TSTP Solution File: SEV028^5 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV028^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 17:34:25 EDT 2022
% Result : Theorem 0.40s 0.61s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 16
% Syntax : Number of formulae : 482 ( 112 unt; 15 typ; 0 def)
% Number of atoms : 4637 (1817 equ; 0 cnn)
% Maximal formula atoms : 10 ( 9 avg)
% Number of connectives : 9252 (1506 ~;1947 |; 79 &;5673 @)
% ( 12 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 376 ( 376 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 1504 ( 0 ^1484 !; 20 ?;1504 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_cQ,type,
cQ: a > a > $o ).
thf(tp_sK10_Xp,type,
sK10_Xp: a > a > $o ).
thf(tp_sK11_SY32,type,
sK11_SY32: a > a ).
thf(tp_sK12_Xx0,type,
sK12_Xx0: ( a > $o ) > a > a ).
thf(tp_sK13_SY33,type,
sK13_SY33: ( a > $o ) > a > a ).
thf(tp_sK1_Xx,type,
sK1_Xx: a ).
thf(tp_sK2_Xx,type,
sK2_Xx: a ).
thf(tp_sK3_SY20,type,
sK3_SY20: a ).
thf(tp_sK4_Xx,type,
sK4_Xx: a ).
thf(tp_sK5_SY21,type,
sK5_SY21: a ).
thf(tp_sK6_SY23,type,
sK6_SY23: a ).
thf(tp_sK7_Xz,type,
sK7_Xz: ( a > $o ) > a ).
thf(tp_sK8_Xx,type,
sK8_Xx: ( a > $o ) > a ).
thf(tp_sK9_SY24,type,
sK9_SY24: ( a > $o ) > a ).
thf(1,conjecture,
( ( ! [Xp: a > $o] :
( ( ? [Xz: a] : ( Xp @ Xz )
& ! [Xx: a] :
( ( Xp @ Xx )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( cQ @ Xx @ Xy ) ) ) )
=> ? [Xz: a] : ( Xp @ Xz ) )
& ! [Xx: a] :
? [Xp: a > $o] :
( ? [Xz: a] : ( Xp @ Xz )
& ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( cQ @ Xx0 @ Xy ) ) )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ? [Xz: a] : ( Xq @ Xz )
& ! [Xx0: a] :
( ( Xq @ Xx0 )
=> ! [Xy: a] :
( ( Xq @ Xy )
<=> ( cQ @ Xx0 @ Xy ) ) )
& ( Xq @ Xx ) )
=> ( Xq = Xp ) ) ) )
=> ( ! [Xx: a] : ( cQ @ Xx @ Xx )
& ! [Xx: a,Xy: a] :
( ( cQ @ Xx @ Xy )
=> ( cQ @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( cQ @ Xx @ Xy )
& ( cQ @ Xy @ Xz ) )
=> ( cQ @ Xx @ Xz ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM558_pme) ).
thf(2,negated_conjecture,
( ( ( ! [Xp: a > $o] :
( ( ? [Xz: a] : ( Xp @ Xz )
& ! [Xx: a] :
( ( Xp @ Xx )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( cQ @ Xx @ Xy ) ) ) )
=> ? [Xz: a] : ( Xp @ Xz ) )
& ! [Xx: a] :
? [Xp: a > $o] :
( ? [Xz: a] : ( Xp @ Xz )
& ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( cQ @ Xx0 @ Xy ) ) )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ? [Xz: a] : ( Xq @ Xz )
& ! [Xx0: a] :
( ( Xq @ Xx0 )
=> ! [Xy: a] :
( ( Xq @ Xy )
<=> ( cQ @ Xx0 @ Xy ) ) )
& ( Xq @ Xx ) )
=> ( Xq = Xp ) ) ) )
=> ( ! [Xx: a] : ( cQ @ Xx @ Xx )
& ! [Xx: a,Xy: a] :
( ( cQ @ Xx @ Xy )
=> ( cQ @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( cQ @ Xx @ Xy )
& ( cQ @ Xy @ Xz ) )
=> ( cQ @ Xx @ Xz ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ! [Xp: a > $o] :
( ( ? [Xz: a] : ( Xp @ Xz )
& ! [Xx: a] :
( ( Xp @ Xx )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( cQ @ Xx @ Xy ) ) ) )
=> ? [Xz: a] : ( Xp @ Xz ) )
& ! [Xx: a] :
? [Xp: a > $o] :
( ? [Xz: a] : ( Xp @ Xz )
& ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( cQ @ Xx0 @ Xy ) ) )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ? [Xz: a] : ( Xq @ Xz )
& ! [Xx0: a] :
( ( Xq @ Xx0 )
=> ! [Xy: a] :
( ( Xq @ Xy )
<=> ( cQ @ Xx0 @ Xy ) ) )
& ( Xq @ Xx ) )
=> ( Xq = Xp ) ) ) )
=> ( ! [Xx: a] : ( cQ @ Xx @ Xx )
& ! [Xx: a,Xy: a] :
( ( cQ @ Xx @ Xy )
=> ( cQ @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( cQ @ Xx @ Xy )
& ( cQ @ Xy @ Xz ) )
=> ( cQ @ Xx @ Xz ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xp: a > $o] :
( ( ? [Xz: a] : ( Xp @ Xz )
& ! [Xx: a] :
( ( Xp @ Xx )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( cQ @ Xx @ Xy ) ) ) )
=> ? [Xz: a] : ( Xp @ Xz ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xx: a] :
? [Xp: a > $o] :
( ? [Xz: a] : ( Xp @ Xz )
& ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( cQ @ Xx0 @ Xy ) ) )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ? [Xz: a] : ( Xq @ Xz )
& ! [Xx0: a] :
( ( Xq @ Xx0 )
=> ! [Xy: a] :
( ( Xq @ Xy )
<=> ( cQ @ Xx0 @ Xy ) ) )
& ( Xq @ Xx ) )
=> ( Xq = Xp ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [Xx: a] : ( cQ @ Xx @ Xx )
& ! [Xx: a,Xy: a] :
( ( cQ @ Xx @ Xy )
=> ( cQ @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( cQ @ Xx @ Xy )
& ( cQ @ Xy @ Xz ) )
=> ( cQ @ Xx @ Xz ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [Xx: a] : ( cQ @ Xx @ Xx ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[6]) ).
thf(8,plain,
( ( ! [Xx: a,Xy: a] :
( ( cQ @ Xx @ Xy )
=> ( cQ @ Xy @ Xx ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[6]) ).
thf(9,plain,
( ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( cQ @ Xx @ Xy )
& ( cQ @ Xy @ Xz ) )
=> ( cQ @ Xx @ Xz ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[6]) ).
thf(10,plain,
( ( ~ ! [Xx: a] : ( cQ @ Xx @ Xx ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ! [Xx: a,Xy: a] :
( ( cQ @ Xx @ Xy )
=> ( cQ @ Xy @ Xx ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ! [Xx: a,Xy: a,Xz: a] :
( ( ( cQ @ Xx @ Xy )
& ( cQ @ Xy @ Xz ) )
=> ( cQ @ Xx @ Xz ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(13,plain,
( ( ~ ( cQ @ sK1_Xx @ sK1_Xx ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(14,plain,
( ( ( cQ @ sK2_Xx @ sK3_SY20 )
& ~ ( cQ @ sK3_SY20 @ sK2_Xx ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(15,plain,
( ( ( cQ @ sK4_Xx @ sK5_SY21 )
& ( cQ @ sK5_SY21 @ sK6_SY23 )
& ~ ( cQ @ sK4_Xx @ sK6_SY23 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(16,plain,
( ( ! [Xp: a > $o] :
( ( ( Xp @ ( sK8_Xx @ Xp ) )
& ( ~ ( Xp @ ( sK9_SY24 @ Xp ) )
| ~ ( cQ @ ( sK8_Xx @ Xp ) @ ( sK9_SY24 @ Xp ) ) )
& ( ( Xp @ ( sK9_SY24 @ Xp ) )
| ( cQ @ ( sK8_Xx @ Xp ) @ ( sK9_SY24 @ Xp ) ) ) )
| ! [Xz: a] :
~ ( Xp @ Xz )
| ( Xp @ ( sK7_Xz @ Xp ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(17,plain,
( ( ! [Xx: a] :
( ! [SY25: a > $o] :
( ( ( SY25 @ ( sK12_Xx0 @ SY25 @ Xx ) )
& ( ~ ( SY25 @ ( sK13_SY33 @ SY25 @ Xx ) )
| ~ ( cQ @ ( sK12_Xx0 @ SY25 @ Xx ) @ ( sK13_SY33 @ SY25 @ Xx ) ) )
& ( ( SY25 @ ( sK13_SY33 @ SY25 @ Xx ) )
| ( cQ @ ( sK12_Xx0 @ SY25 @ Xx ) @ ( sK13_SY33 @ SY25 @ Xx ) ) ) )
| ! [Xz: a] :
~ ( SY25 @ Xz )
| ~ ( SY25 @ Xx )
| ( SY25
= ( sK10_Xp @ Xx ) ) )
& ! [SY29: a] :
( ~ ( sK10_Xp @ Xx @ SY29 )
| ( ! [SY30: a] :
( ~ ( sK10_Xp @ Xx @ SY30 )
| ( cQ @ SY29 @ SY30 ) )
& ! [SY31: a] :
( ~ ( cQ @ SY29 @ SY31 )
| ( sK10_Xp @ Xx @ SY31 ) ) ) )
& ( sK10_Xp @ Xx @ ( sK11_SY32 @ Xx ) )
& ( sK10_Xp @ Xx @ Xx ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(18,plain,
( ( ! [Xx: a] :
( ! [SY25: a > $o] :
( ( ( SY25 @ ( sK12_Xx0 @ SY25 @ Xx ) )
& ( ~ ( SY25 @ ( sK13_SY33 @ SY25 @ Xx ) )
| ~ ( cQ @ ( sK12_Xx0 @ SY25 @ Xx ) @ ( sK13_SY33 @ SY25 @ Xx ) ) )
& ( ( SY25 @ ( sK13_SY33 @ SY25 @ Xx ) )
| ( cQ @ ( sK12_Xx0 @ SY25 @ Xx ) @ ( sK13_SY33 @ SY25 @ Xx ) ) ) )
| ! [Xz: a] :
~ ( SY25 @ Xz )
| ~ ( SY25 @ Xx )
| ( SY25
= ( sK10_Xp @ Xx ) ) )
& ! [SY29: a] :
( ~ ( sK10_Xp @ Xx @ SY29 )
| ( ! [SY30: a] :
( ~ ( sK10_Xp @ Xx @ SY30 )
| ( cQ @ SY29 @ SY30 ) )
& ! [SY31: a] :
( ~ ( cQ @ SY29 @ SY31 )
| ( sK10_Xp @ Xx @ SY31 ) ) ) )
& ( sK10_Xp @ Xx @ ( sK11_SY32 @ Xx ) )
& ( sK10_Xp @ Xx @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(19,plain,
( ( ! [Xp: a > $o] :
( ( ( Xp @ ( sK8_Xx @ Xp ) )
& ( ~ ( Xp @ ( sK9_SY24 @ Xp ) )
| ~ ( cQ @ ( sK8_Xx @ Xp ) @ ( sK9_SY24 @ Xp ) ) )
& ( ( Xp @ ( sK9_SY24 @ Xp ) )
| ( cQ @ ( sK8_Xx @ Xp ) @ ( sK9_SY24 @ Xp ) ) ) )
| ! [Xz: a] :
~ ( Xp @ Xz )
| ( Xp @ ( sK7_Xz @ Xp ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(20,plain,
( ( ~ ( cQ @ sK1_Xx @ sK1_Xx ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(21,plain,
( ( ! [SX0: a > $o] :
( ~ ( ~ ( SX0 @ ( sK8_Xx @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK9_SY24 @ SX0 ) )
| ~ ( cQ @ ( sK8_Xx @ SX0 ) @ ( sK9_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK9_SY24 @ SX0 ) )
| ( cQ @ ( sK8_Xx @ SX0 ) @ ( sK9_SY24 @ SX0 ) ) ) ) )
| ! [SX1: a] :
~ ( SX0 @ SX1 )
| ( SX0 @ ( sK7_Xz @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(22,plain,
( ( ! [SX0: a] :
~ ( ~ ! [SX1: a > $o] :
( ~ ( ~ ( SX1 @ ( sK12_Xx0 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX1 @ ( sK13_SY33 @ SX1 @ SX0 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SX1 @ SX0 ) @ ( sK13_SY33 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK13_SY33 @ SX1 @ SX0 ) )
| ( cQ @ ( sK12_Xx0 @ SX1 @ SX0 ) @ ( sK13_SY33 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: a] :
~ ( SX1 @ SX2 )
| ~ ( SX1 @ SX0 )
| ( SX1
= ( sK10_Xp @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK10_Xp @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: a] :
( ~ ( sK10_Xp @ SX0 @ SX2 )
| ( cQ @ SX1 @ SX2 ) )
| ~ ! [SX2: a] :
( ~ ( cQ @ SX1 @ SX2 )
| ( sK10_Xp @ SX0 @ SX2 ) ) ) )
| ~ ( sK10_Xp @ SX0 @ ( sK11_SY32 @ SX0 ) ) )
| ~ ( sK10_Xp @ SX0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(23,plain,
( ( cQ @ sK1_Xx @ sK1_Xx )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV1: a > $o] :
( ( ~ ( ~ ( SV1 @ ( sK8_Xx @ SV1 ) )
| ~ ~ ( ~ ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) )
| ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
| ~ ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
| ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) ) ) )
| ! [SY34: a] :
~ ( SV1 @ SY34 )
| ( SV1 @ ( sK7_Xz @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(25,plain,
! [SV2: a] :
( ( ~ ( ~ ! [SY35: a > $o] :
( ~ ( ~ ( SY35 @ ( sK12_Xx0 @ SY35 @ SV2 ) )
| ~ ~ ( ~ ( ~ ( SY35 @ ( sK13_SY33 @ SY35 @ SV2 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SY35 @ SV2 ) @ ( sK13_SY33 @ SY35 @ SV2 ) ) )
| ~ ( ( SY35 @ ( sK13_SY33 @ SY35 @ SV2 ) )
| ( cQ @ ( sK12_Xx0 @ SY35 @ SV2 ) @ ( sK13_SY33 @ SY35 @ SV2 ) ) ) ) )
| ! [SX2: a] :
~ ( SY35 @ SX2 )
| ~ ( SY35 @ SV2 )
| ( SY35
= ( sK10_Xp @ SV2 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY37: a] :
( ~ ( sK10_Xp @ SV2 @ SY37 )
| ~ ( ~ ! [SY38: a] :
( ~ ( sK10_Xp @ SV2 @ SY38 )
| ( cQ @ SY37 @ SY38 ) )
| ~ ! [SY39: a] :
( ~ ( cQ @ SY37 @ SY39 )
| ( sK10_Xp @ SV2 @ SY39 ) ) ) )
| ~ ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) ) )
| ~ ( sK10_Xp @ SV2 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV1: a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK8_Xx @ SV1 ) )
| ~ ~ ( ~ ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) )
| ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
| ~ ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
| ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) ) ) )
| ! [SY34: a] :
~ ( SV1 @ SY34 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(27,plain,
! [SV2: a] :
( ( ~ ! [SY35: a > $o] :
( ~ ( ~ ( SY35 @ ( sK12_Xx0 @ SY35 @ SV2 ) )
| ~ ~ ( ~ ( ~ ( SY35 @ ( sK13_SY33 @ SY35 @ SV2 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SY35 @ SV2 ) @ ( sK13_SY33 @ SY35 @ SV2 ) ) )
| ~ ( ( SY35 @ ( sK13_SY33 @ SY35 @ SV2 ) )
| ( cQ @ ( sK12_Xx0 @ SY35 @ SV2 ) @ ( sK13_SY33 @ SY35 @ SV2 ) ) ) ) )
| ! [SX2: a] :
~ ( SY35 @ SX2 )
| ~ ( SY35 @ SV2 )
| ( SY35
= ( sK10_Xp @ SV2 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY37: a] :
( ~ ( sK10_Xp @ SV2 @ SY37 )
| ~ ( ~ ! [SY38: a] :
( ~ ( sK10_Xp @ SV2 @ SY38 )
| ( cQ @ SY37 @ SY38 ) )
| ~ ! [SY39: a] :
( ~ ( cQ @ SY37 @ SY39 )
| ( sK10_Xp @ SV2 @ SY39 ) ) ) )
| ~ ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) ) )
| ~ ( sK10_Xp @ SV2 @ SV2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(28,plain,
! [SV1: a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK8_Xx @ SV1 ) )
| ~ ~ ( ~ ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) )
| ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
| ~ ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
| ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) ) ) ) )
= $true )
| ( ( ! [SY34: a] :
~ ( SV1 @ SY34 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(29,plain,
! [SV2: a] :
( ( ~ ! [SY35: a > $o] :
( ~ ( ~ ( SY35 @ ( sK12_Xx0 @ SY35 @ SV2 ) )
| ~ ~ ( ~ ( ~ ( SY35 @ ( sK13_SY33 @ SY35 @ SV2 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SY35 @ SV2 ) @ ( sK13_SY33 @ SY35 @ SV2 ) ) )
| ~ ( ( SY35 @ ( sK13_SY33 @ SY35 @ SV2 ) )
| ( cQ @ ( sK12_Xx0 @ SY35 @ SV2 ) @ ( sK13_SY33 @ SY35 @ SV2 ) ) ) ) )
| ! [SX2: a] :
~ ( SY35 @ SX2 )
| ~ ( SY35 @ SV2 )
| ( SY35
= ( sK10_Xp @ SV2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(30,plain,
! [SV2: a] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY37: a] :
( ~ ( sK10_Xp @ SV2 @ SY37 )
| ~ ( ~ ! [SY38: a] :
( ~ ( sK10_Xp @ SV2 @ SY38 )
| ( cQ @ SY37 @ SY38 ) )
| ~ ! [SY39: a] :
( ~ ( cQ @ SY37 @ SY39 )
| ( sK10_Xp @ SV2 @ SY39 ) ) ) )
| ~ ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) ) )
| ~ ( sK10_Xp @ SV2 @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(31,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK8_Xx @ SV1 ) )
| ~ ~ ( ~ ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) )
| ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
| ~ ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
| ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) ) ) )
= $false )
| ( ( ! [SY34: a] :
~ ( SV1 @ SY34 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV2: a] :
( ( ! [SY35: a > $o] :
( ~ ( ~ ( SY35 @ ( sK12_Xx0 @ SY35 @ SV2 ) )
| ~ ~ ( ~ ( ~ ( SY35 @ ( sK13_SY33 @ SY35 @ SV2 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SY35 @ SV2 ) @ ( sK13_SY33 @ SY35 @ SV2 ) ) )
| ~ ( ( SY35 @ ( sK13_SY33 @ SY35 @ SV2 ) )
| ( cQ @ ( sK12_Xx0 @ SY35 @ SV2 ) @ ( sK13_SY33 @ SY35 @ SV2 ) ) ) ) )
| ! [SX2: a] :
~ ( SY35 @ SX2 )
| ~ ( SY35 @ SV2 )
| ( SY35
= ( sK10_Xp @ SV2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(33,plain,
! [SV2: a] :
( ( ~ ( ~ ~ ( ~ ! [SY37: a] :
( ~ ( sK10_Xp @ SV2 @ SY37 )
| ~ ( ~ ! [SY38: a] :
( ~ ( sK10_Xp @ SV2 @ SY38 )
| ( cQ @ SY37 @ SY38 ) )
| ~ ! [SY39: a] :
( ~ ( cQ @ SY37 @ SY39 )
| ( sK10_Xp @ SV2 @ SY39 ) ) ) )
| ~ ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) ) )
| ~ ( sK10_Xp @ SV2 @ SV2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(34,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK8_Xx @ SV1 ) ) )
= $false )
| ( ( ! [SY34: a] :
~ ( SV1 @ SY34 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(35,plain,
! [SV1: a > $o] :
( ( ( ~ ~ ( ~ ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) )
| ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
| ~ ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
| ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) ) ) )
= $false )
| ( ( ! [SY34: a] :
~ ( SV1 @ SY34 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(36,plain,
! [SV2: a,SV3: a > $o] :
( ( ~ ( ~ ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
| ~ ~ ( ~ ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
| ~ ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) ) )
| ! [SY40: a] :
~ ( SV3 @ SY40 )
| ~ ( SV3 @ SV2 )
| ( SV3
= ( sK10_Xp @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV2: a] :
( ( ~ ~ ( ~ ! [SY37: a] :
( ~ ( sK10_Xp @ SV2 @ SY37 )
| ~ ( ~ ! [SY38: a] :
( ~ ( sK10_Xp @ SV2 @ SY38 )
| ( cQ @ SY37 @ SY38 ) )
| ~ ! [SY39: a] :
( ~ ( cQ @ SY37 @ SY39 )
| ( sK10_Xp @ SV2 @ SY39 ) ) ) )
| ~ ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) ) )
| ~ ( sK10_Xp @ SV2 @ SV2 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(38,plain,
! [SV1: a > $o] :
( ( ( SV1 @ ( sK8_Xx @ SV1 ) )
= $true )
| ( ( ! [SY34: a] :
~ ( SV1 @ SY34 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(39,plain,
! [SV1: a > $o] :
( ( ( ~ ( ~ ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) )
| ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
| ~ ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
| ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) ) ) )
= $true )
| ( ( ! [SY34: a] :
~ ( SV1 @ SY34 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(40,plain,
! [SV2: a,SV3: a > $o] :
( ( ( ~ ( ~ ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
| ~ ~ ( ~ ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
| ~ ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) ) )
| ! [SY40: a] :
~ ( SV3 @ SY40 )
| ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(41,plain,
! [SV2: a] :
( ( ~ ~ ( ~ ! [SY37: a] :
( ~ ( sK10_Xp @ SV2 @ SY37 )
| ~ ( ~ ! [SY38: a] :
( ~ ( sK10_Xp @ SV2 @ SY38 )
| ( cQ @ SY37 @ SY38 ) )
| ~ ! [SY39: a] :
( ~ ( cQ @ SY37 @ SY39 )
| ( sK10_Xp @ SV2 @ SY39 ) ) ) )
| ~ ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(42,plain,
! [SV2: a] :
( ( ~ ( sK10_Xp @ SV2 @ SV2 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(43,plain,
! [SV4: a,SV1: a > $o] :
( ( ( ~ ( SV1 @ SV4 ) )
= $true )
| ( ( SV1 @ ( sK8_Xx @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(44,plain,
! [SV1: a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) )
| ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
| ~ ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
| ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) ) )
= $false )
| ( ( ! [SY34: a] :
~ ( SV1 @ SY34 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(45,plain,
! [SV2: a,SV3: a > $o] :
( ( ( ~ ( ~ ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
| ~ ~ ( ~ ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
| ~ ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) ) )
| ! [SY40: a] :
~ ( SV3 @ SY40 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV2: a] :
( ( ~ ( ~ ! [SY37: a] :
( ~ ( sK10_Xp @ SV2 @ SY37 )
| ~ ( ~ ! [SY38: a] :
( ~ ( sK10_Xp @ SV2 @ SY38 )
| ( cQ @ SY37 @ SY38 ) )
| ~ ! [SY39: a] :
( ~ ( cQ @ SY37 @ SY39 )
| ( sK10_Xp @ SV2 @ SY39 ) ) ) )
| ~ ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(47,plain,
! [SV2: a] :
( ( sK10_Xp @ SV2 @ SV2 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(48,plain,
! [SV4: a,SV1: a > $o] :
( ( ( SV1 @ SV4 )
= $false )
| ( ( SV1 @ ( sK8_Xx @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(49,plain,
! [SV1: a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) )
| ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) ) )
= $false )
| ( ( ! [SY34: a] :
~ ( SV1 @ SY34 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(50,plain,
! [SV1: a > $o] :
( ( ( ~ ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
| ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) ) )
= $false )
| ( ( ! [SY34: a] :
~ ( SV1 @ SY34 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(51,plain,
! [SV2: a,SV3: a > $o] :
( ( ( ~ ( ~ ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
| ~ ~ ( ~ ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
| ~ ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) ) ) )
= $true )
| ( ( ! [SY40: a] :
~ ( SV3 @ SY40 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(52,plain,
! [SV2: a] :
( ( ~ ! [SY37: a] :
( ~ ( sK10_Xp @ SV2 @ SY37 )
| ~ ( ~ ! [SY38: a] :
( ~ ( sK10_Xp @ SV2 @ SY38 )
| ( cQ @ SY37 @ SY38 ) )
| ~ ! [SY39: a] :
( ~ ( cQ @ SY37 @ SY39 )
| ( sK10_Xp @ SV2 @ SY39 ) ) ) )
| ~ ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(53,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) )
| ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
= $true )
| ( ( ! [SY34: a] :
~ ( SV1 @ SY34 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(54,plain,
! [SV1: a > $o] :
( ( ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
| ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
= $true )
| ( ( ! [SY34: a] :
~ ( SV1 @ SY34 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(55,plain,
! [SV2: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
| ~ ~ ( ~ ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
| ~ ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) ) )
= $false )
| ( ( ! [SY40: a] :
~ ( SV3 @ SY40 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(56,plain,
! [SV2: a] :
( ( ~ ! [SY37: a] :
( ~ ( sK10_Xp @ SV2 @ SY37 )
| ~ ( ~ ! [SY38: a] :
( ~ ( sK10_Xp @ SV2 @ SY38 )
| ( cQ @ SY37 @ SY38 ) )
| ~ ! [SY39: a] :
( ~ ( cQ @ SY37 @ SY39 )
| ( sK10_Xp @ SV2 @ SY39 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(57,plain,
! [SV2: a] :
( ( ~ ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(58,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) ) )
= $true )
| ( ( ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
= $true )
| ( ( ! [SY34: a] :
~ ( SV1 @ SY34 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(59,plain,
! [SV1: a > $o] :
( ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
= $true )
| ( ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) )
= $true )
| ( ( ! [SY34: a] :
~ ( SV1 @ SY34 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(60,plain,
! [SV2: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) ) )
= $false )
| ( ( ! [SY40: a] :
~ ( SV3 @ SY40 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(61,plain,
! [SV2: a,SV3: a > $o] :
( ( ( ~ ~ ( ~ ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
| ~ ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) ) )
= $false )
| ( ( ! [SY40: a] :
~ ( SV3 @ SY40 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(62,plain,
! [SV2: a] :
( ( ! [SY37: a] :
( ~ ( sK10_Xp @ SV2 @ SY37 )
| ~ ( ~ ! [SY38: a] :
( ~ ( sK10_Xp @ SV2 @ SY38 )
| ( cQ @ SY37 @ SY38 ) )
| ~ ! [SY39: a] :
( ~ ( cQ @ SY37 @ SY39 )
| ( sK10_Xp @ SV2 @ SY39 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(63,plain,
! [SV2: a] :
( ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(64,plain,
! [SV1: a > $o] :
( ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
= $false )
| ( ( ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
= $true )
| ( ( ! [SY34: a] :
~ ( SV1 @ SY34 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(65,plain,
! [SV5: a,SV1: a > $o] :
( ( ( ~ ( SV1 @ SV5 ) )
= $true )
| ( ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(66,plain,
! [SV2: a,SV3: a > $o] :
( ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( ! [SY40: a] :
~ ( SV3 @ SY40 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(67,plain,
! [SV2: a,SV3: a > $o] :
( ( ( ~ ( ~ ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
| ~ ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) ) )
= $true )
| ( ( ! [SY40: a] :
~ ( SV3 @ SY40 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(68,plain,
! [SV6: a,SV2: a] :
( ( ~ ( sK10_Xp @ SV2 @ SV6 )
| ~ ( ~ ! [SY41: a] :
( ~ ( sK10_Xp @ SV2 @ SY41 )
| ( cQ @ SV6 @ SY41 ) )
| ~ ! [SY42: a] :
( ~ ( cQ @ SV6 @ SY42 )
| ( sK10_Xp @ SV2 @ SY42 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(69,plain,
! [SV1: a > $o] :
( ( ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
= $false )
| ( ( ! [SY34: a] :
~ ( SV1 @ SY34 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(70,plain,
! [SV5: a,SV1: a > $o] :
( ( ( SV1 @ SV5 )
= $false )
| ( ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(71,plain,
! [SV2: a,SV7: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV7 ) )
= $true )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(72,plain,
! [SV2: a,SV3: a > $o] :
( ( ( ~ ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
| ~ ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) )
= $false )
| ( ( ! [SY40: a] :
~ ( SV3 @ SY40 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(73,plain,
! [SV6: a,SV2: a] :
( ( ( ~ ( sK10_Xp @ SV2 @ SV6 ) )
= $true )
| ( ( ~ ( ~ ! [SY41: a] :
( ~ ( sK10_Xp @ SV2 @ SY41 )
| ( cQ @ SV6 @ SY41 ) )
| ~ ! [SY42: a] :
( ~ ( cQ @ SV6 @ SY42 )
| ( sK10_Xp @ SV2 @ SY42 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(74,plain,
! [SV8: a,SV1: a > $o] :
( ( ( ~ ( SV1 @ SV8 ) )
= $true )
| ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
= $false )
| ( ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(75,plain,
! [SV2: a,SV7: a,SV3: a > $o] :
( ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(76,plain,
! [SV2: a,SV3: a > $o] :
( ( ( ~ ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) )
= $false )
| ( ( ! [SY40: a] :
~ ( SV3 @ SY40 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(77,plain,
! [SV2: a,SV3: a > $o] :
( ( ( ~ ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) )
= $false )
| ( ( ! [SY40: a] :
~ ( SV3 @ SY40 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(78,plain,
! [SV6: a,SV2: a] :
( ( ( sK10_Xp @ SV2 @ SV6 )
= $false )
| ( ( ~ ( ~ ! [SY41: a] :
( ~ ( sK10_Xp @ SV2 @ SY41 )
| ( cQ @ SV6 @ SY41 ) )
| ~ ! [SY42: a] :
( ~ ( cQ @ SV6 @ SY42 )
| ( sK10_Xp @ SV2 @ SY42 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(79,plain,
! [SV8: a,SV1: a > $o] :
( ( ( SV1 @ SV8 )
= $false )
| ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
= $false )
| ( ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK7_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(80,plain,
! [SV7: a,SV2: a,SV3: a > $o] :
( ( ( SV3 @ SV2 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(81,plain,
! [SV2: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
= $true )
| ( ( ! [SY40: a] :
~ ( SV3 @ SY40 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(82,plain,
! [SV2: a,SV3: a > $o] :
( ( ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
| ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
= $true )
| ( ( ! [SY40: a] :
~ ( SV3 @ SY40 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(83,plain,
! [SV6: a,SV2: a] :
( ( ( ~ ! [SY41: a] :
( ~ ( sK10_Xp @ SV2 @ SY41 )
| ( cQ @ SV6 @ SY41 ) )
| ~ ! [SY42: a] :
( ~ ( cQ @ SV6 @ SY42 )
| ( sK10_Xp @ SV2 @ SY42 ) ) )
= $false )
| ( ( sK10_Xp @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(84,plain,
! [SV7: a,SV2: a,SV3: a > $o] :
( ( ( ! [SV9: a] :
( ( SV3 @ SV9 )
= ( sK10_Xp @ SV2 @ SV9 ) ) )
= $true )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[80]) ).
thf(85,plain,
! [SV7: a,SV2: a,SV3: a > $o] :
( ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[80]) ).
thf(86,plain,
! [SV2: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
= $true )
| ( ( ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
= $true )
| ( ( ! [SY40: a] :
~ ( SV3 @ SY40 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(87,plain,
! [SV2: a,SV3: a > $o] :
( ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( ! [SY40: a] :
~ ( SV3 @ SY40 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(88,plain,
! [SV6: a,SV2: a] :
( ( ( ~ ! [SY41: a] :
( ~ ( sK10_Xp @ SV2 @ SY41 )
| ( cQ @ SV6 @ SY41 ) ) )
= $false )
| ( ( sK10_Xp @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(89,plain,
! [SV2: a,SV6: a] :
( ( ( ~ ! [SY42: a] :
( ~ ( cQ @ SV6 @ SY42 )
| ( sK10_Xp @ SV2 @ SY42 ) ) )
= $false )
| ( ( sK10_Xp @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(90,plain,
! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
( ( ( ( SV3 @ SV10 )
= ( sK10_Xp @ SV2 @ SV10 ) )
= $true )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(91,plain,
! [SV2: a,SV3: a > $o] :
( ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
= $true )
| ( ( ! [SY40: a] :
~ ( SV3 @ SY40 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(92,plain,
! [SV2: a,SV11: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV11 ) )
= $true )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(93,plain,
! [SV6: a,SV2: a] :
( ( ( ! [SY41: a] :
( ~ ( sK10_Xp @ SV2 @ SY41 )
| ( cQ @ SV6 @ SY41 ) ) )
= $true )
| ( ( sK10_Xp @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(94,plain,
! [SV2: a,SV6: a] :
( ( ( ! [SY42: a] :
( ~ ( cQ @ SV6 @ SY42 )
| ( sK10_Xp @ SV2 @ SY42 ) ) )
= $true )
| ( ( sK10_Xp @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(95,plain,
! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
( ( ( ~ ( ( SV3 @ SV10 )
| ( sK10_Xp @ SV2 @ SV10 ) )
| ~ ( ~ ( SV3 @ SV10 )
| ~ ( sK10_Xp @ SV2 @ SV10 ) ) )
= $true )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[90]) ).
thf(96,plain,
! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
( ( ( ( SV3 @ SV10 )
= ( sK10_Xp @ SV2 @ SV10 ) )
= $true )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[90]) ).
thf(97,plain,
! [SV2: a,SV3: a > $o] :
( ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( ! [SY40: a] :
~ ( SV3 @ SY40 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(98,plain,
! [SV2: a,SV11: a,SV3: a > $o] :
( ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(99,plain,
! [SV6: a,SV12: a,SV2: a] :
( ( ( ~ ( sK10_Xp @ SV2 @ SV12 )
| ( cQ @ SV6 @ SV12 ) )
= $true )
| ( ( sK10_Xp @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(100,plain,
! [SV2: a,SV13: a,SV6: a] :
( ( ( ~ ( cQ @ SV6 @ SV13 )
| ( sK10_Xp @ SV2 @ SV13 ) )
= $true )
| ( ( sK10_Xp @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(101,plain,
! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
( ( ( ~ ( ( SV3 @ SV10 )
| ( sK10_Xp @ SV2 @ SV10 ) ) )
= $true )
| ( ( ~ ( ~ ( SV3 @ SV10 )
| ~ ( sK10_Xp @ SV2 @ SV10 ) ) )
= $true )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(102,plain,
! [SV2: a,SV14: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV14 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(103,plain,
! [SV11: a,SV2: a,SV3: a > $o] :
( ( ( SV3 @ SV2 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV11 )
= $false )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(104,plain,
! [SV6: a,SV12: a,SV2: a] :
( ( ( ~ ( sK10_Xp @ SV2 @ SV12 ) )
= $true )
| ( ( cQ @ SV6 @ SV12 )
= $true )
| ( ( sK10_Xp @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(105,plain,
! [SV2: a,SV13: a,SV6: a] :
( ( ( ~ ( cQ @ SV6 @ SV13 ) )
= $true )
| ( ( sK10_Xp @ SV2 @ SV13 )
= $true )
| ( ( sK10_Xp @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(106,plain,
! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
( ( ( ( SV3 @ SV10 )
| ( sK10_Xp @ SV2 @ SV10 ) )
= $false )
| ( ( ~ ( ~ ( SV3 @ SV10 )
| ~ ( sK10_Xp @ SV2 @ SV10 ) ) )
= $true )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(107,plain,
! [SV2: a,SV14: a,SV3: a > $o] :
( ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(108,plain,
! [SV11: a,SV2: a,SV3: a > $o] :
( ( ( ! [SV15: a] :
( ( SV3 @ SV15 )
= ( sK10_Xp @ SV2 @ SV15 ) ) )
= $true )
| ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[103]) ).
thf(109,plain,
! [SV11: a,SV2: a,SV3: a > $o] :
( ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true )
| ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[103]) ).
thf(110,plain,
! [SV6: a,SV12: a,SV2: a] :
( ( ( sK10_Xp @ SV2 @ SV12 )
= $false )
| ( ( cQ @ SV6 @ SV12 )
= $true )
| ( ( sK10_Xp @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(111,plain,
! [SV2: a,SV13: a,SV6: a] :
( ( ( cQ @ SV6 @ SV13 )
= $false )
| ( ( sK10_Xp @ SV2 @ SV13 )
= $true )
| ( ( sK10_Xp @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(112,plain,
! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
( ( ( SV3 @ SV10 )
= $false )
| ( ( ~ ( ~ ( SV3 @ SV10 )
| ~ ( sK10_Xp @ SV2 @ SV10 ) ) )
= $true )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(113,plain,
! [SV7: a,SV3: a > $o,SV10: a,SV2: a] :
( ( ( sK10_Xp @ SV2 @ SV10 )
= $false )
| ( ( ~ ( ~ ( SV3 @ SV10 )
| ~ ( sK10_Xp @ SV2 @ SV10 ) ) )
= $true )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(114,plain,
! [SV14: a,SV2: a,SV3: a > $o] :
( ( ( SV3 @ SV2 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(115,plain,
! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
( ( ( ( SV3 @ SV16 )
= ( sK10_Xp @ SV2 @ SV16 ) )
= $true )
| ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(116,plain,
! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV10 )
| ~ ( sK10_Xp @ SV2 @ SV10 ) )
= $false )
| ( ( SV3 @ SV10 )
= $false )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(117,plain,
! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV10 )
| ~ ( sK10_Xp @ SV2 @ SV10 ) )
= $false )
| ( ( sK10_Xp @ SV2 @ SV10 )
= $false )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(118,plain,
! [SV14: a,SV2: a,SV3: a > $o] :
( ( ( ! [SV17: a] :
( ( SV3 @ SV17 )
= ( sK10_Xp @ SV2 @ SV17 ) ) )
= $true )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[114]) ).
thf(119,plain,
! [SV14: a,SV2: a,SV3: a > $o] :
( ( ( SV3
= ( sK10_Xp @ SV2 ) )
= $true )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[114]) ).
thf(120,plain,
! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
( ( ( ~ ( ( SV3 @ SV16 )
| ( sK10_Xp @ SV2 @ SV16 ) )
| ~ ( ~ ( SV3 @ SV16 )
| ~ ( sK10_Xp @ SV2 @ SV16 ) ) )
= $true )
| ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[115]) ).
thf(121,plain,
! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
( ( ( ( SV3 @ SV16 )
= ( sK10_Xp @ SV2 @ SV16 ) )
= $true )
| ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[115]) ).
thf(122,plain,
! [SV2: a,SV7: a,SV10: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV10 ) )
= $false )
| ( ( SV3 @ SV10 )
= $false )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(123,plain,
! [SV7: a,SV3: a > $o,SV10: a,SV2: a] :
( ( ( ~ ( sK10_Xp @ SV2 @ SV10 ) )
= $false )
| ( ( SV3 @ SV10 )
= $false )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(124,plain,
! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV10 ) )
= $false )
| ( ( sK10_Xp @ SV2 @ SV10 )
= $false )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(125,plain,
! [SV7: a,SV3: a > $o,SV10: a,SV2: a] :
( ( ( ~ ( sK10_Xp @ SV2 @ SV10 ) )
= $false )
| ( ( sK10_Xp @ SV2 @ SV10 )
= $false )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(126,plain,
! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
( ( ( ( SV3 @ SV18 )
= ( sK10_Xp @ SV2 @ SV18 ) )
= $true )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(127,plain,
! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
( ( ( ~ ( ( SV3 @ SV16 )
| ( sK10_Xp @ SV2 @ SV16 ) ) )
= $true )
| ( ( ~ ( ~ ( SV3 @ SV16 )
| ~ ( sK10_Xp @ SV2 @ SV16 ) ) )
= $true )
| ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(128,plain,
! [SV2: a,SV7: a,SV10: a,SV3: a > $o] :
( ( ( SV3 @ SV10 )
= $true )
| ( ( SV3 @ SV10 )
= $false )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(129,plain,
! [SV7: a,SV3: a > $o,SV10: a,SV2: a] :
( ( ( sK10_Xp @ SV2 @ SV10 )
= $true )
| ( ( SV3 @ SV10 )
= $false )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(130,plain,
! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
( ( ( SV3 @ SV10 )
= $true )
| ( ( sK10_Xp @ SV2 @ SV10 )
= $false )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(131,plain,
! [SV7: a,SV3: a > $o,SV10: a,SV2: a] :
( ( ( sK10_Xp @ SV2 @ SV10 )
= $true )
| ( ( sK10_Xp @ SV2 @ SV10 )
= $false )
| ( ( SV3 @ SV7 )
= $false )
| ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(132,plain,
! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
( ( ( ~ ( ( SV3 @ SV18 )
| ( sK10_Xp @ SV2 @ SV18 ) )
| ~ ( ~ ( SV3 @ SV18 )
| ~ ( sK10_Xp @ SV2 @ SV18 ) ) )
= $true )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[126]) ).
thf(133,plain,
! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
( ( ( ( SV3 @ SV18 )
= ( sK10_Xp @ SV2 @ SV18 ) )
= $true )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[126]) ).
thf(134,plain,
! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
( ( ( ( SV3 @ SV16 )
| ( sK10_Xp @ SV2 @ SV16 ) )
= $false )
| ( ( ~ ( ~ ( SV3 @ SV16 )
| ~ ( sK10_Xp @ SV2 @ SV16 ) ) )
= $true )
| ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(135,plain,
! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
( ( ( ~ ( ( SV3 @ SV18 )
| ( sK10_Xp @ SV2 @ SV18 ) ) )
= $true )
| ( ( ~ ( ~ ( SV3 @ SV18 )
| ~ ( sK10_Xp @ SV2 @ SV18 ) ) )
= $true )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(136,plain,
! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
( ( ( SV3 @ SV16 )
= $false )
| ( ( ~ ( ~ ( SV3 @ SV16 )
| ~ ( sK10_Xp @ SV2 @ SV16 ) ) )
= $true )
| ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(137,plain,
! [SV11: a,SV3: a > $o,SV16: a,SV2: a] :
( ( ( sK10_Xp @ SV2 @ SV16 )
= $false )
| ( ( ~ ( ~ ( SV3 @ SV16 )
| ~ ( sK10_Xp @ SV2 @ SV16 ) ) )
= $true )
| ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(138,plain,
! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
( ( ( ( SV3 @ SV18 )
| ( sK10_Xp @ SV2 @ SV18 ) )
= $false )
| ( ( ~ ( ~ ( SV3 @ SV18 )
| ~ ( sK10_Xp @ SV2 @ SV18 ) ) )
= $true )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(139,plain,
! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV16 )
| ~ ( sK10_Xp @ SV2 @ SV16 ) )
= $false )
| ( ( SV3 @ SV16 )
= $false )
| ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(140,plain,
! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV16 )
| ~ ( sK10_Xp @ SV2 @ SV16 ) )
= $false )
| ( ( sK10_Xp @ SV2 @ SV16 )
= $false )
| ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(141,plain,
! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
( ( ( SV3 @ SV18 )
= $false )
| ( ( ~ ( ~ ( SV3 @ SV18 )
| ~ ( sK10_Xp @ SV2 @ SV18 ) ) )
= $true )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(142,plain,
! [SV14: a,SV3: a > $o,SV18: a,SV2: a] :
( ( ( sK10_Xp @ SV2 @ SV18 )
= $false )
| ( ( ~ ( ~ ( SV3 @ SV18 )
| ~ ( sK10_Xp @ SV2 @ SV18 ) ) )
= $true )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(143,plain,
! [SV2: a,SV11: a,SV16: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV16 ) )
= $false )
| ( ( SV3 @ SV16 )
= $false )
| ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(144,plain,
! [SV11: a,SV3: a > $o,SV16: a,SV2: a] :
( ( ( ~ ( sK10_Xp @ SV2 @ SV16 ) )
= $false )
| ( ( SV3 @ SV16 )
= $false )
| ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(145,plain,
! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV16 ) )
= $false )
| ( ( sK10_Xp @ SV2 @ SV16 )
= $false )
| ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(146,plain,
! [SV11: a,SV3: a > $o,SV16: a,SV2: a] :
( ( ( ~ ( sK10_Xp @ SV2 @ SV16 ) )
= $false )
| ( ( sK10_Xp @ SV2 @ SV16 )
= $false )
| ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(147,plain,
! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV18 )
| ~ ( sK10_Xp @ SV2 @ SV18 ) )
= $false )
| ( ( SV3 @ SV18 )
= $false )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(148,plain,
! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV18 )
| ~ ( sK10_Xp @ SV2 @ SV18 ) )
= $false )
| ( ( sK10_Xp @ SV2 @ SV18 )
= $false )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(149,plain,
! [SV2: a,SV11: a,SV16: a,SV3: a > $o] :
( ( ( SV3 @ SV16 )
= $true )
| ( ( SV3 @ SV16 )
= $false )
| ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(150,plain,
! [SV11: a,SV3: a > $o,SV16: a,SV2: a] :
( ( ( sK10_Xp @ SV2 @ SV16 )
= $true )
| ( ( SV3 @ SV16 )
= $false )
| ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(151,plain,
! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
( ( ( SV3 @ SV16 )
= $true )
| ( ( sK10_Xp @ SV2 @ SV16 )
= $false )
| ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(152,plain,
! [SV11: a,SV3: a > $o,SV16: a,SV2: a] :
( ( ( sK10_Xp @ SV2 @ SV16 )
= $true )
| ( ( sK10_Xp @ SV2 @ SV16 )
= $false )
| ( ( SV3 @ SV11 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(153,plain,
! [SV2: a,SV14: a,SV18: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV18 ) )
= $false )
| ( ( SV3 @ SV18 )
= $false )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(154,plain,
! [SV14: a,SV3: a > $o,SV18: a,SV2: a] :
( ( ( ~ ( sK10_Xp @ SV2 @ SV18 ) )
= $false )
| ( ( SV3 @ SV18 )
= $false )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(155,plain,
! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV18 ) )
= $false )
| ( ( sK10_Xp @ SV2 @ SV18 )
= $false )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(156,plain,
! [SV14: a,SV3: a > $o,SV18: a,SV2: a] :
( ( ( ~ ( sK10_Xp @ SV2 @ SV18 ) )
= $false )
| ( ( sK10_Xp @ SV2 @ SV18 )
= $false )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(157,plain,
! [SV2: a,SV14: a,SV18: a,SV3: a > $o] :
( ( ( SV3 @ SV18 )
= $true )
| ( ( SV3 @ SV18 )
= $false )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(158,plain,
! [SV14: a,SV3: a > $o,SV18: a,SV2: a] :
( ( ( sK10_Xp @ SV2 @ SV18 )
= $true )
| ( ( SV3 @ SV18 )
= $false )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(159,plain,
! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
( ( ( SV3 @ SV18 )
= $true )
| ( ( sK10_Xp @ SV2 @ SV18 )
= $false )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(160,plain,
! [SV14: a,SV3: a > $o,SV18: a,SV2: a] :
( ( ( sK10_Xp @ SV2 @ SV18 )
= $true )
| ( ( sK10_Xp @ SV2 @ SV18 )
= $false )
| ( ( SV3 @ SV14 )
= $false )
| ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
= $false )
| ( ( SV3 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(161,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[23,160,159,158,157,152,151,150,149,133,131,130,129,128,121,119,111,110,109,96,85,79,70,63,48,47]) ).
thf(162,plain,
( ( ! [Xx: a] :
( ! [SY25: a > $o] :
( ( ( SY25 @ ( sK12_Xx0 @ SY25 @ Xx ) )
& ( ~ ( SY25 @ ( sK13_SY33 @ SY25 @ Xx ) )
| ~ ( cQ @ ( sK12_Xx0 @ SY25 @ Xx ) @ ( sK13_SY33 @ SY25 @ Xx ) ) )
& ( ( SY25 @ ( sK13_SY33 @ SY25 @ Xx ) )
| ( cQ @ ( sK12_Xx0 @ SY25 @ Xx ) @ ( sK13_SY33 @ SY25 @ Xx ) ) ) )
| ! [Xz: a] :
~ ( SY25 @ Xz )
| ~ ( SY25 @ Xx )
| ( SY25
= ( sK10_Xp @ Xx ) ) )
& ! [SY29: a] :
( ~ ( sK10_Xp @ Xx @ SY29 )
| ( ! [SY30: a] :
( ~ ( sK10_Xp @ Xx @ SY30 )
| ( cQ @ SY29 @ SY30 ) )
& ! [SY31: a] :
( ~ ( cQ @ SY29 @ SY31 )
| ( sK10_Xp @ Xx @ SY31 ) ) ) )
& ( sK10_Xp @ Xx @ ( sK11_SY32 @ Xx ) )
& ( sK10_Xp @ Xx @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(163,plain,
( ( ! [Xp: a > $o] :
( ( ( Xp @ ( sK8_Xx @ Xp ) )
& ( ~ ( Xp @ ( sK9_SY24 @ Xp ) )
| ~ ( cQ @ ( sK8_Xx @ Xp ) @ ( sK9_SY24 @ Xp ) ) )
& ( ( Xp @ ( sK9_SY24 @ Xp ) )
| ( cQ @ ( sK8_Xx @ Xp ) @ ( sK9_SY24 @ Xp ) ) ) )
| ! [Xz: a] :
~ ( Xp @ Xz )
| ( Xp @ ( sK7_Xz @ Xp ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(164,plain,
( ( ( cQ @ sK2_Xx @ sK3_SY20 )
& ~ ( cQ @ sK3_SY20 @ sK2_Xx ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(165,plain,
( ( ! [SX0: a > $o] :
( ~ ( ~ ( SX0 @ ( sK8_Xx @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK9_SY24 @ SX0 ) )
| ~ ( cQ @ ( sK8_Xx @ SX0 ) @ ( sK9_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK9_SY24 @ SX0 ) )
| ( cQ @ ( sK8_Xx @ SX0 ) @ ( sK9_SY24 @ SX0 ) ) ) ) )
| ! [SX1: a] :
~ ( SX0 @ SX1 )
| ( SX0 @ ( sK7_Xz @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(166,plain,
( ( ~ ( ~ ( cQ @ sK2_Xx @ sK3_SY20 )
| ~ ~ ( cQ @ sK3_SY20 @ sK2_Xx ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(167,plain,
( ( ! [SX0: a] :
~ ( ~ ! [SX1: a > $o] :
( ~ ( ~ ( SX1 @ ( sK12_Xx0 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX1 @ ( sK13_SY33 @ SX1 @ SX0 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SX1 @ SX0 ) @ ( sK13_SY33 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK13_SY33 @ SX1 @ SX0 ) )
| ( cQ @ ( sK12_Xx0 @ SX1 @ SX0 ) @ ( sK13_SY33 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: a] :
~ ( SX1 @ SX2 )
| ~ ( SX1 @ SX0 )
| ( SX1
= ( sK10_Xp @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK10_Xp @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: a] :
( ~ ( sK10_Xp @ SX0 @ SX2 )
| ( cQ @ SX1 @ SX2 ) )
| ~ ! [SX2: a] :
( ~ ( cQ @ SX1 @ SX2 )
| ( sK10_Xp @ SX0 @ SX2 ) ) ) )
| ~ ( sK10_Xp @ SX0 @ ( sK11_SY32 @ SX0 ) ) )
| ~ ( sK10_Xp @ SX0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(168,plain,
! [SV19: a > $o] :
( ( ~ ( ~ ( SV19 @ ( sK8_Xx @ SV19 ) )
| ~ ~ ( ~ ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) )
| ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
| ~ ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
| ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) ) ) )
| ! [SY43: a] :
~ ( SV19 @ SY43 )
| ( SV19 @ ( sK7_Xz @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(169,plain,
( ( ~ ( cQ @ sK2_Xx @ sK3_SY20 )
| ~ ~ ( cQ @ sK3_SY20 @ sK2_Xx ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(170,plain,
! [SV20: a] :
( ( ~ ( ~ ! [SY44: a > $o] :
( ~ ( ~ ( SY44 @ ( sK12_Xx0 @ SY44 @ SV20 ) )
| ~ ~ ( ~ ( ~ ( SY44 @ ( sK13_SY33 @ SY44 @ SV20 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SY44 @ SV20 ) @ ( sK13_SY33 @ SY44 @ SV20 ) ) )
| ~ ( ( SY44 @ ( sK13_SY33 @ SY44 @ SV20 ) )
| ( cQ @ ( sK12_Xx0 @ SY44 @ SV20 ) @ ( sK13_SY33 @ SY44 @ SV20 ) ) ) ) )
| ! [SX2: a] :
~ ( SY44 @ SX2 )
| ~ ( SY44 @ SV20 )
| ( SY44
= ( sK10_Xp @ SV20 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY46: a] :
( ~ ( sK10_Xp @ SV20 @ SY46 )
| ~ ( ~ ! [SY47: a] :
( ~ ( sK10_Xp @ SV20 @ SY47 )
| ( cQ @ SY46 @ SY47 ) )
| ~ ! [SY48: a] :
( ~ ( cQ @ SY46 @ SY48 )
| ( sK10_Xp @ SV20 @ SY48 ) ) ) )
| ~ ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) ) )
| ~ ( sK10_Xp @ SV20 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(171,plain,
! [SV19: a > $o] :
( ( ( ~ ( ~ ( SV19 @ ( sK8_Xx @ SV19 ) )
| ~ ~ ( ~ ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) )
| ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
| ~ ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
| ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) ) ) )
| ! [SY43: a] :
~ ( SV19 @ SY43 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(172,plain,
( ( ~ ( cQ @ sK2_Xx @ sK3_SY20 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(173,plain,
( ( ~ ~ ( cQ @ sK3_SY20 @ sK2_Xx ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(174,plain,
! [SV20: a] :
( ( ~ ! [SY44: a > $o] :
( ~ ( ~ ( SY44 @ ( sK12_Xx0 @ SY44 @ SV20 ) )
| ~ ~ ( ~ ( ~ ( SY44 @ ( sK13_SY33 @ SY44 @ SV20 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SY44 @ SV20 ) @ ( sK13_SY33 @ SY44 @ SV20 ) ) )
| ~ ( ( SY44 @ ( sK13_SY33 @ SY44 @ SV20 ) )
| ( cQ @ ( sK12_Xx0 @ SY44 @ SV20 ) @ ( sK13_SY33 @ SY44 @ SV20 ) ) ) ) )
| ! [SX2: a] :
~ ( SY44 @ SX2 )
| ~ ( SY44 @ SV20 )
| ( SY44
= ( sK10_Xp @ SV20 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY46: a] :
( ~ ( sK10_Xp @ SV20 @ SY46 )
| ~ ( ~ ! [SY47: a] :
( ~ ( sK10_Xp @ SV20 @ SY47 )
| ( cQ @ SY46 @ SY47 ) )
| ~ ! [SY48: a] :
( ~ ( cQ @ SY46 @ SY48 )
| ( sK10_Xp @ SV20 @ SY48 ) ) ) )
| ~ ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) ) )
| ~ ( sK10_Xp @ SV20 @ SV20 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(175,plain,
! [SV19: a > $o] :
( ( ( ~ ( ~ ( SV19 @ ( sK8_Xx @ SV19 ) )
| ~ ~ ( ~ ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) )
| ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
| ~ ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
| ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) ) ) ) )
= $true )
| ( ( ! [SY43: a] :
~ ( SV19 @ SY43 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(176,plain,
( ( cQ @ sK2_Xx @ sK3_SY20 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(177,plain,
( ( ~ ( cQ @ sK3_SY20 @ sK2_Xx ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(178,plain,
! [SV20: a] :
( ( ~ ! [SY44: a > $o] :
( ~ ( ~ ( SY44 @ ( sK12_Xx0 @ SY44 @ SV20 ) )
| ~ ~ ( ~ ( ~ ( SY44 @ ( sK13_SY33 @ SY44 @ SV20 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SY44 @ SV20 ) @ ( sK13_SY33 @ SY44 @ SV20 ) ) )
| ~ ( ( SY44 @ ( sK13_SY33 @ SY44 @ SV20 ) )
| ( cQ @ ( sK12_Xx0 @ SY44 @ SV20 ) @ ( sK13_SY33 @ SY44 @ SV20 ) ) ) ) )
| ! [SX2: a] :
~ ( SY44 @ SX2 )
| ~ ( SY44 @ SV20 )
| ( SY44
= ( sK10_Xp @ SV20 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(179,plain,
! [SV20: a] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY46: a] :
( ~ ( sK10_Xp @ SV20 @ SY46 )
| ~ ( ~ ! [SY47: a] :
( ~ ( sK10_Xp @ SV20 @ SY47 )
| ( cQ @ SY46 @ SY47 ) )
| ~ ! [SY48: a] :
( ~ ( cQ @ SY46 @ SY48 )
| ( sK10_Xp @ SV20 @ SY48 ) ) ) )
| ~ ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) ) )
| ~ ( sK10_Xp @ SV20 @ SV20 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(180,plain,
! [SV19: a > $o] :
( ( ( ~ ( SV19 @ ( sK8_Xx @ SV19 ) )
| ~ ~ ( ~ ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) )
| ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
| ~ ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
| ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) ) ) )
= $false )
| ( ( ! [SY43: a] :
~ ( SV19 @ SY43 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(181,plain,
( ( cQ @ sK3_SY20 @ sK2_Xx )
= $false ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(182,plain,
! [SV20: a] :
( ( ! [SY44: a > $o] :
( ~ ( ~ ( SY44 @ ( sK12_Xx0 @ SY44 @ SV20 ) )
| ~ ~ ( ~ ( ~ ( SY44 @ ( sK13_SY33 @ SY44 @ SV20 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SY44 @ SV20 ) @ ( sK13_SY33 @ SY44 @ SV20 ) ) )
| ~ ( ( SY44 @ ( sK13_SY33 @ SY44 @ SV20 ) )
| ( cQ @ ( sK12_Xx0 @ SY44 @ SV20 ) @ ( sK13_SY33 @ SY44 @ SV20 ) ) ) ) )
| ! [SX2: a] :
~ ( SY44 @ SX2 )
| ~ ( SY44 @ SV20 )
| ( SY44
= ( sK10_Xp @ SV20 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(183,plain,
! [SV20: a] :
( ( ~ ( ~ ~ ( ~ ! [SY46: a] :
( ~ ( sK10_Xp @ SV20 @ SY46 )
| ~ ( ~ ! [SY47: a] :
( ~ ( sK10_Xp @ SV20 @ SY47 )
| ( cQ @ SY46 @ SY47 ) )
| ~ ! [SY48: a] :
( ~ ( cQ @ SY46 @ SY48 )
| ( sK10_Xp @ SV20 @ SY48 ) ) ) )
| ~ ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) ) )
| ~ ( sK10_Xp @ SV20 @ SV20 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(184,plain,
! [SV19: a > $o] :
( ( ( ~ ( SV19 @ ( sK8_Xx @ SV19 ) ) )
= $false )
| ( ( ! [SY43: a] :
~ ( SV19 @ SY43 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[180]) ).
thf(185,plain,
! [SV19: a > $o] :
( ( ( ~ ~ ( ~ ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) )
| ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
| ~ ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
| ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) ) ) )
= $false )
| ( ( ! [SY43: a] :
~ ( SV19 @ SY43 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[180]) ).
thf(186,plain,
! [SV20: a,SV21: a > $o] :
( ( ~ ( ~ ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
| ~ ~ ( ~ ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
| ~ ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) ) )
| ! [SY49: a] :
~ ( SV21 @ SY49 )
| ~ ( SV21 @ SV20 )
| ( SV21
= ( sK10_Xp @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(187,plain,
! [SV20: a] :
( ( ~ ~ ( ~ ! [SY46: a] :
( ~ ( sK10_Xp @ SV20 @ SY46 )
| ~ ( ~ ! [SY47: a] :
( ~ ( sK10_Xp @ SV20 @ SY47 )
| ( cQ @ SY46 @ SY47 ) )
| ~ ! [SY48: a] :
( ~ ( cQ @ SY46 @ SY48 )
| ( sK10_Xp @ SV20 @ SY48 ) ) ) )
| ~ ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) ) )
| ~ ( sK10_Xp @ SV20 @ SV20 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(188,plain,
! [SV19: a > $o] :
( ( ( SV19 @ ( sK8_Xx @ SV19 ) )
= $true )
| ( ( ! [SY43: a] :
~ ( SV19 @ SY43 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(189,plain,
! [SV19: a > $o] :
( ( ( ~ ( ~ ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) )
| ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
| ~ ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
| ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) ) ) )
= $true )
| ( ( ! [SY43: a] :
~ ( SV19 @ SY43 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(190,plain,
! [SV20: a,SV21: a > $o] :
( ( ( ~ ( ~ ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
| ~ ~ ( ~ ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
| ~ ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) ) )
| ! [SY49: a] :
~ ( SV21 @ SY49 )
| ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(191,plain,
! [SV20: a] :
( ( ~ ~ ( ~ ! [SY46: a] :
( ~ ( sK10_Xp @ SV20 @ SY46 )
| ~ ( ~ ! [SY47: a] :
( ~ ( sK10_Xp @ SV20 @ SY47 )
| ( cQ @ SY46 @ SY47 ) )
| ~ ! [SY48: a] :
( ~ ( cQ @ SY46 @ SY48 )
| ( sK10_Xp @ SV20 @ SY48 ) ) ) )
| ~ ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(192,plain,
! [SV20: a] :
( ( ~ ( sK10_Xp @ SV20 @ SV20 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(193,plain,
! [SV22: a,SV19: a > $o] :
( ( ( ~ ( SV19 @ SV22 ) )
= $true )
| ( ( SV19 @ ( sK8_Xx @ SV19 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(194,plain,
! [SV19: a > $o] :
( ( ( ~ ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) )
| ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
| ~ ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
| ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) ) )
= $false )
| ( ( ! [SY43: a] :
~ ( SV19 @ SY43 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(195,plain,
! [SV20: a,SV21: a > $o] :
( ( ( ~ ( ~ ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
| ~ ~ ( ~ ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
| ~ ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) ) )
| ! [SY49: a] :
~ ( SV21 @ SY49 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(196,plain,
! [SV20: a] :
( ( ~ ( ~ ! [SY46: a] :
( ~ ( sK10_Xp @ SV20 @ SY46 )
| ~ ( ~ ! [SY47: a] :
( ~ ( sK10_Xp @ SV20 @ SY47 )
| ( cQ @ SY46 @ SY47 ) )
| ~ ! [SY48: a] :
( ~ ( cQ @ SY46 @ SY48 )
| ( sK10_Xp @ SV20 @ SY48 ) ) ) )
| ~ ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(197,plain,
! [SV20: a] :
( ( sK10_Xp @ SV20 @ SV20 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(198,plain,
! [SV22: a,SV19: a > $o] :
( ( ( SV19 @ SV22 )
= $false )
| ( ( SV19 @ ( sK8_Xx @ SV19 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(199,plain,
! [SV19: a > $o] :
( ( ( ~ ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) )
| ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) ) )
= $false )
| ( ( ! [SY43: a] :
~ ( SV19 @ SY43 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(200,plain,
! [SV19: a > $o] :
( ( ( ~ ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
| ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) ) )
= $false )
| ( ( ! [SY43: a] :
~ ( SV19 @ SY43 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(201,plain,
! [SV20: a,SV21: a > $o] :
( ( ( ~ ( ~ ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
| ~ ~ ( ~ ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
| ~ ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) ) ) )
= $true )
| ( ( ! [SY49: a] :
~ ( SV21 @ SY49 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(202,plain,
! [SV20: a] :
( ( ~ ! [SY46: a] :
( ~ ( sK10_Xp @ SV20 @ SY46 )
| ~ ( ~ ! [SY47: a] :
( ~ ( sK10_Xp @ SV20 @ SY47 )
| ( cQ @ SY46 @ SY47 ) )
| ~ ! [SY48: a] :
( ~ ( cQ @ SY46 @ SY48 )
| ( sK10_Xp @ SV20 @ SY48 ) ) ) )
| ~ ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(203,plain,
! [SV19: a > $o] :
( ( ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) )
| ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
= $true )
| ( ( ! [SY43: a] :
~ ( SV19 @ SY43 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(204,plain,
! [SV19: a > $o] :
( ( ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
| ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
= $true )
| ( ( ! [SY43: a] :
~ ( SV19 @ SY43 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(205,plain,
! [SV20: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
| ~ ~ ( ~ ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
| ~ ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) ) )
= $false )
| ( ( ! [SY49: a] :
~ ( SV21 @ SY49 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(206,plain,
! [SV20: a] :
( ( ~ ! [SY46: a] :
( ~ ( sK10_Xp @ SV20 @ SY46 )
| ~ ( ~ ! [SY47: a] :
( ~ ( sK10_Xp @ SV20 @ SY47 )
| ( cQ @ SY46 @ SY47 ) )
| ~ ! [SY48: a] :
( ~ ( cQ @ SY46 @ SY48 )
| ( sK10_Xp @ SV20 @ SY48 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(207,plain,
! [SV20: a] :
( ( ~ ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(208,plain,
! [SV19: a > $o] :
( ( ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) ) )
= $true )
| ( ( ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
= $true )
| ( ( ! [SY43: a] :
~ ( SV19 @ SY43 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(209,plain,
! [SV19: a > $o] :
( ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
= $true )
| ( ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) )
= $true )
| ( ( ! [SY43: a] :
~ ( SV19 @ SY43 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(210,plain,
! [SV20: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) ) )
= $false )
| ( ( ! [SY49: a] :
~ ( SV21 @ SY49 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(211,plain,
! [SV20: a,SV21: a > $o] :
( ( ( ~ ~ ( ~ ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
| ~ ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) ) )
= $false )
| ( ( ! [SY49: a] :
~ ( SV21 @ SY49 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(212,plain,
! [SV20: a] :
( ( ! [SY46: a] :
( ~ ( sK10_Xp @ SV20 @ SY46 )
| ~ ( ~ ! [SY47: a] :
( ~ ( sK10_Xp @ SV20 @ SY47 )
| ( cQ @ SY46 @ SY47 ) )
| ~ ! [SY48: a] :
( ~ ( cQ @ SY46 @ SY48 )
| ( sK10_Xp @ SV20 @ SY48 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(213,plain,
! [SV20: a] :
( ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(214,plain,
! [SV19: a > $o] :
( ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
= $false )
| ( ( ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
= $true )
| ( ( ! [SY43: a] :
~ ( SV19 @ SY43 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(215,plain,
! [SV23: a,SV19: a > $o] :
( ( ( ~ ( SV19 @ SV23 ) )
= $true )
| ( ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) )
= $true )
| ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(216,plain,
! [SV20: a,SV21: a > $o] :
( ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( ! [SY49: a] :
~ ( SV21 @ SY49 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(217,plain,
! [SV20: a,SV21: a > $o] :
( ( ( ~ ( ~ ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
| ~ ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) ) )
= $true )
| ( ( ! [SY49: a] :
~ ( SV21 @ SY49 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(218,plain,
! [SV24: a,SV20: a] :
( ( ~ ( sK10_Xp @ SV20 @ SV24 )
| ~ ( ~ ! [SY50: a] :
( ~ ( sK10_Xp @ SV20 @ SY50 )
| ( cQ @ SV24 @ SY50 ) )
| ~ ! [SY51: a] :
( ~ ( cQ @ SV24 @ SY51 )
| ( sK10_Xp @ SV20 @ SY51 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(219,plain,
! [SV19: a > $o] :
( ( ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) )
= $false )
| ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
= $false )
| ( ( ! [SY43: a] :
~ ( SV19 @ SY43 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(220,plain,
! [SV23: a,SV19: a > $o] :
( ( ( SV19 @ SV23 )
= $false )
| ( ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) )
= $true )
| ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
= $true )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(221,plain,
! [SV20: a,SV25: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ SV25 ) )
= $true )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(222,plain,
! [SV20: a,SV21: a > $o] :
( ( ( ~ ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
| ~ ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) )
= $false )
| ( ( ! [SY49: a] :
~ ( SV21 @ SY49 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(223,plain,
! [SV24: a,SV20: a] :
( ( ( ~ ( sK10_Xp @ SV20 @ SV24 ) )
= $true )
| ( ( ~ ( ~ ! [SY50: a] :
( ~ ( sK10_Xp @ SV20 @ SY50 )
| ( cQ @ SV24 @ SY50 ) )
| ~ ! [SY51: a] :
( ~ ( cQ @ SV24 @ SY51 )
| ( sK10_Xp @ SV20 @ SY51 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(224,plain,
! [SV26: a,SV19: a > $o] :
( ( ( ~ ( SV19 @ SV26 ) )
= $true )
| ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
= $false )
| ( ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) )
= $false )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(225,plain,
! [SV20: a,SV25: a,SV21: a > $o] :
( ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(226,plain,
! [SV20: a,SV21: a > $o] :
( ( ( ~ ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) )
= $false )
| ( ( ! [SY49: a] :
~ ( SV21 @ SY49 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(227,plain,
! [SV20: a,SV21: a > $o] :
( ( ( ~ ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) )
= $false )
| ( ( ! [SY49: a] :
~ ( SV21 @ SY49 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(228,plain,
! [SV24: a,SV20: a] :
( ( ( sK10_Xp @ SV20 @ SV24 )
= $false )
| ( ( ~ ( ~ ! [SY50: a] :
( ~ ( sK10_Xp @ SV20 @ SY50 )
| ( cQ @ SV24 @ SY50 ) )
| ~ ! [SY51: a] :
( ~ ( cQ @ SV24 @ SY51 )
| ( sK10_Xp @ SV20 @ SY51 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(229,plain,
! [SV26: a,SV19: a > $o] :
( ( ( SV19 @ SV26 )
= $false )
| ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
= $false )
| ( ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) )
= $false )
| ( ( SV19 @ ( sK7_Xz @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(230,plain,
! [SV25: a,SV20: a,SV21: a > $o] :
( ( ( SV21 @ SV20 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(231,plain,
! [SV20: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
= $true )
| ( ( ! [SY49: a] :
~ ( SV21 @ SY49 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(232,plain,
! [SV20: a,SV21: a > $o] :
( ( ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
| ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
= $true )
| ( ( ! [SY49: a] :
~ ( SV21 @ SY49 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(233,plain,
! [SV24: a,SV20: a] :
( ( ( ~ ! [SY50: a] :
( ~ ( sK10_Xp @ SV20 @ SY50 )
| ( cQ @ SV24 @ SY50 ) )
| ~ ! [SY51: a] :
( ~ ( cQ @ SV24 @ SY51 )
| ( sK10_Xp @ SV20 @ SY51 ) ) )
= $false )
| ( ( sK10_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(234,plain,
! [SV25: a,SV20: a,SV21: a > $o] :
( ( ( ! [SV27: a] :
( ( SV21 @ SV27 )
= ( sK10_Xp @ SV20 @ SV27 ) ) )
= $true )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[230]) ).
thf(235,plain,
! [SV25: a,SV20: a,SV21: a > $o] :
( ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[230]) ).
thf(236,plain,
! [SV20: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
= $true )
| ( ( ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
= $true )
| ( ( ! [SY49: a] :
~ ( SV21 @ SY49 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(237,plain,
! [SV20: a,SV21: a > $o] :
( ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( ! [SY49: a] :
~ ( SV21 @ SY49 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(238,plain,
! [SV24: a,SV20: a] :
( ( ( ~ ! [SY50: a] :
( ~ ( sK10_Xp @ SV20 @ SY50 )
| ( cQ @ SV24 @ SY50 ) ) )
= $false )
| ( ( sK10_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(239,plain,
! [SV20: a,SV24: a] :
( ( ( ~ ! [SY51: a] :
( ~ ( cQ @ SV24 @ SY51 )
| ( sK10_Xp @ SV20 @ SY51 ) ) )
= $false )
| ( ( sK10_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(240,plain,
! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
( ( ( ( SV21 @ SV28 )
= ( sK10_Xp @ SV20 @ SV28 ) )
= $true )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(241,plain,
! [SV20: a,SV21: a > $o] :
( ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
= $true )
| ( ( ! [SY49: a] :
~ ( SV21 @ SY49 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(242,plain,
! [SV20: a,SV29: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ SV29 ) )
= $true )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(243,plain,
! [SV24: a,SV20: a] :
( ( ( ! [SY50: a] :
( ~ ( sK10_Xp @ SV20 @ SY50 )
| ( cQ @ SV24 @ SY50 ) ) )
= $true )
| ( ( sK10_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(244,plain,
! [SV20: a,SV24: a] :
( ( ( ! [SY51: a] :
( ~ ( cQ @ SV24 @ SY51 )
| ( sK10_Xp @ SV20 @ SY51 ) ) )
= $true )
| ( ( sK10_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(245,plain,
! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
( ( ( ~ ( ( SV21 @ SV28 )
| ( sK10_Xp @ SV20 @ SV28 ) )
| ~ ( ~ ( SV21 @ SV28 )
| ~ ( sK10_Xp @ SV20 @ SV28 ) ) )
= $true )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[240]) ).
thf(246,plain,
! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
( ( ( ( SV21 @ SV28 )
= ( sK10_Xp @ SV20 @ SV28 ) )
= $true )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[240]) ).
thf(247,plain,
! [SV20: a,SV21: a > $o] :
( ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( ! [SY49: a] :
~ ( SV21 @ SY49 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(248,plain,
! [SV20: a,SV29: a,SV21: a > $o] :
( ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(249,plain,
! [SV24: a,SV30: a,SV20: a] :
( ( ( ~ ( sK10_Xp @ SV20 @ SV30 )
| ( cQ @ SV24 @ SV30 ) )
= $true )
| ( ( sK10_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(250,plain,
! [SV20: a,SV31: a,SV24: a] :
( ( ( ~ ( cQ @ SV24 @ SV31 )
| ( sK10_Xp @ SV20 @ SV31 ) )
= $true )
| ( ( sK10_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(251,plain,
! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
( ( ( ~ ( ( SV21 @ SV28 )
| ( sK10_Xp @ SV20 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( SV21 @ SV28 )
| ~ ( sK10_Xp @ SV20 @ SV28 ) ) )
= $true )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(252,plain,
! [SV20: a,SV32: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ SV32 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(253,plain,
! [SV29: a,SV20: a,SV21: a > $o] :
( ( ( SV21 @ SV20 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV29 )
= $false )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(254,plain,
! [SV24: a,SV30: a,SV20: a] :
( ( ( ~ ( sK10_Xp @ SV20 @ SV30 ) )
= $true )
| ( ( cQ @ SV24 @ SV30 )
= $true )
| ( ( sK10_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(255,plain,
! [SV20: a,SV31: a,SV24: a] :
( ( ( ~ ( cQ @ SV24 @ SV31 ) )
= $true )
| ( ( sK10_Xp @ SV20 @ SV31 )
= $true )
| ( ( sK10_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(256,plain,
! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
( ( ( ( SV21 @ SV28 )
| ( sK10_Xp @ SV20 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV28 )
| ~ ( sK10_Xp @ SV20 @ SV28 ) ) )
= $true )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(257,plain,
! [SV20: a,SV32: a,SV21: a > $o] :
( ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( ~ ( SV21 @ SV20 ) )
= $true )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(258,plain,
! [SV29: a,SV20: a,SV21: a > $o] :
( ( ( ! [SV33: a] :
( ( SV21 @ SV33 )
= ( sK10_Xp @ SV20 @ SV33 ) ) )
= $true )
| ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[253]) ).
thf(259,plain,
! [SV29: a,SV20: a,SV21: a > $o] :
( ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true )
| ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[253]) ).
thf(260,plain,
! [SV24: a,SV30: a,SV20: a] :
( ( ( sK10_Xp @ SV20 @ SV30 )
= $false )
| ( ( cQ @ SV24 @ SV30 )
= $true )
| ( ( sK10_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(261,plain,
! [SV20: a,SV31: a,SV24: a] :
( ( ( cQ @ SV24 @ SV31 )
= $false )
| ( ( sK10_Xp @ SV20 @ SV31 )
= $true )
| ( ( sK10_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(262,plain,
! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
( ( ( SV21 @ SV28 )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV28 )
| ~ ( sK10_Xp @ SV20 @ SV28 ) ) )
= $true )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(263,plain,
! [SV25: a,SV21: a > $o,SV28: a,SV20: a] :
( ( ( sK10_Xp @ SV20 @ SV28 )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV28 )
| ~ ( sK10_Xp @ SV20 @ SV28 ) ) )
= $true )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(264,plain,
! [SV32: a,SV20: a,SV21: a > $o] :
( ( ( SV21 @ SV20 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(265,plain,
! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
( ( ( ( SV21 @ SV34 )
= ( sK10_Xp @ SV20 @ SV34 ) )
= $true )
| ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(266,plain,
! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ SV28 )
| ~ ( sK10_Xp @ SV20 @ SV28 ) )
= $false )
| ( ( SV21 @ SV28 )
= $false )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(267,plain,
! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ SV28 )
| ~ ( sK10_Xp @ SV20 @ SV28 ) )
= $false )
| ( ( sK10_Xp @ SV20 @ SV28 )
= $false )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(268,plain,
! [SV32: a,SV20: a,SV21: a > $o] :
( ( ( ! [SV35: a] :
( ( SV21 @ SV35 )
= ( sK10_Xp @ SV20 @ SV35 ) ) )
= $true )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[264]) ).
thf(269,plain,
! [SV32: a,SV20: a,SV21: a > $o] :
( ( ( SV21
= ( sK10_Xp @ SV20 ) )
= $true )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[264]) ).
thf(270,plain,
! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
( ( ( ~ ( ( SV21 @ SV34 )
| ( sK10_Xp @ SV20 @ SV34 ) )
| ~ ( ~ ( SV21 @ SV34 )
| ~ ( sK10_Xp @ SV20 @ SV34 ) ) )
= $true )
| ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[265]) ).
thf(271,plain,
! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
( ( ( ( SV21 @ SV34 )
= ( sK10_Xp @ SV20 @ SV34 ) )
= $true )
| ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[265]) ).
thf(272,plain,
! [SV20: a,SV25: a,SV28: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ SV28 ) )
= $false )
| ( ( SV21 @ SV28 )
= $false )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(273,plain,
! [SV25: a,SV21: a > $o,SV28: a,SV20: a] :
( ( ( ~ ( sK10_Xp @ SV20 @ SV28 ) )
= $false )
| ( ( SV21 @ SV28 )
= $false )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(274,plain,
! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ SV28 ) )
= $false )
| ( ( sK10_Xp @ SV20 @ SV28 )
= $false )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(275,plain,
! [SV25: a,SV21: a > $o,SV28: a,SV20: a] :
( ( ( ~ ( sK10_Xp @ SV20 @ SV28 ) )
= $false )
| ( ( sK10_Xp @ SV20 @ SV28 )
= $false )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(276,plain,
! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
( ( ( ( SV21 @ SV36 )
= ( sK10_Xp @ SV20 @ SV36 ) )
= $true )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(277,plain,
! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
( ( ( ~ ( ( SV21 @ SV34 )
| ( sK10_Xp @ SV20 @ SV34 ) ) )
= $true )
| ( ( ~ ( ~ ( SV21 @ SV34 )
| ~ ( sK10_Xp @ SV20 @ SV34 ) ) )
= $true )
| ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(278,plain,
! [SV20: a,SV25: a,SV28: a,SV21: a > $o] :
( ( ( SV21 @ SV28 )
= $true )
| ( ( SV21 @ SV28 )
= $false )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(279,plain,
! [SV25: a,SV21: a > $o,SV28: a,SV20: a] :
( ( ( sK10_Xp @ SV20 @ SV28 )
= $true )
| ( ( SV21 @ SV28 )
= $false )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(280,plain,
! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
( ( ( SV21 @ SV28 )
= $true )
| ( ( sK10_Xp @ SV20 @ SV28 )
= $false )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(281,plain,
! [SV25: a,SV21: a > $o,SV28: a,SV20: a] :
( ( ( sK10_Xp @ SV20 @ SV28 )
= $true )
| ( ( sK10_Xp @ SV20 @ SV28 )
= $false )
| ( ( SV21 @ SV25 )
= $false )
| ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(282,plain,
! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
( ( ( ~ ( ( SV21 @ SV36 )
| ( sK10_Xp @ SV20 @ SV36 ) )
| ~ ( ~ ( SV21 @ SV36 )
| ~ ( sK10_Xp @ SV20 @ SV36 ) ) )
= $true )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[276]) ).
thf(283,plain,
! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
( ( ( ( SV21 @ SV36 )
= ( sK10_Xp @ SV20 @ SV36 ) )
= $true )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[276]) ).
thf(284,plain,
! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
( ( ( ( SV21 @ SV34 )
| ( sK10_Xp @ SV20 @ SV34 ) )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV34 )
| ~ ( sK10_Xp @ SV20 @ SV34 ) ) )
= $true )
| ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(285,plain,
! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
( ( ( ~ ( ( SV21 @ SV36 )
| ( sK10_Xp @ SV20 @ SV36 ) ) )
= $true )
| ( ( ~ ( ~ ( SV21 @ SV36 )
| ~ ( sK10_Xp @ SV20 @ SV36 ) ) )
= $true )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(286,plain,
! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
( ( ( SV21 @ SV34 )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV34 )
| ~ ( sK10_Xp @ SV20 @ SV34 ) ) )
= $true )
| ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(287,plain,
! [SV29: a,SV21: a > $o,SV34: a,SV20: a] :
( ( ( sK10_Xp @ SV20 @ SV34 )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV34 )
| ~ ( sK10_Xp @ SV20 @ SV34 ) ) )
= $true )
| ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(288,plain,
! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
( ( ( ( SV21 @ SV36 )
| ( sK10_Xp @ SV20 @ SV36 ) )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV36 )
| ~ ( sK10_Xp @ SV20 @ SV36 ) ) )
= $true )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(289,plain,
! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ SV34 )
| ~ ( sK10_Xp @ SV20 @ SV34 ) )
= $false )
| ( ( SV21 @ SV34 )
= $false )
| ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(290,plain,
! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ SV34 )
| ~ ( sK10_Xp @ SV20 @ SV34 ) )
= $false )
| ( ( sK10_Xp @ SV20 @ SV34 )
= $false )
| ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(291,plain,
! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
( ( ( SV21 @ SV36 )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV36 )
| ~ ( sK10_Xp @ SV20 @ SV36 ) ) )
= $true )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(292,plain,
! [SV32: a,SV21: a > $o,SV36: a,SV20: a] :
( ( ( sK10_Xp @ SV20 @ SV36 )
= $false )
| ( ( ~ ( ~ ( SV21 @ SV36 )
| ~ ( sK10_Xp @ SV20 @ SV36 ) ) )
= $true )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(293,plain,
! [SV20: a,SV29: a,SV34: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ SV34 ) )
= $false )
| ( ( SV21 @ SV34 )
= $false )
| ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(294,plain,
! [SV29: a,SV21: a > $o,SV34: a,SV20: a] :
( ( ( ~ ( sK10_Xp @ SV20 @ SV34 ) )
= $false )
| ( ( SV21 @ SV34 )
= $false )
| ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(295,plain,
! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ SV34 ) )
= $false )
| ( ( sK10_Xp @ SV20 @ SV34 )
= $false )
| ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(296,plain,
! [SV29: a,SV21: a > $o,SV34: a,SV20: a] :
( ( ( ~ ( sK10_Xp @ SV20 @ SV34 ) )
= $false )
| ( ( sK10_Xp @ SV20 @ SV34 )
= $false )
| ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(297,plain,
! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ SV36 )
| ~ ( sK10_Xp @ SV20 @ SV36 ) )
= $false )
| ( ( SV21 @ SV36 )
= $false )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(298,plain,
! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ SV36 )
| ~ ( sK10_Xp @ SV20 @ SV36 ) )
= $false )
| ( ( sK10_Xp @ SV20 @ SV36 )
= $false )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(299,plain,
! [SV20: a,SV29: a,SV34: a,SV21: a > $o] :
( ( ( SV21 @ SV34 )
= $true )
| ( ( SV21 @ SV34 )
= $false )
| ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(300,plain,
! [SV29: a,SV21: a > $o,SV34: a,SV20: a] :
( ( ( sK10_Xp @ SV20 @ SV34 )
= $true )
| ( ( SV21 @ SV34 )
= $false )
| ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(301,plain,
! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
( ( ( SV21 @ SV34 )
= $true )
| ( ( sK10_Xp @ SV20 @ SV34 )
= $false )
| ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(302,plain,
! [SV29: a,SV21: a > $o,SV34: a,SV20: a] :
( ( ( sK10_Xp @ SV20 @ SV34 )
= $true )
| ( ( sK10_Xp @ SV20 @ SV34 )
= $false )
| ( ( SV21 @ SV29 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $true )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(303,plain,
! [SV20: a,SV32: a,SV36: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ SV36 ) )
= $false )
| ( ( SV21 @ SV36 )
= $false )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(304,plain,
! [SV32: a,SV21: a > $o,SV36: a,SV20: a] :
( ( ( ~ ( sK10_Xp @ SV20 @ SV36 ) )
= $false )
| ( ( SV21 @ SV36 )
= $false )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(305,plain,
! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ SV36 ) )
= $false )
| ( ( sK10_Xp @ SV20 @ SV36 )
= $false )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(306,plain,
! [SV32: a,SV21: a > $o,SV36: a,SV20: a] :
( ( ( ~ ( sK10_Xp @ SV20 @ SV36 ) )
= $false )
| ( ( sK10_Xp @ SV20 @ SV36 )
= $false )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(307,plain,
! [SV20: a,SV32: a,SV36: a,SV21: a > $o] :
( ( ( SV21 @ SV36 )
= $true )
| ( ( SV21 @ SV36 )
= $false )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(308,plain,
! [SV32: a,SV21: a > $o,SV36: a,SV20: a] :
( ( ( sK10_Xp @ SV20 @ SV36 )
= $true )
| ( ( SV21 @ SV36 )
= $false )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(309,plain,
! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
( ( ( SV21 @ SV36 )
= $true )
| ( ( sK10_Xp @ SV20 @ SV36 )
= $false )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(310,plain,
! [SV32: a,SV21: a > $o,SV36: a,SV20: a] :
( ( ( sK10_Xp @ SV20 @ SV36 )
= $true )
| ( ( sK10_Xp @ SV20 @ SV36 )
= $false )
| ( ( SV21 @ SV32 )
= $false )
| ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
= $false )
| ( ( SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(311,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[176,310,309,308,307,302,301,300,299,283,281,280,279,278,271,269,261,260,259,246,235,229,220,213,198,197,181]) ).
thf(312,plain,
( ( ! [Xx: a] :
( ! [SY25: a > $o] :
( ( ( SY25 @ ( sK12_Xx0 @ SY25 @ Xx ) )
& ( ~ ( SY25 @ ( sK13_SY33 @ SY25 @ Xx ) )
| ~ ( cQ @ ( sK12_Xx0 @ SY25 @ Xx ) @ ( sK13_SY33 @ SY25 @ Xx ) ) )
& ( ( SY25 @ ( sK13_SY33 @ SY25 @ Xx ) )
| ( cQ @ ( sK12_Xx0 @ SY25 @ Xx ) @ ( sK13_SY33 @ SY25 @ Xx ) ) ) )
| ! [Xz: a] :
~ ( SY25 @ Xz )
| ~ ( SY25 @ Xx )
| ( SY25
= ( sK10_Xp @ Xx ) ) )
& ! [SY29: a] :
( ~ ( sK10_Xp @ Xx @ SY29 )
| ( ! [SY30: a] :
( ~ ( sK10_Xp @ Xx @ SY30 )
| ( cQ @ SY29 @ SY30 ) )
& ! [SY31: a] :
( ~ ( cQ @ SY29 @ SY31 )
| ( sK10_Xp @ Xx @ SY31 ) ) ) )
& ( sK10_Xp @ Xx @ ( sK11_SY32 @ Xx ) )
& ( sK10_Xp @ Xx @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(313,plain,
( ( ! [Xp: a > $o] :
( ( ( Xp @ ( sK8_Xx @ Xp ) )
& ( ~ ( Xp @ ( sK9_SY24 @ Xp ) )
| ~ ( cQ @ ( sK8_Xx @ Xp ) @ ( sK9_SY24 @ Xp ) ) )
& ( ( Xp @ ( sK9_SY24 @ Xp ) )
| ( cQ @ ( sK8_Xx @ Xp ) @ ( sK9_SY24 @ Xp ) ) ) )
| ! [Xz: a] :
~ ( Xp @ Xz )
| ( Xp @ ( sK7_Xz @ Xp ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(314,plain,
( ( ( cQ @ sK4_Xx @ sK5_SY21 )
& ( cQ @ sK5_SY21 @ sK6_SY23 )
& ~ ( cQ @ sK4_Xx @ sK6_SY23 ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(315,plain,
( ( ! [SX0: a] :
~ ( ~ ! [SX1: a > $o] :
( ~ ( ~ ( SX1 @ ( sK12_Xx0 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX1 @ ( sK13_SY33 @ SX1 @ SX0 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SX1 @ SX0 ) @ ( sK13_SY33 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK13_SY33 @ SX1 @ SX0 ) )
| ( cQ @ ( sK12_Xx0 @ SX1 @ SX0 ) @ ( sK13_SY33 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: a] :
~ ( SX1 @ SX2 )
| ~ ( SX1 @ SX0 )
| ( SX1
= ( sK10_Xp @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK10_Xp @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: a] :
( ~ ( sK10_Xp @ SX0 @ SX2 )
| ( cQ @ SX1 @ SX2 ) )
| ~ ! [SX2: a] :
( ~ ( cQ @ SX1 @ SX2 )
| ( sK10_Xp @ SX0 @ SX2 ) ) ) )
| ~ ( sK10_Xp @ SX0 @ ( sK11_SY32 @ SX0 ) ) )
| ~ ( sK10_Xp @ SX0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[312]) ).
thf(316,plain,
( ( ~ ( ~ ~ ( ~ ( cQ @ sK4_Xx @ sK5_SY21 )
| ~ ( cQ @ sK5_SY21 @ sK6_SY23 ) )
| ~ ~ ( cQ @ sK4_Xx @ sK6_SY23 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(317,plain,
( ( ! [SX0: a > $o] :
( ~ ( ~ ( SX0 @ ( sK8_Xx @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK9_SY24 @ SX0 ) )
| ~ ( cQ @ ( sK8_Xx @ SX0 ) @ ( sK9_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK9_SY24 @ SX0 ) )
| ( cQ @ ( sK8_Xx @ SX0 ) @ ( sK9_SY24 @ SX0 ) ) ) ) )
| ! [SX1: a] :
~ ( SX0 @ SX1 )
| ( SX0 @ ( sK7_Xz @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(318,plain,
! [SV37: a] :
( ( ~ ( ~ ! [SY52: a > $o] :
( ~ ( ~ ( SY52 @ ( sK12_Xx0 @ SY52 @ SV37 ) )
| ~ ~ ( ~ ( ~ ( SY52 @ ( sK13_SY33 @ SY52 @ SV37 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SY52 @ SV37 ) @ ( sK13_SY33 @ SY52 @ SV37 ) ) )
| ~ ( ( SY52 @ ( sK13_SY33 @ SY52 @ SV37 ) )
| ( cQ @ ( sK12_Xx0 @ SY52 @ SV37 ) @ ( sK13_SY33 @ SY52 @ SV37 ) ) ) ) )
| ! [SX2: a] :
~ ( SY52 @ SX2 )
| ~ ( SY52 @ SV37 )
| ( SY52
= ( sK10_Xp @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY54: a] :
( ~ ( sK10_Xp @ SV37 @ SY54 )
| ~ ( ~ ! [SY55: a] :
( ~ ( sK10_Xp @ SV37 @ SY55 )
| ( cQ @ SY54 @ SY55 ) )
| ~ ! [SY56: a] :
( ~ ( cQ @ SY54 @ SY56 )
| ( sK10_Xp @ SV37 @ SY56 ) ) ) )
| ~ ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) ) )
| ~ ( sK10_Xp @ SV37 @ SV37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(319,plain,
( ( ~ ~ ( ~ ( cQ @ sK4_Xx @ sK5_SY21 )
| ~ ( cQ @ sK5_SY21 @ sK6_SY23 ) )
| ~ ~ ( cQ @ sK4_Xx @ sK6_SY23 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(320,plain,
! [SV38: a > $o] :
( ( ~ ( ~ ( SV38 @ ( sK8_Xx @ SV38 ) )
| ~ ~ ( ~ ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) )
| ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
| ~ ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
| ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) ) ) )
| ! [SY57: a] :
~ ( SV38 @ SY57 )
| ( SV38 @ ( sK7_Xz @ SV38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(321,plain,
! [SV37: a] :
( ( ~ ! [SY52: a > $o] :
( ~ ( ~ ( SY52 @ ( sK12_Xx0 @ SY52 @ SV37 ) )
| ~ ~ ( ~ ( ~ ( SY52 @ ( sK13_SY33 @ SY52 @ SV37 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SY52 @ SV37 ) @ ( sK13_SY33 @ SY52 @ SV37 ) ) )
| ~ ( ( SY52 @ ( sK13_SY33 @ SY52 @ SV37 ) )
| ( cQ @ ( sK12_Xx0 @ SY52 @ SV37 ) @ ( sK13_SY33 @ SY52 @ SV37 ) ) ) ) )
| ! [SX2: a] :
~ ( SY52 @ SX2 )
| ~ ( SY52 @ SV37 )
| ( SY52
= ( sK10_Xp @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY54: a] :
( ~ ( sK10_Xp @ SV37 @ SY54 )
| ~ ( ~ ! [SY55: a] :
( ~ ( sK10_Xp @ SV37 @ SY55 )
| ( cQ @ SY54 @ SY55 ) )
| ~ ! [SY56: a] :
( ~ ( cQ @ SY54 @ SY56 )
| ( sK10_Xp @ SV37 @ SY56 ) ) ) )
| ~ ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) ) )
| ~ ( sK10_Xp @ SV37 @ SV37 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(322,plain,
( ( ~ ~ ( ~ ( cQ @ sK4_Xx @ sK5_SY21 )
| ~ ( cQ @ sK5_SY21 @ sK6_SY23 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[319]) ).
thf(323,plain,
( ( ~ ~ ( cQ @ sK4_Xx @ sK6_SY23 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[319]) ).
thf(324,plain,
! [SV38: a > $o] :
( ( ( ~ ( ~ ( SV38 @ ( sK8_Xx @ SV38 ) )
| ~ ~ ( ~ ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) )
| ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
| ~ ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
| ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) ) ) )
| ! [SY57: a] :
~ ( SV38 @ SY57 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(325,plain,
! [SV37: a] :
( ( ~ ! [SY52: a > $o] :
( ~ ( ~ ( SY52 @ ( sK12_Xx0 @ SY52 @ SV37 ) )
| ~ ~ ( ~ ( ~ ( SY52 @ ( sK13_SY33 @ SY52 @ SV37 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SY52 @ SV37 ) @ ( sK13_SY33 @ SY52 @ SV37 ) ) )
| ~ ( ( SY52 @ ( sK13_SY33 @ SY52 @ SV37 ) )
| ( cQ @ ( sK12_Xx0 @ SY52 @ SV37 ) @ ( sK13_SY33 @ SY52 @ SV37 ) ) ) ) )
| ! [SX2: a] :
~ ( SY52 @ SX2 )
| ~ ( SY52 @ SV37 )
| ( SY52
= ( sK10_Xp @ SV37 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(326,plain,
! [SV37: a] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY54: a] :
( ~ ( sK10_Xp @ SV37 @ SY54 )
| ~ ( ~ ! [SY55: a] :
( ~ ( sK10_Xp @ SV37 @ SY55 )
| ( cQ @ SY54 @ SY55 ) )
| ~ ! [SY56: a] :
( ~ ( cQ @ SY54 @ SY56 )
| ( sK10_Xp @ SV37 @ SY56 ) ) ) )
| ~ ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) ) )
| ~ ( sK10_Xp @ SV37 @ SV37 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(327,plain,
( ( ~ ( ~ ( cQ @ sK4_Xx @ sK5_SY21 )
| ~ ( cQ @ sK5_SY21 @ sK6_SY23 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(328,plain,
( ( ~ ( cQ @ sK4_Xx @ sK6_SY23 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(329,plain,
! [SV38: a > $o] :
( ( ( ~ ( ~ ( SV38 @ ( sK8_Xx @ SV38 ) )
| ~ ~ ( ~ ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) )
| ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
| ~ ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
| ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) ) ) ) )
= $true )
| ( ( ! [SY57: a] :
~ ( SV38 @ SY57 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(330,plain,
! [SV37: a] :
( ( ! [SY52: a > $o] :
( ~ ( ~ ( SY52 @ ( sK12_Xx0 @ SY52 @ SV37 ) )
| ~ ~ ( ~ ( ~ ( SY52 @ ( sK13_SY33 @ SY52 @ SV37 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SY52 @ SV37 ) @ ( sK13_SY33 @ SY52 @ SV37 ) ) )
| ~ ( ( SY52 @ ( sK13_SY33 @ SY52 @ SV37 ) )
| ( cQ @ ( sK12_Xx0 @ SY52 @ SV37 ) @ ( sK13_SY33 @ SY52 @ SV37 ) ) ) ) )
| ! [SX2: a] :
~ ( SY52 @ SX2 )
| ~ ( SY52 @ SV37 )
| ( SY52
= ( sK10_Xp @ SV37 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(331,plain,
! [SV37: a] :
( ( ~ ( ~ ~ ( ~ ! [SY54: a] :
( ~ ( sK10_Xp @ SV37 @ SY54 )
| ~ ( ~ ! [SY55: a] :
( ~ ( sK10_Xp @ SV37 @ SY55 )
| ( cQ @ SY54 @ SY55 ) )
| ~ ! [SY56: a] :
( ~ ( cQ @ SY54 @ SY56 )
| ( sK10_Xp @ SV37 @ SY56 ) ) ) )
| ~ ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) ) )
| ~ ( sK10_Xp @ SV37 @ SV37 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(332,plain,
( ( ~ ( cQ @ sK4_Xx @ sK5_SY21 )
| ~ ( cQ @ sK5_SY21 @ sK6_SY23 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(333,plain,
( ( cQ @ sK4_Xx @ sK6_SY23 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(334,plain,
! [SV38: a > $o] :
( ( ( ~ ( SV38 @ ( sK8_Xx @ SV38 ) )
| ~ ~ ( ~ ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) )
| ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
| ~ ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
| ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) ) ) )
= $false )
| ( ( ! [SY57: a] :
~ ( SV38 @ SY57 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(335,plain,
! [SV37: a,SV39: a > $o] :
( ( ~ ( ~ ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
| ~ ~ ( ~ ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
| ~ ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) ) )
| ! [SY58: a] :
~ ( SV39 @ SY58 )
| ~ ( SV39 @ SV37 )
| ( SV39
= ( sK10_Xp @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(336,plain,
! [SV37: a] :
( ( ~ ~ ( ~ ! [SY54: a] :
( ~ ( sK10_Xp @ SV37 @ SY54 )
| ~ ( ~ ! [SY55: a] :
( ~ ( sK10_Xp @ SV37 @ SY55 )
| ( cQ @ SY54 @ SY55 ) )
| ~ ! [SY56: a] :
( ~ ( cQ @ SY54 @ SY56 )
| ( sK10_Xp @ SV37 @ SY56 ) ) ) )
| ~ ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) ) )
| ~ ( sK10_Xp @ SV37 @ SV37 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(337,plain,
( ( ~ ( cQ @ sK4_Xx @ sK5_SY21 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[332]) ).
thf(338,plain,
( ( ~ ( cQ @ sK5_SY21 @ sK6_SY23 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[332]) ).
thf(339,plain,
! [SV38: a > $o] :
( ( ( ~ ( SV38 @ ( sK8_Xx @ SV38 ) ) )
= $false )
| ( ( ! [SY57: a] :
~ ( SV38 @ SY57 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(340,plain,
! [SV38: a > $o] :
( ( ( ~ ~ ( ~ ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) )
| ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
| ~ ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
| ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) ) ) )
= $false )
| ( ( ! [SY57: a] :
~ ( SV38 @ SY57 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(341,plain,
! [SV37: a,SV39: a > $o] :
( ( ( ~ ( ~ ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
| ~ ~ ( ~ ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
| ~ ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) ) )
| ! [SY58: a] :
~ ( SV39 @ SY58 )
| ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(342,plain,
! [SV37: a] :
( ( ~ ~ ( ~ ! [SY54: a] :
( ~ ( sK10_Xp @ SV37 @ SY54 )
| ~ ( ~ ! [SY55: a] :
( ~ ( sK10_Xp @ SV37 @ SY55 )
| ( cQ @ SY54 @ SY55 ) )
| ~ ! [SY56: a] :
( ~ ( cQ @ SY54 @ SY56 )
| ( sK10_Xp @ SV37 @ SY56 ) ) ) )
| ~ ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(343,plain,
! [SV37: a] :
( ( ~ ( sK10_Xp @ SV37 @ SV37 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(344,plain,
( ( cQ @ sK4_Xx @ sK5_SY21 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(345,plain,
( ( cQ @ sK5_SY21 @ sK6_SY23 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(346,plain,
! [SV38: a > $o] :
( ( ( SV38 @ ( sK8_Xx @ SV38 ) )
= $true )
| ( ( ! [SY57: a] :
~ ( SV38 @ SY57 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[339]) ).
thf(347,plain,
! [SV38: a > $o] :
( ( ( ~ ( ~ ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) )
| ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
| ~ ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
| ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) ) ) )
= $true )
| ( ( ! [SY57: a] :
~ ( SV38 @ SY57 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(348,plain,
! [SV37: a,SV39: a > $o] :
( ( ( ~ ( ~ ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
| ~ ~ ( ~ ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
| ~ ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) ) )
| ! [SY58: a] :
~ ( SV39 @ SY58 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(349,plain,
! [SV37: a] :
( ( ~ ( ~ ! [SY54: a] :
( ~ ( sK10_Xp @ SV37 @ SY54 )
| ~ ( ~ ! [SY55: a] :
( ~ ( sK10_Xp @ SV37 @ SY55 )
| ( cQ @ SY54 @ SY55 ) )
| ~ ! [SY56: a] :
( ~ ( cQ @ SY54 @ SY56 )
| ( sK10_Xp @ SV37 @ SY56 ) ) ) )
| ~ ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(350,plain,
! [SV37: a] :
( ( sK10_Xp @ SV37 @ SV37 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(351,plain,
! [SV40: a,SV38: a > $o] :
( ( ( ~ ( SV38 @ SV40 ) )
= $true )
| ( ( SV38 @ ( sK8_Xx @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(352,plain,
! [SV38: a > $o] :
( ( ( ~ ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) )
| ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
| ~ ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
| ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) ) )
= $false )
| ( ( ! [SY57: a] :
~ ( SV38 @ SY57 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(353,plain,
! [SV37: a,SV39: a > $o] :
( ( ( ~ ( ~ ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
| ~ ~ ( ~ ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
| ~ ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) ) ) )
= $true )
| ( ( ! [SY58: a] :
~ ( SV39 @ SY58 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(354,plain,
! [SV37: a] :
( ( ~ ! [SY54: a] :
( ~ ( sK10_Xp @ SV37 @ SY54 )
| ~ ( ~ ! [SY55: a] :
( ~ ( sK10_Xp @ SV37 @ SY55 )
| ( cQ @ SY54 @ SY55 ) )
| ~ ! [SY56: a] :
( ~ ( cQ @ SY54 @ SY56 )
| ( sK10_Xp @ SV37 @ SY56 ) ) ) )
| ~ ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(355,plain,
! [SV40: a,SV38: a > $o] :
( ( ( SV38 @ SV40 )
= $false )
| ( ( SV38 @ ( sK8_Xx @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(356,plain,
! [SV38: a > $o] :
( ( ( ~ ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) )
| ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) ) )
= $false )
| ( ( ! [SY57: a] :
~ ( SV38 @ SY57 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(357,plain,
! [SV38: a > $o] :
( ( ( ~ ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
| ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) ) )
= $false )
| ( ( ! [SY57: a] :
~ ( SV38 @ SY57 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(358,plain,
! [SV37: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
| ~ ~ ( ~ ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
| ~ ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) ) )
= $false )
| ( ( ! [SY58: a] :
~ ( SV39 @ SY58 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(359,plain,
! [SV37: a] :
( ( ~ ! [SY54: a] :
( ~ ( sK10_Xp @ SV37 @ SY54 )
| ~ ( ~ ! [SY55: a] :
( ~ ( sK10_Xp @ SV37 @ SY55 )
| ( cQ @ SY54 @ SY55 ) )
| ~ ! [SY56: a] :
( ~ ( cQ @ SY54 @ SY56 )
| ( sK10_Xp @ SV37 @ SY56 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[354]) ).
thf(360,plain,
! [SV37: a] :
( ( ~ ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[354]) ).
thf(361,plain,
! [SV38: a > $o] :
( ( ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) )
| ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
= $true )
| ( ( ! [SY57: a] :
~ ( SV38 @ SY57 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(362,plain,
! [SV38: a > $o] :
( ( ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
| ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
= $true )
| ( ( ! [SY57: a] :
~ ( SV38 @ SY57 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(363,plain,
! [SV37: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) ) )
= $false )
| ( ( ! [SY58: a] :
~ ( SV39 @ SY58 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(364,plain,
! [SV37: a,SV39: a > $o] :
( ( ( ~ ~ ( ~ ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
| ~ ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) ) )
= $false )
| ( ( ! [SY58: a] :
~ ( SV39 @ SY58 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(365,plain,
! [SV37: a] :
( ( ! [SY54: a] :
( ~ ( sK10_Xp @ SV37 @ SY54 )
| ~ ( ~ ! [SY55: a] :
( ~ ( sK10_Xp @ SV37 @ SY55 )
| ( cQ @ SY54 @ SY55 ) )
| ~ ! [SY56: a] :
( ~ ( cQ @ SY54 @ SY56 )
| ( sK10_Xp @ SV37 @ SY56 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(366,plain,
! [SV37: a] :
( ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(367,plain,
! [SV38: a > $o] :
( ( ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) ) )
= $true )
| ( ( ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
= $true )
| ( ( ! [SY57: a] :
~ ( SV38 @ SY57 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(368,plain,
! [SV38: a > $o] :
( ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
= $true )
| ( ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) )
= $true )
| ( ( ! [SY57: a] :
~ ( SV38 @ SY57 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(369,plain,
! [SV37: a,SV39: a > $o] :
( ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( ! [SY58: a] :
~ ( SV39 @ SY58 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(370,plain,
! [SV37: a,SV39: a > $o] :
( ( ( ~ ( ~ ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
| ~ ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) ) )
= $true )
| ( ( ! [SY58: a] :
~ ( SV39 @ SY58 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(371,plain,
! [SV41: a,SV37: a] :
( ( ~ ( sK10_Xp @ SV37 @ SV41 )
| ~ ( ~ ! [SY59: a] :
( ~ ( sK10_Xp @ SV37 @ SY59 )
| ( cQ @ SV41 @ SY59 ) )
| ~ ! [SY60: a] :
( ~ ( cQ @ SV41 @ SY60 )
| ( sK10_Xp @ SV37 @ SY60 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(372,plain,
! [SV38: a > $o] :
( ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
= $false )
| ( ( ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
= $true )
| ( ( ! [SY57: a] :
~ ( SV38 @ SY57 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(373,plain,
! [SV42: a,SV38: a > $o] :
( ( ( ~ ( SV38 @ SV42 ) )
= $true )
| ( ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(374,plain,
! [SV37: a,SV43: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ SV43 ) )
= $true )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(375,plain,
! [SV37: a,SV39: a > $o] :
( ( ( ~ ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
| ~ ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) )
= $false )
| ( ( ! [SY58: a] :
~ ( SV39 @ SY58 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(376,plain,
! [SV41: a,SV37: a] :
( ( ( ~ ( sK10_Xp @ SV37 @ SV41 ) )
= $true )
| ( ( ~ ( ~ ! [SY59: a] :
( ~ ( sK10_Xp @ SV37 @ SY59 )
| ( cQ @ SV41 @ SY59 ) )
| ~ ! [SY60: a] :
( ~ ( cQ @ SV41 @ SY60 )
| ( sK10_Xp @ SV37 @ SY60 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(377,plain,
! [SV38: a > $o] :
( ( ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
= $false )
| ( ( ! [SY57: a] :
~ ( SV38 @ SY57 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(378,plain,
! [SV42: a,SV38: a > $o] :
( ( ( SV38 @ SV42 )
= $false )
| ( ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(379,plain,
! [SV37: a,SV43: a,SV39: a > $o] :
( ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(380,plain,
! [SV37: a,SV39: a > $o] :
( ( ( ~ ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) )
= $false )
| ( ( ! [SY58: a] :
~ ( SV39 @ SY58 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(381,plain,
! [SV37: a,SV39: a > $o] :
( ( ( ~ ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) )
= $false )
| ( ( ! [SY58: a] :
~ ( SV39 @ SY58 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(382,plain,
! [SV41: a,SV37: a] :
( ( ( sK10_Xp @ SV37 @ SV41 )
= $false )
| ( ( ~ ( ~ ! [SY59: a] :
( ~ ( sK10_Xp @ SV37 @ SY59 )
| ( cQ @ SV41 @ SY59 ) )
| ~ ! [SY60: a] :
( ~ ( cQ @ SV41 @ SY60 )
| ( sK10_Xp @ SV37 @ SY60 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(383,plain,
! [SV44: a,SV38: a > $o] :
( ( ( ~ ( SV38 @ SV44 ) )
= $true )
| ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
= $false )
| ( ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(384,plain,
! [SV43: a,SV37: a,SV39: a > $o] :
( ( ( SV39 @ SV37 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(385,plain,
! [SV37: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
= $true )
| ( ( ! [SY58: a] :
~ ( SV39 @ SY58 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[380]) ).
thf(386,plain,
! [SV37: a,SV39: a > $o] :
( ( ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
| ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
= $true )
| ( ( ! [SY58: a] :
~ ( SV39 @ SY58 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(387,plain,
! [SV41: a,SV37: a] :
( ( ( ~ ! [SY59: a] :
( ~ ( sK10_Xp @ SV37 @ SY59 )
| ( cQ @ SV41 @ SY59 ) )
| ~ ! [SY60: a] :
( ~ ( cQ @ SV41 @ SY60 )
| ( sK10_Xp @ SV37 @ SY60 ) ) )
= $false )
| ( ( sK10_Xp @ SV37 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(388,plain,
! [SV44: a,SV38: a > $o] :
( ( ( SV38 @ SV44 )
= $false )
| ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
= $false )
| ( ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK7_Xz @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(389,plain,
! [SV43: a,SV37: a,SV39: a > $o] :
( ( ( ! [SV45: a] :
( ( SV39 @ SV45 )
= ( sK10_Xp @ SV37 @ SV45 ) ) )
= $true )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[384]) ).
thf(390,plain,
! [SV43: a,SV37: a,SV39: a > $o] :
( ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[384]) ).
thf(391,plain,
! [SV37: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
= $true )
| ( ( ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
= $true )
| ( ( ! [SY58: a] :
~ ( SV39 @ SY58 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(392,plain,
! [SV37: a,SV39: a > $o] :
( ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( ! [SY58: a] :
~ ( SV39 @ SY58 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(393,plain,
! [SV41: a,SV37: a] :
( ( ( ~ ! [SY59: a] :
( ~ ( sK10_Xp @ SV37 @ SY59 )
| ( cQ @ SV41 @ SY59 ) ) )
= $false )
| ( ( sK10_Xp @ SV37 @ SV41 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[387]) ).
thf(394,plain,
! [SV37: a,SV41: a] :
( ( ( ~ ! [SY60: a] :
( ~ ( cQ @ SV41 @ SY60 )
| ( sK10_Xp @ SV37 @ SY60 ) ) )
= $false )
| ( ( sK10_Xp @ SV37 @ SV41 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[387]) ).
thf(395,plain,
! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
( ( ( ( SV39 @ SV46 )
= ( sK10_Xp @ SV37 @ SV46 ) )
= $true )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(396,plain,
! [SV37: a,SV39: a > $o] :
( ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
= $true )
| ( ( ! [SY58: a] :
~ ( SV39 @ SY58 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(397,plain,
! [SV37: a,SV47: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ SV47 ) )
= $true )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(398,plain,
! [SV41: a,SV37: a] :
( ( ( ! [SY59: a] :
( ~ ( sK10_Xp @ SV37 @ SY59 )
| ( cQ @ SV41 @ SY59 ) ) )
= $true )
| ( ( sK10_Xp @ SV37 @ SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[393]) ).
thf(399,plain,
! [SV37: a,SV41: a] :
( ( ( ! [SY60: a] :
( ~ ( cQ @ SV41 @ SY60 )
| ( sK10_Xp @ SV37 @ SY60 ) ) )
= $true )
| ( ( sK10_Xp @ SV37 @ SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(400,plain,
! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
( ( ( ~ ( ( SV39 @ SV46 )
| ( sK10_Xp @ SV37 @ SV46 ) )
| ~ ( ~ ( SV39 @ SV46 )
| ~ ( sK10_Xp @ SV37 @ SV46 ) ) )
= $true )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[395]) ).
thf(401,plain,
! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
( ( ( ( SV39 @ SV46 )
= ( sK10_Xp @ SV37 @ SV46 ) )
= $true )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[395]) ).
thf(402,plain,
! [SV37: a,SV39: a > $o] :
( ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( ! [SY58: a] :
~ ( SV39 @ SY58 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(403,plain,
! [SV37: a,SV47: a,SV39: a > $o] :
( ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(404,plain,
! [SV41: a,SV48: a,SV37: a] :
( ( ( ~ ( sK10_Xp @ SV37 @ SV48 )
| ( cQ @ SV41 @ SV48 ) )
= $true )
| ( ( sK10_Xp @ SV37 @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(405,plain,
! [SV37: a,SV49: a,SV41: a] :
( ( ( ~ ( cQ @ SV41 @ SV49 )
| ( sK10_Xp @ SV37 @ SV49 ) )
= $true )
| ( ( sK10_Xp @ SV37 @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(406,plain,
! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
( ( ( ~ ( ( SV39 @ SV46 )
| ( sK10_Xp @ SV37 @ SV46 ) ) )
= $true )
| ( ( ~ ( ~ ( SV39 @ SV46 )
| ~ ( sK10_Xp @ SV37 @ SV46 ) ) )
= $true )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(407,plain,
! [SV37: a,SV50: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ SV50 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(408,plain,
! [SV47: a,SV37: a,SV39: a > $o] :
( ( ( SV39 @ SV37 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV47 )
= $false )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(409,plain,
! [SV41: a,SV48: a,SV37: a] :
( ( ( ~ ( sK10_Xp @ SV37 @ SV48 ) )
= $true )
| ( ( cQ @ SV41 @ SV48 )
= $true )
| ( ( sK10_Xp @ SV37 @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(410,plain,
! [SV37: a,SV49: a,SV41: a] :
( ( ( ~ ( cQ @ SV41 @ SV49 ) )
= $true )
| ( ( sK10_Xp @ SV37 @ SV49 )
= $true )
| ( ( sK10_Xp @ SV37 @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(411,plain,
! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
( ( ( ( SV39 @ SV46 )
| ( sK10_Xp @ SV37 @ SV46 ) )
= $false )
| ( ( ~ ( ~ ( SV39 @ SV46 )
| ~ ( sK10_Xp @ SV37 @ SV46 ) ) )
= $true )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(412,plain,
! [SV37: a,SV50: a,SV39: a > $o] :
( ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( ~ ( SV39 @ SV37 ) )
= $true )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(413,plain,
! [SV47: a,SV37: a,SV39: a > $o] :
( ( ( ! [SV51: a] :
( ( SV39 @ SV51 )
= ( sK10_Xp @ SV37 @ SV51 ) ) )
= $true )
| ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[408]) ).
thf(414,plain,
! [SV47: a,SV37: a,SV39: a > $o] :
( ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true )
| ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[408]) ).
thf(415,plain,
! [SV41: a,SV48: a,SV37: a] :
( ( ( sK10_Xp @ SV37 @ SV48 )
= $false )
| ( ( cQ @ SV41 @ SV48 )
= $true )
| ( ( sK10_Xp @ SV37 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(416,plain,
! [SV37: a,SV49: a,SV41: a] :
( ( ( cQ @ SV41 @ SV49 )
= $false )
| ( ( sK10_Xp @ SV37 @ SV49 )
= $true )
| ( ( sK10_Xp @ SV37 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(417,plain,
! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
( ( ( SV39 @ SV46 )
= $false )
| ( ( ~ ( ~ ( SV39 @ SV46 )
| ~ ( sK10_Xp @ SV37 @ SV46 ) ) )
= $true )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[411]) ).
thf(418,plain,
! [SV43: a,SV39: a > $o,SV46: a,SV37: a] :
( ( ( sK10_Xp @ SV37 @ SV46 )
= $false )
| ( ( ~ ( ~ ( SV39 @ SV46 )
| ~ ( sK10_Xp @ SV37 @ SV46 ) ) )
= $true )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[411]) ).
thf(419,plain,
! [SV50: a,SV37: a,SV39: a > $o] :
( ( ( SV39 @ SV37 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(420,plain,
! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
( ( ( ( SV39 @ SV52 )
= ( sK10_Xp @ SV37 @ SV52 ) )
= $true )
| ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(421,plain,
! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ SV46 )
| ~ ( sK10_Xp @ SV37 @ SV46 ) )
= $false )
| ( ( SV39 @ SV46 )
= $false )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(422,plain,
! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ SV46 )
| ~ ( sK10_Xp @ SV37 @ SV46 ) )
= $false )
| ( ( sK10_Xp @ SV37 @ SV46 )
= $false )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(423,plain,
! [SV50: a,SV37: a,SV39: a > $o] :
( ( ( ! [SV53: a] :
( ( SV39 @ SV53 )
= ( sK10_Xp @ SV37 @ SV53 ) ) )
= $true )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[419]) ).
thf(424,plain,
! [SV50: a,SV37: a,SV39: a > $o] :
( ( ( SV39
= ( sK10_Xp @ SV37 ) )
= $true )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[419]) ).
thf(425,plain,
! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
( ( ( ~ ( ( SV39 @ SV52 )
| ( sK10_Xp @ SV37 @ SV52 ) )
| ~ ( ~ ( SV39 @ SV52 )
| ~ ( sK10_Xp @ SV37 @ SV52 ) ) )
= $true )
| ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[420]) ).
thf(426,plain,
! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
( ( ( ( SV39 @ SV52 )
= ( sK10_Xp @ SV37 @ SV52 ) )
= $true )
| ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[420]) ).
thf(427,plain,
! [SV37: a,SV43: a,SV46: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ SV46 ) )
= $false )
| ( ( SV39 @ SV46 )
= $false )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[421]) ).
thf(428,plain,
! [SV43: a,SV39: a > $o,SV46: a,SV37: a] :
( ( ( ~ ( sK10_Xp @ SV37 @ SV46 ) )
= $false )
| ( ( SV39 @ SV46 )
= $false )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[421]) ).
thf(429,plain,
! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ SV46 ) )
= $false )
| ( ( sK10_Xp @ SV37 @ SV46 )
= $false )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(430,plain,
! [SV43: a,SV39: a > $o,SV46: a,SV37: a] :
( ( ( ~ ( sK10_Xp @ SV37 @ SV46 ) )
= $false )
| ( ( sK10_Xp @ SV37 @ SV46 )
= $false )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(431,plain,
! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
( ( ( ( SV39 @ SV54 )
= ( sK10_Xp @ SV37 @ SV54 ) )
= $true )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(432,plain,
! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
( ( ( ~ ( ( SV39 @ SV52 )
| ( sK10_Xp @ SV37 @ SV52 ) ) )
= $true )
| ( ( ~ ( ~ ( SV39 @ SV52 )
| ~ ( sK10_Xp @ SV37 @ SV52 ) ) )
= $true )
| ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(433,plain,
! [SV37: a,SV43: a,SV46: a,SV39: a > $o] :
( ( ( SV39 @ SV46 )
= $true )
| ( ( SV39 @ SV46 )
= $false )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(434,plain,
! [SV43: a,SV39: a > $o,SV46: a,SV37: a] :
( ( ( sK10_Xp @ SV37 @ SV46 )
= $true )
| ( ( SV39 @ SV46 )
= $false )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(435,plain,
! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
( ( ( SV39 @ SV46 )
= $true )
| ( ( sK10_Xp @ SV37 @ SV46 )
= $false )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(436,plain,
! [SV43: a,SV39: a > $o,SV46: a,SV37: a] :
( ( ( sK10_Xp @ SV37 @ SV46 )
= $true )
| ( ( sK10_Xp @ SV37 @ SV46 )
= $false )
| ( ( SV39 @ SV43 )
= $false )
| ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(437,plain,
! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
( ( ( ~ ( ( SV39 @ SV54 )
| ( sK10_Xp @ SV37 @ SV54 ) )
| ~ ( ~ ( SV39 @ SV54 )
| ~ ( sK10_Xp @ SV37 @ SV54 ) ) )
= $true )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[431]) ).
thf(438,plain,
! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
( ( ( ( SV39 @ SV54 )
= ( sK10_Xp @ SV37 @ SV54 ) )
= $true )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[431]) ).
thf(439,plain,
! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
( ( ( ( SV39 @ SV52 )
| ( sK10_Xp @ SV37 @ SV52 ) )
= $false )
| ( ( ~ ( ~ ( SV39 @ SV52 )
| ~ ( sK10_Xp @ SV37 @ SV52 ) ) )
= $true )
| ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(440,plain,
! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
( ( ( ~ ( ( SV39 @ SV54 )
| ( sK10_Xp @ SV37 @ SV54 ) ) )
= $true )
| ( ( ~ ( ~ ( SV39 @ SV54 )
| ~ ( sK10_Xp @ SV37 @ SV54 ) ) )
= $true )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(441,plain,
! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
( ( ( SV39 @ SV52 )
= $false )
| ( ( ~ ( ~ ( SV39 @ SV52 )
| ~ ( sK10_Xp @ SV37 @ SV52 ) ) )
= $true )
| ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[439]) ).
thf(442,plain,
! [SV47: a,SV39: a > $o,SV52: a,SV37: a] :
( ( ( sK10_Xp @ SV37 @ SV52 )
= $false )
| ( ( ~ ( ~ ( SV39 @ SV52 )
| ~ ( sK10_Xp @ SV37 @ SV52 ) ) )
= $true )
| ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[439]) ).
thf(443,plain,
! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
( ( ( ( SV39 @ SV54 )
| ( sK10_Xp @ SV37 @ SV54 ) )
= $false )
| ( ( ~ ( ~ ( SV39 @ SV54 )
| ~ ( sK10_Xp @ SV37 @ SV54 ) ) )
= $true )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(444,plain,
! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ SV52 )
| ~ ( sK10_Xp @ SV37 @ SV52 ) )
= $false )
| ( ( SV39 @ SV52 )
= $false )
| ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(445,plain,
! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ SV52 )
| ~ ( sK10_Xp @ SV37 @ SV52 ) )
= $false )
| ( ( sK10_Xp @ SV37 @ SV52 )
= $false )
| ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(446,plain,
! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
( ( ( SV39 @ SV54 )
= $false )
| ( ( ~ ( ~ ( SV39 @ SV54 )
| ~ ( sK10_Xp @ SV37 @ SV54 ) ) )
= $true )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[443]) ).
thf(447,plain,
! [SV50: a,SV39: a > $o,SV54: a,SV37: a] :
( ( ( sK10_Xp @ SV37 @ SV54 )
= $false )
| ( ( ~ ( ~ ( SV39 @ SV54 )
| ~ ( sK10_Xp @ SV37 @ SV54 ) ) )
= $true )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[443]) ).
thf(448,plain,
! [SV37: a,SV47: a,SV52: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ SV52 ) )
= $false )
| ( ( SV39 @ SV52 )
= $false )
| ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(449,plain,
! [SV47: a,SV39: a > $o,SV52: a,SV37: a] :
( ( ( ~ ( sK10_Xp @ SV37 @ SV52 ) )
= $false )
| ( ( SV39 @ SV52 )
= $false )
| ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(450,plain,
! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ SV52 ) )
= $false )
| ( ( sK10_Xp @ SV37 @ SV52 )
= $false )
| ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[445]) ).
thf(451,plain,
! [SV47: a,SV39: a > $o,SV52: a,SV37: a] :
( ( ( ~ ( sK10_Xp @ SV37 @ SV52 ) )
= $false )
| ( ( sK10_Xp @ SV37 @ SV52 )
= $false )
| ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[445]) ).
thf(452,plain,
! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ SV54 )
| ~ ( sK10_Xp @ SV37 @ SV54 ) )
= $false )
| ( ( SV39 @ SV54 )
= $false )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(453,plain,
! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ SV54 )
| ~ ( sK10_Xp @ SV37 @ SV54 ) )
= $false )
| ( ( sK10_Xp @ SV37 @ SV54 )
= $false )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(454,plain,
! [SV37: a,SV47: a,SV52: a,SV39: a > $o] :
( ( ( SV39 @ SV52 )
= $true )
| ( ( SV39 @ SV52 )
= $false )
| ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(455,plain,
! [SV47: a,SV39: a > $o,SV52: a,SV37: a] :
( ( ( sK10_Xp @ SV37 @ SV52 )
= $true )
| ( ( SV39 @ SV52 )
= $false )
| ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(456,plain,
! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
( ( ( SV39 @ SV52 )
= $true )
| ( ( sK10_Xp @ SV37 @ SV52 )
= $false )
| ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(457,plain,
! [SV47: a,SV39: a > $o,SV52: a,SV37: a] :
( ( ( sK10_Xp @ SV37 @ SV52 )
= $true )
| ( ( sK10_Xp @ SV37 @ SV52 )
= $false )
| ( ( SV39 @ SV47 )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $true )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(458,plain,
! [SV37: a,SV50: a,SV54: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ SV54 ) )
= $false )
| ( ( SV39 @ SV54 )
= $false )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(459,plain,
! [SV50: a,SV39: a > $o,SV54: a,SV37: a] :
( ( ( ~ ( sK10_Xp @ SV37 @ SV54 ) )
= $false )
| ( ( SV39 @ SV54 )
= $false )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(460,plain,
! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ SV54 ) )
= $false )
| ( ( sK10_Xp @ SV37 @ SV54 )
= $false )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(461,plain,
! [SV50: a,SV39: a > $o,SV54: a,SV37: a] :
( ( ( ~ ( sK10_Xp @ SV37 @ SV54 ) )
= $false )
| ( ( sK10_Xp @ SV37 @ SV54 )
= $false )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(462,plain,
! [SV37: a,SV50: a,SV54: a,SV39: a > $o] :
( ( ( SV39 @ SV54 )
= $true )
| ( ( SV39 @ SV54 )
= $false )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(463,plain,
! [SV50: a,SV39: a > $o,SV54: a,SV37: a] :
( ( ( sK10_Xp @ SV37 @ SV54 )
= $true )
| ( ( SV39 @ SV54 )
= $false )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(464,plain,
! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
( ( ( SV39 @ SV54 )
= $true )
| ( ( sK10_Xp @ SV37 @ SV54 )
= $false )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(465,plain,
! [SV50: a,SV39: a > $o,SV54: a,SV37: a] :
( ( ( sK10_Xp @ SV37 @ SV54 )
= $true )
| ( ( sK10_Xp @ SV37 @ SV54 )
= $false )
| ( ( SV39 @ SV50 )
= $false )
| ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
= $false )
| ( ( SV39 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(466,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[333,465,464,463,462,457,456,455,454,438,436,435,434,433,426,424,416,415,414,401,390,388,378,366,355,350,345,344]) ).
thf(467,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[466,161,311]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV028^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 28 03:24:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 0
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)...................
% 0.40/0.61
% 0.40/0.61 ********************************
% 0.40/0.61 * All subproblems solved! *
% 0.40/0.61 ********************************
% 0.40/0.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:466,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.49/0.70
% 0.49/0.70 %**** Beginning of derivation protocol ****
% 0.49/0.70 % SZS output start CNFRefutation
% See solution above
% 0.49/0.71
% 0.49/0.71 %**** End of derivation protocol ****
% 0.49/0.71 %**** no. of clauses in derivation: 467 ****
% 0.49/0.71 %**** clause counter: 466 ****
% 0.49/0.71
% 0.49/0.71 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:466,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------