TSTP Solution File: SYO604+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYO604+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n017.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 : 300s
% DateTime : Fri Sep 1 04:11:49 EDT 2023
% Result : Theorem 111.47s 111.48s
% Output : CNFRefutation 111.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 26
% Syntax : Number of formulae : 236 ( 15 unt; 20 typ; 0 def)
% Number of atoms : 2782 ( 0 equ)
% Maximal formula atoms : 1405 ( 12 avg)
% Number of connectives : 3189 ( 623 ~;2325 |; 235 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 149 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 18 >; 12 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-2 aty)
% Number of variables : 413 ( 1 sgn; 53 !; 36 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
g_true_only: ( $i * $i ) > $o ).
tff(decl_23,type,
g_both: ( $i * $i ) > $o ).
tff(decl_24,type,
g_false_only: ( $i * $i ) > $o ).
tff(decl_25,type,
g_true: ( $i * $i ) > $o ).
tff(decl_26,type,
g_false: ( $i * $i ) > $o ).
tff(decl_27,type,
epred1_2: ( $i * $i ) > $o ).
tff(decl_28,type,
esk1_0: $i ).
tff(decl_29,type,
esk2_1: $i > $i ).
tff(decl_30,type,
esk3_1: $i > $i ).
tff(decl_31,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_32,type,
esk5_1: $i > $i ).
tff(decl_33,type,
esk6_1: $i > $i ).
tff(decl_34,type,
esk7_1: $i > $i ).
tff(decl_35,type,
esk8_0: $i ).
tff(decl_36,type,
esk9_1: $i > $i ).
tff(decl_37,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_38,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_39,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_40,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_41,type,
esk14_2: ( $i * $i ) > $i ).
fof(exhaustion_g,axiom,
! [X4,X5] :
( g_true_only(X4,X5)
| g_both(X4,X5)
| g_false_only(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exhaustion_g) ).
fof(nc3,conjecture,
( ! [X1] :
? [X2] :
( ( g_true_only(X2,X1)
& ( ( ? [X3] :
( ( g_both(X2,X3)
| g_both(X3,X2) )
& ~ g_false_only(X2,X3)
& ~ g_false_only(X3,X2) )
& ~ ? [X3] :
( g_true_only(X2,X3)
& g_true_only(X3,X2) ) )
| ? [X3] :
( g_true_only(X2,X3)
& g_true_only(X3,X2) ) ) )
| ( g_both(X2,X1)
& ( ! [X3] :
( g_false_only(X2,X3)
| g_false_only(X3,X2) )
| ? [X3] :
( g_true_only(X2,X3)
& g_true_only(X3,X2) ) ) )
| ( g_false_only(X2,X1)
& ( ! [X3] :
( g_false_only(X2,X3)
| g_false_only(X3,X2) )
| ( ? [X3] :
( ( g_both(X2,X3)
| g_both(X3,X2) )
& ~ g_false_only(X2,X3)
& ~ g_false_only(X3,X2) )
& ~ ? [X3] :
( g_true_only(X2,X3)
& g_true_only(X3,X2) ) ) ) ) )
| ( ? [X1] :
( ? [X2] :
( g_both(X2,X1)
& ? [X3] :
( ( g_both(X2,X3)
| g_both(X3,X2) )
& ~ g_false_only(X2,X3)
& ~ g_false_only(X3,X2) )
& ~ ? [X3] :
( g_true_only(X2,X3)
& g_true_only(X3,X2) ) )
& ~ ? [X2] :
( ( g_true_only(X2,X1)
& ( ( ? [X3] :
( ( g_both(X2,X3)
| g_both(X3,X2) )
& ~ g_false_only(X2,X3)
& ~ g_false_only(X3,X2) )
& ~ ? [X3] :
( g_true_only(X2,X3)
& g_true_only(X3,X2) ) )
| ? [X3] :
( g_true_only(X2,X3)
& g_true_only(X3,X2) ) ) )
| ( g_both(X2,X1)
& ( ! [X3] :
( g_false_only(X2,X3)
| g_false_only(X3,X2) )
| ? [X3] :
( g_true_only(X2,X3)
& g_true_only(X3,X2) ) ) )
| ( g_false_only(X2,X1)
& ( ! [X3] :
( g_false_only(X2,X3)
| g_false_only(X3,X2) )
| ( ? [X3] :
( ( g_both(X2,X3)
| g_both(X3,X2) )
& ~ g_false_only(X2,X3)
& ~ g_false_only(X3,X2) )
& ~ ? [X3] :
( g_true_only(X2,X3)
& g_true_only(X3,X2) ) ) ) ) ) )
& ~ ? [X1] :
! [X2] :
( ( g_true_only(X2,X1)
& ! [X3] :
( g_false_only(X2,X3)
| g_false_only(X3,X2) ) )
| ( g_false_only(X2,X1)
& ? [X3] :
( g_true_only(X2,X3)
& g_true_only(X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nc3) ).
fof(false_only_g,axiom,
! [X4,X5] :
( g_false_only(X4,X5)
<=> ( g_false(X4,X5)
& ~ g_true(X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_only_g) ).
fof(true_only_g,axiom,
! [X4,X5] :
( g_true_only(X4,X5)
<=> ( g_true(X4,X5)
& ~ g_false(X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_only_g) ).
fof(both_g,axiom,
! [X4,X5] :
( g_both(X4,X5)
<=> ( g_true(X4,X5)
& g_false(X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',both_g) ).
fof(c_0_5,plain,
! [X1,X2] :
( epred1_2(X2,X1)
<=> ( ( g_true_only(X2,X1)
& ( ( ? [X3] :
( ( g_both(X2,X3)
| g_both(X3,X2) )
& ~ g_false_only(X2,X3)
& ~ g_false_only(X3,X2) )
& ~ ? [X3] :
( g_true_only(X2,X3)
& g_true_only(X3,X2) ) )
| ? [X3] :
( g_true_only(X2,X3)
& g_true_only(X3,X2) ) ) )
| ( g_both(X2,X1)
& ( ! [X3] :
( g_false_only(X2,X3)
| g_false_only(X3,X2) )
| ? [X3] :
( g_true_only(X2,X3)
& g_true_only(X3,X2) ) ) ) ) ),
introduced(definition) ).
fof(c_0_6,plain,
! [X32,X33,X35,X37,X39,X40,X41,X43,X45] :
( ( g_both(X33,X32)
| g_true_only(X33,X32)
| ~ epred1_2(X33,X32) )
& ( g_true_only(X33,esk12_2(X32,X33))
| g_false_only(X33,X37)
| g_false_only(X37,X33)
| g_true_only(X33,X32)
| ~ epred1_2(X33,X32) )
& ( g_true_only(esk12_2(X32,X33),X33)
| g_false_only(X33,X37)
| g_false_only(X37,X33)
| g_true_only(X33,X32)
| ~ epred1_2(X33,X32) )
& ( g_both(X33,X32)
| g_true_only(X33,esk11_2(X32,X33))
| g_both(X33,esk10_2(X32,X33))
| g_both(esk10_2(X32,X33),X33)
| ~ epred1_2(X33,X32) )
& ( g_true_only(X33,esk12_2(X32,X33))
| g_false_only(X33,X37)
| g_false_only(X37,X33)
| g_true_only(X33,esk11_2(X32,X33))
| g_both(X33,esk10_2(X32,X33))
| g_both(esk10_2(X32,X33),X33)
| ~ epred1_2(X33,X32) )
& ( g_true_only(esk12_2(X32,X33),X33)
| g_false_only(X33,X37)
| g_false_only(X37,X33)
| g_true_only(X33,esk11_2(X32,X33))
| g_both(X33,esk10_2(X32,X33))
| g_both(esk10_2(X32,X33),X33)
| ~ epred1_2(X33,X32) )
& ( g_both(X33,X32)
| g_true_only(esk11_2(X32,X33),X33)
| g_both(X33,esk10_2(X32,X33))
| g_both(esk10_2(X32,X33),X33)
| ~ epred1_2(X33,X32) )
& ( g_true_only(X33,esk12_2(X32,X33))
| g_false_only(X33,X37)
| g_false_only(X37,X33)
| g_true_only(esk11_2(X32,X33),X33)
| g_both(X33,esk10_2(X32,X33))
| g_both(esk10_2(X32,X33),X33)
| ~ epred1_2(X33,X32) )
& ( g_true_only(esk12_2(X32,X33),X33)
| g_false_only(X33,X37)
| g_false_only(X37,X33)
| g_true_only(esk11_2(X32,X33),X33)
| g_both(X33,esk10_2(X32,X33))
| g_both(esk10_2(X32,X33),X33)
| ~ epred1_2(X33,X32) )
& ( g_both(X33,X32)
| g_true_only(X33,esk11_2(X32,X33))
| ~ g_false_only(X33,esk10_2(X32,X33))
| ~ epred1_2(X33,X32) )
& ( g_true_only(X33,esk12_2(X32,X33))
| g_false_only(X33,X37)
| g_false_only(X37,X33)
| g_true_only(X33,esk11_2(X32,X33))
| ~ g_false_only(X33,esk10_2(X32,X33))
| ~ epred1_2(X33,X32) )
& ( g_true_only(esk12_2(X32,X33),X33)
| g_false_only(X33,X37)
| g_false_only(X37,X33)
| g_true_only(X33,esk11_2(X32,X33))
| ~ g_false_only(X33,esk10_2(X32,X33))
| ~ epred1_2(X33,X32) )
& ( g_both(X33,X32)
| g_true_only(esk11_2(X32,X33),X33)
| ~ g_false_only(X33,esk10_2(X32,X33))
| ~ epred1_2(X33,X32) )
& ( g_true_only(X33,esk12_2(X32,X33))
| g_false_only(X33,X37)
| g_false_only(X37,X33)
| g_true_only(esk11_2(X32,X33),X33)
| ~ g_false_only(X33,esk10_2(X32,X33))
| ~ epred1_2(X33,X32) )
& ( g_true_only(esk12_2(X32,X33),X33)
| g_false_only(X33,X37)
| g_false_only(X37,X33)
| g_true_only(esk11_2(X32,X33),X33)
| ~ g_false_only(X33,esk10_2(X32,X33))
| ~ epred1_2(X33,X32) )
& ( g_both(X33,X32)
| g_true_only(X33,esk11_2(X32,X33))
| ~ g_false_only(esk10_2(X32,X33),X33)
| ~ epred1_2(X33,X32) )
& ( g_true_only(X33,esk12_2(X32,X33))
| g_false_only(X33,X37)
| g_false_only(X37,X33)
| g_true_only(X33,esk11_2(X32,X33))
| ~ g_false_only(esk10_2(X32,X33),X33)
| ~ epred1_2(X33,X32) )
& ( g_true_only(esk12_2(X32,X33),X33)
| g_false_only(X33,X37)
| g_false_only(X37,X33)
| g_true_only(X33,esk11_2(X32,X33))
| ~ g_false_only(esk10_2(X32,X33),X33)
| ~ epred1_2(X33,X32) )
& ( g_both(X33,X32)
| g_true_only(esk11_2(X32,X33),X33)
| ~ g_false_only(esk10_2(X32,X33),X33)
| ~ epred1_2(X33,X32) )
& ( g_true_only(X33,esk12_2(X32,X33))
| g_false_only(X33,X37)
| g_false_only(X37,X33)
| g_true_only(esk11_2(X32,X33),X33)
| ~ g_false_only(esk10_2(X32,X33),X33)
| ~ epred1_2(X33,X32) )
& ( g_true_only(esk12_2(X32,X33),X33)
| g_false_only(X33,X37)
| g_false_only(X37,X33)
| g_true_only(esk11_2(X32,X33),X33)
| ~ g_false_only(esk10_2(X32,X33),X33)
| ~ epred1_2(X33,X32) )
& ( g_both(X33,X32)
| g_true_only(X33,esk11_2(X32,X33))
| ~ g_true_only(X33,X35)
| ~ g_true_only(X35,X33)
| ~ epred1_2(X33,X32) )
& ( g_true_only(X33,esk12_2(X32,X33))
| g_false_only(X33,X37)
| g_false_only(X37,X33)
| g_true_only(X33,esk11_2(X32,X33))
| ~ g_true_only(X33,X35)
| ~ g_true_only(X35,X33)
| ~ epred1_2(X33,X32) )
& ( g_true_only(esk12_2(X32,X33),X33)
| g_false_only(X33,X37)
| g_false_only(X37,X33)
| g_true_only(X33,esk11_2(X32,X33))
| ~ g_true_only(X33,X35)
| ~ g_true_only(X35,X33)
| ~ epred1_2(X33,X32) )
& ( g_both(X33,X32)
| g_true_only(esk11_2(X32,X33),X33)
| ~ g_true_only(X33,X35)
| ~ g_true_only(X35,X33)
| ~ epred1_2(X33,X32) )
& ( g_true_only(X33,esk12_2(X32,X33))
| g_false_only(X33,X37)
| g_false_only(X37,X33)
| g_true_only(esk11_2(X32,X33),X33)
| ~ g_true_only(X33,X35)
| ~ g_true_only(X35,X33)
| ~ epred1_2(X33,X32) )
& ( g_true_only(esk12_2(X32,X33),X33)
| g_false_only(X33,X37)
| g_false_only(X37,X33)
| g_true_only(esk11_2(X32,X33),X33)
| ~ g_true_only(X33,X35)
| ~ g_true_only(X35,X33)
| ~ epred1_2(X33,X32) )
& ( g_true_only(X40,esk13_2(X39,X40))
| ~ g_both(X40,X41)
| g_false_only(X40,X41)
| g_false_only(X41,X40)
| ~ g_true_only(X40,X39)
| epred1_2(X40,X39) )
& ( g_true_only(esk13_2(X39,X40),X40)
| ~ g_both(X40,X41)
| g_false_only(X40,X41)
| g_false_only(X41,X40)
| ~ g_true_only(X40,X39)
| epred1_2(X40,X39) )
& ( g_true_only(X40,esk13_2(X39,X40))
| ~ g_both(X41,X40)
| g_false_only(X40,X41)
| g_false_only(X41,X40)
| ~ g_true_only(X40,X39)
| epred1_2(X40,X39) )
& ( g_true_only(esk13_2(X39,X40),X40)
| ~ g_both(X41,X40)
| g_false_only(X40,X41)
| g_false_only(X41,X40)
| ~ g_true_only(X40,X39)
| epred1_2(X40,X39) )
& ( ~ g_true_only(X40,X43)
| ~ g_true_only(X43,X40)
| ~ g_true_only(X40,X39)
| epred1_2(X40,X39) )
& ( ~ g_false_only(X40,esk14_2(X39,X40))
| ~ g_both(X40,X39)
| epred1_2(X40,X39) )
& ( ~ g_false_only(esk14_2(X39,X40),X40)
| ~ g_both(X40,X39)
| epred1_2(X40,X39) )
& ( ~ g_true_only(X40,X45)
| ~ g_true_only(X45,X40)
| ~ g_both(X40,X39)
| epred1_2(X40,X39) ) ),
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_5])])])])])]) ).
fof(c_0_7,plain,
! [X30,X31] :
( g_true_only(X30,X31)
| g_both(X30,X31)
| g_false_only(X30,X31) ),
inference(variable_rename,[status(thm)],[exhaustion_g]) ).
cnf(c_0_8,plain,
( epred1_2(X1,X3)
| ~ g_true_only(X1,X2)
| ~ g_true_only(X2,X1)
| ~ g_true_only(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( g_true_only(X1,X2)
| g_both(X1,X2)
| g_false_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,negated_conjecture,
~ ( ! [X1] :
? [X2] :
( epred1_2(X2,X1)
| ( g_false_only(X2,X1)
& ( ! [X3] :
( g_false_only(X2,X3)
| g_false_only(X3,X2) )
| ( ? [X3] :
( ( g_both(X2,X3)
| g_both(X3,X2) )
& ~ g_false_only(X2,X3)
& ~ g_false_only(X3,X2) )
& ~ ? [X3] :
( g_true_only(X2,X3)
& g_true_only(X3,X2) ) ) ) ) )
| ( ? [X1] :
( ? [X2] :
( g_both(X2,X1)
& ? [X3] :
( ( g_both(X2,X3)
| g_both(X3,X2) )
& ~ g_false_only(X2,X3)
& ~ g_false_only(X3,X2) )
& ~ ? [X3] :
( g_true_only(X2,X3)
& g_true_only(X3,X2) ) )
& ~ ? [X2] :
( epred1_2(X2,X1)
| ( g_false_only(X2,X1)
& ( ! [X3] :
( g_false_only(X2,X3)
| g_false_only(X3,X2) )
| ( ? [X3] :
( ( g_both(X2,X3)
| g_both(X3,X2) )
& ~ g_false_only(X2,X3)
& ~ g_false_only(X3,X2) )
& ~ ? [X3] :
( g_true_only(X2,X3)
& g_true_only(X3,X2) ) ) ) ) ) )
& ~ ? [X1] :
! [X2] :
( ( g_true_only(X2,X1)
& ! [X3] :
( g_false_only(X2,X3)
| g_false_only(X3,X2) ) )
| ( g_false_only(X2,X1)
& ? [X3] :
( g_true_only(X2,X3)
& g_true_only(X3,X2) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[nc3])]),c_0_5]),c_0_5]) ).
cnf(c_0_11,plain,
( epred1_2(X1,X2)
| g_false_only(X3,X1)
| g_both(X3,X1)
| ~ g_true_only(X1,X2)
| ~ g_true_only(X1,X3) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
fof(c_0_12,negated_conjecture,
! [X7,X9,X11,X12,X13,X17,X19,X21,X22] :
( ~ epred1_2(X7,esk1_0)
& ( ~ g_false_only(X7,esk2_1(X7))
| ~ g_false_only(X7,esk1_0) )
& ( ~ g_false_only(esk2_1(X7),X7)
| ~ g_false_only(X7,esk1_0) )
& ( g_true_only(X7,esk3_1(X7))
| ~ g_both(X7,X9)
| g_false_only(X7,X9)
| g_false_only(X9,X7)
| ~ g_false_only(X7,esk1_0) )
& ( g_true_only(esk3_1(X7),X7)
| ~ g_both(X7,X9)
| g_false_only(X7,X9)
| g_false_only(X9,X7)
| ~ g_false_only(X7,esk1_0) )
& ( g_true_only(X7,esk3_1(X7))
| ~ g_both(X9,X7)
| g_false_only(X7,X9)
| g_false_only(X9,X7)
| ~ g_false_only(X7,esk1_0) )
& ( g_true_only(esk3_1(X7),X7)
| ~ g_both(X9,X7)
| g_false_only(X7,X9)
| g_false_only(X9,X7)
| ~ g_false_only(X7,esk1_0) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X12,X13)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(X12,esk4_2(X11,X12))
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_false_only(esk6_1(X11),X11)
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| g_both(esk6_1(X11),esk7_1(X11))
| g_both(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk6_1(X11),esk7_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_false_only(esk7_1(X11),esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_true_only(X21,esk8_0)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_true_only(X21,esk8_0)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_true_only(X21,esk8_0)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_false_only(X21,esk8_0)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(X21,esk9_1(X21))
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) )
& ( g_true_only(esk9_1(X21),X21)
| g_false_only(X21,X22)
| g_false_only(X22,X21)
| ~ g_true_only(esk6_1(X11),X19)
| ~ g_true_only(X19,esk6_1(X11))
| g_false_only(esk6_1(X11),X17)
| g_false_only(X17,esk6_1(X11))
| epred1_2(esk5_1(X11),X11)
| g_true_only(esk4_2(X11,X12),X12)
| ~ g_both(X13,X12)
| g_false_only(X12,X13)
| g_false_only(X13,X12)
| ~ g_both(X12,X11) ) ),
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_10])])])])])]) ).
cnf(c_0_13,plain,
( epred1_2(X1,X2)
| g_false_only(X1,X2)
| g_false_only(X3,X1)
| g_both(X1,X2)
| g_both(X3,X1)
| ~ g_true_only(X1,X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
~ epred1_2(X1,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,plain,
( epred1_2(X1,X2)
| g_false_only(X1,X3)
| g_false_only(X3,X1)
| g_false_only(X1,X2)
| g_both(X1,X3)
| g_both(X3,X1)
| g_both(X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_9]) ).
fof(c_0_16,plain,
! [X4,X5] :
( g_false_only(X4,X5)
<=> ( g_false(X4,X5)
& ~ g_true(X4,X5) ) ),
inference(fof_simplification,[status(thm)],[false_only_g]) ).
cnf(c_0_17,negated_conjecture,
( g_false_only(X1,esk1_0)
| g_false_only(X2,X1)
| g_false_only(X1,X2)
| g_both(X1,esk1_0)
| g_both(X2,X1)
| g_both(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_18,plain,
! [X4,X5] :
( g_true_only(X4,X5)
<=> ( g_true(X4,X5)
& ~ g_false(X4,X5) ) ),
inference(fof_simplification,[status(thm)],[true_only_g]) ).
fof(c_0_19,plain,
! [X28,X29] :
( ( g_false(X28,X29)
| ~ g_false_only(X28,X29) )
& ( ~ g_true(X28,X29)
| ~ g_false_only(X28,X29) )
& ( ~ g_false(X28,X29)
| g_true(X28,X29)
| g_false_only(X28,X29) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_20,plain,
! [X26,X27] :
( ( g_true(X26,X27)
| ~ g_both(X26,X27) )
& ( g_false(X26,X27)
| ~ g_both(X26,X27) )
& ( ~ g_true(X26,X27)
| ~ g_false(X26,X27)
| g_both(X26,X27) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[both_g])])]) ).
cnf(c_0_21,negated_conjecture,
( ~ g_false_only(esk2_1(X1),X1)
| ~ g_false_only(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,negated_conjecture,
( g_false_only(esk1_0,esk1_0)
| g_both(esk1_0,esk1_0) ),
inference(ef,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( ~ g_false_only(X1,esk2_1(X1))
| ~ g_false_only(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_24,plain,
! [X24,X25] :
( ( g_true(X24,X25)
| ~ g_true_only(X24,X25) )
& ( ~ g_false(X24,X25)
| ~ g_true_only(X24,X25) )
& ( ~ g_true(X24,X25)
| g_false(X24,X25)
| g_true_only(X24,X25) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
cnf(c_0_25,plain,
( g_false(X1,X2)
| ~ g_false_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
( g_false_only(X1,esk1_0)
| g_false_only(esk1_0,X1)
| g_both(esk1_0,X1)
| g_both(X1,esk1_0) ),
inference(ef,[status(thm)],[c_0_17]) ).
cnf(c_0_27,plain,
( g_false(X1,X2)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,negated_conjecture,
( g_both(esk1_0,esk1_0)
| ~ g_false_only(esk2_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,negated_conjecture,
( g_both(esk1_0,esk1_0)
| ~ g_false_only(esk1_0,esk2_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_30,plain,
( ~ g_false(X1,X2)
| ~ g_true_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,negated_conjecture,
( g_false(esk1_0,X1)
| g_false_only(X1,esk1_0)
| g_both(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_32,negated_conjecture,
( g_true_only(X1,esk3_1(X1))
| g_false_only(X1,X2)
| g_false_only(X2,X1)
| ~ g_both(X2,X1)
| ~ g_false_only(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_33,negated_conjecture,
( g_both(esk2_1(esk1_0),esk1_0)
| g_both(esk1_0,esk2_1(esk1_0))
| g_both(esk1_0,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_26]),c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( g_true_only(esk3_1(X1),X1)
| g_false_only(X1,X2)
| g_false_only(X2,X1)
| ~ g_both(X2,X1)
| ~ g_false_only(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_35,negated_conjecture,
( g_false_only(X1,esk1_0)
| g_both(X1,esk1_0)
| ~ g_true_only(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
( g_both(esk1_0,esk2_1(esk1_0))
| g_both(esk1_0,esk1_0)
| g_true_only(esk1_0,esk3_1(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_22]),c_0_28]),c_0_29]) ).
cnf(c_0_37,plain,
( g_true(X1,X2)
| ~ g_true_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_38,negated_conjecture,
( g_both(esk1_0,esk2_1(esk1_0))
| g_both(esk1_0,esk1_0)
| g_true_only(esk3_1(esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_33]),c_0_22]),c_0_28]),c_0_29]) ).
cnf(c_0_39,plain,
( ~ g_true(X1,X2)
| ~ g_false_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_40,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk1_0)
| g_both(esk1_0,esk2_1(esk1_0))
| g_both(esk3_1(esk1_0),esk1_0)
| g_both(esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,negated_conjecture,
( g_true(esk3_1(esk1_0),esk1_0)
| g_both(esk1_0,esk2_1(esk1_0))
| g_both(esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,plain,
( epred1_2(X1,X3)
| ~ g_true_only(X1,X2)
| ~ g_true_only(X2,X1)
| ~ g_both(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_43,negated_conjecture,
( g_both(esk3_1(esk1_0),esk1_0)
| g_both(esk1_0,esk2_1(esk1_0))
| g_both(esk1_0,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_44,plain,
( g_both(esk1_0,esk2_1(esk1_0))
| g_both(esk1_0,esk1_0)
| ~ g_true_only(X1,esk3_1(esk1_0))
| ~ g_true_only(esk3_1(esk1_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_14]) ).
cnf(c_0_45,negated_conjecture,
( g_true_only(X1,esk3_1(X1))
| g_false_only(X1,X2)
| g_false_only(X2,X1)
| ~ g_both(X1,X2)
| ~ g_false_only(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_46,negated_conjecture,
( g_both(esk1_0,esk2_1(esk1_0))
| g_both(esk1_0,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_36]),c_0_38]) ).
cnf(c_0_47,negated_conjecture,
( g_both(esk1_0,esk1_0)
| g_true_only(esk1_0,esk3_1(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_22]),c_0_28]),c_0_29]) ).
cnf(c_0_48,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk1_0)
| g_both(esk3_1(esk1_0),esk1_0)
| g_both(esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_47]) ).
cnf(c_0_49,negated_conjecture,
( g_false(esk3_1(esk1_0),esk1_0)
| g_both(esk1_0,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_48]),c_0_27]) ).
cnf(c_0_50,negated_conjecture,
( g_true_only(esk3_1(X1),X1)
| g_false_only(X1,X2)
| g_false_only(X2,X1)
| ~ g_both(X1,X2)
| ~ g_false_only(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_51,negated_conjecture,
( g_both(esk1_0,esk1_0)
| ~ g_true_only(esk3_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_49]) ).
cnf(c_0_52,plain,
( epred1_2(X2,X1)
| ~ g_false_only(esk14_2(X1,X2),X2)
| ~ g_both(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_53,negated_conjecture,
g_both(esk1_0,esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_46]),c_0_22]),c_0_51]),c_0_28]),c_0_29]) ).
cnf(c_0_54,plain,
( epred1_2(X1,X2)
| ~ g_false_only(X1,esk14_2(X2,X1))
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_55,plain,
~ g_false_only(esk14_2(esk1_0,esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_14]) ).
cnf(c_0_56,plain,
~ g_false_only(esk1_0,esk14_2(esk1_0,esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_53]),c_0_14]) ).
cnf(c_0_57,negated_conjecture,
( g_true_only(X1,esk9_1(X1))
| g_true_only(X1,esk8_0)
| g_false_only(esk6_1(X2),X2)
| epred1_2(esk5_1(X2),X2)
| g_true_only(esk4_2(X2,X3),X3)
| g_false_only(X3,X4)
| g_false_only(X4,X3)
| ~ g_both(X4,X3)
| ~ g_both(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_58,negated_conjecture,
( g_both(esk14_2(esk1_0,esk1_0),esk1_0)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_26]),c_0_56]) ).
cnf(c_0_59,negated_conjecture,
( g_true_only(X1,esk9_1(X1))
| g_true_only(X1,esk8_0)
| g_false_only(esk6_1(X2),X2)
| epred1_2(esk5_1(X2),X2)
| g_true_only(X3,esk4_2(X2,X3))
| g_false_only(X3,X4)
| g_false_only(X4,X3)
| ~ g_both(X4,X3)
| ~ g_both(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_60,negated_conjecture,
( g_true_only(X1,esk9_1(X1))
| g_true_only(X1,esk8_0)
| g_false_only(esk6_1(X2),X2)
| epred1_2(esk5_1(X2),X2)
| g_true_only(esk4_2(X2,X3),X3)
| g_false_only(X3,X4)
| g_false_only(X4,X3)
| ~ g_both(X3,X4)
| ~ g_both(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_61,negated_conjecture,
( g_true_only(X1,esk9_1(X1))
| g_true_only(X1,esk8_0)
| g_false_only(esk6_1(X2),X2)
| epred1_2(esk5_1(X2),X2)
| g_true_only(X3,esk4_2(X2,X3))
| g_false_only(X3,X4)
| g_false_only(X4,X3)
| ~ g_both(X3,X4)
| ~ g_both(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_62,negated_conjecture,
( g_true_only(esk9_1(X1),X1)
| g_true_only(X1,esk8_0)
| g_false_only(esk6_1(X2),X2)
| epred1_2(esk5_1(X2),X2)
| g_true_only(esk4_2(X2,X3),X3)
| g_false_only(X3,X4)
| g_false_only(X4,X3)
| ~ g_both(X4,X3)
| ~ g_both(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_63,negated_conjecture,
( g_true_only(esk9_1(X1),X1)
| g_true_only(X1,esk8_0)
| g_false_only(esk6_1(X2),X2)
| epred1_2(esk5_1(X2),X2)
| g_true_only(X3,esk4_2(X2,X3))
| g_false_only(X3,X4)
| g_false_only(X4,X3)
| ~ g_both(X4,X3)
| ~ g_both(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_64,negated_conjecture,
( g_true_only(esk9_1(X1),X1)
| g_true_only(X1,esk8_0)
| g_false_only(esk6_1(X2),X2)
| epred1_2(esk5_1(X2),X2)
| g_true_only(esk4_2(X2,X3),X3)
| g_false_only(X3,X4)
| g_false_only(X4,X3)
| ~ g_both(X3,X4)
| ~ g_both(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_65,negated_conjecture,
( g_true_only(esk9_1(X1),X1)
| g_true_only(X1,esk8_0)
| g_false_only(esk6_1(X2),X2)
| epred1_2(esk5_1(X2),X2)
| g_true_only(X3,esk4_2(X2,X3))
| g_false_only(X3,X4)
| g_false_only(X4,X3)
| ~ g_both(X3,X4)
| ~ g_both(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_66,negated_conjecture,
( epred1_2(esk5_1(X1),X1)
| g_false_only(esk6_1(X1),X1)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| g_true_only(esk4_2(X1,esk1_0),esk1_0)
| g_true_only(X2,esk9_1(X2))
| g_true_only(X2,esk8_0)
| ~ g_both(esk1_0,X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_56]),c_0_55]) ).
cnf(c_0_67,negated_conjecture,
( epred1_2(esk5_1(X1),X1)
| g_false_only(esk6_1(X1),X1)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| g_true_only(esk1_0,esk4_2(X1,esk1_0))
| g_true_only(X2,esk9_1(X2))
| g_true_only(X2,esk8_0)
| ~ g_both(esk1_0,X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_58]),c_0_56]),c_0_55]) ).
cnf(c_0_68,negated_conjecture,
( epred1_2(esk5_1(X1),X1)
| g_false_only(esk1_0,esk1_0)
| g_false_only(esk6_1(X1),X1)
| g_true_only(esk4_2(X1,esk1_0),esk1_0)
| g_true_only(X2,esk9_1(X2))
| g_true_only(X2,esk8_0)
| ~ g_both(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_53]) ).
cnf(c_0_69,negated_conjecture,
( epred1_2(esk5_1(X1),X1)
| g_false_only(esk1_0,esk1_0)
| g_false_only(esk6_1(X1),X1)
| g_true_only(esk1_0,esk4_2(X1,esk1_0))
| g_true_only(X2,esk9_1(X2))
| g_true_only(X2,esk8_0)
| ~ g_both(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_53]) ).
cnf(c_0_70,negated_conjecture,
( epred1_2(esk5_1(X1),X1)
| g_false_only(esk6_1(X1),X1)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| g_true_only(esk4_2(X1,esk1_0),esk1_0)
| g_true_only(esk9_1(X2),X2)
| g_true_only(X2,esk8_0)
| ~ g_both(esk1_0,X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_58]),c_0_56]),c_0_55]) ).
cnf(c_0_71,negated_conjecture,
( epred1_2(esk5_1(X1),X1)
| g_false_only(esk6_1(X1),X1)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| g_true_only(esk1_0,esk4_2(X1,esk1_0))
| g_true_only(esk9_1(X2),X2)
| g_true_only(X2,esk8_0)
| ~ g_both(esk1_0,X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_58]),c_0_56]),c_0_55]) ).
cnf(c_0_72,negated_conjecture,
( epred1_2(esk5_1(X1),X1)
| g_false_only(esk1_0,esk1_0)
| g_false_only(esk6_1(X1),X1)
| g_true_only(esk4_2(X1,esk1_0),esk1_0)
| g_true_only(esk9_1(X2),X2)
| g_true_only(X2,esk8_0)
| ~ g_both(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_53]) ).
cnf(c_0_73,negated_conjecture,
( epred1_2(esk5_1(X1),X1)
| g_false_only(esk1_0,esk1_0)
| g_false_only(esk6_1(X1),X1)
| g_true_only(esk1_0,esk4_2(X1,esk1_0))
| g_true_only(esk9_1(X2),X2)
| g_true_only(X2,esk8_0)
| ~ g_both(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_53]) ).
cnf(c_0_74,plain,
( ~ g_true_only(X1,esk1_0)
| ~ g_true_only(esk1_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_53]),c_0_14]) ).
cnf(c_0_75,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| g_true_only(esk4_2(esk1_0,esk1_0),esk1_0)
| g_true_only(X1,esk9_1(X1))
| g_true_only(X1,esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_53]),c_0_14]) ).
cnf(c_0_76,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0))
| g_true_only(X1,esk9_1(X1))
| g_true_only(X1,esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_53]),c_0_14]) ).
cnf(c_0_77,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(esk1_0,esk1_0)
| g_true_only(esk4_2(esk1_0,esk1_0),esk1_0)
| g_true_only(X1,esk9_1(X1))
| g_true_only(X1,esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_53]),c_0_14]) ).
cnf(c_0_78,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(esk1_0,esk1_0)
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0))
| g_true_only(X1,esk9_1(X1))
| g_true_only(X1,esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_53]),c_0_14]) ).
cnf(c_0_79,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| g_true_only(esk4_2(esk1_0,esk1_0),esk1_0)
| g_true_only(esk9_1(X1),X1)
| g_true_only(X1,esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_53]),c_0_14]) ).
cnf(c_0_80,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0))
| g_true_only(esk9_1(X1),X1)
| g_true_only(X1,esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_53]),c_0_14]) ).
cnf(c_0_81,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(esk1_0,esk1_0)
| g_true_only(esk4_2(esk1_0,esk1_0),esk1_0)
| g_true_only(esk9_1(X1),X1)
| g_true_only(X1,esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_53]),c_0_14]) ).
cnf(c_0_82,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(esk1_0,esk1_0)
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0))
| g_true_only(esk9_1(X1),X1)
| g_true_only(X1,esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_53]),c_0_14]) ).
cnf(c_0_83,plain,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| g_true_only(X1,esk9_1(X1))
| g_true_only(X1,esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_84,plain,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(esk1_0,esk1_0)
| g_true_only(X1,esk9_1(X1))
| g_true_only(X1,esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_77]),c_0_78]) ).
cnf(c_0_85,plain,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| g_true_only(esk9_1(X1),X1)
| g_true_only(X1,esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_79]),c_0_80]) ).
cnf(c_0_86,plain,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(esk1_0,esk1_0)
| g_true_only(esk9_1(X1),X1)
| g_true_only(X1,esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_81]),c_0_82]) ).
cnf(c_0_87,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_true_only(esk3_1(esk1_0),esk1_0)
| g_true_only(X1,esk9_1(X1))
| g_true_only(X1,esk8_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_83]),c_0_56]),c_0_55]),c_0_84]) ).
cnf(c_0_88,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_true_only(esk1_0,esk3_1(esk1_0))
| g_true_only(X1,esk9_1(X1))
| g_true_only(X1,esk8_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_83]),c_0_56]),c_0_55]),c_0_84]) ).
cnf(c_0_89,negated_conjecture,
( g_false_only(X1,esk8_0)
| g_false_only(X1,X2)
| g_false_only(X2,X1)
| g_false_only(esk6_1(X3),X3)
| epred1_2(esk5_1(X3),X3)
| g_true_only(X4,esk4_2(X3,X4))
| g_false_only(X4,X5)
| g_false_only(X5,X4)
| ~ g_both(X5,X4)
| ~ g_both(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_90,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_true_only(esk3_1(esk1_0),esk1_0)
| g_true_only(esk9_1(X1),X1)
| g_true_only(X1,esk8_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_85]),c_0_56]),c_0_55]),c_0_86]) ).
cnf(c_0_91,plain,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_true_only(X1,esk9_1(X1))
| g_true_only(X1,esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_87]),c_0_88]) ).
cnf(c_0_92,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_true_only(esk1_0,esk3_1(esk1_0))
| g_true_only(esk9_1(X1),X1)
| g_true_only(X1,esk8_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_85]),c_0_56]),c_0_55]),c_0_86]) ).
cnf(c_0_93,negated_conjecture,
( epred1_2(esk5_1(X1),X1)
| g_false_only(esk6_1(X1),X1)
| g_false_only(X2,esk8_0)
| g_false_only(X3,X2)
| g_false_only(X2,X3)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| g_true_only(esk1_0,esk4_2(X1,esk1_0))
| ~ g_both(esk1_0,X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_58]),c_0_56]),c_0_55]) ).
cnf(c_0_94,plain,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_true_only(esk3_1(esk1_0),esk1_0)
| g_true_only(esk1_0,esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_90]),c_0_91]) ).
cnf(c_0_95,plain,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_true_only(esk1_0,esk3_1(esk1_0))
| g_true_only(esk1_0,esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_92]),c_0_91]) ).
cnf(c_0_96,negated_conjecture,
( g_false_only(X1,esk8_0)
| g_false_only(X1,X2)
| g_false_only(X2,X1)
| g_false_only(esk6_1(X3),X3)
| epred1_2(esk5_1(X3),X3)
| g_true_only(X4,esk4_2(X3,X4))
| g_false_only(X4,X5)
| g_false_only(X5,X4)
| ~ g_both(X4,X5)
| ~ g_both(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_97,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(X1,esk8_0)
| g_false_only(X1,X2)
| g_false_only(X2,X1)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_53]),c_0_14]) ).
cnf(c_0_98,plain,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_true_only(esk1_0,esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_94]),c_0_95]) ).
cnf(c_0_99,negated_conjecture,
( epred1_2(esk5_1(X1),X1)
| g_false_only(esk1_0,esk1_0)
| g_false_only(esk6_1(X1),X1)
| g_false_only(X2,esk8_0)
| g_false_only(X3,X2)
| g_false_only(X2,X3)
| g_true_only(esk1_0,esk4_2(X1,esk1_0))
| ~ g_both(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_53]) ).
cnf(c_0_100,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(X1,X2)
| g_false_only(X2,X1)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0))
| ~ g_true(X2,esk8_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_97]) ).
cnf(c_0_101,plain,
( g_true(esk1_0,esk8_0)
| g_false_only(esk6_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(esk1_0,esk1_0)
| g_false_only(X1,esk8_0)
| g_false_only(X1,X2)
| g_false_only(X2,X1)
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_53]),c_0_14]) ).
cnf(c_0_103,plain,
( epred1_2(X1,X2)
| g_false(X3,X1)
| g_false_only(X1,X2)
| g_false_only(X1,X3)
| g_both(X1,X2)
| g_both(X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_15]),c_0_27]) ).
cnf(c_0_104,plain,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(esk1_0,X1)
| g_false_only(X1,esk1_0)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_105,plain,
( g_true(X1,X2)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_106,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(esk1_0,esk1_0)
| g_false_only(X1,esk8_0)
| g_false_only(X1,X1)
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0)) ),
inference(ef,[status(thm)],[c_0_102]) ).
cnf(c_0_107,negated_conjecture,
( g_false(X1,X2)
| g_false_only(X2,esk1_0)
| g_false_only(X2,X1)
| g_both(X2,esk1_0)
| g_both(X2,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_103]) ).
cnf(c_0_108,plain,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(esk1_0,X1)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0))
| ~ g_true(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_104]) ).
cnf(c_0_109,negated_conjecture,
( g_true(esk14_2(esk1_0,esk1_0),esk1_0)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_105,c_0_58]) ).
cnf(c_0_110,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(esk1_0,esk1_0)
| g_false_only(X1,X1)
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0))
| ~ g_true(X1,esk8_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_106]) ).
cnf(c_0_111,negated_conjecture,
( g_false_only(X1,esk1_0)
| g_false_only(X1,X2)
| g_both(X1,esk1_0)
| g_both(X1,X2)
| ~ g_true_only(X2,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_107]) ).
cnf(c_0_112,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_56]) ).
cnf(c_0_113,plain,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(esk1_0,esk1_0)
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_110,c_0_101]) ).
cnf(c_0_114,negated_conjecture,
( g_false_only(esk4_2(esk1_0,esk1_0),esk1_0)
| g_false_only(esk6_1(esk1_0),esk1_0)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| g_both(esk4_2(esk1_0,esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_115,negated_conjecture,
( g_false_only(esk4_2(esk1_0,esk1_0),esk1_0)
| g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(esk1_0,esk1_0)
| g_both(esk4_2(esk1_0,esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_111,c_0_113]) ).
cnf(c_0_116,negated_conjecture,
( g_false_only(X1,esk8_0)
| g_false_only(X1,X2)
| g_false_only(X2,X1)
| g_false_only(esk6_1(X3),X3)
| epred1_2(esk5_1(X3),X3)
| g_true_only(esk4_2(X3,X4),X4)
| g_false_only(X4,X5)
| g_false_only(X5,X4)
| ~ g_both(X5,X4)
| ~ g_both(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_117,negated_conjecture,
( g_false(esk4_2(esk1_0,esk1_0),esk1_0)
| g_false_only(esk6_1(esk1_0),esk1_0)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_114]),c_0_27]) ).
cnf(c_0_118,negated_conjecture,
( g_false_only(X1,esk8_0)
| g_false_only(X1,X2)
| g_false_only(X2,X1)
| g_false_only(esk6_1(X3),X3)
| epred1_2(esk5_1(X3),X3)
| g_true_only(esk4_2(X3,X4),X4)
| g_false_only(X4,X5)
| g_false_only(X5,X4)
| ~ g_both(X4,X5)
| ~ g_both(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_119,negated_conjecture,
( g_false(esk4_2(esk1_0,esk1_0),esk1_0)
| g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(esk1_0,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_115]),c_0_27]) ).
cnf(c_0_120,negated_conjecture,
( epred1_2(esk5_1(X1),X1)
| g_false_only(esk6_1(X1),X1)
| g_false_only(X2,esk8_0)
| g_false_only(X3,X2)
| g_false_only(X2,X3)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| g_true_only(esk4_2(X1,esk1_0),esk1_0)
| ~ g_both(esk1_0,X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_58]),c_0_56]),c_0_55]) ).
cnf(c_0_121,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| ~ g_true_only(esk4_2(esk1_0,esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_117]) ).
cnf(c_0_122,negated_conjecture,
( epred1_2(esk5_1(X1),X1)
| g_false_only(esk1_0,esk1_0)
| g_false_only(esk6_1(X1),X1)
| g_false_only(X2,esk8_0)
| g_false_only(X3,X2)
| g_false_only(X2,X3)
| g_true_only(esk4_2(X1,esk1_0),esk1_0)
| ~ g_both(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_53]) ).
cnf(c_0_123,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(esk1_0,esk1_0)
| ~ g_true_only(esk4_2(esk1_0,esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_119]) ).
cnf(c_0_124,negated_conjecture,
( g_false_only(X1,esk8_0)
| g_false_only(X1,X2)
| g_false_only(X2,X1)
| g_false_only(esk6_1(X3),X5)
| g_false_only(X5,esk6_1(X3))
| epred1_2(esk5_1(X3),X3)
| g_true_only(esk4_2(X3,X6),X6)
| g_false_only(X6,X7)
| g_false_only(X7,X6)
| ~ g_true_only(esk6_1(X3),X4)
| ~ g_true_only(X4,esk6_1(X3))
| ~ g_both(X7,X6)
| ~ g_both(X6,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_125,negated_conjecture,
( g_false_only(X1,esk8_0)
| g_false_only(X1,X2)
| g_false_only(X2,X1)
| g_false_only(esk6_1(X3),X5)
| g_false_only(X5,esk6_1(X3))
| epred1_2(esk5_1(X3),X3)
| g_true_only(X6,esk4_2(X3,X6))
| g_false_only(X6,X7)
| g_false_only(X7,X6)
| ~ g_true_only(esk6_1(X3),X4)
| ~ g_true_only(X4,esk6_1(X3))
| ~ g_both(X7,X6)
| ~ g_both(X6,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_126,negated_conjecture,
( g_true_only(X1,esk9_1(X1))
| g_true_only(X1,esk8_0)
| g_false_only(esk6_1(X2),X4)
| g_false_only(X4,esk6_1(X2))
| epred1_2(esk5_1(X2),X2)
| g_true_only(X5,esk4_2(X2,X5))
| g_false_only(X5,X6)
| g_false_only(X6,X5)
| ~ g_true_only(esk6_1(X2),X3)
| ~ g_true_only(X3,esk6_1(X2))
| ~ g_both(X6,X5)
| ~ g_both(X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_127,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(X1,esk8_0)
| g_false_only(X1,X2)
| g_false_only(X2,X1)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_53]),c_0_14]),c_0_121]) ).
cnf(c_0_128,plain,
( g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| ~ g_true_only(X1,esk14_2(esk1_0,esk1_0))
| ~ g_true_only(esk14_2(esk1_0,esk1_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_58]),c_0_14]) ).
cnf(c_0_129,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(esk1_0,esk1_0)
| g_false_only(X1,esk8_0)
| g_false_only(X1,X2)
| g_false_only(X2,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_53]),c_0_14]),c_0_123]) ).
cnf(c_0_130,negated_conjecture,
( epred1_2(esk5_1(X1),X1)
| g_false_only(esk1_0,esk1_0)
| g_false_only(X2,esk6_1(X1))
| g_false_only(esk6_1(X1),X2)
| g_false_only(X3,esk8_0)
| g_false_only(X4,X3)
| g_false_only(X3,X4)
| g_true_only(esk4_2(X1,esk1_0),esk1_0)
| ~ g_both(esk1_0,X1)
| ~ g_true_only(X5,esk6_1(X1))
| ~ g_true_only(esk6_1(X1),X5) ),
inference(spm,[status(thm)],[c_0_124,c_0_53]) ).
cnf(c_0_131,negated_conjecture,
( epred1_2(esk5_1(X1),X1)
| g_false_only(esk1_0,esk1_0)
| g_false_only(X2,esk6_1(X1))
| g_false_only(esk6_1(X1),X2)
| g_false_only(X3,esk8_0)
| g_false_only(X4,X3)
| g_false_only(X3,X4)
| g_true_only(esk1_0,esk4_2(X1,esk1_0))
| ~ g_both(esk1_0,X1)
| ~ g_true_only(X5,esk6_1(X1))
| ~ g_true_only(esk6_1(X1),X5) ),
inference(spm,[status(thm)],[c_0_125,c_0_53]) ).
cnf(c_0_132,negated_conjecture,
( g_true_only(esk9_1(X1),X1)
| g_true_only(X1,esk8_0)
| g_false_only(esk6_1(X2),X4)
| g_false_only(X4,esk6_1(X2))
| epred1_2(esk5_1(X2),X2)
| g_true_only(esk4_2(X2,X5),X5)
| g_false_only(X5,X6)
| g_false_only(X6,X5)
| ~ g_true_only(esk6_1(X2),X3)
| ~ g_true_only(X3,esk6_1(X2))
| ~ g_both(X6,X5)
| ~ g_both(X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_133,negated_conjecture,
( g_true_only(esk9_1(X1),X1)
| g_true_only(X1,esk8_0)
| g_false_only(esk6_1(X2),X4)
| g_false_only(X4,esk6_1(X2))
| epred1_2(esk5_1(X2),X2)
| g_true_only(X5,esk4_2(X2,X5))
| g_false_only(X5,X6)
| g_false_only(X6,X5)
| ~ g_true_only(esk6_1(X2),X3)
| ~ g_true_only(X3,esk6_1(X2))
| ~ g_both(X6,X5)
| ~ g_both(X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_134,negated_conjecture,
( g_true_only(X1,esk9_1(X1))
| g_true_only(X1,esk8_0)
| g_false_only(esk6_1(X2),X4)
| g_false_only(X4,esk6_1(X2))
| epred1_2(esk5_1(X2),X2)
| g_true_only(esk4_2(X2,X5),X5)
| g_false_only(X5,X6)
| g_false_only(X6,X5)
| ~ g_true_only(esk6_1(X2),X3)
| ~ g_true_only(X3,esk6_1(X2))
| ~ g_both(X6,X5)
| ~ g_both(X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_135,negated_conjecture,
( epred1_2(esk5_1(X1),X1)
| g_false_only(esk1_0,esk1_0)
| g_false_only(X2,esk6_1(X1))
| g_false_only(esk6_1(X1),X2)
| g_true_only(esk1_0,esk4_2(X1,esk1_0))
| g_true_only(X3,esk9_1(X3))
| g_true_only(X3,esk8_0)
| ~ g_both(esk1_0,X1)
| ~ g_true_only(X4,esk6_1(X1))
| ~ g_true_only(esk6_1(X1),X4) ),
inference(spm,[status(thm)],[c_0_126,c_0_53]) ).
cnf(c_0_136,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(X1,esk8_0)
| g_false_only(X2,X1)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| ~ g_true(X1,X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_127]) ).
cnf(c_0_137,plain,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0))
| g_true_only(esk14_2(esk1_0,esk1_0),esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_85]),c_0_91]) ).
cnf(c_0_138,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(esk1_0,esk1_0)
| g_false_only(X1,esk8_0)
| g_false_only(X1,X1) ),
inference(ef,[status(thm)],[c_0_129]) ).
cnf(c_0_139,negated_conjecture,
( g_false_only(esk6_1(esk1_0),X1)
| g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_false_only(X2,esk8_0)
| g_false_only(X2,X3)
| g_false_only(X3,X2)
| g_true_only(esk4_2(esk1_0,esk1_0),esk1_0)
| ~ g_true_only(X4,esk6_1(esk1_0))
| ~ g_true_only(esk6_1(esk1_0),X4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_53]),c_0_14]) ).
cnf(c_0_140,negated_conjecture,
( g_false_only(esk6_1(esk1_0),X1)
| g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_false_only(X2,esk8_0)
| g_false_only(X2,X3)
| g_false_only(X3,X2)
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0))
| ~ g_true_only(X4,esk6_1(esk1_0))
| ~ g_true_only(esk6_1(esk1_0),X4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_53]),c_0_14]) ).
cnf(c_0_141,negated_conjecture,
( epred1_2(esk5_1(X1),X1)
| g_false_only(esk1_0,esk1_0)
| g_false_only(X2,esk6_1(X1))
| g_false_only(esk6_1(X1),X2)
| g_true_only(esk4_2(X1,esk1_0),esk1_0)
| g_true_only(esk9_1(X3),X3)
| g_true_only(X3,esk8_0)
| ~ g_both(esk1_0,X1)
| ~ g_true_only(X4,esk6_1(X1))
| ~ g_true_only(esk6_1(X1),X4) ),
inference(spm,[status(thm)],[c_0_132,c_0_53]) ).
cnf(c_0_142,negated_conjecture,
( epred1_2(esk5_1(X1),X1)
| g_false_only(esk1_0,esk1_0)
| g_false_only(X2,esk6_1(X1))
| g_false_only(esk6_1(X1),X2)
| g_true_only(esk1_0,esk4_2(X1,esk1_0))
| g_true_only(esk9_1(X3),X3)
| g_true_only(X3,esk8_0)
| ~ g_both(esk1_0,X1)
| ~ g_true_only(X4,esk6_1(X1))
| ~ g_true_only(esk6_1(X1),X4) ),
inference(spm,[status(thm)],[c_0_133,c_0_53]) ).
cnf(c_0_143,negated_conjecture,
( epred1_2(esk5_1(X1),X1)
| g_false_only(esk1_0,esk1_0)
| g_false_only(X2,esk6_1(X1))
| g_false_only(esk6_1(X1),X2)
| g_true_only(esk4_2(X1,esk1_0),esk1_0)
| g_true_only(X3,esk9_1(X3))
| g_true_only(X3,esk8_0)
| ~ g_both(esk1_0,X1)
| ~ g_true_only(X4,esk6_1(X1))
| ~ g_true_only(esk6_1(X1),X4) ),
inference(spm,[status(thm)],[c_0_134,c_0_53]) ).
cnf(c_0_144,negated_conjecture,
( g_false_only(esk6_1(esk1_0),X1)
| g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0))
| g_true_only(X2,esk9_1(X2))
| g_true_only(X2,esk8_0)
| ~ g_true_only(X3,esk6_1(esk1_0))
| ~ g_true_only(esk6_1(esk1_0),X3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_53]),c_0_14]) ).
cnf(c_0_145,negated_conjecture,
( g_false_only(esk14_2(esk1_0,esk1_0),esk8_0)
| g_false_only(esk6_1(esk1_0),esk1_0)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_109]),c_0_56]) ).
cnf(c_0_146,plain,
( g_true(esk14_2(esk1_0,esk1_0),esk8_0)
| g_false_only(esk6_1(esk1_0),esk1_0)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_37,c_0_137]) ).
cnf(c_0_147,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(esk1_0,esk1_0)
| g_false_only(X1,X1)
| ~ g_true(X1,esk8_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_138]) ).
cnf(c_0_148,negated_conjecture,
( g_false_only(X1,esk6_1(esk1_0))
| g_false_only(X2,esk6_1(esk1_0))
| g_false_only(esk6_1(esk1_0),X2)
| g_false_only(esk1_0,esk1_0)
| g_false_only(X3,esk8_0)
| g_false_only(X4,X3)
| g_false_only(X3,X4)
| g_both(X1,esk6_1(esk1_0))
| g_true_only(esk4_2(esk1_0,esk1_0),esk1_0)
| ~ g_true_only(esk6_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_9]) ).
cnf(c_0_149,negated_conjecture,
( g_false_only(X1,esk6_1(esk1_0))
| g_false_only(X2,esk6_1(esk1_0))
| g_false_only(esk6_1(esk1_0),X2)
| g_false_only(esk1_0,esk1_0)
| g_false_only(X3,esk8_0)
| g_false_only(X4,X3)
| g_false_only(X3,X4)
| g_both(X1,esk6_1(esk1_0))
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0))
| ~ g_true_only(esk6_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_140,c_0_9]) ).
cnf(c_0_150,negated_conjecture,
( g_false_only(esk6_1(esk1_0),X1)
| g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_true_only(esk4_2(esk1_0,esk1_0),esk1_0)
| g_true_only(esk9_1(X2),X2)
| g_true_only(X2,esk8_0)
| ~ g_true_only(X3,esk6_1(esk1_0))
| ~ g_true_only(esk6_1(esk1_0),X3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_53]),c_0_14]) ).
cnf(c_0_151,negated_conjecture,
( g_false_only(esk6_1(esk1_0),X1)
| g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0))
| g_true_only(esk9_1(X2),X2)
| g_true_only(X2,esk8_0)
| ~ g_true_only(X3,esk6_1(esk1_0))
| ~ g_true_only(esk6_1(esk1_0),X3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_53]),c_0_14]) ).
cnf(c_0_152,negated_conjecture,
( g_false_only(esk6_1(esk1_0),X1)
| g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_true_only(esk4_2(esk1_0,esk1_0),esk1_0)
| g_true_only(X2,esk9_1(X2))
| g_true_only(X2,esk8_0)
| ~ g_true_only(X3,esk6_1(esk1_0))
| ~ g_true_only(esk6_1(esk1_0),X3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_53]),c_0_14]) ).
cnf(c_0_153,negated_conjecture,
( g_false_only(X1,esk6_1(esk1_0))
| g_false_only(X2,esk6_1(esk1_0))
| g_false_only(esk6_1(esk1_0),X2)
| g_false_only(esk1_0,esk1_0)
| g_both(X1,esk6_1(esk1_0))
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0))
| g_true_only(X3,esk9_1(X3))
| g_true_only(X3,esk8_0)
| ~ g_true_only(esk6_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_9]) ).
cnf(c_0_154,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_both(esk1_0,esk14_2(esk1_0,esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_145]),c_0_146]) ).
cnf(c_0_155,plain,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_false_only(esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_147,c_0_101]) ).
cnf(c_0_156,negated_conjecture,
( g_false_only(esk6_1(esk1_0),X1)
| g_false_only(esk6_1(esk1_0),X2)
| g_false_only(X2,esk6_1(esk1_0))
| g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_false_only(X3,esk8_0)
| g_false_only(X3,X4)
| g_false_only(X4,X3)
| g_both(esk6_1(esk1_0),X1)
| g_both(X1,esk6_1(esk1_0))
| g_true_only(esk4_2(esk1_0,esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_148,c_0_9]) ).
cnf(c_0_157,negated_conjecture,
( g_false_only(esk6_1(esk1_0),X1)
| g_false_only(esk6_1(esk1_0),X2)
| g_false_only(X2,esk6_1(esk1_0))
| g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_false_only(X3,esk8_0)
| g_false_only(X3,X4)
| g_false_only(X4,X3)
| g_both(esk6_1(esk1_0),X1)
| g_both(X1,esk6_1(esk1_0))
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_149,c_0_9]) ).
cnf(c_0_158,negated_conjecture,
( g_false_only(X1,esk6_1(esk1_0))
| g_false_only(X2,esk6_1(esk1_0))
| g_false_only(esk6_1(esk1_0),X2)
| g_false_only(esk1_0,esk1_0)
| g_both(X1,esk6_1(esk1_0))
| g_true_only(esk4_2(esk1_0,esk1_0),esk1_0)
| g_true_only(esk9_1(X3),X3)
| g_true_only(X3,esk8_0)
| ~ g_true_only(esk6_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_150,c_0_9]) ).
cnf(c_0_159,negated_conjecture,
( g_false_only(X1,esk6_1(esk1_0))
| g_false_only(X2,esk6_1(esk1_0))
| g_false_only(esk6_1(esk1_0),X2)
| g_false_only(esk1_0,esk1_0)
| g_both(X1,esk6_1(esk1_0))
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0))
| g_true_only(esk9_1(X3),X3)
| g_true_only(X3,esk8_0)
| ~ g_true_only(esk6_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_9]) ).
cnf(c_0_160,negated_conjecture,
( g_false_only(X1,esk6_1(esk1_0))
| g_false_only(X2,esk6_1(esk1_0))
| g_false_only(esk6_1(esk1_0),X2)
| g_false_only(esk1_0,esk1_0)
| g_both(X1,esk6_1(esk1_0))
| g_true_only(esk4_2(esk1_0,esk1_0),esk1_0)
| g_true_only(X3,esk9_1(X3))
| g_true_only(X3,esk8_0)
| ~ g_true_only(esk6_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_152,c_0_9]) ).
cnf(c_0_161,negated_conjecture,
( g_false_only(esk6_1(esk1_0),X1)
| g_false_only(esk6_1(esk1_0),X2)
| g_false_only(X2,esk6_1(esk1_0))
| g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_both(esk6_1(esk1_0),X1)
| g_both(X1,esk6_1(esk1_0))
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0))
| g_true_only(X3,esk9_1(X3))
| g_true_only(X3,esk8_0) ),
inference(spm,[status(thm)],[c_0_153,c_0_9]) ).
cnf(c_0_162,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_true_only(esk3_1(esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_154]),c_0_56]),c_0_55]),c_0_155]) ).
cnf(c_0_163,negated_conjecture,
( g_false_only(esk6_1(esk1_0),esk1_0)
| g_true_only(esk1_0,esk3_1(esk1_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_154]),c_0_56]),c_0_55]),c_0_155]) ).
cnf(c_0_164,plain,
( g_false_only(X1,esk6_1(esk1_0))
| g_false_only(X2,esk6_1(esk1_0))
| g_false_only(esk6_1(esk1_0),X2)
| g_false_only(esk6_1(esk1_0),X1)
| g_false_only(esk1_0,esk1_0)
| g_false_only(X3,esk8_0)
| g_false_only(X4,X3)
| g_false_only(X3,X4)
| g_both(X1,esk6_1(esk1_0))
| g_both(esk6_1(esk1_0),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_156]),c_0_157]) ).
cnf(c_0_165,negated_conjecture,
( g_false_only(esk6_1(esk1_0),X1)
| g_false_only(esk6_1(esk1_0),X2)
| g_false_only(X2,esk6_1(esk1_0))
| g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_both(esk6_1(esk1_0),X1)
| g_both(X1,esk6_1(esk1_0))
| g_true_only(esk4_2(esk1_0,esk1_0),esk1_0)
| g_true_only(esk9_1(X3),X3)
| g_true_only(X3,esk8_0) ),
inference(spm,[status(thm)],[c_0_158,c_0_9]) ).
cnf(c_0_166,negated_conjecture,
( g_false_only(esk6_1(esk1_0),X1)
| g_false_only(esk6_1(esk1_0),X2)
| g_false_only(X2,esk6_1(esk1_0))
| g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_both(esk6_1(esk1_0),X1)
| g_both(X1,esk6_1(esk1_0))
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0))
| g_true_only(esk9_1(X3),X3)
| g_true_only(X3,esk8_0) ),
inference(spm,[status(thm)],[c_0_159,c_0_9]) ).
cnf(c_0_167,negated_conjecture,
( g_false_only(esk6_1(esk1_0),X1)
| g_false_only(esk6_1(esk1_0),X2)
| g_false_only(X2,esk6_1(esk1_0))
| g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_both(esk6_1(esk1_0),X1)
| g_both(X1,esk6_1(esk1_0))
| g_true_only(esk4_2(esk1_0,esk1_0),esk1_0)
| g_true_only(X3,esk9_1(X3))
| g_true_only(X3,esk8_0) ),
inference(spm,[status(thm)],[c_0_160,c_0_9]) ).
cnf(c_0_168,negated_conjecture,
( g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk6_1(esk1_0),X1)
| g_false_only(esk1_0,esk1_0)
| g_both(X1,esk6_1(esk1_0))
| g_both(esk6_1(esk1_0),X1)
| g_true_only(esk1_0,esk4_2(esk1_0,esk1_0))
| g_true_only(X2,esk9_1(X2))
| g_true_only(X2,esk8_0) ),
inference(ef,[status(thm)],[c_0_161]) ).
cnf(c_0_169,plain,
g_false_only(esk6_1(esk1_0),esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_162]),c_0_163]) ).
cnf(c_0_170,plain,
( g_false_only(esk6_1(esk1_0),X1)
| g_false_only(esk6_1(esk1_0),X2)
| g_false_only(X2,esk6_1(esk1_0))
| g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk8_0)
| g_false_only(esk1_0,esk1_0)
| g_both(esk6_1(esk1_0),X1)
| g_both(X1,esk6_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_164]),c_0_56]) ).
cnf(c_0_171,plain,
( g_false_only(X1,esk6_1(esk1_0))
| g_false_only(X2,esk6_1(esk1_0))
| g_false_only(esk6_1(esk1_0),X2)
| g_false_only(esk6_1(esk1_0),X1)
| g_false_only(esk1_0,esk1_0)
| g_both(X1,esk6_1(esk1_0))
| g_both(esk6_1(esk1_0),X1)
| g_true_only(esk9_1(X3),X3)
| g_true_only(X3,esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_165]),c_0_166]) ).
cnf(c_0_172,plain,
( g_false_only(X1,esk6_1(esk1_0))
| g_false_only(X2,esk6_1(esk1_0))
| g_false_only(esk6_1(esk1_0),X2)
| g_false_only(esk6_1(esk1_0),X1)
| g_false_only(esk1_0,esk1_0)
| g_both(X1,esk6_1(esk1_0))
| g_both(esk6_1(esk1_0),X1)
| g_true_only(X3,esk9_1(X3))
| g_true_only(X3,esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_167]),c_0_168]) ).
cnf(c_0_173,negated_conjecture,
~ g_false_only(esk2_1(esk6_1(esk1_0)),esk6_1(esk1_0)),
inference(spm,[status(thm)],[c_0_21,c_0_169]) ).
cnf(c_0_174,plain,
( g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk6_1(esk1_0),X1)
| g_false_only(esk1_0,esk1_0)
| g_false_only(esk1_0,esk8_0)
| g_both(X1,esk6_1(esk1_0))
| g_both(esk6_1(esk1_0),X1) ),
inference(ef,[status(thm)],[c_0_170]) ).
cnf(c_0_175,negated_conjecture,
~ g_false_only(esk6_1(esk1_0),esk2_1(esk6_1(esk1_0))),
inference(spm,[status(thm)],[c_0_23,c_0_169]) ).
cnf(c_0_176,plain,
( g_false_only(esk6_1(esk1_0),X1)
| g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_both(esk6_1(esk1_0),X1)
| g_both(X1,esk6_1(esk1_0))
| g_true_only(esk9_1(X2),X2)
| g_true_only(X2,esk8_0) ),
inference(ef,[status(thm)],[c_0_171]) ).
cnf(c_0_177,plain,
( g_false_only(esk6_1(esk1_0),X1)
| g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_both(esk6_1(esk1_0),X1)
| g_both(X1,esk6_1(esk1_0))
| g_true_only(X2,esk9_1(X2))
| g_true_only(X2,esk8_0) ),
inference(ef,[status(thm)],[c_0_172]) ).
cnf(c_0_178,negated_conjecture,
( g_false_only(esk1_0,esk8_0)
| g_false_only(esk1_0,esk1_0)
| g_both(esk6_1(esk1_0),esk2_1(esk6_1(esk1_0)))
| g_both(esk2_1(esk6_1(esk1_0)),esk6_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]) ).
cnf(c_0_179,plain,
( g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk6_1(esk1_0),X1)
| g_false_only(esk1_0,esk1_0)
| g_both(X1,esk6_1(esk1_0))
| g_both(esk6_1(esk1_0),X1)
| g_true_only(esk1_0,esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_176]),c_0_177]) ).
cnf(c_0_180,negated_conjecture,
( g_false_only(esk1_0,esk1_0)
| g_both(esk2_1(esk6_1(esk1_0)),esk6_1(esk1_0))
| g_both(esk6_1(esk1_0),esk2_1(esk6_1(esk1_0)))
| ~ g_true(esk1_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_178]) ).
cnf(c_0_181,plain,
( g_true(esk1_0,esk8_0)
| g_false_only(esk6_1(esk1_0),X1)
| g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_both(esk6_1(esk1_0),X1)
| g_both(X1,esk6_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_37,c_0_179]) ).
cnf(c_0_182,plain,
( g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk6_1(esk1_0),X1)
| g_false_only(esk1_0,esk1_0)
| g_both(esk6_1(esk1_0),esk2_1(esk6_1(esk1_0)))
| g_both(esk2_1(esk6_1(esk1_0)),esk6_1(esk1_0))
| g_both(X1,esk6_1(esk1_0))
| g_both(esk6_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_183,negated_conjecture,
( g_false_only(esk1_0,esk1_0)
| g_both(esk2_1(esk6_1(esk1_0)),esk6_1(esk1_0))
| g_both(esk6_1(esk1_0),esk2_1(esk6_1(esk1_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_182]),c_0_175]) ).
cnf(c_0_184,negated_conjecture,
g_true(esk1_0,esk1_0),
inference(spm,[status(thm)],[c_0_105,c_0_53]) ).
cnf(c_0_185,plain,
( g_false(esk6_1(esk1_0),X1)
| g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk8_0)
| g_false_only(esk1_0,esk1_0)
| g_both(X1,esk6_1(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_174]),c_0_27]) ).
cnf(c_0_186,negated_conjecture,
( g_both(esk6_1(esk1_0),esk2_1(esk6_1(esk1_0)))
| g_both(esk2_1(esk6_1(esk1_0)),esk6_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_183]),c_0_184])]) ).
cnf(c_0_187,plain,
( g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_false_only(esk1_0,esk8_0)
| g_both(X1,esk6_1(esk1_0))
| ~ g_true_only(esk6_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_185]) ).
cnf(c_0_188,negated_conjecture,
( g_both(esk6_1(esk1_0),esk2_1(esk6_1(esk1_0)))
| g_true_only(esk6_1(esk1_0),esk3_1(esk6_1(esk1_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_186]),c_0_169])]),c_0_175]),c_0_173]) ).
cnf(c_0_189,negated_conjecture,
( g_both(esk6_1(esk1_0),esk2_1(esk6_1(esk1_0)))
| g_true_only(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_186]),c_0_169])]),c_0_175]),c_0_173]) ).
cnf(c_0_190,plain,
( g_false_only(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0))
| g_false_only(esk1_0,esk8_0)
| g_false_only(esk1_0,esk1_0)
| g_both(esk6_1(esk1_0),esk2_1(esk6_1(esk1_0)))
| g_both(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_191,negated_conjecture,
( g_true(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0))
| g_both(esk6_1(esk1_0),esk2_1(esk6_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_37,c_0_189]) ).
cnf(c_0_192,plain,
( g_false_only(esk1_0,esk1_0)
| g_false_only(esk1_0,esk8_0)
| g_both(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0))
| g_both(esk6_1(esk1_0),esk2_1(esk6_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_190]),c_0_191]) ).
cnf(c_0_193,plain,
( g_false(esk6_1(esk1_0),X1)
| g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_both(X1,esk6_1(esk1_0))
| g_true_only(esk1_0,esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_179]),c_0_27]) ).
cnf(c_0_194,plain,
( g_false(esk1_0,esk8_0)
| g_false_only(esk1_0,esk1_0)
| g_both(esk6_1(esk1_0),esk2_1(esk6_1(esk1_0)))
| g_both(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_25,c_0_192]) ).
cnf(c_0_195,plain,
( g_false_only(X1,esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_both(X1,esk6_1(esk1_0))
| g_true_only(esk1_0,esk8_0)
| ~ g_true_only(esk6_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_193]) ).
cnf(c_0_196,plain,
( g_false_only(esk1_0,esk1_0)
| g_both(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0))
| g_both(esk6_1(esk1_0),esk2_1(esk6_1(esk1_0)))
| ~ g_true_only(esk1_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_194]) ).
cnf(c_0_197,plain,
( g_false_only(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_both(esk6_1(esk1_0),esk2_1(esk6_1(esk1_0)))
| g_both(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0))
| g_true_only(esk1_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_195,c_0_188]) ).
cnf(c_0_198,plain,
( g_false_only(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_both(esk6_1(esk1_0),esk2_1(esk6_1(esk1_0)))
| g_both(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_199,plain,
( g_false_only(esk1_0,esk1_0)
| g_both(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0))
| g_both(esk6_1(esk1_0),esk2_1(esk6_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_198]),c_0_191]) ).
cnf(c_0_200,plain,
( g_both(esk6_1(esk1_0),esk2_1(esk6_1(esk1_0)))
| g_both(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_199]),c_0_184])]) ).
cnf(c_0_201,plain,
( g_false(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0))
| g_both(esk6_1(esk1_0),esk2_1(esk6_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_27,c_0_200]) ).
cnf(c_0_202,plain,
g_both(esk6_1(esk1_0),esk2_1(esk6_1(esk1_0))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_201]),c_0_189]) ).
cnf(c_0_203,negated_conjecture,
g_true_only(esk6_1(esk1_0),esk3_1(esk6_1(esk1_0))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_202]),c_0_169])]),c_0_175]),c_0_173]) ).
cnf(c_0_204,negated_conjecture,
g_true_only(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_202]),c_0_169])]),c_0_175]),c_0_173]) ).
cnf(c_0_205,plain,
( g_false_only(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0))
| g_false_only(esk1_0,esk8_0)
| g_false_only(esk1_0,esk1_0)
| g_both(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_187,c_0_203]) ).
cnf(c_0_206,negated_conjecture,
g_true(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0)),
inference(spm,[status(thm)],[c_0_37,c_0_204]) ).
cnf(c_0_207,plain,
( g_false_only(esk1_0,esk1_0)
| g_false_only(esk1_0,esk8_0)
| g_both(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_205]),c_0_206])]) ).
cnf(c_0_208,plain,
( g_false(esk1_0,esk8_0)
| g_false_only(esk1_0,esk1_0)
| g_both(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_25,c_0_207]) ).
cnf(c_0_209,plain,
( g_false_only(esk1_0,esk1_0)
| g_both(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0))
| ~ g_true_only(esk1_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_208]) ).
cnf(c_0_210,plain,
( g_false_only(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_both(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0))
| g_true_only(esk1_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_195,c_0_203]) ).
cnf(c_0_211,plain,
( g_false_only(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0))
| g_false_only(esk1_0,esk1_0)
| g_both(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_212,plain,
( g_false_only(esk1_0,esk1_0)
| g_both(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_211]),c_0_206])]) ).
cnf(c_0_213,plain,
g_both(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_212]),c_0_184])]) ).
cnf(c_0_214,plain,
g_false(esk3_1(esk6_1(esk1_0)),esk6_1(esk1_0)),
inference(spm,[status(thm)],[c_0_27,c_0_213]) ).
cnf(c_0_215,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_214]),c_0_204])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO604+1 : TPTP v8.1.2. Released v7.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n017.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
% 0.19/0.33 % CPULimit : 300
% 0.19/0.33 % WCLimit : 300
% 0.19/0.33 % DateTime : Sat Aug 26 06:52:25 EDT 2023
% 0.19/0.33 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 111.47/111.48 % Version : CSE_E---1.5
% 111.47/111.48 % Problem : theBenchmark.p
% 111.47/111.48 % Proof found
% 111.47/111.48 % SZS status Theorem for theBenchmark.p
% 111.47/111.48 % SZS output start Proof
% See solution above
% 111.47/111.51 % Total time : 110.918000 s
% 111.47/111.51 % SZS output end Proof
% 111.47/111.51 % Total time : 110.926000 s
%------------------------------------------------------------------------------