TSTP Solution File: LCL672+1.001 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL672+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:25:28 EDT 2022
% Result : Theorem 1.07s 1.29s
% Output : CNFRefutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 17
% Syntax : Number of formulae : 223 ( 82 unt; 14 typ; 0 def)
% Number of atoms : 4072 ( 903 equ; 0 cnn)
% Maximal formula atoms : 49 ( 19 avg)
% Number of connectives : 8501 (1857 ~;1977 |; 78 &;4587 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 1159 ( 0 ^1155 !; 4 ?;1159 :)
% 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_SY66,type,
sK10_SY66: $i ).
thf(tp_sK11_SY35,type,
sK11_SY35: $i ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_X,type,
sK2_X: $i > $i > $i > $i ).
thf(tp_sK3_Y,type,
sK3_Y: $i > $i > $i ).
thf(tp_sK4_Y,type,
sK4_Y: $i > $i > $i ).
thf(tp_sK5_Y,type,
sK5_Y: $i > $i > $i ).
thf(tp_sK6_X,type,
sK6_X: $i > $i ).
thf(tp_sK7_SY40,type,
sK7_SY40: $i ).
thf(tp_sK8_SY36,type,
sK8_SY36: $i ).
thf(tp_sK9_SY67,type,
sK9_SY67: $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,
( ( ( r1 @ sK1_X @ sK11_SY35 )
& ~ ( p1 @ sK11_SY35 )
& ( r1 @ sK8_SY36 @ sK10_SY66 )
& ~ ( p1 @ sK10_SY66 )
& ( r1 @ sK1_X @ sK8_SY36 )
& ( r1 @ sK8_SY36 @ sK9_SY67 )
& ! [SY69: $i] :
( ~ ( r1 @ sK9_SY67 @ SY69 )
| ( p1 @ SY69 ) )
& ( r1 @ sK1_X @ sK7_SY40 )
& ~ ( p2 @ sK7_SY40 )
& ( ! [SY41: $i] :
( ~ ( r1 @ sK1_X @ SY41 )
| ( p2 @ SY41 ) )
| ! [SY42: $i] :
( ~ ( r1 @ sK1_X @ SY42 )
| ( r1 @ SY42 @ ( sK6_X @ SY42 ) ) )
| ! [SY44: $i] :
( ~ ( r1 @ sK1_X @ SY44 )
| ( p1 @ SY44 ) ) )
& ( ! [SY45: $i] :
( ~ ( r1 @ sK1_X @ SY45 )
| ( p2 @ SY45 ) )
| ! [SY46: $i] :
( ~ ( r1 @ sK1_X @ SY46 )
| ! [X: $i] :
( ~ ( r1 @ SY46 @ X )
| ( ( r1 @ X @ ( sK5_Y @ X @ SY46 ) )
& ! [SY65: $i] :
( ~ ( r1 @ ( sK5_Y @ X @ SY46 ) @ SY65 )
| ( p1 @ SY65 ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ SY46 @ X )
| ( ( r1 @ X @ ( sK4_Y @ X @ SY46 ) )
& ~ ( p1 @ ( sK4_Y @ X @ SY46 ) ) ) ) )
| ! [SY52: $i] :
( ~ ( r1 @ sK1_X @ SY52 )
| ( p1 @ SY52 ) ) )
& ( ! [SY53: $i] :
( ~ ( r1 @ sK1_X @ SY53 )
| ( p2 @ SY53 ) )
| ! [SY54: $i] :
( ~ ( r1 @ sK1_X @ SY54 )
| ! [X: $i] :
( ~ ( r1 @ SY54 @ X )
| ( ( r1 @ X @ ( sK3_Y @ X @ SY54 ) )
& ( p1 @ ( sK3_Y @ X @ SY54 ) ) ) )
| ~ ( p1 @ SY54 ) )
| ! [SY57: $i] :
( ~ ( r1 @ sK1_X @ SY57 )
| ( p1 @ SY57 ) ) )
& ( ! [SY58: $i] :
( ~ ( r1 @ sK1_X @ SY58 )
| ( p2 @ SY58 ) )
| ! [SY59: $i] :
( ~ ( r1 @ sK1_X @ SY59 )
| ! [X: $i] :
( ~ ( r1 @ SY59 @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK2_X @ Y @ X @ SY59 ) )
& ~ ( p1 @ ( sK2_X @ Y @ X @ SY59 ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) )
| ! [SY64: $i] :
( ~ ( r1 @ sK1_X @ SY64 )
| ( p1 @ SY64 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( r1 @ Y @ Z )
| ( r1 @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(11,plain,
( ( ! [X: $i] : ( r1 @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(12,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( r1 @ Y @ Z )
| ( r1 @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(13,plain,
( ( ( r1 @ sK1_X @ sK11_SY35 )
& ~ ( p1 @ sK11_SY35 )
& ( r1 @ sK8_SY36 @ sK10_SY66 )
& ~ ( p1 @ sK10_SY66 )
& ( r1 @ sK1_X @ sK8_SY36 )
& ( r1 @ sK8_SY36 @ sK9_SY67 )
& ! [SY69: $i] :
( ~ ( r1 @ sK9_SY67 @ SY69 )
| ( p1 @ SY69 ) )
& ( r1 @ sK1_X @ sK7_SY40 )
& ~ ( p2 @ sK7_SY40 )
& ( ! [SY41: $i] :
( ~ ( r1 @ sK1_X @ SY41 )
| ( p2 @ SY41 ) )
| ! [SY42: $i] :
( ~ ( r1 @ sK1_X @ SY42 )
| ( r1 @ SY42 @ ( sK6_X @ SY42 ) ) )
| ! [SY44: $i] :
( ~ ( r1 @ sK1_X @ SY44 )
| ( p1 @ SY44 ) ) )
& ( ! [SY45: $i] :
( ~ ( r1 @ sK1_X @ SY45 )
| ( p2 @ SY45 ) )
| ! [SY46: $i] :
( ~ ( r1 @ sK1_X @ SY46 )
| ! [X: $i] :
( ~ ( r1 @ SY46 @ X )
| ( ( r1 @ X @ ( sK5_Y @ X @ SY46 ) )
& ! [SY65: $i] :
( ~ ( r1 @ ( sK5_Y @ X @ SY46 ) @ SY65 )
| ( p1 @ SY65 ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ SY46 @ X )
| ( ( r1 @ X @ ( sK4_Y @ X @ SY46 ) )
& ~ ( p1 @ ( sK4_Y @ X @ SY46 ) ) ) ) )
| ! [SY52: $i] :
( ~ ( r1 @ sK1_X @ SY52 )
| ( p1 @ SY52 ) ) )
& ( ! [SY53: $i] :
( ~ ( r1 @ sK1_X @ SY53 )
| ( p2 @ SY53 ) )
| ! [SY54: $i] :
( ~ ( r1 @ sK1_X @ SY54 )
| ! [X: $i] :
( ~ ( r1 @ SY54 @ X )
| ( ( r1 @ X @ ( sK3_Y @ X @ SY54 ) )
& ( p1 @ ( sK3_Y @ X @ SY54 ) ) ) )
| ~ ( p1 @ SY54 ) )
| ! [SY57: $i] :
( ~ ( r1 @ sK1_X @ SY57 )
| ( p1 @ SY57 ) ) )
& ( ! [SY58: $i] :
( ~ ( r1 @ sK1_X @ SY58 )
| ( p2 @ SY58 ) )
| ! [SY59: $i] :
( ~ ( r1 @ sK1_X @ SY59 )
| ! [X: $i] :
( ~ ( r1 @ SY59 @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK2_X @ Y @ X @ SY59 ) )
& ~ ( p1 @ ( sK2_X @ Y @ X @ SY59 ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) )
| ! [SY64: $i] :
( ~ ( r1 @ sK1_X @ SY64 )
| ( p1 @ SY64 ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(14,plain,
( ( ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK11_SY35 )
| ~ ~ ( p1 @ sK11_SY35 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK10_SY66 )
| ~ ~ ( p1 @ sK10_SY66 ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK8_SY36 )
| ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK9_SY67 )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK9_SY67 @ SX0 )
| ( p1 @ SX0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY40 )
| ~ ~ ( p2 @ sK7_SY40 ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK6_X @ SX0 ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(15,plain,
! [SV1: $i] :
( ( r1 @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(16,plain,
! [SV2: $i] :
( ( ! [SY70: $i,SY71: $i] :
( ~ ( r1 @ SV2 @ SY70 )
| ~ ( r1 @ SY70 @ SY71 )
| ( r1 @ SV2 @ SY71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(17,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK11_SY35 )
| ~ ~ ( p1 @ sK11_SY35 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK10_SY66 )
| ~ ~ ( p1 @ sK10_SY66 ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK8_SY36 )
| ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK9_SY67 )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK9_SY67 @ SX0 )
| ( p1 @ SX0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY40 )
| ~ ~ ( p2 @ sK7_SY40 ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK6_X @ SX0 ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(18,plain,
! [SV3: $i,SV2: $i] :
( ( ! [SY72: $i] :
( ~ ( r1 @ SV2 @ SV3 )
| ~ ( r1 @ SV3 @ SY72 )
| ( r1 @ SV2 @ SY72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK11_SY35 )
| ~ ~ ( p1 @ sK11_SY35 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK10_SY66 )
| ~ ~ ( p1 @ sK10_SY66 ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK8_SY36 )
| ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK9_SY67 )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK9_SY67 @ SX0 )
| ( p1 @ SX0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY40 )
| ~ ~ ( p2 @ sK7_SY40 ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK6_X @ SX0 ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,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(22,plain,
( ( ~ ( ~ ( r1 @ sK1_X @ sK11_SY35 )
| ~ ~ ( p1 @ sK11_SY35 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK10_SY66 )
| ~ ~ ( p1 @ sK10_SY66 ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK8_SY36 )
| ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK9_SY67 )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK9_SY67 @ SX0 )
| ( p1 @ SX0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY40 )
| ~ ~ ( p2 @ sK7_SY40 ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK6_X @ SX0 ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(24,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV3 )
| ~ ( r1 @ SV3 @ SV4 ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ( r1 @ sK1_X @ sK11_SY35 )
| ~ ~ ( p1 @ sK11_SY35 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK10_SY66 )
| ~ ~ ( p1 @ sK10_SY66 ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK8_SY36 )
| ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK9_SY67 )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK9_SY67 @ SX0 )
| ( p1 @ SX0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY40 )
| ~ ~ ( p2 @ sK7_SY40 ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK6_X @ SX0 ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,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)],[24]) ).
thf(28,plain,
( ( ~ ( r1 @ sK1_X @ sK11_SY35 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ~ ( p1 @ sK11_SY35 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(30,plain,
( ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK10_SY66 )
| ~ ~ ( p1 @ sK10_SY66 ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK8_SY36 )
| ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK9_SY67 )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK9_SY67 @ SX0 )
| ( p1 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(31,plain,
( ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY40 )
| ~ ~ ( p2 @ sK7_SY40 ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK6_X @ SX0 ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(32,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)],[27]) ).
thf(33,plain,
( ( r1 @ sK1_X @ sK11_SY35 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ( p1 @ sK11_SY35 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(35,plain,
( ( ~ ( ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK10_SY66 )
| ~ ~ ( p1 @ sK10_SY66 ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK8_SY36 )
| ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK9_SY67 )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK9_SY67 @ SX0 )
| ( p1 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(36,plain,
( ( ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY40 )
| ~ ~ ( p2 @ sK7_SY40 ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK6_X @ SX0 ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(37,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)],[32]) ).
thf(38,plain,
( ( p1 @ sK11_SY35 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(39,plain,
( ( ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK10_SY66 )
| ~ ~ ( p1 @ sK10_SY66 ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK8_SY36 )
| ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK9_SY67 )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK9_SY67 @ SX0 )
| ( p1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(40,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY40 )
| ~ ~ ( p2 @ sK7_SY40 ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK6_X @ SX0 ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(41,plain,
( ( ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK10_SY66 )
| ~ ~ ( p1 @ sK10_SY66 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(42,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK8_SY36 )
| ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK9_SY67 )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK9_SY67 @ SX0 )
| ( p1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(43,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY40 )
| ~ ~ ( p2 @ sK7_SY40 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(44,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK6_X @ SX0 ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(45,plain,
( ( ~ ( ~ ( r1 @ sK8_SY36 @ sK10_SY66 )
| ~ ~ ( p1 @ sK10_SY66 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(46,plain,
( ( ~ ( ~ ( r1 @ sK1_X @ sK8_SY36 )
| ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK9_SY67 )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK9_SY67 @ SX0 )
| ( p1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(47,plain,
( ( ~ ( ~ ( r1 @ sK1_X @ sK7_SY40 )
| ~ ~ ( p2 @ sK7_SY40 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(48,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK6_X @ SX0 ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(49,plain,
( ( ~ ( r1 @ sK8_SY36 @ sK10_SY66 )
| ~ ~ ( p1 @ sK10_SY66 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(50,plain,
( ( ~ ( r1 @ sK1_X @ sK8_SY36 )
| ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK9_SY67 )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK9_SY67 @ SX0 )
| ( p1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(51,plain,
( ( ~ ( r1 @ sK1_X @ sK7_SY40 )
| ~ ~ ( p2 @ sK7_SY40 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(52,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK6_X @ SX0 ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(53,plain,
( ( ~ ( r1 @ sK8_SY36 @ sK10_SY66 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(54,plain,
( ( ~ ~ ( p1 @ sK10_SY66 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(55,plain,
( ( ~ ( r1 @ sK1_X @ sK8_SY36 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(56,plain,
( ( ~ ~ ( ~ ( r1 @ sK8_SY36 @ sK9_SY67 )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK9_SY67 @ SX0 )
| ( p1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(57,plain,
( ( ~ ( r1 @ sK1_X @ sK7_SY40 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(58,plain,
( ( ~ ~ ( p2 @ sK7_SY40 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(59,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK6_X @ SX0 ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(60,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(61,plain,
( ( r1 @ sK8_SY36 @ sK10_SY66 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(62,plain,
( ( ~ ( p1 @ sK10_SY66 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(63,plain,
( ( r1 @ sK1_X @ sK8_SY36 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(64,plain,
( ( ~ ( ~ ( r1 @ sK8_SY36 @ sK9_SY67 )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK9_SY67 @ SX0 )
| ( p1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(65,plain,
( ( r1 @ sK1_X @ sK7_SY40 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(66,plain,
( ( ~ ( p2 @ sK7_SY40 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(67,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK6_X @ SX0 ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(68,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(69,plain,
( ( p1 @ sK10_SY66 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(70,plain,
( ( ~ ( r1 @ sK8_SY36 @ sK9_SY67 )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK9_SY67 @ SX0 )
| ( p1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(71,plain,
( ( p2 @ sK7_SY40 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(72,plain,
( ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK6_X @ SX0 ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(73,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(74,plain,
( ( ~ ( r1 @ sK8_SY36 @ sK9_SY67 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(75,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK9_SY67 @ SX0 )
| ( p1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(76,plain,
( ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK6_X @ SX0 ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(77,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(78,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(79,plain,
( ( r1 @ sK8_SY36 @ sK9_SY67 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(80,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK9_SY67 @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(81,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV5 )
| ( p2 @ SV5 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK6_X @ SX0 ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(82,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(83,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(84,plain,
! [SV6: $i] :
( ( ~ ( r1 @ sK9_SY67 @ SV6 )
| ( p1 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(85,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV5 ) )
= $true )
| ( ( p2 @ SV5 )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK6_X @ SX0 ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(86,plain,
( ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(87,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(88,plain,
! [SV6: $i] :
( ( ( ~ ( r1 @ sK9_SY67 @ SV6 ) )
= $true )
| ( ( p1 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(89,plain,
! [SV5: $i] :
( ( ( r1 @ sK1_X @ SV5 )
= $false )
| ( ( p2 @ SV5 )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK6_X @ SX0 ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(90,plain,
( ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(91,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(92,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(93,plain,
! [SV6: $i] :
( ( ( r1 @ sK9_SY67 @ SV6 )
= $false )
| ( ( p1 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(94,plain,
! [SV5: $i,SV7: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV7 )
| ( r1 @ SV7 @ ( sK6_X @ SV7 ) ) )
= $true )
| ( ( p2 @ SV5 )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(95,plain,
! [SV8: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV8 )
| ( p2 @ SV8 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(96,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(97,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(98,plain,
! [SV5: $i,SV7: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV7 ) )
= $true )
| ( ( r1 @ SV7 @ ( sK6_X @ SV7 ) )
= $true )
| ( ( p2 @ SV5 )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(99,plain,
! [SV8: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV8 ) )
= $true )
| ( ( p2 @ SV8 )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(100,plain,
( ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(101,plain,
( ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(102,plain,
! [SV5: $i,SV7: $i] :
( ( ( r1 @ sK1_X @ SV7 )
= $false )
| ( ( r1 @ SV7 @ ( sK6_X @ SV7 ) )
= $true )
| ( ( p2 @ SV5 )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(103,plain,
! [SV8: $i] :
( ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK5_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK5_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(104,plain,
( ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(105,plain,
( ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(106,plain,
! [SV7: $i,SV5: $i,SV9: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV9 )
| ( p1 @ SV9 ) )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false )
| ( ( p2 @ SV5 )
= $true )
| ( ( r1 @ SV7 @ ( sK6_X @ SV7 ) )
= $true )
| ( ( r1 @ sK1_X @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(107,plain,
! [SV8: $i,SV10: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV10 )
| ! [SY73: $i] :
( ~ ( r1 @ SV10 @ SY73 )
| ~ ( ~ ( r1 @ SY73 @ ( sK5_Y @ SY73 @ SV10 ) )
| ~ ! [SY74: $i] :
( ~ ( r1 @ ( sK5_Y @ SY73 @ SV10 ) @ SY74 )
| ( p1 @ SY74 ) ) ) )
| ! [SY75: $i] :
( ~ ( r1 @ SV10 @ SY75 )
| ~ ( ~ ( r1 @ SY75 @ ( sK4_Y @ SY75 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SY75 @ SV10 ) ) ) ) )
= $true )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(108,plain,
! [SV11: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV11 )
| ( p2 @ SV11 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(109,plain,
! [SV12: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV12 )
| ( p2 @ SV12 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(110,plain,
! [SV7: $i,SV5: $i,SV9: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV9 ) )
= $true )
| ( ( p1 @ SV9 )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false )
| ( ( p2 @ SV5 )
= $true )
| ( ( r1 @ SV7 @ ( sK6_X @ SV7 ) )
= $true )
| ( ( r1 @ sK1_X @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(111,plain,
! [SV8: $i,SV10: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV10 ) )
= $true )
| ( ( ! [SY73: $i] :
( ~ ( r1 @ SV10 @ SY73 )
| ~ ( ~ ( r1 @ SY73 @ ( sK5_Y @ SY73 @ SV10 ) )
| ~ ! [SY74: $i] :
( ~ ( r1 @ ( sK5_Y @ SY73 @ SV10 ) @ SY74 )
| ( p1 @ SY74 ) ) ) )
| ! [SY75: $i] :
( ~ ( r1 @ SV10 @ SY75 )
| ~ ( ~ ( r1 @ SY75 @ ( sK4_Y @ SY75 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SY75 @ SV10 ) ) ) ) )
= $true )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(112,plain,
! [SV11: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV11 ) )
= $true )
| ( ( p2 @ SV11 )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(113,plain,
! [SV12: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV12 ) )
= $true )
| ( ( p2 @ SV12 )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(114,plain,
! [SV7: $i,SV5: $i,SV9: $i] :
( ( ( r1 @ sK1_X @ SV9 )
= $false )
| ( ( p1 @ SV9 )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false )
| ( ( p2 @ SV5 )
= $true )
| ( ( r1 @ SV7 @ ( sK6_X @ SV7 ) )
= $true )
| ( ( r1 @ sK1_X @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(115,plain,
! [SV8: $i,SV10: $i] :
( ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( ! [SY73: $i] :
( ~ ( r1 @ SV10 @ SY73 )
| ~ ( ~ ( r1 @ SY73 @ ( sK5_Y @ SY73 @ SV10 ) )
| ~ ! [SY74: $i] :
( ~ ( r1 @ ( sK5_Y @ SY73 @ SV10 ) @ SY74 )
| ( p1 @ SY74 ) ) ) )
| ! [SY75: $i] :
( ~ ( r1 @ SV10 @ SY75 )
| ~ ( ~ ( r1 @ SY75 @ ( sK4_Y @ SY75 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SY75 @ SV10 ) ) ) ) )
= $true )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(116,plain,
! [SV11: $i] :
( ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( p2 @ SV11 )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(117,plain,
! [SV12: $i] :
( ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK2_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(118,plain,
! [SV8: $i,SV10: $i] :
( ( ( ! [SY73: $i] :
( ~ ( r1 @ SV10 @ SY73 )
| ~ ( ~ ( r1 @ SY73 @ ( sK5_Y @ SY73 @ SV10 ) )
| ~ ! [SY74: $i] :
( ~ ( r1 @ ( sK5_Y @ SY73 @ SV10 ) @ SY74 )
| ( p1 @ SY74 ) ) ) ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( r1 @ SV10 @ SY75 )
| ~ ( ~ ( r1 @ SY75 @ ( sK4_Y @ SY75 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SY75 @ SV10 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(119,plain,
! [SV11: $i,SV13: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV13 )
| ! [SY76: $i] :
( ~ ( r1 @ SV13 @ SY76 )
| ~ ( ~ ( r1 @ SY76 @ ( sK3_Y @ SY76 @ SV13 ) )
| ~ ( p1 @ ( sK3_Y @ SY76 @ SV13 ) ) ) )
| ~ ( p1 @ SV13 ) )
= $true )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(120,plain,
! [SV12: $i,SV14: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV14 )
| ! [SY77: $i] :
( ~ ( r1 @ SV14 @ SY77 )
| ! [SY78: $i] :
( ~ ( r1 @ SY77 @ SY78 )
| ~ ( ~ ( r1 @ SY78 @ ( sK2_X @ SY78 @ SY77 @ SV14 ) )
| ~ ~ ( p1 @ ( sK2_X @ SY78 @ SY77 @ SV14 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY77 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(121,plain,
! [SV8: $i,SV15: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV15 )
| ~ ( ~ ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
| ~ ! [SY80: $i] :
( ~ ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SY80 )
| ( p1 @ SY80 ) ) ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( r1 @ SV10 @ SY75 )
| ~ ( ~ ( r1 @ SY75 @ ( sK4_Y @ SY75 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SY75 @ SV10 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(122,plain,
! [SV11: $i,SV13: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV13 ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( r1 @ SV13 @ SY76 )
| ~ ( ~ ( r1 @ SY76 @ ( sK3_Y @ SY76 @ SV13 ) )
| ~ ( p1 @ ( sK3_Y @ SY76 @ SV13 ) ) ) )
| ~ ( p1 @ SV13 ) )
= $true )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(123,plain,
! [SV12: $i,SV14: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV14 ) )
= $true )
| ( ( ! [SY77: $i] :
( ~ ( r1 @ SV14 @ SY77 )
| ! [SY78: $i] :
( ~ ( r1 @ SY77 @ SY78 )
| ~ ( ~ ( r1 @ SY78 @ ( sK2_X @ SY78 @ SY77 @ SV14 ) )
| ~ ~ ( p1 @ ( sK2_X @ SY78 @ SY77 @ SV14 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY77 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(124,plain,
! [SV8: $i,SV15: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV15 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
| ~ ! [SY80: $i] :
( ~ ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SY80 )
| ( p1 @ SY80 ) ) ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( r1 @ SV10 @ SY75 )
| ~ ( ~ ( r1 @ SY75 @ ( sK4_Y @ SY75 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SY75 @ SV10 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(125,plain,
! [SV11: $i,SV13: $i] :
( ( ( r1 @ sK1_X @ SV13 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( r1 @ SV13 @ SY76 )
| ~ ( ~ ( r1 @ SY76 @ ( sK3_Y @ SY76 @ SV13 ) )
| ~ ( p1 @ ( sK3_Y @ SY76 @ SV13 ) ) ) )
| ~ ( p1 @ SV13 ) )
= $true )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(126,plain,
! [SV12: $i,SV14: $i] :
( ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( ! [SY77: $i] :
( ~ ( r1 @ SV14 @ SY77 )
| ! [SY78: $i] :
( ~ ( r1 @ SY77 @ SY78 )
| ~ ( ~ ( r1 @ SY78 @ ( sK2_X @ SY78 @ SY77 @ SV14 ) )
| ~ ~ ( p1 @ ( sK2_X @ SY78 @ SY77 @ SV14 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY77 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(127,plain,
! [SV8: $i,SV15: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
| ~ ! [SY80: $i] :
( ~ ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SY80 )
| ( p1 @ SY80 ) ) ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( r1 @ SV10 @ SY75 )
| ~ ( ~ ( r1 @ SY75 @ ( sK4_Y @ SY75 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SY75 @ SV10 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(128,plain,
! [SV11: $i,SV13: $i] :
( ( ( ! [SY76: $i] :
( ~ ( r1 @ SV13 @ SY76 )
| ~ ( ~ ( r1 @ SY76 @ ( sK3_Y @ SY76 @ SV13 ) )
| ~ ( p1 @ ( sK3_Y @ SY76 @ SV13 ) ) ) ) )
= $true )
| ( ( ~ ( p1 @ SV13 ) )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(129,plain,
! [SV12: $i,SV16: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV16 )
| ! [SY81: $i] :
( ~ ( r1 @ SV16 @ SY81 )
| ~ ( ~ ( r1 @ SY81 @ ( sK2_X @ SY81 @ SV16 @ SV14 ) )
| ~ ~ ( p1 @ ( sK2_X @ SY81 @ SV16 @ SV14 ) ) ) )
| ! [SY82: $i] :
( ~ ( r1 @ SV16 @ SY82 )
| ( p1 @ SY82 ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(130,plain,
! [SV8: $i,SV10: $i,SV15: $i] :
( ( ( ~ ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
| ~ ! [SY80: $i] :
( ~ ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SY80 )
| ( p1 @ SY80 ) ) )
= $false )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( r1 @ SV10 @ SY75 )
| ~ ( ~ ( r1 @ SY75 @ ( sK4_Y @ SY75 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SY75 @ SV10 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(131,plain,
! [SV11: $i,SV17: $i,SV13: $i] :
( ( ( ~ ( r1 @ SV13 @ SV17 )
| ~ ( ~ ( r1 @ SV17 @ ( sK3_Y @ SV17 @ SV13 ) )
| ~ ( p1 @ ( sK3_Y @ SV17 @ SV13 ) ) ) )
= $true )
| ( ( ~ ( p1 @ SV13 ) )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(132,plain,
! [SV12: $i,SV16: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV16 ) )
= $true )
| ( ( ! [SY81: $i] :
( ~ ( r1 @ SV16 @ SY81 )
| ~ ( ~ ( r1 @ SY81 @ ( sK2_X @ SY81 @ SV16 @ SV14 ) )
| ~ ~ ( p1 @ ( sK2_X @ SY81 @ SV16 @ SV14 ) ) ) )
| ! [SY82: $i] :
( ~ ( r1 @ SV16 @ SY82 )
| ( p1 @ SY82 ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(133,plain,
! [SV8: $i,SV10: $i,SV15: $i] :
( ( ( ~ ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) ) )
= $false )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( r1 @ SV10 @ SY75 )
| ~ ( ~ ( r1 @ SY75 @ ( sK4_Y @ SY75 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SY75 @ SV10 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(134,plain,
! [SV8: $i,SV10: $i,SV15: $i] :
( ( ( ~ ! [SY80: $i] :
( ~ ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SY80 )
| ( p1 @ SY80 ) ) )
= $false )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( r1 @ SV10 @ SY75 )
| ~ ( ~ ( r1 @ SY75 @ ( sK4_Y @ SY75 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SY75 @ SV10 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(135,plain,
! [SV11: $i,SV17: $i,SV13: $i] :
( ( ( ~ ( r1 @ SV13 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV17 @ ( sK3_Y @ SV17 @ SV13 ) )
| ~ ( p1 @ ( sK3_Y @ SV17 @ SV13 ) ) ) )
= $true )
| ( ( ~ ( p1 @ SV13 ) )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(136,plain,
! [SV12: $i,SV16: $i,SV14: $i] :
( ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( ! [SY81: $i] :
( ~ ( r1 @ SV16 @ SY81 )
| ~ ( ~ ( r1 @ SY81 @ ( sK2_X @ SY81 @ SV16 @ SV14 ) )
| ~ ~ ( p1 @ ( sK2_X @ SY81 @ SV16 @ SV14 ) ) ) )
| ! [SY82: $i] :
( ~ ( r1 @ SV16 @ SY82 )
| ( p1 @ SY82 ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(137,plain,
! [SV8: $i,SV10: $i,SV15: $i] :
( ( ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( r1 @ SV10 @ SY75 )
| ~ ( ~ ( r1 @ SY75 @ ( sK4_Y @ SY75 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SY75 @ SV10 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(138,plain,
! [SV8: $i,SV10: $i,SV15: $i] :
( ( ( ! [SY80: $i] :
( ~ ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SY80 )
| ( p1 @ SY80 ) ) )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( r1 @ SV10 @ SY75 )
| ~ ( ~ ( r1 @ SY75 @ ( sK4_Y @ SY75 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SY75 @ SV10 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(139,plain,
! [SV11: $i,SV17: $i,SV13: $i] :
( ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV17 @ ( sK3_Y @ SV17 @ SV13 ) )
| ~ ( p1 @ ( sK3_Y @ SV17 @ SV13 ) ) ) )
= $true )
| ( ( ~ ( p1 @ SV13 ) )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(140,plain,
! [SV12: $i,SV14: $i,SV16: $i] :
( ( ( ! [SY81: $i] :
( ~ ( r1 @ SV16 @ SY81 )
| ~ ( ~ ( r1 @ SY81 @ ( sK2_X @ SY81 @ SV16 @ SV14 ) )
| ~ ~ ( p1 @ ( sK2_X @ SY81 @ SV16 @ SV14 ) ) ) ) )
= $true )
| ( ( ! [SY82: $i] :
( ~ ( r1 @ SV16 @ SY82 )
| ( p1 @ SY82 ) ) )
= $true )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(141,plain,
! [SV8: $i,SV15: $i,SV18: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV18 )
| ~ ( ~ ( r1 @ SV18 @ ( sK4_Y @ SV18 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SV18 @ SV10 ) ) ) )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(142,plain,
! [SV8: $i,SV19: $i,SV10: $i,SV15: $i] :
( ( ( ~ ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SV19 )
| ( p1 @ SV19 ) )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( r1 @ SV10 @ SY75 )
| ~ ( ~ ( r1 @ SY75 @ ( sK4_Y @ SY75 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SY75 @ SV10 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(143,plain,
! [SV11: $i,SV13: $i,SV17: $i] :
( ( ( ~ ( r1 @ SV17 @ ( sK3_Y @ SV17 @ SV13 ) )
| ~ ( p1 @ ( sK3_Y @ SV17 @ SV13 ) ) )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( ~ ( p1 @ SV13 ) )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(144,plain,
! [SV12: $i,SV14: $i,SV20: $i,SV16: $i] :
( ( ( ~ ( r1 @ SV16 @ SV20 )
| ~ ( ~ ( r1 @ SV20 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) )
| ~ ~ ( p1 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) ) ) )
= $true )
| ( ( ! [SY82: $i] :
( ~ ( r1 @ SV16 @ SY82 )
| ( p1 @ SY82 ) ) )
= $true )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(145,plain,
! [SV8: $i,SV15: $i,SV18: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV18 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV18 @ ( sK4_Y @ SV18 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SV18 @ SV10 ) ) ) )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(146,plain,
! [SV8: $i,SV19: $i,SV10: $i,SV15: $i] :
( ( ( ~ ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SV19 ) )
= $true )
| ( ( p1 @ SV19 )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( r1 @ SV10 @ SY75 )
| ~ ( ~ ( r1 @ SY75 @ ( sK4_Y @ SY75 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SY75 @ SV10 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(147,plain,
! [SV11: $i,SV13: $i,SV17: $i] :
( ( ( ~ ( r1 @ SV17 @ ( sK3_Y @ SV17 @ SV13 ) ) )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( ~ ( p1 @ SV13 ) )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(148,plain,
! [SV11: $i,SV13: $i,SV17: $i] :
( ( ( ~ ( p1 @ ( sK3_Y @ SV17 @ SV13 ) ) )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( ~ ( p1 @ SV13 ) )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(149,plain,
! [SV12: $i,SV14: $i,SV20: $i,SV16: $i] :
( ( ( ~ ( r1 @ SV16 @ SV20 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV20 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) )
| ~ ~ ( p1 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) ) ) )
= $true )
| ( ( ! [SY82: $i] :
( ~ ( r1 @ SV16 @ SY82 )
| ( p1 @ SY82 ) ) )
= $true )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(150,plain,
! [SV8: $i,SV15: $i,SV18: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV18 @ ( sK4_Y @ SV18 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SV18 @ SV10 ) ) ) )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(151,plain,
! [SV8: $i,SV19: $i,SV10: $i,SV15: $i] :
( ( ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SV19 )
= $false )
| ( ( p1 @ SV19 )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( r1 @ SV10 @ SY75 )
| ~ ( ~ ( r1 @ SY75 @ ( sK4_Y @ SY75 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SY75 @ SV10 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(152,plain,
! [SV11: $i,SV13: $i,SV17: $i] :
( ( ( r1 @ SV17 @ ( sK3_Y @ SV17 @ SV13 ) )
= $true )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( ~ ( p1 @ SV13 ) )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(153,plain,
! [SV11: $i,SV13: $i,SV17: $i] :
( ( ( p1 @ ( sK3_Y @ SV17 @ SV13 ) )
= $true )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( ~ ( p1 @ SV13 ) )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(154,plain,
! [SV12: $i,SV14: $i,SV20: $i,SV16: $i] :
( ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV20 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) )
| ~ ~ ( p1 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) ) ) )
= $true )
| ( ( ! [SY82: $i] :
( ~ ( r1 @ SV16 @ SY82 )
| ( p1 @ SY82 ) ) )
= $true )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(155,plain,
! [SV8: $i,SV15: $i,SV10: $i,SV18: $i] :
( ( ( ~ ( r1 @ SV18 @ ( sK4_Y @ SV18 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SV18 @ SV10 ) ) )
= $false )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(156,plain,
! [SV8: $i,SV19: $i,SV15: $i,SV21: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV21 )
| ~ ( ~ ( r1 @ SV21 @ ( sK4_Y @ SV21 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SV21 @ SV10 ) ) ) )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( p1 @ SV19 )
= $true )
| ( ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SV19 )
= $false )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(157,plain,
! [SV11: $i,SV17: $i,SV13: $i] :
( ( ( p1 @ SV13 )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( r1 @ SV17 @ ( sK3_Y @ SV17 @ SV13 ) )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(158,plain,
! [SV11: $i,SV17: $i,SV13: $i] :
( ( ( p1 @ SV13 )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( p1 @ ( sK3_Y @ SV17 @ SV13 ) )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(159,plain,
! [SV12: $i,SV14: $i,SV16: $i,SV20: $i] :
( ( ( ~ ( r1 @ SV20 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) )
| ~ ~ ( p1 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) ) )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( ! [SY82: $i] :
( ~ ( r1 @ SV16 @ SY82 )
| ( p1 @ SY82 ) ) )
= $true )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(160,plain,
! [SV8: $i,SV15: $i,SV10: $i,SV18: $i] :
( ( ( ~ ( r1 @ SV18 @ ( sK4_Y @ SV18 @ SV10 ) ) )
= $false )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(161,plain,
! [SV8: $i,SV15: $i,SV10: $i,SV18: $i] :
( ( ( ~ ~ ( p1 @ ( sK4_Y @ SV18 @ SV10 ) ) )
= $false )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(162,plain,
! [SV8: $i,SV19: $i,SV15: $i,SV21: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV21 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV21 @ ( sK4_Y @ SV21 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SV21 @ SV10 ) ) ) )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( p1 @ SV19 )
= $true )
| ( ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SV19 )
= $false )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(163,plain,
! [SV17: $i,SV13: $i,SV11: $i,SV22: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV22 )
| ( p1 @ SV22 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false )
| ( ( r1 @ SV17 @ ( sK3_Y @ SV17 @ SV13 ) )
= $true )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( p1 @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(164,plain,
! [SV17: $i,SV13: $i,SV11: $i,SV23: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV23 )
| ( p1 @ SV23 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false )
| ( ( p1 @ ( sK3_Y @ SV17 @ SV13 ) )
= $true )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( p1 @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(165,plain,
! [SV12: $i,SV14: $i,SV16: $i,SV20: $i] :
( ( ( ~ ( r1 @ SV20 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) ) )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( ! [SY82: $i] :
( ~ ( r1 @ SV16 @ SY82 )
| ( p1 @ SY82 ) ) )
= $true )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(166,plain,
! [SV12: $i,SV14: $i,SV16: $i,SV20: $i] :
( ( ( ~ ~ ( p1 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) ) )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( ! [SY82: $i] :
( ~ ( r1 @ SV16 @ SY82 )
| ( p1 @ SY82 ) ) )
= $true )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(167,plain,
! [SV8: $i,SV15: $i,SV10: $i,SV18: $i] :
( ( ( r1 @ SV18 @ ( sK4_Y @ SV18 @ SV10 ) )
= $true )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(168,plain,
! [SV8: $i,SV15: $i,SV10: $i,SV18: $i] :
( ( ( ~ ( p1 @ ( sK4_Y @ SV18 @ SV10 ) ) )
= $true )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(169,plain,
! [SV8: $i,SV19: $i,SV15: $i,SV21: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV21 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV21 @ ( sK4_Y @ SV21 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SV21 @ SV10 ) ) ) )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( p1 @ SV19 )
= $true )
| ( ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SV19 )
= $false )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(170,plain,
! [SV17: $i,SV13: $i,SV11: $i,SV22: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV22 ) )
= $true )
| ( ( p1 @ SV22 )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false )
| ( ( r1 @ SV17 @ ( sK3_Y @ SV17 @ SV13 ) )
= $true )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( p1 @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(171,plain,
! [SV17: $i,SV13: $i,SV11: $i,SV23: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV23 ) )
= $true )
| ( ( p1 @ SV23 )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false )
| ( ( p1 @ ( sK3_Y @ SV17 @ SV13 ) )
= $true )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( p1 @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(172,plain,
! [SV12: $i,SV14: $i,SV16: $i,SV20: $i] :
( ( ( r1 @ SV20 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) )
= $true )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( ! [SY82: $i] :
( ~ ( r1 @ SV16 @ SY82 )
| ( p1 @ SY82 ) ) )
= $true )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(173,plain,
! [SV12: $i,SV14: $i,SV16: $i,SV20: $i] :
( ( ( ~ ( p1 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) ) )
= $true )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( ! [SY82: $i] :
( ~ ( r1 @ SV16 @ SY82 )
| ( p1 @ SY82 ) ) )
= $true )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(174,plain,
! [SV18: $i,SV15: $i,SV10: $i,SV8: $i,SV24: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV24 )
| ( p1 @ SV24 ) )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( r1 @ SV18 @ ( sK4_Y @ SV18 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(175,plain,
! [SV8: $i,SV15: $i,SV10: $i,SV18: $i] :
( ( ( p1 @ ( sK4_Y @ SV18 @ SV10 ) )
= $false )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(176,plain,
! [SV8: $i,SV19: $i,SV15: $i,SV10: $i,SV21: $i] :
( ( ( ~ ( r1 @ SV21 @ ( sK4_Y @ SV21 @ SV10 ) )
| ~ ~ ( p1 @ ( sK4_Y @ SV21 @ SV10 ) ) )
= $false )
| ( ( r1 @ SV10 @ SV21 )
= $false )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( p1 @ SV19 )
= $true )
| ( ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SV19 )
= $false )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(177,plain,
! [SV17: $i,SV13: $i,SV11: $i,SV22: $i] :
( ( ( r1 @ sK1_X @ SV22 )
= $false )
| ( ( p1 @ SV22 )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false )
| ( ( r1 @ SV17 @ ( sK3_Y @ SV17 @ SV13 ) )
= $true )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( p1 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(178,plain,
! [SV17: $i,SV13: $i,SV11: $i,SV23: $i] :
( ( ( r1 @ sK1_X @ SV23 )
= $false )
| ( ( p1 @ SV23 )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( p2 @ SV11 )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false )
| ( ( p1 @ ( sK3_Y @ SV17 @ SV13 ) )
= $true )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( p1 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(179,plain,
! [SV12: $i,SV14: $i,SV20: $i,SV25: $i,SV16: $i] :
( ( ( ~ ( r1 @ SV16 @ SV25 )
| ( p1 @ SV25 ) )
= $true )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( r1 @ SV20 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) )
= $true )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(180,plain,
! [SV12: $i,SV14: $i,SV16: $i,SV20: $i] :
( ( ( p1 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( ! [SY82: $i] :
( ~ ( r1 @ SV16 @ SY82 )
| ( p1 @ SY82 ) ) )
= $true )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(181,plain,
! [SV18: $i,SV15: $i,SV10: $i,SV8: $i,SV24: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV24 ) )
= $true )
| ( ( p1 @ SV24 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( r1 @ SV18 @ ( sK4_Y @ SV18 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(182,plain,
! [SV18: $i,SV15: $i,SV10: $i,SV8: $i,SV26: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV26 )
| ( p1 @ SV26 ) )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( p1 @ ( sK4_Y @ SV18 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(183,plain,
! [SV8: $i,SV19: $i,SV15: $i,SV10: $i,SV21: $i] :
( ( ( ~ ( r1 @ SV21 @ ( sK4_Y @ SV21 @ SV10 ) ) )
= $false )
| ( ( r1 @ SV10 @ SV21 )
= $false )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( p1 @ SV19 )
= $true )
| ( ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SV19 )
= $false )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(184,plain,
! [SV8: $i,SV19: $i,SV15: $i,SV10: $i,SV21: $i] :
( ( ( ~ ~ ( p1 @ ( sK4_Y @ SV21 @ SV10 ) ) )
= $false )
| ( ( r1 @ SV10 @ SV21 )
= $false )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( p1 @ SV19 )
= $true )
| ( ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SV19 )
= $false )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(185,plain,
! [SV12: $i,SV14: $i,SV20: $i,SV25: $i,SV16: $i] :
( ( ( ~ ( r1 @ SV16 @ SV25 ) )
= $true )
| ( ( p1 @ SV25 )
= $true )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( r1 @ SV20 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) )
= $true )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(186,plain,
! [SV12: $i,SV14: $i,SV20: $i,SV27: $i,SV16: $i] :
( ( ( ~ ( r1 @ SV16 @ SV27 )
| ( p1 @ SV27 ) )
= $true )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( p1 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) )
= $false )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(187,plain,
! [SV18: $i,SV15: $i,SV10: $i,SV8: $i,SV24: $i] :
( ( ( r1 @ sK1_X @ SV24 )
= $false )
| ( ( p1 @ SV24 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( r1 @ SV18 @ ( sK4_Y @ SV18 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(188,plain,
! [SV18: $i,SV15: $i,SV10: $i,SV8: $i,SV26: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV26 ) )
= $true )
| ( ( p1 @ SV26 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( p1 @ ( sK4_Y @ SV18 @ SV10 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(189,plain,
! [SV8: $i,SV19: $i,SV15: $i,SV10: $i,SV21: $i] :
( ( ( r1 @ SV21 @ ( sK4_Y @ SV21 @ SV10 ) )
= $true )
| ( ( r1 @ SV10 @ SV21 )
= $false )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( p1 @ SV19 )
= $true )
| ( ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SV19 )
= $false )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(190,plain,
! [SV8: $i,SV19: $i,SV15: $i,SV10: $i,SV21: $i] :
( ( ( ~ ( p1 @ ( sK4_Y @ SV21 @ SV10 ) ) )
= $true )
| ( ( r1 @ SV10 @ SV21 )
= $false )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( p1 @ SV19 )
= $true )
| ( ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SV19 )
= $false )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(191,plain,
! [SV12: $i,SV14: $i,SV20: $i,SV25: $i,SV16: $i] :
( ( ( r1 @ SV16 @ SV25 )
= $false )
| ( ( p1 @ SV25 )
= $true )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( r1 @ SV20 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) )
= $true )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(192,plain,
! [SV12: $i,SV14: $i,SV20: $i,SV27: $i,SV16: $i] :
( ( ( ~ ( r1 @ SV16 @ SV27 ) )
= $true )
| ( ( p1 @ SV27 )
= $true )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( p1 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) )
= $false )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(193,plain,
! [SV18: $i,SV15: $i,SV10: $i,SV8: $i,SV26: $i] :
( ( ( r1 @ sK1_X @ SV26 )
= $false )
| ( ( p1 @ SV26 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( r1 @ SV15 @ ( sK5_Y @ SV15 @ SV10 ) )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( p1 @ ( sK4_Y @ SV18 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(194,plain,
! [SV21: $i,SV19: $i,SV15: $i,SV10: $i,SV8: $i,SV28: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV28 )
| ( p1 @ SV28 ) )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SV19 )
= $false )
| ( ( p1 @ SV19 )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV10 @ SV21 )
= $false )
| ( ( r1 @ SV21 @ ( sK4_Y @ SV21 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(195,plain,
! [SV8: $i,SV19: $i,SV15: $i,SV10: $i,SV21: $i] :
( ( ( p1 @ ( sK4_Y @ SV21 @ SV10 ) )
= $false )
| ( ( r1 @ SV10 @ SV21 )
= $false )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( p1 @ SV19 )
= $true )
| ( ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SV19 )
= $false )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(196,plain,
! [SV25: $i,SV20: $i,SV16: $i,SV14: $i,SV12: $i,SV29: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV29 )
| ( p1 @ SV29 ) )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( r1 @ SV20 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) )
= $true )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( p1 @ SV25 )
= $true )
| ( ( r1 @ SV16 @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(197,plain,
! [SV12: $i,SV14: $i,SV20: $i,SV27: $i,SV16: $i] :
( ( ( r1 @ SV16 @ SV27 )
= $false )
| ( ( p1 @ SV27 )
= $true )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( p1 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) )
= $false )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(198,plain,
! [SV21: $i,SV19: $i,SV15: $i,SV10: $i,SV8: $i,SV28: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV28 ) )
= $true )
| ( ( p1 @ SV28 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SV19 )
= $false )
| ( ( p1 @ SV19 )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV10 @ SV21 )
= $false )
| ( ( r1 @ SV21 @ ( sK4_Y @ SV21 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(199,plain,
! [SV21: $i,SV19: $i,SV15: $i,SV10: $i,SV8: $i,SV30: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV30 )
| ( p1 @ SV30 ) )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SV19 )
= $false )
| ( ( p1 @ SV19 )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV10 @ SV21 )
= $false )
| ( ( p1 @ ( sK4_Y @ SV21 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(200,plain,
! [SV25: $i,SV20: $i,SV16: $i,SV14: $i,SV12: $i,SV29: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV29 ) )
= $true )
| ( ( p1 @ SV29 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( r1 @ SV20 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) )
= $true )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( p1 @ SV25 )
= $true )
| ( ( r1 @ SV16 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(201,plain,
! [SV27: $i,SV20: $i,SV16: $i,SV14: $i,SV12: $i,SV31: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV31 )
| ( p1 @ SV31 ) )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( p1 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( p1 @ SV27 )
= $true )
| ( ( r1 @ SV16 @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(202,plain,
! [SV21: $i,SV19: $i,SV15: $i,SV10: $i,SV8: $i,SV28: $i] :
( ( ( r1 @ sK1_X @ SV28 )
= $false )
| ( ( p1 @ SV28 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SV19 )
= $false )
| ( ( p1 @ SV19 )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV10 @ SV21 )
= $false )
| ( ( r1 @ SV21 @ ( sK4_Y @ SV21 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(203,plain,
! [SV21: $i,SV19: $i,SV15: $i,SV10: $i,SV8: $i,SV30: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV30 ) )
= $true )
| ( ( p1 @ SV30 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SV19 )
= $false )
| ( ( p1 @ SV19 )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV10 @ SV21 )
= $false )
| ( ( p1 @ ( sK4_Y @ SV21 @ SV10 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(204,plain,
! [SV25: $i,SV20: $i,SV16: $i,SV14: $i,SV12: $i,SV29: $i] :
( ( ( r1 @ sK1_X @ SV29 )
= $false )
| ( ( p1 @ SV29 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( r1 @ SV20 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) )
= $true )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( p1 @ SV25 )
= $true )
| ( ( r1 @ SV16 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(205,plain,
! [SV27: $i,SV20: $i,SV16: $i,SV14: $i,SV12: $i,SV31: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV31 ) )
= $true )
| ( ( p1 @ SV31 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( p1 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( p1 @ SV27 )
= $true )
| ( ( r1 @ SV16 @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(206,plain,
! [SV21: $i,SV19: $i,SV15: $i,SV10: $i,SV8: $i,SV30: $i] :
( ( ( r1 @ sK1_X @ SV30 )
= $false )
| ( ( p1 @ SV30 )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( p2 @ SV8 )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( r1 @ ( sK5_Y @ SV15 @ SV10 ) @ SV19 )
= $false )
| ( ( p1 @ SV19 )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV10 @ SV21 )
= $false )
| ( ( p1 @ ( sK4_Y @ SV21 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(207,plain,
! [SV27: $i,SV20: $i,SV16: $i,SV14: $i,SV12: $i,SV31: $i] :
( ( ( r1 @ sK1_X @ SV31 )
= $false )
| ( ( p1 @ SV31 )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( r1 @ sK1_X @ SV14 )
= $false )
| ( ( r1 @ SV14 @ SV16 )
= $false )
| ( ( p1 @ ( sK2_X @ SV20 @ SV16 @ SV14 ) )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( p1 @ SV27 )
= $true )
| ( ( r1 @ SV16 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(208,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[15,207,206,204,202,193,187,178,177,114,93,79,71,69,65,63,61,38,37,33]) ).
thf(209,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL672+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jul 5 01:13:44 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.42
% 0.21/0.42 No.of.Axioms: 2
% 0.21/0.42
% 0.21/0.42 Length.of.Defs: 0
% 0.21/0.42
% 0.21/0.42 Contains.Choice.Funs: false
% 0.21/0.43 .
% 0.21/0.48 (rf:0,axioms:2,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:4,loop_count:0,foatp_calls:0,translation:fof_full).............................
% 1.07/1.29
% 1.07/1.29 ********************************
% 1.07/1.29 * All subproblems solved! *
% 1.07/1.29 ********************************
% 1.07/1.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:208,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.07/1.33
% 1.07/1.33 %**** Beginning of derivation protocol ****
% 1.07/1.33 % SZS output start CNFRefutation
% See solution above
% 1.07/1.33
% 1.07/1.33 %**** End of derivation protocol ****
% 1.07/1.33 %**** no. of clauses in derivation: 209 ****
% 1.07/1.33 %**** clause counter: 208 ****
% 1.07/1.33
% 1.07/1.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:208,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------