TSTP Solution File: LCL668+1.001 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL668+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 : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:25:23 EDT 2022
% Result : Theorem 9.19s 9.41s
% Output : CNFRefutation 9.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 31
% Syntax : Number of formulae : 377 ( 106 unt; 29 typ; 0 def)
% Number of atoms : 7736 (1497 equ; 0 cnn)
% Maximal formula atoms : 84 ( 22 avg)
% Number of connectives : 17494 (4634 ~;4248 |; 146 &;8466 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 29 usr; 16 con; 0-4 aty)
% Number of variables : 2691 ( 0 ^2687 !; 4 ?;2691 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_p1,type,
p1: $i > $o ).
thf(tp_p10,type,
p10: $i > $o ).
thf(tp_p12,type,
p12: $i > $o ).
thf(tp_p2,type,
p2: $i > $o ).
thf(tp_p3,type,
p3: $i > $o ).
thf(tp_p4,type,
p4: $i > $o ).
thf(tp_p5,type,
p5: $i > $o ).
thf(tp_p6,type,
p6: $i > $o ).
thf(tp_p7,type,
p7: $i > $o ).
thf(tp_p8,type,
p8: $i > $o ).
thf(tp_r1,type,
r1: $i > $i > $o ).
thf(tp_sK10_SY118,type,
sK10_SY118: $i ).
thf(tp_sK11_SY121,type,
sK11_SY121: $i ).
thf(tp_sK12_SY123,type,
sK12_SY123: $i ).
thf(tp_sK13_SY49,type,
sK13_SY49: $i ).
thf(tp_sK14_SY124,type,
sK14_SY124: $i ).
thf(tp_sK15_SY129,type,
sK15_SY129: $i ).
thf(tp_sK16_SY133,type,
sK16_SY133: $i ).
thf(tp_sK17_SY136,type,
sK17_SY136: $i ).
thf(tp_sK18_SY138,type,
sK18_SY138: $i ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_Y,type,
sK2_Y: $i > $i > $i > $i > $i ).
thf(tp_sK3_X,type,
sK3_X: $i > $i > $i > $i ).
thf(tp_sK4_Y,type,
sK4_Y: $i > $i > $i ).
thf(tp_sK5_X,type,
sK5_X: $i > $i ).
thf(tp_sK6_SY61,type,
sK6_SY61: $i ).
thf(tp_sK7_SY55,type,
sK7_SY55: $i ).
thf(tp_sK8_SY109,type,
sK8_SY109: $i ).
thf(tp_sK9_SY114,type,
sK9_SY114: $i ).
thf(1,axiom,
! [X: $i] : ( r1 @ X @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
thf(2,conjecture,
~ ? [X: $i] :
~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ~ ( p12 @ X )
& ~ ( p10 @ X )
& ~ ( p8 @ X )
& ~ ( p6 @ X )
& ~ ( p4 @ X )
& ~ ( p2 @ X ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p7 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p5 @ X )
& ~ ( p1 @ X ) )
| ( ( p1 @ X )
& ( p5 @ X ) ) ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p6 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p4 @ X )
& ~ ( p5 @ X ) )
| ( ( p5 @ X )
& ( p4 @ X ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p5 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p3 @ X )
& ~ ( p4 @ X ) )
| ( ( p4 @ X )
& ( p3 @ X ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p2 @ X )
& ~ ( p3 @ X ) )
| ( ( p3 @ X )
& ( p2 @ X ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p1 @ X )
& ~ ( p2 @ X ) )
| ( ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ( p6 @ X )
& ( p5 @ X )
& ( p4 @ X )
& ( p3 @ X )
& ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
thf(3,negated_conjecture,
( ( ~ ? [X: $i] :
~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ~ ( p12 @ X )
& ~ ( p10 @ X )
& ~ ( p8 @ X )
& ~ ( p6 @ X )
& ~ ( p4 @ X )
& ~ ( p2 @ X ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p7 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p5 @ X )
& ~ ( p1 @ X ) )
| ( ( p1 @ X )
& ( p5 @ X ) ) ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p6 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p4 @ X )
& ~ ( p5 @ X ) )
| ( ( p5 @ X )
& ( p4 @ X ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p5 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p3 @ X )
& ~ ( p4 @ X ) )
| ( ( p4 @ X )
& ( p3 @ X ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p2 @ X )
& ~ ( p3 @ X ) )
| ( ( p3 @ X )
& ( p2 @ X ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p1 @ X )
& ~ ( p2 @ X ) )
| ( ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ( p6 @ X )
& ( p5 @ X )
& ( p4 @ X )
& ( p3 @ X )
& ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,plain,
( ( ~ ? [X: $i] :
~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ~ ( p12 @ X )
& ~ ( p10 @ X )
& ~ ( p8 @ X )
& ~ ( p6 @ X )
& ~ ( p4 @ X )
& ~ ( p2 @ X ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p7 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p5 @ X )
& ~ ( p1 @ X ) )
| ( ( p1 @ X )
& ( p5 @ X ) ) ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p6 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p4 @ X )
& ~ ( p5 @ X ) )
| ( ( p5 @ X )
& ( p4 @ X ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p5 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p3 @ X )
& ~ ( p4 @ X ) )
| ( ( p4 @ X )
& ( p3 @ X ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p2 @ X )
& ~ ( p3 @ X ) )
| ( ( p3 @ X )
& ( p2 @ X ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p1 @ X )
& ~ ( p2 @ X ) )
| ( ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ( p6 @ X )
& ( p5 @ X )
& ( p4 @ X )
& ( p3 @ X )
& ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [X: $i] : ( r1 @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(6,plain,
( ( ? [X: $i] :
~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ~ ( p12 @ X )
& ~ ( p10 @ X )
& ~ ( p8 @ X )
& ~ ( p6 @ X )
& ~ ( p4 @ X )
& ~ ( p2 @ X ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p7 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p5 @ X )
& ~ ( p1 @ X ) )
| ( ( p1 @ X )
& ( p5 @ X ) ) ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p6 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p4 @ X )
& ~ ( p5 @ X ) )
| ( ( p5 @ X )
& ( p4 @ X ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p5 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p3 @ X )
& ~ ( p4 @ X ) )
| ( ( p4 @ X )
& ( p3 @ X ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p2 @ X )
& ~ ( p3 @ X ) )
| ( ( p3 @ X )
& ( p2 @ X ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p1 @ X )
& ~ ( p2 @ X ) )
| ( ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ( p6 @ X )
& ( p5 @ X )
& ( p4 @ X )
& ( p3 @ X )
& ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ( r1 @ sK1_X @ sK13_SY49 )
& ( r1 @ sK13_SY49 @ sK14_SY124 )
& ( r1 @ sK14_SY124 @ sK15_SY129 )
& ( r1 @ sK15_SY129 @ sK16_SY133 )
& ( r1 @ sK16_SY133 @ sK17_SY136 )
& ( r1 @ sK17_SY136 @ sK18_SY138 )
& ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) )
& ( r1 @ sK1_X @ sK7_SY55 )
& ( r1 @ sK7_SY55 @ sK8_SY109 )
& ( r1 @ sK8_SY109 @ sK9_SY114 )
& ( r1 @ sK9_SY114 @ sK10_SY118 )
& ( r1 @ sK10_SY118 @ sK11_SY121 )
& ( r1 @ sK11_SY121 @ sK12_SY123 )
& ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) )
& ( r1 @ sK1_X @ sK6_SY61 )
& ~ ( p7 @ sK6_SY61 )
& ! [SY62: $i] :
( ~ ( r1 @ sK1_X @ SY62 )
| ! [X: $i] :
( ~ ( r1 @ SY62 @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p5 @ X )
| ( p1 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X )
| ~ ( p5 @ X ) ) ) ) ) ) ) ) ) )
& ! [SY71: $i] :
( ~ ( r1 @ sK1_X @ SY71 )
| ( ( r1 @ SY71 @ ( sK5_X @ SY71 ) )
& ~ ( p6 @ ( sK5_X @ SY71 ) ) ) )
& ! [SY73: $i] :
( ~ ( r1 @ sK1_X @ SY73 )
| ( ! [X: $i] :
( ~ ( r1 @ SY73 @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X )
| ( p5 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p4 @ X )
| ~ ( p5 @ X ) ) ) ) ) ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ SY73 @ X )
| ( ( r1 @ X @ ( sK4_Y @ X @ SY73 ) )
& ~ ( p5 @ ( sK4_Y @ X @ SY73 ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ SY73 @ X )
| ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X )
| ( p4 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p3 @ X )
| ~ ( p4 @ X ) ) ) ) ) ) ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK3_X @ Y @ X @ SY73 ) )
& ~ ( p4 @ ( sK3_X @ Y @ X @ SY73 ) ) ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p2 @ X )
| ( p3 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p2 @ X )
| ~ ( p3 @ X ) ) ) ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ( r1 @ X @ ( sK2_Y @ X @ Y @ X @ SY73 ) )
& ~ ( p3 @ ( sK2_Y @ X @ Y @ X @ SY73 ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X )
| ( p2 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X )
| ~ ( p2 @ X ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [X: $i] : ( r1 @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(9,plain,
( ( ( r1 @ sK1_X @ sK13_SY49 )
& ( r1 @ sK13_SY49 @ sK14_SY124 )
& ( r1 @ sK14_SY124 @ sK15_SY129 )
& ( r1 @ sK15_SY129 @ sK16_SY133 )
& ( r1 @ sK16_SY133 @ sK17_SY136 )
& ( r1 @ sK17_SY136 @ sK18_SY138 )
& ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) )
& ( r1 @ sK1_X @ sK7_SY55 )
& ( r1 @ sK7_SY55 @ sK8_SY109 )
& ( r1 @ sK8_SY109 @ sK9_SY114 )
& ( r1 @ sK9_SY114 @ sK10_SY118 )
& ( r1 @ sK10_SY118 @ sK11_SY121 )
& ( r1 @ sK11_SY121 @ sK12_SY123 )
& ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) )
& ( r1 @ sK1_X @ sK6_SY61 )
& ~ ( p7 @ sK6_SY61 )
& ! [SY62: $i] :
( ~ ( r1 @ sK1_X @ SY62 )
| ! [X: $i] :
( ~ ( r1 @ SY62 @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p5 @ X )
| ( p1 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X )
| ~ ( p5 @ X ) ) ) ) ) ) ) ) ) )
& ! [SY71: $i] :
( ~ ( r1 @ sK1_X @ SY71 )
| ( ( r1 @ SY71 @ ( sK5_X @ SY71 ) )
& ~ ( p6 @ ( sK5_X @ SY71 ) ) ) )
& ! [SY73: $i] :
( ~ ( r1 @ sK1_X @ SY73 )
| ( ! [X: $i] :
( ~ ( r1 @ SY73 @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X )
| ( p5 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p4 @ X )
| ~ ( p5 @ X ) ) ) ) ) ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ SY73 @ X )
| ( ( r1 @ X @ ( sK4_Y @ X @ SY73 ) )
& ~ ( p5 @ ( sK4_Y @ X @ SY73 ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ SY73 @ X )
| ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X )
| ( p4 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p3 @ X )
| ~ ( p4 @ X ) ) ) ) ) ) ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK3_X @ Y @ X @ SY73 ) )
& ~ ( p4 @ ( sK3_X @ Y @ X @ SY73 ) ) ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p2 @ X )
| ( p3 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p2 @ X )
| ~ ( p3 @ X ) ) ) ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ( r1 @ X @ ( sK2_Y @ X @ Y @ X @ SY73 ) )
& ~ ( p3 @ ( sK2_Y @ X @ Y @ X @ SY73 ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X )
| ( p2 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X )
| ~ ( p2 @ X ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(10,plain,
( ( ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK13_SY49 )
| ~ ~ ( ~ ( r1 @ sK13_SY49 @ sK14_SY124 )
| ~ ~ ( ~ ( r1 @ sK14_SY124 @ sK15_SY129 )
| ~ ~ ( ~ ( r1 @ sK15_SY129 @ sK16_SY133 )
| ~ ~ ( ~ ( r1 @ sK16_SY133 @ sK17_SY136 )
| ~ ~ ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY55 )
| ~ ~ ( ~ ( r1 @ sK7_SY55 @ sK8_SY109 )
| ~ ~ ( ~ ( r1 @ sK8_SY109 @ sK9_SY114 )
| ~ ~ ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK6_SY61 )
| ~ ~ ( p7 @ sK6_SY61 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p6 @ ( sK5_X @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ( r1 @ SX3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: $i] :
( ( r1 @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK13_SY49 )
| ~ ~ ( ~ ( r1 @ sK13_SY49 @ sK14_SY124 )
| ~ ~ ( ~ ( r1 @ sK14_SY124 @ sK15_SY129 )
| ~ ~ ( ~ ( r1 @ sK15_SY129 @ sK16_SY133 )
| ~ ~ ( ~ ( r1 @ sK16_SY133 @ sK17_SY136 )
| ~ ~ ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY55 )
| ~ ~ ( ~ ( r1 @ sK7_SY55 @ sK8_SY109 )
| ~ ~ ( ~ ( r1 @ sK8_SY109 @ sK9_SY114 )
| ~ ~ ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK6_SY61 )
| ~ ~ ( p7 @ sK6_SY61 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p6 @ ( sK5_X @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ( r1 @ SX3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK13_SY49 )
| ~ ~ ( ~ ( r1 @ sK13_SY49 @ sK14_SY124 )
| ~ ~ ( ~ ( r1 @ sK14_SY124 @ sK15_SY129 )
| ~ ~ ( ~ ( r1 @ sK15_SY129 @ sK16_SY133 )
| ~ ~ ( ~ ( r1 @ sK16_SY133 @ sK17_SY136 )
| ~ ~ ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY55 )
| ~ ~ ( ~ ( r1 @ sK7_SY55 @ sK8_SY109 )
| ~ ~ ( ~ ( r1 @ sK8_SY109 @ sK9_SY114 )
| ~ ~ ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK6_SY61 )
| ~ ~ ( p7 @ sK6_SY61 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p6 @ ( sK5_X @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ( r1 @ SX3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( ~ ( r1 @ sK1_X @ sK13_SY49 )
| ~ ~ ( ~ ( r1 @ sK13_SY49 @ sK14_SY124 )
| ~ ~ ( ~ ( r1 @ sK14_SY124 @ sK15_SY129 )
| ~ ~ ( ~ ( r1 @ sK15_SY129 @ sK16_SY133 )
| ~ ~ ( ~ ( r1 @ sK16_SY133 @ sK17_SY136 )
| ~ ~ ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY55 )
| ~ ~ ( ~ ( r1 @ sK7_SY55 @ sK8_SY109 )
| ~ ~ ( ~ ( r1 @ sK8_SY109 @ sK9_SY114 )
| ~ ~ ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK6_SY61 )
| ~ ~ ( p7 @ sK6_SY61 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p6 @ ( sK5_X @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ( r1 @ SX3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ( r1 @ sK1_X @ sK13_SY49 )
| ~ ~ ( ~ ( r1 @ sK13_SY49 @ sK14_SY124 )
| ~ ~ ( ~ ( r1 @ sK14_SY124 @ sK15_SY129 )
| ~ ~ ( ~ ( r1 @ sK15_SY129 @ sK16_SY133 )
| ~ ~ ( ~ ( r1 @ sK16_SY133 @ sK17_SY136 )
| ~ ~ ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY55 )
| ~ ~ ( ~ ( r1 @ sK7_SY55 @ sK8_SY109 )
| ~ ~ ( ~ ( r1 @ sK8_SY109 @ sK9_SY114 )
| ~ ~ ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK6_SY61 )
| ~ ~ ( p7 @ sK6_SY61 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p6 @ ( sK5_X @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ( r1 @ SX3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ( r1 @ sK1_X @ sK13_SY49 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ~ ( ~ ( r1 @ sK13_SY49 @ sK14_SY124 )
| ~ ~ ( ~ ( r1 @ sK14_SY124 @ sK15_SY129 )
| ~ ~ ( ~ ( r1 @ sK15_SY129 @ sK16_SY133 )
| ~ ~ ( ~ ( r1 @ sK16_SY133 @ sK17_SY136 )
| ~ ~ ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY55 )
| ~ ~ ( ~ ( r1 @ sK7_SY55 @ sK8_SY109 )
| ~ ~ ( ~ ( r1 @ sK8_SY109 @ sK9_SY114 )
| ~ ~ ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK6_SY61 )
| ~ ~ ( p7 @ sK6_SY61 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p6 @ ( sK5_X @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ( r1 @ SX3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(23,plain,
( ( r1 @ sK1_X @ sK13_SY49 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(24,plain,
( ( ~ ( ~ ( r1 @ sK13_SY49 @ sK14_SY124 )
| ~ ~ ( ~ ( r1 @ sK14_SY124 @ sK15_SY129 )
| ~ ~ ( ~ ( r1 @ sK15_SY129 @ sK16_SY133 )
| ~ ~ ( ~ ( r1 @ sK16_SY133 @ sK17_SY136 )
| ~ ~ ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY55 )
| ~ ~ ( ~ ( r1 @ sK7_SY55 @ sK8_SY109 )
| ~ ~ ( ~ ( r1 @ sK8_SY109 @ sK9_SY114 )
| ~ ~ ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK6_SY61 )
| ~ ~ ( p7 @ sK6_SY61 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p6 @ ( sK5_X @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ( r1 @ SX3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(27,plain,
( ( ~ ( r1 @ sK13_SY49 @ sK14_SY124 )
| ~ ~ ( ~ ( r1 @ sK14_SY124 @ sK15_SY129 )
| ~ ~ ( ~ ( r1 @ sK15_SY129 @ sK16_SY133 )
| ~ ~ ( ~ ( r1 @ sK16_SY133 @ sK17_SY136 )
| ~ ~ ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY55 )
| ~ ~ ( ~ ( r1 @ sK7_SY55 @ sK8_SY109 )
| ~ ~ ( ~ ( r1 @ sK8_SY109 @ sK9_SY114 )
| ~ ~ ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK6_SY61 )
| ~ ~ ( p7 @ sK6_SY61 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p6 @ ( sK5_X @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ( r1 @ SX3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(30,plain,
( ( ~ ( r1 @ sK13_SY49 @ sK14_SY124 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(31,plain,
( ( ~ ~ ( ~ ( r1 @ sK14_SY124 @ sK15_SY129 )
| ~ ~ ( ~ ( r1 @ sK15_SY129 @ sK16_SY133 )
| ~ ~ ( ~ ( r1 @ sK16_SY133 @ sK17_SY136 )
| ~ ~ ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(32,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY55 )
| ~ ~ ( ~ ( r1 @ sK7_SY55 @ sK8_SY109 )
| ~ ~ ( ~ ( r1 @ sK8_SY109 @ sK9_SY114 )
| ~ ~ ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(33,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK6_SY61 )
| ~ ~ ( p7 @ sK6_SY61 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p6 @ ( sK5_X @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(35,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ( r1 @ SX3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(36,plain,
( ( r1 @ sK13_SY49 @ sK14_SY124 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(37,plain,
( ( ~ ( ~ ( r1 @ sK14_SY124 @ sK15_SY129 )
| ~ ~ ( ~ ( r1 @ sK15_SY129 @ sK16_SY133 )
| ~ ~ ( ~ ( r1 @ sK16_SY133 @ sK17_SY136 )
| ~ ~ ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(38,plain,
( ( ~ ( ~ ( r1 @ sK1_X @ sK7_SY55 )
| ~ ~ ( ~ ( r1 @ sK7_SY55 @ sK8_SY109 )
| ~ ~ ( ~ ( r1 @ sK8_SY109 @ sK9_SY114 )
| ~ ~ ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(39,plain,
( ( ~ ( ~ ( r1 @ sK1_X @ sK6_SY61 )
| ~ ~ ( p7 @ sK6_SY61 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(40,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p6 @ ( sK5_X @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(41,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ( r1 @ SX3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX3 @ SX2 @ SX3 @ SX0 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(42,plain,
( ( ~ ( r1 @ sK14_SY124 @ sK15_SY129 )
| ~ ~ ( ~ ( r1 @ sK15_SY129 @ sK16_SY133 )
| ~ ~ ( ~ ( r1 @ sK16_SY133 @ sK17_SY136 )
| ~ ~ ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(43,plain,
( ( ~ ( r1 @ sK1_X @ sK7_SY55 )
| ~ ~ ( ~ ( r1 @ sK7_SY55 @ sK8_SY109 )
| ~ ~ ( ~ ( r1 @ sK8_SY109 @ sK9_SY114 )
| ~ ~ ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(44,plain,
( ( ~ ( r1 @ sK1_X @ sK6_SY61 )
| ~ ~ ( p7 @ sK6_SY61 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(45,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p6 @ ( sK5_X @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV2: $i] :
( ( ~ ( r1 @ sK1_X @ SV2 )
| ~ ( ~ ~ ( ~ ! [SY139: $i] :
( ~ ( r1 @ SV2 @ SY139 )
| ! [SX2: $i] :
( ~ ( r1 @ SY139 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
| ~ ! [SY147: $i] :
( ~ ( r1 @ SV2 @ SY147 )
| ~ ( ~ ( r1 @ SY147 @ ( sK4_Y @ SY147 @ SV2 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SY147 @ SV2 ) ) ) ) )
| ~ ! [SY148: $i] :
( ~ ( r1 @ SV2 @ SY148 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY148 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SY156: $i] :
( ~ ( r1 @ SY148 @ SY156 )
| ~ ( ~ ( r1 @ SY156 @ ( sK3_X @ SY156 @ SY148 @ SV2 ) )
| ~ ~ ( p4 @ ( sK3_X @ SY156 @ SY148 @ SV2 ) ) ) ) )
| ~ ! [SY157: $i] :
( ~ ( r1 @ SY148 @ SY157 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY157 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SY164: $i] :
( ~ ( r1 @ SY157 @ SY164 )
| ~ ( ~ ( r1 @ SY164 @ ( sK2_Y @ SY164 @ SY157 @ SY164 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY164 @ SY157 @ SY164 @ SV2 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY157 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(47,plain,
( ( ~ ( r1 @ sK14_SY124 @ sK15_SY129 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(48,plain,
( ( ~ ~ ( ~ ( r1 @ sK15_SY129 @ sK16_SY133 )
| ~ ~ ( ~ ( r1 @ sK16_SY133 @ sK17_SY136 )
| ~ ~ ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(49,plain,
( ( ~ ( r1 @ sK1_X @ sK7_SY55 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(50,plain,
( ( ~ ~ ( ~ ( r1 @ sK7_SY55 @ sK8_SY109 )
| ~ ~ ( ~ ( r1 @ sK8_SY109 @ sK9_SY114 )
| ~ ~ ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(51,plain,
( ( ~ ( r1 @ sK1_X @ sK6_SY61 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(52,plain,
( ( ~ ~ ( p7 @ sK6_SY61 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(53,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(54,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p6 @ ( sK5_X @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(55,plain,
! [SV2: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY139: $i] :
( ~ ( r1 @ SV2 @ SY139 )
| ! [SX2: $i] :
( ~ ( r1 @ SY139 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
| ~ ! [SY147: $i] :
( ~ ( r1 @ SV2 @ SY147 )
| ~ ( ~ ( r1 @ SY147 @ ( sK4_Y @ SY147 @ SV2 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SY147 @ SV2 ) ) ) ) )
| ~ ! [SY148: $i] :
( ~ ( r1 @ SV2 @ SY148 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY148 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SY156: $i] :
( ~ ( r1 @ SY148 @ SY156 )
| ~ ( ~ ( r1 @ SY156 @ ( sK3_X @ SY156 @ SY148 @ SV2 ) )
| ~ ~ ( p4 @ ( sK3_X @ SY156 @ SY148 @ SV2 ) ) ) ) )
| ~ ! [SY157: $i] :
( ~ ( r1 @ SY148 @ SY157 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY157 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SY164: $i] :
( ~ ( r1 @ SY157 @ SY164 )
| ~ ( ~ ( r1 @ SY164 @ ( sK2_Y @ SY164 @ SY157 @ SY164 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY164 @ SY157 @ SY164 @ SV2 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY157 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(56,plain,
( ( r1 @ sK14_SY124 @ sK15_SY129 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(57,plain,
( ( ~ ( ~ ( r1 @ sK15_SY129 @ sK16_SY133 )
| ~ ~ ( ~ ( r1 @ sK16_SY133 @ sK17_SY136 )
| ~ ~ ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(58,plain,
( ( r1 @ sK1_X @ sK7_SY55 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(59,plain,
( ( ~ ( ~ ( r1 @ sK7_SY55 @ sK8_SY109 )
| ~ ~ ( ~ ( r1 @ sK8_SY109 @ sK9_SY114 )
| ~ ~ ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(60,plain,
( ( r1 @ sK1_X @ sK6_SY61 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(61,plain,
( ( ~ ( p7 @ sK6_SY61 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(62,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(63,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p6 @ ( sK5_X @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(64,plain,
! [SV2: $i] :
( ( ( r1 @ sK1_X @ SV2 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY139: $i] :
( ~ ( r1 @ SV2 @ SY139 )
| ! [SX2: $i] :
( ~ ( r1 @ SY139 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
| ~ ! [SY147: $i] :
( ~ ( r1 @ SV2 @ SY147 )
| ~ ( ~ ( r1 @ SY147 @ ( sK4_Y @ SY147 @ SV2 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SY147 @ SV2 ) ) ) ) )
| ~ ! [SY148: $i] :
( ~ ( r1 @ SV2 @ SY148 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY148 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SY156: $i] :
( ~ ( r1 @ SY148 @ SY156 )
| ~ ( ~ ( r1 @ SY156 @ ( sK3_X @ SY156 @ SY148 @ SV2 ) )
| ~ ~ ( p4 @ ( sK3_X @ SY156 @ SY148 @ SV2 ) ) ) ) )
| ~ ! [SY157: $i] :
( ~ ( r1 @ SY148 @ SY157 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY157 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SY164: $i] :
( ~ ( r1 @ SY157 @ SY164 )
| ~ ( ~ ( r1 @ SY164 @ ( sK2_Y @ SY164 @ SY157 @ SY164 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY164 @ SY157 @ SY164 @ SV2 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY157 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(65,plain,
( ( ~ ( r1 @ sK15_SY129 @ sK16_SY133 )
| ~ ~ ( ~ ( r1 @ sK16_SY133 @ sK17_SY136 )
| ~ ~ ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(66,plain,
( ( ~ ( r1 @ sK7_SY55 @ sK8_SY109 )
| ~ ~ ( ~ ( r1 @ sK8_SY109 @ sK9_SY114 )
| ~ ~ ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(67,plain,
( ( p7 @ sK6_SY61 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(68,plain,
! [SV3: $i] :
( ( ~ ( r1 @ sK1_X @ SV3 )
| ! [SY171: $i] :
( ~ ( r1 @ SV3 @ SY171 )
| ! [SX2: $i] :
( ~ ( r1 @ SY171 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(69,plain,
! [SV4: $i] :
( ( ~ ( r1 @ sK1_X @ SV4 )
| ~ ( ~ ( r1 @ SV4 @ ( sK5_X @ SV4 ) )
| ~ ~ ( p6 @ ( sK5_X @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(70,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY139: $i] :
( ~ ( r1 @ SV2 @ SY139 )
| ! [SX2: $i] :
( ~ ( r1 @ SY139 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
| ~ ! [SY147: $i] :
( ~ ( r1 @ SV2 @ SY147 )
| ~ ( ~ ( r1 @ SY147 @ ( sK4_Y @ SY147 @ SV2 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SY147 @ SV2 ) ) ) ) )
| ~ ! [SY148: $i] :
( ~ ( r1 @ SV2 @ SY148 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY148 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SY156: $i] :
( ~ ( r1 @ SY148 @ SY156 )
| ~ ( ~ ( r1 @ SY156 @ ( sK3_X @ SY156 @ SY148 @ SV2 ) )
| ~ ~ ( p4 @ ( sK3_X @ SY156 @ SY148 @ SV2 ) ) ) ) )
| ~ ! [SY157: $i] :
( ~ ( r1 @ SY148 @ SY157 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY157 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SY164: $i] :
( ~ ( r1 @ SY157 @ SY164 )
| ~ ( ~ ( r1 @ SY164 @ ( sK2_Y @ SY164 @ SY157 @ SY164 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY164 @ SY157 @ SY164 @ SV2 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY157 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(71,plain,
( ( ~ ( r1 @ sK15_SY129 @ sK16_SY133 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(72,plain,
( ( ~ ~ ( ~ ( r1 @ sK16_SY133 @ sK17_SY136 )
| ~ ~ ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(73,plain,
( ( ~ ( r1 @ sK7_SY55 @ sK8_SY109 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(74,plain,
( ( ~ ~ ( ~ ( r1 @ sK8_SY109 @ sK9_SY114 )
| ~ ~ ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(75,plain,
! [SV3: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV3 ) )
= $true )
| ( ( ! [SY171: $i] :
( ~ ( r1 @ SV3 @ SY171 )
| ! [SX2: $i] :
( ~ ( r1 @ SY171 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(76,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV4 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV4 @ ( sK5_X @ SV4 ) )
| ~ ~ ( p6 @ ( sK5_X @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(77,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY139: $i] :
( ~ ( r1 @ SV2 @ SY139 )
| ! [SX2: $i] :
( ~ ( r1 @ SY139 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
| ~ ! [SY147: $i] :
( ~ ( r1 @ SV2 @ SY147 )
| ~ ( ~ ( r1 @ SY147 @ ( sK4_Y @ SY147 @ SV2 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SY147 @ SV2 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(78,plain,
! [SV2: $i] :
( ( ( ~ ! [SY148: $i] :
( ~ ( r1 @ SV2 @ SY148 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY148 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SY156: $i] :
( ~ ( r1 @ SY148 @ SY156 )
| ~ ( ~ ( r1 @ SY156 @ ( sK3_X @ SY156 @ SY148 @ SV2 ) )
| ~ ~ ( p4 @ ( sK3_X @ SY156 @ SY148 @ SV2 ) ) ) ) )
| ~ ! [SY157: $i] :
( ~ ( r1 @ SY148 @ SY157 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY157 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SY164: $i] :
( ~ ( r1 @ SY157 @ SY164 )
| ~ ( ~ ( r1 @ SY164 @ ( sK2_Y @ SY164 @ SY157 @ SY164 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY164 @ SY157 @ SY164 @ SV2 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY157 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(79,plain,
( ( r1 @ sK15_SY129 @ sK16_SY133 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(80,plain,
( ( ~ ( ~ ( r1 @ sK16_SY133 @ sK17_SY136 )
| ~ ~ ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(81,plain,
( ( r1 @ sK7_SY55 @ sK8_SY109 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(82,plain,
( ( ~ ( ~ ( r1 @ sK8_SY109 @ sK9_SY114 )
| ~ ~ ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(83,plain,
! [SV3: $i] :
( ( ( r1 @ sK1_X @ SV3 )
= $false )
| ( ( ! [SY171: $i] :
( ~ ( r1 @ SV3 @ SY171 )
| ! [SX2: $i] :
( ~ ( r1 @ SY171 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(84,plain,
! [SV4: $i] :
( ( ( r1 @ sK1_X @ SV4 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV4 @ ( sK5_X @ SV4 ) )
| ~ ~ ( p6 @ ( sK5_X @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(85,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ! [SY139: $i] :
( ~ ( r1 @ SV2 @ SY139 )
| ! [SX2: $i] :
( ~ ( r1 @ SY139 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
| ~ ! [SY147: $i] :
( ~ ( r1 @ SV2 @ SY147 )
| ~ ( ~ ( r1 @ SY147 @ ( sK4_Y @ SY147 @ SV2 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SY147 @ SV2 ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(86,plain,
! [SV2: $i] :
( ( ( ! [SY148: $i] :
( ~ ( r1 @ SV2 @ SY148 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY148 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SY156: $i] :
( ~ ( r1 @ SY148 @ SY156 )
| ~ ( ~ ( r1 @ SY156 @ ( sK3_X @ SY156 @ SY148 @ SV2 ) )
| ~ ~ ( p4 @ ( sK3_X @ SY156 @ SY148 @ SV2 ) ) ) ) )
| ~ ! [SY157: $i] :
( ~ ( r1 @ SY148 @ SY157 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY157 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SY164: $i] :
( ~ ( r1 @ SY157 @ SY164 )
| ~ ( ~ ( r1 @ SY164 @ ( sK2_Y @ SY164 @ SY157 @ SY164 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY164 @ SY157 @ SY164 @ SV2 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY157 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(87,plain,
( ( ~ ( r1 @ sK16_SY133 @ sK17_SY136 )
| ~ ~ ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(88,plain,
( ( ~ ( r1 @ sK8_SY109 @ sK9_SY114 )
| ~ ~ ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(89,plain,
! [SV5: $i,SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ SV5 )
| ! [SY179: $i] :
( ~ ( r1 @ SV5 @ SY179 )
| ! [SX3: $i] :
( ~ ( r1 @ SY179 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(90,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK5_X @ SV4 ) )
| ~ ~ ( p6 @ ( sK5_X @ SV4 ) ) )
= $false )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(91,plain,
! [SV2: $i] :
( ( ( ~ ! [SY139: $i] :
( ~ ( r1 @ SV2 @ SY139 )
| ! [SX2: $i] :
( ~ ( r1 @ SY139 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
| ~ ! [SY147: $i] :
( ~ ( r1 @ SV2 @ SY147 )
| ~ ( ~ ( r1 @ SY147 @ ( sK4_Y @ SY147 @ SV2 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SY147 @ SV2 ) ) ) ) )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(92,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV6 )
| ~ ( ~ ~ ( ~ ! [SY186: $i] :
( ~ ( r1 @ SV6 @ SY186 )
| ! [SX3: $i] :
( ~ ( r1 @ SY186 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SY193: $i] :
( ~ ( r1 @ SV6 @ SY193 )
| ~ ( ~ ( r1 @ SY193 @ ( sK3_X @ SY193 @ SV6 @ SV2 ) )
| ~ ~ ( p4 @ ( sK3_X @ SY193 @ SV6 @ SV2 ) ) ) ) )
| ~ ! [SY194: $i] :
( ~ ( r1 @ SV6 @ SY194 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY194 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SY164: $i] :
( ~ ( r1 @ SY194 @ SY164 )
| ~ ( ~ ( r1 @ SY164 @ ( sK2_Y @ SY164 @ SY194 @ SY164 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY164 @ SY194 @ SY164 @ SV2 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY194 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(93,plain,
( ( ~ ( r1 @ sK16_SY133 @ sK17_SY136 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(94,plain,
( ( ~ ~ ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(95,plain,
( ( ~ ( r1 @ sK8_SY109 @ sK9_SY114 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(96,plain,
( ( ~ ~ ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(97,plain,
! [SV5: $i,SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ SV5 ) )
= $true )
| ( ( ! [SY179: $i] :
( ~ ( r1 @ SV5 @ SY179 )
| ! [SX3: $i] :
( ~ ( r1 @ SY179 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(98,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK5_X @ SV4 ) ) )
= $false )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(99,plain,
! [SV4: $i] :
( ( ( ~ ~ ( p6 @ ( sK5_X @ SV4 ) ) )
= $false )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(100,plain,
! [SV2: $i] :
( ( ( ~ ! [SY139: $i] :
( ~ ( r1 @ SV2 @ SY139 )
| ! [SX2: $i] :
( ~ ( r1 @ SY139 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(101,plain,
! [SV2: $i] :
( ( ( ~ ! [SY147: $i] :
( ~ ( r1 @ SV2 @ SY147 )
| ~ ( ~ ( r1 @ SY147 @ ( sK4_Y @ SY147 @ SV2 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SY147 @ SV2 ) ) ) ) )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(102,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV6 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY186: $i] :
( ~ ( r1 @ SV6 @ SY186 )
| ! [SX3: $i] :
( ~ ( r1 @ SY186 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SY193: $i] :
( ~ ( r1 @ SV6 @ SY193 )
| ~ ( ~ ( r1 @ SY193 @ ( sK3_X @ SY193 @ SV6 @ SV2 ) )
| ~ ~ ( p4 @ ( sK3_X @ SY193 @ SV6 @ SV2 ) ) ) ) )
| ~ ! [SY194: $i] :
( ~ ( r1 @ SV6 @ SY194 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY194 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SY164: $i] :
( ~ ( r1 @ SY194 @ SY164 )
| ~ ( ~ ( r1 @ SY164 @ ( sK2_Y @ SY164 @ SY194 @ SY164 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY164 @ SY194 @ SY164 @ SV2 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY194 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(103,plain,
( ( r1 @ sK16_SY133 @ sK17_SY136 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(104,plain,
( ( ~ ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(105,plain,
( ( r1 @ sK8_SY109 @ sK9_SY114 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(106,plain,
( ( ~ ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(107,plain,
! [SV5: $i,SV3: $i] :
( ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( ! [SY179: $i] :
( ~ ( r1 @ SV5 @ SY179 )
| ! [SX3: $i] :
( ~ ( r1 @ SY179 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(108,plain,
! [SV4: $i] :
( ( ( r1 @ SV4 @ ( sK5_X @ SV4 ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(109,plain,
! [SV4: $i] :
( ( ( ~ ( p6 @ ( sK5_X @ SV4 ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(110,plain,
! [SV2: $i] :
( ( ( ! [SY139: $i] :
( ~ ( r1 @ SV2 @ SY139 )
| ! [SX2: $i] :
( ~ ( r1 @ SY139 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(111,plain,
! [SV2: $i] :
( ( ( ! [SY147: $i] :
( ~ ( r1 @ SV2 @ SY147 )
| ~ ( ~ ( r1 @ SY147 @ ( sK4_Y @ SY147 @ SV2 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SY147 @ SV2 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(112,plain,
! [SV6: $i,SV2: $i] :
( ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY186: $i] :
( ~ ( r1 @ SV6 @ SY186 )
| ! [SX3: $i] :
( ~ ( r1 @ SY186 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SY193: $i] :
( ~ ( r1 @ SV6 @ SY193 )
| ~ ( ~ ( r1 @ SY193 @ ( sK3_X @ SY193 @ SV6 @ SV2 ) )
| ~ ~ ( p4 @ ( sK3_X @ SY193 @ SV6 @ SV2 ) ) ) ) )
| ~ ! [SY194: $i] :
( ~ ( r1 @ SV6 @ SY194 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY194 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SY164: $i] :
( ~ ( r1 @ SY194 @ SY164 )
| ~ ( ~ ( r1 @ SY164 @ ( sK2_Y @ SY164 @ SY194 @ SY164 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY164 @ SY194 @ SY164 @ SV2 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY194 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(113,plain,
( ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 )
| ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(114,plain,
( ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 )
| ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(115,plain,
! [SV3: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV7 )
| ! [SY208: $i] :
( ~ ( r1 @ SV7 @ SY208 )
| ! [SX4: $i] :
( ~ ( r1 @ SY208 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(116,plain,
! [SV4: $i] :
( ( ( p6 @ ( sK5_X @ SV4 ) )
= $false )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(117,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV8 )
| ! [SY214: $i] :
( ~ ( r1 @ SV8 @ SY214 )
| ! [SX3: $i] :
( ~ ( r1 @ SY214 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(118,plain,
! [SV9: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV9 )
| ~ ( ~ ( r1 @ SV9 @ ( sK4_Y @ SV9 @ SV2 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SV9 @ SV2 ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(119,plain,
! [SV2: $i,SV6: $i] :
( ( ( ~ ~ ( ~ ! [SY186: $i] :
( ~ ( r1 @ SV6 @ SY186 )
| ! [SX3: $i] :
( ~ ( r1 @ SY186 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SY193: $i] :
( ~ ( r1 @ SV6 @ SY193 )
| ~ ( ~ ( r1 @ SY193 @ ( sK3_X @ SY193 @ SV6 @ SV2 ) )
| ~ ~ ( p4 @ ( sK3_X @ SY193 @ SV6 @ SV2 ) ) ) ) )
| ~ ! [SY194: $i] :
( ~ ( r1 @ SV6 @ SY194 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY194 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SY164: $i] :
( ~ ( r1 @ SY194 @ SY164 )
| ~ ( ~ ( r1 @ SY164 @ ( sK2_Y @ SY164 @ SY194 @ SY164 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY164 @ SY194 @ SY164 @ SV2 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY194 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(120,plain,
( ( ~ ( r1 @ sK17_SY136 @ sK18_SY138 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(121,plain,
( ( ~ ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(122,plain,
( ( ~ ( r1 @ sK9_SY114 @ sK10_SY118 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(123,plain,
( ( ~ ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(124,plain,
! [SV3: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV7 ) )
= $true )
| ( ( ! [SY208: $i] :
( ~ ( r1 @ SV7 @ SY208 )
| ! [SX4: $i] :
( ~ ( r1 @ SY208 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(125,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV8 ) )
= $true )
| ( ( ! [SY214: $i] :
( ~ ( r1 @ SV8 @ SY214 )
| ! [SX3: $i] :
( ~ ( r1 @ SY214 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(126,plain,
! [SV9: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV9 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV9 @ ( sK4_Y @ SV9 @ SV2 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SV9 @ SV2 ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(127,plain,
! [SV2: $i,SV6: $i] :
( ( ( ~ ~ ( ~ ! [SY186: $i] :
( ~ ( r1 @ SV6 @ SY186 )
| ! [SX3: $i] :
( ~ ( r1 @ SY186 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SY193: $i] :
( ~ ( r1 @ SV6 @ SY193 )
| ~ ( ~ ( r1 @ SY193 @ ( sK3_X @ SY193 @ SV6 @ SV2 ) )
| ~ ~ ( p4 @ ( sK3_X @ SY193 @ SV6 @ SV2 ) ) ) ) ) )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(128,plain,
! [SV2: $i,SV6: $i] :
( ( ( ~ ! [SY194: $i] :
( ~ ( r1 @ SV6 @ SY194 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY194 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SY164: $i] :
( ~ ( r1 @ SY194 @ SY164 )
| ~ ( ~ ( r1 @ SY164 @ ( sK2_Y @ SY164 @ SY194 @ SY164 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY164 @ SY194 @ SY164 @ SV2 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY194 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(129,plain,
( ( r1 @ sK17_SY136 @ sK18_SY138 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(130,plain,
( ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 )
| ~ ( p1 @ sK18_SY138 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(131,plain,
( ( r1 @ sK9_SY114 @ sK10_SY118 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(132,plain,
( ( ~ ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(133,plain,
! [SV3: $i,SV7: $i,SV5: $i] :
( ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( ! [SY208: $i] :
( ~ ( r1 @ SV7 @ SY208 )
| ! [SX4: $i] :
( ~ ( r1 @ SY208 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(134,plain,
! [SV8: $i,SV2: $i] :
( ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( ! [SY214: $i] :
( ~ ( r1 @ SV8 @ SY214 )
| ! [SX3: $i] :
( ~ ( r1 @ SY214 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(135,plain,
! [SV9: $i,SV2: $i] :
( ( ( r1 @ SV2 @ SV9 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV9 @ ( sK4_Y @ SV9 @ SV2 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SV9 @ SV2 ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(136,plain,
! [SV2: $i,SV6: $i] :
( ( ( ~ ( ~ ! [SY186: $i] :
( ~ ( r1 @ SV6 @ SY186 )
| ! [SX3: $i] :
( ~ ( r1 @ SY186 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SY193: $i] :
( ~ ( r1 @ SV6 @ SY193 )
| ~ ( ~ ( r1 @ SY193 @ ( sK3_X @ SY193 @ SV6 @ SV2 ) )
| ~ ~ ( p4 @ ( sK3_X @ SY193 @ SV6 @ SV2 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(137,plain,
! [SV2: $i,SV6: $i] :
( ( ( ! [SY194: $i] :
( ~ ( r1 @ SV6 @ SY194 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY194 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SY164: $i] :
( ~ ( r1 @ SY194 @ SY164 )
| ~ ( ~ ( r1 @ SY164 @ ( sK2_Y @ SY164 @ SY194 @ SY164 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY164 @ SY194 @ SY164 @ SV2 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY194 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(138,plain,
( ( ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 )
| ~ ( p2 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p1 @ sK18_SY138 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(139,plain,
( ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 )
| ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(140,plain,
! [SV3: $i,SV5: $i,SV10: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ SV10 )
| ! [SY221: $i] :
( ~ ( r1 @ SV10 @ SY221 )
| ! [SX5: $i] :
( ~ ( r1 @ SY221 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(141,plain,
! [SV2: $i,SV11: $i,SV8: $i] :
( ( ( ~ ( r1 @ SV8 @ SV11 )
| ! [SY226: $i] :
( ~ ( r1 @ SV11 @ SY226 )
| ! [SX4: $i] :
( ~ ( r1 @ SY226 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(142,plain,
! [SV2: $i,SV9: $i] :
( ( ( ~ ( r1 @ SV9 @ ( sK4_Y @ SV9 @ SV2 ) )
| ~ ~ ( p5 @ ( sK4_Y @ SV9 @ SV2 ) ) )
= $false )
| ( ( r1 @ SV2 @ SV9 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(143,plain,
! [SV2: $i,SV6: $i] :
( ( ( ~ ! [SY186: $i] :
( ~ ( r1 @ SV6 @ SY186 )
| ! [SX3: $i] :
( ~ ( r1 @ SY186 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
| ~ ! [SY193: $i] :
( ~ ( r1 @ SV6 @ SY193 )
| ~ ( ~ ( r1 @ SY193 @ ( sK3_X @ SY193 @ SV6 @ SV2 ) )
| ~ ~ ( p4 @ ( sK3_X @ SY193 @ SV6 @ SV2 ) ) ) ) )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(144,plain,
! [SV2: $i,SV12: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV12 )
| ~ ( ~ ~ ( ~ ! [SY232: $i] :
( ~ ( r1 @ SV12 @ SY232 )
| ! [SX4: $i] :
( ~ ( r1 @ SY232 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV12 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_Y @ SY238 @ SV12 @ SY238 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY238 @ SV12 @ SY238 @ SV2 ) ) ) ) )
| ~ ! [SY239: $i] :
( ~ ( r1 @ SV12 @ SY239 )
| ! [SX4: $i] :
( ~ ( r1 @ SY239 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(145,plain,
( ( ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 )
| ~ ( p3 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p2 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p1 @ sK18_SY138 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(146,plain,
( ( ~ ( r1 @ sK10_SY118 @ sK11_SY121 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(147,plain,
( ( ~ ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(148,plain,
! [SV3: $i,SV5: $i,SV10: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ SV10 ) )
= $true )
| ( ( ! [SY221: $i] :
( ~ ( r1 @ SV10 @ SY221 )
| ! [SX5: $i] :
( ~ ( r1 @ SY221 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(149,plain,
! [SV2: $i,SV11: $i,SV8: $i] :
( ( ( ~ ( r1 @ SV8 @ SV11 ) )
= $true )
| ( ( ! [SY226: $i] :
( ~ ( r1 @ SV11 @ SY226 )
| ! [SX4: $i] :
( ~ ( r1 @ SY226 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(150,plain,
! [SV2: $i,SV9: $i] :
( ( ( ~ ( r1 @ SV9 @ ( sK4_Y @ SV9 @ SV2 ) ) )
= $false )
| ( ( r1 @ SV2 @ SV9 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(151,plain,
! [SV2: $i,SV9: $i] :
( ( ( ~ ~ ( p5 @ ( sK4_Y @ SV9 @ SV2 ) ) )
= $false )
| ( ( r1 @ SV2 @ SV9 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(152,plain,
! [SV2: $i,SV6: $i] :
( ( ( ~ ! [SY186: $i] :
( ~ ( r1 @ SV6 @ SY186 )
| ! [SX3: $i] :
( ~ ( r1 @ SY186 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(153,plain,
! [SV2: $i,SV6: $i] :
( ( ( ~ ! [SY193: $i] :
( ~ ( r1 @ SV6 @ SY193 )
| ~ ( ~ ( r1 @ SY193 @ ( sK3_X @ SY193 @ SV6 @ SV2 ) )
| ~ ~ ( p4 @ ( sK3_X @ SY193 @ SV6 @ SV2 ) ) ) ) )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(154,plain,
! [SV2: $i,SV12: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV12 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY232: $i] :
( ~ ( r1 @ SV12 @ SY232 )
| ! [SX4: $i] :
( ~ ( r1 @ SY232 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV12 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_Y @ SY238 @ SV12 @ SY238 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY238 @ SV12 @ SY238 @ SV2 ) ) ) ) )
| ~ ! [SY239: $i] :
( ~ ( r1 @ SV12 @ SY239 )
| ! [SX4: $i] :
( ~ ( r1 @ SY239 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(155,plain,
( ( ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 )
| ~ ( p4 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p3 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p2 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p1 @ sK18_SY138 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(156,plain,
( ( r1 @ sK10_SY118 @ sK11_SY121 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(157,plain,
( ( ~ ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(158,plain,
! [SV3: $i,SV5: $i,SV10: $i,SV7: $i] :
( ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( ! [SY221: $i] :
( ~ ( r1 @ SV10 @ SY221 )
| ! [SX5: $i] :
( ~ ( r1 @ SY221 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(159,plain,
! [SV2: $i,SV11: $i,SV8: $i] :
( ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( ! [SY226: $i] :
( ~ ( r1 @ SV11 @ SY226 )
| ! [SX4: $i] :
( ~ ( r1 @ SY226 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(160,plain,
! [SV2: $i,SV9: $i] :
( ( ( r1 @ SV9 @ ( sK4_Y @ SV9 @ SV2 ) )
= $true )
| ( ( r1 @ SV2 @ SV9 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(161,plain,
! [SV2: $i,SV9: $i] :
( ( ( ~ ( p5 @ ( sK4_Y @ SV9 @ SV2 ) ) )
= $true )
| ( ( r1 @ SV2 @ SV9 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(162,plain,
! [SV2: $i,SV6: $i] :
( ( ( ! [SY186: $i] :
( ~ ( r1 @ SV6 @ SY186 )
| ! [SX3: $i] :
( ~ ( r1 @ SY186 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(163,plain,
! [SV2: $i,SV6: $i] :
( ( ( ! [SY193: $i] :
( ~ ( r1 @ SV6 @ SY193 )
| ~ ( ~ ( r1 @ SY193 @ ( sK3_X @ SY193 @ SV6 @ SV2 ) )
| ~ ~ ( p4 @ ( sK3_X @ SY193 @ SV6 @ SV2 ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(164,plain,
! [SV2: $i,SV12: $i,SV6: $i] :
( ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY232: $i] :
( ~ ( r1 @ SV12 @ SY232 )
| ! [SX4: $i] :
( ~ ( r1 @ SY232 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV12 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_Y @ SY238 @ SV12 @ SY238 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY238 @ SV12 @ SY238 @ SV2 ) ) ) ) )
| ~ ! [SY239: $i] :
( ~ ( r1 @ SV12 @ SY239 )
| ! [SX4: $i] :
( ~ ( r1 @ SY239 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(165,plain,
( ( ( ~ ( p5 @ sK18_SY138 )
| ~ ( p6 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p4 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p3 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p2 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p1 @ sK18_SY138 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(166,plain,
( ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 )
| ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(167,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV13: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV13 )
| ! [SY245: $i] :
( ~ ( r1 @ SV13 @ SY245 )
| ! [SX6: $i] :
( ~ ( r1 @ SY245 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(168,plain,
! [SV2: $i,SV8: $i,SV14: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV14 )
| ! [SY249: $i] :
( ~ ( r1 @ SV14 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(169,plain,
! [SV2: $i,SV9: $i] :
( ( ( p5 @ ( sK4_Y @ SV9 @ SV2 ) )
= $false )
| ( ( r1 @ SV2 @ SV9 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(170,plain,
! [SV2: $i,SV15: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV15 )
| ! [SY254: $i] :
( ~ ( r1 @ SV15 @ SY254 )
| ! [SX4: $i] :
( ~ ( r1 @ SY254 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(171,plain,
! [SV2: $i,SV16: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV16 )
| ~ ( ~ ( r1 @ SV16 @ ( sK3_X @ SV16 @ SV6 @ SV2 ) )
| ~ ~ ( p4 @ ( sK3_X @ SV16 @ SV6 @ SV2 ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(172,plain,
! [SV6: $i,SV2: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ! [SY232: $i] :
( ~ ( r1 @ SV12 @ SY232 )
| ! [SX4: $i] :
( ~ ( r1 @ SY232 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV12 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_Y @ SY238 @ SV12 @ SY238 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY238 @ SV12 @ SY238 @ SV2 ) ) ) ) )
| ~ ! [SY239: $i] :
( ~ ( r1 @ SV12 @ SY239 )
| ! [SX4: $i] :
( ~ ( r1 @ SY239 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(173,plain,
( ( ( ~ ( p5 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p6 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p4 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p3 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p2 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p1 @ sK18_SY138 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(174,plain,
( ( ~ ( r1 @ sK11_SY121 @ sK12_SY123 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(175,plain,
( ( ~ ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(176,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV13: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV13 ) )
= $true )
| ( ( ! [SY245: $i] :
( ~ ( r1 @ SV13 @ SY245 )
| ! [SX6: $i] :
( ~ ( r1 @ SY245 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(177,plain,
! [SV2: $i,SV8: $i,SV14: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV14 ) )
= $true )
| ( ( ! [SY249: $i] :
( ~ ( r1 @ SV14 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(178,plain,
! [SV2: $i,SV15: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV15 ) )
= $true )
| ( ( ! [SY254: $i] :
( ~ ( r1 @ SV15 @ SY254 )
| ! [SX4: $i] :
( ~ ( r1 @ SY254 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(179,plain,
! [SV2: $i,SV16: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV16 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV16 @ ( sK3_X @ SV16 @ SV6 @ SV2 ) )
| ~ ~ ( p4 @ ( sK3_X @ SV16 @ SV6 @ SV2 ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(180,plain,
! [SV6: $i,SV2: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ! [SY232: $i] :
( ~ ( r1 @ SV12 @ SY232 )
| ! [SX4: $i] :
( ~ ( r1 @ SY232 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV12 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_Y @ SY238 @ SV12 @ SY238 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY238 @ SV12 @ SY238 @ SV2 ) ) ) ) ) )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(181,plain,
! [SV2: $i,SV6: $i,SV12: $i] :
( ( ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV12 @ SY239 )
| ! [SX4: $i] :
( ~ ( r1 @ SY239 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(182,plain,
( ( ( p5 @ sK18_SY138 )
= $false )
| ( ( ~ ( p6 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p4 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p3 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p2 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p1 @ sK18_SY138 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(183,plain,
( ( r1 @ sK11_SY121 @ sK12_SY123 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(184,plain,
( ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 )
| ( p2 @ sK12_SY123 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(185,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV13: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( ! [SY245: $i] :
( ~ ( r1 @ SV13 @ SY245 )
| ! [SX6: $i] :
( ~ ( r1 @ SY245 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(186,plain,
! [SV2: $i,SV8: $i,SV14: $i,SV11: $i] :
( ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( ! [SY249: $i] :
( ~ ( r1 @ SV14 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(187,plain,
! [SV2: $i,SV15: $i,SV6: $i] :
( ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( ! [SY254: $i] :
( ~ ( r1 @ SV15 @ SY254 )
| ! [SX4: $i] :
( ~ ( r1 @ SY254 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(188,plain,
! [SV2: $i,SV16: $i,SV6: $i] :
( ( ( r1 @ SV6 @ SV16 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV16 @ ( sK3_X @ SV16 @ SV6 @ SV2 ) )
| ~ ~ ( p4 @ ( sK3_X @ SV16 @ SV6 @ SV2 ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(189,plain,
! [SV6: $i,SV2: $i,SV12: $i] :
( ( ( ~ ( ~ ! [SY232: $i] :
( ~ ( r1 @ SV12 @ SY232 )
| ! [SX4: $i] :
( ~ ( r1 @ SY232 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV12 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_Y @ SY238 @ SV12 @ SY238 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY238 @ SV12 @ SY238 @ SV2 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(190,plain,
! [SV2: $i,SV6: $i,SV12: $i] :
( ( ( ! [SY239: $i] :
( ~ ( r1 @ SV12 @ SY239 )
| ! [SX4: $i] :
( ~ ( r1 @ SY239 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(191,plain,
( ( ( p6 @ sK18_SY138 )
= $false )
| ( ( p5 @ sK18_SY138 )
= $false )
| ( ( ~ ( p4 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p3 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p2 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p1 @ sK18_SY138 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(192,plain,
( ( ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 )
| ( p4 @ sK12_SY123 ) )
= $true )
| ( ( p2 @ sK12_SY123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(193,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV17: $i,SV13: $i] :
( ( ( ~ ( r1 @ SV13 @ SV17 )
| ! [SY260: $i] :
( ~ ( r1 @ SV17 @ SY260 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SY260 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SY260 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
= $true )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(194,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV18: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV18 )
| ! [SY263: $i] :
( ~ ( r1 @ SV18 @ SY263 )
| ! [SX6: $i] :
( ~ ( r1 @ SY263 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(195,plain,
! [SV2: $i,SV6: $i,SV19: $i,SV15: $i] :
( ( ( ~ ( r1 @ SV15 @ SV19 )
| ! [SY267: $i] :
( ~ ( r1 @ SV19 @ SY267 )
| ! [SX5: $i] :
( ~ ( r1 @ SY267 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(196,plain,
! [SV2: $i,SV6: $i,SV16: $i] :
( ( ( ~ ( r1 @ SV16 @ ( sK3_X @ SV16 @ SV6 @ SV2 ) )
| ~ ~ ( p4 @ ( sK3_X @ SV16 @ SV6 @ SV2 ) ) )
= $false )
| ( ( r1 @ SV6 @ SV16 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(197,plain,
! [SV6: $i,SV2: $i,SV12: $i] :
( ( ( ~ ! [SY232: $i] :
( ~ ( r1 @ SV12 @ SY232 )
| ! [SX4: $i] :
( ~ ( r1 @ SY232 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV12 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_Y @ SY238 @ SV12 @ SY238 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY238 @ SV12 @ SY238 @ SV2 ) ) ) ) )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(198,plain,
! [SV2: $i,SV6: $i,SV20: $i,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ SV20 )
| ! [SY272: $i] :
( ~ ( r1 @ SV20 @ SY272 )
| ! [SX5: $i] :
( ~ ( r1 @ SY272 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(199,plain,
( ( ( p4 @ sK18_SY138 )
= $false )
| ( ( p5 @ sK18_SY138 )
= $false )
| ( ( p6 @ sK18_SY138 )
= $false )
| ( ( ~ ( p3 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p2 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p1 @ sK18_SY138 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(200,plain,
( ( ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 )
| ( p6 @ sK12_SY123 ) )
= $true )
| ( ( p4 @ sK12_SY123 )
= $true )
| ( ( p2 @ sK12_SY123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(201,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV17: $i,SV13: $i] :
( ( ( ~ ( r1 @ SV13 @ SV17 ) )
= $true )
| ( ( ! [SY260: $i] :
( ~ ( r1 @ SV17 @ SY260 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SY260 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SY260 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
= $true )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(202,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV18: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV18 ) )
= $true )
| ( ( ! [SY263: $i] :
( ~ ( r1 @ SV18 @ SY263 )
| ! [SX6: $i] :
( ~ ( r1 @ SY263 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(203,plain,
! [SV2: $i,SV6: $i,SV19: $i,SV15: $i] :
( ( ( ~ ( r1 @ SV15 @ SV19 ) )
= $true )
| ( ( ! [SY267: $i] :
( ~ ( r1 @ SV19 @ SY267 )
| ! [SX5: $i] :
( ~ ( r1 @ SY267 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(204,plain,
! [SV2: $i,SV6: $i,SV16: $i] :
( ( ( ~ ( r1 @ SV16 @ ( sK3_X @ SV16 @ SV6 @ SV2 ) ) )
= $false )
| ( ( r1 @ SV6 @ SV16 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(205,plain,
! [SV2: $i,SV6: $i,SV16: $i] :
( ( ( ~ ~ ( p4 @ ( sK3_X @ SV16 @ SV6 @ SV2 ) ) )
= $false )
| ( ( r1 @ SV6 @ SV16 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(206,plain,
! [SV2: $i,SV6: $i,SV12: $i] :
( ( ( ~ ! [SY232: $i] :
( ~ ( r1 @ SV12 @ SY232 )
| ! [SX4: $i] :
( ~ ( r1 @ SY232 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(207,plain,
! [SV6: $i,SV2: $i,SV12: $i] :
( ( ( ~ ! [SY238: $i] :
( ~ ( r1 @ SV12 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_Y @ SY238 @ SV12 @ SY238 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY238 @ SV12 @ SY238 @ SV2 ) ) ) ) )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(208,plain,
! [SV2: $i,SV6: $i,SV20: $i,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ SV20 ) )
= $true )
| ( ( ! [SY272: $i] :
( ~ ( r1 @ SV20 @ SY272 )
| ! [SX5: $i] :
( ~ ( r1 @ SY272 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(209,plain,
( ( ( p3 @ sK18_SY138 )
= $false )
| ( ( p6 @ sK18_SY138 )
= $false )
| ( ( p5 @ sK18_SY138 )
= $false )
| ( ( p4 @ sK18_SY138 )
= $false )
| ( ( ~ ( p2 @ sK18_SY138 ) )
= $true )
| ( ( ~ ( p1 @ sK18_SY138 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(210,plain,
( ( ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 )
| ( p8 @ sK12_SY123 ) )
= $true )
| ( ( p6 @ sK12_SY123 )
= $true )
| ( ( p4 @ sK12_SY123 )
= $true )
| ( ( p2 @ sK12_SY123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(211,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV17: $i,SV13: $i] :
( ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( ! [SY260: $i] :
( ~ ( r1 @ SV17 @ SY260 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SY260 @ SX7 )
| ( p5 @ SX7 )
| ( p1 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SY260 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
= $true )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(212,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV18: $i,SV14: $i] :
( ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( ! [SY263: $i] :
( ~ ( r1 @ SV18 @ SY263 )
| ! [SX6: $i] :
( ~ ( r1 @ SY263 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(213,plain,
! [SV2: $i,SV6: $i,SV19: $i,SV15: $i] :
( ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( ! [SY267: $i] :
( ~ ( r1 @ SV19 @ SY267 )
| ! [SX5: $i] :
( ~ ( r1 @ SY267 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(214,plain,
! [SV2: $i,SV6: $i,SV16: $i] :
( ( ( r1 @ SV16 @ ( sK3_X @ SV16 @ SV6 @ SV2 ) )
= $true )
| ( ( r1 @ SV6 @ SV16 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(215,plain,
! [SV2: $i,SV6: $i,SV16: $i] :
( ( ( ~ ( p4 @ ( sK3_X @ SV16 @ SV6 @ SV2 ) ) )
= $true )
| ( ( r1 @ SV6 @ SV16 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(216,plain,
! [SV2: $i,SV6: $i,SV12: $i] :
( ( ( ! [SY232: $i] :
( ~ ( r1 @ SV12 @ SY232 )
| ! [SX4: $i] :
( ~ ( r1 @ SY232 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(217,plain,
! [SV6: $i,SV2: $i,SV12: $i] :
( ( ( ! [SY238: $i] :
( ~ ( r1 @ SV12 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_Y @ SY238 @ SV12 @ SY238 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY238 @ SV12 @ SY238 @ SV2 ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(218,plain,
! [SV2: $i,SV6: $i,SV20: $i,SV12: $i] :
( ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( ! [SY272: $i] :
( ~ ( r1 @ SV20 @ SY272 )
| ! [SX5: $i] :
( ~ ( r1 @ SY272 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(219,plain,
( ( ( p2 @ sK18_SY138 )
= $false )
| ( ( p4 @ sK18_SY138 )
= $false )
| ( ( p5 @ sK18_SY138 )
= $false )
| ( ( p6 @ sK18_SY138 )
= $false )
| ( ( p3 @ sK18_SY138 )
= $false )
| ( ( ~ ( p1 @ sK18_SY138 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(220,plain,
( ( ( ( p12 @ sK12_SY123 )
| ( p10 @ sK12_SY123 ) )
= $true )
| ( ( p8 @ sK12_SY123 )
= $true )
| ( ( p6 @ sK12_SY123 )
= $true )
| ( ( p4 @ sK12_SY123 )
= $true )
| ( ( p2 @ sK12_SY123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(221,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV13: $i,SV21: $i,SV17: $i] :
( ( ( ~ ( r1 @ SV17 @ SV21 )
| ~ ( ~ ! [SY277: $i] :
( ~ ( r1 @ SV21 @ SY277 )
| ( p5 @ SY277 )
| ( p1 @ SY277 ) )
| ~ ! [SY278: $i] :
( ~ ( r1 @ SV21 @ SY278 )
| ~ ( p1 @ SY278 )
| ~ ( p5 @ SY278 ) ) ) )
= $true )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(222,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV22: $i,SV18: $i] :
( ( ( ~ ( r1 @ SV18 @ SV22 )
| ! [SY279: $i] :
( ~ ( r1 @ SV22 @ SY279 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SY279 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SY279 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
= $true )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(223,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV23: $i,SV19: $i] :
( ( ( ~ ( r1 @ SV19 @ SV23 )
| ! [SY282: $i] :
( ~ ( r1 @ SV23 @ SY282 )
| ! [SX6: $i] :
( ~ ( r1 @ SY282 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(224,plain,
! [SV2: $i,SV6: $i,SV16: $i] :
( ( ( p4 @ ( sK3_X @ SV16 @ SV6 @ SV2 ) )
= $false )
| ( ( r1 @ SV6 @ SV16 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(225,plain,
! [SV2: $i,SV6: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ SV24 )
| ! [SY286: $i] :
( ~ ( r1 @ SV24 @ SY286 )
| ! [SX5: $i] :
( ~ ( r1 @ SY286 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(226,plain,
! [SV6: $i,SV2: $i,SV25: $i,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ SV25 )
| ~ ( ~ ( r1 @ SV25 @ ( sK2_Y @ SV25 @ SV12 @ SV25 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SV25 @ SV12 @ SV25 @ SV2 ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(227,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV26: $i,SV20: $i] :
( ( ( ~ ( r1 @ SV20 @ SV26 )
| ! [SY291: $i] :
( ~ ( r1 @ SV26 @ SY291 )
| ! [SX6: $i] :
( ~ ( r1 @ SY291 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(228,plain,
( ( ( p1 @ sK18_SY138 )
= $false )
| ( ( p3 @ sK18_SY138 )
= $false )
| ( ( p6 @ sK18_SY138 )
= $false )
| ( ( p5 @ sK18_SY138 )
= $false )
| ( ( p4 @ sK18_SY138 )
= $false )
| ( ( p2 @ sK18_SY138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(229,plain,
( ( ( p12 @ sK12_SY123 )
= $true )
| ( ( p10 @ sK12_SY123 )
= $true )
| ( ( p8 @ sK12_SY123 )
= $true )
| ( ( p6 @ sK12_SY123 )
= $true )
| ( ( p4 @ sK12_SY123 )
= $true )
| ( ( p2 @ sK12_SY123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(230,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV13: $i,SV21: $i,SV17: $i] :
( ( ( ~ ( r1 @ SV17 @ SV21 ) )
= $true )
| ( ( ~ ( ~ ! [SY277: $i] :
( ~ ( r1 @ SV21 @ SY277 )
| ( p5 @ SY277 )
| ( p1 @ SY277 ) )
| ~ ! [SY278: $i] :
( ~ ( r1 @ SV21 @ SY278 )
| ~ ( p1 @ SY278 )
| ~ ( p5 @ SY278 ) ) ) )
= $true )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(231,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV22: $i,SV18: $i] :
( ( ( ~ ( r1 @ SV18 @ SV22 ) )
= $true )
| ( ( ! [SY279: $i] :
( ~ ( r1 @ SV22 @ SY279 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SY279 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SY279 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
= $true )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(232,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV23: $i,SV19: $i] :
( ( ( ~ ( r1 @ SV19 @ SV23 ) )
= $true )
| ( ( ! [SY282: $i] :
( ~ ( r1 @ SV23 @ SY282 )
| ! [SX6: $i] :
( ~ ( r1 @ SY282 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(233,plain,
! [SV2: $i,SV6: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ SV24 ) )
= $true )
| ( ( ! [SY286: $i] :
( ~ ( r1 @ SV24 @ SY286 )
| ! [SX5: $i] :
( ~ ( r1 @ SY286 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(234,plain,
! [SV6: $i,SV2: $i,SV25: $i,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ SV25 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV25 @ ( sK2_Y @ SV25 @ SV12 @ SV25 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SV25 @ SV12 @ SV25 @ SV2 ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(235,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV26: $i,SV20: $i] :
( ( ( ~ ( r1 @ SV20 @ SV26 ) )
= $true )
| ( ( ! [SY291: $i] :
( ~ ( r1 @ SV26 @ SY291 )
| ! [SX6: $i] :
( ~ ( r1 @ SY291 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(236,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV13: $i,SV21: $i,SV17: $i] :
( ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( ~ ( ~ ! [SY277: $i] :
( ~ ( r1 @ SV21 @ SY277 )
| ( p5 @ SY277 )
| ( p1 @ SY277 ) )
| ~ ! [SY278: $i] :
( ~ ( r1 @ SV21 @ SY278 )
| ~ ( p1 @ SY278 )
| ~ ( p5 @ SY278 ) ) ) )
= $true )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(237,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV22: $i,SV18: $i] :
( ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( ! [SY279: $i] :
( ~ ( r1 @ SV22 @ SY279 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SY279 @ SX7 )
| ( p4 @ SX7 )
| ( p5 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SY279 @ SX7 )
| ~ ( p4 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
= $true )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(238,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV23: $i,SV19: $i] :
( ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( ! [SY282: $i] :
( ~ ( r1 @ SV23 @ SY282 )
| ! [SX6: $i] :
( ~ ( r1 @ SY282 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(239,plain,
! [SV2: $i,SV6: $i,SV24: $i,SV12: $i] :
( ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( ! [SY286: $i] :
( ~ ( r1 @ SV24 @ SY286 )
| ! [SX5: $i] :
( ~ ( r1 @ SY286 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(240,plain,
! [SV6: $i,SV2: $i,SV25: $i,SV12: $i] :
( ( ( r1 @ SV12 @ SV25 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV25 @ ( sK2_Y @ SV25 @ SV12 @ SV25 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SV25 @ SV12 @ SV25 @ SV2 ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(241,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV26: $i,SV20: $i] :
( ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( ! [SY291: $i] :
( ~ ( r1 @ SV26 @ SY291 )
| ! [SX6: $i] :
( ~ ( r1 @ SY291 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(242,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV13: $i,SV17: $i,SV21: $i] :
( ( ( ~ ! [SY277: $i] :
( ~ ( r1 @ SV21 @ SY277 )
| ( p5 @ SY277 )
| ( p1 @ SY277 ) )
| ~ ! [SY278: $i] :
( ~ ( r1 @ SV21 @ SY278 )
| ~ ( p1 @ SY278 )
| ~ ( p5 @ SY278 ) ) )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(243,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV18: $i,SV27: $i,SV22: $i] :
( ( ( ~ ( r1 @ SV22 @ SV27 )
| ~ ( ~ ! [SY295: $i] :
( ~ ( r1 @ SV27 @ SY295 )
| ( p4 @ SY295 )
| ( p5 @ SY295 ) )
| ~ ! [SY296: $i] :
( ~ ( r1 @ SV27 @ SY296 )
| ~ ( p4 @ SY296 )
| ~ ( p5 @ SY296 ) ) ) )
= $true )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(244,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV28: $i,SV23: $i] :
( ( ( ~ ( r1 @ SV23 @ SV28 )
| ! [SY297: $i] :
( ~ ( r1 @ SV28 @ SY297 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SY297 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SY297 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) )
= $true )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(245,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV29: $i,SV24: $i] :
( ( ( ~ ( r1 @ SV24 @ SV29 )
| ! [SY300: $i] :
( ~ ( r1 @ SV29 @ SY300 )
| ! [SX6: $i] :
( ~ ( r1 @ SY300 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(246,plain,
! [SV6: $i,SV2: $i,SV12: $i,SV25: $i] :
( ( ( ~ ( r1 @ SV25 @ ( sK2_Y @ SV25 @ SV12 @ SV25 @ SV2 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SV25 @ SV12 @ SV25 @ SV2 ) ) )
= $false )
| ( ( r1 @ SV12 @ SV25 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(247,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV30: $i,SV26: $i] :
( ( ( ~ ( r1 @ SV26 @ SV30 )
| ! [SY304: $i] :
( ~ ( r1 @ SV30 @ SY304 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SY304 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SY304 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) )
= $true )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(248,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV13: $i,SV17: $i,SV21: $i] :
( ( ( ~ ! [SY277: $i] :
( ~ ( r1 @ SV21 @ SY277 )
| ( p5 @ SY277 )
| ( p1 @ SY277 ) ) )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(249,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV13: $i,SV17: $i,SV21: $i] :
( ( ( ~ ! [SY278: $i] :
( ~ ( r1 @ SV21 @ SY278 )
| ~ ( p1 @ SY278 )
| ~ ( p5 @ SY278 ) ) )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(250,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV18: $i,SV27: $i,SV22: $i] :
( ( ( ~ ( r1 @ SV22 @ SV27 ) )
= $true )
| ( ( ~ ( ~ ! [SY295: $i] :
( ~ ( r1 @ SV27 @ SY295 )
| ( p4 @ SY295 )
| ( p5 @ SY295 ) )
| ~ ! [SY296: $i] :
( ~ ( r1 @ SV27 @ SY296 )
| ~ ( p4 @ SY296 )
| ~ ( p5 @ SY296 ) ) ) )
= $true )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(251,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV28: $i,SV23: $i] :
( ( ( ~ ( r1 @ SV23 @ SV28 ) )
= $true )
| ( ( ! [SY297: $i] :
( ~ ( r1 @ SV28 @ SY297 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SY297 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SY297 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) )
= $true )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(252,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV29: $i,SV24: $i] :
( ( ( ~ ( r1 @ SV24 @ SV29 ) )
= $true )
| ( ( ! [SY300: $i] :
( ~ ( r1 @ SV29 @ SY300 )
| ! [SX6: $i] :
( ~ ( r1 @ SY300 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(253,plain,
! [SV6: $i,SV2: $i,SV12: $i,SV25: $i] :
( ( ( ~ ( r1 @ SV25 @ ( sK2_Y @ SV25 @ SV12 @ SV25 @ SV2 ) ) )
= $false )
| ( ( r1 @ SV12 @ SV25 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(254,plain,
! [SV6: $i,SV2: $i,SV12: $i,SV25: $i] :
( ( ( ~ ~ ( p3 @ ( sK2_Y @ SV25 @ SV12 @ SV25 @ SV2 ) ) )
= $false )
| ( ( r1 @ SV12 @ SV25 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(255,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV30: $i,SV26: $i] :
( ( ( ~ ( r1 @ SV26 @ SV30 ) )
= $true )
| ( ( ! [SY304: $i] :
( ~ ( r1 @ SV30 @ SY304 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SY304 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SY304 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) )
= $true )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(256,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV13: $i,SV17: $i,SV21: $i] :
( ( ( ! [SY277: $i] :
( ~ ( r1 @ SV21 @ SY277 )
| ( p5 @ SY277 )
| ( p1 @ SY277 ) ) )
= $true )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(257,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV13: $i,SV17: $i,SV21: $i] :
( ( ( ! [SY278: $i] :
( ~ ( r1 @ SV21 @ SY278 )
| ~ ( p1 @ SY278 )
| ~ ( p5 @ SY278 ) ) )
= $true )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(258,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV18: $i,SV27: $i,SV22: $i] :
( ( ( r1 @ SV22 @ SV27 )
= $false )
| ( ( ~ ( ~ ! [SY295: $i] :
( ~ ( r1 @ SV27 @ SY295 )
| ( p4 @ SY295 )
| ( p5 @ SY295 ) )
| ~ ! [SY296: $i] :
( ~ ( r1 @ SV27 @ SY296 )
| ~ ( p4 @ SY296 )
| ~ ( p5 @ SY296 ) ) ) )
= $true )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(259,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV28: $i,SV23: $i] :
( ( ( r1 @ SV23 @ SV28 )
= $false )
| ( ( ! [SY297: $i] :
( ~ ( r1 @ SV28 @ SY297 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SY297 @ SX7 )
| ( p3 @ SX7 )
| ( p4 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SY297 @ SX7 )
| ~ ( p3 @ SX7 )
| ~ ( p4 @ SX7 ) ) ) ) )
= $true )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(260,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV29: $i,SV24: $i] :
( ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( ! [SY300: $i] :
( ~ ( r1 @ SV29 @ SY300 )
| ! [SX6: $i] :
( ~ ( r1 @ SY300 @ SX6 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(261,plain,
! [SV6: $i,SV2: $i,SV12: $i,SV25: $i] :
( ( ( r1 @ SV25 @ ( sK2_Y @ SV25 @ SV12 @ SV25 @ SV2 ) )
= $true )
| ( ( r1 @ SV12 @ SV25 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(262,plain,
! [SV6: $i,SV2: $i,SV12: $i,SV25: $i] :
( ( ( ~ ( p3 @ ( sK2_Y @ SV25 @ SV12 @ SV25 @ SV2 ) ) )
= $true )
| ( ( r1 @ SV12 @ SV25 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(263,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV30: $i,SV26: $i] :
( ( ( r1 @ SV26 @ SV30 )
= $false )
| ( ( ! [SY304: $i] :
( ~ ( r1 @ SV30 @ SY304 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SY304 @ SX7 )
| ( p1 @ SX7 )
| ( p2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SY304 @ SX7 )
| ~ ( p1 @ SX7 )
| ~ ( p2 @ SX7 ) ) ) ) )
= $true )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(264,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV13: $i,SV17: $i,SV31: $i,SV21: $i] :
( ( ( ~ ( r1 @ SV21 @ SV31 )
| ( p5 @ SV31 )
| ( p1 @ SV31 ) )
= $true )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(265,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV13: $i,SV17: $i,SV32: $i,SV21: $i] :
( ( ( ~ ( r1 @ SV21 @ SV32 )
| ~ ( p1 @ SV32 )
| ~ ( p5 @ SV32 ) )
= $true )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(266,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV18: $i,SV22: $i,SV27: $i] :
( ( ( ~ ! [SY295: $i] :
( ~ ( r1 @ SV27 @ SY295 )
| ( p4 @ SY295 )
| ( p5 @ SY295 ) )
| ~ ! [SY296: $i] :
( ~ ( r1 @ SV27 @ SY296 )
| ~ ( p4 @ SY296 )
| ~ ( p5 @ SY296 ) ) )
= $false )
| ( ( r1 @ SV22 @ SV27 )
= $false )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(267,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV23: $i,SV33: $i,SV28: $i] :
( ( ( ~ ( r1 @ SV28 @ SV33 )
| ~ ( ~ ! [SY307: $i] :
( ~ ( r1 @ SV33 @ SY307 )
| ( p3 @ SY307 )
| ( p4 @ SY307 ) )
| ~ ! [SY308: $i] :
( ~ ( r1 @ SV33 @ SY308 )
| ~ ( p3 @ SY308 )
| ~ ( p4 @ SY308 ) ) ) )
= $true )
| ( ( r1 @ SV23 @ SV28 )
= $false )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(268,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV34: $i,SV29: $i] :
( ( ( ~ ( r1 @ SV29 @ SV34 )
| ! [SY309: $i] :
( ~ ( r1 @ SV34 @ SY309 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SY309 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SY309 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) )
= $true )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(269,plain,
! [SV6: $i,SV2: $i,SV12: $i,SV25: $i] :
( ( ( p3 @ ( sK2_Y @ SV25 @ SV12 @ SV25 @ SV2 ) )
= $false )
| ( ( r1 @ SV12 @ SV25 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(270,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV26: $i,SV35: $i,SV30: $i] :
( ( ( ~ ( r1 @ SV30 @ SV35 )
| ~ ( ~ ! [SY312: $i] :
( ~ ( r1 @ SV35 @ SY312 )
| ( p1 @ SY312 )
| ( p2 @ SY312 ) )
| ~ ! [SY313: $i] :
( ~ ( r1 @ SV35 @ SY313 )
| ~ ( p1 @ SY313 )
| ~ ( p2 @ SY313 ) ) ) )
= $true )
| ( ( r1 @ SV26 @ SV30 )
= $false )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(271,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV13: $i,SV17: $i,SV31: $i,SV21: $i] :
( ( ( ~ ( r1 @ SV21 @ SV31 ) )
= $true )
| ( ( ( p5 @ SV31 )
| ( p1 @ SV31 ) )
= $true )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(272,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV13: $i,SV17: $i,SV32: $i,SV21: $i] :
( ( ( ~ ( r1 @ SV21 @ SV32 ) )
= $true )
| ( ( ~ ( p1 @ SV32 )
| ~ ( p5 @ SV32 ) )
= $true )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(273,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV18: $i,SV22: $i,SV27: $i] :
( ( ( ~ ! [SY295: $i] :
( ~ ( r1 @ SV27 @ SY295 )
| ( p4 @ SY295 )
| ( p5 @ SY295 ) ) )
= $false )
| ( ( r1 @ SV22 @ SV27 )
= $false )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(274,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV18: $i,SV22: $i,SV27: $i] :
( ( ( ~ ! [SY296: $i] :
( ~ ( r1 @ SV27 @ SY296 )
| ~ ( p4 @ SY296 )
| ~ ( p5 @ SY296 ) ) )
= $false )
| ( ( r1 @ SV22 @ SV27 )
= $false )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(275,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV23: $i,SV33: $i,SV28: $i] :
( ( ( ~ ( r1 @ SV28 @ SV33 ) )
= $true )
| ( ( ~ ( ~ ! [SY307: $i] :
( ~ ( r1 @ SV33 @ SY307 )
| ( p3 @ SY307 )
| ( p4 @ SY307 ) )
| ~ ! [SY308: $i] :
( ~ ( r1 @ SV33 @ SY308 )
| ~ ( p3 @ SY308 )
| ~ ( p4 @ SY308 ) ) ) )
= $true )
| ( ( r1 @ SV23 @ SV28 )
= $false )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(276,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV34: $i,SV29: $i] :
( ( ( ~ ( r1 @ SV29 @ SV34 ) )
= $true )
| ( ( ! [SY309: $i] :
( ~ ( r1 @ SV34 @ SY309 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SY309 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SY309 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) )
= $true )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(277,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV26: $i,SV35: $i,SV30: $i] :
( ( ( ~ ( r1 @ SV30 @ SV35 ) )
= $true )
| ( ( ~ ( ~ ! [SY312: $i] :
( ~ ( r1 @ SV35 @ SY312 )
| ( p1 @ SY312 )
| ( p2 @ SY312 ) )
| ~ ! [SY313: $i] :
( ~ ( r1 @ SV35 @ SY313 )
| ~ ( p1 @ SY313 )
| ~ ( p2 @ SY313 ) ) ) )
= $true )
| ( ( r1 @ SV26 @ SV30 )
= $false )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(278,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV13: $i,SV17: $i,SV31: $i,SV21: $i] :
( ( ( r1 @ SV21 @ SV31 )
= $false )
| ( ( ( p5 @ SV31 )
| ( p1 @ SV31 ) )
= $true )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(279,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV13: $i,SV17: $i,SV32: $i,SV21: $i] :
( ( ( r1 @ SV21 @ SV32 )
= $false )
| ( ( ~ ( p1 @ SV32 )
| ~ ( p5 @ SV32 ) )
= $true )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(280,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV18: $i,SV22: $i,SV27: $i] :
( ( ( ! [SY295: $i] :
( ~ ( r1 @ SV27 @ SY295 )
| ( p4 @ SY295 )
| ( p5 @ SY295 ) ) )
= $true )
| ( ( r1 @ SV22 @ SV27 )
= $false )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(281,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV18: $i,SV22: $i,SV27: $i] :
( ( ( ! [SY296: $i] :
( ~ ( r1 @ SV27 @ SY296 )
| ~ ( p4 @ SY296 )
| ~ ( p5 @ SY296 ) ) )
= $true )
| ( ( r1 @ SV22 @ SV27 )
= $false )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(282,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV23: $i,SV33: $i,SV28: $i] :
( ( ( r1 @ SV28 @ SV33 )
= $false )
| ( ( ~ ( ~ ! [SY307: $i] :
( ~ ( r1 @ SV33 @ SY307 )
| ( p3 @ SY307 )
| ( p4 @ SY307 ) )
| ~ ! [SY308: $i] :
( ~ ( r1 @ SV33 @ SY308 )
| ~ ( p3 @ SY308 )
| ~ ( p4 @ SY308 ) ) ) )
= $true )
| ( ( r1 @ SV23 @ SV28 )
= $false )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(283,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV34: $i,SV29: $i] :
( ( ( r1 @ SV29 @ SV34 )
= $false )
| ( ( ! [SY309: $i] :
( ~ ( r1 @ SV34 @ SY309 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( r1 @ SY309 @ SX7 )
| ( p2 @ SX7 )
| ( p3 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SY309 @ SX7 )
| ~ ( p2 @ SX7 )
| ~ ( p3 @ SX7 ) ) ) ) )
= $true )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(284,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV26: $i,SV35: $i,SV30: $i] :
( ( ( r1 @ SV30 @ SV35 )
= $false )
| ( ( ~ ( ~ ! [SY312: $i] :
( ~ ( r1 @ SV35 @ SY312 )
| ( p1 @ SY312 )
| ( p2 @ SY312 ) )
| ~ ! [SY313: $i] :
( ~ ( r1 @ SV35 @ SY313 )
| ~ ( p1 @ SY313 )
| ~ ( p2 @ SY313 ) ) ) )
= $true )
| ( ( r1 @ SV26 @ SV30 )
= $false )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(285,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV13: $i,SV17: $i,SV21: $i,SV31: $i] :
( ( ( p5 @ SV31 )
= $true )
| ( ( p1 @ SV31 )
= $true )
| ( ( r1 @ SV21 @ SV31 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(286,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV13: $i,SV17: $i,SV21: $i,SV32: $i] :
( ( ( ~ ( p1 @ SV32 ) )
= $true )
| ( ( ~ ( p5 @ SV32 ) )
= $true )
| ( ( r1 @ SV21 @ SV32 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(287,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV18: $i,SV22: $i,SV36: $i,SV27: $i] :
( ( ( ~ ( r1 @ SV27 @ SV36 )
| ( p4 @ SV36 )
| ( p5 @ SV36 ) )
= $true )
| ( ( r1 @ SV22 @ SV27 )
= $false )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(288,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV18: $i,SV22: $i,SV37: $i,SV27: $i] :
( ( ( ~ ( r1 @ SV27 @ SV37 )
| ~ ( p4 @ SV37 )
| ~ ( p5 @ SV37 ) )
= $true )
| ( ( r1 @ SV22 @ SV27 )
= $false )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(289,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV23: $i,SV28: $i,SV33: $i] :
( ( ( ~ ! [SY307: $i] :
( ~ ( r1 @ SV33 @ SY307 )
| ( p3 @ SY307 )
| ( p4 @ SY307 ) )
| ~ ! [SY308: $i] :
( ~ ( r1 @ SV33 @ SY308 )
| ~ ( p3 @ SY308 )
| ~ ( p4 @ SY308 ) ) )
= $false )
| ( ( r1 @ SV28 @ SV33 )
= $false )
| ( ( r1 @ SV23 @ SV28 )
= $false )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(290,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV29: $i,SV38: $i,SV34: $i] :
( ( ( ~ ( r1 @ SV34 @ SV38 )
| ~ ( ~ ! [SY314: $i] :
( ~ ( r1 @ SV38 @ SY314 )
| ( p2 @ SY314 )
| ( p3 @ SY314 ) )
| ~ ! [SY315: $i] :
( ~ ( r1 @ SV38 @ SY315 )
| ~ ( p2 @ SY315 )
| ~ ( p3 @ SY315 ) ) ) )
= $true )
| ( ( r1 @ SV29 @ SV34 )
= $false )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(291,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV26: $i,SV30: $i,SV35: $i] :
( ( ( ~ ! [SY312: $i] :
( ~ ( r1 @ SV35 @ SY312 )
| ( p1 @ SY312 )
| ( p2 @ SY312 ) )
| ~ ! [SY313: $i] :
( ~ ( r1 @ SV35 @ SY313 )
| ~ ( p1 @ SY313 )
| ~ ( p2 @ SY313 ) ) )
= $false )
| ( ( r1 @ SV30 @ SV35 )
= $false )
| ( ( r1 @ SV26 @ SV30 )
= $false )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(292,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV13: $i,SV17: $i,SV21: $i,SV32: $i] :
( ( ( p1 @ SV32 )
= $false )
| ( ( ~ ( p5 @ SV32 ) )
= $true )
| ( ( r1 @ SV21 @ SV32 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(293,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV18: $i,SV22: $i,SV36: $i,SV27: $i] :
( ( ( ~ ( r1 @ SV27 @ SV36 ) )
= $true )
| ( ( ( p4 @ SV36 )
| ( p5 @ SV36 ) )
= $true )
| ( ( r1 @ SV22 @ SV27 )
= $false )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(294,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV18: $i,SV22: $i,SV37: $i,SV27: $i] :
( ( ( ~ ( r1 @ SV27 @ SV37 ) )
= $true )
| ( ( ~ ( p4 @ SV37 )
| ~ ( p5 @ SV37 ) )
= $true )
| ( ( r1 @ SV22 @ SV27 )
= $false )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(295,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV23: $i,SV28: $i,SV33: $i] :
( ( ( ~ ! [SY307: $i] :
( ~ ( r1 @ SV33 @ SY307 )
| ( p3 @ SY307 )
| ( p4 @ SY307 ) ) )
= $false )
| ( ( r1 @ SV28 @ SV33 )
= $false )
| ( ( r1 @ SV23 @ SV28 )
= $false )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(296,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV23: $i,SV28: $i,SV33: $i] :
( ( ( ~ ! [SY308: $i] :
( ~ ( r1 @ SV33 @ SY308 )
| ~ ( p3 @ SY308 )
| ~ ( p4 @ SY308 ) ) )
= $false )
| ( ( r1 @ SV28 @ SV33 )
= $false )
| ( ( r1 @ SV23 @ SV28 )
= $false )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(297,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV29: $i,SV38: $i,SV34: $i] :
( ( ( ~ ( r1 @ SV34 @ SV38 ) )
= $true )
| ( ( ~ ( ~ ! [SY314: $i] :
( ~ ( r1 @ SV38 @ SY314 )
| ( p2 @ SY314 )
| ( p3 @ SY314 ) )
| ~ ! [SY315: $i] :
( ~ ( r1 @ SV38 @ SY315 )
| ~ ( p2 @ SY315 )
| ~ ( p3 @ SY315 ) ) ) )
= $true )
| ( ( r1 @ SV29 @ SV34 )
= $false )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(298,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV26: $i,SV30: $i,SV35: $i] :
( ( ( ~ ! [SY312: $i] :
( ~ ( r1 @ SV35 @ SY312 )
| ( p1 @ SY312 )
| ( p2 @ SY312 ) ) )
= $false )
| ( ( r1 @ SV30 @ SV35 )
= $false )
| ( ( r1 @ SV26 @ SV30 )
= $false )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(299,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV26: $i,SV30: $i,SV35: $i] :
( ( ( ~ ! [SY313: $i] :
( ~ ( r1 @ SV35 @ SY313 )
| ~ ( p1 @ SY313 )
| ~ ( p2 @ SY313 ) ) )
= $false )
| ( ( r1 @ SV30 @ SV35 )
= $false )
| ( ( r1 @ SV26 @ SV30 )
= $false )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(300,plain,
! [SV3: $i,SV5: $i,SV7: $i,SV10: $i,SV13: $i,SV17: $i,SV21: $i,SV32: $i] :
( ( ( p5 @ SV32 )
= $false )
| ( ( p1 @ SV32 )
= $false )
| ( ( r1 @ SV21 @ SV32 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV3 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(301,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV18: $i,SV22: $i,SV36: $i,SV27: $i] :
( ( ( r1 @ SV27 @ SV36 )
= $false )
| ( ( ( p4 @ SV36 )
| ( p5 @ SV36 ) )
= $true )
| ( ( r1 @ SV22 @ SV27 )
= $false )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(302,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV18: $i,SV22: $i,SV37: $i,SV27: $i] :
( ( ( r1 @ SV27 @ SV37 )
= $false )
| ( ( ~ ( p4 @ SV37 )
| ~ ( p5 @ SV37 ) )
= $true )
| ( ( r1 @ SV22 @ SV27 )
= $false )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(303,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV23: $i,SV28: $i,SV33: $i] :
( ( ( ! [SY307: $i] :
( ~ ( r1 @ SV33 @ SY307 )
| ( p3 @ SY307 )
| ( p4 @ SY307 ) ) )
= $true )
| ( ( r1 @ SV28 @ SV33 )
= $false )
| ( ( r1 @ SV23 @ SV28 )
= $false )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(304,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV23: $i,SV28: $i,SV33: $i] :
( ( ( ! [SY308: $i] :
( ~ ( r1 @ SV33 @ SY308 )
| ~ ( p3 @ SY308 )
| ~ ( p4 @ SY308 ) ) )
= $true )
| ( ( r1 @ SV28 @ SV33 )
= $false )
| ( ( r1 @ SV23 @ SV28 )
= $false )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(305,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV29: $i,SV38: $i,SV34: $i] :
( ( ( r1 @ SV34 @ SV38 )
= $false )
| ( ( ~ ( ~ ! [SY314: $i] :
( ~ ( r1 @ SV38 @ SY314 )
| ( p2 @ SY314 )
| ( p3 @ SY314 ) )
| ~ ! [SY315: $i] :
( ~ ( r1 @ SV38 @ SY315 )
| ~ ( p2 @ SY315 )
| ~ ( p3 @ SY315 ) ) ) )
= $true )
| ( ( r1 @ SV29 @ SV34 )
= $false )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(306,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV26: $i,SV30: $i,SV35: $i] :
( ( ( ! [SY312: $i] :
( ~ ( r1 @ SV35 @ SY312 )
| ( p1 @ SY312 )
| ( p2 @ SY312 ) ) )
= $true )
| ( ( r1 @ SV30 @ SV35 )
= $false )
| ( ( r1 @ SV26 @ SV30 )
= $false )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(307,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV26: $i,SV30: $i,SV35: $i] :
( ( ( ! [SY313: $i] :
( ~ ( r1 @ SV35 @ SY313 )
| ~ ( p1 @ SY313 )
| ~ ( p2 @ SY313 ) ) )
= $true )
| ( ( r1 @ SV30 @ SV35 )
= $false )
| ( ( r1 @ SV26 @ SV30 )
= $false )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(308,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV18: $i,SV22: $i,SV27: $i,SV36: $i] :
( ( ( p4 @ SV36 )
= $true )
| ( ( p5 @ SV36 )
= $true )
| ( ( r1 @ SV27 @ SV36 )
= $false )
| ( ( r1 @ SV22 @ SV27 )
= $false )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(309,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV18: $i,SV22: $i,SV27: $i,SV37: $i] :
( ( ( ~ ( p4 @ SV37 ) )
= $true )
| ( ( ~ ( p5 @ SV37 ) )
= $true )
| ( ( r1 @ SV27 @ SV37 )
= $false )
| ( ( r1 @ SV22 @ SV27 )
= $false )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(310,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV23: $i,SV28: $i,SV39: $i,SV33: $i] :
( ( ( ~ ( r1 @ SV33 @ SV39 )
| ( p3 @ SV39 )
| ( p4 @ SV39 ) )
= $true )
| ( ( r1 @ SV28 @ SV33 )
= $false )
| ( ( r1 @ SV23 @ SV28 )
= $false )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(311,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV23: $i,SV28: $i,SV40: $i,SV33: $i] :
( ( ( ~ ( r1 @ SV33 @ SV40 )
| ~ ( p3 @ SV40 )
| ~ ( p4 @ SV40 ) )
= $true )
| ( ( r1 @ SV28 @ SV33 )
= $false )
| ( ( r1 @ SV23 @ SV28 )
= $false )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(312,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV29: $i,SV34: $i,SV38: $i] :
( ( ( ~ ! [SY314: $i] :
( ~ ( r1 @ SV38 @ SY314 )
| ( p2 @ SY314 )
| ( p3 @ SY314 ) )
| ~ ! [SY315: $i] :
( ~ ( r1 @ SV38 @ SY315 )
| ~ ( p2 @ SY315 )
| ~ ( p3 @ SY315 ) ) )
= $false )
| ( ( r1 @ SV34 @ SV38 )
= $false )
| ( ( r1 @ SV29 @ SV34 )
= $false )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(313,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV26: $i,SV30: $i,SV41: $i,SV35: $i] :
( ( ( ~ ( r1 @ SV35 @ SV41 )
| ( p1 @ SV41 )
| ( p2 @ SV41 ) )
= $true )
| ( ( r1 @ SV30 @ SV35 )
= $false )
| ( ( r1 @ SV26 @ SV30 )
= $false )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(314,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV26: $i,SV30: $i,SV42: $i,SV35: $i] :
( ( ( ~ ( r1 @ SV35 @ SV42 )
| ~ ( p1 @ SV42 )
| ~ ( p2 @ SV42 ) )
= $true )
| ( ( r1 @ SV30 @ SV35 )
= $false )
| ( ( r1 @ SV26 @ SV30 )
= $false )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(315,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV18: $i,SV22: $i,SV27: $i,SV37: $i] :
( ( ( p4 @ SV37 )
= $false )
| ( ( ~ ( p5 @ SV37 ) )
= $true )
| ( ( r1 @ SV27 @ SV37 )
= $false )
| ( ( r1 @ SV22 @ SV27 )
= $false )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(316,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV23: $i,SV28: $i,SV39: $i,SV33: $i] :
( ( ( ~ ( r1 @ SV33 @ SV39 ) )
= $true )
| ( ( ( p3 @ SV39 )
| ( p4 @ SV39 ) )
= $true )
| ( ( r1 @ SV28 @ SV33 )
= $false )
| ( ( r1 @ SV23 @ SV28 )
= $false )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(317,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV23: $i,SV28: $i,SV40: $i,SV33: $i] :
( ( ( ~ ( r1 @ SV33 @ SV40 ) )
= $true )
| ( ( ~ ( p3 @ SV40 )
| ~ ( p4 @ SV40 ) )
= $true )
| ( ( r1 @ SV28 @ SV33 )
= $false )
| ( ( r1 @ SV23 @ SV28 )
= $false )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(318,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV29: $i,SV34: $i,SV38: $i] :
( ( ( ~ ! [SY314: $i] :
( ~ ( r1 @ SV38 @ SY314 )
| ( p2 @ SY314 )
| ( p3 @ SY314 ) ) )
= $false )
| ( ( r1 @ SV34 @ SV38 )
= $false )
| ( ( r1 @ SV29 @ SV34 )
= $false )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(319,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV29: $i,SV34: $i,SV38: $i] :
( ( ( ~ ! [SY315: $i] :
( ~ ( r1 @ SV38 @ SY315 )
| ~ ( p2 @ SY315 )
| ~ ( p3 @ SY315 ) ) )
= $false )
| ( ( r1 @ SV34 @ SV38 )
= $false )
| ( ( r1 @ SV29 @ SV34 )
= $false )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(320,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV26: $i,SV30: $i,SV41: $i,SV35: $i] :
( ( ( ~ ( r1 @ SV35 @ SV41 ) )
= $true )
| ( ( ( p1 @ SV41 )
| ( p2 @ SV41 ) )
= $true )
| ( ( r1 @ SV30 @ SV35 )
= $false )
| ( ( r1 @ SV26 @ SV30 )
= $false )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(321,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV26: $i,SV30: $i,SV42: $i,SV35: $i] :
( ( ( ~ ( r1 @ SV35 @ SV42 ) )
= $true )
| ( ( ~ ( p1 @ SV42 )
| ~ ( p2 @ SV42 ) )
= $true )
| ( ( r1 @ SV30 @ SV35 )
= $false )
| ( ( r1 @ SV26 @ SV30 )
= $false )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(322,plain,
! [SV2: $i,SV8: $i,SV11: $i,SV14: $i,SV18: $i,SV22: $i,SV27: $i,SV37: $i] :
( ( ( p5 @ SV37 )
= $false )
| ( ( p4 @ SV37 )
= $false )
| ( ( r1 @ SV27 @ SV37 )
= $false )
| ( ( r1 @ SV22 @ SV27 )
= $false )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( r1 @ SV14 @ SV18 )
= $false )
| ( ( r1 @ SV11 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV11 )
= $false )
| ( ( r1 @ SV2 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(323,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV23: $i,SV28: $i,SV39: $i,SV33: $i] :
( ( ( r1 @ SV33 @ SV39 )
= $false )
| ( ( ( p3 @ SV39 )
| ( p4 @ SV39 ) )
= $true )
| ( ( r1 @ SV28 @ SV33 )
= $false )
| ( ( r1 @ SV23 @ SV28 )
= $false )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(324,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV23: $i,SV28: $i,SV40: $i,SV33: $i] :
( ( ( r1 @ SV33 @ SV40 )
= $false )
| ( ( ~ ( p3 @ SV40 )
| ~ ( p4 @ SV40 ) )
= $true )
| ( ( r1 @ SV28 @ SV33 )
= $false )
| ( ( r1 @ SV23 @ SV28 )
= $false )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(325,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV29: $i,SV34: $i,SV38: $i] :
( ( ( ! [SY314: $i] :
( ~ ( r1 @ SV38 @ SY314 )
| ( p2 @ SY314 )
| ( p3 @ SY314 ) ) )
= $true )
| ( ( r1 @ SV34 @ SV38 )
= $false )
| ( ( r1 @ SV29 @ SV34 )
= $false )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(326,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV29: $i,SV34: $i,SV38: $i] :
( ( ( ! [SY315: $i] :
( ~ ( r1 @ SV38 @ SY315 )
| ~ ( p2 @ SY315 )
| ~ ( p3 @ SY315 ) ) )
= $true )
| ( ( r1 @ SV34 @ SV38 )
= $false )
| ( ( r1 @ SV29 @ SV34 )
= $false )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(327,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV26: $i,SV30: $i,SV41: $i,SV35: $i] :
( ( ( r1 @ SV35 @ SV41 )
= $false )
| ( ( ( p1 @ SV41 )
| ( p2 @ SV41 ) )
= $true )
| ( ( r1 @ SV30 @ SV35 )
= $false )
| ( ( r1 @ SV26 @ SV30 )
= $false )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(328,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV26: $i,SV30: $i,SV42: $i,SV35: $i] :
( ( ( r1 @ SV35 @ SV42 )
= $false )
| ( ( ~ ( p1 @ SV42 )
| ~ ( p2 @ SV42 ) )
= $true )
| ( ( r1 @ SV30 @ SV35 )
= $false )
| ( ( r1 @ SV26 @ SV30 )
= $false )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(329,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV23: $i,SV28: $i,SV33: $i,SV39: $i] :
( ( ( p3 @ SV39 )
= $true )
| ( ( p4 @ SV39 )
= $true )
| ( ( r1 @ SV33 @ SV39 )
= $false )
| ( ( r1 @ SV28 @ SV33 )
= $false )
| ( ( r1 @ SV23 @ SV28 )
= $false )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(330,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV23: $i,SV28: $i,SV33: $i,SV40: $i] :
( ( ( ~ ( p3 @ SV40 ) )
= $true )
| ( ( ~ ( p4 @ SV40 ) )
= $true )
| ( ( r1 @ SV33 @ SV40 )
= $false )
| ( ( r1 @ SV28 @ SV33 )
= $false )
| ( ( r1 @ SV23 @ SV28 )
= $false )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(331,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV29: $i,SV34: $i,SV43: $i,SV38: $i] :
( ( ( ~ ( r1 @ SV38 @ SV43 )
| ( p2 @ SV43 )
| ( p3 @ SV43 ) )
= $true )
| ( ( r1 @ SV34 @ SV38 )
= $false )
| ( ( r1 @ SV29 @ SV34 )
= $false )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(332,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV29: $i,SV34: $i,SV44: $i,SV38: $i] :
( ( ( ~ ( r1 @ SV38 @ SV44 )
| ~ ( p2 @ SV44 )
| ~ ( p3 @ SV44 ) )
= $true )
| ( ( r1 @ SV34 @ SV38 )
= $false )
| ( ( r1 @ SV29 @ SV34 )
= $false )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(333,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV26: $i,SV30: $i,SV35: $i,SV41: $i] :
( ( ( p1 @ SV41 )
= $true )
| ( ( p2 @ SV41 )
= $true )
| ( ( r1 @ SV35 @ SV41 )
= $false )
| ( ( r1 @ SV30 @ SV35 )
= $false )
| ( ( r1 @ SV26 @ SV30 )
= $false )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(334,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV26: $i,SV30: $i,SV35: $i,SV42: $i] :
( ( ( ~ ( p1 @ SV42 ) )
= $true )
| ( ( ~ ( p2 @ SV42 ) )
= $true )
| ( ( r1 @ SV35 @ SV42 )
= $false )
| ( ( r1 @ SV30 @ SV35 )
= $false )
| ( ( r1 @ SV26 @ SV30 )
= $false )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(335,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV23: $i,SV28: $i,SV33: $i,SV40: $i] :
( ( ( p3 @ SV40 )
= $false )
| ( ( ~ ( p4 @ SV40 ) )
= $true )
| ( ( r1 @ SV33 @ SV40 )
= $false )
| ( ( r1 @ SV28 @ SV33 )
= $false )
| ( ( r1 @ SV23 @ SV28 )
= $false )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(336,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV29: $i,SV34: $i,SV43: $i,SV38: $i] :
( ( ( ~ ( r1 @ SV38 @ SV43 ) )
= $true )
| ( ( ( p2 @ SV43 )
| ( p3 @ SV43 ) )
= $true )
| ( ( r1 @ SV34 @ SV38 )
= $false )
| ( ( r1 @ SV29 @ SV34 )
= $false )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(337,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV29: $i,SV34: $i,SV44: $i,SV38: $i] :
( ( ( ~ ( r1 @ SV38 @ SV44 ) )
= $true )
| ( ( ~ ( p2 @ SV44 )
| ~ ( p3 @ SV44 ) )
= $true )
| ( ( r1 @ SV34 @ SV38 )
= $false )
| ( ( r1 @ SV29 @ SV34 )
= $false )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(338,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV26: $i,SV30: $i,SV35: $i,SV42: $i] :
( ( ( p1 @ SV42 )
= $false )
| ( ( ~ ( p2 @ SV42 ) )
= $true )
| ( ( r1 @ SV35 @ SV42 )
= $false )
| ( ( r1 @ SV30 @ SV35 )
= $false )
| ( ( r1 @ SV26 @ SV30 )
= $false )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(339,plain,
! [SV2: $i,SV6: $i,SV15: $i,SV19: $i,SV23: $i,SV28: $i,SV33: $i,SV40: $i] :
( ( ( p4 @ SV40 )
= $false )
| ( ( p3 @ SV40 )
= $false )
| ( ( r1 @ SV33 @ SV40 )
= $false )
| ( ( r1 @ SV28 @ SV33 )
= $false )
| ( ( r1 @ SV23 @ SV28 )
= $false )
| ( ( r1 @ SV19 @ SV23 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV6 @ SV15 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(340,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV29: $i,SV34: $i,SV43: $i,SV38: $i] :
( ( ( r1 @ SV38 @ SV43 )
= $false )
| ( ( ( p2 @ SV43 )
| ( p3 @ SV43 ) )
= $true )
| ( ( r1 @ SV34 @ SV38 )
= $false )
| ( ( r1 @ SV29 @ SV34 )
= $false )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(341,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV29: $i,SV34: $i,SV44: $i,SV38: $i] :
( ( ( r1 @ SV38 @ SV44 )
= $false )
| ( ( ~ ( p2 @ SV44 )
| ~ ( p3 @ SV44 ) )
= $true )
| ( ( r1 @ SV34 @ SV38 )
= $false )
| ( ( r1 @ SV29 @ SV34 )
= $false )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(342,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV20: $i,SV26: $i,SV30: $i,SV35: $i,SV42: $i] :
( ( ( p2 @ SV42 )
= $false )
| ( ( p1 @ SV42 )
= $false )
| ( ( r1 @ SV35 @ SV42 )
= $false )
| ( ( r1 @ SV30 @ SV35 )
= $false )
| ( ( r1 @ SV26 @ SV30 )
= $false )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( r1 @ SV12 @ SV20 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(343,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV29: $i,SV34: $i,SV38: $i,SV43: $i] :
( ( ( p2 @ SV43 )
= $true )
| ( ( p3 @ SV43 )
= $true )
| ( ( r1 @ SV38 @ SV43 )
= $false )
| ( ( r1 @ SV34 @ SV38 )
= $false )
| ( ( r1 @ SV29 @ SV34 )
= $false )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(344,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV29: $i,SV34: $i,SV38: $i,SV44: $i] :
( ( ( ~ ( p2 @ SV44 ) )
= $true )
| ( ( ~ ( p3 @ SV44 ) )
= $true )
| ( ( r1 @ SV38 @ SV44 )
= $false )
| ( ( r1 @ SV34 @ SV38 )
= $false )
| ( ( r1 @ SV29 @ SV34 )
= $false )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(345,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV29: $i,SV34: $i,SV38: $i,SV44: $i] :
( ( ( p2 @ SV44 )
= $false )
| ( ( ~ ( p3 @ SV44 ) )
= $true )
| ( ( r1 @ SV38 @ SV44 )
= $false )
| ( ( r1 @ SV34 @ SV38 )
= $false )
| ( ( r1 @ SV29 @ SV34 )
= $false )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(346,plain,
! [SV2: $i,SV6: $i,SV12: $i,SV24: $i,SV29: $i,SV34: $i,SV38: $i,SV44: $i] :
( ( ( p3 @ SV44 )
= $false )
| ( ( p2 @ SV44 )
= $false )
| ( ( r1 @ SV38 @ SV44 )
= $false )
| ( ( r1 @ SV34 @ SV38 )
= $false )
| ( ( r1 @ SV29 @ SV34 )
= $false )
| ( ( r1 @ SV24 @ SV29 )
= $false )
| ( ( r1 @ SV12 @ SV24 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV2 @ SV6 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(347,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,346,343,342,339,333,329,322,308,300,285,269,261,229,228,224,214,183,169,160,156,131,129,116,108,105,103,81,79,67,60,58,56,36,23]) ).
thf(348,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL668+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 07:39:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49
% 0.20/0.49 No.of.Axioms: 1
% 0.20/0.49
% 0.20/0.49 Length.of.Defs: 0
% 0.20/0.49
% 0.20/0.49 Contains.Choice.Funs: false
% 0.20/0.50 .
% 0.38/0.58 (rf:0,axioms:1,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:3,loop_count:0,foatp_calls:0,translation:fof_full)..........................................................................
% 9.19/9.41
% 9.19/9.41 ********************************
% 9.19/9.41 * All subproblems solved! *
% 9.19/9.41 ********************************
% 9.19/9.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,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:347,loop_count:0,foatp_calls:1,translation:fof_full)
% 9.30/9.54
% 9.30/9.54 %**** Beginning of derivation protocol ****
% 9.30/9.54 % SZS output start CNFRefutation
% See solution above
% 9.30/9.55
% 9.30/9.55 %**** End of derivation protocol ****
% 9.30/9.55 %**** no. of clauses in derivation: 348 ****
% 9.30/9.55 %**** clause counter: 347 ****
% 9.30/9.55
% 9.30/9.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,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:347,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------