%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL656+1.005 : 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 : n005.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 12:25:05 EDT 2022
% Result : Theorem 14.43s 14.58s
% Output : CNFRefutation 14.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 96
% Number of leaves : 27
% Syntax : Number of formulae : 675 ( 30 unt; 25 typ; 0 def)
% Number of atoms : 23497 (4203 equ; 0 cnn)
% Maximal formula atoms : 129 ( 36 avg)
% Number of connectives : 71843 (19039 ~;14105 |; 336 &;38363 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 65 ( 65 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 25 usr; 3 con; 0-5 aty)
% Number of variables : 5569 ( 0 ^5565 !; 4 ?;5569 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_p1,type,
p1: $i > $o ).
thf(tp_p100,type,
p100: $i > $o ).
thf(tp_p101,type,
p101: $i > $o ).
thf(tp_p102,type,
p102: $i > $o ).
thf(tp_p103,type,
p103: $i > $o ).
thf(tp_p104,type,
p104: $i > $o ).
thf(tp_p105,type,
p105: $i > $o ).
thf(tp_p106,type,
p106: $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_r1,type,
r1: $i > $i > $o ).
thf(tp_sK10_X,type,
sK10_X: $i > $i > $i > $i > $i > $i ).
thf(tp_sK11_X,type,
sK11_X: $i > $i > $i > $i > $i > $i ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_X,type,
sK2_X: $i > $i > $i > $i > $i > $i ).
thf(tp_sK3_X,type,
sK3_X: $i > $i > $i > $i > $i > $i ).
thf(tp_sK4_X,type,
sK4_X: $i > $i > $i > $i > $i > $i ).
thf(tp_sK5_X,type,
sK5_X: $i > $i > $i > $i > $i > $i ).
thf(tp_sK6_X,type,
sK6_X: $i > $i > $i > $i > $i > $i ).
thf(tp_sK7_X,type,
sK7_X: $i > $i > $i > $i > $i > $i ).
thf(tp_sK8_X,type,
sK8_X: $i > $i > $i > $i > $i > $i ).
thf(tp_sK9_X,type,
sK9_X: $i > $i > $i > $i > $i > $i ).
thf(1,axiom,
! [X: $i] : ( r1 @ X @ X ),
file('/export/starexec/sandbox/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 )
| ( p3 @ 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 )
| ~ ( ~ ( p6 @ X )
& ~ ( p106 @ X )
& ( p105 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p6 @ X )
& ~ ( p106 @ X )
& ( p105 @ X ) ) ) )
| ~ ( ~ ( p105 @ Y )
& ( p104 @ Y ) ) )
& ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p5 @ X )
& ~ ( p105 @ X )
& ( p104 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p5 @ X )
& ~ ( p105 @ X )
& ( p104 @ X ) ) ) )
| ~ ( ~ ( p104 @ Y )
& ( p103 @ Y ) ) )
& ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p4 @ X )
& ~ ( p104 @ X )
& ( p103 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p4 @ X )
& ~ ( p104 @ X )
& ( p103 @ X ) ) ) )
| ~ ( ~ ( p103 @ Y )
& ( p102 @ Y ) ) )
& ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p3 @ X )
& ~ ( p103 @ X )
& ( p102 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p3 @ X )
& ~ ( p103 @ X )
& ( p102 @ X ) ) ) )
| ~ ( ~ ( p102 @ Y )
& ( p101 @ Y ) ) )
& ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) ) ) )
| ~ ( ~ ( p101 @ Y )
& ( p100 @ Y ) ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p6 @ X )
| ~ ( p105 @ X ) )
| ( p6 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p6 @ X )
| ~ ( p105 @ X ) )
| ~ ( p6 @ Y ) ) )
| ~ ( p105 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p5 @ X )
| ~ ( p104 @ X ) )
| ( p5 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p5 @ X )
| ~ ( p104 @ X ) )
| ~ ( p5 @ Y ) ) )
| ~ ( p104 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p4 @ X )
| ~ ( p103 @ X ) )
| ( p4 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X )
| ~ ( p103 @ X ) )
| ~ ( p4 @ Y ) ) )
| ~ ( p103 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p3 @ X )
| ~ ( p102 @ X ) )
| ( p3 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X )
| ~ ( p102 @ X ) )
| ~ ( p3 @ Y ) ) )
| ~ ( p102 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p2 @ X )
| ~ ( p101 @ X ) )
| ( p2 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p2 @ X )
| ~ ( p101 @ X ) )
| ~ ( p2 @ Y ) ) )
| ~ ( p101 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X )
| ~ ( p100 @ X ) )
| ( p1 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X )
| ~ ( p100 @ X ) )
| ~ ( p1 @ Y ) ) )
| ~ ( p100 @ Y ) )
& ( ( p105 @ Y )
| ~ ( p106 @ Y ) )
& ( ( p104 @ Y )
| ~ ( p105 @ Y ) )
& ( ( p103 @ Y )
| ~ ( p104 @ Y ) )
& ( ( p102 @ Y )
| ~ ( p103 @ Y ) )
& ( ( p101 @ Y )
| ~ ( p102 @ Y ) )
& ( ( p100 @ Y )
| ~ ( p101 @ Y ) ) ) ) ) ) ) )
& ~ ( p101 @ X )
& ( p100 @ X ) ) ),
file('/export/starexec/sandbox/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 )
| ( p3 @ 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 )
| ~ ( ~ ( p6 @ X )
& ~ ( p106 @ X )
& ( p105 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p6 @ X )
& ~ ( p106 @ X )
& ( p105 @ X ) ) ) )
| ~ ( ~ ( p105 @ Y )
& ( p104 @ Y ) ) )
& ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p5 @ X )
& ~ ( p105 @ X )
& ( p104 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p5 @ X )
& ~ ( p105 @ X )
& ( p104 @ X ) ) ) )
| ~ ( ~ ( p104 @ Y )
& ( p103 @ Y ) ) )
& ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p4 @ X )
& ~ ( p104 @ X )
& ( p103 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p4 @ X )
& ~ ( p104 @ X )
& ( p103 @ X ) ) ) )
| ~ ( ~ ( p103 @ Y )
& ( p102 @ Y ) ) )
& ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p3 @ X )
& ~ ( p103 @ X )
& ( p102 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p3 @ X )
& ~ ( p103 @ X )
& ( p102 @ X ) ) ) )
| ~ ( ~ ( p102 @ Y )
& ( p101 @ Y ) ) )
& ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) ) ) )
| ~ ( ~ ( p101 @ Y )
& ( p100 @ Y ) ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p6 @ X )
| ~ ( p105 @ X ) )
| ( p6 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p6 @ X )
| ~ ( p105 @ X ) )
| ~ ( p6 @ Y ) ) )
| ~ ( p105 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p5 @ X )
| ~ ( p104 @ X ) )
| ( p5 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p5 @ X )
| ~ ( p104 @ X ) )
| ~ ( p5 @ Y ) ) )
| ~ ( p104 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p4 @ X )
| ~ ( p103 @ X ) )
| ( p4 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X )
| ~ ( p103 @ X ) )
| ~ ( p4 @ Y ) ) )
| ~ ( p103 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p3 @ X )
| ~ ( p102 @ X ) )
| ( p3 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X )
| ~ ( p102 @ X ) )
| ~ ( p3 @ Y ) ) )
| ~ ( p102 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p2 @ X )
| ~ ( p101 @ X ) )
| ( p2 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p2 @ X )
| ~ ( p101 @ X ) )
| ~ ( p2 @ Y ) ) )
| ~ ( p101 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X )
| ~ ( p100 @ X ) )
| ( p1 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X )
| ~ ( p100 @ X ) )
| ~ ( p1 @ Y ) ) )
| ~ ( p100 @ Y ) )
& ( ( p105 @ Y )
| ~ ( p106 @ Y ) )
& ( ( p104 @ Y )
| ~ ( p105 @ Y ) )
& ( ( p103 @ Y )
| ~ ( p104 @ Y ) )
& ( ( p102 @ Y )
| ~ ( p103 @ Y ) )
& ( ( p101 @ Y )
| ~ ( p102 @ Y ) )
& ( ( p100 @ Y )
| ~ ( p101 @ Y ) ) ) ) ) ) ) )
& ~ ( p101 @ X )
& ( p100 @ 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 )
| ( p3 @ 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 )
| ~ ( ~ ( p6 @ X )
& ~ ( p106 @ X )
& ( p105 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p6 @ X )
& ~ ( p106 @ X )
& ( p105 @ X ) ) ) )
| ~ ( ~ ( p105 @ Y )
& ( p104 @ Y ) ) )
& ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p5 @ X )
& ~ ( p105 @ X )
& ( p104 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p5 @ X )
& ~ ( p105 @ X )
& ( p104 @ X ) ) ) )
| ~ ( ~ ( p104 @ Y )
& ( p103 @ Y ) ) )
& ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p4 @ X )
& ~ ( p104 @ X )
& ( p103 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p4 @ X )
& ~ ( p104 @ X )
& ( p103 @ X ) ) ) )
| ~ ( ~ ( p103 @ Y )
& ( p102 @ Y ) ) )
& ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p3 @ X )
& ~ ( p103 @ X )
& ( p102 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p3 @ X )
& ~ ( p103 @ X )
& ( p102 @ X ) ) ) )
| ~ ( ~ ( p102 @ Y )
& ( p101 @ Y ) ) )
& ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) ) ) )
| ~ ( ~ ( p101 @ Y )
& ( p100 @ Y ) ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p6 @ X )
| ~ ( p105 @ X ) )
| ( p6 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p6 @ X )
| ~ ( p105 @ X ) )
| ~ ( p6 @ Y ) ) )
| ~ ( p105 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p5 @ X )
| ~ ( p104 @ X ) )
| ( p5 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p5 @ X )
| ~ ( p104 @ X ) )
| ~ ( p5 @ Y ) ) )
| ~ ( p104 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p4 @ X )
| ~ ( p103 @ X ) )
| ( p4 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X )
| ~ ( p103 @ X ) )
| ~ ( p4 @ Y ) ) )
| ~ ( p103 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p3 @ X )
| ~ ( p102 @ X ) )
| ( p3 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X )
| ~ ( p102 @ X ) )
| ~ ( p3 @ Y ) ) )
| ~ ( p102 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p2 @ X )
| ~ ( p101 @ X ) )
| ( p2 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p2 @ X )
| ~ ( p101 @ X ) )
| ~ ( p2 @ Y ) ) )
| ~ ( p101 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X )
| ~ ( p100 @ X ) )
| ( p1 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X )
| ~ ( p100 @ X ) )
| ~ ( p1 @ Y ) ) )
| ~ ( p100 @ Y ) )
& ( ( p105 @ Y )
| ~ ( p106 @ Y ) )
& ( ( p104 @ Y )
| ~ ( p105 @ Y ) )
& ( ( p103 @ Y )
| ~ ( p104 @ Y ) )
& ( ( p102 @ Y )
| ~ ( p103 @ Y ) )
& ( ( p101 @ Y )
| ~ ( p102 @ Y ) )
& ( ( p100 @ Y )
| ~ ( p101 @ Y ) ) ) ) ) ) ) )
& ~ ( p101 @ X )
& ( p100 @ 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 )
| ( p3 @ 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 )
| ~ ( ~ ( p6 @ X )
& ~ ( p106 @ X )
& ( p105 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p6 @ X )
& ~ ( p106 @ X )
& ( p105 @ X ) ) ) )
| ~ ( ~ ( p105 @ Y )
& ( p104 @ Y ) ) )
& ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p5 @ X )
& ~ ( p105 @ X )
& ( p104 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p5 @ X )
& ~ ( p105 @ X )
& ( p104 @ X ) ) ) )
| ~ ( ~ ( p104 @ Y )
& ( p103 @ Y ) ) )
& ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p4 @ X )
& ~ ( p104 @ X )
& ( p103 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p4 @ X )
& ~ ( p104 @ X )
& ( p103 @ X ) ) ) )
| ~ ( ~ ( p103 @ Y )
& ( p102 @ Y ) ) )
& ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p3 @ X )
& ~ ( p103 @ X )
& ( p102 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p3 @ X )
& ~ ( p103 @ X )
& ( p102 @ X ) ) ) )
| ~ ( ~ ( p102 @ Y )
& ( p101 @ Y ) ) )
& ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) ) ) )
| ~ ( ~ ( p101 @ Y )
& ( p100 @ Y ) ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p6 @ X )
| ~ ( p105 @ X ) )
| ( p6 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p6 @ X )
| ~ ( p105 @ X ) )
| ~ ( p6 @ Y ) ) )
| ~ ( p105 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p5 @ X )
| ~ ( p104 @ X ) )
| ( p5 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p5 @ X )
| ~ ( p104 @ X ) )
| ~ ( p5 @ Y ) ) )
| ~ ( p104 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p4 @ X )
| ~ ( p103 @ X ) )
| ( p4 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X )
| ~ ( p103 @ X ) )
| ~ ( p4 @ Y ) ) )
| ~ ( p103 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p3 @ X )
| ~ ( p102 @ X ) )
| ( p3 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X )
| ~ ( p102 @ X ) )
| ~ ( p3 @ Y ) ) )
| ~ ( p102 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p2 @ X )
| ~ ( p101 @ X ) )
| ( p2 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p2 @ X )
| ~ ( p101 @ X ) )
| ~ ( p2 @ Y ) ) )
| ~ ( p101 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X )
| ~ ( p100 @ X ) )
| ( p1 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X )
| ~ ( p100 @ X ) )
| ~ ( p1 @ Y ) ) )
| ~ ( p100 @ Y ) )
& ( ( p105 @ Y )
| ~ ( p106 @ Y ) )
& ( ( p104 @ Y )
| ~ ( p105 @ Y ) )
& ( ( p103 @ Y )
| ~ ( p104 @ Y ) )
& ( ( p102 @ Y )
| ~ ( p103 @ Y ) )
& ( ( p101 @ Y )
| ~ ( p102 @ Y ) )
& ( ( p100 @ Y )
| ~ ( p101 @ Y ) ) ) ) ) ) ) )
& ~ ( p101 @ X )
& ( p100 @ X ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ! [SY34: $i] :
( ~ ( r1 @ sK1_X @ SY34 )
| ! [X: $i] :
( ~ ( r1 @ SY34 @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) ) ) ) ) )
& ! [SY39: $i] :
( ~ ( r1 @ sK1_X @ SY39 )
| ! [X: $i] :
( ~ ( r1 @ SY39 @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK11_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p6 @ ( sK11_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p106 @ ( sK11_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p105 @ ( sK11_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p105 @ Y )
| ~ ( p104 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK10_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p6 @ ( sK10_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p106 @ ( sK10_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p105 @ ( sK10_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p105 @ Y )
| ~ ( p104 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK9_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p5 @ ( sK9_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p105 @ ( sK9_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p104 @ ( sK9_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p104 @ Y )
| ~ ( p103 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK8_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p5 @ ( sK8_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p105 @ ( sK8_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p104 @ ( sK8_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p104 @ Y )
| ~ ( p103 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK7_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p4 @ ( sK7_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p104 @ ( sK7_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p103 @ ( sK7_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p103 @ Y )
| ~ ( p102 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK6_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p4 @ ( sK6_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p104 @ ( sK6_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p103 @ ( sK6_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p103 @ Y )
| ~ ( p102 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK5_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p3 @ ( sK5_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p103 @ ( sK5_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p102 @ ( sK5_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p102 @ Y )
| ~ ( p101 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK4_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p3 @ ( sK4_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p103 @ ( sK4_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p102 @ ( sK4_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p102 @ Y )
| ~ ( p101 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK3_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p2 @ ( sK3_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p102 @ ( sK3_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p101 @ ( sK3_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p101 @ Y )
| ~ ( p100 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK2_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p2 @ ( sK2_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p102 @ ( sK2_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p101 @ ( sK2_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p101 @ Y )
| ~ ( p100 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p6 @ X )
| ~ ( p105 @ X ) )
| ( p6 @ Y )
| ~ ( p105 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p6 @ X )
| ~ ( p105 @ X ) )
| ~ ( p6 @ Y )
| ~ ( p105 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p5 @ X )
| ~ ( p104 @ X ) )
| ( p5 @ Y )
| ~ ( p104 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p5 @ X )
| ~ ( p104 @ X ) )
| ~ ( p5 @ Y )
| ~ ( p104 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p4 @ X )
| ~ ( p103 @ X ) )
| ( p4 @ Y )
| ~ ( p103 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X )
| ~ ( p103 @ X ) )
| ~ ( p4 @ Y )
| ~ ( p103 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p3 @ X )
| ~ ( p102 @ X ) )
| ( p3 @ Y )
| ~ ( p102 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X )
| ~ ( p102 @ X ) )
| ~ ( p3 @ Y )
| ~ ( p102 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p2 @ X )
| ~ ( p101 @ X ) )
| ( p2 @ Y )
| ~ ( p101 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p2 @ X )
| ~ ( p101 @ X ) )
| ~ ( p2 @ Y )
| ~ ( p101 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X )
| ~ ( p100 @ X ) )
| ( p1 @ Y )
| ~ ( p100 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X )
| ~ ( p100 @ X ) )
| ~ ( p1 @ Y )
| ~ ( p100 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p105 @ Y )
| ~ ( p106 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p104 @ Y )
| ~ ( p105 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p103 @ Y )
| ~ ( p104 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p102 @ Y )
| ~ ( p103 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p101 @ Y )
| ~ ( p102 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p100 @ Y )
| ~ ( p101 @ Y ) ) ) ) ) ) )
& ~ ( p101 @ sK1_X )
& ( p100 @ sK1_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,
( ( ! [SY34: $i] :
( ~ ( r1 @ sK1_X @ SY34 )
| ! [X: $i] :
( ~ ( r1 @ SY34 @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) ) ) ) ) )
& ! [SY39: $i] :
( ~ ( r1 @ sK1_X @ SY39 )
| ! [X: $i] :
( ~ ( r1 @ SY39 @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK11_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p6 @ ( sK11_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p106 @ ( sK11_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p105 @ ( sK11_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p105 @ Y )
| ~ ( p104 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK10_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p6 @ ( sK10_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p106 @ ( sK10_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p105 @ ( sK10_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p105 @ Y )
| ~ ( p104 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK9_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p5 @ ( sK9_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p105 @ ( sK9_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p104 @ ( sK9_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p104 @ Y )
| ~ ( p103 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK8_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p5 @ ( sK8_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p105 @ ( sK8_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p104 @ ( sK8_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p104 @ Y )
| ~ ( p103 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK7_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p4 @ ( sK7_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p104 @ ( sK7_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p103 @ ( sK7_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p103 @ Y )
| ~ ( p102 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK6_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p4 @ ( sK6_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p104 @ ( sK6_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p103 @ ( sK6_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p103 @ Y )
| ~ ( p102 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK5_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p3 @ ( sK5_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p103 @ ( sK5_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p102 @ ( sK5_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p102 @ Y )
| ~ ( p101 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK4_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p3 @ ( sK4_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p103 @ ( sK4_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p102 @ ( sK4_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p102 @ Y )
| ~ ( p101 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK3_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p2 @ ( sK3_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p102 @ ( sK3_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p101 @ ( sK3_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p101 @ Y )
| ~ ( p100 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK2_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p2 @ ( sK2_X @ Y @ X @ Y @ X @ SY39 ) )
& ~ ( p102 @ ( sK2_X @ Y @ X @ Y @ X @ SY39 ) )
& ( p101 @ ( sK2_X @ Y @ X @ Y @ X @ SY39 ) ) )
| ( p101 @ Y )
| ~ ( p100 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p6 @ X )
| ~ ( p105 @ X ) )
| ( p6 @ Y )
| ~ ( p105 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p6 @ X )
| ~ ( p105 @ X ) )
| ~ ( p6 @ Y )
| ~ ( p105 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p5 @ X )
| ~ ( p104 @ X ) )
| ( p5 @ Y )
| ~ ( p104 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p5 @ X )
| ~ ( p104 @ X ) )
| ~ ( p5 @ Y )
| ~ ( p104 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p4 @ X )
| ~ ( p103 @ X ) )
| ( p4 @ Y )
| ~ ( p103 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X )
| ~ ( p103 @ X ) )
| ~ ( p4 @ Y )
| ~ ( p103 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p3 @ X )
| ~ ( p102 @ X ) )
| ( p3 @ Y )
| ~ ( p102 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X )
| ~ ( p102 @ X ) )
| ~ ( p3 @ Y )
| ~ ( p102 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p2 @ X )
| ~ ( p101 @ X ) )
| ( p2 @ Y )
| ~ ( p101 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p2 @ X )
| ~ ( p101 @ X ) )
| ~ ( p2 @ Y )
| ~ ( p101 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X )
| ~ ( p100 @ X ) )
| ( p1 @ Y )
| ~ ( p100 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X )
| ~ ( p100 @ X ) )
| ~ ( p1 @ Y )
| ~ ( p100 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p105 @ Y )
| ~ ( p106 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p104 @ Y )
| ~ ( p105 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p103 @ Y )
| ~ ( p104 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p102 @ Y )
| ~ ( p103 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p101 @ Y )
| ~ ( p102 @ Y ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p100 @ Y )
| ~ ( p101 @ Y ) ) ) ) ) ) )
& ~ ( p101 @ sK1_X )
& ( p100 @ sK1_X ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(10,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 )
| ( p3 @ SX4 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [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 )
| ~ ( ~ ( r1 @ SX4 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p105 @ SX4 )
| ~ ( p106 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p104 @ SX4 )
| ~ ( p105 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p103 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p102 @ SX4 )
| ~ ( p103 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p101 @ SX4 )
| ~ ( p102 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p100 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) ) ) ) )
| ~ ~ ( p101 @ sK1_X ) )
| ~ ( p100 @ sK1_X ) ) ) )
= $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,
( ( ~ ! [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 )
| ( p3 @ SX4 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [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 )
| ~ ( ~ ( r1 @ SX4 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p105 @ SX4 )
| ~ ( p106 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p104 @ SX4 )
| ~ ( p105 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p103 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p102 @ SX4 )
| ~ ( p103 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p101 @ SX4 )
| ~ ( p102 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p100 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) ) ) ) )
| ~ ~ ( p101 @ sK1_X ) )
| ~ ( p100 @ sK1_X ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(13,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 )
| ( p3 @ SX4 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,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 )
| ~ ( ~ ( r1 @ SX4 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p105 @ SX4 )
| ~ ( p106 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p104 @ SX4 )
| ~ ( p105 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p103 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p102 @ SX4 )
| ~ ( p103 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p101 @ SX4 )
| ~ ( p102 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p100 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) ) ) ) )
| ~ ~ ( p101 @ sK1_X ) )
| ~ ( p100 @ sK1_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,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 )
| ( p3 @ SX4 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,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 )
| ~ ( ~ ( r1 @ SX4 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p105 @ SX4 )
| ~ ( p106 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p104 @ SX4 )
| ~ ( p105 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p103 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p102 @ SX4 )
| ~ ( p103 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p101 @ SX4 )
| ~ ( p102 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p100 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) ) ) ) )
| ~ ~ ( p101 @ sK1_X ) )
| ~ ( p100 @ sK1_X ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
! [SV2: $i] :
( ( ~ ( r1 @ sK1_X @ SV2 )
| ! [SY93: $i] :
( ~ ( r1 @ SV2 @ SY93 )
| ! [SX2: $i] :
( ~ ( r1 @ SY93 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(18,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 )
| ~ ( ~ ( r1 @ SX4 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p105 @ SX4 )
| ~ ( p106 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p104 @ SX4 )
| ~ ( p105 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p103 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p102 @ SX4 )
| ~ ( p103 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p101 @ SX4 )
| ~ ( p102 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p100 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) ) ) ) )
| ~ ~ ( p101 @ sK1_X ) )
| ~ ( p100 @ sK1_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
! [SV2: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV2 ) )
= $true )
| ( ( ! [SY93: $i] :
( ~ ( r1 @ SV2 @ SY93 )
| ! [SX2: $i] :
( ~ ( r1 @ SY93 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(20,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 )
| ~ ( ~ ( r1 @ SX4 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p105 @ SX4 )
| ~ ( p106 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p104 @ SX4 )
| ~ ( p105 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p103 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p102 @ SX4 )
| ~ ( p103 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p101 @ SX4 )
| ~ ( p102 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p100 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) ) ) ) )
| ~ ~ ( p101 @ sK1_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(21,plain,
( ( ~ ( p100 @ sK1_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV2: $i] :
( ( ( r1 @ sK1_X @ SV2 )
= $false )
| ( ( ! [SY93: $i] :
( ~ ( r1 @ SV2 @ SY93 )
| ! [SX2: $i] :
( ~ ( r1 @ SY93 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,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 )
| ~ ( ~ ( r1 @ SX4 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p105 @ SX4 )
| ~ ( p106 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p104 @ SX4 )
| ~ ( p105 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p103 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p102 @ SX4 )
| ~ ( p103 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p101 @ SX4 )
| ~ ( p102 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p100 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) ) ) ) )
| ~ ~ ( p101 @ sK1_X ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(24,plain,
( ( p100 @ sK1_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(25,plain,
! [SV3: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV3 )
| ! [SY97: $i] :
( ~ ( r1 @ SV3 @ SY97 )
| ! [SX3: $i] :
( ~ ( r1 @ SY97 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
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 )
| ~ ( ~ ( r1 @ SX4 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p105 @ SX4 )
| ~ ( p106 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p104 @ SX4 )
| ~ ( p105 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p103 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p102 @ SX4 )
| ~ ( p103 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p101 @ SX4 )
| ~ ( p102 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p100 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) ) ) ) )
| ~ ~ ( p101 @ sK1_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV3: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV3 ) )
= $true )
| ( ( ! [SY97: $i] :
( ~ ( r1 @ SV3 @ SY97 )
| ! [SX3: $i] :
( ~ ( r1 @ SY97 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(28,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 )
| ~ ( ~ ( r1 @ SX4 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p105 @ SX4 )
| ~ ( p106 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p104 @ SX4 )
| ~ ( p105 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p103 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p102 @ SX4 )
| ~ ( p103 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p101 @ SX4 )
| ~ ( p102 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p100 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(29,plain,
( ( ~ ~ ( p101 @ sK1_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV3: $i,SV2: $i] :
( ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( ! [SY97: $i] :
( ~ ( r1 @ SV3 @ SY97 )
| ! [SX3: $i] :
( ~ ( r1 @ SY97 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(31,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 )
| ~ ( ~ ( r1 @ SX4 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK11_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p106 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p105 @ ( sK10_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p105 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK9_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p105 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p104 @ ( sK8_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p104 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK7_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p104 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p103 @ ( sK6_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p103 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK5_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p103 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p102 @ ( sK4_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p102 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK3_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( r1 @ SX4 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) )
| ~ ~ ( p102 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) )
| ~ ( p101 @ ( sK2_X @ SX4 @ SX3 @ SX4 @ SX3 @ SX0 ) ) ) )
| ( p101 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p105 @ SX4 )
| ~ ( p106 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p104 @ SX4 )
| ~ ( p105 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p103 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p102 @ SX4 )
| ~ ( p103 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p101 @ SX4 )
| ~ ( p102 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p100 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(32,plain,
( ( ~ ( p101 @ sK1_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(33,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ SV4 )
| ! [SY100: $i] :
( ~ ( r1 @ SV4 @ SY100 )
| ! [SX4: $i] :
( ~ ( r1 @ SY100 @ SX4 )
| ( p3 @ SX4 ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV5: $i] :
( ( ~ ( r1 @ sK1_X @ SV5 )
| ! [SY102: $i] :
( ~ ( r1 @ SV5 @ SY102 )
| ! [SY103: $i] :
( ~ ( r1 @ SY102 @ SY103 )
| ! [SY104: $i] :
( ~ ( r1 @ SY103 @ SY104 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY105: $i] :
( ~ ( r1 @ SY104 @ SY105 )
| ~ ( ~ ( r1 @ SY105 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) ) ) )
| ( p105 @ SY105 )
| ~ ( p104 @ SY105 ) )
| ~ ! [SY106: $i] :
( ~ ( r1 @ SY104 @ SY106 )
| ~ ( ~ ( r1 @ SY106 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) ) ) )
| ( p105 @ SY106 )
| ~ ( p104 @ SY106 ) ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ~ ( r1 @ SY104 @ SY107 )
| ~ ( ~ ( r1 @ SY107 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) ) ) )
| ( p104 @ SY107 )
| ~ ( p103 @ SY107 ) )
| ~ ! [SY108: $i] :
( ~ ( r1 @ SY104 @ SY108 )
| ~ ( ~ ( r1 @ SY108 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) ) ) )
| ( p104 @ SY108 )
| ~ ( p103 @ SY108 ) ) ) )
| ~ ~ ( ~ ! [SY109: $i] :
( ~ ( r1 @ SY104 @ SY109 )
| ~ ( ~ ( r1 @ SY109 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) ) ) )
| ( p103 @ SY109 )
| ~ ( p102 @ SY109 ) )
| ~ ! [SY110: $i] :
( ~ ( r1 @ SY104 @ SY110 )
| ~ ( ~ ( r1 @ SY110 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) ) ) )
| ( p103 @ SY110 )
| ~ ( p102 @ SY110 ) ) ) )
| ~ ~ ( ~ ! [SY111: $i] :
( ~ ( r1 @ SY104 @ SY111 )
| ~ ( ~ ( r1 @ SY111 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) ) ) )
| ( p102 @ SY111 )
| ~ ( p101 @ SY111 ) )
| ~ ! [SY112: $i] :
( ~ ( r1 @ SY104 @ SY112 )
| ~ ( ~ ( r1 @ SY112 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) ) ) )
| ( p102 @ SY112 )
| ~ ( p101 @ SY112 ) ) ) )
| ~ ~ ( ~ ! [SY113: $i] :
( ~ ( r1 @ SY104 @ SY113 )
| ~ ( ~ ( r1 @ SY113 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) ) ) )
| ( p101 @ SY113 )
| ~ ( p100 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SY104 @ SY114 )
| ~ ( ~ ( r1 @ SY114 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) ) ) )
| ( p101 @ SY114 )
| ~ ( p100 @ SY114 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p105 @ SX4 )
| ~ ( p106 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p104 @ SX4 )
| ~ ( p105 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p103 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p102 @ SX4 )
| ~ ( p103 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p101 @ SX4 )
| ~ ( p102 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p100 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(35,plain,
( ( p101 @ sK1_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ SV4 ) )
= $true )
| ( ( ! [SY100: $i] :
( ~ ( r1 @ SV4 @ SY100 )
| ! [SX4: $i] :
( ~ ( r1 @ SY100 @ SX4 )
| ( p3 @ SX4 ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(37,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV5 ) )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( r1 @ SV5 @ SY102 )
| ! [SY103: $i] :
( ~ ( r1 @ SY102 @ SY103 )
| ! [SY104: $i] :
( ~ ( r1 @ SY103 @ SY104 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY105: $i] :
( ~ ( r1 @ SY104 @ SY105 )
| ~ ( ~ ( r1 @ SY105 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) ) ) )
| ( p105 @ SY105 )
| ~ ( p104 @ SY105 ) )
| ~ ! [SY106: $i] :
( ~ ( r1 @ SY104 @ SY106 )
| ~ ( ~ ( r1 @ SY106 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) ) ) )
| ( p105 @ SY106 )
| ~ ( p104 @ SY106 ) ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ~ ( r1 @ SY104 @ SY107 )
| ~ ( ~ ( r1 @ SY107 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) ) ) )
| ( p104 @ SY107 )
| ~ ( p103 @ SY107 ) )
| ~ ! [SY108: $i] :
( ~ ( r1 @ SY104 @ SY108 )
| ~ ( ~ ( r1 @ SY108 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) ) ) )
| ( p104 @ SY108 )
| ~ ( p103 @ SY108 ) ) ) )
| ~ ~ ( ~ ! [SY109: $i] :
( ~ ( r1 @ SY104 @ SY109 )
| ~ ( ~ ( r1 @ SY109 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) ) ) )
| ( p103 @ SY109 )
| ~ ( p102 @ SY109 ) )
| ~ ! [SY110: $i] :
( ~ ( r1 @ SY104 @ SY110 )
| ~ ( ~ ( r1 @ SY110 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) ) ) )
| ( p103 @ SY110 )
| ~ ( p102 @ SY110 ) ) ) )
| ~ ~ ( ~ ! [SY111: $i] :
( ~ ( r1 @ SY104 @ SY111 )
| ~ ( ~ ( r1 @ SY111 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) ) ) )
| ( p102 @ SY111 )
| ~ ( p101 @ SY111 ) )
| ~ ! [SY112: $i] :
( ~ ( r1 @ SY104 @ SY112 )
| ~ ( ~ ( r1 @ SY112 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) ) ) )
| ( p102 @ SY112 )
| ~ ( p101 @ SY112 ) ) ) )
| ~ ~ ( ~ ! [SY113: $i] :
( ~ ( r1 @ SY104 @ SY113 )
| ~ ( ~ ( r1 @ SY113 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) ) ) )
| ( p101 @ SY113 )
| ~ ( p100 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SY104 @ SY114 )
| ~ ( ~ ( r1 @ SY114 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) ) ) )
| ( p101 @ SY114 )
| ~ ( p100 @ SY114 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p105 @ SX4 )
| ~ ( p106 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p104 @ SX4 )
| ~ ( p105 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p103 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p102 @ SX4 )
| ~ ( p103 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p101 @ SX4 )
| ~ ( p102 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p100 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ( r1 @ SV3 @ SV4 )
= $false )
| ( ( ! [SY100: $i] :
( ~ ( r1 @ SV4 @ SY100 )
| ! [SX4: $i] :
( ~ ( r1 @ SY100 @ SX4 )
| ( p3 @ SX4 ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(39,plain,
! [SV5: $i] :
( ( ( r1 @ sK1_X @ SV5 )
= $false )
| ( ( ! [SY102: $i] :
( ~ ( r1 @ SV5 @ SY102 )
| ! [SY103: $i] :
( ~ ( r1 @ SY102 @ SY103 )
| ! [SY104: $i] :
( ~ ( r1 @ SY103 @ SY104 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY105: $i] :
( ~ ( r1 @ SY104 @ SY105 )
| ~ ( ~ ( r1 @ SY105 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) ) ) )
| ( p105 @ SY105 )
| ~ ( p104 @ SY105 ) )
| ~ ! [SY106: $i] :
( ~ ( r1 @ SY104 @ SY106 )
| ~ ( ~ ( r1 @ SY106 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) ) ) )
| ( p105 @ SY106 )
| ~ ( p104 @ SY106 ) ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ~ ( r1 @ SY104 @ SY107 )
| ~ ( ~ ( r1 @ SY107 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) ) ) )
| ( p104 @ SY107 )
| ~ ( p103 @ SY107 ) )
| ~ ! [SY108: $i] :
( ~ ( r1 @ SY104 @ SY108 )
| ~ ( ~ ( r1 @ SY108 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) ) ) )
| ( p104 @ SY108 )
| ~ ( p103 @ SY108 ) ) ) )
| ~ ~ ( ~ ! [SY109: $i] :
( ~ ( r1 @ SY104 @ SY109 )
| ~ ( ~ ( r1 @ SY109 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) ) ) )
| ( p103 @ SY109 )
| ~ ( p102 @ SY109 ) )
| ~ ! [SY110: $i] :
( ~ ( r1 @ SY104 @ SY110 )
| ~ ( ~ ( r1 @ SY110 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) ) ) )
| ( p103 @ SY110 )
| ~ ( p102 @ SY110 ) ) ) )
| ~ ~ ( ~ ! [SY111: $i] :
( ~ ( r1 @ SY104 @ SY111 )
| ~ ( ~ ( r1 @ SY111 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) ) ) )
| ( p102 @ SY111 )
| ~ ( p101 @ SY111 ) )
| ~ ! [SY112: $i] :
( ~ ( r1 @ SY104 @ SY112 )
| ~ ( ~ ( r1 @ SY112 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) ) ) )
| ( p102 @ SY112 )
| ~ ( p101 @ SY112 ) ) ) )
| ~ ~ ( ~ ! [SY113: $i] :
( ~ ( r1 @ SY104 @ SY113 )
| ~ ( ~ ( r1 @ SY113 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) ) ) )
| ( p101 @ SY113 )
| ~ ( p100 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SY104 @ SY114 )
| ~ ( ~ ( r1 @ SY114 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) ) ) )
| ( p101 @ SY114 )
| ~ ( p100 @ SY114 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p105 @ SX4 )
| ~ ( p106 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p104 @ SX4 )
| ~ ( p105 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p103 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p102 @ SX4 )
| ~ ( p103 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p101 @ SX4 )
| ~ ( p102 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p100 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(40,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV6 )
| ! [SY145: $i] :
( ~ ( r1 @ SV6 @ SY145 )
| ( p3 @ SY145 ) ) )
= $true )
| ( ( r1 @ SV3 @ SV4 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(41,plain,
! [SV7: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV7 )
| ! [SY146: $i] :
( ~ ( r1 @ SV7 @ SY146 )
| ! [SY104: $i] :
( ~ ( r1 @ SY146 @ SY104 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY105: $i] :
( ~ ( r1 @ SY104 @ SY105 )
| ~ ( ~ ( r1 @ SY105 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) ) ) )
| ( p105 @ SY105 )
| ~ ( p104 @ SY105 ) )
| ~ ! [SY106: $i] :
( ~ ( r1 @ SY104 @ SY106 )
| ~ ( ~ ( r1 @ SY106 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) ) ) )
| ( p105 @ SY106 )
| ~ ( p104 @ SY106 ) ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ~ ( r1 @ SY104 @ SY107 )
| ~ ( ~ ( r1 @ SY107 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) ) ) )
| ( p104 @ SY107 )
| ~ ( p103 @ SY107 ) )
| ~ ! [SY108: $i] :
( ~ ( r1 @ SY104 @ SY108 )
| ~ ( ~ ( r1 @ SY108 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) ) ) )
| ( p104 @ SY108 )
| ~ ( p103 @ SY108 ) ) ) )
| ~ ~ ( ~ ! [SY109: $i] :
( ~ ( r1 @ SY104 @ SY109 )
| ~ ( ~ ( r1 @ SY109 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) ) ) )
| ( p103 @ SY109 )
| ~ ( p102 @ SY109 ) )
| ~ ! [SY110: $i] :
( ~ ( r1 @ SY104 @ SY110 )
| ~ ( ~ ( r1 @ SY110 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) ) ) )
| ( p103 @ SY110 )
| ~ ( p102 @ SY110 ) ) ) )
| ~ ~ ( ~ ! [SY111: $i] :
( ~ ( r1 @ SY104 @ SY111 )
| ~ ( ~ ( r1 @ SY111 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) ) ) )
| ( p102 @ SY111 )
| ~ ( p101 @ SY111 ) )
| ~ ! [SY112: $i] :
( ~ ( r1 @ SY104 @ SY112 )
| ~ ( ~ ( r1 @ SY112 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) ) ) )
| ( p102 @ SY112 )
| ~ ( p101 @ SY112 ) ) ) )
| ~ ~ ( ~ ! [SY113: $i] :
( ~ ( r1 @ SY104 @ SY113 )
| ~ ( ~ ( r1 @ SY113 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) ) ) )
| ( p101 @ SY113 )
| ~ ( p100 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SY104 @ SY114 )
| ~ ( ~ ( r1 @ SY114 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) ) ) )
| ( p101 @ SY114 )
| ~ ( p100 @ SY114 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p105 @ SX4 )
| ~ ( p106 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p104 @ SX4 )
| ~ ( p105 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p103 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p102 @ SX4 )
| ~ ( p103 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p101 @ SX4 )
| ~ ( p102 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p100 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(42,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV6 ) )
= $true )
| ( ( ! [SY145: $i] :
( ~ ( r1 @ SV6 @ SY145 )
| ( p3 @ SY145 ) ) )
= $true )
| ( ( r1 @ SV3 @ SV4 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(43,plain,
! [SV7: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV7 ) )
= $true )
| ( ( ! [SY146: $i] :
( ~ ( r1 @ SV7 @ SY146 )
| ! [SY104: $i] :
( ~ ( r1 @ SY146 @ SY104 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY105: $i] :
( ~ ( r1 @ SY104 @ SY105 )
| ~ ( ~ ( r1 @ SY105 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) ) ) )
| ( p105 @ SY105 )
| ~ ( p104 @ SY105 ) )
| ~ ! [SY106: $i] :
( ~ ( r1 @ SY104 @ SY106 )
| ~ ( ~ ( r1 @ SY106 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) ) ) )
| ( p105 @ SY106 )
| ~ ( p104 @ SY106 ) ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ~ ( r1 @ SY104 @ SY107 )
| ~ ( ~ ( r1 @ SY107 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) ) ) )
| ( p104 @ SY107 )
| ~ ( p103 @ SY107 ) )
| ~ ! [SY108: $i] :
( ~ ( r1 @ SY104 @ SY108 )
| ~ ( ~ ( r1 @ SY108 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) ) ) )
| ( p104 @ SY108 )
| ~ ( p103 @ SY108 ) ) ) )
| ~ ~ ( ~ ! [SY109: $i] :
( ~ ( r1 @ SY104 @ SY109 )
| ~ ( ~ ( r1 @ SY109 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) ) ) )
| ( p103 @ SY109 )
| ~ ( p102 @ SY109 ) )
| ~ ! [SY110: $i] :
( ~ ( r1 @ SY104 @ SY110 )
| ~ ( ~ ( r1 @ SY110 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) ) ) )
| ( p103 @ SY110 )
| ~ ( p102 @ SY110 ) ) ) )
| ~ ~ ( ~ ! [SY111: $i] :
( ~ ( r1 @ SY104 @ SY111 )
| ~ ( ~ ( r1 @ SY111 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) ) ) )
| ( p102 @ SY111 )
| ~ ( p101 @ SY111 ) )
| ~ ! [SY112: $i] :
( ~ ( r1 @ SY104 @ SY112 )
| ~ ( ~ ( r1 @ SY112 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) ) ) )
| ( p102 @ SY112 )
| ~ ( p101 @ SY112 ) ) ) )
| ~ ~ ( ~ ! [SY113: $i] :
( ~ ( r1 @ SY104 @ SY113 )
| ~ ( ~ ( r1 @ SY113 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) ) ) )
| ( p101 @ SY113 )
| ~ ( p100 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SY104 @ SY114 )
| ~ ( ~ ( r1 @ SY114 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) ) ) )
| ( p101 @ SY114 )
| ~ ( p100 @ SY114 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p105 @ SX4 )
| ~ ( p106 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p104 @ SX4 )
| ~ ( p105 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p103 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p102 @ SX4 )
| ~ ( p103 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p101 @ SX4 )
| ~ ( p102 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p100 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(44,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV4: $i] :
( ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( ! [SY145: $i] :
( ~ ( r1 @ SV6 @ SY145 )
| ( p3 @ SY145 ) ) )
= $true )
| ( ( r1 @ SV3 @ SV4 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(45,plain,
! [SV7: $i,SV5: $i] :
( ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( ! [SY146: $i] :
( ~ ( r1 @ SV7 @ SY146 )
| ! [SY104: $i] :
( ~ ( r1 @ SY146 @ SY104 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY105: $i] :
( ~ ( r1 @ SY104 @ SY105 )
| ~ ( ~ ( r1 @ SY105 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY105 @ SY104 @ SY105 @ SY104 @ SV5 ) ) ) )
| ( p105 @ SY105 )
| ~ ( p104 @ SY105 ) )
| ~ ! [SY106: $i] :
( ~ ( r1 @ SY104 @ SY106 )
| ~ ( ~ ( r1 @ SY106 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY106 @ SY104 @ SY106 @ SY104 @ SV5 ) ) ) )
| ( p105 @ SY106 )
| ~ ( p104 @ SY106 ) ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ~ ( r1 @ SY104 @ SY107 )
| ~ ( ~ ( r1 @ SY107 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY107 @ SY104 @ SY107 @ SY104 @ SV5 ) ) ) )
| ( p104 @ SY107 )
| ~ ( p103 @ SY107 ) )
| ~ ! [SY108: $i] :
( ~ ( r1 @ SY104 @ SY108 )
| ~ ( ~ ( r1 @ SY108 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY108 @ SY104 @ SY108 @ SY104 @ SV5 ) ) ) )
| ( p104 @ SY108 )
| ~ ( p103 @ SY108 ) ) ) )
| ~ ~ ( ~ ! [SY109: $i] :
( ~ ( r1 @ SY104 @ SY109 )
| ~ ( ~ ( r1 @ SY109 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY109 @ SY104 @ SY109 @ SY104 @ SV5 ) ) ) )
| ( p103 @ SY109 )
| ~ ( p102 @ SY109 ) )
| ~ ! [SY110: $i] :
( ~ ( r1 @ SY104 @ SY110 )
| ~ ( ~ ( r1 @ SY110 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY110 @ SY104 @ SY110 @ SY104 @ SV5 ) ) ) )
| ( p103 @ SY110 )
| ~ ( p102 @ SY110 ) ) ) )
| ~ ~ ( ~ ! [SY111: $i] :
( ~ ( r1 @ SY104 @ SY111 )
| ~ ( ~ ( r1 @ SY111 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY111 @ SY104 @ SY111 @ SY104 @ SV5 ) ) ) )
| ( p102 @ SY111 )
| ~ ( p101 @ SY111 ) )
| ~ ! [SY112: $i] :
( ~ ( r1 @ SY104 @ SY112 )
| ~ ( ~ ( r1 @ SY112 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY112 @ SY104 @ SY112 @ SY104 @ SV5 ) ) ) )
| ( p102 @ SY112 )
| ~ ( p101 @ SY112 ) ) ) )
| ~ ~ ( ~ ! [SY113: $i] :
( ~ ( r1 @ SY104 @ SY113 )
| ~ ( ~ ( r1 @ SY113 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY113 @ SY104 @ SY113 @ SY104 @ SV5 ) ) ) )
| ( p101 @ SY113 )
| ~ ( p100 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SY104 @ SY114 )
| ~ ( ~ ( r1 @ SY114 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY114 @ SY104 @ SY114 @ SY104 @ SV5 ) ) ) )
| ( p101 @ SY114 )
| ~ ( p100 @ SY114 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p105 @ SX4 )
| ~ ( p106 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p104 @ SX4 )
| ~ ( p105 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p103 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p102 @ SX4 )
| ~ ( p103 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p101 @ SX4 )
| ~ ( p102 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY104 @ SX4 )
| ( p100 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(46,plain,
! [SV2: $i,SV3: $i,SV4: $i,SV8: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV8 )
| ( p3 @ SV8 ) )
= $true )
| ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( r1 @ SV3 @ SV4 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(47,plain,
! [SV5: $i,SV9: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ SV9 )
| ! [SY188: $i] :
( ~ ( r1 @ SV9 @ SY188 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY105: $i] :
( ~ ( r1 @ SY188 @ SY105 )
| ~ ( ~ ( r1 @ SY105 @ ( sK11_X @ SY105 @ SY188 @ SY105 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY105 @ SY188 @ SY105 @ SY188 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY105 @ SY188 @ SY105 @ SY188 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY105 @ SY188 @ SY105 @ SY188 @ SV5 ) ) ) )
| ( p105 @ SY105 )
| ~ ( p104 @ SY105 ) )
| ~ ! [SY106: $i] :
( ~ ( r1 @ SY188 @ SY106 )
| ~ ( ~ ( r1 @ SY106 @ ( sK10_X @ SY106 @ SY188 @ SY106 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY106 @ SY188 @ SY106 @ SY188 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY106 @ SY188 @ SY106 @ SY188 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY106 @ SY188 @ SY106 @ SY188 @ SV5 ) ) ) )
| ( p105 @ SY106 )
| ~ ( p104 @ SY106 ) ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ~ ( r1 @ SY188 @ SY107 )
| ~ ( ~ ( r1 @ SY107 @ ( sK9_X @ SY107 @ SY188 @ SY107 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY107 @ SY188 @ SY107 @ SY188 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY107 @ SY188 @ SY107 @ SY188 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY107 @ SY188 @ SY107 @ SY188 @ SV5 ) ) ) )
| ( p104 @ SY107 )
| ~ ( p103 @ SY107 ) )
| ~ ! [SY108: $i] :
( ~ ( r1 @ SY188 @ SY108 )
| ~ ( ~ ( r1 @ SY108 @ ( sK8_X @ SY108 @ SY188 @ SY108 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY108 @ SY188 @ SY108 @ SY188 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY108 @ SY188 @ SY108 @ SY188 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY108 @ SY188 @ SY108 @ SY188 @ SV5 ) ) ) )
| ( p104 @ SY108 )
| ~ ( p103 @ SY108 ) ) ) )
| ~ ~ ( ~ ! [SY109: $i] :
( ~ ( r1 @ SY188 @ SY109 )
| ~ ( ~ ( r1 @ SY109 @ ( sK7_X @ SY109 @ SY188 @ SY109 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY109 @ SY188 @ SY109 @ SY188 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY109 @ SY188 @ SY109 @ SY188 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY109 @ SY188 @ SY109 @ SY188 @ SV5 ) ) ) )
| ( p103 @ SY109 )
| ~ ( p102 @ SY109 ) )
| ~ ! [SY110: $i] :
( ~ ( r1 @ SY188 @ SY110 )
| ~ ( ~ ( r1 @ SY110 @ ( sK6_X @ SY110 @ SY188 @ SY110 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY110 @ SY188 @ SY110 @ SY188 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY110 @ SY188 @ SY110 @ SY188 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY110 @ SY188 @ SY110 @ SY188 @ SV5 ) ) ) )
| ( p103 @ SY110 )
| ~ ( p102 @ SY110 ) ) ) )
| ~ ~ ( ~ ! [SY111: $i] :
( ~ ( r1 @ SY188 @ SY111 )
| ~ ( ~ ( r1 @ SY111 @ ( sK5_X @ SY111 @ SY188 @ SY111 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY111 @ SY188 @ SY111 @ SY188 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY111 @ SY188 @ SY111 @ SY188 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY111 @ SY188 @ SY111 @ SY188 @ SV5 ) ) ) )
| ( p102 @ SY111 )
| ~ ( p101 @ SY111 ) )
| ~ ! [SY112: $i] :
( ~ ( r1 @ SY188 @ SY112 )
| ~ ( ~ ( r1 @ SY112 @ ( sK4_X @ SY112 @ SY188 @ SY112 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY112 @ SY188 @ SY112 @ SY188 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY112 @ SY188 @ SY112 @ SY188 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY112 @ SY188 @ SY112 @ SY188 @ SV5 ) ) ) )
| ( p102 @ SY112 )
| ~ ( p101 @ SY112 ) ) ) )
| ~ ~ ( ~ ! [SY113: $i] :
( ~ ( r1 @ SY188 @ SY113 )
| ~ ( ~ ( r1 @ SY113 @ ( sK3_X @ SY113 @ SY188 @ SY113 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY113 @ SY188 @ SY113 @ SY188 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY113 @ SY188 @ SY113 @ SY188 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY113 @ SY188 @ SY113 @ SY188 @ SV5 ) ) ) )
| ( p101 @ SY113 )
| ~ ( p100 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SY188 @ SY114 )
| ~ ( ~ ( r1 @ SY114 @ ( sK2_X @ SY114 @ SY188 @ SY114 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY114 @ SY188 @ SY114 @ SY188 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY114 @ SY188 @ SY114 @ SY188 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY114 @ SY188 @ SY114 @ SY188 @ SV5 ) ) ) )
| ( p101 @ SY114 )
| ~ ( p100 @ SY114 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ( p105 @ SX4 )
| ~ ( p106 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ( p104 @ SX4 )
| ~ ( p105 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ( p103 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ( p102 @ SX4 )
| ~ ( p103 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ( p101 @ SX4 )
| ~ ( p102 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ( p100 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) ) )
= $true )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(48,plain,
! [SV2: $i,SV3: $i,SV4: $i,SV8: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV8 ) )
= $true )
| ( ( p3 @ SV8 )
= $true )
| ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( r1 @ SV3 @ SV4 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(49,plain,
! [SV5: $i,SV9: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ SV9 ) )
= $true )
| ( ( ! [SY188: $i] :
( ~ ( r1 @ SV9 @ SY188 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY105: $i] :
( ~ ( r1 @ SY188 @ SY105 )
| ~ ( ~ ( r1 @ SY105 @ ( sK11_X @ SY105 @ SY188 @ SY105 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY105 @ SY188 @ SY105 @ SY188 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY105 @ SY188 @ SY105 @ SY188 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY105 @ SY188 @ SY105 @ SY188 @ SV5 ) ) ) )
| ( p105 @ SY105 )
| ~ ( p104 @ SY105 ) )
| ~ ! [SY106: $i] :
( ~ ( r1 @ SY188 @ SY106 )
| ~ ( ~ ( r1 @ SY106 @ ( sK10_X @ SY106 @ SY188 @ SY106 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY106 @ SY188 @ SY106 @ SY188 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY106 @ SY188 @ SY106 @ SY188 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY106 @ SY188 @ SY106 @ SY188 @ SV5 ) ) ) )
| ( p105 @ SY106 )
| ~ ( p104 @ SY106 ) ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ~ ( r1 @ SY188 @ SY107 )
| ~ ( ~ ( r1 @ SY107 @ ( sK9_X @ SY107 @ SY188 @ SY107 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY107 @ SY188 @ SY107 @ SY188 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY107 @ SY188 @ SY107 @ SY188 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY107 @ SY188 @ SY107 @ SY188 @ SV5 ) ) ) )
| ( p104 @ SY107 )
| ~ ( p103 @ SY107 ) )
| ~ ! [SY108: $i] :
( ~ ( r1 @ SY188 @ SY108 )
| ~ ( ~ ( r1 @ SY108 @ ( sK8_X @ SY108 @ SY188 @ SY108 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY108 @ SY188 @ SY108 @ SY188 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY108 @ SY188 @ SY108 @ SY188 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY108 @ SY188 @ SY108 @ SY188 @ SV5 ) ) ) )
| ( p104 @ SY108 )
| ~ ( p103 @ SY108 ) ) ) )
| ~ ~ ( ~ ! [SY109: $i] :
( ~ ( r1 @ SY188 @ SY109 )
| ~ ( ~ ( r1 @ SY109 @ ( sK7_X @ SY109 @ SY188 @ SY109 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY109 @ SY188 @ SY109 @ SY188 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY109 @ SY188 @ SY109 @ SY188 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY109 @ SY188 @ SY109 @ SY188 @ SV5 ) ) ) )
| ( p103 @ SY109 )
| ~ ( p102 @ SY109 ) )
| ~ ! [SY110: $i] :
( ~ ( r1 @ SY188 @ SY110 )
| ~ ( ~ ( r1 @ SY110 @ ( sK6_X @ SY110 @ SY188 @ SY110 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY110 @ SY188 @ SY110 @ SY188 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY110 @ SY188 @ SY110 @ SY188 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY110 @ SY188 @ SY110 @ SY188 @ SV5 ) ) ) )
| ( p103 @ SY110 )
| ~ ( p102 @ SY110 ) ) ) )
| ~ ~ ( ~ ! [SY111: $i] :
( ~ ( r1 @ SY188 @ SY111 )
| ~ ( ~ ( r1 @ SY111 @ ( sK5_X @ SY111 @ SY188 @ SY111 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY111 @ SY188 @ SY111 @ SY188 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY111 @ SY188 @ SY111 @ SY188 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY111 @ SY188 @ SY111 @ SY188 @ SV5 ) ) ) )
| ( p102 @ SY111 )
| ~ ( p101 @ SY111 ) )
| ~ ! [SY112: $i] :
( ~ ( r1 @ SY188 @ SY112 )
| ~ ( ~ ( r1 @ SY112 @ ( sK4_X @ SY112 @ SY188 @ SY112 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY112 @ SY188 @ SY112 @ SY188 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY112 @ SY188 @ SY112 @ SY188 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY112 @ SY188 @ SY112 @ SY188 @ SV5 ) ) ) )
| ( p102 @ SY112 )
| ~ ( p101 @ SY112 ) ) ) )
| ~ ~ ( ~ ! [SY113: $i] :
( ~ ( r1 @ SY188 @ SY113 )
| ~ ( ~ ( r1 @ SY113 @ ( sK3_X @ SY113 @ SY188 @ SY113 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY113 @ SY188 @ SY113 @ SY188 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY113 @ SY188 @ SY113 @ SY188 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY113 @ SY188 @ SY113 @ SY188 @ SV5 ) ) ) )
| ( p101 @ SY113 )
| ~ ( p100 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SY188 @ SY114 )
| ~ ( ~ ( r1 @ SY114 @ ( sK2_X @ SY114 @ SY188 @ SY114 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY114 @ SY188 @ SY114 @ SY188 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY114 @ SY188 @ SY114 @ SY188 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY114 @ SY188 @ SY114 @ SY188 @ SV5 ) ) ) )
| ( p101 @ SY114 )
| ~ ( p100 @ SY114 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ( p105 @ SX4 )
| ~ ( p106 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ( p104 @ SX4 )
| ~ ( p105 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ( p103 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ( p102 @ SX4 )
| ~ ( p103 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ( p101 @ SX4 )
| ~ ( p102 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ( p100 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) ) )
= $true )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(50,plain,
! [SV2: $i,SV3: $i,SV4: $i,SV8: $i,SV6: $i] :
( ( ( r1 @ SV6 @ SV8 )
= $false )
| ( ( p3 @ SV8 )
= $true )
| ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( r1 @ SV3 @ SV4 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(51,plain,
! [SV5: $i,SV9: $i,SV7: $i] :
( ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( ! [SY188: $i] :
( ~ ( r1 @ SV9 @ SY188 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY105: $i] :
( ~ ( r1 @ SY188 @ SY105 )
| ~ ( ~ ( r1 @ SY105 @ ( sK11_X @ SY105 @ SY188 @ SY105 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY105 @ SY188 @ SY105 @ SY188 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY105 @ SY188 @ SY105 @ SY188 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY105 @ SY188 @ SY105 @ SY188 @ SV5 ) ) ) )
| ( p105 @ SY105 )
| ~ ( p104 @ SY105 ) )
| ~ ! [SY106: $i] :
( ~ ( r1 @ SY188 @ SY106 )
| ~ ( ~ ( r1 @ SY106 @ ( sK10_X @ SY106 @ SY188 @ SY106 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY106 @ SY188 @ SY106 @ SY188 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY106 @ SY188 @ SY106 @ SY188 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY106 @ SY188 @ SY106 @ SY188 @ SV5 ) ) ) )
| ( p105 @ SY106 )
| ~ ( p104 @ SY106 ) ) )
| ~ ~ ( ~ ! [SY107: $i] :
( ~ ( r1 @ SY188 @ SY107 )
| ~ ( ~ ( r1 @ SY107 @ ( sK9_X @ SY107 @ SY188 @ SY107 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY107 @ SY188 @ SY107 @ SY188 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY107 @ SY188 @ SY107 @ SY188 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY107 @ SY188 @ SY107 @ SY188 @ SV5 ) ) ) )
| ( p104 @ SY107 )
| ~ ( p103 @ SY107 ) )
| ~ ! [SY108: $i] :
( ~ ( r1 @ SY188 @ SY108 )
| ~ ( ~ ( r1 @ SY108 @ ( sK8_X @ SY108 @ SY188 @ SY108 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY108 @ SY188 @ SY108 @ SY188 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY108 @ SY188 @ SY108 @ SY188 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY108 @ SY188 @ SY108 @ SY188 @ SV5 ) ) ) )
| ( p104 @ SY108 )
| ~ ( p103 @ SY108 ) ) ) )
| ~ ~ ( ~ ! [SY109: $i] :
( ~ ( r1 @ SY188 @ SY109 )
| ~ ( ~ ( r1 @ SY109 @ ( sK7_X @ SY109 @ SY188 @ SY109 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY109 @ SY188 @ SY109 @ SY188 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY109 @ SY188 @ SY109 @ SY188 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY109 @ SY188 @ SY109 @ SY188 @ SV5 ) ) ) )
| ( p103 @ SY109 )
| ~ ( p102 @ SY109 ) )
| ~ ! [SY110: $i] :
( ~ ( r1 @ SY188 @ SY110 )
| ~ ( ~ ( r1 @ SY110 @ ( sK6_X @ SY110 @ SY188 @ SY110 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY110 @ SY188 @ SY110 @ SY188 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY110 @ SY188 @ SY110 @ SY188 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY110 @ SY188 @ SY110 @ SY188 @ SV5 ) ) ) )
| ( p103 @ SY110 )
| ~ ( p102 @ SY110 ) ) ) )
| ~ ~ ( ~ ! [SY111: $i] :
( ~ ( r1 @ SY188 @ SY111 )
| ~ ( ~ ( r1 @ SY111 @ ( sK5_X @ SY111 @ SY188 @ SY111 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY111 @ SY188 @ SY111 @ SY188 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY111 @ SY188 @ SY111 @ SY188 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY111 @ SY188 @ SY111 @ SY188 @ SV5 ) ) ) )
| ( p102 @ SY111 )
| ~ ( p101 @ SY111 ) )
| ~ ! [SY112: $i] :
( ~ ( r1 @ SY188 @ SY112 )
| ~ ( ~ ( r1 @ SY112 @ ( sK4_X @ SY112 @ SY188 @ SY112 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY112 @ SY188 @ SY112 @ SY188 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY112 @ SY188 @ SY112 @ SY188 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY112 @ SY188 @ SY112 @ SY188 @ SV5 ) ) ) )
| ( p102 @ SY112 )
| ~ ( p101 @ SY112 ) ) ) )
| ~ ~ ( ~ ! [SY113: $i] :
( ~ ( r1 @ SY188 @ SY113 )
| ~ ( ~ ( r1 @ SY113 @ ( sK3_X @ SY113 @ SY188 @ SY113 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY113 @ SY188 @ SY113 @ SY188 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY113 @ SY188 @ SY113 @ SY188 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY113 @ SY188 @ SY113 @ SY188 @ SV5 ) ) ) )
| ( p101 @ SY113 )
| ~ ( p100 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SY188 @ SY114 )
| ~ ( ~ ( r1 @ SY114 @ ( sK2_X @ SY114 @ SY188 @ SY114 @ SY188 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY114 @ SY188 @ SY114 @ SY188 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY114 @ SY188 @ SY114 @ SY188 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY114 @ SY188 @ SY114 @ SY188 @ SV5 ) ) ) )
| ( p101 @ SY114 )
| ~ ( p100 @ SY114 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SX4 )
| ~ ( p105 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SX4 )
| ~ ( p104 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SX4 )
| ~ ( p103 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SX4 )
| ~ ( p102 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SX4 )
| ~ ( p100 @ SX4 ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ( p105 @ SX4 )
| ~ ( p106 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ( p104 @ SX4 )
| ~ ( p105 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ( p103 @ SX4 )
| ~ ( p104 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ( p102 @ SX4 )
| ~ ( p103 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ( p101 @ SX4 )
| ~ ( p102 @ SX4 ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY188 @ SX4 )
| ( p100 @ SX4 )
| ~ ( p101 @ SX4 ) ) ) ) )
= $true )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(52,plain,
! [SV7: $i,SV5: $i,SV10: $i,SV9: $i] :
( ( ( ~ ( r1 @ SV9 @ SV10 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) )
| ~ ! [SY264: $i] :
( ~ ( r1 @ SV10 @ SY264 )
| ( p104 @ SY264 )
| ~ ( p105 @ SY264 ) ) )
| ~ ! [SY265: $i] :
( ~ ( r1 @ SV10 @ SY265 )
| ( p103 @ SY265 )
| ~ ( p104 @ SY265 ) ) )
| ~ ! [SY266: $i] :
( ~ ( r1 @ SV10 @ SY266 )
| ( p102 @ SY266 )
| ~ ( p103 @ SY266 ) ) )
| ~ ! [SY267: $i] :
( ~ ( r1 @ SV10 @ SY267 )
| ( p101 @ SY267 )
| ~ ( p102 @ SY267 ) ) )
| ~ ! [SY268: $i] :
( ~ ( r1 @ SV10 @ SY268 )
| ( p100 @ SY268 )
| ~ ( p101 @ SY268 ) ) ) )
= $true )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(53,plain,
! [SV7: $i,SV5: $i,SV10: $i,SV9: $i] :
( ( ( ~ ( r1 @ SV9 @ SV10 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) )
| ~ ! [SY264: $i] :
( ~ ( r1 @ SV10 @ SY264 )
| ( p104 @ SY264 )
| ~ ( p105 @ SY264 ) ) )
| ~ ! [SY265: $i] :
( ~ ( r1 @ SV10 @ SY265 )
| ( p103 @ SY265 )
| ~ ( p104 @ SY265 ) ) )
| ~ ! [SY266: $i] :
( ~ ( r1 @ SV10 @ SY266 )
| ( p102 @ SY266 )
| ~ ( p103 @ SY266 ) ) )
| ~ ! [SY267: $i] :
( ~ ( r1 @ SV10 @ SY267 )
| ( p101 @ SY267 )
| ~ ( p102 @ SY267 ) ) )
| ~ ! [SY268: $i] :
( ~ ( r1 @ SV10 @ SY268 )
| ( p100 @ SY268 )
| ~ ( p101 @ SY268 ) ) ) )
= $true )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(54,plain,
! [SV7: $i,SV5: $i,SV10: $i,SV9: $i] :
( ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) )
| ~ ! [SY264: $i] :
( ~ ( r1 @ SV10 @ SY264 )
| ( p104 @ SY264 )
| ~ ( p105 @ SY264 ) ) )
| ~ ! [SY265: $i] :
( ~ ( r1 @ SV10 @ SY265 )
| ( p103 @ SY265 )
| ~ ( p104 @ SY265 ) ) )
| ~ ! [SY266: $i] :
( ~ ( r1 @ SV10 @ SY266 )
| ( p102 @ SY266 )
| ~ ( p103 @ SY266 ) ) )
| ~ ! [SY267: $i] :
( ~ ( r1 @ SV10 @ SY267 )
| ( p101 @ SY267 )
| ~ ( p102 @ SY267 ) ) )
| ~ ! [SY268: $i] :
( ~ ( r1 @ SV10 @ SY268 )
| ( p100 @ SY268 )
| ~ ( p101 @ SY268 ) ) ) )
= $true )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(55,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) )
| ~ ! [SY264: $i] :
( ~ ( r1 @ SV10 @ SY264 )
| ( p104 @ SY264 )
| ~ ( p105 @ SY264 ) ) )
| ~ ! [SY265: $i] :
( ~ ( r1 @ SV10 @ SY265 )
| ( p103 @ SY265 )
| ~ ( p104 @ SY265 ) ) )
| ~ ! [SY266: $i] :
( ~ ( r1 @ SV10 @ SY266 )
| ( p102 @ SY266 )
| ~ ( p103 @ SY266 ) ) )
| ~ ! [SY267: $i] :
( ~ ( r1 @ SV10 @ SY267 )
| ( p101 @ SY267 )
| ~ ( p102 @ SY267 ) ) )
| ~ ! [SY268: $i] :
( ~ ( r1 @ SV10 @ SY268 )
| ( p100 @ SY268 )
| ~ ( p101 @ SY268 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(56,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) )
| ~ ! [SY264: $i] :
( ~ ( r1 @ SV10 @ SY264 )
| ( p104 @ SY264 )
| ~ ( p105 @ SY264 ) ) )
| ~ ! [SY265: $i] :
( ~ ( r1 @ SV10 @ SY265 )
| ( p103 @ SY265 )
| ~ ( p104 @ SY265 ) ) )
| ~ ! [SY266: $i] :
( ~ ( r1 @ SV10 @ SY266 )
| ( p102 @ SY266 )
| ~ ( p103 @ SY266 ) ) )
| ~ ! [SY267: $i] :
( ~ ( r1 @ SV10 @ SY267 )
| ( p101 @ SY267 )
| ~ ( p102 @ SY267 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(57,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY268: $i] :
( ~ ( r1 @ SV10 @ SY268 )
| ( p100 @ SY268 )
| ~ ( p101 @ SY268 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(58,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) )
| ~ ! [SY264: $i] :
( ~ ( r1 @ SV10 @ SY264 )
| ( p104 @ SY264 )
| ~ ( p105 @ SY264 ) ) )
| ~ ! [SY265: $i] :
( ~ ( r1 @ SV10 @ SY265 )
| ( p103 @ SY265 )
| ~ ( p104 @ SY265 ) ) )
| ~ ! [SY266: $i] :
( ~ ( r1 @ SV10 @ SY266 )
| ( p102 @ SY266 )
| ~ ( p103 @ SY266 ) ) )
| ~ ! [SY267: $i] :
( ~ ( r1 @ SV10 @ SY267 )
| ( p101 @ SY267 )
| ~ ( p102 @ SY267 ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(59,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ! [SY268: $i] :
( ~ ( r1 @ SV10 @ SY268 )
| ( p100 @ SY268 )
| ~ ( p101 @ SY268 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(60,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) )
| ~ ! [SY264: $i] :
( ~ ( r1 @ SV10 @ SY264 )
| ( p104 @ SY264 )
| ~ ( p105 @ SY264 ) ) )
| ~ ! [SY265: $i] :
( ~ ( r1 @ SV10 @ SY265 )
| ( p103 @ SY265 )
| ~ ( p104 @ SY265 ) ) )
| ~ ! [SY266: $i] :
( ~ ( r1 @ SV10 @ SY266 )
| ( p102 @ SY266 )
| ~ ( p103 @ SY266 ) ) )
| ~ ! [SY267: $i] :
( ~ ( r1 @ SV10 @ SY267 )
| ( p101 @ SY267 )
| ~ ( p102 @ SY267 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(61,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV11: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV11 )
| ( p100 @ SV11 )
| ~ ( p101 @ SV11 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(62,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) )
| ~ ! [SY264: $i] :
( ~ ( r1 @ SV10 @ SY264 )
| ( p104 @ SY264 )
| ~ ( p105 @ SY264 ) ) )
| ~ ! [SY265: $i] :
( ~ ( r1 @ SV10 @ SY265 )
| ( p103 @ SY265 )
| ~ ( p104 @ SY265 ) ) )
| ~ ! [SY266: $i] :
( ~ ( r1 @ SV10 @ SY266 )
| ( p102 @ SY266 )
| ~ ( p103 @ SY266 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(63,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY267: $i] :
( ~ ( r1 @ SV10 @ SY267 )
| ( p101 @ SY267 )
| ~ ( p102 @ SY267 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(64,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV11: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV11 ) )
= $true )
| ( ( ( p100 @ SV11 )
| ~ ( p101 @ SV11 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(65,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) )
| ~ ! [SY264: $i] :
( ~ ( r1 @ SV10 @ SY264 )
| ( p104 @ SY264 )
| ~ ( p105 @ SY264 ) ) )
| ~ ! [SY265: $i] :
( ~ ( r1 @ SV10 @ SY265 )
| ( p103 @ SY265 )
| ~ ( p104 @ SY265 ) ) )
| ~ ! [SY266: $i] :
( ~ ( r1 @ SV10 @ SY266 )
| ( p102 @ SY266 )
| ~ ( p103 @ SY266 ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(66,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ! [SY267: $i] :
( ~ ( r1 @ SV10 @ SY267 )
| ( p101 @ SY267 )
| ~ ( p102 @ SY267 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(67,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV11: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV11 )
= $false )
| ( ( ( p100 @ SV11 )
| ~ ( p101 @ SV11 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(68,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) )
| ~ ! [SY264: $i] :
( ~ ( r1 @ SV10 @ SY264 )
| ( p104 @ SY264 )
| ~ ( p105 @ SY264 ) ) )
| ~ ! [SY265: $i] :
( ~ ( r1 @ SV10 @ SY265 )
| ( p103 @ SY265 )
| ~ ( p104 @ SY265 ) ) )
| ~ ! [SY266: $i] :
( ~ ( r1 @ SV10 @ SY266 )
| ( p102 @ SY266 )
| ~ ( p103 @ SY266 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(69,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV12: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV12 )
| ( p101 @ SV12 )
| ~ ( p102 @ SV12 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(70,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( ( p100 @ SV11 )
= $true )
| ( ( ~ ( p101 @ SV11 ) )
= $true )
| ( ( r1 @ SV10 @ SV11 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(71,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) )
| ~ ! [SY264: $i] :
( ~ ( r1 @ SV10 @ SY264 )
| ( p104 @ SY264 )
| ~ ( p105 @ SY264 ) ) )
| ~ ! [SY265: $i] :
( ~ ( r1 @ SV10 @ SY265 )
| ( p103 @ SY265 )
| ~ ( p104 @ SY265 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(72,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY266: $i] :
( ~ ( r1 @ SV10 @ SY266 )
| ( p102 @ SY266 )
| ~ ( p103 @ SY266 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(73,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV12: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV12 ) )
= $true )
| ( ( ( p101 @ SV12 )
| ~ ( p102 @ SV12 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(74,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( ( p101 @ SV11 )
= $false )
| ( ( p100 @ SV11 )
= $true )
| ( ( r1 @ SV10 @ SV11 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(75,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) )
| ~ ! [SY264: $i] :
( ~ ( r1 @ SV10 @ SY264 )
| ( p104 @ SY264 )
| ~ ( p105 @ SY264 ) ) )
| ~ ! [SY265: $i] :
( ~ ( r1 @ SV10 @ SY265 )
| ( p103 @ SY265 )
| ~ ( p104 @ SY265 ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(76,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ! [SY266: $i] :
( ~ ( r1 @ SV10 @ SY266 )
| ( p102 @ SY266 )
| ~ ( p103 @ SY266 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(77,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV12: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV12 )
= $false )
| ( ( ( p101 @ SV12 )
| ~ ( p102 @ SV12 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(78,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) )
| ~ ! [SY264: $i] :
( ~ ( r1 @ SV10 @ SY264 )
| ( p104 @ SY264 )
| ~ ( p105 @ SY264 ) ) )
| ~ ! [SY265: $i] :
( ~ ( r1 @ SV10 @ SY265 )
| ( p103 @ SY265 )
| ~ ( p104 @ SY265 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(79,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV13: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV13 )
| ( p102 @ SV13 )
| ~ ( p103 @ SV13 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(80,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV12: $i] :
( ( ( p101 @ SV12 )
= $true )
| ( ( ~ ( p102 @ SV12 ) )
= $true )
| ( ( r1 @ SV10 @ SV12 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(81,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) )
| ~ ! [SY264: $i] :
( ~ ( r1 @ SV10 @ SY264 )
| ( p104 @ SY264 )
| ~ ( p105 @ SY264 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(82,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY265: $i] :
( ~ ( r1 @ SV10 @ SY265 )
| ( p103 @ SY265 )
| ~ ( p104 @ SY265 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(83,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV13: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV13 ) )
= $true )
| ( ( ( p102 @ SV13 )
| ~ ( p103 @ SV13 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(84,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV12: $i] :
( ( ( p102 @ SV12 )
= $false )
| ( ( p101 @ SV12 )
= $true )
| ( ( r1 @ SV10 @ SV12 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(85,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) )
| ~ ! [SY264: $i] :
( ~ ( r1 @ SV10 @ SY264 )
| ( p104 @ SY264 )
| ~ ( p105 @ SY264 ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(86,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ! [SY265: $i] :
( ~ ( r1 @ SV10 @ SY265 )
| ( p103 @ SY265 )
| ~ ( p104 @ SY265 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(87,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV13: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( ( p102 @ SV13 )
| ~ ( p103 @ SV13 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(88,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) )
| ~ ! [SY264: $i] :
( ~ ( r1 @ SV10 @ SY264 )
| ( p104 @ SY264 )
| ~ ( p105 @ SY264 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(89,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV14: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV14 )
| ( p103 @ SV14 )
| ~ ( p104 @ SV14 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(90,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV13: $i] :
( ( ( p102 @ SV13 )
= $true )
| ( ( ~ ( p103 @ SV13 ) )
= $true )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(91,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(92,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY264: $i] :
( ~ ( r1 @ SV10 @ SY264 )
| ( p104 @ SY264 )
| ~ ( p105 @ SY264 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(93,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV14: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV14 ) )
= $true )
| ( ( ( p103 @ SV14 )
| ~ ( p104 @ SV14 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(94,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV13: $i] :
( ( ( p103 @ SV13 )
= $false )
| ( ( p102 @ SV13 )
= $true )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(95,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(96,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ! [SY264: $i] :
( ~ ( r1 @ SV10 @ SY264 )
| ( p104 @ SY264 )
| ~ ( p105 @ SY264 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(97,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV14: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV14 )
= $false )
| ( ( ( p103 @ SV14 )
| ~ ( p104 @ SV14 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(98,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(99,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV15: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV15 )
| ( p104 @ SV15 )
| ~ ( p105 @ SV15 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(100,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV14: $i] :
( ( ( p103 @ SV14 )
= $true )
| ( ( ~ ( p104 @ SV14 ) )
= $true )
| ( ( r1 @ SV10 @ SV14 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(101,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(102,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(103,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV15: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV15 ) )
= $true )
| ( ( ( p104 @ SV15 )
| ~ ( p105 @ SV15 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(104,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV14: $i] :
( ( ( p104 @ SV14 )
= $false )
| ( ( p103 @ SV14 )
= $true )
| ( ( r1 @ SV10 @ SV14 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(105,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(106,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ! [SY263: $i] :
( ~ ( r1 @ SV10 @ SY263 )
| ( p105 @ SY263 )
| ~ ( p106 @ SY263 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(107,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV15: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( ( p104 @ SV15 )
| ~ ( p105 @ SV15 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(108,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
| ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(109,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV16: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV16 )
| ( p105 @ SV16 )
| ~ ( p106 @ SV16 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(110,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV15: $i] :
( ( ( p104 @ SV15 )
= $true )
| ( ( ~ ( p105 @ SV15 ) )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(111,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(112,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(113,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV16: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV16 ) )
= $true )
| ( ( ( p105 @ SV16 )
| ~ ( p106 @ SV16 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(114,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV15: $i] :
( ( ( p105 @ SV15 )
= $false )
| ( ( p104 @ SV15 )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(115,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(116,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(117,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV16: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV16 )
= $false )
| ( ( ( p105 @ SV16 )
| ~ ( p106 @ SV16 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(118,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
| ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(119,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) )
| ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(120,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV16: $i] :
( ( ( p105 @ SV16 )
= $true )
| ( ( ~ ( p106 @ SV16 ) )
= $true )
| ( ( r1 @ SV10 @ SV16 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(121,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[118]) ).
thf(122,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[118]) ).
thf(123,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(124,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(125,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV16: $i] :
( ( ( p106 @ SV16 )
= $false )
| ( ( p105 @ SV16 )
= $true )
| ( ( r1 @ SV10 @ SV16 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(126,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(127,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(128,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ! [SY259: $i] :
( ~ ( r1 @ SV10 @ SY259 )
| ! [SX5: $i] :
( ~ ( r1 @ SY259 @ SX5 )
| ~ ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ( p1 @ SY259 )
| ~ ( p100 @ SY259 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(129,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ! [SY261: $i] :
( ~ ( r1 @ SV10 @ SY261 )
| ! [SX5: $i] :
( ~ ( r1 @ SY261 @ SX5 )
| ( p1 @ SX5 )
| ~ ( p100 @ SX5 ) )
| ~ ( p1 @ SY261 )
| ~ ( p100 @ SY261 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(130,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(131,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(132,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV17: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV17 )
| ! [SY269: $i] :
( ~ ( r1 @ SV17 @ SY269 )
| ~ ( p1 @ SY269 )
| ~ ( p100 @ SY269 ) )
| ( p1 @ SV17 )
| ~ ( p100 @ SV17 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(133,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV18: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV18 )
| ! [SY270: $i] :
( ~ ( r1 @ SV18 @ SY270 )
| ( p1 @ SY270 )
| ~ ( p100 @ SY270 ) )
| ~ ( p1 @ SV18 )
| ~ ( p100 @ SV18 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(134,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(135,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(136,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(137,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(138,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV17: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV17 ) )
= $true )
| ( ( ! [SY269: $i] :
( ~ ( r1 @ SV17 @ SY269 )
| ~ ( p1 @ SY269 )
| ~ ( p100 @ SY269 ) )
| ( p1 @ SV17 )
| ~ ( p100 @ SV17 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(139,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV18: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV18 ) )
= $true )
| ( ( ! [SY270: $i] :
( ~ ( r1 @ SV18 @ SY270 )
| ( p1 @ SY270 )
| ~ ( p100 @ SY270 ) )
| ~ ( p1 @ SV18 )
| ~ ( p100 @ SV18 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(140,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(141,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(142,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ! [SY255: $i] :
( ~ ( r1 @ SV10 @ SY255 )
| ! [SX5: $i] :
( ~ ( r1 @ SY255 @ SX5 )
| ~ ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ( p2 @ SY255 )
| ~ ( p101 @ SY255 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(143,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ! [SY257: $i] :
( ~ ( r1 @ SV10 @ SY257 )
| ! [SX5: $i] :
( ~ ( r1 @ SY257 @ SX5 )
| ( p2 @ SX5 )
| ~ ( p101 @ SX5 ) )
| ~ ( p2 @ SY257 )
| ~ ( p101 @ SY257 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(144,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV17: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV17 )
= $false )
| ( ( ! [SY269: $i] :
( ~ ( r1 @ SV17 @ SY269 )
| ~ ( p1 @ SY269 )
| ~ ( p100 @ SY269 ) )
| ( p1 @ SV17 )
| ~ ( p100 @ SV17 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(145,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV18: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( ! [SY270: $i] :
( ~ ( r1 @ SV18 @ SY270 )
| ( p1 @ SY270 )
| ~ ( p100 @ SY270 ) )
| ~ ( p1 @ SV18 )
| ~ ( p100 @ SV18 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(146,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
| ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(147,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) )
| ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(148,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV19: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV19 )
| ! [SY271: $i] :
( ~ ( r1 @ SV19 @ SY271 )
| ~ ( p2 @ SY271 )
| ~ ( p101 @ SY271 ) )
| ( p2 @ SV19 )
| ~ ( p101 @ SV19 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(149,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV20: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV20 )
| ! [SY272: $i] :
( ~ ( r1 @ SV20 @ SY272 )
| ( p2 @ SY272 )
| ~ ( p101 @ SY272 ) )
| ~ ( p2 @ SV20 )
| ~ ( p101 @ SV20 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(150,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV17: $i] :
( ( ( ! [SY269: $i] :
( ~ ( r1 @ SV17 @ SY269 )
| ~ ( p1 @ SY269 )
| ~ ( p100 @ SY269 ) )
| ( p1 @ SV17 ) )
= $true )
| ( ( ~ ( p100 @ SV17 ) )
= $true )
| ( ( r1 @ SV10 @ SV17 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(151,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV18: $i] :
( ( ( ! [SY270: $i] :
( ~ ( r1 @ SV18 @ SY270 )
| ( p1 @ SY270 )
| ~ ( p100 @ SY270 ) )
| ~ ( p1 @ SV18 ) )
= $true )
| ( ( ~ ( p100 @ SV18 ) )
= $true )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(152,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[146]) ).
thf(153,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[146]) ).
thf(154,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(155,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(156,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV19: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV19 ) )
= $true )
| ( ( ! [SY271: $i] :
( ~ ( r1 @ SV19 @ SY271 )
| ~ ( p2 @ SY271 )
| ~ ( p101 @ SY271 ) )
| ( p2 @ SV19 )
| ~ ( p101 @ SV19 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(157,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV20: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV20 ) )
= $true )
| ( ( ! [SY272: $i] :
( ~ ( r1 @ SV20 @ SY272 )
| ( p2 @ SY272 )
| ~ ( p101 @ SY272 ) )
| ~ ( p2 @ SV20 )
| ~ ( p101 @ SV20 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(158,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV17: $i] :
( ( ( ! [SY269: $i] :
( ~ ( r1 @ SV17 @ SY269 )
| ~ ( p1 @ SY269 )
| ~ ( p100 @ SY269 ) ) )
= $true )
| ( ( p1 @ SV17 )
= $true )
| ( ( ~ ( p100 @ SV17 ) )
= $true )
| ( ( r1 @ SV10 @ SV17 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(159,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV18: $i] :
( ( ( ! [SY270: $i] :
( ~ ( r1 @ SV18 @ SY270 )
| ( p1 @ SY270 )
| ~ ( p100 @ SY270 ) ) )
= $true )
| ( ( ~ ( p1 @ SV18 ) )
= $true )
| ( ( ~ ( p100 @ SV18 ) )
= $true )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(160,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(161,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(162,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ! [SY251: $i] :
( ~ ( r1 @ SV10 @ SY251 )
| ! [SX5: $i] :
( ~ ( r1 @ SY251 @ SX5 )
| ~ ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ( p3 @ SY251 )
| ~ ( p102 @ SY251 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(163,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ! [SY253: $i] :
( ~ ( r1 @ SV10 @ SY253 )
| ! [SX5: $i] :
( ~ ( r1 @ SY253 @ SX5 )
| ( p3 @ SX5 )
| ~ ( p102 @ SX5 ) )
| ~ ( p3 @ SY253 )
| ~ ( p102 @ SY253 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(164,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV19: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV19 )
= $false )
| ( ( ! [SY271: $i] :
( ~ ( r1 @ SV19 @ SY271 )
| ~ ( p2 @ SY271 )
| ~ ( p101 @ SY271 ) )
| ( p2 @ SV19 )
| ~ ( p101 @ SV19 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(165,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV20: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV20 )
= $false )
| ( ( ! [SY272: $i] :
( ~ ( r1 @ SV20 @ SY272 )
| ( p2 @ SY272 )
| ~ ( p101 @ SY272 ) )
| ~ ( p2 @ SV20 )
| ~ ( p101 @ SV20 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(166,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV21: $i,SV17: $i] :
( ( ( ~ ( r1 @ SV17 @ SV21 )
| ~ ( p1 @ SV21 )
| ~ ( p100 @ SV21 ) )
= $true )
| ( ( p1 @ SV17 )
= $true )
| ( ( ~ ( p100 @ SV17 ) )
= $true )
| ( ( r1 @ SV10 @ SV17 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(167,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV22: $i,SV18: $i] :
( ( ( ~ ( r1 @ SV18 @ SV22 )
| ( p1 @ SV22 )
| ~ ( p100 @ SV22 ) )
= $true )
| ( ( ~ ( p1 @ SV18 ) )
= $true )
| ( ( ~ ( p100 @ SV18 ) )
= $true )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(168,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
| ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(169,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) )
| ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(170,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV23 )
| ! [SY273: $i] :
( ~ ( r1 @ SV23 @ SY273 )
| ~ ( p3 @ SY273 )
| ~ ( p102 @ SY273 ) )
| ( p3 @ SV23 )
| ~ ( p102 @ SV23 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(171,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV24: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV24 )
| ! [SY274: $i] :
( ~ ( r1 @ SV24 @ SY274 )
| ( p3 @ SY274 )
| ~ ( p102 @ SY274 ) )
| ~ ( p3 @ SV24 )
| ~ ( p102 @ SV24 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(172,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV19: $i] :
( ( ( ! [SY271: $i] :
( ~ ( r1 @ SV19 @ SY271 )
| ~ ( p2 @ SY271 )
| ~ ( p101 @ SY271 ) )
| ( p2 @ SV19 ) )
= $true )
| ( ( ~ ( p101 @ SV19 ) )
= $true )
| ( ( r1 @ SV10 @ SV19 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(173,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV20: $i] :
( ( ( ! [SY272: $i] :
( ~ ( r1 @ SV20 @ SY272 )
| ( p2 @ SY272 )
| ~ ( p101 @ SY272 ) )
| ~ ( p2 @ SV20 ) )
= $true )
| ( ( ~ ( p101 @ SV20 ) )
= $true )
| ( ( r1 @ SV10 @ SV20 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(174,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV21: $i,SV17: $i] :
( ( ( ~ ( r1 @ SV17 @ SV21 )
| ~ ( p1 @ SV21 ) )
= $true )
| ( ( ~ ( p100 @ SV21 ) )
= $true )
| ( ( p1 @ SV17 )
= $true )
| ( ( ~ ( p100 @ SV17 ) )
= $true )
| ( ( r1 @ SV10 @ SV17 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(175,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV22: $i,SV18: $i] :
( ( ( ~ ( r1 @ SV18 @ SV22 )
| ( p1 @ SV22 ) )
= $true )
| ( ( ~ ( p100 @ SV22 ) )
= $true )
| ( ( ~ ( p1 @ SV18 ) )
= $true )
| ( ( ~ ( p100 @ SV18 ) )
= $true )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(176,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(177,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(178,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(179,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(180,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV23 ) )
= $true )
| ( ( ! [SY273: $i] :
( ~ ( r1 @ SV23 @ SY273 )
| ~ ( p3 @ SY273 )
| ~ ( p102 @ SY273 ) )
| ( p3 @ SV23 )
| ~ ( p102 @ SV23 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(181,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV24: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV24 ) )
= $true )
| ( ( ! [SY274: $i] :
( ~ ( r1 @ SV24 @ SY274 )
| ( p3 @ SY274 )
| ~ ( p102 @ SY274 ) )
| ~ ( p3 @ SV24 )
| ~ ( p102 @ SV24 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(182,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV19: $i] :
( ( ( ! [SY271: $i] :
( ~ ( r1 @ SV19 @ SY271 )
| ~ ( p2 @ SY271 )
| ~ ( p101 @ SY271 ) ) )
= $true )
| ( ( p2 @ SV19 )
= $true )
| ( ( ~ ( p101 @ SV19 ) )
= $true )
| ( ( r1 @ SV10 @ SV19 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(183,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV20: $i] :
( ( ( ! [SY272: $i] :
( ~ ( r1 @ SV20 @ SY272 )
| ( p2 @ SY272 )
| ~ ( p101 @ SY272 ) ) )
= $true )
| ( ( ~ ( p2 @ SV20 ) )
= $true )
| ( ( ~ ( p101 @ SV20 ) )
= $true )
| ( ( r1 @ SV10 @ SV20 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(184,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV21: $i,SV17: $i] :
( ( ( ~ ( r1 @ SV17 @ SV21 ) )
= $true )
| ( ( ~ ( p1 @ SV21 ) )
= $true )
| ( ( ~ ( p100 @ SV21 ) )
= $true )
| ( ( p1 @ SV17 )
= $true )
| ( ( ~ ( p100 @ SV17 ) )
= $true )
| ( ( r1 @ SV10 @ SV17 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(185,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV22: $i,SV18: $i] :
( ( ( ~ ( r1 @ SV18 @ SV22 ) )
= $true )
| ( ( p1 @ SV22 )
= $true )
| ( ( ~ ( p100 @ SV22 ) )
= $true )
| ( ( ~ ( p1 @ SV18 ) )
= $true )
| ( ( ~ ( p100 @ SV18 ) )
= $true )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(186,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(187,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(188,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ! [SY247: $i] :
( ~ ( r1 @ SV10 @ SY247 )
| ! [SX5: $i] :
( ~ ( r1 @ SY247 @ SX5 )
| ~ ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ( p4 @ SY247 )
| ~ ( p103 @ SY247 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(189,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ! [SY249: $i] :
( ~ ( r1 @ SV10 @ SY249 )
| ! [SX5: $i] :
( ~ ( r1 @ SY249 @ SX5 )
| ( p4 @ SX5 )
| ~ ( p103 @ SX5 ) )
| ~ ( p4 @ SY249 )
| ~ ( p103 @ SY249 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(190,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV23: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV23 )
= $false )
| ( ( ! [SY273: $i] :
( ~ ( r1 @ SV23 @ SY273 )
| ~ ( p3 @ SY273 )
| ~ ( p102 @ SY273 ) )
| ( p3 @ SV23 )
| ~ ( p102 @ SV23 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(191,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV24: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV24 )
= $false )
| ( ( ! [SY274: $i] :
( ~ ( r1 @ SV24 @ SY274 )
| ( p3 @ SY274 )
| ~ ( p102 @ SY274 ) )
| ~ ( p3 @ SV24 )
| ~ ( p102 @ SV24 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(192,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV25: $i,SV19: $i] :
( ( ( ~ ( r1 @ SV19 @ SV25 )
| ~ ( p2 @ SV25 )
| ~ ( p101 @ SV25 ) )
= $true )
| ( ( p2 @ SV19 )
= $true )
| ( ( ~ ( p101 @ SV19 ) )
= $true )
| ( ( r1 @ SV10 @ SV19 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(193,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV26: $i,SV20: $i] :
( ( ( ~ ( r1 @ SV20 @ SV26 )
| ( p2 @ SV26 )
| ~ ( p101 @ SV26 ) )
= $true )
| ( ( ~ ( p2 @ SV20 ) )
= $true )
| ( ( ~ ( p101 @ SV20 ) )
= $true )
| ( ( r1 @ SV10 @ SV20 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(194,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV21: $i,SV17: $i] :
( ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( ~ ( p1 @ SV21 ) )
= $true )
| ( ( ~ ( p100 @ SV21 ) )
= $true )
| ( ( p1 @ SV17 )
= $true )
| ( ( ~ ( p100 @ SV17 ) )
= $true )
| ( ( r1 @ SV10 @ SV17 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(195,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV22: $i,SV18: $i] :
( ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( p1 @ SV22 )
= $true )
| ( ( ~ ( p100 @ SV22 ) )
= $true )
| ( ( ~ ( p1 @ SV18 ) )
= $true )
| ( ( ~ ( p100 @ SV18 ) )
= $true )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(196,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
| ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(197,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) )
| ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(198,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV27: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV27 )
| ! [SY275: $i] :
( ~ ( r1 @ SV27 @ SY275 )
| ~ ( p4 @ SY275 )
| ~ ( p103 @ SY275 ) )
| ( p4 @ SV27 )
| ~ ( p103 @ SV27 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(199,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV28: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV28 )
| ! [SY276: $i] :
( ~ ( r1 @ SV28 @ SY276 )
| ( p4 @ SY276 )
| ~ ( p103 @ SY276 ) )
| ~ ( p4 @ SV28 )
| ~ ( p103 @ SV28 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(200,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV23: $i] :
( ( ( ! [SY273: $i] :
( ~ ( r1 @ SV23 @ SY273 )
| ~ ( p3 @ SY273 )
| ~ ( p102 @ SY273 ) )
| ( p3 @ SV23 ) )
= $true )
| ( ( ~ ( p102 @ SV23 ) )
= $true )
| ( ( r1 @ SV10 @ SV23 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(201,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV24: $i] :
( ( ( ! [SY274: $i] :
( ~ ( r1 @ SV24 @ SY274 )
| ( p3 @ SY274 )
| ~ ( p102 @ SY274 ) )
| ~ ( p3 @ SV24 ) )
= $true )
| ( ( ~ ( p102 @ SV24 ) )
= $true )
| ( ( r1 @ SV10 @ SV24 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(202,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV25: $i,SV19: $i] :
( ( ( ~ ( r1 @ SV19 @ SV25 )
| ~ ( p2 @ SV25 ) )
= $true )
| ( ( ~ ( p101 @ SV25 ) )
= $true )
| ( ( p2 @ SV19 )
= $true )
| ( ( ~ ( p101 @ SV19 ) )
= $true )
| ( ( r1 @ SV10 @ SV19 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(203,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV26: $i,SV20: $i] :
( ( ( ~ ( r1 @ SV20 @ SV26 )
| ( p2 @ SV26 ) )
= $true )
| ( ( ~ ( p101 @ SV26 ) )
= $true )
| ( ( ~ ( p2 @ SV20 ) )
= $true )
| ( ( ~ ( p101 @ SV20 ) )
= $true )
| ( ( r1 @ SV10 @ SV20 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(204,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV17: $i,SV21: $i] :
( ( ( p1 @ SV21 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( ~ ( p100 @ SV21 ) )
= $true )
| ( ( p1 @ SV17 )
= $true )
| ( ( ~ ( p100 @ SV17 ) )
= $true )
| ( ( r1 @ SV10 @ SV17 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(205,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV18: $i,SV22: $i] :
( ( ( p100 @ SV22 )
= $false )
| ( ( p1 @ SV22 )
= $true )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( ~ ( p1 @ SV18 ) )
= $true )
| ( ( ~ ( p100 @ SV18 ) )
= $true )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(206,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(207,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(208,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(209,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(210,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV27: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV27 ) )
= $true )
| ( ( ! [SY275: $i] :
( ~ ( r1 @ SV27 @ SY275 )
| ~ ( p4 @ SY275 )
| ~ ( p103 @ SY275 ) )
| ( p4 @ SV27 )
| ~ ( p103 @ SV27 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(211,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV28: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV28 ) )
= $true )
| ( ( ! [SY276: $i] :
( ~ ( r1 @ SV28 @ SY276 )
| ( p4 @ SY276 )
| ~ ( p103 @ SY276 ) )
| ~ ( p4 @ SV28 )
| ~ ( p103 @ SV28 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(212,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV23: $i] :
( ( ( ! [SY273: $i] :
( ~ ( r1 @ SV23 @ SY273 )
| ~ ( p3 @ SY273 )
| ~ ( p102 @ SY273 ) ) )
= $true )
| ( ( p3 @ SV23 )
= $true )
| ( ( ~ ( p102 @ SV23 ) )
= $true )
| ( ( r1 @ SV10 @ SV23 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(213,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV24: $i] :
( ( ( ! [SY274: $i] :
( ~ ( r1 @ SV24 @ SY274 )
| ( p3 @ SY274 )
| ~ ( p102 @ SY274 ) ) )
= $true )
| ( ( ~ ( p3 @ SV24 ) )
= $true )
| ( ( ~ ( p102 @ SV24 ) )
= $true )
| ( ( r1 @ SV10 @ SV24 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(214,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV25: $i,SV19: $i] :
( ( ( ~ ( r1 @ SV19 @ SV25 ) )
= $true )
| ( ( ~ ( p2 @ SV25 ) )
= $true )
| ( ( ~ ( p101 @ SV25 ) )
= $true )
| ( ( p2 @ SV19 )
= $true )
| ( ( ~ ( p101 @ SV19 ) )
= $true )
| ( ( r1 @ SV10 @ SV19 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(215,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV26: $i,SV20: $i] :
( ( ( ~ ( r1 @ SV20 @ SV26 ) )
= $true )
| ( ( p2 @ SV26 )
= $true )
| ( ( ~ ( p101 @ SV26 ) )
= $true )
| ( ( ~ ( p2 @ SV20 ) )
= $true )
| ( ( ~ ( p101 @ SV20 ) )
= $true )
| ( ( r1 @ SV10 @ SV20 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(216,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV17: $i,SV21: $i] :
( ( ( p100 @ SV21 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( p1 @ SV21 )
= $false )
| ( ( p1 @ SV17 )
= $true )
| ( ( ~ ( p100 @ SV17 ) )
= $true )
| ( ( r1 @ SV10 @ SV17 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(217,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV22: $i,SV18: $i] :
( ( ( p1 @ SV18 )
= $false )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( p1 @ SV22 )
= $true )
| ( ( p100 @ SV22 )
= $false )
| ( ( ~ ( p100 @ SV18 ) )
= $true )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(218,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(219,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(220,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ! [SY243: $i] :
( ~ ( r1 @ SV10 @ SY243 )
| ! [SX5: $i] :
( ~ ( r1 @ SY243 @ SX5 )
| ~ ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ( p5 @ SY243 )
| ~ ( p104 @ SY243 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(221,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ! [SY245: $i] :
( ~ ( r1 @ SV10 @ SY245 )
| ! [SX5: $i] :
( ~ ( r1 @ SY245 @ SX5 )
| ( p5 @ SX5 )
| ~ ( p104 @ SX5 ) )
| ~ ( p5 @ SY245 )
| ~ ( p104 @ SY245 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(222,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV27: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV27 )
= $false )
| ( ( ! [SY275: $i] :
( ~ ( r1 @ SV27 @ SY275 )
| ~ ( p4 @ SY275 )
| ~ ( p103 @ SY275 ) )
| ( p4 @ SV27 )
| ~ ( p103 @ SV27 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(223,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV28: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV28 )
= $false )
| ( ( ! [SY276: $i] :
( ~ ( r1 @ SV28 @ SY276 )
| ( p4 @ SY276 )
| ~ ( p103 @ SY276 ) )
| ~ ( p4 @ SV28 )
| ~ ( p103 @ SV28 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(224,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV29: $i,SV23: $i] :
( ( ( ~ ( r1 @ SV23 @ SV29 )
| ~ ( p3 @ SV29 )
| ~ ( p102 @ SV29 ) )
= $true )
| ( ( p3 @ SV23 )
= $true )
| ( ( ~ ( p102 @ SV23 ) )
= $true )
| ( ( r1 @ SV10 @ SV23 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(225,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV30: $i,SV24: $i] :
( ( ( ~ ( r1 @ SV24 @ SV30 )
| ( p3 @ SV30 )
| ~ ( p102 @ SV30 ) )
= $true )
| ( ( ~ ( p3 @ SV24 ) )
= $true )
| ( ( ~ ( p102 @ SV24 ) )
= $true )
| ( ( r1 @ SV10 @ SV24 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(226,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV25: $i,SV19: $i] :
( ( ( r1 @ SV19 @ SV25 )
= $false )
| ( ( ~ ( p2 @ SV25 ) )
= $true )
| ( ( ~ ( p101 @ SV25 ) )
= $true )
| ( ( p2 @ SV19 )
= $true )
| ( ( ~ ( p101 @ SV19 ) )
= $true )
| ( ( r1 @ SV10 @ SV19 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(227,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV26: $i,SV20: $i] :
( ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( p2 @ SV26 )
= $true )
| ( ( ~ ( p101 @ SV26 ) )
= $true )
| ( ( ~ ( p2 @ SV20 ) )
= $true )
| ( ( ~ ( p101 @ SV20 ) )
= $true )
| ( ( r1 @ SV10 @ SV20 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(228,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV21: $i,SV17: $i] :
( ( ( p100 @ SV17 )
= $false )
| ( ( p1 @ SV17 )
= $true )
| ( ( p1 @ SV21 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( p100 @ SV21 )
= $false )
| ( ( r1 @ SV10 @ SV17 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(229,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV22: $i,SV18: $i] :
( ( ( p100 @ SV18 )
= $false )
| ( ( p100 @ SV22 )
= $false )
| ( ( p1 @ SV22 )
= $true )
| ( ( r1 @ SV18 @ SV22 )
= $false )
| ( ( p1 @ SV18 )
= $false )
| ( ( r1 @ SV10 @ SV18 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(230,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(231,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) )
| ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(232,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV31: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV31 )
| ! [SY277: $i] :
( ~ ( r1 @ SV31 @ SY277 )
| ~ ( p5 @ SY277 )
| ~ ( p104 @ SY277 ) )
| ( p5 @ SV31 )
| ~ ( p104 @ SV31 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(233,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV32: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV32 )
| ! [SY278: $i] :
( ~ ( r1 @ SV32 @ SY278 )
| ( p5 @ SY278 )
| ~ ( p104 @ SY278 ) )
| ~ ( p5 @ SV32 )
| ~ ( p104 @ SV32 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(234,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV27: $i] :
( ( ( ! [SY275: $i] :
( ~ ( r1 @ SV27 @ SY275 )
| ~ ( p4 @ SY275 )
| ~ ( p103 @ SY275 ) )
| ( p4 @ SV27 ) )
= $true )
| ( ( ~ ( p103 @ SV27 ) )
= $true )
| ( ( r1 @ SV10 @ SV27 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(235,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV28: $i] :
( ( ( ! [SY276: $i] :
( ~ ( r1 @ SV28 @ SY276 )
| ( p4 @ SY276 )
| ~ ( p103 @ SY276 ) )
| ~ ( p4 @ SV28 ) )
= $true )
| ( ( ~ ( p103 @ SV28 ) )
= $true )
| ( ( r1 @ SV10 @ SV28 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(236,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV29: $i,SV23: $i] :
( ( ( ~ ( r1 @ SV23 @ SV29 )
| ~ ( p3 @ SV29 ) )
= $true )
| ( ( ~ ( p102 @ SV29 ) )
= $true )
| ( ( p3 @ SV23 )
= $true )
| ( ( ~ ( p102 @ SV23 ) )
= $true )
| ( ( r1 @ SV10 @ SV23 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(237,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV30: $i,SV24: $i] :
( ( ( ~ ( r1 @ SV24 @ SV30 )
| ( p3 @ SV30 ) )
= $true )
| ( ( ~ ( p102 @ SV30 ) )
= $true )
| ( ( ~ ( p3 @ SV24 ) )
= $true )
| ( ( ~ ( p102 @ SV24 ) )
= $true )
| ( ( r1 @ SV10 @ SV24 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(238,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV19: $i,SV25: $i] :
( ( ( p2 @ SV25 )
= $false )
| ( ( r1 @ SV19 @ SV25 )
= $false )
| ( ( ~ ( p101 @ SV25 ) )
= $true )
| ( ( p2 @ SV19 )
= $true )
| ( ( ~ ( p101 @ SV19 ) )
= $true )
| ( ( r1 @ SV10 @ SV19 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(239,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV20: $i,SV26: $i] :
( ( ( p101 @ SV26 )
= $false )
| ( ( p2 @ SV26 )
= $true )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( ~ ( p2 @ SV20 ) )
= $true )
| ( ( ~ ( p101 @ SV20 ) )
= $true )
| ( ( r1 @ SV10 @ SV20 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(240,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(241,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(242,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(243,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ~ ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(244,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV31: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV31 ) )
= $true )
| ( ( ! [SY277: $i] :
( ~ ( r1 @ SV31 @ SY277 )
| ~ ( p5 @ SY277 )
| ~ ( p104 @ SY277 ) )
| ( p5 @ SV31 )
| ~ ( p104 @ SV31 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(245,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV32: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV32 ) )
= $true )
| ( ( ! [SY278: $i] :
( ~ ( r1 @ SV32 @ SY278 )
| ( p5 @ SY278 )
| ~ ( p104 @ SY278 ) )
| ~ ( p5 @ SV32 )
| ~ ( p104 @ SV32 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(246,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV27: $i] :
( ( ( ! [SY275: $i] :
( ~ ( r1 @ SV27 @ SY275 )
| ~ ( p4 @ SY275 )
| ~ ( p103 @ SY275 ) ) )
= $true )
| ( ( p4 @ SV27 )
= $true )
| ( ( ~ ( p103 @ SV27 ) )
= $true )
| ( ( r1 @ SV10 @ SV27 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(247,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV28: $i] :
( ( ( ! [SY276: $i] :
( ~ ( r1 @ SV28 @ SY276 )
| ( p4 @ SY276 )
| ~ ( p103 @ SY276 ) ) )
= $true )
| ( ( ~ ( p4 @ SV28 ) )
= $true )
| ( ( ~ ( p103 @ SV28 ) )
= $true )
| ( ( r1 @ SV10 @ SV28 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(248,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV29: $i,SV23: $i] :
( ( ( ~ ( r1 @ SV23 @ SV29 ) )
= $true )
| ( ( ~ ( p3 @ SV29 ) )
= $true )
| ( ( ~ ( p102 @ SV29 ) )
= $true )
| ( ( p3 @ SV23 )
= $true )
| ( ( ~ ( p102 @ SV23 ) )
= $true )
| ( ( r1 @ SV10 @ SV23 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(249,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV30: $i,SV24: $i] :
( ( ( ~ ( r1 @ SV24 @ SV30 ) )
= $true )
| ( ( p3 @ SV30 )
= $true )
| ( ( ~ ( p102 @ SV30 ) )
= $true )
| ( ( ~ ( p3 @ SV24 ) )
= $true )
| ( ( ~ ( p102 @ SV24 ) )
= $true )
| ( ( r1 @ SV10 @ SV24 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(250,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV19: $i,SV25: $i] :
( ( ( p101 @ SV25 )
= $false )
| ( ( r1 @ SV19 @ SV25 )
= $false )
| ( ( p2 @ SV25 )
= $false )
| ( ( p2 @ SV19 )
= $true )
| ( ( ~ ( p101 @ SV19 ) )
= $true )
| ( ( r1 @ SV10 @ SV19 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(251,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV26: $i,SV20: $i] :
( ( ( p2 @ SV20 )
= $false )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( p2 @ SV26 )
= $true )
| ( ( p101 @ SV26 )
= $false )
| ( ( ~ ( p101 @ SV20 ) )
= $true )
| ( ( r1 @ SV10 @ SV20 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(252,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(253,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(254,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ! [SY239: $i] :
( ~ ( r1 @ SV10 @ SY239 )
| ! [SX5: $i] :
( ~ ( r1 @ SY239 @ SX5 )
| ~ ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ( p6 @ SY239 )
| ~ ( p105 @ SY239 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(255,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i] :
( ( ( ! [SY241: $i] :
( ~ ( r1 @ SV10 @ SY241 )
| ! [SX5: $i] :
( ~ ( r1 @ SY241 @ SX5 )
| ( p6 @ SX5 )
| ~ ( p105 @ SX5 ) )
| ~ ( p6 @ SY241 )
| ~ ( p105 @ SY241 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(256,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV31: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV31 )
= $false )
| ( ( ! [SY277: $i] :
( ~ ( r1 @ SV31 @ SY277 )
| ~ ( p5 @ SY277 )
| ~ ( p104 @ SY277 ) )
| ( p5 @ SV31 )
| ~ ( p104 @ SV31 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(257,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV32: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV32 )
= $false )
| ( ( ! [SY278: $i] :
( ~ ( r1 @ SV32 @ SY278 )
| ( p5 @ SY278 )
| ~ ( p104 @ SY278 ) )
| ~ ( p5 @ SV32 )
| ~ ( p104 @ SV32 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(258,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV33: $i,SV27: $i] :
( ( ( ~ ( r1 @ SV27 @ SV33 )
| ~ ( p4 @ SV33 )
| ~ ( p103 @ SV33 ) )
= $true )
| ( ( p4 @ SV27 )
= $true )
| ( ( ~ ( p103 @ SV27 ) )
= $true )
| ( ( r1 @ SV10 @ SV27 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(259,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV34: $i,SV28: $i] :
( ( ( ~ ( r1 @ SV28 @ SV34 )
| ( p4 @ SV34 )
| ~ ( p103 @ SV34 ) )
= $true )
| ( ( ~ ( p4 @ SV28 ) )
= $true )
| ( ( ~ ( p103 @ SV28 ) )
= $true )
| ( ( r1 @ SV10 @ SV28 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(260,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV29: $i,SV23: $i] :
( ( ( r1 @ SV23 @ SV29 )
= $false )
| ( ( ~ ( p3 @ SV29 ) )
= $true )
| ( ( ~ ( p102 @ SV29 ) )
= $true )
| ( ( p3 @ SV23 )
= $true )
| ( ( ~ ( p102 @ SV23 ) )
= $true )
| ( ( r1 @ SV10 @ SV23 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(261,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV30: $i,SV24: $i] :
( ( ( r1 @ SV24 @ SV30 )
= $false )
| ( ( p3 @ SV30 )
= $true )
| ( ( ~ ( p102 @ SV30 ) )
= $true )
| ( ( ~ ( p3 @ SV24 ) )
= $true )
| ( ( ~ ( p102 @ SV24 ) )
= $true )
| ( ( r1 @ SV10 @ SV24 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(262,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV25: $i,SV19: $i] :
( ( ( p101 @ SV19 )
= $false )
| ( ( p2 @ SV19 )
= $true )
| ( ( p2 @ SV25 )
= $false )
| ( ( r1 @ SV19 @ SV25 )
= $false )
| ( ( p101 @ SV25 )
= $false )
| ( ( r1 @ SV10 @ SV19 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(263,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV26: $i,SV20: $i] :
( ( ( p101 @ SV20 )
= $false )
| ( ( p101 @ SV26 )
= $false )
| ( ( p2 @ SV26 )
= $true )
| ( ( r1 @ SV20 @ SV26 )
= $false )
| ( ( p2 @ SV20 )
= $false )
| ( ( r1 @ SV10 @ SV20 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(264,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
| ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(265,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) )
| ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(266,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV35: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV35 )
| ! [SY279: $i] :
( ~ ( r1 @ SV35 @ SY279 )
| ~ ( p6 @ SY279 )
| ~ ( p105 @ SY279 ) )
| ( p6 @ SV35 )
| ~ ( p105 @ SV35 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(267,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV36: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV36 )
| ! [SY280: $i] :
( ~ ( r1 @ SV36 @ SY280 )
| ( p6 @ SY280 )
| ~ ( p105 @ SY280 ) )
| ~ ( p6 @ SV36 )
| ~ ( p105 @ SV36 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(268,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV31: $i] :
( ( ( ! [SY277: $i] :
( ~ ( r1 @ SV31 @ SY277 )
| ~ ( p5 @ SY277 )
| ~ ( p104 @ SY277 ) )
| ( p5 @ SV31 ) )
= $true )
| ( ( ~ ( p104 @ SV31 ) )
= $true )
| ( ( r1 @ SV10 @ SV31 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(269,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV32: $i] :
( ( ( ! [SY278: $i] :
( ~ ( r1 @ SV32 @ SY278 )
| ( p5 @ SY278 )
| ~ ( p104 @ SY278 ) )
| ~ ( p5 @ SV32 ) )
= $true )
| ( ( ~ ( p104 @ SV32 ) )
= $true )
| ( ( r1 @ SV10 @ SV32 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(270,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV33: $i,SV27: $i] :
( ( ( ~ ( r1 @ SV27 @ SV33 )
| ~ ( p4 @ SV33 ) )
= $true )
| ( ( ~ ( p103 @ SV33 ) )
= $true )
| ( ( p4 @ SV27 )
= $true )
| ( ( ~ ( p103 @ SV27 ) )
= $true )
| ( ( r1 @ SV10 @ SV27 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(271,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV34: $i,SV28: $i] :
( ( ( ~ ( r1 @ SV28 @ SV34 )
| ( p4 @ SV34 ) )
= $true )
| ( ( ~ ( p103 @ SV34 ) )
= $true )
| ( ( ~ ( p4 @ SV28 ) )
= $true )
| ( ( ~ ( p103 @ SV28 ) )
= $true )
| ( ( r1 @ SV10 @ SV28 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(272,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV23: $i,SV29: $i] :
( ( ( p3 @ SV29 )
= $false )
| ( ( r1 @ SV23 @ SV29 )
= $false )
| ( ( ~ ( p102 @ SV29 ) )
= $true )
| ( ( p3 @ SV23 )
= $true )
| ( ( ~ ( p102 @ SV23 ) )
= $true )
| ( ( r1 @ SV10 @ SV23 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(273,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV24: $i,SV30: $i] :
( ( ( p102 @ SV30 )
= $false )
| ( ( p3 @ SV30 )
= $true )
| ( ( r1 @ SV24 @ SV30 )
= $false )
| ( ( ~ ( p3 @ SV24 ) )
= $true )
| ( ( ~ ( p102 @ SV24 ) )
= $true )
| ( ( r1 @ SV10 @ SV24 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(274,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(275,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(276,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(277,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(278,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV35: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV35 ) )
= $true )
| ( ( ! [SY279: $i] :
( ~ ( r1 @ SV35 @ SY279 )
| ~ ( p6 @ SY279 )
| ~ ( p105 @ SY279 ) )
| ( p6 @ SV35 )
| ~ ( p105 @ SV35 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(279,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV36: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV36 ) )
= $true )
| ( ( ! [SY280: $i] :
( ~ ( r1 @ SV36 @ SY280 )
| ( p6 @ SY280 )
| ~ ( p105 @ SY280 ) )
| ~ ( p6 @ SV36 )
| ~ ( p105 @ SV36 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(280,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV31: $i] :
( ( ( ! [SY277: $i] :
( ~ ( r1 @ SV31 @ SY277 )
| ~ ( p5 @ SY277 )
| ~ ( p104 @ SY277 ) ) )
= $true )
| ( ( p5 @ SV31 )
= $true )
| ( ( ~ ( p104 @ SV31 ) )
= $true )
| ( ( r1 @ SV10 @ SV31 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(281,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV32: $i] :
( ( ( ! [SY278: $i] :
( ~ ( r1 @ SV32 @ SY278 )
| ( p5 @ SY278 )
| ~ ( p104 @ SY278 ) ) )
= $true )
| ( ( ~ ( p5 @ SV32 ) )
= $true )
| ( ( ~ ( p104 @ SV32 ) )
= $true )
| ( ( r1 @ SV10 @ SV32 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(282,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV33: $i,SV27: $i] :
( ( ( ~ ( r1 @ SV27 @ SV33 ) )
= $true )
| ( ( ~ ( p4 @ SV33 ) )
= $true )
| ( ( ~ ( p103 @ SV33 ) )
= $true )
| ( ( p4 @ SV27 )
= $true )
| ( ( ~ ( p103 @ SV27 ) )
= $true )
| ( ( r1 @ SV10 @ SV27 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(283,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV34: $i,SV28: $i] :
( ( ( ~ ( r1 @ SV28 @ SV34 ) )
= $true )
| ( ( p4 @ SV34 )
= $true )
| ( ( ~ ( p103 @ SV34 ) )
= $true )
| ( ( ~ ( p4 @ SV28 ) )
= $true )
| ( ( ~ ( p103 @ SV28 ) )
= $true )
| ( ( r1 @ SV10 @ SV28 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(284,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV23: $i,SV29: $i] :
( ( ( p102 @ SV29 )
= $false )
| ( ( r1 @ SV23 @ SV29 )
= $false )
| ( ( p3 @ SV29 )
= $false )
| ( ( p3 @ SV23 )
= $true )
| ( ( ~ ( p102 @ SV23 ) )
= $true )
| ( ( r1 @ SV10 @ SV23 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(285,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV30: $i,SV24: $i] :
( ( ( p3 @ SV24 )
= $false )
| ( ( r1 @ SV24 @ SV30 )
= $false )
| ( ( p3 @ SV30 )
= $true )
| ( ( p102 @ SV30 )
= $false )
| ( ( ~ ( p102 @ SV24 ) )
= $true )
| ( ( r1 @ SV10 @ SV24 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(286,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(287,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(288,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ! [SY237: $i] :
( ~ ( r1 @ SV10 @ SY237 )
| ~ ( ~ ( r1 @ SY237 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SY237 @ SV10 @ SY237 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY237 )
| ~ ( p100 @ SY237 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(289,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ! [SY238: $i] :
( ~ ( r1 @ SV10 @ SY238 )
| ~ ( ~ ( r1 @ SY238 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SY238 @ SV10 @ SY238 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SY238 )
| ~ ( p100 @ SY238 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(290,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV35: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV35 )
= $false )
| ( ( ! [SY279: $i] :
( ~ ( r1 @ SV35 @ SY279 )
| ~ ( p6 @ SY279 )
| ~ ( p105 @ SY279 ) )
| ( p6 @ SV35 )
| ~ ( p105 @ SV35 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(291,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV36: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV36 )
= $false )
| ( ( ! [SY280: $i] :
( ~ ( r1 @ SV36 @ SY280 )
| ( p6 @ SY280 )
| ~ ( p105 @ SY280 ) )
| ~ ( p6 @ SV36 )
| ~ ( p105 @ SV36 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(292,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV37: $i,SV31: $i] :
( ( ( ~ ( r1 @ SV31 @ SV37 )
| ~ ( p5 @ SV37 )
| ~ ( p104 @ SV37 ) )
= $true )
| ( ( p5 @ SV31 )
= $true )
| ( ( ~ ( p104 @ SV31 ) )
= $true )
| ( ( r1 @ SV10 @ SV31 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(293,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV38: $i,SV32: $i] :
( ( ( ~ ( r1 @ SV32 @ SV38 )
| ( p5 @ SV38 )
| ~ ( p104 @ SV38 ) )
= $true )
| ( ( ~ ( p5 @ SV32 ) )
= $true )
| ( ( ~ ( p104 @ SV32 ) )
= $true )
| ( ( r1 @ SV10 @ SV32 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(294,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV33: $i,SV27: $i] :
( ( ( r1 @ SV27 @ SV33 )
= $false )
| ( ( ~ ( p4 @ SV33 ) )
= $true )
| ( ( ~ ( p103 @ SV33 ) )
= $true )
| ( ( p4 @ SV27 )
= $true )
| ( ( ~ ( p103 @ SV27 ) )
= $true )
| ( ( r1 @ SV10 @ SV27 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(295,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV34: $i,SV28: $i] :
( ( ( r1 @ SV28 @ SV34 )
= $false )
| ( ( p4 @ SV34 )
= $true )
| ( ( ~ ( p103 @ SV34 ) )
= $true )
| ( ( ~ ( p4 @ SV28 ) )
= $true )
| ( ( ~ ( p103 @ SV28 ) )
= $true )
| ( ( r1 @ SV10 @ SV28 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(296,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV29: $i,SV23: $i] :
( ( ( p102 @ SV23 )
= $false )
| ( ( p3 @ SV23 )
= $true )
| ( ( p3 @ SV29 )
= $false )
| ( ( r1 @ SV23 @ SV29 )
= $false )
| ( ( p102 @ SV29 )
= $false )
| ( ( r1 @ SV10 @ SV23 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(297,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV30: $i,SV24: $i] :
( ( ( p102 @ SV24 )
= $false )
| ( ( p102 @ SV30 )
= $false )
| ( ( p3 @ SV30 )
= $true )
| ( ( r1 @ SV24 @ SV30 )
= $false )
| ( ( p3 @ SV24 )
= $false )
| ( ( r1 @ SV10 @ SV24 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(298,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
| ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(299,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(300,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV39: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV39 )
| ~ ( ~ ( r1 @ SV39 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(301,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV40: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV40 )
| ~ ( ~ ( r1 @ SV40 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(302,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV35: $i] :
( ( ( ! [SY279: $i] :
( ~ ( r1 @ SV35 @ SY279 )
| ~ ( p6 @ SY279 )
| ~ ( p105 @ SY279 ) )
| ( p6 @ SV35 ) )
= $true )
| ( ( ~ ( p105 @ SV35 ) )
= $true )
| ( ( r1 @ SV10 @ SV35 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(303,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV36: $i] :
( ( ( ! [SY280: $i] :
( ~ ( r1 @ SV36 @ SY280 )
| ( p6 @ SY280 )
| ~ ( p105 @ SY280 ) )
| ~ ( p6 @ SV36 ) )
= $true )
| ( ( ~ ( p105 @ SV36 ) )
= $true )
| ( ( r1 @ SV10 @ SV36 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(304,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV37: $i,SV31: $i] :
( ( ( ~ ( r1 @ SV31 @ SV37 )
| ~ ( p5 @ SV37 ) )
= $true )
| ( ( ~ ( p104 @ SV37 ) )
= $true )
| ( ( p5 @ SV31 )
= $true )
| ( ( ~ ( p104 @ SV31 ) )
= $true )
| ( ( r1 @ SV10 @ SV31 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(305,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV38: $i,SV32: $i] :
( ( ( ~ ( r1 @ SV32 @ SV38 )
| ( p5 @ SV38 ) )
= $true )
| ( ( ~ ( p104 @ SV38 ) )
= $true )
| ( ( ~ ( p5 @ SV32 ) )
= $true )
| ( ( ~ ( p104 @ SV32 ) )
= $true )
| ( ( r1 @ SV10 @ SV32 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(306,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV27: $i,SV33: $i] :
( ( ( p4 @ SV33 )
= $false )
| ( ( r1 @ SV27 @ SV33 )
= $false )
| ( ( ~ ( p103 @ SV33 ) )
= $true )
| ( ( p4 @ SV27 )
= $true )
| ( ( ~ ( p103 @ SV27 ) )
= $true )
| ( ( r1 @ SV10 @ SV27 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(307,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV28: $i,SV34: $i] :
( ( ( p103 @ SV34 )
= $false )
| ( ( p4 @ SV34 )
= $true )
| ( ( r1 @ SV28 @ SV34 )
= $false )
| ( ( ~ ( p4 @ SV28 ) )
= $true )
| ( ( ~ ( p103 @ SV28 ) )
= $true )
| ( ( r1 @ SV10 @ SV28 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(308,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(309,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(310,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[299]) ).
thf(311,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[299]) ).
thf(312,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV39: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV39 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV39 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(313,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV40: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV40 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV40 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(314,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV35: $i] :
( ( ( ! [SY279: $i] :
( ~ ( r1 @ SV35 @ SY279 )
| ~ ( p6 @ SY279 )
| ~ ( p105 @ SY279 ) ) )
= $true )
| ( ( p6 @ SV35 )
= $true )
| ( ( ~ ( p105 @ SV35 ) )
= $true )
| ( ( r1 @ SV10 @ SV35 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(315,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV36: $i] :
( ( ( ! [SY280: $i] :
( ~ ( r1 @ SV36 @ SY280 )
| ( p6 @ SY280 )
| ~ ( p105 @ SY280 ) ) )
= $true )
| ( ( ~ ( p6 @ SV36 ) )
= $true )
| ( ( ~ ( p105 @ SV36 ) )
= $true )
| ( ( r1 @ SV10 @ SV36 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(316,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV37: $i,SV31: $i] :
( ( ( ~ ( r1 @ SV31 @ SV37 ) )
= $true )
| ( ( ~ ( p5 @ SV37 ) )
= $true )
| ( ( ~ ( p104 @ SV37 ) )
= $true )
| ( ( p5 @ SV31 )
= $true )
| ( ( ~ ( p104 @ SV31 ) )
= $true )
| ( ( r1 @ SV10 @ SV31 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(317,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV38: $i,SV32: $i] :
( ( ( ~ ( r1 @ SV32 @ SV38 ) )
= $true )
| ( ( p5 @ SV38 )
= $true )
| ( ( ~ ( p104 @ SV38 ) )
= $true )
| ( ( ~ ( p5 @ SV32 ) )
= $true )
| ( ( ~ ( p104 @ SV32 ) )
= $true )
| ( ( r1 @ SV10 @ SV32 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(318,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV27: $i,SV33: $i] :
( ( ( p103 @ SV33 )
= $false )
| ( ( r1 @ SV27 @ SV33 )
= $false )
| ( ( p4 @ SV33 )
= $false )
| ( ( p4 @ SV27 )
= $true )
| ( ( ~ ( p103 @ SV27 ) )
= $true )
| ( ( r1 @ SV10 @ SV27 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(319,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV34: $i,SV28: $i] :
( ( ( p4 @ SV28 )
= $false )
| ( ( r1 @ SV28 @ SV34 )
= $false )
| ( ( p4 @ SV34 )
= $true )
| ( ( p103 @ SV34 )
= $false )
| ( ( ~ ( p103 @ SV28 ) )
= $true )
| ( ( r1 @ SV10 @ SV28 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(320,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(321,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(322,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ! [SY235: $i] :
( ~ ( r1 @ SV10 @ SY235 )
| ~ ( ~ ( r1 @ SY235 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SY235 @ SV10 @ SY235 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY235 )
| ~ ( p101 @ SY235 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(323,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ! [SY236: $i] :
( ~ ( r1 @ SV10 @ SY236 )
| ~ ( ~ ( r1 @ SY236 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SY236 @ SV10 @ SY236 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SY236 )
| ~ ( p101 @ SY236 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(324,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV39: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV39 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(325,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV40: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV40 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) ) )
| ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(326,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV41: $i,SV35: $i] :
( ( ( ~ ( r1 @ SV35 @ SV41 )
| ~ ( p6 @ SV41 )
| ~ ( p105 @ SV41 ) )
= $true )
| ( ( p6 @ SV35 )
= $true )
| ( ( ~ ( p105 @ SV35 ) )
= $true )
| ( ( r1 @ SV10 @ SV35 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(327,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV42: $i,SV36: $i] :
( ( ( ~ ( r1 @ SV36 @ SV42 )
| ( p6 @ SV42 )
| ~ ( p105 @ SV42 ) )
= $true )
| ( ( ~ ( p6 @ SV36 ) )
= $true )
| ( ( ~ ( p105 @ SV36 ) )
= $true )
| ( ( r1 @ SV10 @ SV36 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(328,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV37: $i,SV31: $i] :
( ( ( r1 @ SV31 @ SV37 )
= $false )
| ( ( ~ ( p5 @ SV37 ) )
= $true )
| ( ( ~ ( p104 @ SV37 ) )
= $true )
| ( ( p5 @ SV31 )
= $true )
| ( ( ~ ( p104 @ SV31 ) )
= $true )
| ( ( r1 @ SV10 @ SV31 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(329,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV38: $i,SV32: $i] :
( ( ( r1 @ SV32 @ SV38 )
= $false )
| ( ( p5 @ SV38 )
= $true )
| ( ( ~ ( p104 @ SV38 ) )
= $true )
| ( ( ~ ( p5 @ SV32 ) )
= $true )
| ( ( ~ ( p104 @ SV32 ) )
= $true )
| ( ( r1 @ SV10 @ SV32 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(330,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV33: $i,SV27: $i] :
( ( ( p103 @ SV27 )
= $false )
| ( ( p4 @ SV27 )
= $true )
| ( ( p4 @ SV33 )
= $false )
| ( ( r1 @ SV27 @ SV33 )
= $false )
| ( ( p103 @ SV33 )
= $false )
| ( ( r1 @ SV10 @ SV27 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(331,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV34: $i,SV28: $i] :
( ( ( p103 @ SV28 )
= $false )
| ( ( p103 @ SV34 )
= $false )
| ( ( p4 @ SV34 )
= $true )
| ( ( r1 @ SV28 @ SV34 )
= $false )
| ( ( p4 @ SV28 )
= $false )
| ( ( r1 @ SV10 @ SV28 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(332,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
| ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(333,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(334,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV43: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV43 )
| ~ ( ~ ( r1 @ SV43 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(335,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV44: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV44 )
| ~ ( ~ ( r1 @ SV44 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(336,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( ~ ( ~ ( r1 @ SV39 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) ) ) )
= $true )
| ( ( ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(337,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( ~ ( ~ ( r1 @ SV40 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) ) ) )
= $true )
| ( ( ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(338,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV41: $i,SV35: $i] :
( ( ( ~ ( r1 @ SV35 @ SV41 )
| ~ ( p6 @ SV41 ) )
= $true )
| ( ( ~ ( p105 @ SV41 ) )
= $true )
| ( ( p6 @ SV35 )
= $true )
| ( ( ~ ( p105 @ SV35 ) )
= $true )
| ( ( r1 @ SV10 @ SV35 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(339,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV42: $i,SV36: $i] :
( ( ( ~ ( r1 @ SV36 @ SV42 )
| ( p6 @ SV42 ) )
= $true )
| ( ( ~ ( p105 @ SV42 ) )
= $true )
| ( ( ~ ( p6 @ SV36 ) )
= $true )
| ( ( ~ ( p105 @ SV36 ) )
= $true )
| ( ( r1 @ SV10 @ SV36 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(340,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV31: $i,SV37: $i] :
( ( ( p5 @ SV37 )
= $false )
| ( ( r1 @ SV31 @ SV37 )
= $false )
| ( ( ~ ( p104 @ SV37 ) )
= $true )
| ( ( p5 @ SV31 )
= $true )
| ( ( ~ ( p104 @ SV31 ) )
= $true )
| ( ( r1 @ SV10 @ SV31 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(341,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV32: $i,SV38: $i] :
( ( ( p104 @ SV38 )
= $false )
| ( ( p5 @ SV38 )
= $true )
| ( ( r1 @ SV32 @ SV38 )
= $false )
| ( ( ~ ( p5 @ SV32 ) )
= $true )
| ( ( ~ ( p104 @ SV32 ) )
= $true )
| ( ( r1 @ SV10 @ SV32 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(342,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[332]) ).
thf(343,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[332]) ).
thf(344,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(345,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(346,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV43: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV43 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV43 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(347,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV44: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV44 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV44 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(348,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( ~ ( r1 @ SV39 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(349,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( ~ ( r1 @ SV40 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(350,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV41: $i,SV35: $i] :
( ( ( ~ ( r1 @ SV35 @ SV41 ) )
= $true )
| ( ( ~ ( p6 @ SV41 ) )
= $true )
| ( ( ~ ( p105 @ SV41 ) )
= $true )
| ( ( p6 @ SV35 )
= $true )
| ( ( ~ ( p105 @ SV35 ) )
= $true )
| ( ( r1 @ SV10 @ SV35 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(351,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV42: $i,SV36: $i] :
( ( ( ~ ( r1 @ SV36 @ SV42 ) )
= $true )
| ( ( p6 @ SV42 )
= $true )
| ( ( ~ ( p105 @ SV42 ) )
= $true )
| ( ( ~ ( p6 @ SV36 ) )
= $true )
| ( ( ~ ( p105 @ SV36 ) )
= $true )
| ( ( r1 @ SV10 @ SV36 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(352,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV31: $i,SV37: $i] :
( ( ( p104 @ SV37 )
= $false )
| ( ( r1 @ SV31 @ SV37 )
= $false )
| ( ( p5 @ SV37 )
= $false )
| ( ( p5 @ SV31 )
= $true )
| ( ( ~ ( p104 @ SV31 ) )
= $true )
| ( ( r1 @ SV10 @ SV31 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(353,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV38: $i,SV32: $i] :
( ( ( p5 @ SV32 )
= $false )
| ( ( r1 @ SV32 @ SV38 )
= $false )
| ( ( p5 @ SV38 )
= $true )
| ( ( p104 @ SV38 )
= $false )
| ( ( ~ ( p104 @ SV32 ) )
= $true )
| ( ( r1 @ SV10 @ SV32 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(354,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(355,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(356,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ! [SY233: $i] :
( ~ ( r1 @ SV10 @ SY233 )
| ~ ( ~ ( r1 @ SY233 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SY233 @ SV10 @ SY233 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY233 )
| ~ ( p102 @ SY233 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(357,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ! [SY234: $i] :
( ~ ( r1 @ SV10 @ SY234 )
| ~ ( ~ ( r1 @ SY234 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SY234 @ SV10 @ SY234 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SY234 )
| ~ ( p102 @ SY234 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(358,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV43: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV43 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(359,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV44: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV44 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) ) )
| ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(360,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( ~ ( r1 @ SV39 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(361,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(362,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( ~ ( r1 @ SV40 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(363,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(364,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV41: $i,SV35: $i] :
( ( ( r1 @ SV35 @ SV41 )
= $false )
| ( ( ~ ( p6 @ SV41 ) )
= $true )
| ( ( ~ ( p105 @ SV41 ) )
= $true )
| ( ( p6 @ SV35 )
= $true )
| ( ( ~ ( p105 @ SV35 ) )
= $true )
| ( ( r1 @ SV10 @ SV35 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(365,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV42: $i,SV36: $i] :
( ( ( r1 @ SV36 @ SV42 )
= $false )
| ( ( p6 @ SV42 )
= $true )
| ( ( ~ ( p105 @ SV42 ) )
= $true )
| ( ( ~ ( p6 @ SV36 ) )
= $true )
| ( ( ~ ( p105 @ SV36 ) )
= $true )
| ( ( r1 @ SV10 @ SV36 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(366,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV37: $i,SV31: $i] :
( ( ( p104 @ SV31 )
= $false )
| ( ( p5 @ SV31 )
= $true )
| ( ( p5 @ SV37 )
= $false )
| ( ( r1 @ SV31 @ SV37 )
= $false )
| ( ( p104 @ SV37 )
= $false )
| ( ( r1 @ SV10 @ SV31 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(367,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV38: $i,SV32: $i] :
( ( ( p104 @ SV32 )
= $false )
| ( ( p104 @ SV38 )
= $false )
| ( ( p5 @ SV38 )
= $true )
| ( ( r1 @ SV32 @ SV38 )
= $false )
| ( ( p5 @ SV32 )
= $false )
| ( ( r1 @ SV10 @ SV32 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(368,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) )
| ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(369,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(370,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV45: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV45 )
| ~ ( ~ ( r1 @ SV45 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(371,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV46: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV46 )
| ~ ( ~ ( r1 @ SV46 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(372,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( ~ ( ~ ( r1 @ SV43 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) ) ) )
= $true )
| ( ( ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(373,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( ~ ( ~ ( r1 @ SV44 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) ) ) )
= $true )
| ( ( ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(374,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( r1 @ SV39 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(375,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(376,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( r1 @ SV40 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(377,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( ~ ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(378,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV35: $i,SV41: $i] :
( ( ( p6 @ SV41 )
= $false )
| ( ( r1 @ SV35 @ SV41 )
= $false )
| ( ( ~ ( p105 @ SV41 ) )
= $true )
| ( ( p6 @ SV35 )
= $true )
| ( ( ~ ( p105 @ SV35 ) )
= $true )
| ( ( r1 @ SV10 @ SV35 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(379,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV36: $i,SV42: $i] :
( ( ( p105 @ SV42 )
= $false )
| ( ( p6 @ SV42 )
= $true )
| ( ( r1 @ SV36 @ SV42 )
= $false )
| ( ( ~ ( p6 @ SV36 ) )
= $true )
| ( ( ~ ( p105 @ SV36 ) )
= $true )
| ( ( r1 @ SV10 @ SV36 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(380,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(381,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(382,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(383,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(384,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV45: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV45 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV45 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(385,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV46: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV46 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV46 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(386,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( ~ ( r1 @ SV43 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(387,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( ~ ( r1 @ SV44 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(388,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( p101 @ SV39 )
= $true )
| ( ( ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV39 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(389,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(390,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( p101 @ SV40 )
= $true )
| ( ( ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV40 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(391,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) )
| ~ ( p101 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(392,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV35: $i,SV41: $i] :
( ( ( p105 @ SV41 )
= $false )
| ( ( r1 @ SV35 @ SV41 )
= $false )
| ( ( p6 @ SV41 )
= $false )
| ( ( p6 @ SV35 )
= $true )
| ( ( ~ ( p105 @ SV35 ) )
= $true )
| ( ( r1 @ SV10 @ SV35 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(393,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV42: $i,SV36: $i] :
( ( ( p6 @ SV36 )
= $false )
| ( ( r1 @ SV36 @ SV42 )
= $false )
| ( ( p6 @ SV42 )
= $true )
| ( ( p105 @ SV42 )
= $false )
| ( ( ~ ( p105 @ SV36 ) )
= $true )
| ( ( r1 @ SV10 @ SV36 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(394,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ! [SY229: $i] :
( ~ ( r1 @ SV10 @ SY229 )
| ~ ( ~ ( r1 @ SY229 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SY229 @ SV10 @ SY229 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY229 )
| ~ ( p104 @ SY229 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[380]) ).
thf(395,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ! [SY230: $i] :
( ~ ( r1 @ SV10 @ SY230 )
| ~ ( ~ ( r1 @ SY230 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SY230 @ SV10 @ SY230 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SY230 )
| ~ ( p104 @ SY230 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(396,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ! [SY231: $i] :
( ~ ( r1 @ SV10 @ SY231 )
| ~ ( ~ ( r1 @ SY231 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SY231 @ SV10 @ SY231 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY231 )
| ~ ( p103 @ SY231 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(397,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i] :
( ( ( ! [SY232: $i] :
( ~ ( r1 @ SV10 @ SY232 )
| ~ ( ~ ( r1 @ SY232 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SY232 @ SV10 @ SY232 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SY232 )
| ~ ( p103 @ SY232 ) ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(398,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV45: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV45 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(399,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV46: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV46 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) ) )
| ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(400,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( ~ ( r1 @ SV43 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[386]) ).
thf(401,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[386]) ).
thf(402,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( ~ ( r1 @ SV44 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[387]) ).
thf(403,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[387]) ).
thf(404,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( p100 @ SV39 )
= $false )
| ( ( p101 @ SV39 )
= $true )
| ( ( r1 @ SV39 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(405,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ~ ( p2 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[389]) ).
thf(406,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( ~ ( p101 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[389]) ).
thf(407,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( p100 @ SV40 )
= $false )
| ( ( p101 @ SV40 )
= $true )
| ( ( r1 @ SV40 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(408,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( ~ ~ ( ~ ( p2 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[391]) ).
thf(409,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( ~ ( p101 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[391]) ).
thf(410,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV41: $i,SV35: $i] :
( ( ( p105 @ SV35 )
= $false )
| ( ( p6 @ SV35 )
= $true )
| ( ( p6 @ SV41 )
= $false )
| ( ( r1 @ SV35 @ SV41 )
= $false )
| ( ( p105 @ SV41 )
= $false )
| ( ( r1 @ SV10 @ SV35 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(411,plain,
! [SV5: $i,SV7: $i,SV9: $i,SV10: $i,SV42: $i,SV36: $i] :
( ( ( p105 @ SV36 )
= $false )
| ( ( p105 @ SV42 )
= $false )
| ( ( p6 @ SV42 )
= $true )
| ( ( r1 @ SV36 @ SV42 )
= $false )
| ( ( p6 @ SV36 )
= $false )
| ( ( r1 @ SV10 @ SV36 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(412,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV47: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV47 )
| ~ ( ~ ( r1 @ SV47 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(413,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV48: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV48 )
| ~ ( ~ ( r1 @ SV48 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(414,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV49: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV49 )
| ~ ( ~ ( r1 @ SV49 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(415,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV50: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV50 )
| ~ ( ~ ( r1 @ SV50 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(416,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( ~ ( ~ ( r1 @ SV45 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) ) ) )
= $true )
| ( ( ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(417,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( ~ ( ~ ( r1 @ SV46 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) ) ) )
= $true )
| ( ( ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(418,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( r1 @ SV43 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(419,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(420,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( r1 @ SV44 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[402]) ).
thf(421,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( ~ ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(422,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( ~ ( ~ ~ ( p2 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(423,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( p101 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[406]) ).
thf(424,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( ~ ( ~ ( p2 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[408]) ).
thf(425,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( p101 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[409]) ).
thf(426,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV47: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV47 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV47 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(427,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV48: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV48 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV48 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(428,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV49: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV49 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV49 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(429,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV50: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV50 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV50 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(430,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( ~ ( r1 @ SV45 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(431,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( ~ ( r1 @ SV46 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(432,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( p102 @ SV43 )
= $true )
| ( ( ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV43 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(433,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(434,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( p102 @ SV44 )
= $true )
| ( ( ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV44 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(435,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) )
| ~ ( p102 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(436,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( ~ ~ ( p2 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(437,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( p101 @ SV39 )
= $true )
| ( ( ~ ( p100 @ SV39 ) )
= $true )
| ( ( p101 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(438,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( ~ ( p2 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
| ~ ~ ( p102 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(439,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( p101 @ SV40 )
= $true )
| ( ( ~ ( p100 @ SV40 ) )
= $true )
| ( ( p101 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(440,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV47: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV47 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(441,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV48: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV48 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) ) )
| ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(442,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV49: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV49 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(443,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV50: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV50 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) ) )
| ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(444,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( ~ ( r1 @ SV45 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(445,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(446,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( ~ ( r1 @ SV46 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[431]) ).
thf(447,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[431]) ).
thf(448,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( p101 @ SV43 )
= $false )
| ( ( p102 @ SV43 )
= $true )
| ( ( r1 @ SV43 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(449,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( p3 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[433]) ).
thf(450,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( ~ ( p102 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[433]) ).
thf(451,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( p101 @ SV44 )
= $false )
| ( ( p102 @ SV44 )
= $true )
| ( ( r1 @ SV44 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(452,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( ~ ~ ( ~ ( p3 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[435]) ).
thf(453,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( ~ ( p102 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[435]) ).
thf(454,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( ~ ~ ( p2 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[436]) ).
thf(455,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( ~ ~ ( p102 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[436]) ).
thf(456,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( p100 @ SV39 )
= $false )
| ( ( p101 @ SV39 )
= $true )
| ( ( p101 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(457,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( ~ ( p2 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[438]) ).
thf(458,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( ~ ~ ( p102 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[438]) ).
thf(459,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( p100 @ SV40 )
= $false )
| ( ( p101 @ SV40 )
= $true )
| ( ( p101 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(460,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( ~ ( ~ ( r1 @ SV47 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) ) ) )
= $true )
| ( ( ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(461,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( ~ ( ~ ( r1 @ SV48 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) ) ) )
= $true )
| ( ( ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(462,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( ~ ( ~ ( r1 @ SV49 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) ) ) )
= $true )
| ( ( ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(463,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( ~ ( ~ ( r1 @ SV50 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) ) ) )
= $true )
| ( ( ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(464,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( r1 @ SV45 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(465,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[445]) ).
thf(466,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( r1 @ SV46 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(467,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( ~ ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(468,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( p3 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(469,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( p102 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(470,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( ~ ( ~ ( p3 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(471,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( p102 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(472,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( ~ ( p2 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) )
= $true )
| ( ( ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[454]) ).
thf(473,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( ~ ( p102 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) ) )
= $true )
| ( ( ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[455]) ).
thf(474,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( p2 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(475,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( ~ ( p102 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) ) )
= $true )
| ( ( ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(476,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( ~ ( r1 @ SV47 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(477,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( ~ ( r1 @ SV48 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(478,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( ~ ( r1 @ SV49 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(479,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( ~ ( r1 @ SV50 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
| ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(480,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( p103 @ SV45 )
= $true )
| ( ( ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV45 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(481,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(482,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( p103 @ SV46 )
= $true )
| ( ( ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV46 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(483,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) )
| ~ ( p103 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(484,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( ~ ~ ( p3 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(485,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( p102 @ SV43 )
= $true )
| ( ( ~ ( p101 @ SV43 ) )
= $true )
| ( ( p102 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[469]) ).
thf(486,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( ~ ( p3 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
| ~ ~ ( p103 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(487,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( p102 @ SV44 )
= $true )
| ( ( ~ ( p101 @ SV44 ) )
= $true )
| ( ( p102 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(488,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( p2 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
= $false )
| ( ( ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(489,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( p102 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
= $false )
| ( ( ( p101 @ SV39 )
| ~ ( p100 @ SV39 ) )
= $true )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(490,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( p101 @ SV40 )
= $true )
| ( ( ~ ( p100 @ SV40 ) )
= $true )
| ( ( p2 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(491,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( p102 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
= $false )
| ( ( ( p101 @ SV40 )
| ~ ( p100 @ SV40 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(492,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( ~ ( r1 @ SV47 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(493,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(494,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( ~ ( r1 @ SV48 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(495,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(496,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( ~ ( r1 @ SV49 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(497,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(498,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( ~ ( r1 @ SV50 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(499,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(500,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( p102 @ SV45 )
= $false )
| ( ( p103 @ SV45 )
= $true )
| ( ( r1 @ SV45 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(501,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( ~ ~ ( ~ ~ ( p4 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(502,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( ~ ( p103 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(503,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( p102 @ SV46 )
= $false )
| ( ( p103 @ SV46 )
= $true )
| ( ( r1 @ SV46 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(504,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( ~ ~ ( ~ ( p4 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[483]) ).
thf(505,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( ~ ( p103 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[483]) ).
thf(506,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( ~ ~ ( p3 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(507,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( ~ ~ ( p103 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(508,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( p101 @ SV43 )
= $false )
| ( ( p102 @ SV43 )
= $true )
| ( ( p102 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(509,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( ~ ( p3 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(510,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( ~ ~ ( p103 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(511,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( p101 @ SV44 )
= $false )
| ( ( p102 @ SV44 )
= $true )
| ( ( p102 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(512,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( p101 @ SV39 )
= $true )
| ( ( ~ ( p100 @ SV39 ) )
= $true )
| ( ( p2 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(513,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( p101 @ SV39 )
= $true )
| ( ( ~ ( p100 @ SV39 ) )
= $true )
| ( ( p102 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(514,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( p100 @ SV40 )
= $false )
| ( ( p101 @ SV40 )
= $true )
| ( ( p2 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(515,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( p101 @ SV40 )
= $true )
| ( ( ~ ( p100 @ SV40 ) )
= $true )
| ( ( p102 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[491]) ).
thf(516,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( r1 @ SV47 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(517,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(518,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( r1 @ SV48 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[494]) ).
thf(519,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( ~ ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[495]) ).
thf(520,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( r1 @ SV49 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(521,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(522,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( r1 @ SV50 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(523,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( ~ ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(524,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( ~ ( ~ ~ ( p4 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(525,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( p103 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[502]) ).
thf(526,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( ~ ( ~ ( p4 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[504]) ).
thf(527,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( p103 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(528,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( ~ ( p3 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) )
= $true )
| ( ( ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[506]) ).
thf(529,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( ~ ( p103 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) ) )
= $true )
| ( ( ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(530,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( p3 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(531,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( ~ ( p103 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) ) )
= $true )
| ( ( ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(532,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( p100 @ SV39 )
= $false )
| ( ( p101 @ SV39 )
= $true )
| ( ( p2 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(533,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV39: $i] :
( ( ( p100 @ SV39 )
= $false )
| ( ( p101 @ SV39 )
= $true )
| ( ( p102 @ ( sK3_X @ SV39 @ SV10 @ SV39 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV39 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(534,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV40: $i] :
( ( ( p100 @ SV40 )
= $false )
| ( ( p101 @ SV40 )
= $true )
| ( ( p102 @ ( sK2_X @ SV40 @ SV10 @ SV40 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV40 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(535,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( p105 @ SV47 )
= $true )
| ( ( ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV47 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(536,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(537,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( p105 @ SV48 )
= $true )
| ( ( ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV48 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[518]) ).
thf(538,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) )
| ~ ( p105 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(539,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( p104 @ SV49 )
= $true )
| ( ( ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV49 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(540,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(541,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( p104 @ SV50 )
= $true )
| ( ( ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV50 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(542,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) )
| ~ ( p104 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(543,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( ~ ~ ( p4 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(544,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( p103 @ SV45 )
= $true )
| ( ( ~ ( p102 @ SV45 ) )
= $true )
| ( ( p103 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[525]) ).
thf(545,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( ~ ( p4 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
| ~ ~ ( p104 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(546,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( p103 @ SV46 )
= $true )
| ( ( ~ ( p102 @ SV46 ) )
= $true )
| ( ( p103 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[527]) ).
thf(547,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( p3 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
= $false )
| ( ( ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(548,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( p103 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
= $false )
| ( ( ( p102 @ SV43 )
| ~ ( p101 @ SV43 ) )
= $true )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(549,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( p102 @ SV44 )
= $true )
| ( ( ~ ( p101 @ SV44 ) )
= $true )
| ( ( p3 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[530]) ).
thf(550,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( p103 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
= $false )
| ( ( ( p102 @ SV44 )
| ~ ( p101 @ SV44 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(551,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( p104 @ SV47 )
= $false )
| ( ( p105 @ SV47 )
= $true )
| ( ( r1 @ SV47 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(552,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ~ ( p6 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[536]) ).
thf(553,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( ~ ( p105 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[536]) ).
thf(554,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( p104 @ SV48 )
= $false )
| ( ( p105 @ SV48 )
= $true )
| ( ( r1 @ SV48 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(555,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( ~ ~ ( ~ ( p6 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(556,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( ~ ( p105 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(557,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( p103 @ SV49 )
= $false )
| ( ( p104 @ SV49 )
= $true )
| ( ( r1 @ SV49 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(558,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( p5 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(559,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( ~ ( p104 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(560,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( p103 @ SV50 )
= $false )
| ( ( p104 @ SV50 )
= $true )
| ( ( r1 @ SV50 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(561,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( ~ ~ ( ~ ( p5 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) ) )
= $false )
| ( ( ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[542]) ).
thf(562,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( ~ ( p104 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[542]) ).
thf(563,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( ~ ~ ( p4 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(564,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( ~ ~ ( p104 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(565,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( p102 @ SV45 )
= $false )
| ( ( p103 @ SV45 )
= $true )
| ( ( p103 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(566,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( ~ ( p4 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(567,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( ~ ~ ( p104 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(568,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( p102 @ SV46 )
= $false )
| ( ( p103 @ SV46 )
= $true )
| ( ( p103 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(569,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( p102 @ SV43 )
= $true )
| ( ( ~ ( p101 @ SV43 ) )
= $true )
| ( ( p3 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[547]) ).
thf(570,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( p102 @ SV43 )
= $true )
| ( ( ~ ( p101 @ SV43 ) )
= $true )
| ( ( p103 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[548]) ).
thf(571,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( p101 @ SV44 )
= $false )
| ( ( p102 @ SV44 )
= $true )
| ( ( p3 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(572,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( p102 @ SV44 )
= $true )
| ( ( ~ ( p101 @ SV44 ) )
= $true )
| ( ( p103 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[550]) ).
thf(573,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( ~ ( ~ ~ ( p6 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[552]) ).
thf(574,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( p105 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(575,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( ~ ( ~ ( p6 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(576,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( p105 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(577,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( ~ ( ~ ~ ( p5 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(578,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( p104 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[559]) ).
thf(579,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( ~ ( ~ ( p5 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(580,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( p104 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(581,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( ~ ( p4 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) )
= $true )
| ( ( ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(582,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( ~ ( p104 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) ) )
= $true )
| ( ( ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[564]) ).
thf(583,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( p4 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(584,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( ~ ( p104 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) ) )
= $true )
| ( ( ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(585,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( p101 @ SV43 )
= $false )
| ( ( p102 @ SV43 )
= $true )
| ( ( p3 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(586,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV43: $i] :
( ( ( p101 @ SV43 )
= $false )
| ( ( p102 @ SV43 )
= $true )
| ( ( p103 @ ( sK5_X @ SV43 @ SV10 @ SV43 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV43 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(587,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV44: $i] :
( ( ( p101 @ SV44 )
= $false )
| ( ( p102 @ SV44 )
= $true )
| ( ( p103 @ ( sK4_X @ SV44 @ SV10 @ SV44 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV44 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(588,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( ~ ~ ( p6 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(589,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( p105 @ SV47 )
= $true )
| ( ( ~ ( p104 @ SV47 ) )
= $true )
| ( ( p105 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[574]) ).
thf(590,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( ~ ( p6 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
| ~ ~ ( p106 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(591,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( p105 @ SV48 )
= $true )
| ( ( ~ ( p104 @ SV48 ) )
= $true )
| ( ( p105 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(592,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( ~ ~ ( p5 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(593,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( p104 @ SV49 )
= $true )
| ( ( ~ ( p103 @ SV49 ) )
= $true )
| ( ( p104 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(594,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( ~ ( p5 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
| ~ ~ ( p105 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(595,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( p104 @ SV50 )
= $true )
| ( ( ~ ( p103 @ SV50 ) )
= $true )
| ( ( p104 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(596,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( p4 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
= $false )
| ( ( ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(597,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( p104 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
= $false )
| ( ( ( p103 @ SV45 )
| ~ ( p102 @ SV45 ) )
= $true )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(598,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( p103 @ SV46 )
= $true )
| ( ( ~ ( p102 @ SV46 ) )
= $true )
| ( ( p4 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[583]) ).
thf(599,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( p104 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
= $false )
| ( ( ( p103 @ SV46 )
| ~ ( p102 @ SV46 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(600,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( ~ ~ ( p6 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(601,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( ~ ~ ( p106 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(602,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( p104 @ SV47 )
= $false )
| ( ( p105 @ SV47 )
= $true )
| ( ( p105 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(603,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( ~ ( p6 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(604,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( ~ ~ ( p106 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(605,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( p104 @ SV48 )
= $false )
| ( ( p105 @ SV48 )
= $true )
| ( ( p105 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(606,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( ~ ~ ( p5 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[592]) ).
thf(607,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( ~ ~ ( p105 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[592]) ).
thf(608,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( p103 @ SV49 )
= $false )
| ( ( p104 @ SV49 )
= $true )
| ( ( p104 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(609,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( ~ ( p5 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[594]) ).
thf(610,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( ~ ~ ( p105 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[594]) ).
thf(611,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( p103 @ SV50 )
= $false )
| ( ( p104 @ SV50 )
= $true )
| ( ( p104 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(612,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( p103 @ SV45 )
= $true )
| ( ( ~ ( p102 @ SV45 ) )
= $true )
| ( ( p4 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[596]) ).
thf(613,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( p103 @ SV45 )
= $true )
| ( ( ~ ( p102 @ SV45 ) )
= $true )
| ( ( p104 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(614,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( p102 @ SV46 )
= $false )
| ( ( p103 @ SV46 )
= $true )
| ( ( p4 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(615,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( p103 @ SV46 )
= $true )
| ( ( ~ ( p102 @ SV46 ) )
= $true )
| ( ( p104 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[599]) ).
thf(616,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( ~ ( p6 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) )
= $true )
| ( ( ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(617,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( ~ ( p106 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) ) )
= $true )
| ( ( ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[601]) ).
thf(618,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( p6 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[603]) ).
thf(619,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( ~ ( p106 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) ) )
= $true )
| ( ( ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[604]) ).
thf(620,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( ~ ( p5 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) )
= $true )
| ( ( ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[606]) ).
thf(621,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( ~ ( p105 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) ) )
= $true )
| ( ( ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[607]) ).
thf(622,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( p5 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
= $true )
| ( ( ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[609]) ).
thf(623,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( ~ ( p105 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) ) )
= $true )
| ( ( ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(624,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( p102 @ SV45 )
= $false )
| ( ( p103 @ SV45 )
= $true )
| ( ( p4 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(625,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV45: $i] :
( ( ( p102 @ SV45 )
= $false )
| ( ( p103 @ SV45 )
= $true )
| ( ( p104 @ ( sK7_X @ SV45 @ SV10 @ SV45 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV45 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(626,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV46: $i] :
( ( ( p102 @ SV46 )
= $false )
| ( ( p103 @ SV46 )
= $true )
| ( ( p104 @ ( sK6_X @ SV46 @ SV10 @ SV46 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV46 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(627,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( p6 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
= $false )
| ( ( ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(628,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( p106 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
= $false )
| ( ( ( p105 @ SV47 )
| ~ ( p104 @ SV47 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(629,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( p105 @ SV48 )
= $true )
| ( ( ~ ( p104 @ SV48 ) )
= $true )
| ( ( p6 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(630,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( p106 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
= $false )
| ( ( ( p105 @ SV48 )
| ~ ( p104 @ SV48 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(631,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( p5 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
= $false )
| ( ( ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(632,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( p105 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
= $false )
| ( ( ( p104 @ SV49 )
| ~ ( p103 @ SV49 ) )
= $true )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(633,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( p104 @ SV50 )
= $true )
| ( ( ~ ( p103 @ SV50 ) )
= $true )
| ( ( p5 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(634,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( p105 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
= $false )
| ( ( ( p104 @ SV50 )
| ~ ( p103 @ SV50 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(635,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( p105 @ SV47 )
= $true )
| ( ( ~ ( p104 @ SV47 ) )
= $true )
| ( ( p6 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(636,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( p105 @ SV47 )
= $true )
| ( ( ~ ( p104 @ SV47 ) )
= $true )
| ( ( p106 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(637,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( p104 @ SV48 )
= $false )
| ( ( p105 @ SV48 )
= $true )
| ( ( p6 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(638,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( p105 @ SV48 )
= $true )
| ( ( ~ ( p104 @ SV48 ) )
= $true )
| ( ( p106 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[630]) ).
thf(639,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( p104 @ SV49 )
= $true )
| ( ( ~ ( p103 @ SV49 ) )
= $true )
| ( ( p5 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[631]) ).
thf(640,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( p104 @ SV49 )
= $true )
| ( ( ~ ( p103 @ SV49 ) )
= $true )
| ( ( p105 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[632]) ).
thf(641,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( p103 @ SV50 )
= $false )
| ( ( p104 @ SV50 )
= $true )
| ( ( p5 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
= $true )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(642,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( p104 @ SV50 )
= $true )
| ( ( ~ ( p103 @ SV50 ) )
= $true )
| ( ( p105 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(643,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( p104 @ SV47 )
= $false )
| ( ( p105 @ SV47 )
= $true )
| ( ( p6 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(644,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV47: $i] :
( ( ( p104 @ SV47 )
= $false )
| ( ( p105 @ SV47 )
= $true )
| ( ( p106 @ ( sK11_X @ SV47 @ SV10 @ SV47 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(645,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV48: $i] :
( ( ( p104 @ SV48 )
= $false )
| ( ( p105 @ SV48 )
= $true )
| ( ( p106 @ ( sK10_X @ SV48 @ SV10 @ SV48 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV48 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(646,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( p103 @ SV49 )
= $false )
| ( ( p104 @ SV49 )
= $true )
| ( ( p5 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(647,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV49: $i] :
( ( ( p103 @ SV49 )
= $false )
| ( ( p104 @ SV49 )
= $true )
| ( ( p105 @ ( sK9_X @ SV49 @ SV10 @ SV49 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV49 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(648,plain,
! [SV7: $i,SV9: $i,SV5: $i,SV10: $i,SV50: $i] :
( ( ( p103 @ SV50 )
= $false )
| ( ( p104 @ SV50 )
= $true )
| ( ( p105 @ ( sK8_X @ SV50 @ SV10 @ SV50 @ SV10 @ SV5 ) )
= $false )
| ( ( r1 @ SV10 @ SV50 )
= $false )
| ( ( r1 @ SV9 @ SV10 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(649,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,648,647,646,645,644,643,641,637,626,625,624,614,611,608,605,602,587,586,585,571,568,565,560,557,554,551,534,533,532,514,511,508,503,500,459,456,451,448,411,410,407,404,367,366,331,330,297,296,263,262,229,228,125,114,104,94,84,74,50,35,24]) ).
thf(650,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[649]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL656+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 4 18:54:37 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.68/0.82
% 0.68/0.82 No.of.Axioms: 1
% 0.68/0.82
% 0.68/0.82 Length.of.Defs: 0
% 0.68/0.82
% 0.68/0.82 Contains.Choice.Funs: false
% 0.68/0.84 .
% 0.97/1.14 (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)...............................................................................................................................
% 14.43/14.58
% 14.43/14.58 ********************************
% 14.43/14.58 * All subproblems solved! *
% 14.43/14.58 ********************************
% 14.43/14.58 % SZS status Theorem for /export/starexec/sandbox/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:69,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:649,loop_count:0,foatp_calls:1,translation:fof_full)
% 14.78/15.00
% 14.78/15.00 %**** Beginning of derivation protocol ****
% 14.78/15.00 % SZS output start CNFRefutation
% See solution above
% 14.78/15.00
% 14.78/15.00 %**** End of derivation protocol ****
% 14.78/15.00 %**** no. of clauses in derivation: 650 ****
% 14.78/15.00 %**** clause counter: 649 ****
% 14.78/15.00
% 14.78/15.00 % SZS status Theorem for /export/starexec/sandbox/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:69,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:649,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------