TSTP Solution File: SYO605+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYO605+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n029.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 04:11:52 EDT 2023
% Result : Theorem 4.21s 4.28s
% Output : CNFRefutation 4.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 26
% Syntax : Number of formulae : 278 ( 26 unt; 19 typ; 0 def)
% Number of atoms : 1954 ( 0 equ)
% Maximal formula atoms : 304 ( 7 avg)
% Number of connectives : 2055 ( 360 ~;1524 |; 162 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 14 >; 8 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 308 ( 0 sgn; 45 !; 37 ?; 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_0: $o ).
tff(decl_28,type,
epred2_0: $o ).
tff(decl_29,type,
esk1_0: $i ).
tff(decl_30,type,
esk2_1: $i > $i ).
tff(decl_31,type,
esk3_0: $i ).
tff(decl_32,type,
esk4_1: $i > $i ).
tff(decl_33,type,
esk5_1: $i > $i ).
tff(decl_34,type,
esk6_1: $i > $i ).
tff(decl_35,type,
esk7_1: $i > $i ).
tff(decl_36,type,
esk8_0: $i ).
tff(decl_37,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_38,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_39,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_40,type,
esk12_1: $i > $i ).
fof(nc4,conjecture,
( ! [X1] :
? [X2] :
( ( g_true_only(X2,X1)
& ( g_both(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_both(X2,X1)
& ( g_true_only(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_false_only(X2,X1)
& ( g_true_only(X2,X2)
| g_both(X2,X2) ) ) )
| ? [X2] :
! [X1] :
? [X3] :
( ( g_true_only(X3,X1)
& ( g_both(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_both(X3,X1)
& ( g_false_only(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_false_only(X3,X1)
& ( g_false_only(X3,X2)
| g_both(X3,X2) ) ) )
| ( ? [X1] :
( ? [X2] :
( g_both(X2,X1)
& g_both(X2,X2) )
& ~ ? [X2] :
( ( g_true_only(X2,X1)
& ( g_both(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_both(X2,X1)
& ( g_true_only(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_false_only(X2,X1)
& ( g_true_only(X2,X2)
| g_both(X2,X2) ) ) ) )
& ~ ? [X1] :
! [X2] :
( ( g_true_only(X2,X1)
& g_true_only(X2,X2) )
| ( g_false_only(X2,X1)
& g_false_only(X2,X2) ) )
& ? [X2] :
( ? [X1] :
( ? [X3] :
( g_both(X3,X1)
& g_both(X3,X2) )
& ~ ? [X3] :
( ( g_true_only(X3,X1)
& ( g_both(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_both(X3,X1)
& ( g_false_only(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_false_only(X3,X1)
& ( g_false_only(X3,X2)
| g_both(X3,X2) ) ) ) )
& ~ ? [X1] :
! [X3] :
( ( g_true_only(X3,X1)
& g_false_only(X3,X2) )
| ( g_false_only(X3,X1)
& g_true_only(X3,X2) ) ) )
& ~ ? [X2] :
! [X1] :
? [X3] :
( ( g_true_only(X3,X1)
& ( g_both(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_both(X3,X1)
& ( g_false_only(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_false_only(X3,X1)
& ( g_false_only(X3,X2)
| g_both(X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc4) ).
fof(exhaustion_g,axiom,
! [X4,X5] :
( g_true_only(X4,X5)
| g_both(X4,X5)
| g_false_only(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_g) ).
fof(false_only_g,axiom,
! [X4,X5] :
( g_false_only(X4,X5)
<=> ( g_false(X4,X5)
& ~ g_true(X4,X5) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',both_g) ).
fof(c_0_5,plain,
( epred1_0
<=> ( ? [X1] :
( ? [X2] :
( g_both(X2,X1)
& g_both(X2,X2) )
& ~ ? [X2] :
( ( g_true_only(X2,X1)
& ( g_both(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_both(X2,X1)
& ( g_true_only(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_false_only(X2,X1)
& ( g_true_only(X2,X2)
| g_both(X2,X2) ) ) ) )
& ~ ? [X1] :
! [X2] :
( ( g_true_only(X2,X1)
& g_true_only(X2,X2) )
| ( g_false_only(X2,X1)
& g_false_only(X2,X2) ) ) ) ),
introduced(definition) ).
fof(c_0_6,plain,
( epred2_0
<=> ? [X2] :
( ? [X1] :
( ? [X3] :
( g_both(X3,X1)
& g_both(X3,X2) )
& ~ ? [X3] :
( ( g_true_only(X3,X1)
& ( g_both(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_both(X3,X1)
& ( g_false_only(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_false_only(X3,X1)
& ( g_false_only(X3,X2)
| g_both(X3,X2) ) ) ) )
& ~ ? [X1] :
! [X3] :
( ( g_true_only(X3,X1)
& g_false_only(X3,X2) )
| ( g_false_only(X3,X1)
& g_true_only(X3,X2) ) ) ) ),
introduced(definition) ).
fof(c_0_7,negated_conjecture,
~ ( ! [X1] :
? [X2] :
( ( g_true_only(X2,X1)
& ( g_both(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_both(X2,X1)
& ( g_true_only(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_false_only(X2,X1)
& ( g_true_only(X2,X2)
| g_both(X2,X2) ) ) )
| ? [X2] :
! [X1] :
? [X3] :
( ( g_true_only(X3,X1)
& ( g_both(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_both(X3,X1)
& ( g_false_only(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_false_only(X3,X1)
& ( g_false_only(X3,X2)
| g_both(X3,X2) ) ) )
| ( epred1_0
& epred2_0
& ~ ? [X2] :
! [X1] :
? [X3] :
( ( g_true_only(X3,X1)
& ( g_both(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_both(X3,X1)
& ( g_false_only(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_false_only(X3,X1)
& ( g_false_only(X3,X2)
| g_both(X3,X2) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[nc4]),c_0_5]),c_0_6]) ).
fof(c_0_8,negated_conjecture,
! [X7,X8,X10,X11,X12,X14] :
( ( ~ g_both(X7,X7)
| ~ g_true_only(X7,esk1_0) )
& ( ~ g_false_only(X7,X7)
| ~ g_true_only(X7,esk1_0) )
& ( ~ g_true_only(X7,X7)
| ~ g_both(X7,esk1_0) )
& ( ~ g_false_only(X7,X7)
| ~ g_both(X7,esk1_0) )
& ( ~ g_true_only(X7,X7)
| ~ g_false_only(X7,esk1_0) )
& ( ~ g_both(X7,X7)
| ~ g_false_only(X7,esk1_0) )
& ( ~ g_both(X10,X8)
| ~ g_true_only(X10,esk2_1(X8)) )
& ( ~ g_true_only(X10,X8)
| ~ g_true_only(X10,esk2_1(X8)) )
& ( ~ g_false_only(X11,X8)
| ~ g_both(X11,esk2_1(X8)) )
& ( ~ g_true_only(X11,X8)
| ~ g_both(X11,esk2_1(X8)) )
& ( ~ g_false_only(X12,X8)
| ~ g_false_only(X12,esk2_1(X8)) )
& ( ~ g_both(X12,X8)
| ~ g_false_only(X12,esk2_1(X8)) )
& ( g_false_only(esk4_1(X14),X14)
| g_both(esk4_1(X14),X14)
| g_true_only(esk4_1(X14),X14)
| ~ epred1_0
| ~ epred2_0 )
& ( g_false_only(esk4_1(X14),esk3_0)
| g_both(esk4_1(X14),esk3_0)
| g_both(esk4_1(X14),X14)
| g_true_only(esk4_1(X14),X14)
| ~ epred1_0
| ~ epred2_0 )
& ( g_false_only(esk4_1(X14),X14)
| g_false_only(esk4_1(X14),esk3_0)
| g_true_only(esk4_1(X14),esk3_0)
| g_true_only(esk4_1(X14),X14)
| ~ epred1_0
| ~ epred2_0 )
& ( g_false_only(esk4_1(X14),esk3_0)
| g_both(esk4_1(X14),esk3_0)
| g_false_only(esk4_1(X14),esk3_0)
| g_true_only(esk4_1(X14),esk3_0)
| g_true_only(esk4_1(X14),X14)
| ~ epred1_0
| ~ epred2_0 )
& ( g_false_only(esk4_1(X14),X14)
| g_both(esk4_1(X14),X14)
| g_both(esk4_1(X14),esk3_0)
| g_true_only(esk4_1(X14),esk3_0)
| ~ epred1_0
| ~ epred2_0 )
& ( g_false_only(esk4_1(X14),esk3_0)
| g_both(esk4_1(X14),esk3_0)
| g_both(esk4_1(X14),X14)
| g_both(esk4_1(X14),esk3_0)
| g_true_only(esk4_1(X14),esk3_0)
| ~ epred1_0
| ~ epred2_0 )
& ( g_false_only(esk4_1(X14),X14)
| g_false_only(esk4_1(X14),esk3_0)
| g_true_only(esk4_1(X14),esk3_0)
| g_both(esk4_1(X14),esk3_0)
| g_true_only(esk4_1(X14),esk3_0)
| ~ epred1_0
| ~ epred2_0 )
& ( g_false_only(esk4_1(X14),esk3_0)
| g_both(esk4_1(X14),esk3_0)
| g_false_only(esk4_1(X14),esk3_0)
| g_true_only(esk4_1(X14),esk3_0)
| g_both(esk4_1(X14),esk3_0)
| g_true_only(esk4_1(X14),esk3_0)
| ~ epred1_0
| ~ epred2_0 ) ),
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_7])])])])])]) ).
fof(c_0_9,plain,
! [X22,X23] :
( g_true_only(X22,X23)
| g_both(X22,X23)
| g_false_only(X22,X23) ),
inference(variable_rename,[status(thm)],[exhaustion_g]) ).
cnf(c_0_10,negated_conjecture,
( ~ g_true_only(X1,X2)
| ~ g_true_only(X1,esk2_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( g_true_only(X1,X2)
| g_both(X1,X2)
| g_false_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( ~ g_both(X1,X2)
| ~ g_true_only(X1,esk2_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( g_false_only(X1,X2)
| ~ g_true_only(X1,esk2_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_14,negated_conjecture,
( ~ g_false_only(X1,X1)
| ~ g_true_only(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
( g_false_only(X1,esk2_1(X2))
| g_false_only(X1,X2)
| g_both(X1,esk2_1(X2)) ),
inference(spm,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( ~ g_both(X1,X1)
| ~ g_true_only(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,negated_conjecture,
( g_false_only(esk2_1(X1),X1)
| ~ g_true_only(esk2_1(X1),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_18,negated_conjecture,
( g_false_only(esk2_1(X1),esk1_0)
| g_false_only(esk2_1(X1),X1)
| g_both(esk2_1(X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_19,negated_conjecture,
( ~ g_true_only(X1,X1)
| ~ g_false_only(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,negated_conjecture,
( g_false_only(esk2_1(esk1_0),esk1_0)
| g_both(esk2_1(esk1_0),esk1_0) ),
inference(ef,[status(thm)],[c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( ~ g_false_only(X1,X2)
| ~ g_false_only(X1,esk2_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,negated_conjecture,
( ~ g_both(X1,X2)
| ~ g_false_only(X1,esk2_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_23,plain,
( ( ? [X1] :
( ? [X2] :
( g_both(X2,X1)
& g_both(X2,X2) )
& ~ ? [X2] :
( ( g_true_only(X2,X1)
& ( g_both(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_both(X2,X1)
& ( g_true_only(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_false_only(X2,X1)
& ( g_true_only(X2,X2)
| g_both(X2,X2) ) ) ) )
& ~ ? [X1] :
! [X2] :
( ( g_true_only(X2,X1)
& g_true_only(X2,X2) )
| ( g_false_only(X2,X1)
& g_false_only(X2,X2) ) ) )
=> epred1_0 ),
inference(split_equiv,[status(thm)],[c_0_5]) ).
cnf(c_0_24,negated_conjecture,
~ g_true_only(esk2_1(esk1_0),esk2_1(esk1_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_12]) ).
cnf(c_0_25,negated_conjecture,
~ g_false_only(esk2_1(esk1_0),esk2_1(esk1_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_20]),c_0_22]) ).
fof(c_0_26,plain,
! [X24,X25,X30] :
( ( g_false_only(X30,esk8_0)
| g_true_only(X30,esk8_0)
| g_false_only(esk7_1(X24),X24)
| g_both(esk6_1(X24),X24)
| g_true_only(esk5_1(X24),X24)
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,X30)
| g_true_only(X30,esk8_0)
| g_false_only(esk7_1(X24),X24)
| g_both(esk6_1(X24),X24)
| g_true_only(esk5_1(X24),X24)
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,esk8_0)
| g_true_only(X30,X30)
| g_false_only(esk7_1(X24),X24)
| g_both(esk6_1(X24),X24)
| g_true_only(esk5_1(X24),X24)
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,X30)
| g_true_only(X30,X30)
| g_false_only(esk7_1(X24),X24)
| g_both(esk6_1(X24),X24)
| g_true_only(esk5_1(X24),X24)
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,esk8_0)
| g_true_only(X30,esk8_0)
| g_true_only(esk7_1(X24),esk7_1(X24))
| g_both(esk7_1(X24),esk7_1(X24))
| g_both(esk6_1(X24),X24)
| g_true_only(esk5_1(X24),X24)
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,X30)
| g_true_only(X30,esk8_0)
| g_true_only(esk7_1(X24),esk7_1(X24))
| g_both(esk7_1(X24),esk7_1(X24))
| g_both(esk6_1(X24),X24)
| g_true_only(esk5_1(X24),X24)
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,esk8_0)
| g_true_only(X30,X30)
| g_true_only(esk7_1(X24),esk7_1(X24))
| g_both(esk7_1(X24),esk7_1(X24))
| g_both(esk6_1(X24),X24)
| g_true_only(esk5_1(X24),X24)
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,X30)
| g_true_only(X30,X30)
| g_true_only(esk7_1(X24),esk7_1(X24))
| g_both(esk7_1(X24),esk7_1(X24))
| g_both(esk6_1(X24),X24)
| g_true_only(esk5_1(X24),X24)
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,esk8_0)
| g_true_only(X30,esk8_0)
| g_false_only(esk7_1(X24),X24)
| g_true_only(esk6_1(X24),esk6_1(X24))
| g_false_only(esk6_1(X24),esk6_1(X24))
| g_true_only(esk5_1(X24),X24)
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,X30)
| g_true_only(X30,esk8_0)
| g_false_only(esk7_1(X24),X24)
| g_true_only(esk6_1(X24),esk6_1(X24))
| g_false_only(esk6_1(X24),esk6_1(X24))
| g_true_only(esk5_1(X24),X24)
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,esk8_0)
| g_true_only(X30,X30)
| g_false_only(esk7_1(X24),X24)
| g_true_only(esk6_1(X24),esk6_1(X24))
| g_false_only(esk6_1(X24),esk6_1(X24))
| g_true_only(esk5_1(X24),X24)
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,X30)
| g_true_only(X30,X30)
| g_false_only(esk7_1(X24),X24)
| g_true_only(esk6_1(X24),esk6_1(X24))
| g_false_only(esk6_1(X24),esk6_1(X24))
| g_true_only(esk5_1(X24),X24)
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,esk8_0)
| g_true_only(X30,esk8_0)
| g_true_only(esk7_1(X24),esk7_1(X24))
| g_both(esk7_1(X24),esk7_1(X24))
| g_true_only(esk6_1(X24),esk6_1(X24))
| g_false_only(esk6_1(X24),esk6_1(X24))
| g_true_only(esk5_1(X24),X24)
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,X30)
| g_true_only(X30,esk8_0)
| g_true_only(esk7_1(X24),esk7_1(X24))
| g_both(esk7_1(X24),esk7_1(X24))
| g_true_only(esk6_1(X24),esk6_1(X24))
| g_false_only(esk6_1(X24),esk6_1(X24))
| g_true_only(esk5_1(X24),X24)
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,esk8_0)
| g_true_only(X30,X30)
| g_true_only(esk7_1(X24),esk7_1(X24))
| g_both(esk7_1(X24),esk7_1(X24))
| g_true_only(esk6_1(X24),esk6_1(X24))
| g_false_only(esk6_1(X24),esk6_1(X24))
| g_true_only(esk5_1(X24),X24)
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,X30)
| g_true_only(X30,X30)
| g_true_only(esk7_1(X24),esk7_1(X24))
| g_both(esk7_1(X24),esk7_1(X24))
| g_true_only(esk6_1(X24),esk6_1(X24))
| g_false_only(esk6_1(X24),esk6_1(X24))
| g_true_only(esk5_1(X24),X24)
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,esk8_0)
| g_true_only(X30,esk8_0)
| g_false_only(esk7_1(X24),X24)
| g_both(esk6_1(X24),X24)
| g_both(esk5_1(X24),esk5_1(X24))
| g_false_only(esk5_1(X24),esk5_1(X24))
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,X30)
| g_true_only(X30,esk8_0)
| g_false_only(esk7_1(X24),X24)
| g_both(esk6_1(X24),X24)
| g_both(esk5_1(X24),esk5_1(X24))
| g_false_only(esk5_1(X24),esk5_1(X24))
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,esk8_0)
| g_true_only(X30,X30)
| g_false_only(esk7_1(X24),X24)
| g_both(esk6_1(X24),X24)
| g_both(esk5_1(X24),esk5_1(X24))
| g_false_only(esk5_1(X24),esk5_1(X24))
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,X30)
| g_true_only(X30,X30)
| g_false_only(esk7_1(X24),X24)
| g_both(esk6_1(X24),X24)
| g_both(esk5_1(X24),esk5_1(X24))
| g_false_only(esk5_1(X24),esk5_1(X24))
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,esk8_0)
| g_true_only(X30,esk8_0)
| g_true_only(esk7_1(X24),esk7_1(X24))
| g_both(esk7_1(X24),esk7_1(X24))
| g_both(esk6_1(X24),X24)
| g_both(esk5_1(X24),esk5_1(X24))
| g_false_only(esk5_1(X24),esk5_1(X24))
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,X30)
| g_true_only(X30,esk8_0)
| g_true_only(esk7_1(X24),esk7_1(X24))
| g_both(esk7_1(X24),esk7_1(X24))
| g_both(esk6_1(X24),X24)
| g_both(esk5_1(X24),esk5_1(X24))
| g_false_only(esk5_1(X24),esk5_1(X24))
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,esk8_0)
| g_true_only(X30,X30)
| g_true_only(esk7_1(X24),esk7_1(X24))
| g_both(esk7_1(X24),esk7_1(X24))
| g_both(esk6_1(X24),X24)
| g_both(esk5_1(X24),esk5_1(X24))
| g_false_only(esk5_1(X24),esk5_1(X24))
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,X30)
| g_true_only(X30,X30)
| g_true_only(esk7_1(X24),esk7_1(X24))
| g_both(esk7_1(X24),esk7_1(X24))
| g_both(esk6_1(X24),X24)
| g_both(esk5_1(X24),esk5_1(X24))
| g_false_only(esk5_1(X24),esk5_1(X24))
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,esk8_0)
| g_true_only(X30,esk8_0)
| g_false_only(esk7_1(X24),X24)
| g_true_only(esk6_1(X24),esk6_1(X24))
| g_false_only(esk6_1(X24),esk6_1(X24))
| g_both(esk5_1(X24),esk5_1(X24))
| g_false_only(esk5_1(X24),esk5_1(X24))
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,X30)
| g_true_only(X30,esk8_0)
| g_false_only(esk7_1(X24),X24)
| g_true_only(esk6_1(X24),esk6_1(X24))
| g_false_only(esk6_1(X24),esk6_1(X24))
| g_both(esk5_1(X24),esk5_1(X24))
| g_false_only(esk5_1(X24),esk5_1(X24))
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,esk8_0)
| g_true_only(X30,X30)
| g_false_only(esk7_1(X24),X24)
| g_true_only(esk6_1(X24),esk6_1(X24))
| g_false_only(esk6_1(X24),esk6_1(X24))
| g_both(esk5_1(X24),esk5_1(X24))
| g_false_only(esk5_1(X24),esk5_1(X24))
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,X30)
| g_true_only(X30,X30)
| g_false_only(esk7_1(X24),X24)
| g_true_only(esk6_1(X24),esk6_1(X24))
| g_false_only(esk6_1(X24),esk6_1(X24))
| g_both(esk5_1(X24),esk5_1(X24))
| g_false_only(esk5_1(X24),esk5_1(X24))
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,esk8_0)
| g_true_only(X30,esk8_0)
| g_true_only(esk7_1(X24),esk7_1(X24))
| g_both(esk7_1(X24),esk7_1(X24))
| g_true_only(esk6_1(X24),esk6_1(X24))
| g_false_only(esk6_1(X24),esk6_1(X24))
| g_both(esk5_1(X24),esk5_1(X24))
| g_false_only(esk5_1(X24),esk5_1(X24))
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,X30)
| g_true_only(X30,esk8_0)
| g_true_only(esk7_1(X24),esk7_1(X24))
| g_both(esk7_1(X24),esk7_1(X24))
| g_true_only(esk6_1(X24),esk6_1(X24))
| g_false_only(esk6_1(X24),esk6_1(X24))
| g_both(esk5_1(X24),esk5_1(X24))
| g_false_only(esk5_1(X24),esk5_1(X24))
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,esk8_0)
| g_true_only(X30,X30)
| g_true_only(esk7_1(X24),esk7_1(X24))
| g_both(esk7_1(X24),esk7_1(X24))
| g_true_only(esk6_1(X24),esk6_1(X24))
| g_false_only(esk6_1(X24),esk6_1(X24))
| g_both(esk5_1(X24),esk5_1(X24))
| g_false_only(esk5_1(X24),esk5_1(X24))
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 )
& ( g_false_only(X30,X30)
| g_true_only(X30,X30)
| g_true_only(esk7_1(X24),esk7_1(X24))
| g_both(esk7_1(X24),esk7_1(X24))
| g_true_only(esk6_1(X24),esk6_1(X24))
| g_false_only(esk6_1(X24),esk6_1(X24))
| g_both(esk5_1(X24),esk5_1(X24))
| g_false_only(esk5_1(X24),esk5_1(X24))
| ~ g_both(X25,X24)
| ~ g_both(X25,X25)
| epred1_0 ) ),
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_23])])])])])]) ).
cnf(c_0_27,negated_conjecture,
( ~ g_both(X1,X1)
| ~ g_false_only(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_28,negated_conjecture,
g_both(esk2_1(esk1_0),esk2_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_11]),c_0_25]) ).
fof(c_0_29,plain,
( ? [X2] :
( ? [X1] :
( ? [X3] :
( g_both(X3,X1)
& g_both(X3,X2) )
& ~ ? [X3] :
( ( g_true_only(X3,X1)
& ( g_both(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_both(X3,X1)
& ( g_false_only(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_false_only(X3,X1)
& ( g_false_only(X3,X2)
| g_both(X3,X2) ) ) ) )
& ~ ? [X1] :
! [X3] :
( ( g_true_only(X3,X1)
& g_false_only(X3,X2) )
| ( g_false_only(X3,X1)
& g_true_only(X3,X2) ) ) )
=> epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_6]) ).
cnf(c_0_30,plain,
( g_false_only(X1,esk8_0)
| g_true_only(X1,X1)
| g_false_only(esk7_1(X2),X2)
| g_both(esk6_1(X2),X2)
| g_both(esk5_1(X2),esk5_1(X2))
| g_false_only(esk5_1(X2),esk5_1(X2))
| epred1_0
| ~ g_both(X3,X2)
| ~ g_both(X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,negated_conjecture,
~ g_false_only(esk2_1(esk1_0),esk1_0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_32,plain,
! [X31,X32,X33,X38] :
( ( g_false_only(X38,esk12_1(X31))
| g_true_only(X38,esk12_1(X31))
| g_false_only(esk11_2(X31,X32),X32)
| g_both(esk10_2(X31,X32),X32)
| g_true_only(esk9_2(X31,X32),X32)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_true_only(X38,X31)
| g_true_only(X38,esk12_1(X31))
| g_false_only(esk11_2(X31,X32),X32)
| g_both(esk10_2(X31,X32),X32)
| g_true_only(esk9_2(X31,X32),X32)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_false_only(X38,esk12_1(X31))
| g_false_only(X38,X31)
| g_false_only(esk11_2(X31,X32),X32)
| g_both(esk10_2(X31,X32),X32)
| g_true_only(esk9_2(X31,X32),X32)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_true_only(X38,X31)
| g_false_only(X38,X31)
| g_false_only(esk11_2(X31,X32),X32)
| g_both(esk10_2(X31,X32),X32)
| g_true_only(esk9_2(X31,X32),X32)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_false_only(X38,esk12_1(X31))
| g_true_only(X38,esk12_1(X31))
| g_false_only(esk11_2(X31,X32),X31)
| g_both(esk11_2(X31,X32),X31)
| g_both(esk10_2(X31,X32),X32)
| g_true_only(esk9_2(X31,X32),X32)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_true_only(X38,X31)
| g_true_only(X38,esk12_1(X31))
| g_false_only(esk11_2(X31,X32),X31)
| g_both(esk11_2(X31,X32),X31)
| g_both(esk10_2(X31,X32),X32)
| g_true_only(esk9_2(X31,X32),X32)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_false_only(X38,esk12_1(X31))
| g_false_only(X38,X31)
| g_false_only(esk11_2(X31,X32),X31)
| g_both(esk11_2(X31,X32),X31)
| g_both(esk10_2(X31,X32),X32)
| g_true_only(esk9_2(X31,X32),X32)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_true_only(X38,X31)
| g_false_only(X38,X31)
| g_false_only(esk11_2(X31,X32),X31)
| g_both(esk11_2(X31,X32),X31)
| g_both(esk10_2(X31,X32),X32)
| g_true_only(esk9_2(X31,X32),X32)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_false_only(X38,esk12_1(X31))
| g_true_only(X38,esk12_1(X31))
| g_false_only(esk11_2(X31,X32),X32)
| g_false_only(esk10_2(X31,X32),X31)
| g_true_only(esk10_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X32)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_true_only(X38,X31)
| g_true_only(X38,esk12_1(X31))
| g_false_only(esk11_2(X31,X32),X32)
| g_false_only(esk10_2(X31,X32),X31)
| g_true_only(esk10_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X32)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_false_only(X38,esk12_1(X31))
| g_false_only(X38,X31)
| g_false_only(esk11_2(X31,X32),X32)
| g_false_only(esk10_2(X31,X32),X31)
| g_true_only(esk10_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X32)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_true_only(X38,X31)
| g_false_only(X38,X31)
| g_false_only(esk11_2(X31,X32),X32)
| g_false_only(esk10_2(X31,X32),X31)
| g_true_only(esk10_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X32)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_false_only(X38,esk12_1(X31))
| g_true_only(X38,esk12_1(X31))
| g_false_only(esk11_2(X31,X32),X31)
| g_both(esk11_2(X31,X32),X31)
| g_false_only(esk10_2(X31,X32),X31)
| g_true_only(esk10_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X32)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_true_only(X38,X31)
| g_true_only(X38,esk12_1(X31))
| g_false_only(esk11_2(X31,X32),X31)
| g_both(esk11_2(X31,X32),X31)
| g_false_only(esk10_2(X31,X32),X31)
| g_true_only(esk10_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X32)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_false_only(X38,esk12_1(X31))
| g_false_only(X38,X31)
| g_false_only(esk11_2(X31,X32),X31)
| g_both(esk11_2(X31,X32),X31)
| g_false_only(esk10_2(X31,X32),X31)
| g_true_only(esk10_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X32)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_true_only(X38,X31)
| g_false_only(X38,X31)
| g_false_only(esk11_2(X31,X32),X31)
| g_both(esk11_2(X31,X32),X31)
| g_false_only(esk10_2(X31,X32),X31)
| g_true_only(esk10_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X32)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_false_only(X38,esk12_1(X31))
| g_true_only(X38,esk12_1(X31))
| g_false_only(esk11_2(X31,X32),X32)
| g_both(esk10_2(X31,X32),X32)
| g_both(esk9_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X31)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_true_only(X38,X31)
| g_true_only(X38,esk12_1(X31))
| g_false_only(esk11_2(X31,X32),X32)
| g_both(esk10_2(X31,X32),X32)
| g_both(esk9_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X31)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_false_only(X38,esk12_1(X31))
| g_false_only(X38,X31)
| g_false_only(esk11_2(X31,X32),X32)
| g_both(esk10_2(X31,X32),X32)
| g_both(esk9_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X31)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_true_only(X38,X31)
| g_false_only(X38,X31)
| g_false_only(esk11_2(X31,X32),X32)
| g_both(esk10_2(X31,X32),X32)
| g_both(esk9_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X31)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_false_only(X38,esk12_1(X31))
| g_true_only(X38,esk12_1(X31))
| g_false_only(esk11_2(X31,X32),X31)
| g_both(esk11_2(X31,X32),X31)
| g_both(esk10_2(X31,X32),X32)
| g_both(esk9_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X31)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_true_only(X38,X31)
| g_true_only(X38,esk12_1(X31))
| g_false_only(esk11_2(X31,X32),X31)
| g_both(esk11_2(X31,X32),X31)
| g_both(esk10_2(X31,X32),X32)
| g_both(esk9_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X31)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_false_only(X38,esk12_1(X31))
| g_false_only(X38,X31)
| g_false_only(esk11_2(X31,X32),X31)
| g_both(esk11_2(X31,X32),X31)
| g_both(esk10_2(X31,X32),X32)
| g_both(esk9_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X31)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_true_only(X38,X31)
| g_false_only(X38,X31)
| g_false_only(esk11_2(X31,X32),X31)
| g_both(esk11_2(X31,X32),X31)
| g_both(esk10_2(X31,X32),X32)
| g_both(esk9_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X31)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_false_only(X38,esk12_1(X31))
| g_true_only(X38,esk12_1(X31))
| g_false_only(esk11_2(X31,X32),X32)
| g_false_only(esk10_2(X31,X32),X31)
| g_true_only(esk10_2(X31,X32),X31)
| g_both(esk9_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X31)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_true_only(X38,X31)
| g_true_only(X38,esk12_1(X31))
| g_false_only(esk11_2(X31,X32),X32)
| g_false_only(esk10_2(X31,X32),X31)
| g_true_only(esk10_2(X31,X32),X31)
| g_both(esk9_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X31)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_false_only(X38,esk12_1(X31))
| g_false_only(X38,X31)
| g_false_only(esk11_2(X31,X32),X32)
| g_false_only(esk10_2(X31,X32),X31)
| g_true_only(esk10_2(X31,X32),X31)
| g_both(esk9_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X31)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_true_only(X38,X31)
| g_false_only(X38,X31)
| g_false_only(esk11_2(X31,X32),X32)
| g_false_only(esk10_2(X31,X32),X31)
| g_true_only(esk10_2(X31,X32),X31)
| g_both(esk9_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X31)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_false_only(X38,esk12_1(X31))
| g_true_only(X38,esk12_1(X31))
| g_false_only(esk11_2(X31,X32),X31)
| g_both(esk11_2(X31,X32),X31)
| g_false_only(esk10_2(X31,X32),X31)
| g_true_only(esk10_2(X31,X32),X31)
| g_both(esk9_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X31)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_true_only(X38,X31)
| g_true_only(X38,esk12_1(X31))
| g_false_only(esk11_2(X31,X32),X31)
| g_both(esk11_2(X31,X32),X31)
| g_false_only(esk10_2(X31,X32),X31)
| g_true_only(esk10_2(X31,X32),X31)
| g_both(esk9_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X31)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_false_only(X38,esk12_1(X31))
| g_false_only(X38,X31)
| g_false_only(esk11_2(X31,X32),X31)
| g_both(esk11_2(X31,X32),X31)
| g_false_only(esk10_2(X31,X32),X31)
| g_true_only(esk10_2(X31,X32),X31)
| g_both(esk9_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X31)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 )
& ( g_true_only(X38,X31)
| g_false_only(X38,X31)
| g_false_only(esk11_2(X31,X32),X31)
| g_both(esk11_2(X31,X32),X31)
| g_false_only(esk10_2(X31,X32),X31)
| g_true_only(esk10_2(X31,X32),X31)
| g_both(esk9_2(X31,X32),X31)
| g_true_only(esk9_2(X31,X32),X31)
| ~ g_both(X33,X32)
| ~ g_both(X33,X31)
| epred2_0 ) ),
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_29])])])])])]) ).
fof(c_0_33,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_34,plain,
( epred1_0
| g_false_only(esk5_1(X1),esk5_1(X1))
| g_false_only(esk7_1(X1),X1)
| g_false_only(X2,esk8_0)
| g_both(esk5_1(X1),esk5_1(X1))
| g_both(esk6_1(X1),X1)
| g_true_only(X2,X2)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_28]) ).
cnf(c_0_35,negated_conjecture,
g_both(esk2_1(esk1_0),esk1_0),
inference(sr,[status(thm)],[c_0_20,c_0_31]) ).
cnf(c_0_36,plain,
( g_true_only(X1,X2)
| g_false_only(X1,X2)
| g_false_only(esk11_2(X2,X3),X2)
| g_both(esk11_2(X2,X3),X2)
| g_both(esk10_2(X2,X3),X3)
| g_true_only(esk9_2(X2,X3),X3)
| epred2_0
| ~ g_both(X4,X3)
| ~ g_both(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_37,plain,
( g_true_only(X1,X2)
| g_false_only(X1,X2)
| g_false_only(esk11_2(X2,X3),X3)
| g_both(esk10_2(X2,X3),X3)
| g_true_only(esk9_2(X2,X3),X3)
| epred2_0
| ~ g_both(X4,X3)
| ~ g_both(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( g_false_only(X1,X2)
| ~ g_false_only(X1,esk2_1(esk2_1(X2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_15]),c_0_22]) ).
fof(c_0_39,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_40,plain,
! [X20,X21] :
( ( g_false(X20,X21)
| ~ g_false_only(X20,X21) )
& ( ~ g_true(X20,X21)
| ~ g_false_only(X20,X21) )
& ( ~ g_false(X20,X21)
| g_true(X20,X21)
| g_false_only(X20,X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
cnf(c_0_41,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_false_only(X1,esk8_0)
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0)
| g_true_only(X1,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,plain,
( epred2_0
| g_false_only(esk11_2(X1,esk2_1(esk1_0)),X1)
| g_false_only(X2,X1)
| g_both(esk10_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk11_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(esk9_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X2,X1)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_28]) ).
cnf(c_0_43,plain,
( epred2_0
| g_false_only(esk11_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(X2,X1)
| g_both(esk10_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk9_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X2,X1)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_28]) ).
cnf(c_0_44,negated_conjecture,
( g_false_only(esk2_1(esk2_1(esk2_1(X1))),esk1_0)
| g_false_only(esk2_1(esk2_1(esk2_1(X1))),X1)
| g_both(esk2_1(esk2_1(esk2_1(X1))),esk1_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_18]) ).
fof(c_0_45,plain,
! [X16,X17] :
( ( g_true(X16,X17)
| ~ g_true_only(X16,X17) )
& ( ~ g_false(X16,X17)
| ~ g_true_only(X16,X17) )
& ( ~ g_true(X16,X17)
| g_false(X16,X17)
| g_true_only(X16,X17) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
cnf(c_0_46,plain,
( g_false(X1,X2)
| ~ g_false_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_false_only(esk2_1(esk1_0),esk8_0)
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_41]) ).
cnf(c_0_48,plain,
( g_false_only(X1,X1)
| g_true_only(X1,esk8_0)
| g_false_only(esk7_1(X2),X2)
| g_both(esk6_1(X2),X2)
| g_both(esk5_1(X2),esk5_1(X2))
| g_false_only(esk5_1(X2),esk5_1(X2))
| epred1_0
| ~ g_both(X3,X2)
| ~ g_both(X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_49,negated_conjecture,
( epred2_0
| g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_false_only(X1,esk1_0)
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_35]) ).
cnf(c_0_50,negated_conjecture,
( epred2_0
| g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(X1,esk1_0)
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_35]) ).
cnf(c_0_51,negated_conjecture,
( g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0)
| g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0) ),
inference(ef,[status(thm)],[c_0_44]) ).
cnf(c_0_52,negated_conjecture,
( ~ g_true_only(X1,X1)
| ~ g_both(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_53,plain,
( ~ g_false(X1,X2)
| ~ g_true_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_54,negated_conjecture,
( epred1_0
| g_false(esk2_1(esk1_0),esk8_0)
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_55,plain,
( epred1_0
| g_false_only(esk5_1(X1),esk5_1(X1))
| g_false_only(esk7_1(X1),X1)
| g_false_only(X2,X2)
| g_both(esk5_1(X1),esk5_1(X1))
| g_both(esk6_1(X1),X1)
| g_true_only(X2,esk8_0)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_28]) ).
cnf(c_0_56,negated_conjecture,
( epred2_0
| g_false_only(X1,esk1_0)
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_49]),c_0_50]) ).
cnf(c_0_57,negated_conjecture,
~ g_true_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk2_1(esk1_0)))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_51]),c_0_52]) ).
cnf(c_0_58,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0)
| ~ g_true_only(esk2_1(esk1_0),esk8_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_false_only(X1,X1)
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0)
| g_true_only(X1,esk8_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_35]) ).
cnf(c_0_60,negated_conjecture,
( ~ g_true_only(X1,X2)
| ~ g_both(X1,esk2_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_61,negated_conjecture,
( epred2_0
| g_false_only(X1,esk1_0)
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_56]),c_0_50]) ).
cnf(c_0_62,negated_conjecture,
( ~ g_false_only(X1,X2)
| ~ g_both(X1,esk2_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_63,negated_conjecture,
( g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk2_1(esk1_0))))
| g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk2_1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_57,c_0_11]) ).
cnf(c_0_64,negated_conjecture,
~ g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk1_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_51]),c_0_22]) ).
cnf(c_0_65,plain,
( g_false_only(X1,esk8_0)
| g_true_only(X1,X1)
| g_true_only(esk7_1(X2),esk7_1(X2))
| g_both(esk7_1(X2),esk7_1(X2))
| g_both(esk6_1(X2),X2)
| g_both(esk5_1(X2),esk5_1(X2))
| g_false_only(esk5_1(X2),esk5_1(X2))
| epred1_0
| ~ g_both(X3,X2)
| ~ g_both(X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_66,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_25]) ).
cnf(c_0_67,negated_conjecture,
( epred2_0
| g_false_only(X1,esk1_0)
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X1,esk1_0)
| ~ g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_68,negated_conjecture,
( epred2_0
| g_false_only(X1,esk1_0)
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X1,esk1_0)
| ~ g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_61]) ).
cnf(c_0_69,negated_conjecture,
( g_false_only(X1,esk2_1(X2))
| g_false_only(X1,X2)
| g_both(X1,esk2_1(esk2_1(X2))) ),
inference(spm,[status(thm)],[c_0_38,c_0_15]) ).
cnf(c_0_70,negated_conjecture,
g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk2_1(esk1_0)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_63]),c_0_64]) ).
cnf(c_0_71,plain,
( epred1_0
| g_false_only(esk5_1(X1),esk5_1(X1))
| g_false_only(X2,esk8_0)
| g_both(esk5_1(X1),esk5_1(X1))
| g_both(esk7_1(X1),esk7_1(X1))
| g_both(esk6_1(X1),X1)
| g_true_only(esk7_1(X1),esk7_1(X1))
| g_true_only(X2,X2)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_28]) ).
cnf(c_0_72,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0)
| ~ g_true_only(esk7_1(esk1_0),esk7_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
( epred2_0
| g_false_only(X1,esk1_0)
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_11]),c_0_68]) ).
fof(c_0_74,plain,
! [X18,X19] :
( ( g_true(X18,X19)
| ~ g_both(X18,X19) )
& ( g_false(X18,X19)
| ~ g_both(X18,X19) )
& ( ~ g_true(X18,X19)
| ~ g_false(X18,X19)
| g_both(X18,X19) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[both_g])])]) ).
cnf(c_0_75,negated_conjecture,
( g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0)
| g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_64,c_0_69]) ).
cnf(c_0_76,negated_conjecture,
~ g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0),
inference(spm,[status(thm)],[c_0_27,c_0_70]) ).
cnf(c_0_77,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_false_only(X1,esk8_0)
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0)
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_35]),c_0_72]) ).
cnf(c_0_78,plain,
( ~ g_true(X1,X2)
| ~ g_false_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_79,negated_conjecture,
( epred2_0
| g_false_only(esk2_1(X1),esk1_0)
| g_false_only(esk2_1(X1),X1)
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_17,c_0_73]) ).
cnf(c_0_80,plain,
( g_true(X1,X2)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_81,negated_conjecture,
g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk1_0))),
inference(sr,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_82,negated_conjecture,
( epred1_0
| g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk8_0)
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_77]) ).
cnf(c_0_83,plain,
( g_false_only(X1,X1)
| g_true_only(X1,esk8_0)
| g_true_only(esk7_1(X2),esk7_1(X2))
| g_both(esk7_1(X2),esk7_1(X2))
| g_both(esk6_1(X2),X2)
| g_both(esk5_1(X2),esk5_1(X2))
| g_false_only(esk5_1(X2),esk5_1(X2))
| epred1_0
| ~ g_both(X3,X2)
| ~ g_both(X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_84,negated_conjecture,
( epred2_0
| g_false_only(esk2_1(X1),esk1_0)
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| ~ g_true(esk2_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_85,negated_conjecture,
g_true(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk1_0))),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_86,negated_conjecture,
( epred1_0
| g_false(esk2_1(esk2_1(esk2_1(esk1_0))),esk8_0)
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_82]) ).
cnf(c_0_87,plain,
( epred1_0
| g_false_only(esk5_1(X1),esk5_1(X1))
| g_false_only(X2,X2)
| g_both(esk5_1(X1),esk5_1(X1))
| g_both(esk7_1(X1),esk7_1(X1))
| g_both(esk6_1(X1),X1)
| g_true_only(esk7_1(X1),esk7_1(X1))
| g_true_only(X2,esk8_0)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_28]) ).
cnf(c_0_88,negated_conjecture,
( ~ g_false_only(X1,X1)
| ~ g_both(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_89,negated_conjecture,
g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0),
inference(sr,[status(thm)],[c_0_51,c_0_76]) ).
cnf(c_0_90,plain,
( g_false_only(X1,X1)
| g_true_only(X1,X1)
| g_false_only(esk7_1(X2),X2)
| g_both(esk6_1(X2),X2)
| g_true_only(esk5_1(X2),X2)
| epred1_0
| ~ g_both(X3,X2)
| ~ g_both(X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_91,negated_conjecture,
( epred2_0
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_76]) ).
cnf(c_0_92,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0)
| ~ g_true_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk8_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_86]) ).
cnf(c_0_93,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_false_only(X1,X1)
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0)
| g_true_only(X1,esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_35]),c_0_72]) ).
cnf(c_0_94,negated_conjecture,
~ g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk2_1(esk1_0)))),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_95,plain,
( epred1_0
| g_false_only(esk7_1(X1),X1)
| g_false_only(X2,X2)
| g_both(esk6_1(X1),X1)
| g_true_only(esk5_1(X1),X1)
| g_true_only(X2,X2)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_28]) ).
cnf(c_0_96,negated_conjecture,
( epred2_0
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| ~ g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_22,c_0_91]) ).
cnf(c_0_97,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).
cnf(c_0_98,negated_conjecture,
( epred1_0
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_false_only(X1,X1)
| g_both(esk6_1(esk1_0),esk1_0)
| g_true_only(esk5_1(esk1_0),esk1_0)
| g_true_only(X1,X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_35]) ).
cnf(c_0_99,plain,
( g_false(X1,X2)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_100,negated_conjecture,
( epred2_0
| g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_96,c_0_15]) ).
cnf(c_0_101,negated_conjecture,
( epred2_0
| g_true(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_80,c_0_91]) ).
cnf(c_0_102,negated_conjecture,
( epred1_0
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0)
| ~ g_true_only(esk5_1(esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_97]),c_0_16]) ).
cnf(c_0_103,negated_conjecture,
( epred1_0
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_both(esk6_1(esk1_0),esk1_0)
| g_true_only(esk5_1(esk1_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_98]),c_0_94]) ).
cnf(c_0_104,plain,
( g_true_only(X1,X2)
| g_false_only(X1,X2)
| g_false_only(esk11_2(X2,X3),X3)
| g_false_only(esk10_2(X2,X3),X2)
| g_true_only(esk10_2(X2,X3),X2)
| g_true_only(esk9_2(X2,X3),X3)
| epred2_0
| ~ g_both(X4,X3)
| ~ g_both(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_105,negated_conjecture,
( epred2_0
| g_false(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_99,c_0_91]) ).
cnf(c_0_106,negated_conjecture,
( epred2_0
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_100]),c_0_101]) ).
cnf(c_0_107,negated_conjecture,
( epred1_0
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_108,plain,
( epred2_0
| g_false_only(esk11_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(esk10_2(X1,esk2_1(esk1_0)),X1)
| g_false_only(X2,X1)
| g_true_only(esk9_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk10_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(X2,X1)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_28]) ).
cnf(c_0_109,negated_conjecture,
( epred2_0
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| ~ g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_105]) ).
cnf(c_0_110,negated_conjecture,
( epred2_0
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| ~ g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_106]) ).
cnf(c_0_111,negated_conjecture,
( epred1_0
| g_false(esk7_1(esk1_0),esk1_0)
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_107]) ).
cnf(c_0_112,plain,
( g_false_only(X1,X1)
| g_true_only(X1,X1)
| g_true_only(esk7_1(X2),esk7_1(X2))
| g_both(esk7_1(X2),esk7_1(X2))
| g_both(esk6_1(X2),X2)
| g_true_only(esk5_1(X2),X2)
| epred1_0
| ~ g_both(X3,X2)
| ~ g_both(X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_113,negated_conjecture,
( epred2_0
| g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(X1,esk1_0)
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_35]),c_0_109]),c_0_110]) ).
cnf(c_0_114,negated_conjecture,
( epred1_0
| g_both(esk6_1(esk1_0),esk1_0)
| ~ g_true_only(esk7_1(esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_111]),c_0_16]) ).
cnf(c_0_115,plain,
( epred1_0
| g_false_only(X1,X1)
| g_both(esk7_1(X2),esk7_1(X2))
| g_both(esk6_1(X2),X2)
| g_true_only(esk7_1(X2),esk7_1(X2))
| g_true_only(esk5_1(X2),X2)
| g_true_only(X1,X1)
| ~ g_both(esk2_1(esk1_0),X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_28]) ).
cnf(c_0_116,plain,
( g_true_only(X1,X2)
| g_false_only(X1,X2)
| g_false_only(esk11_2(X2,X3),X2)
| g_both(esk11_2(X2,X3),X2)
| g_false_only(esk10_2(X2,X3),X2)
| g_true_only(esk10_2(X2,X3),X2)
| g_true_only(esk9_2(X2,X3),X3)
| epred2_0
| ~ g_both(X4,X3)
| ~ g_both(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_117,negated_conjecture,
( epred2_0
| g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(esk2_1(X1),esk1_0)
| g_false_only(esk2_1(X1),X1)
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_17,c_0_113]) ).
cnf(c_0_118,negated_conjecture,
( epred1_0
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_both(esk7_1(esk1_0),esk1_0)
| g_both(esk6_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_114,c_0_11]) ).
cnf(c_0_119,negated_conjecture,
( epred1_0
| g_false_only(X1,X1)
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0)
| g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
| g_true_only(esk5_1(esk1_0),esk1_0)
| g_true_only(X1,X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_35]) ).
cnf(c_0_120,plain,
( epred2_0
| g_false_only(esk10_2(X1,esk2_1(esk1_0)),X1)
| g_false_only(esk11_2(X1,esk2_1(esk1_0)),X1)
| g_false_only(X2,X1)
| g_both(esk11_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(esk9_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk10_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(X2,X1)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_28]) ).
cnf(c_0_121,negated_conjecture,
( epred2_0
| g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(esk2_1(X1),esk1_0)
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| ~ g_true(esk2_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_117]) ).
cnf(c_0_122,negated_conjecture,
( epred1_0
| g_both(esk6_1(esk1_0),esk1_0)
| ~ g_true_only(esk7_1(esk1_0),esk7_1(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_118]),c_0_52]) ).
cnf(c_0_123,negated_conjecture,
( epred1_0
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0)
| g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
| g_true_only(esk5_1(esk1_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_119]),c_0_94]) ).
cnf(c_0_124,negated_conjecture,
( epred2_0
| g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_false_only(X1,esk1_0)
| g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_35]),c_0_109]),c_0_110]) ).
cnf(c_0_125,negated_conjecture,
( epred2_0
| g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_85]),c_0_76]) ).
cnf(c_0_126,negated_conjecture,
( epred1_0
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_102]) ).
cnf(c_0_127,negated_conjecture,
( epred2_0
| g_false_only(X1,esk1_0)
| g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_124]),c_0_125]) ).
cnf(c_0_128,negated_conjecture,
( epred1_0
| g_both(esk6_1(esk1_0),esk1_0)
| ~ g_false_only(esk7_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_126]) ).
cnf(c_0_129,negated_conjecture,
( epred2_0
| g_false_only(X1,esk1_0)
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_127]),c_0_125]) ).
cnf(c_0_130,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk6_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_128,c_0_66]) ).
cnf(c_0_131,negated_conjecture,
( epred2_0
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_129]),c_0_110]) ).
cnf(c_0_132,negated_conjecture,
( epred1_0
| g_both(esk6_1(esk1_0),esk1_0)
| ~ g_true_only(esk5_1(esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_130]),c_0_16]) ).
cnf(c_0_133,plain,
( g_false_only(X1,esk8_0)
| g_true_only(X1,X1)
| g_false_only(esk7_1(X2),X2)
| g_true_only(esk6_1(X2),esk6_1(X2))
| g_false_only(esk6_1(X2),esk6_1(X2))
| g_both(esk5_1(X2),esk5_1(X2))
| g_false_only(esk5_1(X2),esk5_1(X2))
| epred1_0
| ~ g_both(X3,X2)
| ~ g_both(X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_134,negated_conjecture,
( epred2_0
| g_false_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_131]) ).
cnf(c_0_135,negated_conjecture,
( epred1_0
| g_both(esk6_1(esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_103]),c_0_128]) ).
cnf(c_0_136,plain,
( epred1_0
| g_false_only(esk5_1(X1),esk5_1(X1))
| g_false_only(esk6_1(X1),esk6_1(X1))
| g_false_only(esk7_1(X1),X1)
| g_false_only(X2,esk8_0)
| g_both(esk5_1(X1),esk5_1(X1))
| g_true_only(esk6_1(X1),esk6_1(X1))
| g_true_only(X2,X2)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_133,c_0_28]) ).
cnf(c_0_137,plain,
( g_true_only(X1,X2)
| g_false_only(X1,X2)
| g_false_only(esk11_2(X2,X3),X2)
| g_both(esk11_2(X2,X3),X2)
| g_both(esk10_2(X2,X3),X3)
| g_both(esk9_2(X2,X3),X2)
| g_true_only(esk9_2(X2,X3),X2)
| epred2_0
| ~ g_both(X4,X3)
| ~ g_both(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_138,negated_conjecture,
( epred2_0
| g_false(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_134]) ).
cnf(c_0_139,negated_conjecture,
( epred1_0
| ~ g_true_only(esk6_1(esk1_0),esk6_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_52,c_0_135]) ).
cnf(c_0_140,negated_conjecture,
( epred1_0
| g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_false_only(X1,esk8_0)
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
| g_true_only(X1,X1) ),
inference(spm,[status(thm)],[c_0_136,c_0_35]) ).
cnf(c_0_141,negated_conjecture,
( epred1_0
| ~ g_false_only(esk6_1(esk1_0),esk6_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_88,c_0_135]) ).
cnf(c_0_142,plain,
( epred2_0
| g_false_only(esk11_2(X1,esk2_1(esk1_0)),X1)
| g_false_only(X2,X1)
| g_both(esk10_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk9_2(X1,esk2_1(esk1_0)),X1)
| g_both(esk11_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(esk9_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(X2,X1)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_137,c_0_28]) ).
cnf(c_0_143,negated_conjecture,
( epred2_0
| ~ g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_138]) ).
cnf(c_0_144,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_false_only(X1,esk8_0)
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]) ).
cnf(c_0_145,negated_conjecture,
( epred2_0
| g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_false_only(X1,esk1_0)
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_35]),c_0_143]) ).
cnf(c_0_146,negated_conjecture,
( epred1_0
| g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk8_0)
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_both(esk5_1(esk1_0),esk5_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_144]) ).
cnf(c_0_147,plain,
( g_false_only(X1,X1)
| g_true_only(X1,esk8_0)
| g_false_only(esk7_1(X2),X2)
| g_true_only(esk6_1(X2),esk6_1(X2))
| g_false_only(esk6_1(X2),esk6_1(X2))
| g_both(esk5_1(X2),esk5_1(X2))
| g_false_only(esk5_1(X2),esk5_1(X2))
| epred1_0
| ~ g_both(X3,X2)
| ~ g_both(X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_148,negated_conjecture,
( epred2_0
| g_false(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_false_only(X1,esk1_0)
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_145]),c_0_99]) ).
cnf(c_0_149,negated_conjecture,
( epred1_0
| g_false(esk2_1(esk2_1(esk2_1(esk1_0))),esk8_0)
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_both(esk5_1(esk1_0),esk5_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_46,c_0_146]) ).
cnf(c_0_150,plain,
( epred1_0
| g_false_only(esk5_1(X1),esk5_1(X1))
| g_false_only(esk6_1(X1),esk6_1(X1))
| g_false_only(esk7_1(X1),X1)
| g_false_only(X2,X2)
| g_both(esk5_1(X1),esk5_1(X1))
| g_true_only(esk6_1(X1),esk6_1(X1))
| g_true_only(X2,esk8_0)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_147,c_0_28]) ).
cnf(c_0_151,negated_conjecture,
( epred2_0
| g_false(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_false_only(esk2_1(X1),esk1_0)
| g_false_only(esk2_1(X1),X1)
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_148]) ).
cnf(c_0_152,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| ~ g_true_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk8_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_149]) ).
cnf(c_0_153,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_false_only(X1,X1)
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_true_only(X1,esk8_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_35]),c_0_139]),c_0_141]) ).
cnf(c_0_154,negated_conjecture,
( epred2_0
| g_false(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_false_only(esk2_1(X1),esk1_0)
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| ~ g_true(esk2_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_151]) ).
cnf(c_0_155,plain,
( g_false_only(X1,esk8_0)
| g_true_only(X1,X1)
| g_true_only(esk7_1(X2),esk7_1(X2))
| g_both(esk7_1(X2),esk7_1(X2))
| g_true_only(esk6_1(X2),esk6_1(X2))
| g_false_only(esk6_1(X2),esk6_1(X2))
| g_both(esk5_1(X2),esk5_1(X2))
| g_false_only(esk5_1(X2),esk5_1(X2))
| epred1_0
| ~ g_both(X3,X2)
| ~ g_both(X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_156,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_both(esk5_1(esk1_0),esk5_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_94]) ).
cnf(c_0_157,negated_conjecture,
( epred2_0
| g_false(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_85]),c_0_76]) ).
cnf(c_0_158,plain,
( epred1_0
| g_false_only(esk5_1(X1),esk5_1(X1))
| g_false_only(esk6_1(X1),esk6_1(X1))
| g_false_only(X2,esk8_0)
| g_both(esk5_1(X1),esk5_1(X1))
| g_both(esk7_1(X1),esk7_1(X1))
| g_true_only(esk6_1(X1),esk6_1(X1))
| g_true_only(esk7_1(X1),esk7_1(X1))
| g_true_only(X2,X2)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_28]) ).
cnf(c_0_159,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| ~ g_true_only(esk7_1(esk1_0),esk7_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_156]) ).
cnf(c_0_160,negated_conjecture,
( epred2_0
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| ~ g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_157]) ).
cnf(c_0_161,plain,
( g_true_only(X1,X2)
| g_false_only(X1,X2)
| g_false_only(esk11_2(X2,X3),X3)
| g_both(esk10_2(X2,X3),X3)
| g_both(esk9_2(X2,X3),X2)
| g_true_only(esk9_2(X2,X3),X2)
| epred2_0
| ~ g_both(X4,X3)
| ~ g_both(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_162,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_false_only(X1,esk8_0)
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_35]),c_0_159]),c_0_139]),c_0_141]) ).
cnf(c_0_163,negated_conjecture,
( epred2_0
| g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_160,c_0_11]) ).
cnf(c_0_164,plain,
( epred2_0
| g_false_only(esk11_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(X2,X1)
| g_both(esk10_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk9_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(esk9_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(X2,X1)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_161,c_0_28]) ).
cnf(c_0_165,negated_conjecture,
( epred1_0
| g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk8_0)
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk7_1(esk1_0),esk7_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_162]) ).
cnf(c_0_166,plain,
( g_false_only(X1,X1)
| g_true_only(X1,esk8_0)
| g_true_only(esk7_1(X2),esk7_1(X2))
| g_both(esk7_1(X2),esk7_1(X2))
| g_true_only(esk6_1(X2),esk6_1(X2))
| g_false_only(esk6_1(X2),esk6_1(X2))
| g_both(esk5_1(X2),esk5_1(X2))
| g_false_only(esk5_1(X2),esk5_1(X2))
| epred1_0
| ~ g_both(X3,X2)
| ~ g_both(X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_167,plain,
( g_false_only(X1,X1)
| g_true_only(X1,X1)
| g_false_only(esk7_1(X2),X2)
| g_true_only(esk6_1(X2),esk6_1(X2))
| g_false_only(esk6_1(X2),esk6_1(X2))
| g_true_only(esk5_1(X2),X2)
| epred1_0
| ~ g_both(X3,X2)
| ~ g_both(X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_168,negated_conjecture,
( epred2_0
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| ~ g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_163]),c_0_22]) ).
cnf(c_0_169,negated_conjecture,
( epred2_0
| g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(X1,esk1_0)
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_164,c_0_35]) ).
cnf(c_0_170,negated_conjecture,
( epred1_0
| g_false(esk2_1(esk2_1(esk2_1(esk1_0))),esk8_0)
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk5_1(esk1_0),esk5_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_46,c_0_165]) ).
cnf(c_0_171,plain,
( epred1_0
| g_false_only(esk5_1(X1),esk5_1(X1))
| g_false_only(esk6_1(X1),esk6_1(X1))
| g_false_only(X2,X2)
| g_both(esk5_1(X1),esk5_1(X1))
| g_both(esk7_1(X1),esk7_1(X1))
| g_true_only(esk6_1(X1),esk6_1(X1))
| g_true_only(esk7_1(X1),esk7_1(X1))
| g_true_only(X2,esk8_0)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_28]) ).
cnf(c_0_172,plain,
( epred1_0
| g_false_only(esk6_1(X1),esk6_1(X1))
| g_false_only(esk7_1(X1),X1)
| g_false_only(X2,X2)
| g_true_only(esk6_1(X1),esk6_1(X1))
| g_true_only(esk5_1(X1),X1)
| g_true_only(X2,X2)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_167,c_0_28]) ).
cnf(c_0_173,negated_conjecture,
( epred2_0
| g_false_only(X1,esk1_0)
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_143]) ).
cnf(c_0_174,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| ~ g_true_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk8_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_170]) ).
cnf(c_0_175,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_false_only(X1,X1)
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk5_1(esk1_0),esk5_1(esk1_0))
| g_true_only(X1,esk8_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_35]),c_0_159]),c_0_139]),c_0_141]) ).
cnf(c_0_176,negated_conjecture,
( epred1_0
| g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_false_only(X1,X1)
| g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
| g_true_only(esk5_1(esk1_0),esk1_0)
| g_true_only(X1,X1) ),
inference(spm,[status(thm)],[c_0_172,c_0_35]) ).
cnf(c_0_177,negated_conjecture,
( epred2_0
| g_false_only(esk2_1(X1),esk1_0)
| g_false_only(esk2_1(X1),X1)
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_173]) ).
cnf(c_0_178,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk5_1(esk1_0),esk5_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_94]) ).
cnf(c_0_179,negated_conjecture,
( epred1_0
| g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
| g_true_only(esk5_1(esk1_0),esk1_0) ),
inference(ef,[status(thm)],[c_0_176]) ).
cnf(c_0_180,negated_conjecture,
( epred2_0
| g_false_only(esk2_1(X1),esk1_0)
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| ~ g_true(esk2_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_177]) ).
cnf(c_0_181,negated_conjecture,
( epred1_0
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| ~ g_true_only(esk5_1(esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_178]),c_0_16]) ).
cnf(c_0_182,negated_conjecture,
( epred1_0
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_true_only(esk5_1(esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_179]),c_0_141]) ).
cnf(c_0_183,plain,
( g_true_only(X1,X2)
| g_true_only(X1,esk12_1(X2))
| g_false_only(esk11_2(X2,X3),X3)
| g_false_only(esk10_2(X2,X3),X2)
| g_true_only(esk10_2(X2,X3),X2)
| g_both(esk9_2(X2,X3),X2)
| g_true_only(esk9_2(X2,X3),X2)
| epred2_0
| ~ g_both(X4,X3)
| ~ g_both(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_184,negated_conjecture,
( epred2_0
| g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_85]),c_0_76]) ).
cnf(c_0_185,negated_conjecture,
( epred1_0
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_both(esk7_1(esk1_0),esk7_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_186,negated_conjecture,
( g_false_only(esk2_1(X1),esk1_0)
| ~ g_false_only(esk2_1(X1),esk2_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_18]),c_0_88]) ).
cnf(c_0_187,plain,
( g_false_only(X1,esk12_1(X2))
| g_false_only(X1,X2)
| g_false_only(esk11_2(X2,X3),X3)
| g_false_only(esk10_2(X2,X3),X2)
| g_true_only(esk10_2(X2,X3),X2)
| g_both(esk9_2(X2,X3),X2)
| g_true_only(esk9_2(X2,X3),X2)
| epred2_0
| ~ g_both(X4,X3)
| ~ g_both(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_188,plain,
( epred2_0
| g_false_only(esk11_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(esk10_2(X1,esk2_1(esk1_0)),X1)
| g_both(esk9_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(esk9_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(esk10_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(X2,esk12_1(X1))
| g_true_only(X2,X1)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_183,c_0_28]) ).
cnf(c_0_189,negated_conjecture,
( epred2_0
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| ~ g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_184]) ).
cnf(c_0_190,negated_conjecture,
( epred2_0
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| ~ g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_184]) ).
cnf(c_0_191,negated_conjecture,
( epred1_0
| g_false(esk7_1(esk1_0),esk1_0)
| g_both(esk7_1(esk1_0),esk7_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_46,c_0_185]) ).
cnf(c_0_192,plain,
( g_false_only(X1,X1)
| g_true_only(X1,X1)
| g_true_only(esk7_1(X2),esk7_1(X2))
| g_both(esk7_1(X2),esk7_1(X2))
| g_true_only(esk6_1(X2),esk6_1(X2))
| g_false_only(esk6_1(X2),esk6_1(X2))
| g_true_only(esk5_1(X2),X2)
| epred1_0
| ~ g_both(X3,X2)
| ~ g_both(X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_193,negated_conjecture,
( g_false_only(esk2_1(X1),esk1_0)
| g_false_only(esk2_1(X1),X1)
| g_both(esk2_1(X1),esk2_1(X1)) ),
inference(spm,[status(thm)],[c_0_186,c_0_15]) ).
cnf(c_0_194,plain,
( epred2_0
| g_false_only(esk11_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(esk10_2(X1,esk2_1(esk1_0)),X1)
| g_false_only(X2,esk12_1(X1))
| g_false_only(X2,X1)
| g_both(esk9_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(esk9_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(esk10_2(X1,esk2_1(esk1_0)),X1)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_187,c_0_28]) ).
cnf(c_0_195,plain,
( g_true(X1,X2)
| ~ g_true_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_196,negated_conjecture,
( epred2_0
| g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(X1,esk12_1(esk1_0))
| g_true_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_35]),c_0_189]),c_0_143]),c_0_190]) ).
cnf(c_0_197,negated_conjecture,
( epred1_0
| ~ g_true_only(esk7_1(esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_191]),c_0_16]) ).
cnf(c_0_198,plain,
( epred1_0
| g_false_only(esk6_1(X1),esk6_1(X1))
| g_false_only(X2,X2)
| g_both(esk7_1(X1),esk7_1(X1))
| g_true_only(esk6_1(X1),esk6_1(X1))
| g_true_only(esk7_1(X1),esk7_1(X1))
| g_true_only(esk5_1(X1),X1)
| g_true_only(X2,X2)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_192,c_0_28]) ).
cnf(c_0_199,negated_conjecture,
( g_false(esk2_1(X1),X1)
| g_false_only(esk2_1(X1),esk1_0)
| g_both(esk2_1(X1),esk2_1(X1)) ),
inference(spm,[status(thm)],[c_0_46,c_0_193]) ).
cnf(c_0_200,negated_conjecture,
( epred2_0
| g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(X1,esk12_1(esk1_0))
| g_false_only(X1,esk1_0)
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_35]),c_0_189]),c_0_143]),c_0_190]) ).
cnf(c_0_201,negated_conjecture,
( epred2_0
| g_true(X1,esk12_1(esk1_0))
| g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_202,negated_conjecture,
( epred1_0
| g_false_only(esk7_1(esk1_0),esk1_0)
| g_both(esk7_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_197,c_0_11]) ).
cnf(c_0_203,negated_conjecture,
( epred1_0
| g_false_only(X1,X1)
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
| g_true_only(esk5_1(esk1_0),esk1_0)
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_35]),c_0_139]),c_0_141]) ).
cnf(c_0_204,negated_conjecture,
( g_false_only(esk2_1(X1),esk1_0)
| ~ g_true_only(esk2_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_199]),c_0_60]) ).
cnf(c_0_205,negated_conjecture,
( epred2_0
| g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(X1,esk1_0)
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| ~ g_true(X1,esk12_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_78,c_0_200]) ).
cnf(c_0_206,negated_conjecture,
( epred2_0
| g_true(esk2_1(X1),esk12_1(esk1_0))
| g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(esk2_1(X1),X1)
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_201]) ).
cnf(c_0_207,negated_conjecture,
( epred1_0
| ~ g_true_only(esk7_1(esk1_0),esk7_1(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_202]),c_0_52]) ).
cnf(c_0_208,negated_conjecture,
( epred1_0
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
| g_true_only(esk5_1(esk1_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_203]),c_0_94]) ).
cnf(c_0_209,negated_conjecture,
( g_false_only(esk2_1(X1),esk1_0)
| g_false_only(esk2_1(X1),X1)
| g_both(esk2_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_204,c_0_11]) ).
cnf(c_0_210,plain,
( g_true_only(X1,X2)
| g_false_only(X1,X2)
| g_false_only(esk11_2(X2,X3),X2)
| g_both(esk11_2(X2,X3),X2)
| g_false_only(esk10_2(X2,X3),X2)
| g_true_only(esk10_2(X2,X3),X2)
| g_both(esk9_2(X2,X3),X2)
| g_true_only(esk9_2(X2,X3),X2)
| epred2_0
| ~ g_both(X4,X3)
| ~ g_both(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_211,negated_conjecture,
( epred2_0
| g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(esk2_1(X1),esk1_0)
| g_false_only(esk2_1(X1),X1)
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_212,negated_conjecture,
( epred1_0
| g_both(esk7_1(esk1_0),esk7_1(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_181]) ).
cnf(c_0_213,negated_conjecture,
( g_false_only(esk2_1(esk2_1(esk2_1(X1))),esk1_0)
| g_false_only(esk2_1(esk2_1(esk2_1(X1))),X1)
| g_both(esk2_1(esk2_1(esk2_1(X1))),esk2_1(esk2_1(X1))) ),
inference(spm,[status(thm)],[c_0_38,c_0_209]) ).
cnf(c_0_214,plain,
( epred2_0
| g_false_only(esk10_2(X1,esk2_1(esk1_0)),X1)
| g_false_only(esk11_2(X1,esk2_1(esk1_0)),X1)
| g_false_only(X2,X1)
| g_both(esk9_2(X1,esk2_1(esk1_0)),X1)
| g_both(esk11_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(esk9_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(esk10_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(X2,X1)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_210,c_0_28]) ).
cnf(c_0_215,negated_conjecture,
( epred2_0
| g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(esk2_1(X1),X1)
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| ~ g_true(esk2_1(X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_211]) ).
cnf(c_0_216,negated_conjecture,
g_true(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0),
inference(spm,[status(thm)],[c_0_80,c_0_89]) ).
cnf(c_0_217,negated_conjecture,
~ g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk1_0))),
inference(spm,[status(thm)],[c_0_62,c_0_70]) ).
cnf(c_0_218,negated_conjecture,
( epred1_0
| ~ g_false_only(esk7_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_212]) ).
cnf(c_0_219,negated_conjecture,
( g_false_only(esk2_1(esk2_1(esk2_1(X1))),esk1_0)
| ~ g_false_only(esk2_1(esk2_1(esk2_1(X1))),esk2_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_213]),c_0_62]) ).
cnf(c_0_220,negated_conjecture,
( epred2_0
| g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_false_only(X1,esk1_0)
| g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_35]),c_0_189]),c_0_143]),c_0_190]) ).
cnf(c_0_221,negated_conjecture,
( epred2_0
| g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_217]) ).
cnf(c_0_222,negated_conjecture,
( epred1_0
| g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
| g_both(esk5_1(esk1_0),esk5_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_218,c_0_156]) ).
cnf(c_0_223,negated_conjecture,
( g_false_only(esk2_1(esk2_1(esk2_1(X1))),esk1_0)
| g_false_only(esk2_1(esk2_1(esk2_1(X1))),X1)
| g_both(esk2_1(esk2_1(esk2_1(X1))),esk2_1(X1)) ),
inference(spm,[status(thm)],[c_0_219,c_0_15]) ).
cnf(c_0_224,negated_conjecture,
( epred2_0
| g_false_only(X1,esk1_0)
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_220]),c_0_221]) ).
cnf(c_0_225,negated_conjecture,
( epred1_0
| ~ g_true_only(esk5_1(esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_222]),c_0_16]) ).
cnf(c_0_226,negated_conjecture,
( g_false(esk2_1(esk2_1(esk2_1(X1))),X1)
| g_false_only(esk2_1(esk2_1(esk2_1(X1))),esk1_0)
| g_both(esk2_1(esk2_1(esk2_1(X1))),esk2_1(X1)) ),
inference(spm,[status(thm)],[c_0_46,c_0_223]) ).
cnf(c_0_227,negated_conjecture,
( epred2_0
| g_false_only(X1,esk1_0)
| g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_224]),c_0_221]) ).
cnf(c_0_228,negated_conjecture,
( g_false_only(esk4_1(X1),X1)
| g_both(esk4_1(X1),X1)
| g_both(esk4_1(X1),esk3_0)
| g_true_only(esk4_1(X1),esk3_0)
| ~ epred1_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_229,negated_conjecture,
epred1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_182]),c_0_218]) ).
cnf(c_0_230,negated_conjecture,
( g_false_only(esk2_1(esk2_1(esk2_1(X1))),esk1_0)
| ~ g_true_only(esk2_1(esk2_1(esk2_1(X1))),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_226]),c_0_60]) ).
cnf(c_0_231,negated_conjecture,
( epred2_0
| g_false_only(X1,esk1_0)
| g_true_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_227]),c_0_131]) ).
cnf(c_0_232,negated_conjecture,
( g_false_only(esk4_1(X1),X1)
| g_both(esk4_1(X1),esk3_0)
| g_both(esk4_1(X1),X1)
| g_true_only(esk4_1(X1),esk3_0)
| ~ epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_229])]) ).
cnf(c_0_233,negated_conjecture,
epred2_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_76]) ).
cnf(c_0_234,negated_conjecture,
( g_false_only(esk4_1(X1),X1)
| g_both(esk4_1(X1),esk3_0)
| g_both(esk4_1(X1),X1)
| g_true_only(esk4_1(X1),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_233])]) ).
cnf(c_0_235,negated_conjecture,
( g_false_only(esk4_1(X1),X1)
| g_both(esk4_1(X1),X1)
| ~ g_true_only(esk4_1(X1),esk2_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_234]),c_0_12]) ).
cnf(c_0_236,negated_conjecture,
( g_false_only(esk4_1(X1),esk3_0)
| g_both(esk4_1(X1),esk3_0)
| g_both(esk4_1(X1),X1)
| g_true_only(esk4_1(X1),X1)
| ~ epred1_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_237,negated_conjecture,
( g_false_only(esk4_1(X1),esk2_1(esk3_0))
| g_false_only(esk4_1(X1),X1)
| g_both(esk4_1(X1),esk2_1(esk3_0))
| g_both(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_235,c_0_11]) ).
cnf(c_0_238,negated_conjecture,
( g_false_only(esk4_1(X1),esk3_0)
| g_both(esk4_1(X1),esk3_0)
| g_both(esk4_1(X1),X1)
| g_true_only(esk4_1(X1),X1)
| ~ epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_229])]) ).
cnf(c_0_239,negated_conjecture,
( g_false_only(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0))
| g_both(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0)) ),
inference(ef,[status(thm)],[c_0_237]) ).
cnf(c_0_240,negated_conjecture,
( g_false_only(esk4_1(X1),esk3_0)
| g_both(esk4_1(X1),esk3_0)
| g_both(esk4_1(X1),X1)
| g_true_only(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_233])]) ).
cnf(c_0_241,negated_conjecture,
( g_both(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0))
| ~ g_true(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_78,c_0_239]) ).
cnf(c_0_242,negated_conjecture,
( g_true(esk4_1(X1),X1)
| g_false_only(esk4_1(X1),esk3_0)
| g_both(esk4_1(X1),esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_240]),c_0_80]) ).
cnf(c_0_243,negated_conjecture,
( g_false_only(esk4_1(esk2_1(esk3_0)),esk3_0)
| g_both(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0))
| g_both(esk4_1(esk2_1(esk3_0)),esk3_0) ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_244,negated_conjecture,
( g_both(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0))
| g_both(esk4_1(esk2_1(esk3_0)),esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_243]),c_0_239]) ).
cnf(c_0_245,negated_conjecture,
( g_both(esk4_1(esk2_1(esk3_0)),esk3_0)
| ~ g_true_only(esk4_1(esk2_1(esk3_0)),esk3_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_244]) ).
cnf(c_0_246,negated_conjecture,
( g_both(esk4_1(esk2_1(esk3_0)),esk3_0)
| ~ g_false_only(esk4_1(esk2_1(esk3_0)),esk3_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_244]) ).
cnf(c_0_247,negated_conjecture,
g_both(esk4_1(esk2_1(esk3_0)),esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_11]),c_0_246]) ).
cnf(c_0_248,negated_conjecture,
( g_false_only(esk4_1(X1),X1)
| g_false_only(esk4_1(X1),esk3_0)
| g_true_only(esk4_1(X1),esk3_0)
| g_true_only(esk4_1(X1),X1)
| ~ epred1_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_249,negated_conjecture,
~ g_false_only(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0)),
inference(spm,[status(thm)],[c_0_22,c_0_247]) ).
cnf(c_0_250,negated_conjecture,
g_false(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_239]),c_0_99]) ).
cnf(c_0_251,negated_conjecture,
( g_false_only(esk4_1(X1),esk3_0)
| g_false_only(esk4_1(X1),X1)
| g_true_only(esk4_1(X1),esk3_0)
| g_true_only(esk4_1(X1),X1)
| ~ epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_229])]) ).
cnf(c_0_252,negated_conjecture,
g_both(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0)),
inference(sr,[status(thm)],[c_0_239,c_0_249]) ).
cnf(c_0_253,negated_conjecture,
g_false(esk4_1(esk2_1(esk3_0)),esk3_0),
inference(spm,[status(thm)],[c_0_99,c_0_247]) ).
cnf(c_0_254,negated_conjecture,
~ g_true_only(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0)),
inference(spm,[status(thm)],[c_0_53,c_0_250]) ).
cnf(c_0_255,negated_conjecture,
( g_false_only(esk4_1(X1),esk3_0)
| g_false_only(esk4_1(X1),X1)
| g_true_only(esk4_1(X1),esk3_0)
| g_true_only(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_233])]) ).
cnf(c_0_256,negated_conjecture,
~ g_false_only(esk4_1(esk2_1(esk3_0)),esk3_0),
inference(spm,[status(thm)],[c_0_62,c_0_252]) ).
cnf(c_0_257,negated_conjecture,
~ g_true_only(esk4_1(esk2_1(esk3_0)),esk3_0),
inference(spm,[status(thm)],[c_0_53,c_0_253]) ).
cnf(c_0_258,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256]),c_0_249]),c_0_257]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO605+1 : TPTP v8.1.2. Released v7.0.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 03:00:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.56 start to proof: theBenchmark
% 4.21/4.28 % Version : CSE_E---1.5
% 4.21/4.28 % Problem : theBenchmark.p
% 4.21/4.28 % Proof found
% 4.21/4.28 % SZS status Theorem for theBenchmark.p
% 4.21/4.28 % SZS output start Proof
% See solution above
% 4.21/4.29 % Total time : 3.704000 s
% 4.21/4.30 % SZS output end Proof
% 4.21/4.30 % Total time : 3.708000 s
%------------------------------------------------------------------------------