%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : LCL672+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:29:45 AM UTC 2026
% Result : Theorem 0.55s 0.41s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 3
% Syntax : Number of formulae : 261 ( 61 unt; 0 typ; 0 def)
% Number of atoms : 5213 (1273 equ; 0 cnn)
% Maximal formula atoms : 49 ( 19 avg)
% Number of connectives : 10074 (2901 ~;2345 |; 58 &;4767 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 8 con; 0-5 aty)
% Number of variables : 1609 ( 0 ^;1604 !; 5 ?;1609 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_p1,type,
p1: $i > $o ).
thf(tp_p2,type,
p2: $i > $o ).
thf(tp_r1,type,
r1: $i > $i > $o ).
thf(tp_sK10_SY90,type,
sK10_SY90: $i > $i > $i > $i > $i ).
thf(tp_sK11_SY92,type,
sK11_SY92: $i > $i > $i > $i > $i ).
thf(tp_sK12_SY93,type,
sK12_SY93: $i > $i > $i > $i > $i > $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY66,type,
sK2_SY66: $i ).
thf(tp_sK3_SY62,type,
sK3_SY62: $i ).
thf(tp_sK4_SY61,type,
sK4_SY61: $i ).
thf(tp_sK5_SY70,type,
sK5_SY70: $i ).
thf(tp_sK6_SY68,type,
sK6_SY68: $i ).
thf(tp_sK7_SY72,type,
sK7_SY72: $i > $i > $i ).
thf(tp_sK8_SY87,type,
sK8_SY87: $i > $i > $i > $i ).
thf(tp_sK9_SY89,type,
sK9_SY89: $i > $i > $i > $i ).
thf(1,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( r1 @ X @ Y )
& ( r1 @ Y @ Z ) )
=> ( r1 @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
thf(2,axiom,
! [X: $i] : ( r1 @ X @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
thf(3,conjecture,
~ ? [X: $i] :
~ ( ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y ) ) )
& ( p1 @ Y ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| $false ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
thf(4,negated_conjecture,
( ( ~ ? [X: $i] :
~ ( ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y ) ) )
& ( p1 @ Y ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| $false ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,plain,
( ( ~ ? [X: $i] :
~ ( ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y ) ) )
& ( p1 @ Y ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| $false ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( r1 @ X @ Y )
& ( r1 @ Y @ Z ) )
=> ( r1 @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(7,plain,
( ( ! [X: $i] : ( r1 @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(8,plain,
( ( ? [X: $i] :
~ ( ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y ) ) )
& ( p1 @ Y ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| $false ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(9,plain,
( ( ! [X: $i] : ( r1 @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(10,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( r1 @ X @ Y )
& ( r1 @ Y @ Z ) )
=> ( r1 @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(11,plain,
( ( ? [X: $i] :
~ ( ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y ) ) )
& ( p1 @ Y ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| $false ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( ~ ~ ( ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 ) )
| ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SX1 ) ) ) )
| ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 ) )
| ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 ) )
| ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 ) )
| ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| $false ) ) )
| ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(13,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( r1 @ SX0 @ SX1 )
| ~ ( r1 @ SX1 @ SX2 ) )
| ( r1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(14,plain,
! [SV1: $i] :
( ( r1 @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(15,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( ~ ~ ( ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 ) )
| ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SX1 ) ) ) )
| ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 ) )
| ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 ) )
| ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 ) )
| ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| $false ) ) )
| ~ ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(16,plain,
! [SV2: $i] :
( ( ! [SY35: $i,SY36: $i] :
( ~ ~ ( ~ ( r1 @ SV2 @ SY35 )
| ~ ( r1 @ SY35 @ SY36 ) )
| ( r1 @ SV2 @ SY36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(17,plain,
( ( ~ ~ ( ~ ( ~ ~ ( ~ ~ ! [SY37: $i] :
( ~ ( r1 @ sK1_SX0 @ SY37 )
| ( p2 @ SY37 ) )
| ~ ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) )
| ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY42: $i] :
( ~ ( r1 @ sK1_SX0 @ SY42 )
| ( p2 @ SY42 ) )
| ~ ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ( p2 @ SY49 ) )
| ~ ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ( p2 @ SY57 ) )
| ~ ~ ! [SY58: $i] :
( ~ ( r1 @ sK1_SX0 @ SY58 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY58 @ SX2 )
| $false ) ) )
| ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
| ! [SY61: $i] :
( ~ ( r1 @ sK1_SX0 @ SY61 )
| ( p2 @ SY61 ) )
| ! [SY62: $i] :
( ~ ( r1 @ sK1_SX0 @ SY62 )
| ! [SX2: $i] :
( ~ ( r1 @ SY62 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY62 @ SX2 )
| ( p1 @ SX2 ) ) )
| ! [SY66: $i] :
( ~ ( r1 @ sK1_SX0 @ SY66 )
| ( p1 @ SY66 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[15]) ).
thf(18,plain,
! [SV3: $i,SV2: $i] :
( ( ! [SY67: $i] :
( ~ ~ ( ~ ( r1 @ SV2 @ SV3 )
| ~ ( r1 @ SV3 @ SY67 ) )
| ( r1 @ SV2 @ SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ( ~ ( ~ ~ ( ~ ~ ! [SY37: $i] :
( ~ ( r1 @ sK1_SX0 @ SY37 )
| ( p2 @ SY37 ) )
| ~ ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) )
| ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY42: $i] :
( ~ ( r1 @ sK1_SX0 @ SY42 )
| ( p2 @ SY42 ) )
| ~ ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ( p2 @ SY49 ) )
| ~ ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ( p2 @ SY57 ) )
| ~ ~ ! [SY58: $i] :
( ~ ( r1 @ sK1_SX0 @ SY58 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY58 @ SX2 )
| $false ) ) )
| ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
| ! [SY61: $i] :
( ~ ( r1 @ sK1_SX0 @ SY61 )
| ( p2 @ SY61 ) )
| ! [SY62: $i] :
( ~ ( r1 @ sK1_SX0 @ SY62 )
| ! [SX2: $i] :
( ~ ( r1 @ SY62 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY62 @ SX2 )
| ( p1 @ SX2 ) ) )
| ! [SY66: $i] :
( ~ ( r1 @ sK1_SX0 @ SY66 )
| ( p1 @ SY66 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(20,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ~ ~ ( ~ ( r1 @ SV2 @ SV3 )
| ~ ( r1 @ SV3 @ SV4 ) )
| ( r1 @ SV2 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(21,plain,
( ( ~ ( ~ ~ ( ~ ~ ! [SY37: $i] :
( ~ ( r1 @ sK1_SX0 @ SY37 )
| ( p2 @ SY37 ) )
| ~ ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) )
| ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY42: $i] :
( ~ ( r1 @ sK1_SX0 @ SY42 )
| ( p2 @ SY42 ) )
| ~ ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ( p2 @ SY49 ) )
| ~ ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ( p2 @ SY57 ) )
| ~ ~ ! [SY58: $i] :
( ~ ( r1 @ sK1_SX0 @ SY58 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY58 @ SX2 )
| $false ) ) )
| ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
| ! [SY61: $i] :
( ~ ( r1 @ sK1_SX0 @ SY61 )
| ( p2 @ SY61 ) )
| ! [SY62: $i] :
( ~ ( r1 @ sK1_SX0 @ SY62 )
| ! [SX2: $i] :
( ~ ( r1 @ SY62 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY62 @ SX2 )
| ( p1 @ SX2 ) ) )
| ! [SY66: $i] :
( ~ ( r1 @ sK1_SX0 @ SY66 )
| ( p1 @ SY66 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(22,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( r1 @ SV2 @ SV3 )
| ~ ( r1 @ SV3 @ SV4 ) ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(23,plain,
( ( ~ ( ~ ~ ( ~ ~ ! [SY37: $i] :
( ~ ( r1 @ sK1_SX0 @ SY37 )
| ( p2 @ SY37 ) )
| ~ ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) )
| ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY42: $i] :
( ~ ( r1 @ sK1_SX0 @ SY42 )
| ( p2 @ SY42 ) )
| ~ ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ( p2 @ SY49 ) )
| ~ ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ( p2 @ SY57 ) )
| ~ ~ ! [SY58: $i] :
( ~ ( r1 @ sK1_SX0 @ SY58 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY58 @ SX2 )
| $false ) ) )
| ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
| ! [SY61: $i] :
( ~ ( r1 @ sK1_SX0 @ SY61 )
| ( p2 @ SY61 ) )
| ! [SY62: $i] :
( ~ ( r1 @ sK1_SX0 @ SY62 )
| ! [SX2: $i] :
( ~ ( r1 @ SY62 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY62 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(24,plain,
( ( ! [SY66: $i] :
( ~ ( r1 @ sK1_SX0 @ SY66 )
| ( p1 @ SY66 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(25,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( ~ ( r1 @ SV2 @ SV3 )
| ~ ( r1 @ SV3 @ SV4 ) ) )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ( ~ ~ ( ~ ~ ! [SY37: $i] :
( ~ ( r1 @ sK1_SX0 @ SY37 )
| ( p2 @ SY37 ) )
| ~ ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) )
| ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY42: $i] :
( ~ ( r1 @ sK1_SX0 @ SY42 )
| ( p2 @ SY42 ) )
| ~ ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ( p2 @ SY49 ) )
| ~ ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ( p2 @ SY57 ) )
| ~ ~ ! [SY58: $i] :
( ~ ( r1 @ sK1_SX0 @ SY58 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY58 @ SX2 )
| $false ) ) )
| ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
| ! [SY61: $i] :
( ~ ( r1 @ sK1_SX0 @ SY61 )
| ( p2 @ SY61 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(27,plain,
( ( ! [SY62: $i] :
( ~ ( r1 @ sK1_SX0 @ SY62 )
| ! [SX2: $i] :
( ~ ( r1 @ SY62 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY62 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK2_SY66 )
| ( p1 @ sK2_SY66 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[24]) ).
thf(29,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV3 )
| ~ ( r1 @ SV3 @ SV4 ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(30,plain,
( ( ~ ( ~ ~ ( ~ ~ ! [SY37: $i] :
( ~ ( r1 @ sK1_SX0 @ SY37 )
| ( p2 @ SY37 ) )
| ~ ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) )
| ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY42: $i] :
( ~ ( r1 @ sK1_SX0 @ SY42 )
| ( p2 @ SY42 ) )
| ~ ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ( p2 @ SY49 ) )
| ~ ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ( p2 @ SY57 ) )
| ~ ~ ! [SY58: $i] :
( ~ ( r1 @ sK1_SX0 @ SY58 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY58 @ SX2 )
| $false ) ) )
| ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(31,plain,
( ( ! [SY61: $i] :
( ~ ( r1 @ sK1_SX0 @ SY61 )
| ( p2 @ SY61 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(32,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK3_SY62 )
| ! [SY68: $i] :
( ~ ( r1 @ sK3_SY62 @ SY68 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY68 @ SX3 )
| ( p1 @ SX3 ) ) )
| ! [SY70: $i] :
( ~ ( r1 @ sK3_SY62 @ SY70 )
| ( p1 @ SY70 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[27]) ).
thf(33,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK2_SY66 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(34,plain,
( ( p1 @ sK2_SY66 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(35,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( r1 @ SV3 @ SV4 ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(36,plain,
( ( ~ ( ~ ~ ( ~ ~ ! [SY37: $i] :
( ~ ( r1 @ sK1_SX0 @ SY37 )
| ( p2 @ SY37 ) )
| ~ ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) )
| ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY42: $i] :
( ~ ( r1 @ sK1_SX0 @ SY42 )
| ( p2 @ SY42 ) )
| ~ ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ( p2 @ SY49 ) )
| ~ ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(37,plain,
( ( ~ ( ~ ~ ( ~ ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ( p2 @ SY57 ) )
| ~ ~ ! [SY58: $i] :
( ~ ( r1 @ sK1_SX0 @ SY58 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY58 @ SX2 )
| $false ) ) )
| ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(38,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK4_SY61 )
| ( p2 @ sK4_SY61 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[31]) ).
thf(39,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK3_SY62 )
| ! [SY68: $i] :
( ~ ( r1 @ sK3_SY62 @ SY68 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY68 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(40,plain,
( ( ! [SY70: $i] :
( ~ ( r1 @ sK3_SY62 @ SY70 )
| ( p1 @ SY70 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(41,plain,
( ( r1 @ sK1_SX0 @ sK2_SY66 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(42,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( ~ ( r1 @ SV3 @ SV4 ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(43,plain,
( ( ~ ( ~ ~ ( ~ ~ ! [SY37: $i] :
( ~ ( r1 @ sK1_SX0 @ SY37 )
| ( p2 @ SY37 ) )
| ~ ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) )
| ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY42: $i] :
( ~ ( r1 @ sK1_SX0 @ SY42 )
| ( p2 @ SY42 ) )
| ~ ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(44,plain,
( ( ~ ( ~ ~ ( ~ ~ ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ( p2 @ SY49 ) )
| ~ ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(45,plain,
( ( ~ ~ ( ~ ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ( p2 @ SY57 ) )
| ~ ~ ! [SY58: $i] :
( ~ ( r1 @ sK1_SX0 @ SY58 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY58 @ SX2 )
| $false ) ) )
| ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(46,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK4_SY61 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(47,plain,
( ( p2 @ sK4_SY61 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(48,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK3_SY62 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(49,plain,
( ( ! [SY68: $i] :
( ~ ( r1 @ sK3_SY62 @ SY68 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY68 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(50,plain,
( ( ~ ( r1 @ sK3_SY62 @ sK5_SY70 )
| ( p1 @ sK5_SY70 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[40]) ).
thf(51,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ( r1 @ SV3 @ SV4 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(52,plain,
( ( ~ ( ~ ~ ( ~ ~ ! [SY37: $i] :
( ~ ( r1 @ sK1_SX0 @ SY37 )
| ( p2 @ SY37 ) )
| ~ ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) )
| ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(53,plain,
( ( ~ ( ~ ~ ( ~ ~ ! [SY42: $i] :
( ~ ( r1 @ sK1_SX0 @ SY42 )
| ( p2 @ SY42 ) )
| ~ ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(54,plain,
( ( ~ ~ ( ~ ~ ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ( p2 @ SY49 ) )
| ~ ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(55,plain,
( ( ( ~ ~ ( ~ ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ( p2 @ SY57 ) )
| ~ ~ ! [SY58: $i] :
( ~ ( r1 @ sK1_SX0 @ SY58 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY58 @ SX2 )
| $false ) ) ) )
= $true )
| ( ( ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(56,plain,
( ( r1 @ sK1_SX0 @ sK4_SY61 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(57,plain,
( ( r1 @ sK1_SX0 @ sK3_SY62 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(58,plain,
( ( ~ ( r1 @ sK3_SY62 @ sK6_SY68 )
| ~ ! [SY71: $i] :
( ~ ( r1 @ sK6_SY68 @ SY71 )
| ( p1 @ SY71 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[49]) ).
thf(59,plain,
( ( ~ ( r1 @ sK3_SY62 @ sK5_SY70 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(60,plain,
( ( p1 @ sK5_SY70 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(61,plain,
( ( ~ ~ ( ~ ~ ! [SY37: $i] :
( ~ ( r1 @ sK1_SX0 @ SY37 )
| ( p2 @ SY37 ) )
| ~ ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) )
| ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(62,plain,
( ( ~ ~ ( ~ ~ ! [SY42: $i] :
( ~ ( r1 @ sK1_SX0 @ SY42 )
| ( p2 @ SY42 ) )
| ~ ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
| ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(63,plain,
( ( ( ~ ~ ( ~ ~ ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ( p2 @ SY49 ) )
| ~ ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(64,plain,
( ( ( ~ ( ~ ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ( p2 @ SY57 ) )
| ~ ~ ! [SY58: $i] :
( ~ ( r1 @ sK1_SX0 @ SY58 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY58 @ SX2 )
| $false ) ) ) )
= $false )
| ( ( ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(65,plain,
( ( ~ ( r1 @ sK3_SY62 @ sK6_SY68 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(66,plain,
( ( ~ ! [SY71: $i] :
( ~ ( r1 @ sK6_SY68 @ SY71 )
| ( p1 @ SY71 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(67,plain,
( ( r1 @ sK3_SY62 @ sK5_SY70 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(68,plain,
( ( ( ~ ~ ( ~ ~ ! [SY37: $i] :
( ~ ( r1 @ sK1_SX0 @ SY37 )
| ( p2 @ SY37 ) )
| ~ ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(69,plain,
( ( ( ~ ~ ( ~ ~ ! [SY42: $i] :
( ~ ( r1 @ sK1_SX0 @ SY42 )
| ( p2 @ SY42 ) )
| ~ ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(70,plain,
( ( ( ~ ( ~ ~ ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ( p2 @ SY49 ) )
| ~ ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) ) )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(71,plain,
( ( ( ~ ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ( p2 @ SY57 ) )
| ~ ~ ! [SY58: $i] :
( ~ ( r1 @ sK1_SX0 @ SY58 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY58 @ SX2 )
| $false ) ) )
= $true )
| ( ( ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(72,plain,
( ( r1 @ sK3_SY62 @ sK6_SY68 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(73,plain,
( ( ! [SY71: $i] :
( ~ ( r1 @ sK6_SY68 @ SY71 )
| ( p1 @ SY71 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(74,plain,
( ( ( ~ ( ~ ~ ! [SY37: $i] :
( ~ ( r1 @ sK1_SX0 @ SY37 )
| ( p2 @ SY37 ) )
| ~ ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) ) )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(75,plain,
( ( ( ~ ( ~ ~ ! [SY42: $i] :
( ~ ( r1 @ sK1_SX0 @ SY42 )
| ( p2 @ SY42 ) )
| ~ ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) ) )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(76,plain,
( ( ( ~ ~ ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ( p2 @ SY49 ) )
| ~ ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(77,plain,
( ( ( ~ ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ( p2 @ SY57 ) ) )
= $true )
| ( ( ~ ~ ! [SY58: $i] :
( ~ ( r1 @ sK1_SX0 @ SY58 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY58 @ SX2 )
| $false ) ) )
= $true )
| ( ( ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(78,plain,
! [SV5: $i] :
( ( ~ ( r1 @ sK6_SY68 @ SV5 )
| ( p1 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(79,plain,
( ( ( ~ ~ ! [SY37: $i] :
( ~ ( r1 @ sK1_SX0 @ SY37 )
| ( p2 @ SY37 ) )
| ~ ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(80,plain,
( ( ( ~ ~ ! [SY42: $i] :
( ~ ( r1 @ sK1_SX0 @ SY42 )
| ( p2 @ SY42 ) )
| ~ ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(81,plain,
( ( ( ~ ~ ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ( p2 @ SY49 ) ) )
= $true )
| ( ( ~ ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(82,plain,
( ( ( ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ( p2 @ SY57 ) ) )
= $false )
| ( ( ~ ~ ! [SY58: $i] :
( ~ ( r1 @ sK1_SX0 @ SY58 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY58 @ SX2 )
| $false ) ) )
= $true )
| ( ( ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(83,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ sK6_SY68 @ SV5 ) )
= $true )
| ( ( p1 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(84,plain,
( ( ( ~ ~ ! [SY37: $i] :
( ~ ( r1 @ sK1_SX0 @ SY37 )
| ( p2 @ SY37 ) ) )
= $true )
| ( ( ~ ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(85,plain,
( ( ( ~ ~ ! [SY42: $i] :
( ~ ( r1 @ sK1_SX0 @ SY42 )
| ( p2 @ SY42 ) ) )
= $true )
| ( ( ~ ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(86,plain,
( ( ( ~ ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ( p2 @ SY49 ) ) )
= $false )
| ( ( ~ ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(87,plain,
( ( ( ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ( p2 @ SY57 ) ) )
= $true )
| ( ( ~ ~ ! [SY58: $i] :
( ~ ( r1 @ sK1_SX0 @ SY58 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY58 @ SX2 )
| $false ) ) )
= $true )
| ( ( ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(88,plain,
! [SV5: $i] :
( ( ( r1 @ sK6_SY68 @ SV5 )
= $false )
| ( ( p1 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(89,plain,
( ( ( ~ ! [SY37: $i] :
( ~ ( r1 @ sK1_SX0 @ SY37 )
| ( p2 @ SY37 ) ) )
= $false )
| ( ( ~ ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(90,plain,
( ( ( ~ ! [SY42: $i] :
( ~ ( r1 @ sK1_SX0 @ SY42 )
| ( p2 @ SY42 ) ) )
= $false )
| ( ( ~ ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(91,plain,
( ( ( ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ( p2 @ SY49 ) ) )
= $true )
| ( ( ~ ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(92,plain,
! [SV6: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV6 )
| ( p2 @ SV6 ) )
= $true )
| ( ( ~ ~ ! [SY58: $i] :
( ~ ( r1 @ sK1_SX0 @ SY58 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY58 @ SX2 )
| $false ) ) )
= $true )
| ( ( ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(93,plain,
( ( ( ! [SY37: $i] :
( ~ ( r1 @ sK1_SX0 @ SY37 )
| ( p2 @ SY37 ) ) )
= $true )
| ( ( ~ ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(94,plain,
( ( ( ! [SY42: $i] :
( ~ ( r1 @ sK1_SX0 @ SY42 )
| ( p2 @ SY42 ) ) )
= $true )
| ( ( ~ ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(95,plain,
! [SV7: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV7 )
| ( p2 @ SV7 ) )
= $true )
| ( ( ~ ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(96,plain,
! [SV6: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV6 ) )
= $true )
| ( ( p2 @ SV6 )
= $true )
| ( ( ~ ~ ! [SY58: $i] :
( ~ ( r1 @ sK1_SX0 @ SY58 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY58 @ SX2 )
| $false ) ) )
= $true )
| ( ( ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(97,plain,
! [SV8: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV8 )
| ( p2 @ SV8 ) )
= $true )
| ( ( ~ ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(98,plain,
! [SV9: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV9 )
| ( p2 @ SV9 ) )
= $true )
| ( ( ~ ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(99,plain,
! [SV7: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV7 ) )
= $true )
| ( ( p2 @ SV7 )
= $true )
| ( ( ~ ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(100,plain,
! [SV6: $i] :
( ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( p2 @ SV6 )
= $true )
| ( ( ~ ~ ! [SY58: $i] :
( ~ ( r1 @ sK1_SX0 @ SY58 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY58 @ SX2 )
| $false ) ) )
= $true )
| ( ( ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(101,plain,
! [SV8: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV8 ) )
= $true )
| ( ( p2 @ SV8 )
= $true )
| ( ( ~ ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(102,plain,
! [SV9: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV9 ) )
= $true )
| ( ( p2 @ SV9 )
= $true )
| ( ( ~ ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(103,plain,
! [SV7: $i] :
( ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( ~ ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(104,plain,
! [SV6: $i] :
( ( ( ~ ! [SY58: $i] :
( ~ ( r1 @ sK1_SX0 @ SY58 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY58 @ SX2 )
| $false ) ) )
= $false )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(105,plain,
! [SV8: $i] :
( ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( ~ ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(106,plain,
! [SV9: $i] :
( ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( ~ ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(107,plain,
! [SV7: $i] :
( ( ( ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(108,plain,
! [SV6: $i] :
( ( ( ! [SY58: $i] :
( ~ ( r1 @ sK1_SX0 @ SY58 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY58 @ SX2 )
| $false ) ) )
= $true )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(109,plain,
! [SV8: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(110,plain,
! [SV9: $i] :
( ( ( ~ ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(111,plain,
! [SV7: $i] :
( ( ( ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY50 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
= $true )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(112,plain,
! [SV6: $i,SV10: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV10 )
| ~ ! [SY72: $i] :
( ~ ( r1 @ SV10 @ SY72 )
| $false ) )
= $true )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(113,plain,
! [SV8: $i] :
( ( ( ! [SY38: $i] :
( ~ ( r1 @ sK1_SX0 @ SY38 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY38 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SY38 ) ) ) )
= $true )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(114,plain,
! [SV9: $i] :
( ( ( ! [SY43: $i] :
( ~ ( r1 @ sK1_SX0 @ SY43 )
| ! [SX2: $i] :
( ~ ( r1 @ SY43 @ SX2 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) ) ) ) )
= $true )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(115,plain,
! [SV7: $i,SV11: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV11 )
| ~ ~ ( ~ ~ ! [SY73: $i] :
( ~ ( r1 @ SV11 @ SY73 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) ) )
= $true )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(116,plain,
! [SV6: $i,SV10: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV10 ) )
= $true )
| ( ( ~ ! [SY72: $i] :
( ~ ( r1 @ SV10 @ SY72 )
| $false ) )
= $true )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(117,plain,
! [SV8: $i,SV12: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV12 )
| ~ ~ ( ~ ~ ! [SY78: $i] :
( ~ ( r1 @ SV12 @ SY78 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY78 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SV12 ) ) )
= $true )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(118,plain,
! [SV9: $i,SV13: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV13 )
| ! [SY80: $i] :
( ~ ( r1 @ SV13 @ SY80 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY80 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY80 @ SX3 )
| ( p1 @ SX3 ) ) ) ) )
= $true )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(119,plain,
! [SV7: $i,SV11: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV11 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ! [SY73: $i] :
( ~ ( r1 @ SV11 @ SY73 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) ) )
= $true )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(120,plain,
! [SV6: $i,SV10: $i] :
( ( ( r1 @ sK1_SX0 @ SV10 )
= $false )
| ( ( ~ ! [SY72: $i] :
( ~ ( r1 @ SV10 @ SY72 )
| $false ) )
= $true )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(121,plain,
! [SV8: $i,SV12: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV12 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ! [SY78: $i] :
( ~ ( r1 @ SV12 @ SY78 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY78 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SV12 ) ) )
= $true )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(122,plain,
! [SV9: $i,SV13: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV13 ) )
= $true )
| ( ( ! [SY80: $i] :
( ~ ( r1 @ SV13 @ SY80 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY80 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY80 @ SX3 )
| ( p1 @ SX3 ) ) ) ) )
= $true )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(123,plain,
! [SV7: $i,SV11: $i] :
( ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( ~ ~ ( ~ ~ ! [SY73: $i] :
( ~ ( r1 @ SV11 @ SY73 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) ) )
= $true )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(124,plain,
! [SV6: $i,SV10: $i] :
( ( ( ! [SY72: $i] :
( ~ ( r1 @ SV10 @ SY72 )
| $false ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV10 )
= $false )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(125,plain,
! [SV8: $i,SV12: $i] :
( ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( ~ ~ ( ~ ~ ! [SY78: $i] :
( ~ ( r1 @ SV12 @ SY78 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY78 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SV12 ) ) )
= $true )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(126,plain,
! [SV9: $i,SV13: $i] :
( ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( ! [SY80: $i] :
( ~ ( r1 @ SV13 @ SY80 )
| ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY80 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY80 @ SX3 )
| ( p1 @ SX3 ) ) ) ) )
= $true )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(127,plain,
! [SV7: $i,SV11: $i] :
( ( ( ~ ( ~ ~ ! [SY73: $i] :
( ~ ( r1 @ SV11 @ SY73 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(128,plain,
! [SV6: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ ( sK7_SY72 @ SV6 @ SV10 ) )
| $false )
= $false )
| ( ( r1 @ sK1_SX0 @ SV10 )
= $false )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[124]) ).
thf(129,plain,
! [SV8: $i,SV12: $i] :
( ( ( ~ ( ~ ~ ! [SY78: $i] :
( ~ ( r1 @ SV12 @ SY78 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY78 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SV12 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(130,plain,
! [SV9: $i,SV14: $i,SV13: $i] :
( ( ( ~ ( r1 @ SV13 @ SV14 )
| ~ ~ ( ~ ~ ! [SY84: $i] :
( ~ ( r1 @ SV14 @ SY84 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY84 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(131,plain,
! [SV7: $i,SV11: $i] :
( ( ( ~ ~ ! [SY73: $i] :
( ~ ( r1 @ SV11 @ SY73 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) )
| ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(132,plain,
! [SV6: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ ( sK7_SY72 @ SV6 @ SV10 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV10 )
= $false )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(133,plain,
! [SV6: $i,SV10: $i] :
( ( $false = $false )
| ( ( r1 @ sK1_SX0 @ SV10 )
= $false )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(134,plain,
! [SV8: $i,SV12: $i] :
( ( ( ~ ~ ! [SY78: $i] :
( ~ ( r1 @ SV12 @ SY78 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY78 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ( p1 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(135,plain,
! [SV9: $i,SV14: $i,SV13: $i] :
( ( ( ~ ( r1 @ SV13 @ SV14 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ! [SY84: $i] :
( ~ ( r1 @ SV14 @ SY84 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY84 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(136,plain,
! [SV7: $i,SV11: $i] :
( ( ( ~ ~ ! [SY73: $i] :
( ~ ( r1 @ SV11 @ SY73 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(137,plain,
! [SV6: $i,SV10: $i] :
( ( ( r1 @ SV10 @ ( sK7_SY72 @ SV6 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV10 )
= $false )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(138,plain,
! [SV10: $i,SV6: $i] :
( ( ( ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV10 )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(139,plain,
! [SV8: $i,SV12: $i] :
( ( ( ~ ~ ! [SY78: $i] :
( ~ ( r1 @ SV12 @ SY78 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY78 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( ~ ( p1 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(140,plain,
! [SV9: $i,SV14: $i,SV13: $i] :
( ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( ~ ~ ( ~ ~ ! [SY84: $i] :
( ~ ( r1 @ SV14 @ SY84 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY84 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(141,plain,
! [SV7: $i,SV11: $i] :
( ( ( ~ ! [SY73: $i] :
( ~ ( r1 @ SV11 @ SY73 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) ) )
= $false )
| ( ( ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(142,plain,
! [SV10: $i,SV6: $i] :
( ( ( ~ ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV10 )
= $false )
| ( ( r1 @ SV10 @ ( sK7_SY72 @ SV6 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(143,plain,
! [SV10: $i,SV6: $i] :
( ( ( ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV10 )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(144,plain,
! [SV8: $i,SV12: $i] :
( ( ( ~ ! [SY78: $i] :
( ~ ( r1 @ SV12 @ SY78 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY78 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $false )
| ( ( ~ ( p1 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(145,plain,
! [SV9: $i,SV13: $i,SV14: $i] :
( ( ( ~ ( ~ ~ ! [SY84: $i] :
( ~ ( r1 @ SV14 @ SY84 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY84 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) ) )
= $false )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(146,plain,
! [SV7: $i,SV11: $i] :
( ( ( ! [SY73: $i] :
( ~ ( r1 @ SV11 @ SY73 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p1 @ SX4 ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(147,plain,
! [SV10: $i,SV6: $i] :
( ( ( ! [SY60: $i] :
( ~ ( r1 @ sK1_SX0 @ SY60 )
| ( p1 @ SY60 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV10 )
= $false )
| ( ( r1 @ SV10 @ ( sK7_SY72 @ SV6 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(148,plain,
! [SV10: $i,SV6: $i,SV15: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV15 )
| ( p1 @ SV15 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV10 )
= $false )
| ( $false = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(149,plain,
! [SV8: $i,SV12: $i] :
( ( ( ! [SY78: $i] :
( ~ ( r1 @ SV12 @ SY78 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY78 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( ~ ( p1 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(150,plain,
! [SV9: $i,SV13: $i,SV14: $i] :
( ( ( ~ ~ ! [SY84: $i] :
( ~ ( r1 @ SV14 @ SY84 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY84 @ SX4 )
| ( p1 @ SX4 ) ) )
| ~ ~ ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) )
= $true )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(151,plain,
! [SV7: $i,SV16: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV16 )
| ~ ! [SY87: $i] :
( ~ ( r1 @ SV16 @ SY87 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY87 @ SX4 )
| ( p1 @ SX4 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(152,plain,
! [SV10: $i,SV6: $i,SV17: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV17 )
| ( p1 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV10 )
= $false )
| ( ( r1 @ SV10 @ ( sK7_SY72 @ SV6 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(153,plain,
! [SV10: $i,SV6: $i,SV15: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV15 ) )
= $true )
| ( ( p1 @ SV15 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV10 )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(154,plain,
! [SV8: $i,SV18: $i,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ SV18 )
| ~ ! [SY89: $i] :
( ~ ( r1 @ SV18 @ SY89 )
| ~ ( p1 @ SY89 ) ) )
= $true )
| ( ( ~ ( p1 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(155,plain,
! [SV9: $i,SV13: $i,SV14: $i] :
( ( ( ~ ~ ! [SY84: $i] :
( ~ ( r1 @ SV14 @ SY84 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY84 @ SX4 )
| ( p1 @ SX4 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) )
= $true )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(156,plain,
! [SV7: $i,SV16: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV16 ) )
= $true )
| ( ( ~ ! [SY87: $i] :
( ~ ( r1 @ SV16 @ SY87 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY87 @ SX4 )
| ( p1 @ SX4 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(157,plain,
! [SV10: $i,SV6: $i,SV17: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV17 ) )
= $true )
| ( ( p1 @ SV17 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV10 )
= $false )
| ( ( r1 @ SV10 @ ( sK7_SY72 @ SV6 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(158,plain,
! [SV10: $i,SV6: $i,SV15: $i] :
( ( ( r1 @ sK1_SX0 @ SV15 )
= $false )
| ( ( p1 @ SV15 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV10 )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(159,plain,
! [SV8: $i,SV18: $i,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ SV18 ) )
= $true )
| ( ( ~ ! [SY89: $i] :
( ~ ( r1 @ SV18 @ SY89 )
| ~ ( p1 @ SY89 ) ) )
= $true )
| ( ( ~ ( p1 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(160,plain,
! [SV9: $i,SV13: $i,SV14: $i] :
( ( ( ~ ! [SY84: $i] :
( ~ ( r1 @ SV14 @ SY84 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY84 @ SX4 )
| ( p1 @ SX4 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) )
= $true )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(161,plain,
! [SV7: $i,SV16: $i,SV11: $i] :
( ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( ~ ! [SY87: $i] :
( ~ ( r1 @ SV16 @ SY87 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY87 @ SX4 )
| ( p1 @ SX4 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(162,plain,
! [SV10: $i,SV6: $i,SV17: $i] :
( ( ( r1 @ sK1_SX0 @ SV17 )
= $false )
| ( ( p1 @ SV17 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV10 )
= $false )
| ( ( r1 @ SV10 @ ( sK7_SY72 @ SV6 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(163,plain,
! [SV8: $i,SV18: $i,SV12: $i] :
( ( ( r1 @ SV12 @ SV18 )
= $false )
| ( ( ~ ! [SY89: $i] :
( ~ ( r1 @ SV18 @ SY89 )
| ~ ( p1 @ SY89 ) ) )
= $true )
| ( ( ~ ( p1 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(164,plain,
! [SV9: $i,SV13: $i,SV14: $i] :
( ( ( ! [SY84: $i] :
( ~ ( r1 @ SV14 @ SY84 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY84 @ SX4 )
| ( p1 @ SX4 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) )
= $true )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(165,plain,
! [SV7: $i,SV11: $i,SV16: $i] :
( ( ( ! [SY87: $i] :
( ~ ( r1 @ SV16 @ SY87 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY87 @ SX4 )
| ( p1 @ SX4 ) ) ) )
= $false )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(166,plain,
! [SV8: $i,SV12: $i,SV18: $i] :
( ( ( ! [SY89: $i] :
( ~ ( r1 @ SV18 @ SY89 )
| ~ ( p1 @ SY89 ) ) )
= $false )
| ( ( r1 @ SV12 @ SV18 )
= $false )
| ( ( ~ ( p1 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(167,plain,
! [SV9: $i,SV13: $i,SV19: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV19 )
| ~ ! [SY90: $i] :
( ~ ( r1 @ SV19 @ SY90 )
| ( p1 @ SY90 ) ) )
= $true )
| ( ( ~ ~ ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) )
= $true )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(168,plain,
! [SV11: $i,SV7: $i,SV16: $i] :
( ( ( ~ ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
| ~ ! [SY91: $i] :
( ~ ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SY91 )
| ( p1 @ SY91 ) ) )
= $false )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[165]) ).
thf(169,plain,
! [SV12: $i,SV8: $i,SV18: $i] :
( ( ( ~ ( r1 @ SV18 @ ( sK9_SY89 @ SV8 @ SV12 @ SV18 ) )
| ~ ( p1 @ ( sK9_SY89 @ SV8 @ SV12 @ SV18 ) ) )
= $false )
| ( ( r1 @ SV12 @ SV18 )
= $false )
| ( ( ~ ( p1 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[166]) ).
thf(170,plain,
! [SV9: $i,SV13: $i,SV19: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV19 ) )
= $true )
| ( ( ~ ! [SY90: $i] :
( ~ ( r1 @ SV19 @ SY90 )
| ( p1 @ SY90 ) ) )
= $true )
| ( ( ~ ~ ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) )
= $true )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(171,plain,
! [SV11: $i,SV7: $i,SV16: $i] :
( ( ( ~ ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) ) )
= $false )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(172,plain,
! [SV16: $i,SV11: $i,SV7: $i] :
( ( ( ~ ! [SY91: $i] :
( ~ ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SY91 )
| ( p1 @ SY91 ) ) )
= $false )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(173,plain,
! [SV12: $i,SV8: $i,SV18: $i] :
( ( ( ~ ( r1 @ SV18 @ ( sK9_SY89 @ SV8 @ SV12 @ SV18 ) ) )
= $false )
| ( ( r1 @ SV12 @ SV18 )
= $false )
| ( ( ~ ( p1 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(174,plain,
! [SV18: $i,SV12: $i,SV8: $i] :
( ( ( ~ ( p1 @ ( sK9_SY89 @ SV8 @ SV12 @ SV18 ) ) )
= $false )
| ( ( r1 @ SV12 @ SV18 )
= $false )
| ( ( ~ ( p1 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(175,plain,
! [SV9: $i,SV13: $i,SV19: $i,SV14: $i] :
( ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( ~ ! [SY90: $i] :
( ~ ( r1 @ SV19 @ SY90 )
| ( p1 @ SY90 ) ) )
= $true )
| ( ( ~ ~ ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) )
= $true )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(176,plain,
! [SV11: $i,SV7: $i,SV16: $i] :
( ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(177,plain,
! [SV16: $i,SV11: $i,SV7: $i] :
( ( ( ! [SY91: $i] :
( ~ ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SY91 )
| ( p1 @ SY91 ) ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(178,plain,
! [SV12: $i,SV8: $i,SV18: $i] :
( ( ( r1 @ SV18 @ ( sK9_SY89 @ SV8 @ SV12 @ SV18 ) )
= $true )
| ( ( r1 @ SV12 @ SV18 )
= $false )
| ( ( ~ ( p1 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(179,plain,
! [SV18: $i,SV12: $i,SV8: $i] :
( ( ( p1 @ ( sK9_SY89 @ SV8 @ SV12 @ SV18 ) )
= $true )
| ( ( r1 @ SV12 @ SV18 )
= $false )
| ( ( ~ ( p1 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(180,plain,
! [SV9: $i,SV13: $i,SV14: $i,SV19: $i] :
( ( ( ! [SY90: $i] :
( ~ ( r1 @ SV19 @ SY90 )
| ( p1 @ SY90 ) ) )
= $false )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( ~ ~ ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) )
= $true )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(181,plain,
! [SV7: $i,SV16: $i,SV11: $i] :
( ( ( ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $false )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(182,plain,
! [SV20: $i,SV16: $i,SV11: $i,SV7: $i] :
( ( ( ~ ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
| ( p1 @ SV20 ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(183,plain,
! [SV8: $i,SV18: $i,SV12: $i] :
( ( ( p1 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV18 )
= $false )
| ( ( r1 @ SV18 @ ( sK9_SY89 @ SV8 @ SV12 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(184,plain,
! [SV8: $i,SV18: $i,SV12: $i] :
( ( ( p1 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV18 )
= $false )
| ( ( p1 @ ( sK9_SY89 @ SV8 @ SV12 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( ~ ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(185,plain,
! [SV14: $i,SV13: $i,SV9: $i,SV19: $i] :
( ( ( ~ ( r1 @ SV19 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
| ( p1 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) ) )
= $false )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( ~ ~ ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) )
= $true )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[180]) ).
thf(186,plain,
! [SV7: $i,SV16: $i,SV11: $i] :
( ( ( ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(187,plain,
! [SV20: $i,SV16: $i,SV11: $i,SV7: $i] :
( ( ( ~ ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 ) )
= $true )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(188,plain,
! [SV18: $i,SV12: $i,SV8: $i] :
( ( ( ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( r1 @ SV18 @ ( sK9_SY89 @ SV8 @ SV12 @ SV18 ) )
= $true )
| ( ( r1 @ SV12 @ SV18 )
= $false )
| ( ( p1 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(189,plain,
! [SV18: $i,SV12: $i,SV8: $i] :
( ( ( ~ ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p1 @ ( sK9_SY89 @ SV8 @ SV12 @ SV18 ) )
= $true )
| ( ( r1 @ SV12 @ SV18 )
= $false )
| ( ( p1 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(190,plain,
! [SV14: $i,SV13: $i,SV9: $i,SV19: $i] :
( ( ( ~ ( r1 @ SV19 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) ) )
= $false )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( ~ ~ ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) )
= $true )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(191,plain,
! [SV19: $i,SV14: $i,SV13: $i,SV9: $i] :
( ( ( p1 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $false )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( ~ ~ ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) )
= $true )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(192,plain,
! [SV7: $i,SV16: $i,SV21: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV21 )
| ~ ! [SY92: $i] :
( ~ ( r1 @ SV21 @ SY92 )
| ( p1 @ SY92 ) ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(193,plain,
! [SV20: $i,SV16: $i,SV11: $i,SV7: $i] :
( ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( ~ ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(194,plain,
! [SV18: $i,SV12: $i,SV8: $i] :
( ( ( ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( r1 @ SV18 @ ( sK9_SY89 @ SV8 @ SV12 @ SV18 ) )
= $true )
| ( ( r1 @ SV12 @ SV18 )
= $false )
| ( ( p1 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(195,plain,
! [SV18: $i,SV12: $i,SV8: $i] :
( ( ( ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ( p1 @ SY41 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p1 @ ( sK9_SY89 @ SV8 @ SV12 @ SV18 ) )
= $true )
| ( ( r1 @ SV12 @ SV18 )
= $false )
| ( ( p1 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(196,plain,
! [SV14: $i,SV13: $i,SV9: $i,SV19: $i] :
( ( ( r1 @ SV19 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $true )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( ~ ~ ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) )
= $true )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(197,plain,
! [SV13: $i,SV9: $i,SV19: $i,SV14: $i] :
( ( ( ~ ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) )
= $false )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( p1 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $false )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(198,plain,
! [SV7: $i,SV16: $i,SV21: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV21 ) )
= $true )
| ( ( ~ ! [SY92: $i] :
( ~ ( r1 @ SV21 @ SY92 )
| ( p1 @ SY92 ) ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(199,plain,
! [SV7: $i,SV20: $i,SV16: $i,SV11: $i] :
( ( ( ~ ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $false )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(200,plain,
! [SV18: $i,SV12: $i,SV8: $i,SV22: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV22 )
| ( p1 @ SV22 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( r1 @ SV18 @ ( sK9_SY89 @ SV8 @ SV12 @ SV18 ) )
= $true )
| ( ( r1 @ SV12 @ SV18 )
= $false )
| ( ( p1 @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(201,plain,
! [SV18: $i,SV12: $i,SV8: $i,SV23: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV23 )
| ( p1 @ SV23 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p1 @ ( sK9_SY89 @ SV8 @ SV12 @ SV18 ) )
= $true )
| ( ( r1 @ SV12 @ SV18 )
= $false )
| ( ( p1 @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(202,plain,
! [SV13: $i,SV9: $i,SV19: $i,SV14: $i] :
( ( ( ~ ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) )
= $false )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( r1 @ SV19 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $true )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(203,plain,
! [SV13: $i,SV9: $i,SV19: $i,SV14: $i] :
( ( ( ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) )
= $true )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( p1 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $false )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(204,plain,
! [SV7: $i,SV16: $i,SV21: $i,SV11: $i] :
( ( ( r1 @ SV11 @ SV21 )
= $false )
| ( ( ~ ! [SY92: $i] :
( ~ ( r1 @ SV21 @ SY92 )
| ( p1 @ SY92 ) ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(205,plain,
! [SV7: $i,SV20: $i,SV16: $i,SV11: $i] :
( ( ( ! [SY76: $i] :
( ~ ( r1 @ SV11 @ SY76 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(206,plain,
! [SV18: $i,SV12: $i,SV8: $i,SV22: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV22 ) )
= $true )
| ( ( p1 @ SV22 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( r1 @ SV18 @ ( sK9_SY89 @ SV8 @ SV12 @ SV18 ) )
= $true )
| ( ( r1 @ SV12 @ SV18 )
= $false )
| ( ( p1 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(207,plain,
! [SV18: $i,SV12: $i,SV8: $i,SV23: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV23 ) )
= $true )
| ( ( p1 @ SV23 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p1 @ ( sK9_SY89 @ SV8 @ SV12 @ SV18 ) )
= $true )
| ( ( r1 @ SV12 @ SV18 )
= $false )
| ( ( p1 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(208,plain,
! [SV13: $i,SV9: $i,SV19: $i,SV14: $i] :
( ( ( ! [SY86: $i] :
( ~ ( r1 @ SV14 @ SY86 )
| ( p1 @ SY86 ) ) )
= $true )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( r1 @ SV19 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $true )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(209,plain,
! [SV13: $i,SV9: $i,SV19: $i,SV24: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV24 )
| ( p1 @ SV24 ) )
= $true )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( p1 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $false )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(210,plain,
! [SV7: $i,SV16: $i,SV11: $i,SV21: $i] :
( ( ( ! [SY92: $i] :
( ~ ( r1 @ SV21 @ SY92 )
| ( p1 @ SY92 ) ) )
= $false )
| ( ( r1 @ SV11 @ SV21 )
= $false )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(211,plain,
! [SV7: $i,SV20: $i,SV16: $i,SV25: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV25 )
| ~ ! [SY93: $i] :
( ~ ( r1 @ SV25 @ SY93 )
| ( p1 @ SY93 ) ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(212,plain,
! [SV18: $i,SV12: $i,SV8: $i,SV22: $i] :
( ( ( r1 @ sK1_SX0 @ SV22 )
= $false )
| ( ( p1 @ SV22 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( r1 @ SV18 @ ( sK9_SY89 @ SV8 @ SV12 @ SV18 ) )
= $true )
| ( ( r1 @ SV12 @ SV18 )
= $false )
| ( ( p1 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(213,plain,
! [SV18: $i,SV12: $i,SV8: $i,SV23: $i] :
( ( ( r1 @ sK1_SX0 @ SV23 )
= $false )
| ( ( p1 @ SV23 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV12 )
= $false )
| ( ( p1 @ ( sK9_SY89 @ SV8 @ SV12 @ SV18 ) )
= $true )
| ( ( r1 @ SV12 @ SV18 )
= $false )
| ( ( p1 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(214,plain,
! [SV13: $i,SV9: $i,SV19: $i,SV26: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV26 )
| ( p1 @ SV26 ) )
= $true )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( r1 @ SV19 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $true )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(215,plain,
! [SV13: $i,SV9: $i,SV19: $i,SV24: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV24 ) )
= $true )
| ( ( p1 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( p1 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $false )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(216,plain,
! [SV11: $i,SV16: $i,SV7: $i,SV21: $i] :
( ( ( ~ ( r1 @ SV21 @ ( sK11_SY92 @ SV7 @ SV16 @ SV11 @ SV21 ) )
| ( p1 @ ( sK11_SY92 @ SV7 @ SV16 @ SV11 @ SV21 ) ) )
= $false )
| ( ( r1 @ SV11 @ SV21 )
= $false )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[210]) ).
thf(217,plain,
! [SV7: $i,SV20: $i,SV16: $i,SV25: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV25 ) )
= $true )
| ( ( ~ ! [SY93: $i] :
( ~ ( r1 @ SV25 @ SY93 )
| ( p1 @ SY93 ) ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(218,plain,
! [SV13: $i,SV9: $i,SV19: $i,SV26: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV26 ) )
= $true )
| ( ( p1 @ SV26 )
= $true )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( r1 @ SV19 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $true )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(219,plain,
! [SV13: $i,SV9: $i,SV19: $i,SV24: $i,SV14: $i] :
( ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p1 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( p1 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $false )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(220,plain,
! [SV11: $i,SV16: $i,SV7: $i,SV21: $i] :
( ( ( ~ ( r1 @ SV21 @ ( sK11_SY92 @ SV7 @ SV16 @ SV11 @ SV21 ) ) )
= $false )
| ( ( r1 @ SV11 @ SV21 )
= $false )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(221,plain,
! [SV21: $i,SV11: $i,SV16: $i,SV7: $i] :
( ( ( p1 @ ( sK11_SY92 @ SV7 @ SV16 @ SV11 @ SV21 ) )
= $false )
| ( ( r1 @ SV11 @ SV21 )
= $false )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(222,plain,
! [SV7: $i,SV20: $i,SV16: $i,SV25: $i,SV11: $i] :
( ( ( r1 @ SV11 @ SV25 )
= $false )
| ( ( ~ ! [SY93: $i] :
( ~ ( r1 @ SV25 @ SY93 )
| ( p1 @ SY93 ) ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(223,plain,
! [SV13: $i,SV9: $i,SV19: $i,SV26: $i,SV14: $i] :
( ( ( r1 @ SV14 @ SV26 )
= $false )
| ( ( p1 @ SV26 )
= $true )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( r1 @ SV19 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $true )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( ~ ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(224,plain,
! [SV24: $i,SV19: $i,SV14: $i,SV13: $i,SV9: $i] :
( ( ( ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( p1 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $false )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( p1 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(225,plain,
! [SV11: $i,SV16: $i,SV7: $i,SV21: $i] :
( ( ( r1 @ SV21 @ ( sK11_SY92 @ SV7 @ SV16 @ SV11 @ SV21 ) )
= $true )
| ( ( r1 @ SV11 @ SV21 )
= $false )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(226,plain,
! [SV21: $i,SV16: $i,SV11: $i,SV7: $i] :
( ( ( ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV21 )
= $false )
| ( ( p1 @ ( sK11_SY92 @ SV7 @ SV16 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(227,plain,
! [SV7: $i,SV20: $i,SV16: $i,SV11: $i,SV25: $i] :
( ( ( ! [SY93: $i] :
( ~ ( r1 @ SV25 @ SY93 )
| ( p1 @ SY93 ) ) )
= $false )
| ( ( r1 @ SV11 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(228,plain,
! [SV26: $i,SV19: $i,SV14: $i,SV13: $i,SV9: $i] :
( ( ( ~ ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ SV19 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $true )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( p1 @ SV26 )
= $true )
| ( ( r1 @ SV14 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(229,plain,
! [SV24: $i,SV19: $i,SV14: $i,SV13: $i,SV9: $i] :
( ( ( ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( p1 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $false )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( p1 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(230,plain,
! [SV21: $i,SV16: $i,SV11: $i,SV7: $i] :
( ( ( ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV21 )
= $false )
| ( ( r1 @ SV21 @ ( sK11_SY92 @ SV7 @ SV16 @ SV11 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(231,plain,
! [SV21: $i,SV16: $i,SV11: $i,SV7: $i] :
( ( ( ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV21 )
= $false )
| ( ( p1 @ ( sK11_SY92 @ SV7 @ SV16 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(232,plain,
! [SV11: $i,SV16: $i,SV20: $i,SV7: $i,SV25: $i] :
( ( ( ~ ( r1 @ SV25 @ ( sK12_SY93 @ SV7 @ SV20 @ SV16 @ SV11 @ SV25 ) )
| ( p1 @ ( sK12_SY93 @ SV7 @ SV20 @ SV16 @ SV11 @ SV25 ) ) )
= $false )
| ( ( r1 @ SV11 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[227]) ).
thf(233,plain,
! [SV26: $i,SV19: $i,SV14: $i,SV13: $i,SV9: $i] :
( ( ( ! [SY48: $i] :
( ~ ( r1 @ sK1_SX0 @ SY48 )
| ( p1 @ SY48 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ SV19 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $true )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( p1 @ SV26 )
= $true )
| ( ( r1 @ SV14 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(234,plain,
! [SV24: $i,SV19: $i,SV14: $i,SV13: $i,SV9: $i,SV27: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV27 )
| ( p1 @ SV27 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( p1 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $false )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( p1 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(235,plain,
! [SV21: $i,SV16: $i,SV11: $i,SV7: $i] :
( ( ( ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV21 )
= $false )
| ( ( r1 @ SV21 @ ( sK11_SY92 @ SV7 @ SV16 @ SV11 @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(236,plain,
! [SV21: $i,SV16: $i,SV11: $i,SV7: $i,SV28: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV28 )
| ( p1 @ SV28 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV21 )
= $false )
| ( ( p1 @ ( sK11_SY92 @ SV7 @ SV16 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(237,plain,
! [SV11: $i,SV16: $i,SV20: $i,SV7: $i,SV25: $i] :
( ( ( ~ ( r1 @ SV25 @ ( sK12_SY93 @ SV7 @ SV20 @ SV16 @ SV11 @ SV25 ) ) )
= $false )
| ( ( r1 @ SV11 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(238,plain,
! [SV25: $i,SV11: $i,SV16: $i,SV20: $i,SV7: $i] :
( ( ( p1 @ ( sK12_SY93 @ SV7 @ SV20 @ SV16 @ SV11 @ SV25 ) )
= $false )
| ( ( r1 @ SV11 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(239,plain,
! [SV26: $i,SV19: $i,SV14: $i,SV13: $i,SV9: $i,SV29: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV29 )
| ( p1 @ SV29 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ SV19 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $true )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( p1 @ SV26 )
= $true )
| ( ( r1 @ SV14 @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(240,plain,
! [SV24: $i,SV19: $i,SV14: $i,SV13: $i,SV9: $i,SV27: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV27 ) )
= $true )
| ( ( p1 @ SV27 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( p1 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $false )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( p1 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(241,plain,
! [SV21: $i,SV16: $i,SV11: $i,SV7: $i,SV30: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV30 )
| ( p1 @ SV30 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV21 )
= $false )
| ( ( r1 @ SV21 @ ( sK11_SY92 @ SV7 @ SV16 @ SV11 @ SV21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(242,plain,
! [SV21: $i,SV16: $i,SV11: $i,SV7: $i,SV28: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV28 ) )
= $true )
| ( ( p1 @ SV28 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV21 )
= $false )
| ( ( p1 @ ( sK11_SY92 @ SV7 @ SV16 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(243,plain,
! [SV11: $i,SV16: $i,SV20: $i,SV7: $i,SV25: $i] :
( ( ( r1 @ SV25 @ ( sK12_SY93 @ SV7 @ SV20 @ SV16 @ SV11 @ SV25 ) )
= $true )
| ( ( r1 @ SV11 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(244,plain,
! [SV25: $i,SV20: $i,SV16: $i,SV11: $i,SV7: $i] :
( ( ( ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV25 )
= $false )
| ( ( p1 @ ( sK12_SY93 @ SV7 @ SV20 @ SV16 @ SV11 @ SV25 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(245,plain,
! [SV26: $i,SV19: $i,SV14: $i,SV13: $i,SV9: $i,SV29: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV29 ) )
= $true )
| ( ( p1 @ SV29 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ SV19 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $true )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( p1 @ SV26 )
= $true )
| ( ( r1 @ SV14 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(246,plain,
! [SV24: $i,SV19: $i,SV14: $i,SV13: $i,SV9: $i,SV27: $i] :
( ( ( r1 @ sK1_SX0 @ SV27 )
= $false )
| ( ( p1 @ SV27 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( p1 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $false )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( p1 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(247,plain,
! [SV21: $i,SV16: $i,SV11: $i,SV7: $i,SV30: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV30 ) )
= $true )
| ( ( p1 @ SV30 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV21 )
= $false )
| ( ( r1 @ SV21 @ ( sK11_SY92 @ SV7 @ SV16 @ SV11 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(248,plain,
! [SV21: $i,SV16: $i,SV11: $i,SV7: $i,SV28: $i] :
( ( ( r1 @ sK1_SX0 @ SV28 )
= $false )
| ( ( p1 @ SV28 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV21 )
= $false )
| ( ( p1 @ ( sK11_SY92 @ SV7 @ SV16 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(249,plain,
! [SV25: $i,SV20: $i,SV16: $i,SV11: $i,SV7: $i] :
( ( ( ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV25 )
= $false )
| ( ( r1 @ SV25 @ ( sK12_SY93 @ SV7 @ SV20 @ SV16 @ SV11 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(250,plain,
! [SV25: $i,SV20: $i,SV16: $i,SV11: $i,SV7: $i] :
( ( ( ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV25 )
= $false )
| ( ( p1 @ ( sK12_SY93 @ SV7 @ SV20 @ SV16 @ SV11 @ SV25 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(251,plain,
! [SV26: $i,SV19: $i,SV14: $i,SV13: $i,SV9: $i,SV29: $i] :
( ( ( r1 @ sK1_SX0 @ SV29 )
= $false )
| ( ( p1 @ SV29 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV9 )
= $false )
| ( ( p2 @ SV9 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV13 )
= $false )
| ( ( r1 @ SV13 @ SV14 )
= $false )
| ( ( r1 @ SV19 @ ( sK10_SY90 @ SV9 @ SV13 @ SV14 @ SV19 ) )
= $true )
| ( ( r1 @ SV14 @ SV19 )
= $false )
| ( ( p1 @ SV26 )
= $true )
| ( ( r1 @ SV14 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(252,plain,
! [SV21: $i,SV16: $i,SV11: $i,SV7: $i,SV30: $i] :
( ( ( r1 @ sK1_SX0 @ SV30 )
= $false )
| ( ( p1 @ SV30 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ SV16 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV21 )
= $false )
| ( ( r1 @ SV21 @ ( sK11_SY92 @ SV7 @ SV16 @ SV11 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(253,plain,
! [SV25: $i,SV20: $i,SV16: $i,SV11: $i,SV7: $i] :
( ( ( ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV25 )
= $false )
| ( ( r1 @ SV25 @ ( sK12_SY93 @ SV7 @ SV20 @ SV16 @ SV11 @ SV25 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(254,plain,
! [SV25: $i,SV20: $i,SV16: $i,SV11: $i,SV7: $i,SV31: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV31 )
| ( p1 @ SV31 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV25 )
= $false )
| ( ( p1 @ ( sK12_SY93 @ SV7 @ SV20 @ SV16 @ SV11 @ SV25 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(255,plain,
! [SV25: $i,SV20: $i,SV16: $i,SV11: $i,SV7: $i,SV32: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV32 )
| ( p1 @ SV32 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV25 )
= $false )
| ( ( r1 @ SV25 @ ( sK12_SY93 @ SV7 @ SV20 @ SV16 @ SV11 @ SV25 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(256,plain,
! [SV25: $i,SV20: $i,SV16: $i,SV11: $i,SV7: $i,SV31: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV31 ) )
= $true )
| ( ( p1 @ SV31 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV25 )
= $false )
| ( ( p1 @ ( sK12_SY93 @ SV7 @ SV20 @ SV16 @ SV11 @ SV25 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(257,plain,
! [SV25: $i,SV20: $i,SV16: $i,SV11: $i,SV7: $i,SV32: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV32 ) )
= $true )
| ( ( p1 @ SV32 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV25 )
= $false )
| ( ( r1 @ SV25 @ ( sK12_SY93 @ SV7 @ SV20 @ SV16 @ SV11 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(258,plain,
! [SV25: $i,SV20: $i,SV16: $i,SV11: $i,SV7: $i,SV31: $i] :
( ( ( r1 @ sK1_SX0 @ SV31 )
= $false )
| ( ( p1 @ SV31 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV25 )
= $false )
| ( ( p1 @ ( sK12_SY93 @ SV7 @ SV20 @ SV16 @ SV11 @ SV25 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(259,plain,
! [SV25: $i,SV20: $i,SV16: $i,SV11: $i,SV7: $i,SV32: $i] :
( ( ( r1 @ sK1_SX0 @ SV32 )
= $false )
| ( ( p1 @ SV32 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( p2 @ SV7 )
= $true )
| ( ( r1 @ sK1_SX0 @ SV11 )
= $false )
| ( ( r1 @ ( sK8_SY87 @ SV7 @ SV11 @ SV16 ) @ SV20 )
= $false )
| ( ( p1 @ SV20 )
= $true )
| ( ( r1 @ SV11 @ SV16 )
= $false )
| ( ( r1 @ SV11 @ SV25 )
= $false )
| ( ( r1 @ SV25 @ ( sK12_SY93 @ SV7 @ SV20 @ SV16 @ SV11 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(260,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[14,259,258,252,251,248,246,213,212,162,158,88,72,67,60,57,56,51,47,41,34]) ).
thf(261,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL672+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.20 % Computer : n017.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Oct 6 12:23:46 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.41
% 0.55/0.41 No.of.Axioms: 2
% 0.55/0.41
% 0.55/0.41 Length.of.Defs: 0
% 0.55/0.41
% 0.55/0.41 Contains.Choice.Funs: false
% 0.55/0.41 ...........
% 0.55/0.41
% 0.55/0.41 ********************************
% 0.55/0.41 * All subproblems solved! *
% 0.55/0.41 ********************************
% 0.55/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:2,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:260,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.55/0.41
% 0.55/0.41 %**** Beginning of derivation protocol ****
% 0.55/0.41 % SZS output start CNFRefutation
% See solution above
% 0.55/0.41
% 0.55/0.41 %**** End of derivation protocol ****
% 0.55/0.41 %**** no. of clauses in derivation: 261 ****
% 0.55/0.41 %**** clause counter: 260 ****
% 0.55/0.41
% 0.55/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:2,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:260,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------