clausify_out false
% 0.20/0.42 % --large_theory_mode false
% 0.20/0.42 % --prep_sem_filter none
% 0.20/0.42 % --prep_sem_filter_out false
% 0.20/0.42 % --preprocessed_out false
% 0.20/0.42 % --sub_typing false
% 0.20/0.42 % --brand_transform false
% 0.20/0.42 % --pure_diseq_elim true
% 0.20/0.42 % --min_unsat_core false
% 0.20/0.42 % --pred_elim true
% 0.20/0.42 % --add_important_lit false
% 0.20/0.42 % --soft_assumptions false
% 0.20/0.42 % --reset_solvers false
% 0.20/0.42 % --bc_imp_inh []
% 0.20/0.42 % --conj_cone_tolerance 1.5
% 0.20/0.42 % --prolific_symb_bound 500
% 0.20/0.42 % --lt_threshold 2000
% 0.20/0.42
% 0.20/0.42 % ------ SAT Options
% 0.20/0.42
% 0.20/0.42 % --sat_mode false
% 0.20/0.42 % --sat_fm_restart_options ""
% 0.20/0.42 % --sat_gr_def false
% 0.20/0.42 % --sat_epr_types true
% 0.20/0.42 % --sat_non_cyclic_types false
% 0.20/0.42 % --sat_finite_models false
% 0.20/0.42 % --sat_fm_lemmas false
% 0.20/0.42 % --sat_fm_prep false
% 0.20/0.42 % --sat_fm_uc_incr true
% 0.20/0.42 % --sat_out_model small
% 0.20/0.42 % --sat_out_clauses false
% 0.20/0.42
% 0.20/0.42 % ------ QBF Options
% 0.20/0.42
% 0.20/0.42 % --qbf_mode false
% 0.20/0.42 % --qbf_elim_univ true
% 0.20/0.42 % --qbf_sk_in true
% 0.20/0.42 % --qbf_pred_elim true
% 0.20/0.42 % --qbf_split 32
% 0.20/0.42
% 0.20/0.42 % ------ BMC1 Options
% 0.20/0.42
% 0.20/0.42 % --bmc1_incremental false
% 0.20/0.42 % --bmc1_axioms reachable_all
% 0.20/0.42 % --bmc1_min_bound 0
% 0.20/0.42 % --bmc1_max_bound -1
% 0.20/0.42 % --bmc1_max_bound_default -1
% 0.20/0.42 % --bmc1_symbol_reachability true
% 0.20/0.42 % --bmc1_property_lemmas false
% 0.20/0.42 % --bmc1_k_induction false
% 0.20/0.42 % --bmc1_non_equiv_states false
% 0.20/0.42 % --bmc1_deadlock false
% 0.20/0.42 % --bmc1_ucm false
% 0.20/0.42 % --bmc1_add_unsat_core none
% 0.20/0.42 % --bmc1_unsat_core_children false
% 0.20/0.42 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.42 % --bmc1_out_stat full
% 0.20/0.42 % --bmc1_ground_init false
% 0.20/0.42 % --bmc1_pre_inst_next_state false
% 0.20/0.42 % --bmc1_pre_inst_state false
% 0.20/0.42 % --bmc1_pre_inst_reach_state false
% 0.20/0.42 % --bmc1_out_unsat_core false
% 0.20/0.42 % --bmc1_aig_witness_out false
% 0.20/0.42 % --bmc1_verbose false
% 0.20/0.42 % --bmc1_dump_clauses_tptp false
% 0.20/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.44 % --bmc1_dump_file -
% 0.20/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.44 % --bmc1_ucm_extend_mode 1
% 0.20/0.44 % --bmc1_ucm_init_mode 2
% 0.20/0.44 % --bmc1_ucm_cone_mode none
% 0.20/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.44 % --bmc1_ucm_relax_model 4
% 0.20/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.44 % --bmc1_ucm_layered_model none
% 0.20/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.44
% 0.20/0.44 % ------ AIG Options
% 0.20/0.44
% 0.20/0.44 % --aig_mode false
% 0.20/0.44
% 0.20/0.44 % ------ Instantiation Options
% 0.20/0.44
% 0.20/0.44 % --instantiation_flag true
% 0.20/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44 % --inst_solver_per_active 750
% 0.20/0.44 % --inst_solver_calls_frac 0.5
% 0.20/0.44 % --inst_passive_queue_type priority_queues
% 0.20/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44 % --inst_passive_queues_freq [25;2]
% 0.20/0.44 % --inst_dismatching true
% 0.20/0.44 % --inst_eager_unprocessed_to_passive true
% 0.20/0.44 % --inst_prop_sim_given true
% 0.20/0.44 % --inst_prop_sim_new false
% 0.20/0.44 % --inst_orphan_elimination true
% 0.20/0.44 % --inst_learning_loop_flag true
% 0.20/0.44 % --inst_learning_start 3000
% 0.20/0.44 % --inst_learning_factor 2
% 0.20/0.44 % --inst_start_prop_sim_after_learn 3
% 0.20/0.44 % --inst_sel_renew solver
% 0.20/0.44 % --inst_lit_activity_flag true
% 0.20/0.44 % --inst_out_proof true
% 0.20/0.44
% 0.20/0.44 % ------ Resolution Options
% 0.20/0.44
% 0.20/0.44 % --resolution_flag true
% 0.20/0.44 % --res_lit_sel kbo_max
% 0.20/0.44 % --res_to_prop_solver none
% 0.20/0.44 % --res_prop_simpl_new false
% 0.20/0.44 % --res_prop_simpl_given false
% 0.20/0.44 % --res_passive_queue_type priority_queues
% 0.20/0.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44 % --res_passive_queues_freq [15;5]
% 0.20/0.44 % --res_forward_subs full
% 0.20/0.44 % --res_backward_subs full
% 0.20/0.44 % --res_forward_subs_resolution true
% 0.20/0.44 % --res_backward_subs_resolution true
% 0.20/0.44 % --res_orphan_elimination false
% 0.20/0.44 % --res_time_limit 1000.
% 0.20/0.44 % --res_out_proof true
% 0.20/0.44 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_72954b.s
% 0.20/0.44 % --modulo true
% 0.20/0.44
% 0.20/0.44 % ------ Combination Options
% 0.20/0.44
% 0.20/0.44 % --comb_res_mult 1000
% 0.20/0.44 % --comb_inst_mult 300
% 0.20/0.44 % ------
% 0.20/0.44
% 0.20/0.44 % ------ Parsing...% successful
% 0.20/0.44
% 0.20/0.44 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.20/0.44
% 0.20/0.44 % ------ Proving...
% 0.20/0.44 % ------ Problem Properties
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % EPR false
% 0.20/0.44 % Horn false
% 0.20/0.44 % Has equality true
% 0.20/0.44
% 0.20/0.44 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % % ------ Current options:
% 0.20/0.44
% 0.20/0.44 % ------ Input Options
% 0.20/0.44
% 0.20/0.44 % --out_options all
% 0.20/0.44 % --tptp_safe_out true
% 0.20/0.44 % --problem_path ""
% 0.20/0.44 % --include_path ""
% 0.20/0.44 % --clausifier .//eprover
% 0.20/0.44 % --clausifier_options --tstp-format
% 0.20/0.44 % --stdin false
% 0.20/0.44 % --dbg_backtrace false
% 0.20/0.44 % --dbg_dump_prop_clauses false
% 0.20/0.44 % --dbg_dump_prop_clauses_file -
% 0.20/0.44 % --dbg_out_stat false
% 0.20/0.44
% 0.20/0.44 % ------ General Options
% 0.20/0.44
% 0.20/0.44 % --fof false
% 0.20/0.44 % --time_out_real 150.
% 0.20/0.44 % --time_out_prep_mult 0.2
% 0.20/0.44 % --time_out_virtual -1.
% 0.20/0.44 % --schedule none
% 0.20/0.44 % --ground_splitting input
% 0.20/0.44 % --splitting_nvd 16
% 0.20/0.44 % --non_eq_to_eq false
% 0.20/0.44 % --prep_gs_sim true
% 0.20/0.44 % --prep_unflatten false
% 0.20/0.44 % --prep_res_sim true
% 0.20/0.44 % --prep_upred true
% 0.20/0.44 % --res_sim_input true
% 0.20/0.44 % --clause_weak_htbl true
% 0.20/0.44 % --gc_record_bc_elim false
% 0.20/0.44 % --symbol_type_check false
% 0.20/0.44 % --clausify_out false
% 0.20/0.44 % --large_theory_mode false
% 0.20/0.44 % --prep_sem_filter none
% 0.20/0.44 % --prep_sem_filter_out false
% 0.20/0.44 % --preprocessed_out false
% 0.20/0.44 % --sub_typing false
% 0.20/0.44 % --brand_transform false
% 0.20/0.44 % --pure_diseq_elim true
% 0.20/0.44 % --min_unsat_core false
% 0.20/0.44 % --pred_elim true
% 0.20/0.44 % --add_important_lit false
% 0.20/0.44 % --soft_assumptions false
% 0.20/0.44 % --reset_solvers false
% 0.20/0.44 % --bc_imp_inh []
% 0.20/0.44 % --conj_cone_tolerance 1.5
% 0.20/0.44 % --prolific_symb_bound 500
% 0.20/0.44 % --lt_threshold 2000
% 0.20/0.44
% 0.20/0.44 % ------ SAT Options
% 0.20/0.44
% 0.20/0.44 % --sat_mode false
% 0.20/0.44 % --sat_fm_restart_options ""
% 0.20/0.44 % --sat_gr_def false
% 0.20/0.44 % --sat_epr_types true
% 0.20/0.44 % --sat_non_cyclic_types false
% 0.20/0.44 % --sat_finite_models false
% 0.20/0.44 % --sat_fm_lemmas false
% 0.20/0.44 % --sat_fm_prep false
% 0.20/0.44 % --sat_fm_uc_incr true
% 0.20/0.44 % --sat_out_model small
% 0.20/0.44 % --sat_out_clauses false
% 0.20/0.44
% 0.20/0.44 % ------ QBF Options
% 0.20/0.44
% 0.20/0.44 % --qbf_mode false
% 0.20/0.44 % --qbf_elim_univ true
% 0.20/0.44 % --qbf_sk_in true
% 0.20/0.44 % --qbf_pred_elim true
% 0.20/0.44 % --qbf_split 32
% 0.20/0.44
% 0.20/0.44 % ------ BMC1 Options
% 0.20/0.44
% 0.20/0.44 % --bmc1_incremental false
% 0.20/0.44 % --bmc1_axioms reachable_all
% 0.20/0.44 % --bmc1_min_bound 0
% 0.20/0.44 % --bmc1_max_bound -1
% 0.20/0.44 % --bmc1_max_bound_default -1
% 0.20/0.44 % --bmc1_symbol_reachability true
% 0.20/0.44 % --bmc1_property_lemmas false
% 0.20/0.44 % --bmc1_k_induction false
% 0.20/0.44 % --bmc1_non_equiv_states false
% 0.20/0.44 % --bmc1_deadlock false
% 0.20/0.44 % --bmc1_ucm false
% 0.20/0.44 % --bmc1_add_unsat_core none
% 0.20/0.44 % --bmc1_unsat_core_children false
% 0.20/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.44 % --bmc1_out_stat full
% 0.20/0.44 % --bmc1_ground_init false
% 0.20/0.44 % --bmc1_pre_inst_next_state false
% 0.20/0.44 % --bmc1_pre_inst_state false
% 0.20/0.44 % --bmc1_pre_inst_reach_state false
% 0.20/0.44 % --bmc1_out_unsat_core false
% 0.20/0.44 % --bmc1_aig_witness_out false
% 0.20/0.44 % --bmc1_verbose false
% 0.20/0.44 % --bmc1_dump_clauses_tptp false
% 0.20/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.44 % --bmc1_dump_file -
% 0.20/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.44 % --bmc1_ucm_extend_mode 1
% 0.20/0.44 % --bmc1_ucm_init_mode 2
% 0.20/0.44 % --bmc1_ucm_cone_mode none
% 0.20/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.44 % --bmc1_ucm_relax_model 4
% 0.20/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.44 % --bmc1_ucm_layered_model none
% 0.20/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.44
% 0.20/0.44 % ------ AIG Options
% 0.20/0.44
% 0.20/0.44 % --aig_mode false
% 0.20/0.44
% 0.20/0.44 % ------ Instantiation Options
% 0.20/0.44
% 0.20/0.44 % --instantiation_flag true
% 0.20/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44 % --inst_solver_per_active 750
% 0.20/0.44 % --inst_solver_calls_frac 0.5
% 0.20/0.44 % --inst_passive_queue_type priority_queues
% 0.20/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44 % --inst_passive_queues_freq [25;2]
% 0.20/0.44 % --inst_dismatching true
% 0.20/0.44 % --inst_eager_unprocessed_to_passive true
% 0.20/0.44 % --inst_prop_sim_given true
% 0.20/0.44 % --inst_prop_sim_new false
% 0.20/0.44 % --inst_orphan_elimination true
% 0.20/0.44 % --inst_learning_loop_flag true
% 0.20/0.44 % --inst_learning_start 3000
% 0.20/0.44 % --inst_learning_factor 2
% 0.20/0.44 % --inst_start_prop_sim_after_learn 3
% 0.20/0.44 % --inst_sel_renew solver
% 0.20/0.44 % --inst_lit_activity_flag true
% 0.20/0.44 % --inst_out_proof true
% 0.20/0.44
% 0.20/0.44 % ------ Resolution Options
% 0.20/0.44
% 0.20/0.44 % --resolution_flag true
% 0.20/0.44 % --res_lit_sel kbo_max
% 0.20/0.44 % --res_to_prop_solver none
% 0.20/0.44 % --res_prop_simpl_new false
% 0.20/0.44 % --res_prop_simpl_given false
% 0.20/0.44 % --res_passive_queue_type priority_queues
% 0.20/0.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44 % --res_passive_queues_freq [15;5]
% 0.20/0.44 % --res_forward_subs full
% 0.20/0.44 % --res_backward_subs full
% 0.20/0.44 % --res_forward_subs_resolution true
% 0.20/0.44 % --res_backward_subs_resolution true
% 0.20/0.44 % --res_orphan_elimination false
% 0.20/0.44 % --res_time_limit 1000.
% 0.20/0.44 % --res_out_proof true
% 0.20/0.44 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_72954b.s
% 0.20/0.44 % --modulo true
% 0.20/0.44
% 0.20/0.44 % ------ Combination Options
% 0.20/0.44
% 0.20/0.44 % --comb_res_mult 1000
% 0.20/0.44 % --comb_inst_mult 300
% 0.20/0.44 % ------
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % ------ Proving...
% 0.20/0.44 % warning: shown sat in sat incomplete mode
% 0.20/0.44 %
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 cnf(c_81,negated_conjecture,
% 0.20/0.44 ( order(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_9) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_165,negated_conjecture,
% 0.20/0.44 ( order(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_81]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_178,negated_conjecture,
% 0.20/0.44 ( order(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_165]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_179,negated_conjecture,
% 0.20/0.44 ( order(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_178]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_184,negated_conjecture,
% 0.20/0.44 ( order(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_179]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_427,negated_conjecture,
% 0.20/0.44 ( order(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_184]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_0,plain,
% 0.20/0.44 ( epred1_2(X0,X1) | ~ order(X0,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_218_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_269,plain,
% 0.20/0.44 ( epred1_2(X0,X1) | ~ order(X0,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_0]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_270,plain,
% 0.20/0.44 ( ~ order(X0,X1) | epred1_2(X0,X1) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_269]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_435,plain,
% 0.20/0.44 ( epred1_2(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44 inference(resolution,[status(thm)],[c_427,c_270]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_436,plain,
% 0.20/0.44 ( epred1_2(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_435]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_67,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | ~ member(X2,X1)
% 0.20/0.44 | ~ member(X3,X1)
% 0.20/0.44 | ~ apply(X4,X0,X2)
% 0.20/0.44 | ~ apply(X4,X2,X3)
% 0.20/0.44 | apply(X4,X0,X3)
% 0.20/0.44 | ~ epred1_2(X4,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_151_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_403,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | ~ member(X2,X1)
% 0.20/0.44 | ~ member(X3,X1)
% 0.20/0.44 | ~ apply(X4,X0,X2)
% 0.20/0.44 | ~ apply(X4,X2,X3)
% 0.20/0.44 | apply(X4,X0,X3)
% 0.20/0.44 | ~ epred1_2(X4,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_67]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_404,plain,
% 0.20/0.44 ( ~ epred1_2(X0,X1)
% 0.20/0.44 | ~ member(X2,X1)
% 0.20/0.44 | ~ member(X3,X1)
% 0.20/0.44 | ~ member(X4,X1)
% 0.20/0.44 | ~ apply(X0,X2,X3)
% 0.20/0.44 | ~ apply(X0,X3,X4)
% 0.20/0.44 | apply(X0,X2,X4) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_403]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_457,plain,
% 0.20/0.44 ( ~ epred1_2(X0,sk3_esk2_0)
% 0.20/0.44 | ~ member(sk3_esk1_0,sk3_esk2_0)
% 0.20/0.44 | ~ member(X1,sk3_esk2_0)
% 0.20/0.44 | ~ member(X2,sk3_esk2_0)
% 0.20/0.44 | ~ apply(X0,X2,sk3_esk1_0)
% 0.20/0.44 | apply(X0,X1,sk3_esk1_0)
% 0.20/0.44 | ~ apply(X0,X1,X2) ),
% 0.20/0.44 inference(resolution,[status(thm)],[c_436,c_404]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_458,plain,
% 0.20/0.44 ( ~ epred1_2(X0,sk3_esk2_0)
% 0.20/0.44 | ~ member(sk3_esk1_0,sk3_esk2_0)
% 0.20/0.44 | ~ member(X1,sk3_esk2_0)
% 0.20/0.44 | ~ member(X2,sk3_esk2_0)
% 0.20/0.44 | ~ apply(X0,X2,sk3_esk1_0)
% 0.20/0.44 | apply(X0,X1,sk3_esk1_0)
% 0.20/0.44 | ~ apply(X0,X1,X2) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_457]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_58,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | ~ member(X2,X1)
% 0.20/0.44 | ~ apply(X3,X0,X2)
% 0.20/0.44 | ~ apply(X3,X2,X0)
% 0.20/0.44 | X0 = X2
% 0.20/0.44 | ~ epred1_2(X3,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_160_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_385,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | ~ member(X2,X1)
% 0.20/0.44 | ~ apply(X3,X0,X2)
% 0.20/0.44 | ~ apply(X3,X2,X0)
% 0.20/0.44 | X0 = X2
% 0.20/0.44 | ~ epred1_2(X3,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_58]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_386,plain,
% 0.20/0.44 ( ~ epred1_2(X0,X1)
% 0.20/0.44 | ~ member(X2,X1)
% 0.20/0.44 | ~ member(X3,X1)
% 0.20/0.44 | ~ apply(X0,X2,X3)
% 0.20/0.44 | ~ apply(X0,X3,X2)
% 0.20/0.44 | X2 = X3 ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_385]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_455,plain,
% 0.20/0.44 ( ~ epred1_2(X0,sk3_esk2_0)
% 0.20/0.44 | ~ member(sk3_esk1_0,sk3_esk2_0)
% 0.20/0.44 | ~ member(X1,sk3_esk2_0)
% 0.20/0.44 | ~ apply(X0,sk3_esk1_0,X1)
% 0.20/0.44 | ~ apply(X0,X1,sk3_esk1_0)
% 0.20/0.44 | X1 = sk3_esk1_0 ),
% 0.20/0.44 inference(resolution,[status(thm)],[c_436,c_386]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_456,plain,
% 0.20/0.44 ( ~ epred1_2(X0,sk3_esk2_0)
% 0.20/0.44 | ~ member(sk3_esk1_0,sk3_esk2_0)
% 0.20/0.44 | ~ member(X1,sk3_esk2_0)
% 0.20/0.44 | ~ apply(X0,sk3_esk1_0,X1)
% 0.20/0.44 | ~ apply(X0,X1,sk3_esk1_0)
% 0.20/0.44 | X1 = sk3_esk1_0 ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_455]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_77,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk11_4(X1,X0,X2,X3),X3)
% 0.20/0.44 | ~ lower_bound(X3,X0,X1)
% 0.20/0.44 | ~ member(X3,X1)
% 0.20/0.44 | greatest_lower_bound(X3,X1,X0,X2) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_141_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_423,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk11_4(X1,X0,X2,X3),X3)
% 0.20/0.44 | ~ lower_bound(X3,X0,X1)
% 0.20/0.44 | ~ member(X3,X1)
% 0.20/0.44 | greatest_lower_bound(X3,X1,X0,X2) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_77]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_424,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | ~ apply(X2,sk1_esk11_4(X1,X2,X3,X0),X0)
% 0.20/0.44 | ~ lower_bound(X0,X2,X1)
% 0.20/0.44 | greatest_lower_bound(X0,X1,X2,X3) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_423]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_76,plain,
% 0.20/0.44 ( ~ apply(X0,X1,sk1_esk10_4(X2,X0,X3,X1))
% 0.20/0.44 | ~ upper_bound(X1,X0,X2)
% 0.20/0.44 | ~ member(X1,X2)
% 0.20/0.44 | least_upper_bound(X1,X2,X0,X3) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_142_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_421,plain,
% 0.20/0.44 ( ~ apply(X0,X1,sk1_esk10_4(X2,X0,X3,X1))
% 0.20/0.44 | ~ upper_bound(X1,X0,X2)
% 0.20/0.44 | ~ member(X1,X2)
% 0.20/0.44 | least_upper_bound(X1,X2,X0,X3) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_76]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_422,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | ~ apply(X2,X0,sk1_esk10_4(X1,X2,X3,X0))
% 0.20/0.44 | ~ upper_bound(X0,X2,X1)
% 0.20/0.44 | least_upper_bound(X0,X1,X2,X3) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_421]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_75,plain,
% 0.20/0.44 ( ~ lower_bound(X0,X1,X2)
% 0.20/0.44 | ~ member(X0,X2)
% 0.20/0.44 | lower_bound(sk1_esk11_4(X2,X1,X3,X0),X1,X2)
% 0.20/0.44 | greatest_lower_bound(X0,X2,X1,X3) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_143_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_419,plain,
% 0.20/0.44 ( ~ lower_bound(X0,X1,X2)
% 0.20/0.44 | ~ member(X0,X2)
% 0.20/0.44 | lower_bound(sk1_esk11_4(X2,X1,X3,X0),X1,X2)
% 0.20/0.44 | greatest_lower_bound(X0,X2,X1,X3) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_75]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_420,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | lower_bound(sk1_esk11_4(X1,X2,X3,X0),X2,X1)
% 0.20/0.44 | ~ lower_bound(X0,X2,X1)
% 0.20/0.44 | greatest_lower_bound(X0,X1,X2,X3) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_419]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_74,plain,
% 0.20/0.44 ( ~ upper_bound(X0,X1,X2)
% 0.20/0.44 | ~ member(X0,X2)
% 0.20/0.44 | upper_bound(sk1_esk10_4(X2,X1,X3,X0),X1,X2)
% 0.20/0.44 | least_upper_bound(X0,X2,X1,X3) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_144_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_417,plain,
% 0.20/0.44 ( ~ upper_bound(X0,X1,X2)
% 0.20/0.44 | ~ member(X0,X2)
% 0.20/0.44 | upper_bound(sk1_esk10_4(X2,X1,X3,X0),X1,X2)
% 0.20/0.44 | least_upper_bound(X0,X2,X1,X3) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_74]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_418,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | upper_bound(sk1_esk10_4(X1,X2,X3,X0),X2,X1)
% 0.20/0.44 | ~ upper_bound(X0,X2,X1)
% 0.20/0.44 | least_upper_bound(X0,X1,X2,X3) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_417]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_73,plain,
% 0.20/0.44 ( ~ lower_bound(X0,X1,X2)
% 0.20/0.44 | ~ member(X0,X2)
% 0.20/0.44 | member(sk1_esk11_4(X2,X1,X3,X0),X3)
% 0.20/0.44 | greatest_lower_bound(X0,X2,X1,X3) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_145_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_415,plain,
% 0.20/0.44 ( ~ lower_bound(X0,X1,X2)
% 0.20/0.44 | ~ member(X0,X2)
% 0.20/0.44 | member(sk1_esk11_4(X2,X1,X3,X0),X3)
% 0.20/0.44 | greatest_lower_bound(X0,X2,X1,X3) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_73]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_416,plain,
% 0.20/0.44 ( member(sk1_esk11_4(X0,X1,X2,X3),X2)
% 0.20/0.44 | ~ member(X3,X0)
% 0.20/0.44 | ~ lower_bound(X3,X1,X0)
% 0.20/0.44 | greatest_lower_bound(X3,X0,X1,X2) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_415]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_72,plain,
% 0.20/0.44 ( ~ upper_bound(X0,X1,X2)
% 0.20/0.44 | ~ member(X0,X2)
% 0.20/0.44 | member(sk1_esk10_4(X2,X1,X3,X0),X3)
% 0.20/0.44 | least_upper_bound(X0,X2,X1,X3) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_146_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_413,plain,
% 0.20/0.44 ( ~ upper_bound(X0,X1,X2)
% 0.20/0.44 | ~ member(X0,X2)
% 0.20/0.44 | member(sk1_esk10_4(X2,X1,X3,X0),X3)
% 0.20/0.44 | least_upper_bound(X0,X2,X1,X3) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_72]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_414,plain,
% 0.20/0.44 ( member(sk1_esk10_4(X0,X1,X2,X3),X2)
% 0.20/0.44 | ~ member(X3,X0)
% 0.20/0.44 | ~ upper_bound(X3,X1,X0)
% 0.20/0.44 | least_upper_bound(X3,X0,X1,X2) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_413]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_71,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | ~ lower_bound(X0,X2,X3)
% 0.20/0.44 | apply(X2,X0,X4)
% 0.20/0.44 | ~ greatest_lower_bound(X4,X3,X2,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_147_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_411,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | ~ lower_bound(X0,X2,X3)
% 0.20/0.44 | apply(X2,X0,X4)
% 0.20/0.44 | ~ greatest_lower_bound(X4,X3,X2,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_71]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_412,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | apply(X2,X0,X3)
% 0.20/0.44 | ~ lower_bound(X0,X2,X4)
% 0.20/0.44 | ~ greatest_lower_bound(X3,X4,X2,X1) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_411]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_70,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | ~ upper_bound(X0,X2,X3)
% 0.20/0.44 | apply(X2,X4,X0)
% 0.20/0.44 | ~ least_upper_bound(X4,X3,X2,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_148_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_409,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | ~ upper_bound(X0,X2,X3)
% 0.20/0.44 | apply(X2,X4,X0)
% 0.20/0.44 | ~ least_upper_bound(X4,X3,X2,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_70]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_410,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | apply(X2,X3,X0)
% 0.20/0.44 | ~ upper_bound(X0,X2,X4)
% 0.20/0.44 | ~ least_upper_bound(X3,X4,X2,X1) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_409]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_69,plain,
% 0.20/0.44 ( ~ apply(X0,X1,sk1_esk7_3(X0,X1,X2))
% 0.20/0.44 | ~ member(X1,X2)
% 0.20/0.44 | least(X1,X0,X2) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_149_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_407,plain,
% 0.20/0.44 ( ~ apply(X0,X1,sk1_esk7_3(X0,X1,X2))
% 0.20/0.44 | ~ member(X1,X2)
% 0.20/0.44 | least(X1,X0,X2) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_69]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_408,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | least(X0,X2,X1)
% 0.20/0.44 | ~ apply(X2,X0,sk1_esk7_3(X2,X0,X1)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_407]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_68,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk6_3(X0,X1,X2),X1)
% 0.20/0.44 | ~ member(X1,X2)
% 0.20/0.44 | greatest(X1,X0,X2) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_150_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_405,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk6_3(X0,X1,X2),X1)
% 0.20/0.44 | ~ member(X1,X2)
% 0.20/0.44 | greatest(X1,X0,X2) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_68]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_406,plain,
% 0.20/0.44 ( greatest(X0,X1,X2)
% 0.20/0.44 | ~ member(X0,X2)
% 0.20/0.44 | ~ apply(X1,sk1_esk6_3(X1,X0,X2),X0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_405]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_62,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk14_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | apply(X0,sk1_esk12_2(X1,X0),sk1_esk13_2(X1,X0))
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_156_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_393,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk14_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | apply(X0,sk1_esk12_2(X1,X0),sk1_esk13_2(X1,X0))
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_62]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_394,plain,
% 0.20/0.44 ( epred1_2(X0,X1)
% 0.20/0.44 | ~ apply(X0,sk1_esk14_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | apply(X0,sk1_esk12_2(X1,X0),sk1_esk13_2(X1,X0)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_393]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_61,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk14_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | apply(X0,sk1_esk13_2(X1,X0),sk1_esk12_2(X1,X0))
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_157_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_391,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk14_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | apply(X0,sk1_esk13_2(X1,X0),sk1_esk12_2(X1,X0))
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_61]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_392,plain,
% 0.20/0.44 ( epred1_2(X0,X1)
% 0.20/0.44 | apply(X0,sk1_esk13_2(X1,X0),sk1_esk12_2(X1,X0))
% 0.20/0.44 | ~ apply(X0,sk1_esk14_2(X1,X0),sk1_esk16_2(X1,X0)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_391]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_57,plain,
% 0.20/0.44 ( ~ member(X0,X1) | apply(X2,sk1_esk9_3(X2,X0,X1),X0) | min(X0,X2,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_161_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_383,plain,
% 0.20/0.44 ( ~ member(X0,X1) | apply(X2,sk1_esk9_3(X2,X0,X1),X0) | min(X0,X2,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_57]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_384,plain,
% 0.20/0.44 ( ~ member(X0,X1) | min(X0,X2,X1) | apply(X2,sk1_esk9_3(X2,X0,X1),X0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_383]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_56,plain,
% 0.20/0.44 ( ~ member(X0,X1) | apply(X2,X0,sk1_esk8_3(X2,X0,X1)) | max(X0,X2,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_162_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_381,plain,
% 0.20/0.44 ( ~ member(X0,X1) | apply(X2,X0,sk1_esk8_3(X2,X0,X1)) | max(X0,X2,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_56]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_382,plain,
% 0.20/0.44 ( ~ member(X0,X1) | max(X0,X2,X1) | apply(X2,X0,sk1_esk8_3(X2,X0,X1)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_381]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_55,plain,
% 0.20/0.44 ( apply(X0,sk1_esk14_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.20/0.44 | apply(X0,sk1_esk12_2(X1,X0),sk1_esk13_2(X1,X0))
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_163_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_379,plain,
% 0.20/0.44 ( apply(X0,sk1_esk14_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.20/0.44 | apply(X0,sk1_esk12_2(X1,X0),sk1_esk13_2(X1,X0))
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_55]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_380,plain,
% 0.20/0.44 ( epred1_2(X0,X1)
% 0.20/0.44 | apply(X0,sk1_esk14_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.20/0.44 | apply(X0,sk1_esk12_2(X1,X0),sk1_esk13_2(X1,X0)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_379]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_54,plain,
% 0.20/0.44 ( apply(X0,sk1_esk15_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | apply(X0,sk1_esk12_2(X1,X0),sk1_esk13_2(X1,X0))
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_164_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_377,plain,
% 0.20/0.44 ( apply(X0,sk1_esk15_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | apply(X0,sk1_esk12_2(X1,X0),sk1_esk13_2(X1,X0))
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_54]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_378,plain,
% 0.20/0.44 ( epred1_2(X0,X1)
% 0.20/0.44 | apply(X0,sk1_esk15_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | apply(X0,sk1_esk12_2(X1,X0),sk1_esk13_2(X1,X0)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_377]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_53,plain,
% 0.20/0.44 ( apply(X0,sk1_esk14_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.20/0.44 | apply(X0,sk1_esk13_2(X1,X0),sk1_esk12_2(X1,X0))
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_165_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_375,plain,
% 0.20/0.44 ( apply(X0,sk1_esk14_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.20/0.44 | apply(X0,sk1_esk13_2(X1,X0),sk1_esk12_2(X1,X0))
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_53]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_376,plain,
% 0.20/0.44 ( epred1_2(X0,X1)
% 0.20/0.44 | apply(X0,sk1_esk13_2(X1,X0),sk1_esk12_2(X1,X0))
% 0.20/0.44 | apply(X0,sk1_esk14_2(X1,X0),sk1_esk15_2(X1,X0)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_375]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_52,plain,
% 0.20/0.44 ( apply(X0,sk1_esk15_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | apply(X0,sk1_esk13_2(X1,X0),sk1_esk12_2(X1,X0))
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_166_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_373,plain,
% 0.20/0.44 ( apply(X0,sk1_esk15_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | apply(X0,sk1_esk13_2(X1,X0),sk1_esk12_2(X1,X0))
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_52]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_374,plain,
% 0.20/0.44 ( epred1_2(X0,X1)
% 0.20/0.44 | apply(X0,sk1_esk13_2(X1,X0),sk1_esk12_2(X1,X0))
% 0.20/0.44 | apply(X0,sk1_esk15_2(X1,X0),sk1_esk16_2(X1,X0)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_373]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_51,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk14_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | sk1_esk13_2(X1,X0) != sk1_esk12_2(X1,X0)
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_167_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_371,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk14_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | sk1_esk13_2(X1,X0) != sk1_esk12_2(X1,X0)
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_51]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_372,plain,
% 0.20/0.44 ( epred1_2(X0,X1)
% 0.20/0.44 | ~ apply(X0,sk1_esk14_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | sk1_esk13_2(X1,X0) != sk1_esk12_2(X1,X0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_371]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_50,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk14_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | member(sk1_esk12_2(X1,X0),X1)
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_168_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_369,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk14_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | member(sk1_esk12_2(X1,X0),X1)
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_50]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_370,plain,
% 0.20/0.44 ( epred1_2(X0,X1)
% 0.20/0.44 | member(sk1_esk12_2(X1,X0),X1)
% 0.20/0.44 | ~ apply(X0,sk1_esk14_2(X1,X0),sk1_esk16_2(X1,X0)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_369]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_49,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk14_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | member(sk1_esk13_2(X1,X0),X1)
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_169_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_367,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk14_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | member(sk1_esk13_2(X1,X0),X1)
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_49]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_368,plain,
% 0.20/0.44 ( epred1_2(X0,X1)
% 0.20/0.44 | member(sk1_esk13_2(X1,X0),X1)
% 0.20/0.44 | ~ apply(X0,sk1_esk14_2(X1,X0),sk1_esk16_2(X1,X0)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_367]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_48,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk2_2(X0,X1),sk1_esk3_2(X0,X1))
% 0.20/0.44 | ~ order(X0,X1)
% 0.20/0.44 | total_order(X0,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_170_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_365,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk2_2(X0,X1),sk1_esk3_2(X0,X1))
% 0.20/0.44 | ~ order(X0,X1)
% 0.20/0.44 | total_order(X0,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_48]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_366,plain,
% 0.20/0.44 ( ~ order(X0,X1)
% 0.20/0.44 | total_order(X0,X1)
% 0.20/0.44 | ~ apply(X0,sk1_esk2_2(X0,X1),sk1_esk3_2(X0,X1)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_365]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_47,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk3_2(X0,X1),sk1_esk2_2(X0,X1))
% 0.20/0.44 | ~ order(X0,X1)
% 0.20/0.44 | total_order(X0,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_171_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_363,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk3_2(X0,X1),sk1_esk2_2(X0,X1))
% 0.20/0.44 | ~ order(X0,X1)
% 0.20/0.44 | total_order(X0,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_47]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_364,plain,
% 0.20/0.44 ( ~ order(X0,X1)
% 0.20/0.44 | total_order(X0,X1)
% 0.20/0.44 | ~ apply(X0,sk1_esk3_2(X0,X1),sk1_esk2_2(X0,X1)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_363]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_46,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk1_2(X0,X1),sk1_esk1_2(X0,X1))
% 0.20/0.44 | ~ epred1_2(X0,X1)
% 0.20/0.44 | order(X0,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_172_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_361,plain,
% 0.20/0.44 ( ~ apply(X0,sk1_esk1_2(X0,X1),sk1_esk1_2(X0,X1))
% 0.20/0.44 | ~ epred1_2(X0,X1)
% 0.20/0.44 | order(X0,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_46]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_362,plain,
% 0.20/0.44 ( order(X0,X1)
% 0.20/0.44 | ~ epred1_2(X0,X1)
% 0.20/0.44 | ~ apply(X0,sk1_esk1_2(X0,X1),sk1_esk1_2(X0,X1)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_361]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_45,plain,
% 0.20/0.44 ( ~ member(X0,X1) | member(sk1_esk9_3(X2,X0,X1),X1) | min(X0,X2,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_173_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_359,plain,
% 0.20/0.44 ( ~ member(X0,X1) | member(sk1_esk9_3(X2,X0,X1),X1) | min(X0,X2,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_45]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_360,plain,
% 0.20/0.44 ( member(sk1_esk9_3(X0,X1,X2),X2) | ~ member(X1,X2) | min(X1,X0,X2) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_359]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_44,plain,
% 0.20/0.44 ( ~ member(X0,X1) | member(sk1_esk8_3(X2,X0,X1),X1) | max(X0,X2,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_174_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_357,plain,
% 0.20/0.44 ( ~ member(X0,X1) | member(sk1_esk8_3(X2,X0,X1),X1) | max(X0,X2,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_44]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_358,plain,
% 0.20/0.44 ( member(sk1_esk8_3(X0,X1,X2),X2) | ~ member(X1,X2) | max(X1,X0,X2) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_357]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_43,plain,
% 0.20/0.44 ( ~ member(X0,X1) | member(sk1_esk7_3(X2,X0,X1),X1) | least(X0,X2,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_175_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_355,plain,
% 0.20/0.44 ( ~ member(X0,X1) | member(sk1_esk7_3(X2,X0,X1),X1) | least(X0,X2,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_43]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_356,plain,
% 0.20/0.44 ( member(sk1_esk7_3(X0,X1,X2),X2) | ~ member(X1,X2) | least(X1,X0,X2) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_355]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_42,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | member(sk1_esk6_3(X2,X0,X1),X1)
% 0.20/0.44 | greatest(X0,X2,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_176_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_353,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | member(sk1_esk6_3(X2,X0,X1),X1)
% 0.20/0.44 | greatest(X0,X2,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_42]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_354,plain,
% 0.20/0.44 ( greatest(X0,X1,X2)
% 0.20/0.44 | member(sk1_esk6_3(X1,X0,X2),X2)
% 0.20/0.44 | ~ member(X0,X2) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_353]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_39,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | ~ member(X2,X1)
% 0.20/0.44 | apply(X3,X0,X2)
% 0.20/0.44 | apply(X3,X2,X0)
% 0.20/0.44 | ~ total_order(X3,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_179_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_347,plain,
% 0.20/0.44 ( ~ member(X0,X1)
% 0.20/0.44 | ~ member(X2,X1)
% 0.20/0.44 | apply(X3,X0,X2)
% 0.20/0.44 | apply(X3,X2,X0)
% 0.20/0.44 | ~ total_order(X3,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_39]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_348,plain,
% 0.20/0.44 ( ~ total_order(X0,X1)
% 0.20/0.44 | ~ member(X2,X1)
% 0.20/0.44 | ~ member(X3,X1)
% 0.20/0.44 | apply(X0,X2,X3)
% 0.20/0.44 | apply(X0,X3,X2) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_347]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_38,plain,
% 0.20/0.44 ( ~ member(X0,X1) | ~ apply(X2,X0,X3) | X3 = X0 | ~ min(X3,X2,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_180_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_345,plain,
% 0.20/0.44 ( ~ member(X0,X1) | ~ apply(X2,X0,X3) | X3 = X0 | ~ min(X3,X2,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_38]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_346,plain,
% 0.20/0.44 ( ~ member(X0,X1) | ~ min(X2,X3,X1) | ~ apply(X3,X0,X2) | X2 = X0 ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_345]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_37,plain,
% 0.20/0.44 ( ~ member(X0,X1) | ~ apply(X2,X3,X0) | X3 = X0 | ~ max(X3,X2,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_181_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_343,plain,
% 0.20/0.44 ( ~ member(X0,X1) | ~ apply(X2,X3,X0) | X3 = X0 | ~ max(X3,X2,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_37]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_344,plain,
% 0.20/0.44 ( ~ member(X0,X1) | ~ max(X2,X3,X1) | ~ apply(X3,X2,X0) | X2 = X0 ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_343]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_36,plain,
% 0.20/0.44 ( sk1_esk13_2(X0,X1) != sk1_esk12_2(X0,X1)
% 0.20/0.44 | apply(X1,sk1_esk14_2(X0,X1),sk1_esk15_2(X0,X1))
% 0.20/0.44 | epred1_2(X1,X0) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_182_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_341,plain,
% 0.20/0.44 ( sk1_esk13_2(X0,X1) != sk1_esk12_2(X0,X1)
% 0.20/0.44 | apply(X1,sk1_esk14_2(X0,X1),sk1_esk15_2(X0,X1))
% 0.20/0.44 | epred1_2(X1,X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_36]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_342,plain,
% 0.20/0.44 ( epred1_2(X0,X1)
% 0.20/0.44 | apply(X0,sk1_esk14_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.20/0.44 | sk1_esk13_2(X1,X0) != sk1_esk12_2(X1,X0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_341]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_35,plain,
% 0.20/0.44 ( sk1_esk13_2(X0,X1) != sk1_esk12_2(X0,X1)
% 0.20/0.44 | apply(X1,sk1_esk15_2(X0,X1),sk1_esk16_2(X0,X1))
% 0.20/0.44 | epred1_2(X1,X0) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_183_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_339,plain,
% 0.20/0.44 ( sk1_esk13_2(X0,X1) != sk1_esk12_2(X0,X1)
% 0.20/0.44 | apply(X1,sk1_esk15_2(X0,X1),sk1_esk16_2(X0,X1))
% 0.20/0.44 | epred1_2(X1,X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_35]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_340,plain,
% 0.20/0.44 ( epred1_2(X0,X1)
% 0.20/0.44 | apply(X0,sk1_esk15_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | sk1_esk13_2(X1,X0) != sk1_esk12_2(X1,X0) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_339]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_34,plain,
% 0.20/0.44 ( sk1_esk9_3(X0,X1,X2) != X1 | ~ member(X1,X2) | min(X1,X0,X2) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_184_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_337,plain,
% 0.20/0.44 ( sk1_esk9_3(X0,X1,X2) != X1 | ~ member(X1,X2) | min(X1,X0,X2) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_34]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_338,plain,
% 0.20/0.44 ( ~ member(X0,X1) | min(X0,X2,X1) | sk1_esk9_3(X2,X0,X1) != X0 ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_337]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_33,plain,
% 0.20/0.44 ( sk1_esk8_3(X0,X1,X2) != X1 | ~ member(X1,X2) | max(X1,X0,X2) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_185_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_335,plain,
% 0.20/0.44 ( sk1_esk8_3(X0,X1,X2) != X1 | ~ member(X1,X2) | max(X1,X0,X2) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_33]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_336,plain,
% 0.20/0.44 ( ~ member(X0,X1) | max(X0,X2,X1) | sk1_esk8_3(X2,X0,X1) != X0 ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_335]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_32,plain,
% 0.20/0.44 ( apply(X0,sk1_esk14_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.20/0.44 | member(sk1_esk12_2(X1,X0),X1)
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_186_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_333,plain,
% 0.20/0.44 ( apply(X0,sk1_esk14_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.20/0.44 | member(sk1_esk12_2(X1,X0),X1)
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_32]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_334,plain,
% 0.20/0.44 ( epred1_2(X0,X1)
% 0.20/0.44 | member(sk1_esk12_2(X1,X0),X1)
% 0.20/0.44 | apply(X0,sk1_esk14_2(X1,X0),sk1_esk15_2(X1,X0)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_333]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_31,plain,
% 0.20/0.44 ( apply(X0,sk1_esk15_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | member(sk1_esk12_2(X1,X0),X1)
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_187_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_331,plain,
% 0.20/0.44 ( apply(X0,sk1_esk15_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | member(sk1_esk12_2(X1,X0),X1)
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_31]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_332,plain,
% 0.20/0.44 ( epred1_2(X0,X1)
% 0.20/0.44 | member(sk1_esk12_2(X1,X0),X1)
% 0.20/0.44 | apply(X0,sk1_esk15_2(X1,X0),sk1_esk16_2(X1,X0)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_331]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_30,plain,
% 0.20/0.44 ( apply(X0,sk1_esk14_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.20/0.44 | member(sk1_esk13_2(X1,X0),X1)
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_188_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_329,plain,
% 0.20/0.44 ( apply(X0,sk1_esk14_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.20/0.44 | member(sk1_esk13_2(X1,X0),X1)
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_30]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_330,plain,
% 0.20/0.44 ( epred1_2(X0,X1)
% 0.20/0.44 | member(sk1_esk13_2(X1,X0),X1)
% 0.20/0.44 | apply(X0,sk1_esk14_2(X1,X0),sk1_esk15_2(X1,X0)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_329]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_29,plain,
% 0.20/0.44 ( apply(X0,sk1_esk15_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | member(sk1_esk13_2(X1,X0),X1)
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_189_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_327,plain,
% 0.20/0.44 ( apply(X0,sk1_esk15_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.20/0.44 | member(sk1_esk13_2(X1,X0),X1)
% 0.20/0.44 | epred1_2(X0,X1) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_29]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_328,plain,
% 0.20/0.44 ( epred1_2(X0,X1)
% 0.20/0.44 | member(sk1_esk13_2(X1,X0),X1)
% 0.20/0.44 | apply(X0,sk1_esk15_2(X1,X0),sk1_esk16_2(X1,X0)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_327]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_28,plain,
% 0.20/0.44 ( member(sk1_esk14_2(X0,X1),X0)
% 0.20/0.44 | apply(X1,sk1_esk12_2(X0,X1),sk1_esk13_2(X0,X1))
% 0.20/0.44 | epred1_2(X1,X0) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_190_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_325,plain,
% 0.20/0.44 ( member(sk1_esk14_2(X0,X1),X0)
% 0.20/0.44 | apply(X1,sk1_esk12_2(X0,X1),sk1_esk13_2(X0,X1))
% 0.20/0.44 | epred1_2(X1,X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_28]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_326,plain,
% 0.20/0.44 ( epred1_2(X0,X1)
% 0.20/0.44 | member(sk1_esk14_2(X1,X0),X1)
% 0.20/0.44 | apply(X0,sk1_esk12_2(X1,X0),sk1_esk13_2(X1,X0)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_325]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_27,plain,
% 0.20/0.44 ( member(sk1_esk15_2(X0,X1),X0)
% 0.20/0.44 | apply(X1,sk1_esk12_2(X0,X1),sk1_esk13_2(X0,X1))
% 0.20/0.44 | epred1_2(X1,X0) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_191_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_323,plain,
% 0.20/0.44 ( member(sk1_esk15_2(X0,X1),X0)
% 0.20/0.44 | apply(X1,sk1_esk12_2(X0,X1),sk1_esk13_2(X0,X1))
% 0.20/0.44 | epred1_2(X1,X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_27]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_324,plain,
% 0.20/0.44 ( epred1_2(X0,X1)
% 0.20/0.44 | member(sk1_esk15_2(X1,X0),X1)
% 0.20/0.44 | apply(X0,sk1_esk12_2(X1,X0),sk1_esk13_2(X1,X0)) ),
% 0.20/0.44 inference(rewriting,[status(thm)],[c_323]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_26,plain,
% 0.20/0.44 ( member(sk1_esk16_2(X0,X1),X0)
% 0.20/0.44 | apply(X1,sk1_esk12_2(X0,X1),sk1_esk13_2(X0,X1))
% 0.20/0.44 | epred1_2(X1,X0) ),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_192_0) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_321,plain,
% 0.20/0.44 ( member(sk1_esk16_2(X0,X1),X0)
% 0.20/0.44 | apply(X1,sk1_esk12_2(X0,X1),sk1_esk13_2(X0,X1))
% 0.20/0.44 | epred1_2(X1,X0) ),
% 0.20/0.44 inference(copy,[status(esa)],[c_26]) ).
% 0.20/0.44
% 0.20/0.44 cnf(c_322,plain,
% 0.20/0.44 ( epred1_2(X0,X1)
% 0.20/0.44 | member(sk1_esk16_2(X1,X0),X1)
% 0.20/0.44 | apply(X0,sk1_esk12_2(X1,X0),sk1_esk13_2(X1,X0)) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_321]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_25,plain,
% 0.20/0.45 ( member(sk1_esk14_2(X0,X1),X0)
% 0.20/0.45 | apply(X1,sk1_esk13_2(X0,X1),sk1_esk12_2(X0,X1))
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_193_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_319,plain,
% 0.20/0.45 ( member(sk1_esk14_2(X0,X1),X0)
% 0.20/0.45 | apply(X1,sk1_esk13_2(X0,X1),sk1_esk12_2(X0,X1))
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_25]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_320,plain,
% 0.20/0.45 ( epred1_2(X0,X1)
% 0.20/0.45 | member(sk1_esk14_2(X1,X0),X1)
% 0.20/0.45 | apply(X0,sk1_esk13_2(X1,X0),sk1_esk12_2(X1,X0)) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_319]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_24,plain,
% 0.20/0.45 ( member(sk1_esk15_2(X0,X1),X0)
% 0.20/0.45 | apply(X1,sk1_esk13_2(X0,X1),sk1_esk12_2(X0,X1))
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_194_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_317,plain,
% 0.20/0.45 ( member(sk1_esk15_2(X0,X1),X0)
% 0.20/0.45 | apply(X1,sk1_esk13_2(X0,X1),sk1_esk12_2(X0,X1))
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_24]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_318,plain,
% 0.20/0.45 ( epred1_2(X0,X1)
% 0.20/0.45 | member(sk1_esk15_2(X1,X0),X1)
% 0.20/0.45 | apply(X0,sk1_esk13_2(X1,X0),sk1_esk12_2(X1,X0)) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_317]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_23,plain,
% 0.20/0.45 ( member(sk1_esk16_2(X0,X1),X0)
% 0.20/0.45 | apply(X1,sk1_esk13_2(X0,X1),sk1_esk12_2(X0,X1))
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_195_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_315,plain,
% 0.20/0.45 ( member(sk1_esk16_2(X0,X1),X0)
% 0.20/0.45 | apply(X1,sk1_esk13_2(X0,X1),sk1_esk12_2(X0,X1))
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_23]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_316,plain,
% 0.20/0.45 ( epred1_2(X0,X1)
% 0.20/0.45 | member(sk1_esk16_2(X1,X0),X1)
% 0.20/0.45 | apply(X0,sk1_esk13_2(X1,X0),sk1_esk12_2(X1,X0)) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_315]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_22,plain,
% 0.20/0.45 ( ~ member(X0,X1) | apply(X2,X3,X0) | ~ least(X3,X2,X1) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_196_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_313,plain,
% 0.20/0.45 ( ~ member(X0,X1) | apply(X2,X3,X0) | ~ least(X3,X2,X1) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_22]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_314,plain,
% 0.20/0.45 ( ~ member(X0,X1) | ~ least(X2,X3,X1) | apply(X3,X2,X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_313]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_21,plain,
% 0.20/0.45 ( ~ member(X0,X1) | apply(X2,X0,X3) | ~ greatest(X3,X2,X1) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_197_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_311,plain,
% 0.20/0.45 ( ~ member(X0,X1) | apply(X2,X0,X3) | ~ greatest(X3,X2,X1) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_21]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_312,plain,
% 0.20/0.45 ( ~ greatest(X0,X1,X2) | ~ member(X3,X2) | apply(X1,X3,X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_311]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_18,plain,
% 0.20/0.45 ( sk1_esk13_2(X0,X1) != sk1_esk12_2(X0,X1)
% 0.20/0.45 | member(sk1_esk14_2(X0,X1),X0)
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_200_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_305,plain,
% 0.20/0.45 ( sk1_esk13_2(X0,X1) != sk1_esk12_2(X0,X1)
% 0.20/0.45 | member(sk1_esk14_2(X0,X1),X0)
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_18]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_306,plain,
% 0.20/0.45 ( epred1_2(X0,X1)
% 0.20/0.45 | member(sk1_esk14_2(X1,X0),X1)
% 0.20/0.45 | sk1_esk13_2(X1,X0) != sk1_esk12_2(X1,X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_305]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_17,plain,
% 0.20/0.45 ( sk1_esk13_2(X0,X1) != sk1_esk12_2(X0,X1)
% 0.20/0.45 | member(sk1_esk15_2(X0,X1),X0)
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_201_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_303,plain,
% 0.20/0.45 ( sk1_esk13_2(X0,X1) != sk1_esk12_2(X0,X1)
% 0.20/0.45 | member(sk1_esk15_2(X0,X1),X0)
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_17]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_304,plain,
% 0.20/0.45 ( epred1_2(X0,X1)
% 0.20/0.45 | member(sk1_esk15_2(X1,X0),X1)
% 0.20/0.45 | sk1_esk13_2(X1,X0) != sk1_esk12_2(X1,X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_303]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_16,plain,
% 0.20/0.45 ( sk1_esk13_2(X0,X1) != sk1_esk12_2(X0,X1)
% 0.20/0.45 | member(sk1_esk16_2(X0,X1),X0)
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_202_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_301,plain,
% 0.20/0.45 ( sk1_esk13_2(X0,X1) != sk1_esk12_2(X0,X1)
% 0.20/0.45 | member(sk1_esk16_2(X0,X1),X0)
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_16]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_302,plain,
% 0.20/0.45 ( epred1_2(X0,X1)
% 0.20/0.45 | member(sk1_esk16_2(X1,X0),X1)
% 0.20/0.45 | sk1_esk13_2(X1,X0) != sk1_esk12_2(X1,X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_301]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_15,plain,
% 0.20/0.45 ( member(sk1_esk14_2(X0,X1),X0)
% 0.20/0.45 | member(sk1_esk12_2(X0,X1),X0)
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_203_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_299,plain,
% 0.20/0.45 ( member(sk1_esk14_2(X0,X1),X0)
% 0.20/0.45 | member(sk1_esk12_2(X0,X1),X0)
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_15]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_300,plain,
% 0.20/0.45 ( epred1_2(X0,X1)
% 0.20/0.45 | member(sk1_esk14_2(X1,X0),X1)
% 0.20/0.45 | member(sk1_esk12_2(X1,X0),X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_299]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_14,plain,
% 0.20/0.45 ( member(sk1_esk15_2(X0,X1),X0)
% 0.20/0.45 | member(sk1_esk12_2(X0,X1),X0)
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_204_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_297,plain,
% 0.20/0.45 ( member(sk1_esk15_2(X0,X1),X0)
% 0.20/0.45 | member(sk1_esk12_2(X0,X1),X0)
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_14]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_298,plain,
% 0.20/0.45 ( epred1_2(X0,X1)
% 0.20/0.45 | member(sk1_esk15_2(X1,X0),X1)
% 0.20/0.45 | member(sk1_esk12_2(X1,X0),X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_297]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_13,plain,
% 0.20/0.45 ( member(sk1_esk16_2(X0,X1),X0)
% 0.20/0.45 | member(sk1_esk12_2(X0,X1),X0)
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_205_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_295,plain,
% 0.20/0.45 ( member(sk1_esk16_2(X0,X1),X0)
% 0.20/0.45 | member(sk1_esk12_2(X0,X1),X0)
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_13]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_296,plain,
% 0.20/0.45 ( epred1_2(X0,X1)
% 0.20/0.45 | member(sk1_esk16_2(X1,X0),X1)
% 0.20/0.45 | member(sk1_esk12_2(X1,X0),X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_295]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_12,plain,
% 0.20/0.45 ( member(sk1_esk14_2(X0,X1),X0)
% 0.20/0.45 | member(sk1_esk13_2(X0,X1),X0)
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_206_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_293,plain,
% 0.20/0.45 ( member(sk1_esk14_2(X0,X1),X0)
% 0.20/0.45 | member(sk1_esk13_2(X0,X1),X0)
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_12]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_294,plain,
% 0.20/0.45 ( epred1_2(X0,X1)
% 0.20/0.45 | member(sk1_esk13_2(X1,X0),X1)
% 0.20/0.45 | member(sk1_esk14_2(X1,X0),X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_293]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_11,plain,
% 0.20/0.45 ( member(sk1_esk15_2(X0,X1),X0)
% 0.20/0.45 | member(sk1_esk13_2(X0,X1),X0)
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_207_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_291,plain,
% 0.20/0.45 ( member(sk1_esk15_2(X0,X1),X0)
% 0.20/0.45 | member(sk1_esk13_2(X0,X1),X0)
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_11]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_292,plain,
% 0.20/0.45 ( epred1_2(X0,X1)
% 0.20/0.45 | member(sk1_esk13_2(X1,X0),X1)
% 0.20/0.45 | member(sk1_esk15_2(X1,X0),X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_291]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_10,plain,
% 0.20/0.45 ( member(sk1_esk16_2(X0,X1),X0)
% 0.20/0.45 | member(sk1_esk13_2(X0,X1),X0)
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_208_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_289,plain,
% 0.20/0.45 ( member(sk1_esk16_2(X0,X1),X0)
% 0.20/0.45 | member(sk1_esk13_2(X0,X1),X0)
% 0.20/0.45 | epred1_2(X1,X0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_10]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_290,plain,
% 0.20/0.45 ( epred1_2(X0,X1)
% 0.20/0.45 | member(sk1_esk13_2(X1,X0),X1)
% 0.20/0.45 | member(sk1_esk16_2(X1,X0),X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_289]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_9,plain,
% 0.20/0.45 ( ~ member(X0,X1) | apply(X2,X0,X0) | ~ order(X2,X1) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_209_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_287,plain,
% 0.20/0.45 ( ~ member(X0,X1) | apply(X2,X0,X0) | ~ order(X2,X1) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_9]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_288,plain,
% 0.20/0.45 ( ~ order(X0,X1) | ~ member(X2,X1) | apply(X0,X2,X2) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_287]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_8,plain,
% 0.20/0.45 ( ~ order(X0,X1) | member(sk1_esk2_2(X0,X1),X1) | total_order(X0,X1) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_210_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_285,plain,
% 0.20/0.45 ( ~ order(X0,X1) | member(sk1_esk2_2(X0,X1),X1) | total_order(X0,X1) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_8]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_286,plain,
% 0.20/0.45 ( ~ order(X0,X1) | total_order(X0,X1) | member(sk1_esk2_2(X0,X1),X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_285]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_7,plain,
% 0.20/0.45 ( ~ order(X0,X1) | member(sk1_esk3_2(X0,X1),X1) | total_order(X0,X1) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_211_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_283,plain,
% 0.20/0.45 ( ~ order(X0,X1) | member(sk1_esk3_2(X0,X1),X1) | total_order(X0,X1) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_7]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_284,plain,
% 0.20/0.45 ( ~ order(X0,X1) | total_order(X0,X1) | member(sk1_esk3_2(X0,X1),X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_283]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_6,plain,
% 0.20/0.45 ( ~ epred1_2(X0,X1) | member(sk1_esk1_2(X0,X1),X1) | order(X0,X1) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_212_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_281,plain,
% 0.20/0.45 ( ~ epred1_2(X0,X1) | member(sk1_esk1_2(X0,X1),X1) | order(X0,X1) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_6]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_282,plain,
% 0.20/0.45 ( order(X0,X1) | ~ epred1_2(X0,X1) | member(sk1_esk1_2(X0,X1),X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_281]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_2,plain,
% 0.20/0.45 ( member(X0,X1) | ~ greatest(X0,X2,X1) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_216_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_273,plain,
% 0.20/0.45 ( member(X0,X1) | ~ greatest(X0,X2,X1) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_2]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_274,plain,
% 0.20/0.45 ( ~ greatest(X0,X1,X2) | member(X0,X2) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_273]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_80,negated_conjecture,
% 0.20/0.45 ( greatest(sk3_esk4_0,sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_8) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_163,negated_conjecture,
% 0.20/0.45 ( greatest(sk3_esk4_0,sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_80]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_177,negated_conjecture,
% 0.20/0.45 ( greatest(sk3_esk4_0,sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_163]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_180,negated_conjecture,
% 0.20/0.45 ( greatest(sk3_esk4_0,sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_177]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_183,negated_conjecture,
% 0.20/0.45 ( greatest(sk3_esk4_0,sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_180]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_425,negated_conjecture,
% 0.20/0.45 ( greatest(sk3_esk4_0,sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_183]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_79,negated_conjecture,
% 0.20/0.45 ( greatest(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_7) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_161,negated_conjecture,
% 0.20/0.45 ( greatest(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_79]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_176,negated_conjecture,
% 0.20/0.45 ( greatest(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_161]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_181,negated_conjecture,
% 0.20/0.45 ( greatest(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_176]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_186,negated_conjecture,
% 0.20/0.45 ( greatest(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_181]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_431,negated_conjecture,
% 0.20/0.45 ( greatest(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_186]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_78,negated_conjecture,
% 0.20/0.45 ( sk3_esk3_0 != sk3_esk4_0 ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_10) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_159,negated_conjecture,
% 0.20/0.45 ( sk3_esk3_0 != sk3_esk4_0 ),
% 0.20/0.45 inference(copy,[status(esa)],[c_78]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_175,negated_conjecture,
% 0.20/0.45 ( sk3_esk3_0 != sk3_esk4_0 ),
% 0.20/0.45 inference(copy,[status(esa)],[c_159]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_182,negated_conjecture,
% 0.20/0.45 ( sk3_esk3_0 != sk3_esk4_0 ),
% 0.20/0.45 inference(copy,[status(esa)],[c_175]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_185,negated_conjecture,
% 0.20/0.45 ( sk3_esk3_0 != sk3_esk4_0 ),
% 0.20/0.45 inference(copy,[status(esa)],[c_182]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_429,negated_conjecture,
% 0.20/0.45 ( sk3_esk3_0 != sk3_esk4_0 ),
% 0.20/0.45 inference(copy,[status(esa)],[c_185]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_66,plain,
% 0.20/0.45 ( ~ apply(X0,X1,sk1_esk5_3(X0,X1,X2)) | lower_bound(X1,X0,X2) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_152_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_401,plain,
% 0.20/0.45 ( ~ apply(X0,X1,sk1_esk5_3(X0,X1,X2)) | lower_bound(X1,X0,X2) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_66]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_65,plain,
% 0.20/0.45 ( ~ apply(X0,sk1_esk4_3(X0,X1,X2),X1) | upper_bound(X1,X0,X2) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_153_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_399,plain,
% 0.20/0.45 ( ~ apply(X0,sk1_esk4_3(X0,X1,X2),X1) | upper_bound(X1,X0,X2) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_65]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_64,plain,
% 0.20/0.45 ( lower_bound(X0,X1,X2) | ~ greatest_lower_bound(X0,X2,X1,X3) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_154_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_397,plain,
% 0.20/0.45 ( lower_bound(X0,X1,X2) | ~ greatest_lower_bound(X0,X2,X1,X3) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_64]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_63,plain,
% 0.20/0.45 ( upper_bound(X0,X1,X2) | ~ least_upper_bound(X0,X2,X1,X3) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_155_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_395,plain,
% 0.20/0.45 ( upper_bound(X0,X1,X2) | ~ least_upper_bound(X0,X2,X1,X3) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_63]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_60,plain,
% 0.20/0.45 ( member(X0,X1) | ~ greatest_lower_bound(X0,X1,X2,X3) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_158_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_389,plain,
% 0.20/0.45 ( member(X0,X1) | ~ greatest_lower_bound(X0,X1,X2,X3) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_60]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_59,plain,
% 0.20/0.45 ( member(X0,X1) | ~ least_upper_bound(X0,X1,X2,X3) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_159_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_387,plain,
% 0.20/0.45 ( member(X0,X1) | ~ least_upper_bound(X0,X1,X2,X3) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_59]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_41,plain,
% 0.20/0.45 ( member(sk1_esk5_3(X0,X1,X2),X2) | lower_bound(X1,X0,X2) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_177_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_351,plain,
% 0.20/0.45 ( member(sk1_esk5_3(X0,X1,X2),X2) | lower_bound(X1,X0,X2) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_41]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_40,plain,
% 0.20/0.45 ( member(sk1_esk4_3(X0,X1,X2),X2) | upper_bound(X1,X0,X2) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_178_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_349,plain,
% 0.20/0.45 ( member(sk1_esk4_3(X0,X1,X2),X2) | upper_bound(X1,X0,X2) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_40]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_20,plain,
% 0.20/0.45 ( ~ member(X0,X1) | apply(X2,X3,X0) | ~ lower_bound(X3,X2,X1) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_198_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_309,plain,
% 0.20/0.45 ( ~ member(X0,X1) | apply(X2,X3,X0) | ~ lower_bound(X3,X2,X1) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_20]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_19,plain,
% 0.20/0.45 ( ~ member(X0,X1) | apply(X2,X0,X3) | ~ upper_bound(X3,X2,X1) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_199_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_307,plain,
% 0.20/0.45 ( ~ member(X0,X1) | apply(X2,X0,X3) | ~ upper_bound(X3,X2,X1) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_19]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_5,plain,
% 0.20/0.45 ( member(X0,X1) | ~ min(X0,X2,X1) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_213_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_279,plain,
% 0.20/0.45 ( member(X0,X1) | ~ min(X0,X2,X1) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_5]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_4,plain,
% 0.20/0.45 ( member(X0,X1) | ~ max(X0,X2,X1) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_214_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_277,plain,
% 0.20/0.45 ( member(X0,X1) | ~ max(X0,X2,X1) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_4]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_3,plain,
% 0.20/0.45 ( member(X0,X1) | ~ least(X0,X2,X1) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_215_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_275,plain,
% 0.20/0.45 ( member(X0,X1) | ~ least(X0,X2,X1) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_3]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_1,plain,
% 0.20/0.45 ( order(X0,X1) | ~ total_order(X0,X1) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p', c_0_217_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_271,plain,
% 0.20/0.45 ( order(X0,X1) | ~ total_order(X0,X1) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_1]) ).
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 % ------ Statistics
% 0.20/0.45
% 0.20/0.45 % ------ General
% 0.20/0.45
% 0.20/0.45 % num_of_input_clauses: 82
% 0.20/0.45 % num_of_input_neg_conjectures: 4
% 0.20/0.45 % num_of_splits: 0
% 0.20/0.45 % num_of_split_atoms: 0
% 0.20/0.45 % num_of_sem_filtered_clauses: 0
% 0.20/0.45 % num_of_subtypes: 0
% 0.20/0.45 % monotx_restored_types: 0
% 0.20/0.45 % sat_num_of_epr_types: 0
% 0.20/0.45 % sat_num_of_non_cyclic_types: 0
% 0.20/0.45 % sat_guarded_non_collapsed_types: 0
% 0.20/0.45 % is_epr: 0
% 0.20/0.45 % is_horn: 0
% 0.20/0.45 % has_eq: 1
% 0.20/0.45 % num_pure_diseq_elim: 0
% 0.20/0.45 % simp_replaced_by: 0
% 0.20/0.45 % res_preprocessed: 8
% 0.20/0.45 % prep_upred: 0
% 0.20/0.45 % prep_unflattend: 0
% 0.20/0.45 % pred_elim_cands: 0
% 0.20/0.45 % pred_elim: 0
% 0.20/0.45 % pred_elim_cl: 0
% 0.20/0.45 % pred_elim_cycles: 0
% 0.20/0.45 % forced_gc_time: 0
% 0.20/0.45 % gc_basic_clause_elim: 0
% 0.20/0.45 % parsing_time: 0.004
% 0.20/0.45 % sem_filter_time: 0.
% 0.20/0.45 % pred_elim_time: 0.
% 0.20/0.45 % out_proof_time: 0.
% 0.20/0.45 % monotx_time: 0.
% 0.20/0.45 % subtype_inf_time: 0.
% 0.20/0.45 % unif_index_cands_time: 0.
% 0.20/0.45 % unif_index_add_time: 0.
% 0.20/0.45 % total_time: 0.043
% 0.20/0.45 % num_of_symbols: 58
% 0.20/0.45 % num_of_terms: 435
% 0.20/0.45
% 0.20/0.45 % ------ Propositional Solver
% 0.20/0.45
% 0.20/0.45 % prop_solver_calls: 1
% 0.20/0.45 % prop_fast_solver_calls: 12
% 0.20/0.45 % prop_num_of_clauses: 159
% 0.20/0.45 % prop_preprocess_simplified: 193
% 0.20/0.45 % prop_fo_subsumed: 0
% 0.20/0.45 % prop_solver_time: 0.
% 0.20/0.45 % prop_fast_solver_time: 0.
% 0.20/0.45 % prop_unsat_core_time: 0.
% 0.20/0.45
% 0.20/0.45 % ------ QBF
% 0.20/0.45
% 0.20/0.45 % qbf_q_res: 0
% 0.20/0.45 % qbf_num_tautologies: 0
% 0.20/0.45 % qbf_prep_cycles: 0
% 0.20/0.45
% 0.20/0.45 % ------ BMC1
% 0.20/0.45
% 0.20/0.45 % bmc1_current_bound: -1
% 0.20/0.45 % bmc1_last_solved_bound: -1
% 0.20/0.45 % bmc1_unsat_core_size: -1
% 0.20/0.45 % bmc1_unsat_core_parents_size: -1
% 0.20/0.45 % bmc1_merge_next_fun: 0
% 0.20/0.45 % bmc1_unsat_core_clauses_time: 0.
% 0.20/0.45
% 0.20/0.45 % ------ Instantiation
% 0.20/0.45
% 0.20/0.45 % inst_num_of_clauses: 82
% 0.20/0.45 % inst_num_in_passive: 0
% 0.20/0.45 % inst_num_in_active: 0
% 0.20/0.45 % inst_num_in_unprocessed: 82
% 0.20/0.45 % inst_num_of_loops: 0
% 0.20/0.45 % inst_num_of_learning_restarts: 0
% 0.20/0.45 % inst_num_moves_active_passive: 0
% 0.20/0.45 % inst_lit_activity: 0
% 0.20/0.45 % inst_lit_activity_moves: 0
% 0.20/0.45 % inst_num_tautologies: 0
% 0.20/0.45 % inst_num_prop_implied: 0
% 0.20/0.45 % inst_num_existing_simplified: 0
% 0.20/0.45 % inst_num_eq_res_simplified: 0
% 0.20/0.45 % inst_num_child_elim: 0
% 0.20/0.45 % inst_num_of_dismatching_blockings: 0
% 0.20/0.45 % inst_num_of_non_proper_insts: 0
% 0.20/0.45 % inst_num_of_duplicates: 0
% 0.20/0.45 % inst_inst_num_from_inst_to_res: 0
% 0.20/0.45 % inst_dismatching_checking_time: 0.
% 0.20/0.45
% 0.20/0.45 % ------ Resolution
% 0.20/0.45
% 0.20/0.45 % res_num_of_clauses: 149
% 0.20/0.45 % res_num_in_passive: 0
% 0.20/0.45 % res_num_in_active: 85
% 0.20/0.45 % res_num_of_loops: 13
% 0.20/0.45 % res_forward_subset_subsumed: 0
% 0.20/0.45 % res_backward_subset_subsumed: 0
% 0.20/0.45 % res_forward_subsumed: 5
% 0.20/0.45 % res_backward_subsumed: 0
% 0.20/0.45 % res_forward_subsumption_resolution: 0
% 0.20/0.45 % res_backward_subsumption_resolution: 0
% 0.20/0.45 % res_clause_to_clause_subsumption: 7
% 0.20/0.45 % res_orphan_elimination: 0
% 0.20/0.45 % res_tautology_del: 0
% 0.20/0.45 % res_num_eq_res_simplified: 0
% 0.20/0.45 % res_num_sel_changes: 0
% 0.20/0.45 % res_moves_from_active_to_pass: 0
% 0.20/0.45
% 0.20/0.45 % Status Unknown
% 0.20/0.50 % Orienting using strategy ClausalAll
% 0.20/0.50 % FOF problem with conjecture
% 0.20/0.50 % 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_72954b.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_11aea6.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_ed1fed | grep -v "SZS"
% 0.20/0.52
% 0.20/0.52 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.52
% 0.20/0.52 %
% 0.20/0.52 % ------ iProver source info
% 0.20/0.52
% 0.20/0.52 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.52 % git: non_committed_changes: true
% 0.20/0.52 % git: last_make_outside_of_git: true
% 0.20/0.52
% 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
% 0.20/0.55 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.55 % --bmc1_dump_file -
% 0.20/0.55 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.55 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.55 % --bmc1_ucm_extend_mode 1
% 0.20/0.55 % --bmc1_ucm_init_mode 2
% 0.20/0.55 % --bmc1_ucm_cone_mode none
% 0.20/0.55 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.55 % --bmc1_ucm_relax_model 4
% 0.20/0.55 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.55 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.55 % --bmc1_ucm_layered_model none
% 0.20/0.55 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.55
% 0.20/0.55 % ------ AIG Options
% 0.20/0.55
% 0.20/0.55 % --aig_mode false
% 0.20/0.55
% 0.20/0.55 % ------ Instantiation Options
% 0.20/0.55
% 0.20/0.55 % --instantiation_flag true
% 0.20/0.55 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.55 % --inst_solver_per_active 750
% 0.20/0.55 % --inst_solver_calls_frac 0.5
% 0.20/0.55 % --inst_passive_queue_type priority_queues
% 0.20/0.55 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.55 % --inst_passive_queues_freq [25;2]
% 0.20/0.55 % --inst_dismatching true
% 0.20/0.55 % --inst_eager_unprocessed_to_passive true
% 0.20/0.55 % --inst_prop_sim_given true
% 0.20/0.55 % --inst_prop_sim_new false
% 0.20/0.55 % --inst_orphan_elimination true
% 0.20/0.55 % --inst_learning_loop_flag true
% 0.20/0.55 % --inst_learning_start 3000
% 0.20/0.55 % --inst_learning_factor 2
% 0.20/0.55 % --inst_start_prop_sim_after_learn 3
% 0.20/0.55 % --inst_sel_renew solver
% 0.20/0.55 % --inst_lit_activity_flag true
% 0.20/0.55 % --inst_out_proof true
% 0.20/0.55
% 0.20/0.55 % ------ Resolution Options
% 0.20/0.55
% 0.20/0.55 % --resolution_flag true
% 0.20/0.55 % --res_lit_sel kbo_max
% 0.20/0.55 % --res_to_prop_solver none
% 0.20/0.55 % --res_prop_simpl_new false
% 0.20/0.55 % --res_prop_simpl_given false
% 0.20/0.55 % --res_passive_queue_type priority_queues
% 0.20/0.55 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.55 % --res_passive_queues_freq [15;5]
% 0.20/0.55 % --res_forward_subs full
% 0.20/0.55 % --res_backward_subs full
% 0.20/0.55 % --res_forward_subs_resolution true
% 0.20/0.55 % --res_backward_subs_resolution true
% 0.20/0.55 % --res_orphan_elimination false
% 0.20/0.55 % --res_time_limit 1000.
% 0.20/0.55 % --res_out_proof true
% 0.20/0.55 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_72954b.s
% 0.20/0.55 % --modulo true
% 0.20/0.55
% 0.20/0.55 % ------ Combination Options
% 0.20/0.55
% 0.20/0.55 % --comb_res_mult 1000
% 0.20/0.55 % --comb_inst_mult 300
% 0.20/0.55 % ------
% 0.20/0.55
% 0.20/0.55 % ------ Parsing...% successful
% 0.20/0.55
% 0.20/0.55 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.20/0.55
% 0.20/0.55 % ------ Proving...
% 0.20/0.55 % ------ Problem Properties
% 0.20/0.55
% 0.20/0.55 %
% 0.20/0.55 % EPR false
% 0.20/0.55 % Horn false
% 0.20/0.55 % Has equality true
% 0.20/0.55
% 0.20/0.55 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.55
% 0.20/0.55
% 0.20/0.55 % % ------ Current options:
% 0.20/0.55
% 0.20/0.55 % ------ Input Options
% 0.20/0.55
% 0.20/0.55 % --out_options all
% 0.20/0.55 % --tptp_safe_out true
% 0.20/0.55 % --problem_path ""
% 0.20/0.55 % --include_path ""
% 0.20/0.55 % --clausifier .//eprover
% 0.20/0.55 % --clausifier_options --tstp-format
% 0.20/0.55 % --stdin false
% 0.20/0.55 % --dbg_backtrace false
% 0.20/0.55 % --dbg_dump_prop_clauses false
% 0.20/0.55 % --dbg_dump_prop_clauses_file -
% 0.20/0.55 % --dbg_out_stat false
% 0.20/0.55
% 0.20/0.55 % ------ General Options
% 0.20/0.55
% 0.20/0.55 % --fof false
% 0.20/0.55 % --time_out_real 150.
% 0.20/0.55 % --time_out_prep_mult 0.2
% 0.20/0.55 % --time_out_virtual -1.
% 0.20/0.55 % --schedule none
% 0.20/0.55 % --ground_splitting input
% 0.20/0.55 % --splitting_nvd 16
% 0.20/0.55 % --non_eq_to_eq false
% 0.20/0.55 % --prep_gs_sim true
% 0.20/0.55 % --prep_unflatten false
% 0.20/0.55 % --prep_res_sim true
% 0.20/0.55 % --prep_upred true
% 0.20/0.55 % --res_sim_input true
% 0.20/0.55 % --clause_weak_htbl true
% 0.20/0.55 % --gc_record_bc_elim false
% 0.20/0.55 % --symbol_type_check false
% 0.20/0.55 % --clausify_out false
% 0.20/0.55 % --large_theory_mode false
% 0.20/0.55 % --prep_sem_filter none
% 0.20/0.55 % --prep_sem_filter_out false
% 0.20/0.55 % --preprocessed_out false
% 0.20/0.55 % --sub_typing false
% 0.20/0.55 % --brand_transform false
% 0.20/0.55 % --pure_diseq_elim true
% 0.20/0.55 % --min_unsat_core false
% 0.20/0.55 % --pred_elim true
% 0.20/0.55 % --add_important_lit false
% 0.20/0.55 % --soft_assumptions false
% 0.20/0.55 % --reset_solvers false
% 0.20/0.55 % --bc_imp_inh []
% 0.20/0.55 % --conj_cone_tolerance 1.5
% 0.20/0.55 % --prolific_symb_bound 500
% 0.20/0.55 % --lt_threshold 2000
% 0.20/0.55
% 0.20/0.55 % ------ SAT Options
% 0.20/0.55
% 0.20/0.55 % --sat_mode false
% 0.20/0.55 % --sat_fm_restart_options ""
% 0.20/0.55 % --sat_gr_def false
% 0.20/0.55 % --sat_epr_types true
% 0.20/0.55 % --sat_non_cyclic_types false
% 0.20/0.55 % --sat_finite_models false
% 0.20/0.55 % --sat_fm_lemmas false
% 0.20/0.55 % --sat_fm_prep false
% 0.20/0.55 % --sat_fm_uc_incr true
% 0.20/0.55 % --sat_out_model small
% 0.20/0.55 % --sat_out_clauses false
% 0.20/0.55
% 0.20/0.55 % ------ QBF Options
% 0.20/0.55
% 0.20/0.55 % --qbf_mode false
% 0.20/0.55 % --qbf_elim_univ true
% 0.20/0.55 % --qbf_sk_in true
% 0.20/0.55 % --qbf_pred_elim true
% 0.20/0.55 % --qbf_split 32
% 0.20/0.55
% 0.20/0.55 % ------ BMC1 Options
% 0.20/0.55
% 0.20/0.55 % --bmc1_incremental false
% 0.20/0.55 % --bmc1_axioms reachable_all
% 0.20/0.55 % --bmc1_min_bound 0
% 0.20/0.55 % --bmc1_max_bound -1
% 0.20/0.55 % --bmc1_max_bound_default -1
% 0.20/0.55 % --bmc1_symbol_reachability true
% 0.20/0.55 % --bmc1_property_lemmas false
% 0.20/0.55 % --bmc1_k_induction false
% 0.20/0.55 % --bmc1_non_equiv_states false
% 0.20/0.55 % --bmc1_deadlock false
% 0.20/0.55 % --bmc1_ucm false
% 0.20/0.55 % --bmc1_add_unsat_core none
% 0.20/0.55 % --bmc1_unsat_core_children false
% 0.20/0.55 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.55 % --bmc1_out_stat full
% 0.20/0.55 % --bmc1_ground_init false
% 0.20/0.55 % --bmc1_pre_inst_next_state false
% 0.20/0.55 % --bmc1_pre_inst_state false
% 0.20/0.55 % --bmc1_pre_inst_reach_state false
% 0.20/0.55 % --bmc1_out_unsat_core false
% 0.20/0.55 % --bmc1_aig_witness_out false
% 0.20/0.55 % --bmc1_verbose false
% 0.20/0.55 % --bmc1_dump_clauses_tptp false
% 0.20/0.55 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.55 % --bmc1_dump_file -
% 0.20/0.55 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.55 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.55 % --bmc1_ucm_extend_mode 1
% 0.20/0.55 % --bmc1_ucm_init_mode 2
% 0.20/0.55 % --bmc1_ucm_cone_mode none
% 0.20/0.55 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.55 % --bmc1_ucm_relax_model 4
% 0.20/0.55 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.55 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.55 % --bmc1_ucm_layered_model none
% 0.20/0.55 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.55
% 0.20/0.55 % ------ AIG Options
% 0.20/0.55
% 0.20/0.55 % --aig_mode false
% 0.20/0.55
% 0.20/0.55 % ------ Instantiation Options
% 0.20/0.55
% 0.20/0.55 % --instantiation_flag true
% 0.20/0.55 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.55 % --inst_solver_per_active 750
% 0.20/0.55 % --inst_solver_calls_frac 0.5
% 0.20/0.55 % --inst_passive_queue_type priority_queues
% 0.20/0.55 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.55 % --inst_passive_queues_freq [25;2]
% 0.20/0.55 % --inst_dismatching true
% 0.20/0.55 % --inst_eager_unprocessed_to_passive true
% 0.20/0.55 % --inst_prop_sim_given true
% 9.45/9.68 % --inst_prop_sim_new false
% 9.45/9.68 % --inst_orphan_elimination true
% 9.45/9.68 % --inst_learning_loop_flag true
% 9.45/9.68 % --inst_learning_start 3000
% 9.45/9.68 % --inst_learning_factor 2
% 9.45/9.68 % --inst_start_prop_sim_after_learn 3
% 9.45/9.68 % --inst_sel_renew solver
% 9.45/9.68 % --inst_lit_activity_flag true
% 9.45/9.68 % --inst_out_proof true
% 9.45/9.68
% 9.45/9.68 % ------ Resolution Options
% 9.45/9.68
% 9.45/9.68 % --resolution_flag true
% 9.45/9.68 % --res_lit_sel kbo_max
% 9.45/9.68 % --res_to_prop_solver none
% 9.45/9.68 % --res_prop_simpl_new false
% 9.45/9.68 % --res_prop_simpl_given false
% 9.45/9.68 % --res_passive_queue_type priority_queues
% 9.45/9.68 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 9.45/9.68 % --res_passive_queues_freq [15;5]
% 9.45/9.68 % --res_forward_subs full
% 9.45/9.68 % --res_backward_subs full
% 9.45/9.68 % --res_forward_subs_resolution true
% 9.45/9.68 % --res_backward_subs_resolution true
% 9.45/9.68 % --res_orphan_elimination false
% 9.45/9.68 % --res_time_limit 1000.
% 9.45/9.68 % --res_out_proof true
% 9.45/9.68 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_72954b.s
% 9.45/9.68 % --modulo true
% 9.45/9.68
% 9.45/9.68 % ------ Combination Options
% 9.45/9.68
% 9.45/9.68 % --comb_res_mult 1000
% 9.45/9.68 % --comb_inst_mult 300
% 9.45/9.68 % ------
% 9.45/9.68
% 9.45/9.68
% 9.45/9.68
% 9.45/9.68 % ------ Proving...
% 9.45/9.68 %
% 9.45/9.68
% 9.45/9.68
% 9.45/9.68 % ------ Statistics
% 9.45/9.68
% 9.45/9.68 % ------ General
% 9.45/9.68
% 9.45/9.68 % num_of_input_clauses: 243
% 9.45/9.68 % num_of_input_neg_conjectures: 4
% 9.45/9.68 % num_of_splits: 0
% 9.45/9.68 % num_of_split_atoms: 0
% 9.45/9.68 % num_of_sem_filtered_clauses: 0
% 9.45/9.68 % num_of_subtypes: 0
% 9.45/9.68 % monotx_restored_types: 0
% 9.45/9.68 % sat_num_of_epr_types: 0
% 9.45/9.68 % sat_num_of_non_cyclic_types: 0
% 9.45/9.68 % sat_guarded_non_collapsed_types: 0
% 9.45/9.68 % is_epr: 0
% 9.45/9.68 % is_horn: 0
% 9.45/9.68 % has_eq: 1
% 9.45/9.68 % num_pure_diseq_elim: 0
% 9.45/9.68 % simp_replaced_by: 0
% 9.45/9.68 % res_preprocessed: 8
% 9.45/9.68 % prep_upred: 0
% 9.45/9.68 % prep_unflattend: 0
% 9.45/9.68 % pred_elim_cands: 0
% 9.45/9.68 % pred_elim: 0
% 9.45/9.68 % pred_elim_cl: 0
% 9.45/9.68 % pred_elim_cycles: 0
% 9.45/9.68 % forced_gc_time: 0
% 9.45/9.68 % gc_basic_clause_elim: 0
% 9.45/9.68 % parsing_time: 0.011
% 9.45/9.68 % sem_filter_time: 0.
% 9.45/9.68 % pred_elim_time: 0.
% 9.45/9.68 % out_proof_time: 0.
% 9.45/9.68 % monotx_time: 0.
% 9.45/9.68 % subtype_inf_time: 0.
% 9.45/9.68 % unif_index_cands_time: 0.011
% 9.45/9.68 % unif_index_add_time: 0.003
% 9.45/9.68 % total_time: 9.179
% 9.45/9.68 % num_of_symbols: 58
% 9.45/9.68 % num_of_terms: 6018
% 9.45/9.68
% 9.45/9.68 % ------ Propositional Solver
% 9.45/9.68
% 9.45/9.68 % prop_solver_calls: 4
% 9.45/9.68 % prop_fast_solver_calls: 12
% 9.45/9.68 % prop_num_of_clauses: 572
% 9.45/9.68 % prop_preprocess_simplified: 1546
% 9.45/9.68 % prop_fo_subsumed: 0
% 9.45/9.68 % prop_solver_time: 0.
% 9.45/9.68 % prop_fast_solver_time: 0.
% 9.45/9.68 % prop_unsat_core_time: 0.
% 9.45/9.68
% 9.45/9.68 % ------ QBF
% 9.45/9.68
% 9.45/9.68 % qbf_q_res: 0
% 9.45/9.68 % qbf_num_tautologies: 0
% 9.45/9.68 % qbf_prep_cycles: 0
% 9.45/9.68
% 9.45/9.68 % ------ BMC1
% 9.45/9.68
% 9.45/9.68 % bmc1_current_bound: -1
% 9.45/9.68 % bmc1_last_solved_bound: -1
% 9.45/9.68 % bmc1_unsat_core_size: -1
% 9.45/9.68 % bmc1_unsat_core_parents_size: -1
% 9.45/9.68 % bmc1_merge_next_fun: 0
% 9.45/9.68 % bmc1_unsat_core_clauses_time: 0.
% 9.45/9.68
% 9.45/9.68 % ------ Instantiation
% 9.45/9.68
% 9.45/9.68 % inst_num_of_clauses: 444
% 9.45/9.68 % inst_num_in_passive: 93
% 9.45/9.68 % inst_num_in_active: 281
% 9.45/9.68 % inst_num_in_unprocessed: 68
% 9.45/9.68 % inst_num_of_loops: 310
% 9.45/9.68 % inst_num_of_learning_restarts: 0
% 9.45/9.69 % inst_num_moves_active_passive: 26
% 9.45/9.69 % inst_lit_activity: 177
% 9.45/9.69 % inst_lit_activity_moves: 0
% 9.45/9.69 % inst_num_tautologies: 0
% 9.45/9.69 % inst_num_prop_implied: 0
% 9.45/9.69 % inst_num_existing_simplified: 0
% 9.45/9.69 % inst_num_eq_res_simplified: 0
% 9.45/9.69 % inst_num_child_elim: 0
% 9.45/9.69 % inst_num_of_dismatching_blockings: 24
% 9.45/9.69 % inst_num_of_non_proper_insts: 634
% 9.45/9.69 % inst_num_of_duplicates: 545
% 9.45/9.69 % inst_inst_num_from_inst_to_res: 0
% 9.45/9.69 % inst_dismatching_checking_time: 0.
% 9.45/9.69
% 9.45/9.69 % ------ Resolution
% 9.45/9.69
% 9.45/9.69 % res_num_of_clauses: 85822
% 9.45/9.69 % res_num_in_passive: 87995
% 9.45/9.69 % res_num_in_active: 994
% 9.45/9.69 % res_num_of_loops: 2000
% 9.45/9.69 % res_forward_subset_subsumed: 18771
% 9.45/9.69 % res_backward_subset_subsumed: 3443
% 9.45/9.69 % res_forward_subsumed: 959
% 9.45/9.69 % res_backward_subsumed: 25
% 9.45/9.69 % res_forward_subsumption_resolution: 562
% 9.45/9.69 % res_backward_subsumption_resolution: 2
% 9.45/9.69 % res_clause_to_clause_subsumption: 72614
% 9.45/9.69 % res_orphan_elimination: 0
% 9.45/9.69 % res_tautology_del: 27095
% 9.45/9.69 % res_num_eq_res_simplified: 0
% 9.45/9.69 % res_num_sel_changes: 0
% 9.45/9.69 % res_moves_from_active_to_pass: 0
% 9.45/9.69
% 9.45/9.69 % Status Unsatisfiable
% 9.45/9.69 % SZS status Theorem
% 9.45/9.69 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------