%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:29:55 AM UTC 2026
% Result : Theorem 3.07s 0.72s
% Output : CNFRefutation 3.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 3
% Syntax : Number of formulae : 543 ( 41 unt; 0 typ; 0 def)
% Number of atoms : 9499 (1445 equ; 0 cnn)
% Maximal formula atoms : 140 ( 17 avg)
% Number of connectives : 26096 (10132 ~;5800 |; 263 &;9898 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 35 usr; 6 con; 0-2 aty)
% Number of variables : 1856 ( 0 ^;1851 !; 5 ?;1856 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_p1,type,
p1: $i > $o ).
thf(tp_p10,type,
p10: $i > $o ).
thf(tp_p11,type,
p11: $i > $o ).
thf(tp_p12,type,
p12: $i > $o ).
thf(tp_p13,type,
p13: $i > $o ).
thf(tp_p14,type,
p14: $i > $o ).
thf(tp_p15,type,
p15: $i > $o ).
thf(tp_p2,type,
p2: $i > $o ).
thf(tp_p3,type,
p3: $i > $o ).
thf(tp_p4,type,
p4: $i > $o ).
thf(tp_p5,type,
p5: $i > $o ).
thf(tp_p6,type,
p6: $i > $o ).
thf(tp_p7,type,
p7: $i > $o ).
thf(tp_p8,type,
p8: $i > $o ).
thf(tp_p9,type,
p9: $i > $o ).
thf(tp_r1,type,
r1: $i > $i > $o ).
thf(tp_sK10_SY176,type,
sK10_SY176: $i > $i ).
thf(tp_sK11_SY196,type,
sK11_SY196: $i > $i ).
thf(tp_sK12_SY214,type,
sK12_SY214: $i > $i ).
thf(tp_sK13_SY230,type,
sK13_SY230: $i > $i ).
thf(tp_sK14_SY244,type,
sK14_SY244: $i > $i ).
thf(tp_sK15_SY256,type,
sK15_SY256: $i > $i ).
thf(tp_sK16_SY266,type,
sK16_SY266: $i > $i ).
thf(tp_sK17_SY274,type,
sK17_SY274: $i > $i ).
thf(tp_sK18_SY280,type,
sK18_SY280: $i > $i ).
thf(tp_sK19_SY284,type,
sK19_SY284: $i > $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY39,type,
sK2_SY39: $i ).
thf(tp_sK3_SY41,type,
sK3_SY41: $i ).
thf(tp_sK4_SY72,type,
sK4_SY72: $i ).
thf(tp_sK5_SY129,type,
sK5_SY129: $i > $i ).
thf(tp_sK6_SY128,type,
sK6_SY128: $i > $i ).
thf(tp_sK7_SY102,type,
sK7_SY102: $i > $i ).
thf(tp_sK8_SY130,type,
sK8_SY130: $i > $i ).
thf(tp_sK9_SY154,type,
sK9_SY154: $i > $i ).
thf(1,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( r1 @ X @ Y )
& ( r1 @ Y @ Z ) )
=> ( r1 @ X @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
thf(2,axiom,
! [X: $i] : ( r1 @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(3,conjecture,
~ ? [X: $i] :
~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p15 @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| $false )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p14 @ Y )
& ~ ( p13 @ Y ) )
| ( ~ ( p14 @ Y )
& ( p13 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p13 @ X )
& ~ ( p12 @ X ) )
| ( ~ ( p13 @ X )
& ( p12 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p12 @ Y )
& ~ ( p11 @ Y ) )
| ( ~ ( p12 @ Y )
& ( p11 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p11 @ X )
& ~ ( p10 @ X ) )
| ( ~ ( p11 @ X )
& ( p10 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p10 @ Y )
& ~ ( p9 @ Y ) )
| ( ~ ( p10 @ Y )
& ( p9 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p9 @ X )
& ~ ( p8 @ X ) )
| ( ~ ( p9 @ X )
& ( p8 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p8 @ Y )
& ~ ( p7 @ Y ) )
| ( ~ ( p8 @ Y )
& ( p7 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p7 @ X )
& ~ ( p6 @ X ) )
| ( ~ ( p7 @ X )
& ( p6 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p6 @ Y )
& ~ ( p5 @ Y ) )
| ( ~ ( p6 @ Y )
& ( p5 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p5 @ X )
& ~ ( p4 @ X ) )
| ( ~ ( p5 @ X )
& ( p4 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p4 @ Y )
& ~ ( p3 @ Y ) )
| ( ~ ( p4 @ Y )
& ( p3 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p3 @ X )
& ~ ( p2 @ X ) )
| ( ~ ( p3 @ X )
& ( p2 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p2 @ Y )
& ~ ( p1 @ Y ) )
| ( ~ ( p2 @ Y )
& ( p1 @ Y ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p15 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ~ ( p13 @ Y )
& ~ ( p14 @ Y ) )
| ( ( p14 @ Y )
& ( p13 @ Y ) )
| ( ~ ( p12 @ Y )
& ~ ( p13 @ Y ) )
| ( ( p13 @ Y )
& ( p12 @ Y ) )
| ( ~ ( p11 @ Y )
& ~ ( p12 @ Y ) )
| ( ( p12 @ Y )
& ( p11 @ Y ) )
| ( ~ ( p10 @ Y )
& ~ ( p11 @ Y ) )
| ( ( p11 @ Y )
& ( p10 @ Y ) )
| ( ~ ( p9 @ Y )
& ~ ( p10 @ Y ) )
| ( ( p10 @ Y )
& ( p9 @ Y ) )
| ( ~ ( p8 @ Y )
& ~ ( p9 @ Y ) )
| ( ( p9 @ Y )
& ( p8 @ Y ) )
| ( ~ ( p7 @ Y )
& ~ ( p8 @ Y ) )
| ( ( p8 @ Y )
& ( p7 @ Y ) )
| ( ~ ( p6 @ Y )
& ~ ( p7 @ Y ) )
| ( ( p7 @ Y )
& ( p6 @ Y ) )
| ( ~ ( p5 @ Y )
& ~ ( p6 @ Y ) )
| ( ( p6 @ Y )
& ( p5 @ Y ) )
| ( ~ ( p4 @ Y )
& ~ ( p5 @ Y ) )
| ( ( p5 @ Y )
& ( p4 @ Y ) )
| ( ~ ( p3 @ Y )
& ~ ( p4 @ Y ) )
| ( ( p4 @ Y )
& ( p3 @ Y ) )
| ( ~ ( p2 @ Y )
& ~ ( p3 @ Y ) )
| ( ( p3 @ Y )
& ( p2 @ Y ) )
| ( ~ ( p1 @ Y )
& ~ ( p2 @ Y ) )
| ( ( p2 @ Y )
& ( p1 @ Y ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
thf(4,negated_conjecture,
( ( ~ ? [X: $i] :
~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p15 @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| $false )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p14 @ Y )
& ~ ( p13 @ Y ) )
| ( ~ ( p14 @ Y )
& ( p13 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p13 @ X )
& ~ ( p12 @ X ) )
| ( ~ ( p13 @ X )
& ( p12 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p12 @ Y )
& ~ ( p11 @ Y ) )
| ( ~ ( p12 @ Y )
& ( p11 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p11 @ X )
& ~ ( p10 @ X ) )
| ( ~ ( p11 @ X )
& ( p10 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p10 @ Y )
& ~ ( p9 @ Y ) )
| ( ~ ( p10 @ Y )
& ( p9 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p9 @ X )
& ~ ( p8 @ X ) )
| ( ~ ( p9 @ X )
& ( p8 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p8 @ Y )
& ~ ( p7 @ Y ) )
| ( ~ ( p8 @ Y )
& ( p7 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p7 @ X )
& ~ ( p6 @ X ) )
| ( ~ ( p7 @ X )
& ( p6 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p6 @ Y )
& ~ ( p5 @ Y ) )
| ( ~ ( p6 @ Y )
& ( p5 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p5 @ X )
& ~ ( p4 @ X ) )
| ( ~ ( p5 @ X )
& ( p4 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p4 @ Y )
& ~ ( p3 @ Y ) )
| ( ~ ( p4 @ Y )
& ( p3 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p3 @ X )
& ~ ( p2 @ X ) )
| ( ~ ( p3 @ X )
& ( p2 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p2 @ Y )
& ~ ( p1 @ Y ) )
| ( ~ ( p2 @ Y )
& ( p1 @ Y ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p15 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ~ ( p13 @ Y )
& ~ ( p14 @ Y ) )
| ( ( p14 @ Y )
& ( p13 @ Y ) )
| ( ~ ( p12 @ Y )
& ~ ( p13 @ Y ) )
| ( ( p13 @ Y )
& ( p12 @ Y ) )
| ( ~ ( p11 @ Y )
& ~ ( p12 @ Y ) )
| ( ( p12 @ Y )
& ( p11 @ Y ) )
| ( ~ ( p10 @ Y )
& ~ ( p11 @ Y ) )
| ( ( p11 @ Y )
& ( p10 @ Y ) )
| ( ~ ( p9 @ Y )
& ~ ( p10 @ Y ) )
| ( ( p10 @ Y )
& ( p9 @ Y ) )
| ( ~ ( p8 @ Y )
& ~ ( p9 @ Y ) )
| ( ( p9 @ Y )
& ( p8 @ Y ) )
| ( ~ ( p7 @ Y )
& ~ ( p8 @ Y ) )
| ( ( p8 @ Y )
& ( p7 @ Y ) )
| ( ~ ( p6 @ Y )
& ~ ( p7 @ Y ) )
| ( ( p7 @ Y )
& ( p6 @ Y ) )
| ( ~ ( p5 @ Y )
& ~ ( p6 @ Y ) )
| ( ( p6 @ Y )
& ( p5 @ Y ) )
| ( ~ ( p4 @ Y )
& ~ ( p5 @ Y ) )
| ( ( p5 @ Y )
& ( p4 @ Y ) )
| ( ~ ( p3 @ Y )
& ~ ( p4 @ Y ) )
| ( ( p4 @ Y )
& ( p3 @ Y ) )
| ( ~ ( p2 @ Y )
& ~ ( p3 @ Y ) )
| ( ( p3 @ Y )
& ( p2 @ Y ) )
| ( ~ ( p1 @ Y )
& ~ ( p2 @ Y ) )
| ( ( p2 @ Y )
& ( p1 @ Y ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,plain,
( ( ~ ? [X: $i] :
~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p15 @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| $false )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p14 @ Y )
& ~ ( p13 @ Y ) )
| ( ~ ( p14 @ Y )
& ( p13 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p13 @ X )
& ~ ( p12 @ X ) )
| ( ~ ( p13 @ X )
& ( p12 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p12 @ Y )
& ~ ( p11 @ Y ) )
| ( ~ ( p12 @ Y )
& ( p11 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p11 @ X )
& ~ ( p10 @ X ) )
| ( ~ ( p11 @ X )
& ( p10 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p10 @ Y )
& ~ ( p9 @ Y ) )
| ( ~ ( p10 @ Y )
& ( p9 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p9 @ X )
& ~ ( p8 @ X ) )
| ( ~ ( p9 @ X )
& ( p8 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p8 @ Y )
& ~ ( p7 @ Y ) )
| ( ~ ( p8 @ Y )
& ( p7 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p7 @ X )
& ~ ( p6 @ X ) )
| ( ~ ( p7 @ X )
& ( p6 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p6 @ Y )
& ~ ( p5 @ Y ) )
| ( ~ ( p6 @ Y )
& ( p5 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p5 @ X )
& ~ ( p4 @ X ) )
| ( ~ ( p5 @ X )
& ( p4 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p4 @ Y )
& ~ ( p3 @ Y ) )
| ( ~ ( p4 @ Y )
& ( p3 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p3 @ X )
& ~ ( p2 @ X ) )
| ( ~ ( p3 @ X )
& ( p2 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p2 @ Y )
& ~ ( p1 @ Y ) )
| ( ~ ( p2 @ Y )
& ( p1 @ Y ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p15 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ~ ( p13 @ Y )
& ~ ( p14 @ Y ) )
| ( ( p14 @ Y )
& ( p13 @ Y ) )
| ( ~ ( p12 @ Y )
& ~ ( p13 @ Y ) )
| ( ( p13 @ Y )
& ( p12 @ Y ) )
| ( ~ ( p11 @ Y )
& ~ ( p12 @ Y ) )
| ( ( p12 @ Y )
& ( p11 @ Y ) )
| ( ~ ( p10 @ Y )
& ~ ( p11 @ Y ) )
| ( ( p11 @ Y )
& ( p10 @ Y ) )
| ( ~ ( p9 @ Y )
& ~ ( p10 @ Y ) )
| ( ( p10 @ Y )
& ( p9 @ Y ) )
| ( ~ ( p8 @ Y )
& ~ ( p9 @ Y ) )
| ( ( p9 @ Y )
& ( p8 @ Y ) )
| ( ~ ( p7 @ Y )
& ~ ( p8 @ Y ) )
| ( ( p8 @ Y )
& ( p7 @ Y ) )
| ( ~ ( p6 @ Y )
& ~ ( p7 @ Y ) )
| ( ( p7 @ Y )
& ( p6 @ Y ) )
| ( ~ ( p5 @ Y )
& ~ ( p6 @ Y ) )
| ( ( p6 @ Y )
& ( p5 @ Y ) )
| ( ~ ( p4 @ Y )
& ~ ( p5 @ Y ) )
| ( ( p5 @ Y )
& ( p4 @ Y ) )
| ( ~ ( p3 @ Y )
& ~ ( p4 @ Y ) )
| ( ( p4 @ Y )
& ( p3 @ Y ) )
| ( ~ ( p2 @ Y )
& ~ ( p3 @ Y ) )
| ( ( p3 @ Y )
& ( p2 @ Y ) )
| ( ~ ( p1 @ Y )
& ~ ( p2 @ Y ) )
| ( ( p2 @ Y )
& ( p1 @ Y ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( r1 @ X @ Y )
& ( r1 @ Y @ Z ) )
=> ( r1 @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(7,plain,
( ( ! [X: $i] : ( r1 @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(8,plain,
( ( ? [X: $i] :
~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p15 @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| $false )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p14 @ Y )
& ~ ( p13 @ Y ) )
| ( ~ ( p14 @ Y )
& ( p13 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p13 @ X )
& ~ ( p12 @ X ) )
| ( ~ ( p13 @ X )
& ( p12 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p12 @ Y )
& ~ ( p11 @ Y ) )
| ( ~ ( p12 @ Y )
& ( p11 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p11 @ X )
& ~ ( p10 @ X ) )
| ( ~ ( p11 @ X )
& ( p10 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p10 @ Y )
& ~ ( p9 @ Y ) )
| ( ~ ( p10 @ Y )
& ( p9 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p9 @ X )
& ~ ( p8 @ X ) )
| ( ~ ( p9 @ X )
& ( p8 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p8 @ Y )
& ~ ( p7 @ Y ) )
| ( ~ ( p8 @ Y )
& ( p7 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p7 @ X )
& ~ ( p6 @ X ) )
| ( ~ ( p7 @ X )
& ( p6 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p6 @ Y )
& ~ ( p5 @ Y ) )
| ( ~ ( p6 @ Y )
& ( p5 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p5 @ X )
& ~ ( p4 @ X ) )
| ( ~ ( p5 @ X )
& ( p4 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p4 @ Y )
& ~ ( p3 @ Y ) )
| ( ~ ( p4 @ Y )
& ( p3 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p3 @ X )
& ~ ( p2 @ X ) )
| ( ~ ( p3 @ X )
& ( p2 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p2 @ Y )
& ~ ( p1 @ Y ) )
| ( ~ ( p2 @ Y )
& ( p1 @ Y ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p15 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ~ ( p13 @ Y )
& ~ ( p14 @ Y ) )
| ( ( p14 @ Y )
& ( p13 @ Y ) )
| ( ~ ( p12 @ Y )
& ~ ( p13 @ Y ) )
| ( ( p13 @ Y )
& ( p12 @ Y ) )
| ( ~ ( p11 @ Y )
& ~ ( p12 @ Y ) )
| ( ( p12 @ Y )
& ( p11 @ Y ) )
| ( ~ ( p10 @ Y )
& ~ ( p11 @ Y ) )
| ( ( p11 @ Y )
& ( p10 @ Y ) )
| ( ~ ( p9 @ Y )
& ~ ( p10 @ Y ) )
| ( ( p10 @ Y )
& ( p9 @ Y ) )
| ( ~ ( p8 @ Y )
& ~ ( p9 @ Y ) )
| ( ( p9 @ Y )
& ( p8 @ Y ) )
| ( ~ ( p7 @ Y )
& ~ ( p8 @ Y ) )
| ( ( p8 @ Y )
& ( p7 @ Y ) )
| ( ~ ( p6 @ Y )
& ~ ( p7 @ Y ) )
| ( ( p7 @ Y )
& ( p6 @ Y ) )
| ( ~ ( p5 @ Y )
& ~ ( p6 @ Y ) )
| ( ( p6 @ Y )
& ( p5 @ Y ) )
| ( ~ ( p4 @ Y )
& ~ ( p5 @ Y ) )
| ( ( p5 @ Y )
& ( p4 @ Y ) )
| ( ~ ( p3 @ Y )
& ~ ( p4 @ Y ) )
| ( ( p4 @ Y )
& ( p3 @ Y ) )
| ( ~ ( p2 @ Y )
& ~ ( p3 @ Y ) )
| ( ( p3 @ Y )
& ( p2 @ Y ) )
| ( ~ ( p1 @ Y )
& ~ ( p2 @ Y ) )
| ( ( p2 @ Y )
& ( p1 @ Y ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(9,plain,
( ( ! [X: $i] : ( r1 @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(10,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( r1 @ X @ Y )
& ( r1 @ Y @ Z ) )
=> ( r1 @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(11,plain,
( ( ? [X: $i] :
~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p15 @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| $false )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p14 @ Y )
& ~ ( p13 @ Y ) )
| ( ~ ( p14 @ Y )
& ( p13 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p13 @ X )
& ~ ( p12 @ X ) )
| ( ~ ( p13 @ X )
& ( p12 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p12 @ Y )
& ~ ( p11 @ Y ) )
| ( ~ ( p12 @ Y )
& ( p11 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p11 @ X )
& ~ ( p10 @ X ) )
| ( ~ ( p11 @ X )
& ( p10 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p10 @ Y )
& ~ ( p9 @ Y ) )
| ( ~ ( p10 @ Y )
& ( p9 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p9 @ X )
& ~ ( p8 @ X ) )
| ( ~ ( p9 @ X )
& ( p8 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p8 @ Y )
& ~ ( p7 @ Y ) )
| ( ~ ( p8 @ Y )
& ( p7 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p7 @ X )
& ~ ( p6 @ X ) )
| ( ~ ( p7 @ X )
& ( p6 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p6 @ Y )
& ~ ( p5 @ Y ) )
| ( ~ ( p6 @ Y )
& ( p5 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p5 @ X )
& ~ ( p4 @ X ) )
| ( ~ ( p5 @ X )
& ( p4 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p4 @ Y )
& ~ ( p3 @ Y ) )
| ( ~ ( p4 @ Y )
& ( p3 @ Y ) ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ( p3 @ X )
& ~ ( p2 @ X ) )
| ( ~ ( p3 @ X )
& ( p2 @ X ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( ( p2 @ Y )
& ~ ( p1 @ Y ) )
| ( ~ ( p2 @ Y )
& ( p1 @ Y ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p15 @ Y ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ~ ( p13 @ Y )
& ~ ( p14 @ Y ) )
| ( ( p14 @ Y )
& ( p13 @ Y ) )
| ( ~ ( p12 @ Y )
& ~ ( p13 @ Y ) )
| ( ( p13 @ Y )
& ( p12 @ Y ) )
| ( ~ ( p11 @ Y )
& ~ ( p12 @ Y ) )
| ( ( p12 @ Y )
& ( p11 @ Y ) )
| ( ~ ( p10 @ Y )
& ~ ( p11 @ Y ) )
| ( ( p11 @ Y )
& ( p10 @ Y ) )
| ( ~ ( p9 @ Y )
& ~ ( p10 @ Y ) )
| ( ( p10 @ Y )
& ( p9 @ Y ) )
| ( ~ ( p8 @ Y )
& ~ ( p9 @ Y ) )
| ( ( p9 @ Y )
& ( p8 @ Y ) )
| ( ~ ( p7 @ Y )
& ~ ( p8 @ Y ) )
| ( ( p8 @ Y )
& ( p7 @ Y ) )
| ( ~ ( p6 @ Y )
& ~ ( p7 @ Y ) )
| ( ( p7 @ Y )
& ( p6 @ Y ) )
| ( ~ ( p5 @ Y )
& ~ ( p6 @ Y ) )
| ( ( p6 @ Y )
& ( p5 @ Y ) )
| ( ~ ( p4 @ Y )
& ~ ( p5 @ Y ) )
| ( ( p5 @ Y )
& ( p4 @ Y ) )
| ( ~ ( p3 @ Y )
& ~ ( p4 @ Y ) )
| ( ( p4 @ Y )
& ( p3 @ Y ) )
| ( ~ ( p2 @ Y )
& ~ ( p3 @ Y ) )
| ( ( p3 @ Y )
& ( p2 @ Y ) )
| ( ~ ( p1 @ Y )
& ~ ( p2 @ Y ) )
| ( ( p2 @ Y )
& ( p1 @ Y ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p15 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( p1 @ SX2 ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( ~ ( ~ ( p4 @ SX5 )
| ~ ~ ( p3 @ SX5 ) )
| ~ ( ~ ~ ( p4 @ SX5 )
| ~ ( p3 @ SX5 ) ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( ~ ( p3 @ SX4 )
| ~ ~ ( p2 @ SX4 ) )
| ~ ( ~ ~ ( p3 @ SX4 )
| ~ ( p2 @ SX4 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ( ~ ( p2 @ SX3 )
| ~ ~ ( p1 @ SX3 ) )
| ~ ( ~ ~ ( p2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p15 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ~ ( p13 @ SX3 )
| ~ ~ ( p14 @ SX3 ) )
| ~ ( ~ ( p14 @ SX3 )
| ~ ( p13 @ SX3 ) )
| ~ ( ~ ~ ( p12 @ SX3 )
| ~ ~ ( p13 @ SX3 ) )
| ~ ( ~ ( p13 @ SX3 )
| ~ ( p12 @ SX3 ) )
| ~ ( ~ ~ ( p11 @ SX3 )
| ~ ~ ( p12 @ SX3 ) )
| ~ ( ~ ( p12 @ SX3 )
| ~ ( p11 @ SX3 ) )
| ~ ( ~ ~ ( p10 @ SX3 )
| ~ ~ ( p11 @ SX3 ) )
| ~ ( ~ ( p11 @ SX3 )
| ~ ( p10 @ SX3 ) )
| ~ ( ~ ~ ( p9 @ SX3 )
| ~ ~ ( p10 @ SX3 ) )
| ~ ( ~ ( p10 @ SX3 )
| ~ ( p9 @ SX3 ) )
| ~ ( ~ ~ ( p8 @ SX3 )
| ~ ~ ( p9 @ SX3 ) )
| ~ ( ~ ( p9 @ SX3 )
| ~ ( p8 @ SX3 ) )
| ~ ( ~ ~ ( p7 @ SX3 )
| ~ ~ ( p8 @ SX3 ) )
| ~ ( ~ ( p8 @ SX3 )
| ~ ( p7 @ SX3 ) )
| ~ ( ~ ~ ( p6 @ SX3 )
| ~ ~ ( p7 @ SX3 ) )
| ~ ( ~ ( p7 @ SX3 )
| ~ ( p6 @ SX3 ) )
| ~ ( ~ ~ ( p5 @ SX3 )
| ~ ~ ( p6 @ SX3 ) )
| ~ ( ~ ( p6 @ SX3 )
| ~ ( p5 @ SX3 ) )
| ~ ( ~ ~ ( p4 @ SX3 )
| ~ ~ ( p5 @ SX3 ) )
| ~ ( ~ ( p5 @ SX3 )
| ~ ( p4 @ SX3 ) )
| ~ ( ~ ~ ( p3 @ SX3 )
| ~ ~ ( p4 @ SX3 ) )
| ~ ( ~ ( p4 @ SX3 )
| ~ ( p3 @ SX3 ) )
| ~ ( ~ ~ ( p2 @ SX3 )
| ~ ~ ( p3 @ SX3 ) )
| ~ ( ~ ( p3 @ SX3 )
| ~ ( p2 @ SX3 ) )
| ~ ( ~ ~ ( p1 @ SX3 )
| ~ ~ ( p2 @ SX3 ) )
| ~ ( ~ ( p2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(13,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( r1 @ SX0 @ SX1 )
| ~ ( r1 @ SX1 @ SX2 ) )
| ( r1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(14,plain,
! [SV1: $i] :
( ( r1 @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(15,plain,
( ( ! [SX0: $i] :
~ ~ ( ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p15 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( p1 @ SX2 ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( ~ ( ~ ( p4 @ SX5 )
| ~ ~ ( p3 @ SX5 ) )
| ~ ( ~ ~ ( p4 @ SX5 )
| ~ ( p3 @ SX5 ) ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( ~ ( p3 @ SX4 )
| ~ ~ ( p2 @ SX4 ) )
| ~ ( ~ ~ ( p3 @ SX4 )
| ~ ( p2 @ SX4 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ( ~ ( p2 @ SX3 )
| ~ ~ ( p1 @ SX3 ) )
| ~ ( ~ ~ ( p2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p15 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ~ ( p13 @ SX3 )
| ~ ~ ( p14 @ SX3 ) )
| ~ ( ~ ( p14 @ SX3 )
| ~ ( p13 @ SX3 ) )
| ~ ( ~ ~ ( p12 @ SX3 )
| ~ ~ ( p13 @ SX3 ) )
| ~ ( ~ ( p13 @ SX3 )
| ~ ( p12 @ SX3 ) )
| ~ ( ~ ~ ( p11 @ SX3 )
| ~ ~ ( p12 @ SX3 ) )
| ~ ( ~ ( p12 @ SX3 )
| ~ ( p11 @ SX3 ) )
| ~ ( ~ ~ ( p10 @ SX3 )
| ~ ~ ( p11 @ SX3 ) )
| ~ ( ~ ( p11 @ SX3 )
| ~ ( p10 @ SX3 ) )
| ~ ( ~ ~ ( p9 @ SX3 )
| ~ ~ ( p10 @ SX3 ) )
| ~ ( ~ ( p10 @ SX3 )
| ~ ( p9 @ SX3 ) )
| ~ ( ~ ~ ( p8 @ SX3 )
| ~ ~ ( p9 @ SX3 ) )
| ~ ( ~ ( p9 @ SX3 )
| ~ ( p8 @ SX3 ) )
| ~ ( ~ ~ ( p7 @ SX3 )
| ~ ~ ( p8 @ SX3 ) )
| ~ ( ~ ( p8 @ SX3 )
| ~ ( p7 @ SX3 ) )
| ~ ( ~ ~ ( p6 @ SX3 )
| ~ ~ ( p7 @ SX3 ) )
| ~ ( ~ ( p7 @ SX3 )
| ~ ( p6 @ SX3 ) )
| ~ ( ~ ~ ( p5 @ SX3 )
| ~ ~ ( p6 @ SX3 ) )
| ~ ( ~ ( p6 @ SX3 )
| ~ ( p5 @ SX3 ) )
| ~ ( ~ ~ ( p4 @ SX3 )
| ~ ~ ( p5 @ SX3 ) )
| ~ ( ~ ( p5 @ SX3 )
| ~ ( p4 @ SX3 ) )
| ~ ( ~ ~ ( p3 @ SX3 )
| ~ ~ ( p4 @ SX3 ) )
| ~ ( ~ ( p4 @ SX3 )
| ~ ( p3 @ SX3 ) )
| ~ ( ~ ~ ( p2 @ SX3 )
| ~ ~ ( p3 @ SX3 ) )
| ~ ( ~ ( p3 @ SX3 )
| ~ ( p2 @ SX3 ) )
| ~ ( ~ ~ ( p1 @ SX3 )
| ~ ~ ( p2 @ SX3 ) )
| ~ ( ~ ( p2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(16,plain,
! [SV2: $i] :
( ( ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( r1 @ SV2 @ SY37 )
| ~ ( r1 @ SY37 @ SY38 ) )
| ( r1 @ SV2 @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(17,plain,
( ( ~ ~ ( ! [SY39: $i] :
( ~ ( r1 @ sK1_SX0 @ SY39 )
| ~ ( p15 @ SY39 )
| ! [SX2: $i] :
( ~ ( r1 @ SY39 @ SX2 )
| ~ ( p1 @ SX2 ) ) )
| ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY41 @ SX2 )
| ~ ( ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( ~ ( ~ ( p4 @ SX5 )
| ~ ~ ( p3 @ SX5 ) )
| ~ ( ~ ~ ( p4 @ SX5 )
| ~ ( p3 @ SX5 ) ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( ~ ( p3 @ SX4 )
| ~ ~ ( p2 @ SX4 ) )
| ~ ( ~ ~ ( p3 @ SX4 )
| ~ ( p2 @ SX4 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ( ~ ( p2 @ SX3 )
| ~ ~ ( p1 @ SX3 ) )
| ~ ( ~ ~ ( p2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p15 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ~ ( p13 @ SX3 )
| ~ ~ ( p14 @ SX3 ) )
| ~ ( ~ ( p14 @ SX3 )
| ~ ( p13 @ SX3 ) )
| ~ ( ~ ~ ( p12 @ SX3 )
| ~ ~ ( p13 @ SX3 ) )
| ~ ( ~ ( p13 @ SX3 )
| ~ ( p12 @ SX3 ) )
| ~ ( ~ ~ ( p11 @ SX3 )
| ~ ~ ( p12 @ SX3 ) )
| ~ ( ~ ( p12 @ SX3 )
| ~ ( p11 @ SX3 ) )
| ~ ( ~ ~ ( p10 @ SX3 )
| ~ ~ ( p11 @ SX3 ) )
| ~ ( ~ ( p11 @ SX3 )
| ~ ( p10 @ SX3 ) )
| ~ ( ~ ~ ( p9 @ SX3 )
| ~ ~ ( p10 @ SX3 ) )
| ~ ( ~ ( p10 @ SX3 )
| ~ ( p9 @ SX3 ) )
| ~ ( ~ ~ ( p8 @ SX3 )
| ~ ~ ( p9 @ SX3 ) )
| ~ ( ~ ( p9 @ SX3 )
| ~ ( p8 @ SX3 ) )
| ~ ( ~ ~ ( p7 @ SX3 )
| ~ ~ ( p8 @ SX3 ) )
| ~ ( ~ ( p8 @ SX3 )
| ~ ( p7 @ SX3 ) )
| ~ ( ~ ~ ( p6 @ SX3 )
| ~ ~ ( p7 @ SX3 ) )
| ~ ( ~ ( p7 @ SX3 )
| ~ ( p6 @ SX3 ) )
| ~ ( ~ ~ ( p5 @ SX3 )
| ~ ~ ( p6 @ SX3 ) )
| ~ ( ~ ( p6 @ SX3 )
| ~ ( p5 @ SX3 ) )
| ~ ( ~ ~ ( p4 @ SX3 )
| ~ ~ ( p5 @ SX3 ) )
| ~ ( ~ ( p5 @ SX3 )
| ~ ( p4 @ SX3 ) )
| ~ ( ~ ~ ( p3 @ SX3 )
| ~ ~ ( p4 @ SX3 ) )
| ~ ( ~ ( p4 @ SX3 )
| ~ ( p3 @ SX3 ) )
| ~ ( ~ ~ ( p2 @ SX3 )
| ~ ~ ( p3 @ SX3 ) )
| ~ ( ~ ( p3 @ SX3 )
| ~ ( p2 @ SX3 ) )
| ~ ( ~ ~ ( p1 @ SX3 )
| ~ ~ ( p2 @ SX3 ) )
| ~ ( ~ ( p2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[15]) ).
thf(18,plain,
! [SV3: $i,SV2: $i] :
( ( ! [SY71: $i] :
( ~ ~ ( ~ ( r1 @ SV2 @ SV3 )
| ~ ( r1 @ SV3 @ SY71 ) )
| ( r1 @ SV2 @ SY71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ( ! [SY39: $i] :
( ~ ( r1 @ sK1_SX0 @ SY39 )
| ~ ( p15 @ SY39 )
| ! [SX2: $i] :
( ~ ( r1 @ SY39 @ SX2 )
| ~ ( p1 @ SX2 ) ) )
| ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY41 @ SX2 )
| ~ ( ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( ~ ( ~ ( p4 @ SX5 )
| ~ ~ ( p3 @ SX5 ) )
| ~ ( ~ ~ ( p4 @ SX5 )
| ~ ( p3 @ SX5 ) ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( ~ ( p3 @ SX4 )
| ~ ~ ( p2 @ SX4 ) )
| ~ ( ~ ~ ( p3 @ SX4 )
| ~ ( p2 @ SX4 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ( ~ ( p2 @ SX3 )
| ~ ~ ( p1 @ SX3 ) )
| ~ ( ~ ~ ( p2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p15 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ~ ( p13 @ SX3 )
| ~ ~ ( p14 @ SX3 ) )
| ~ ( ~ ( p14 @ SX3 )
| ~ ( p13 @ SX3 ) )
| ~ ( ~ ~ ( p12 @ SX3 )
| ~ ~ ( p13 @ SX3 ) )
| ~ ( ~ ( p13 @ SX3 )
| ~ ( p12 @ SX3 ) )
| ~ ( ~ ~ ( p11 @ SX3 )
| ~ ~ ( p12 @ SX3 ) )
| ~ ( ~ ( p12 @ SX3 )
| ~ ( p11 @ SX3 ) )
| ~ ( ~ ~ ( p10 @ SX3 )
| ~ ~ ( p11 @ SX3 ) )
| ~ ( ~ ( p11 @ SX3 )
| ~ ( p10 @ SX3 ) )
| ~ ( ~ ~ ( p9 @ SX3 )
| ~ ~ ( p10 @ SX3 ) )
| ~ ( ~ ( p10 @ SX3 )
| ~ ( p9 @ SX3 ) )
| ~ ( ~ ~ ( p8 @ SX3 )
| ~ ~ ( p9 @ SX3 ) )
| ~ ( ~ ( p9 @ SX3 )
| ~ ( p8 @ SX3 ) )
| ~ ( ~ ~ ( p7 @ SX3 )
| ~ ~ ( p8 @ SX3 ) )
| ~ ( ~ ( p8 @ SX3 )
| ~ ( p7 @ SX3 ) )
| ~ ( ~ ~ ( p6 @ SX3 )
| ~ ~ ( p7 @ SX3 ) )
| ~ ( ~ ( p7 @ SX3 )
| ~ ( p6 @ SX3 ) )
| ~ ( ~ ~ ( p5 @ SX3 )
| ~ ~ ( p6 @ SX3 ) )
| ~ ( ~ ( p6 @ SX3 )
| ~ ( p5 @ SX3 ) )
| ~ ( ~ ~ ( p4 @ SX3 )
| ~ ~ ( p5 @ SX3 ) )
| ~ ( ~ ( p5 @ SX3 )
| ~ ( p4 @ SX3 ) )
| ~ ( ~ ~ ( p3 @ SX3 )
| ~ ~ ( p4 @ SX3 ) )
| ~ ( ~ ( p4 @ SX3 )
| ~ ( p3 @ SX3 ) )
| ~ ( ~ ~ ( p2 @ SX3 )
| ~ ~ ( p3 @ SX3 ) )
| ~ ( ~ ( p3 @ SX3 )
| ~ ( p2 @ SX3 ) )
| ~ ( ~ ~ ( p1 @ SX3 )
| ~ ~ ( p2 @ SX3 ) )
| ~ ( ~ ( p2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(20,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ~ ~ ( ~ ( r1 @ SV2 @ SV3 )
| ~ ( r1 @ SV3 @ SV4 ) )
| ( r1 @ SV2 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(21,plain,
( ( ! [SY39: $i] :
( ~ ( r1 @ sK1_SX0 @ SY39 )
| ~ ( p15 @ SY39 )
| ! [SX2: $i] :
( ~ ( r1 @ SY39 @ SX2 )
| ~ ( p1 @ SX2 ) ) )
| ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY41 @ SX2 )
| ~ ( ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( ~ ( ~ ( p4 @ SX5 )
| ~ ~ ( p3 @ SX5 ) )
| ~ ( ~ ~ ( p4 @ SX5 )
| ~ ( p3 @ SX5 ) ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( ~ ( p3 @ SX4 )
| ~ ~ ( p2 @ SX4 ) )
| ~ ( ~ ~ ( p3 @ SX4 )
| ~ ( p2 @ SX4 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ( ~ ( p2 @ SX3 )
| ~ ~ ( p1 @ SX3 ) )
| ~ ( ~ ~ ( p2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p15 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ~ ( p13 @ SX3 )
| ~ ~ ( p14 @ SX3 ) )
| ~ ( ~ ( p14 @ SX3 )
| ~ ( p13 @ SX3 ) )
| ~ ( ~ ~ ( p12 @ SX3 )
| ~ ~ ( p13 @ SX3 ) )
| ~ ( ~ ( p13 @ SX3 )
| ~ ( p12 @ SX3 ) )
| ~ ( ~ ~ ( p11 @ SX3 )
| ~ ~ ( p12 @ SX3 ) )
| ~ ( ~ ( p12 @ SX3 )
| ~ ( p11 @ SX3 ) )
| ~ ( ~ ~ ( p10 @ SX3 )
| ~ ~ ( p11 @ SX3 ) )
| ~ ( ~ ( p11 @ SX3 )
| ~ ( p10 @ SX3 ) )
| ~ ( ~ ~ ( p9 @ SX3 )
| ~ ~ ( p10 @ SX3 ) )
| ~ ( ~ ( p10 @ SX3 )
| ~ ( p9 @ SX3 ) )
| ~ ( ~ ~ ( p8 @ SX3 )
| ~ ~ ( p9 @ SX3 ) )
| ~ ( ~ ( p9 @ SX3 )
| ~ ( p8 @ SX3 ) )
| ~ ( ~ ~ ( p7 @ SX3 )
| ~ ~ ( p8 @ SX3 ) )
| ~ ( ~ ( p8 @ SX3 )
| ~ ( p7 @ SX3 ) )
| ~ ( ~ ~ ( p6 @ SX3 )
| ~ ~ ( p7 @ SX3 ) )
| ~ ( ~ ( p7 @ SX3 )
| ~ ( p6 @ SX3 ) )
| ~ ( ~ ~ ( p5 @ SX3 )
| ~ ~ ( p6 @ SX3 ) )
| ~ ( ~ ( p6 @ SX3 )
| ~ ( p5 @ SX3 ) )
| ~ ( ~ ~ ( p4 @ SX3 )
| ~ ~ ( p5 @ SX3 ) )
| ~ ( ~ ( p5 @ SX3 )
| ~ ( p4 @ SX3 ) )
| ~ ( ~ ~ ( p3 @ SX3 )
| ~ ~ ( p4 @ SX3 ) )
| ~ ( ~ ( p4 @ SX3 )
| ~ ( p3 @ SX3 ) )
| ~ ( ~ ~ ( p2 @ SX3 )
| ~ ~ ( p3 @ SX3 ) )
| ~ ( ~ ( p3 @ SX3 )
| ~ ( p2 @ SX3 ) )
| ~ ( ~ ~ ( p1 @ SX3 )
| ~ ~ ( p2 @ SX3 ) )
| ~ ( ~ ( p2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(22,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( r1 @ SV2 @ SV3 )
| ~ ( r1 @ SV3 @ SV4 ) ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(23,plain,
( ( ! [SY39: $i] :
( ~ ( r1 @ sK1_SX0 @ SY39 )
| ~ ( p15 @ SY39 )
| ! [SX2: $i] :
( ~ ( r1 @ SY39 @ SX2 )
| ~ ( p1 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(24,plain,
( ( ! [SY41: $i] :
( ~ ( r1 @ sK1_SX0 @ SY41 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY41 @ SX2 )
| ~ ( ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( ~ ( ~ ( p4 @ SX5 )
| ~ ~ ( p3 @ SX5 ) )
| ~ ( ~ ~ ( p4 @ SX5 )
| ~ ( p3 @ SX5 ) ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( ~ ( p3 @ SX4 )
| ~ ~ ( p2 @ SX4 ) )
| ~ ( ~ ~ ( p3 @ SX4 )
| ~ ( p2 @ SX4 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ( ~ ( p2 @ SX3 )
| ~ ~ ( p1 @ SX3 ) )
| ~ ( ~ ~ ( p2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p15 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ~ ( p13 @ SX3 )
| ~ ~ ( p14 @ SX3 ) )
| ~ ( ~ ( p14 @ SX3 )
| ~ ( p13 @ SX3 ) )
| ~ ( ~ ~ ( p12 @ SX3 )
| ~ ~ ( p13 @ SX3 ) )
| ~ ( ~ ( p13 @ SX3 )
| ~ ( p12 @ SX3 ) )
| ~ ( ~ ~ ( p11 @ SX3 )
| ~ ~ ( p12 @ SX3 ) )
| ~ ( ~ ( p12 @ SX3 )
| ~ ( p11 @ SX3 ) )
| ~ ( ~ ~ ( p10 @ SX3 )
| ~ ~ ( p11 @ SX3 ) )
| ~ ( ~ ( p11 @ SX3 )
| ~ ( p10 @ SX3 ) )
| ~ ( ~ ~ ( p9 @ SX3 )
| ~ ~ ( p10 @ SX3 ) )
| ~ ( ~ ( p10 @ SX3 )
| ~ ( p9 @ SX3 ) )
| ~ ( ~ ~ ( p8 @ SX3 )
| ~ ~ ( p9 @ SX3 ) )
| ~ ( ~ ( p9 @ SX3 )
| ~ ( p8 @ SX3 ) )
| ~ ( ~ ~ ( p7 @ SX3 )
| ~ ~ ( p8 @ SX3 ) )
| ~ ( ~ ( p8 @ SX3 )
| ~ ( p7 @ SX3 ) )
| ~ ( ~ ~ ( p6 @ SX3 )
| ~ ~ ( p7 @ SX3 ) )
| ~ ( ~ ( p7 @ SX3 )
| ~ ( p6 @ SX3 ) )
| ~ ( ~ ~ ( p5 @ SX3 )
| ~ ~ ( p6 @ SX3 ) )
| ~ ( ~ ( p6 @ SX3 )
| ~ ( p5 @ SX3 ) )
| ~ ( ~ ~ ( p4 @ SX3 )
| ~ ~ ( p5 @ SX3 ) )
| ~ ( ~ ( p5 @ SX3 )
| ~ ( p4 @ SX3 ) )
| ~ ( ~ ~ ( p3 @ SX3 )
| ~ ~ ( p4 @ SX3 ) )
| ~ ( ~ ( p4 @ SX3 )
| ~ ( p3 @ SX3 ) )
| ~ ( ~ ~ ( p2 @ SX3 )
| ~ ~ ( p3 @ SX3 ) )
| ~ ( ~ ( p3 @ SX3 )
| ~ ( p2 @ SX3 ) )
| ~ ( ~ ~ ( p1 @ SX3 )
| ~ ~ ( p2 @ SX3 ) )
| ~ ( ~ ( p2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(25,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( ~ ( r1 @ SV2 @ SV3 )
| ~ ( r1 @ SV3 @ SV4 ) ) )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK2_SY39 )
| ~ ( p15 @ sK2_SY39 )
| ! [SY72: $i] :
( ~ ( r1 @ sK2_SY39 @ SY72 )
| ~ ( p1 @ SY72 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[23]) ).
thf(27,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK3_SY41 )
| ~ ! [SY73: $i] :
( ~ ( r1 @ sK3_SY41 @ SY73 )
| ~ ( ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( ~ ( ~ ( p4 @ SX5 )
| ~ ~ ( p3 @ SX5 ) )
| ~ ( ~ ~ ( p4 @ SX5 )
| ~ ( p3 @ SX5 ) ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( ~ ( p3 @ SX4 )
| ~ ~ ( p2 @ SX4 ) )
| ~ ( ~ ~ ( p3 @ SX4 )
| ~ ( p2 @ SX4 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ~ ( ~ ( ~ ( p2 @ SX3 )
| ~ ~ ( p1 @ SX3 ) )
| ~ ( ~ ~ ( p2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ( p15 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ~ ( ~ ~ ( p13 @ SX3 )
| ~ ~ ( p14 @ SX3 ) )
| ~ ( ~ ( p14 @ SX3 )
| ~ ( p13 @ SX3 ) )
| ~ ( ~ ~ ( p12 @ SX3 )
| ~ ~ ( p13 @ SX3 ) )
| ~ ( ~ ( p13 @ SX3 )
| ~ ( p12 @ SX3 ) )
| ~ ( ~ ~ ( p11 @ SX3 )
| ~ ~ ( p12 @ SX3 ) )
| ~ ( ~ ( p12 @ SX3 )
| ~ ( p11 @ SX3 ) )
| ~ ( ~ ~ ( p10 @ SX3 )
| ~ ~ ( p11 @ SX3 ) )
| ~ ( ~ ( p11 @ SX3 )
| ~ ( p10 @ SX3 ) )
| ~ ( ~ ~ ( p9 @ SX3 )
| ~ ~ ( p10 @ SX3 ) )
| ~ ( ~ ( p10 @ SX3 )
| ~ ( p9 @ SX3 ) )
| ~ ( ~ ~ ( p8 @ SX3 )
| ~ ~ ( p9 @ SX3 ) )
| ~ ( ~ ( p9 @ SX3 )
| ~ ( p8 @ SX3 ) )
| ~ ( ~ ~ ( p7 @ SX3 )
| ~ ~ ( p8 @ SX3 ) )
| ~ ( ~ ( p8 @ SX3 )
| ~ ( p7 @ SX3 ) )
| ~ ( ~ ~ ( p6 @ SX3 )
| ~ ~ ( p7 @ SX3 ) )
| ~ ( ~ ( p7 @ SX3 )
| ~ ( p6 @ SX3 ) )
| ~ ( ~ ~ ( p5 @ SX3 )
| ~ ~ ( p6 @ SX3 ) )
| ~ ( ~ ( p6 @ SX3 )
| ~ ( p5 @ SX3 ) )
| ~ ( ~ ~ ( p4 @ SX3 )
| ~ ~ ( p5 @ SX3 ) )
| ~ ( ~ ( p5 @ SX3 )
| ~ ( p4 @ SX3 ) )
| ~ ( ~ ~ ( p3 @ SX3 )
| ~ ~ ( p4 @ SX3 ) )
| ~ ( ~ ( p4 @ SX3 )
| ~ ( p3 @ SX3 ) )
| ~ ( ~ ~ ( p2 @ SX3 )
| ~ ~ ( p3 @ SX3 ) )
| ~ ( ~ ( p3 @ SX3 )
| ~ ( p2 @ SX3 ) )
| ~ ( ~ ~ ( p1 @ SX3 )
| ~ ~ ( p2 @ SX3 ) )
| ~ ( ~ ( p2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[24]) ).
thf(28,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV3 )
| ~ ( r1 @ SV3 @ SV4 ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK2_SY39 )
| ~ ( p15 @ sK2_SY39 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
( ( ! [SY72: $i] :
( ~ ( r1 @ sK2_SY39 @ SY72 )
| ~ ( p1 @ SY72 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(31,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK3_SY41 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(32,plain,
( ( ~ ! [SY73: $i] :
( ~ ( r1 @ sK3_SY41 @ SY73 )
| ~ ( ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( ~ ( ~ ( p4 @ SX5 )
| ~ ~ ( p3 @ SX5 ) )
| ~ ( ~ ~ ( p4 @ SX5 )
| ~ ( p3 @ SX5 ) ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( ~ ( p3 @ SX4 )
| ~ ~ ( p2 @ SX4 ) )
| ~ ( ~ ~ ( p3 @ SX4 )
| ~ ( p2 @ SX4 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ~ ( ~ ( ~ ( p2 @ SX3 )
| ~ ~ ( p1 @ SX3 ) )
| ~ ( ~ ~ ( p2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ( p15 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ~ ( ~ ~ ( p13 @ SX3 )
| ~ ~ ( p14 @ SX3 ) )
| ~ ( ~ ( p14 @ SX3 )
| ~ ( p13 @ SX3 ) )
| ~ ( ~ ~ ( p12 @ SX3 )
| ~ ~ ( p13 @ SX3 ) )
| ~ ( ~ ( p13 @ SX3 )
| ~ ( p12 @ SX3 ) )
| ~ ( ~ ~ ( p11 @ SX3 )
| ~ ~ ( p12 @ SX3 ) )
| ~ ( ~ ( p12 @ SX3 )
| ~ ( p11 @ SX3 ) )
| ~ ( ~ ~ ( p10 @ SX3 )
| ~ ~ ( p11 @ SX3 ) )
| ~ ( ~ ( p11 @ SX3 )
| ~ ( p10 @ SX3 ) )
| ~ ( ~ ~ ( p9 @ SX3 )
| ~ ~ ( p10 @ SX3 ) )
| ~ ( ~ ( p10 @ SX3 )
| ~ ( p9 @ SX3 ) )
| ~ ( ~ ~ ( p8 @ SX3 )
| ~ ~ ( p9 @ SX3 ) )
| ~ ( ~ ( p9 @ SX3 )
| ~ ( p8 @ SX3 ) )
| ~ ( ~ ~ ( p7 @ SX3 )
| ~ ~ ( p8 @ SX3 ) )
| ~ ( ~ ( p8 @ SX3 )
| ~ ( p7 @ SX3 ) )
| ~ ( ~ ~ ( p6 @ SX3 )
| ~ ~ ( p7 @ SX3 ) )
| ~ ( ~ ( p7 @ SX3 )
| ~ ( p6 @ SX3 ) )
| ~ ( ~ ~ ( p5 @ SX3 )
| ~ ~ ( p6 @ SX3 ) )
| ~ ( ~ ( p6 @ SX3 )
| ~ ( p5 @ SX3 ) )
| ~ ( ~ ~ ( p4 @ SX3 )
| ~ ~ ( p5 @ SX3 ) )
| ~ ( ~ ( p5 @ SX3 )
| ~ ( p4 @ SX3 ) )
| ~ ( ~ ~ ( p3 @ SX3 )
| ~ ~ ( p4 @ SX3 ) )
| ~ ( ~ ( p4 @ SX3 )
| ~ ( p3 @ SX3 ) )
| ~ ( ~ ~ ( p2 @ SX3 )
| ~ ~ ( p3 @ SX3 ) )
| ~ ( ~ ( p3 @ SX3 )
| ~ ( p2 @ SX3 ) )
| ~ ( ~ ~ ( p1 @ SX3 )
| ~ ~ ( p2 @ SX3 ) )
| ~ ( ~ ( p2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(33,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( r1 @ SV3 @ SV4 ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK2_SY39 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(35,plain,
( ( ~ ( p15 @ sK2_SY39 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(36,plain,
( ( ~ ( r1 @ sK2_SY39 @ sK4_SY72 )
| ~ ( p1 @ sK4_SY72 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[30]) ).
thf(37,plain,
( ( r1 @ sK1_SX0 @ sK3_SY41 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(38,plain,
( ( ! [SY73: $i] :
( ~ ( r1 @ sK3_SY41 @ SY73 )
| ~ ( ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( ~ ( ~ ( p4 @ SX5 )
| ~ ~ ( p3 @ SX5 ) )
| ~ ( ~ ~ ( p4 @ SX5 )
| ~ ( p3 @ SX5 ) ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ( ~ ( p3 @ SX4 )
| ~ ~ ( p2 @ SX4 ) )
| ~ ( ~ ~ ( p3 @ SX4 )
| ~ ( p2 @ SX4 ) ) ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ~ ( ~ ( ~ ( p2 @ SX3 )
| ~ ~ ( p1 @ SX3 ) )
| ~ ( ~ ~ ( p2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ( p15 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ~ ( ~ ~ ( p13 @ SX3 )
| ~ ~ ( p14 @ SX3 ) )
| ~ ( ~ ( p14 @ SX3 )
| ~ ( p13 @ SX3 ) )
| ~ ( ~ ~ ( p12 @ SX3 )
| ~ ~ ( p13 @ SX3 ) )
| ~ ( ~ ( p13 @ SX3 )
| ~ ( p12 @ SX3 ) )
| ~ ( ~ ~ ( p11 @ SX3 )
| ~ ~ ( p12 @ SX3 ) )
| ~ ( ~ ( p12 @ SX3 )
| ~ ( p11 @ SX3 ) )
| ~ ( ~ ~ ( p10 @ SX3 )
| ~ ~ ( p11 @ SX3 ) )
| ~ ( ~ ( p11 @ SX3 )
| ~ ( p10 @ SX3 ) )
| ~ ( ~ ~ ( p9 @ SX3 )
| ~ ~ ( p10 @ SX3 ) )
| ~ ( ~ ( p10 @ SX3 )
| ~ ( p9 @ SX3 ) )
| ~ ( ~ ~ ( p8 @ SX3 )
| ~ ~ ( p9 @ SX3 ) )
| ~ ( ~ ( p9 @ SX3 )
| ~ ( p8 @ SX3 ) )
| ~ ( ~ ~ ( p7 @ SX3 )
| ~ ~ ( p8 @ SX3 ) )
| ~ ( ~ ( p8 @ SX3 )
| ~ ( p7 @ SX3 ) )
| ~ ( ~ ~ ( p6 @ SX3 )
| ~ ~ ( p7 @ SX3 ) )
| ~ ( ~ ( p7 @ SX3 )
| ~ ( p6 @ SX3 ) )
| ~ ( ~ ~ ( p5 @ SX3 )
| ~ ~ ( p6 @ SX3 ) )
| ~ ( ~ ( p6 @ SX3 )
| ~ ( p5 @ SX3 ) )
| ~ ( ~ ~ ( p4 @ SX3 )
| ~ ~ ( p5 @ SX3 ) )
| ~ ( ~ ( p5 @ SX3 )
| ~ ( p4 @ SX3 ) )
| ~ ( ~ ~ ( p3 @ SX3 )
| ~ ~ ( p4 @ SX3 ) )
| ~ ( ~ ( p4 @ SX3 )
| ~ ( p3 @ SX3 ) )
| ~ ( ~ ~ ( p2 @ SX3 )
| ~ ~ ( p3 @ SX3 ) )
| ~ ( ~ ( p3 @ SX3 )
| ~ ( p2 @ SX3 ) )
| ~ ( ~ ~ ( p1 @ SX3 )
| ~ ~ ( p2 @ SX3 ) )
| ~ ( ~ ( p2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(39,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( ~ ( r1 @ SV3 @ SV4 ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(40,plain,
( ( r1 @ sK1_SX0 @ sK2_SY39 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(41,plain,
( ( p15 @ sK2_SY39 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(42,plain,
( ( ~ ( r1 @ sK2_SY39 @ sK4_SY72 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(43,plain,
( ( ~ ( p1 @ sK4_SY72 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(44,plain,
! [SV5: $i] :
( ( ~ ( r1 @ sK3_SY41 @ SV5 )
| ~ ( ! [SY102: $i] :
( ~ ( r1 @ SV5 @ SY102 )
| ! [SX4: $i] :
( ~ ( r1 @ SY102 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( ~ ( ~ ( p4 @ SX5 )
| ~ ~ ( p3 @ SX5 ) )
| ~ ( ~ ~ ( p4 @ SX5 )
| ~ ( p3 @ SX5 ) ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY102 @ SX4 )
| ~ ( ~ ( ~ ( p3 @ SX4 )
| ~ ~ ( p2 @ SX4 ) )
| ~ ( ~ ~ ( p3 @ SX4 )
| ~ ( p2 @ SX4 ) ) ) ) )
| ~ ! [SY127: $i] :
( ~ ( r1 @ SV5 @ SY127 )
| ~ ( ~ ( ~ ( p2 @ SY127 )
| ~ ~ ( p1 @ SY127 ) )
| ~ ( ~ ~ ( p2 @ SY127 )
| ~ ( p1 @ SY127 ) ) ) )
| ! [SY128: $i] :
( ~ ( r1 @ SV5 @ SY128 )
| ( p15 @ SY128 ) )
| ! [SY129: $i] :
( ~ ( r1 @ SV5 @ SY129 )
| ~ ( ~ ~ ( p13 @ SY129 )
| ~ ~ ( p14 @ SY129 ) )
| ~ ( ~ ( p14 @ SY129 )
| ~ ( p13 @ SY129 ) )
| ~ ( ~ ~ ( p12 @ SY129 )
| ~ ~ ( p13 @ SY129 ) )
| ~ ( ~ ( p13 @ SY129 )
| ~ ( p12 @ SY129 ) )
| ~ ( ~ ~ ( p11 @ SY129 )
| ~ ~ ( p12 @ SY129 ) )
| ~ ( ~ ( p12 @ SY129 )
| ~ ( p11 @ SY129 ) )
| ~ ( ~ ~ ( p10 @ SY129 )
| ~ ~ ( p11 @ SY129 ) )
| ~ ( ~ ( p11 @ SY129 )
| ~ ( p10 @ SY129 ) )
| ~ ( ~ ~ ( p9 @ SY129 )
| ~ ~ ( p10 @ SY129 ) )
| ~ ( ~ ( p10 @ SY129 )
| ~ ( p9 @ SY129 ) )
| ~ ( ~ ~ ( p8 @ SY129 )
| ~ ~ ( p9 @ SY129 ) )
| ~ ( ~ ( p9 @ SY129 )
| ~ ( p8 @ SY129 ) )
| ~ ( ~ ~ ( p7 @ SY129 )
| ~ ~ ( p8 @ SY129 ) )
| ~ ( ~ ( p8 @ SY129 )
| ~ ( p7 @ SY129 ) )
| ~ ( ~ ~ ( p6 @ SY129 )
| ~ ~ ( p7 @ SY129 ) )
| ~ ( ~ ( p7 @ SY129 )
| ~ ( p6 @ SY129 ) )
| ~ ( ~ ~ ( p5 @ SY129 )
| ~ ~ ( p6 @ SY129 ) )
| ~ ( ~ ( p6 @ SY129 )
| ~ ( p5 @ SY129 ) )
| ~ ( ~ ~ ( p4 @ SY129 )
| ~ ~ ( p5 @ SY129 ) )
| ~ ( ~ ( p5 @ SY129 )
| ~ ( p4 @ SY129 ) )
| ~ ( ~ ~ ( p3 @ SY129 )
| ~ ~ ( p4 @ SY129 ) )
| ~ ( ~ ( p4 @ SY129 )
| ~ ( p3 @ SY129 ) )
| ~ ( ~ ~ ( p2 @ SY129 )
| ~ ~ ( p3 @ SY129 ) )
| ~ ( ~ ( p3 @ SY129 )
| ~ ( p2 @ SY129 ) )
| ~ ( ~ ~ ( p1 @ SY129 )
| ~ ~ ( p2 @ SY129 ) )
| ~ ( ~ ( p2 @ SY129 )
| ~ ( p1 @ SY129 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(45,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ( r1 @ SV3 @ SV4 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(46,plain,
( ( r1 @ sK2_SY39 @ sK4_SY72 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(47,plain,
( ( p1 @ sK4_SY72 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(48,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ sK3_SY41 @ SV5 ) )
= $true )
| ( ( ~ ( ! [SY102: $i] :
( ~ ( r1 @ SV5 @ SY102 )
| ! [SX4: $i] :
( ~ ( r1 @ SY102 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( ~ ( ~ ( p4 @ SX5 )
| ~ ~ ( p3 @ SX5 ) )
| ~ ( ~ ~ ( p4 @ SX5 )
| ~ ( p3 @ SX5 ) ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY102 @ SX4 )
| ~ ( ~ ( ~ ( p3 @ SX4 )
| ~ ~ ( p2 @ SX4 ) )
| ~ ( ~ ~ ( p3 @ SX4 )
| ~ ( p2 @ SX4 ) ) ) ) )
| ~ ! [SY127: $i] :
( ~ ( r1 @ SV5 @ SY127 )
| ~ ( ~ ( ~ ( p2 @ SY127 )
| ~ ~ ( p1 @ SY127 ) )
| ~ ( ~ ~ ( p2 @ SY127 )
| ~ ( p1 @ SY127 ) ) ) )
| ! [SY128: $i] :
( ~ ( r1 @ SV5 @ SY128 )
| ( p15 @ SY128 ) )
| ! [SY129: $i] :
( ~ ( r1 @ SV5 @ SY129 )
| ~ ( ~ ~ ( p13 @ SY129 )
| ~ ~ ( p14 @ SY129 ) )
| ~ ( ~ ( p14 @ SY129 )
| ~ ( p13 @ SY129 ) )
| ~ ( ~ ~ ( p12 @ SY129 )
| ~ ~ ( p13 @ SY129 ) )
| ~ ( ~ ( p13 @ SY129 )
| ~ ( p12 @ SY129 ) )
| ~ ( ~ ~ ( p11 @ SY129 )
| ~ ~ ( p12 @ SY129 ) )
| ~ ( ~ ( p12 @ SY129 )
| ~ ( p11 @ SY129 ) )
| ~ ( ~ ~ ( p10 @ SY129 )
| ~ ~ ( p11 @ SY129 ) )
| ~ ( ~ ( p11 @ SY129 )
| ~ ( p10 @ SY129 ) )
| ~ ( ~ ~ ( p9 @ SY129 )
| ~ ~ ( p10 @ SY129 ) )
| ~ ( ~ ( p10 @ SY129 )
| ~ ( p9 @ SY129 ) )
| ~ ( ~ ~ ( p8 @ SY129 )
| ~ ~ ( p9 @ SY129 ) )
| ~ ( ~ ( p9 @ SY129 )
| ~ ( p8 @ SY129 ) )
| ~ ( ~ ~ ( p7 @ SY129 )
| ~ ~ ( p8 @ SY129 ) )
| ~ ( ~ ( p8 @ SY129 )
| ~ ( p7 @ SY129 ) )
| ~ ( ~ ~ ( p6 @ SY129 )
| ~ ~ ( p7 @ SY129 ) )
| ~ ( ~ ( p7 @ SY129 )
| ~ ( p6 @ SY129 ) )
| ~ ( ~ ~ ( p5 @ SY129 )
| ~ ~ ( p6 @ SY129 ) )
| ~ ( ~ ( p6 @ SY129 )
| ~ ( p5 @ SY129 ) )
| ~ ( ~ ~ ( p4 @ SY129 )
| ~ ~ ( p5 @ SY129 ) )
| ~ ( ~ ( p5 @ SY129 )
| ~ ( p4 @ SY129 ) )
| ~ ( ~ ~ ( p3 @ SY129 )
| ~ ~ ( p4 @ SY129 ) )
| ~ ( ~ ( p4 @ SY129 )
| ~ ( p3 @ SY129 ) )
| ~ ( ~ ~ ( p2 @ SY129 )
| ~ ~ ( p3 @ SY129 ) )
| ~ ( ~ ( p3 @ SY129 )
| ~ ( p2 @ SY129 ) )
| ~ ( ~ ~ ( p1 @ SY129 )
| ~ ~ ( p2 @ SY129 ) )
| ~ ( ~ ( p2 @ SY129 )
| ~ ( p1 @ SY129 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV5: $i] :
( ( ( r1 @ sK3_SY41 @ SV5 )
= $false )
| ( ( ~ ( ! [SY102: $i] :
( ~ ( r1 @ SV5 @ SY102 )
| ! [SX4: $i] :
( ~ ( r1 @ SY102 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( ~ ( ~ ( p4 @ SX5 )
| ~ ~ ( p3 @ SX5 ) )
| ~ ( ~ ~ ( p4 @ SX5 )
| ~ ( p3 @ SX5 ) ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY102 @ SX4 )
| ~ ( ~ ( ~ ( p3 @ SX4 )
| ~ ~ ( p2 @ SX4 ) )
| ~ ( ~ ~ ( p3 @ SX4 )
| ~ ( p2 @ SX4 ) ) ) ) )
| ~ ! [SY127: $i] :
( ~ ( r1 @ SV5 @ SY127 )
| ~ ( ~ ( ~ ( p2 @ SY127 )
| ~ ~ ( p1 @ SY127 ) )
| ~ ( ~ ~ ( p2 @ SY127 )
| ~ ( p1 @ SY127 ) ) ) )
| ! [SY128: $i] :
( ~ ( r1 @ SV5 @ SY128 )
| ( p15 @ SY128 ) )
| ! [SY129: $i] :
( ~ ( r1 @ SV5 @ SY129 )
| ~ ( ~ ~ ( p13 @ SY129 )
| ~ ~ ( p14 @ SY129 ) )
| ~ ( ~ ( p14 @ SY129 )
| ~ ( p13 @ SY129 ) )
| ~ ( ~ ~ ( p12 @ SY129 )
| ~ ~ ( p13 @ SY129 ) )
| ~ ( ~ ( p13 @ SY129 )
| ~ ( p12 @ SY129 ) )
| ~ ( ~ ~ ( p11 @ SY129 )
| ~ ~ ( p12 @ SY129 ) )
| ~ ( ~ ( p12 @ SY129 )
| ~ ( p11 @ SY129 ) )
| ~ ( ~ ~ ( p10 @ SY129 )
| ~ ~ ( p11 @ SY129 ) )
| ~ ( ~ ( p11 @ SY129 )
| ~ ( p10 @ SY129 ) )
| ~ ( ~ ~ ( p9 @ SY129 )
| ~ ~ ( p10 @ SY129 ) )
| ~ ( ~ ( p10 @ SY129 )
| ~ ( p9 @ SY129 ) )
| ~ ( ~ ~ ( p8 @ SY129 )
| ~ ~ ( p9 @ SY129 ) )
| ~ ( ~ ( p9 @ SY129 )
| ~ ( p8 @ SY129 ) )
| ~ ( ~ ~ ( p7 @ SY129 )
| ~ ~ ( p8 @ SY129 ) )
| ~ ( ~ ( p8 @ SY129 )
| ~ ( p7 @ SY129 ) )
| ~ ( ~ ~ ( p6 @ SY129 )
| ~ ~ ( p7 @ SY129 ) )
| ~ ( ~ ( p7 @ SY129 )
| ~ ( p6 @ SY129 ) )
| ~ ( ~ ~ ( p5 @ SY129 )
| ~ ~ ( p6 @ SY129 ) )
| ~ ( ~ ( p6 @ SY129 )
| ~ ( p5 @ SY129 ) )
| ~ ( ~ ~ ( p4 @ SY129 )
| ~ ~ ( p5 @ SY129 ) )
| ~ ( ~ ( p5 @ SY129 )
| ~ ( p4 @ SY129 ) )
| ~ ( ~ ~ ( p3 @ SY129 )
| ~ ~ ( p4 @ SY129 ) )
| ~ ( ~ ( p4 @ SY129 )
| ~ ( p3 @ SY129 ) )
| ~ ( ~ ~ ( p2 @ SY129 )
| ~ ~ ( p3 @ SY129 ) )
| ~ ( ~ ( p3 @ SY129 )
| ~ ( p2 @ SY129 ) )
| ~ ( ~ ~ ( p1 @ SY129 )
| ~ ~ ( p2 @ SY129 ) )
| ~ ( ~ ( p2 @ SY129 )
| ~ ( p1 @ SY129 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(50,plain,
! [SV5: $i] :
( ( ( ! [SY102: $i] :
( ~ ( r1 @ SV5 @ SY102 )
| ! [SX4: $i] :
( ~ ( r1 @ SY102 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( ~ ( ~ ( p4 @ SX5 )
| ~ ~ ( p3 @ SX5 ) )
| ~ ( ~ ~ ( p4 @ SX5 )
| ~ ( p3 @ SX5 ) ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY102 @ SX4 )
| ~ ( ~ ( ~ ( p3 @ SX4 )
| ~ ~ ( p2 @ SX4 ) )
| ~ ( ~ ~ ( p3 @ SX4 )
| ~ ( p2 @ SX4 ) ) ) ) )
| ~ ! [SY127: $i] :
( ~ ( r1 @ SV5 @ SY127 )
| ~ ( ~ ( ~ ( p2 @ SY127 )
| ~ ~ ( p1 @ SY127 ) )
| ~ ( ~ ~ ( p2 @ SY127 )
| ~ ( p1 @ SY127 ) ) ) )
| ! [SY128: $i] :
( ~ ( r1 @ SV5 @ SY128 )
| ( p15 @ SY128 ) )
| ! [SY129: $i] :
( ~ ( r1 @ SV5 @ SY129 )
| ~ ( ~ ~ ( p13 @ SY129 )
| ~ ~ ( p14 @ SY129 ) )
| ~ ( ~ ( p14 @ SY129 )
| ~ ( p13 @ SY129 ) )
| ~ ( ~ ~ ( p12 @ SY129 )
| ~ ~ ( p13 @ SY129 ) )
| ~ ( ~ ( p13 @ SY129 )
| ~ ( p12 @ SY129 ) )
| ~ ( ~ ~ ( p11 @ SY129 )
| ~ ~ ( p12 @ SY129 ) )
| ~ ( ~ ( p12 @ SY129 )
| ~ ( p11 @ SY129 ) )
| ~ ( ~ ~ ( p10 @ SY129 )
| ~ ~ ( p11 @ SY129 ) )
| ~ ( ~ ( p11 @ SY129 )
| ~ ( p10 @ SY129 ) )
| ~ ( ~ ~ ( p9 @ SY129 )
| ~ ~ ( p10 @ SY129 ) )
| ~ ( ~ ( p10 @ SY129 )
| ~ ( p9 @ SY129 ) )
| ~ ( ~ ~ ( p8 @ SY129 )
| ~ ~ ( p9 @ SY129 ) )
| ~ ( ~ ( p9 @ SY129 )
| ~ ( p8 @ SY129 ) )
| ~ ( ~ ~ ( p7 @ SY129 )
| ~ ~ ( p8 @ SY129 ) )
| ~ ( ~ ( p8 @ SY129 )
| ~ ( p7 @ SY129 ) )
| ~ ( ~ ~ ( p6 @ SY129 )
| ~ ~ ( p7 @ SY129 ) )
| ~ ( ~ ( p7 @ SY129 )
| ~ ( p6 @ SY129 ) )
| ~ ( ~ ~ ( p5 @ SY129 )
| ~ ~ ( p6 @ SY129 ) )
| ~ ( ~ ( p6 @ SY129 )
| ~ ( p5 @ SY129 ) )
| ~ ( ~ ~ ( p4 @ SY129 )
| ~ ~ ( p5 @ SY129 ) )
| ~ ( ~ ( p5 @ SY129 )
| ~ ( p4 @ SY129 ) )
| ~ ( ~ ~ ( p3 @ SY129 )
| ~ ~ ( p4 @ SY129 ) )
| ~ ( ~ ( p4 @ SY129 )
| ~ ( p3 @ SY129 ) )
| ~ ( ~ ~ ( p2 @ SY129 )
| ~ ~ ( p3 @ SY129 ) )
| ~ ( ~ ( p3 @ SY129 )
| ~ ( p2 @ SY129 ) )
| ~ ( ~ ~ ( p1 @ SY129 )
| ~ ~ ( p2 @ SY129 ) )
| ~ ( ~ ( p2 @ SY129 )
| ~ ( p1 @ SY129 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(51,plain,
! [SV5: $i] :
( ( ( ! [SY102: $i] :
( ~ ( r1 @ SV5 @ SY102 )
| ! [SX4: $i] :
( ~ ( r1 @ SY102 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( ~ ( ~ ( p4 @ SX5 )
| ~ ~ ( p3 @ SX5 ) )
| ~ ( ~ ~ ( p4 @ SX5 )
| ~ ( p3 @ SX5 ) ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY102 @ SX4 )
| ~ ( ~ ( ~ ( p3 @ SX4 )
| ~ ~ ( p2 @ SX4 ) )
| ~ ( ~ ~ ( p3 @ SX4 )
| ~ ( p2 @ SX4 ) ) ) ) )
| ~ ! [SY127: $i] :
( ~ ( r1 @ SV5 @ SY127 )
| ~ ( ~ ( ~ ( p2 @ SY127 )
| ~ ~ ( p1 @ SY127 ) )
| ~ ( ~ ~ ( p2 @ SY127 )
| ~ ( p1 @ SY127 ) ) ) )
| ! [SY128: $i] :
( ~ ( r1 @ SV5 @ SY128 )
| ( p15 @ SY128 ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(52,plain,
! [SV5: $i] :
( ( ( ! [SY129: $i] :
( ~ ( r1 @ SV5 @ SY129 )
| ~ ( ~ ~ ( p13 @ SY129 )
| ~ ~ ( p14 @ SY129 ) )
| ~ ( ~ ( p14 @ SY129 )
| ~ ( p13 @ SY129 ) )
| ~ ( ~ ~ ( p12 @ SY129 )
| ~ ~ ( p13 @ SY129 ) )
| ~ ( ~ ( p13 @ SY129 )
| ~ ( p12 @ SY129 ) )
| ~ ( ~ ~ ( p11 @ SY129 )
| ~ ~ ( p12 @ SY129 ) )
| ~ ( ~ ( p12 @ SY129 )
| ~ ( p11 @ SY129 ) )
| ~ ( ~ ~ ( p10 @ SY129 )
| ~ ~ ( p11 @ SY129 ) )
| ~ ( ~ ( p11 @ SY129 )
| ~ ( p10 @ SY129 ) )
| ~ ( ~ ~ ( p9 @ SY129 )
| ~ ~ ( p10 @ SY129 ) )
| ~ ( ~ ( p10 @ SY129 )
| ~ ( p9 @ SY129 ) )
| ~ ( ~ ~ ( p8 @ SY129 )
| ~ ~ ( p9 @ SY129 ) )
| ~ ( ~ ( p9 @ SY129 )
| ~ ( p8 @ SY129 ) )
| ~ ( ~ ~ ( p7 @ SY129 )
| ~ ~ ( p8 @ SY129 ) )
| ~ ( ~ ( p8 @ SY129 )
| ~ ( p7 @ SY129 ) )
| ~ ( ~ ~ ( p6 @ SY129 )
| ~ ~ ( p7 @ SY129 ) )
| ~ ( ~ ( p7 @ SY129 )
| ~ ( p6 @ SY129 ) )
| ~ ( ~ ~ ( p5 @ SY129 )
| ~ ~ ( p6 @ SY129 ) )
| ~ ( ~ ( p6 @ SY129 )
| ~ ( p5 @ SY129 ) )
| ~ ( ~ ~ ( p4 @ SY129 )
| ~ ~ ( p5 @ SY129 ) )
| ~ ( ~ ( p5 @ SY129 )
| ~ ( p4 @ SY129 ) )
| ~ ( ~ ~ ( p3 @ SY129 )
| ~ ~ ( p4 @ SY129 ) )
| ~ ( ~ ( p4 @ SY129 )
| ~ ( p3 @ SY129 ) )
| ~ ( ~ ~ ( p2 @ SY129 )
| ~ ~ ( p3 @ SY129 ) )
| ~ ( ~ ( p3 @ SY129 )
| ~ ( p2 @ SY129 ) )
| ~ ( ~ ~ ( p1 @ SY129 )
| ~ ~ ( p2 @ SY129 ) )
| ~ ( ~ ( p2 @ SY129 )
| ~ ( p1 @ SY129 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(53,plain,
! [SV5: $i] :
( ( ( ! [SY102: $i] :
( ~ ( r1 @ SV5 @ SY102 )
| ! [SX4: $i] :
( ~ ( r1 @ SY102 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( ~ ( ~ ( p4 @ SX5 )
| ~ ~ ( p3 @ SX5 ) )
| ~ ( ~ ~ ( p4 @ SX5 )
| ~ ( p3 @ SX5 ) ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY102 @ SX4 )
| ~ ( ~ ( ~ ( p3 @ SX4 )
| ~ ~ ( p2 @ SX4 ) )
| ~ ( ~ ~ ( p3 @ SX4 )
| ~ ( p2 @ SX4 ) ) ) ) )
| ~ ! [SY127: $i] :
( ~ ( r1 @ SV5 @ SY127 )
| ~ ( ~ ( ~ ( p2 @ SY127 )
| ~ ~ ( p1 @ SY127 ) )
| ~ ( ~ ~ ( p2 @ SY127 )
| ~ ( p1 @ SY127 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(54,plain,
! [SV5: $i] :
( ( ( ! [SY128: $i] :
( ~ ( r1 @ SV5 @ SY128 )
| ( p15 @ SY128 ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(55,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p3 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p4 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p2 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p3 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p2 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p1 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p2 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p2 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p1 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[52]) ).
thf(56,plain,
! [SV5: $i] :
( ( ( ! [SY102: $i] :
( ~ ( r1 @ SV5 @ SY102 )
| ! [SX4: $i] :
( ~ ( r1 @ SY102 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( ~ ( ~ ( p4 @ SX5 )
| ~ ~ ( p3 @ SX5 ) )
| ~ ( ~ ~ ( p4 @ SX5 )
| ~ ( p3 @ SX5 ) ) ) ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY102 @ SX4 )
| ~ ( ~ ( ~ ( p3 @ SX4 )
| ~ ~ ( p2 @ SX4 ) )
| ~ ( ~ ~ ( p3 @ SX4 )
| ~ ( p2 @ SX4 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(57,plain,
! [SV5: $i] :
( ( ( ~ ! [SY127: $i] :
( ~ ( r1 @ SV5 @ SY127 )
| ~ ( ~ ( ~ ( p2 @ SY127 )
| ~ ~ ( p1 @ SY127 ) )
| ~ ( ~ ~ ( p2 @ SY127 )
| ~ ( p1 @ SY127 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(58,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK6_SY128 @ SV5 ) )
| ( p15 @ ( sK6_SY128 @ SV5 ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[54]) ).
thf(59,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p3 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p4 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p2 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p3 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p2 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p1 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p2 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(60,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( p2 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p1 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(61,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK7_SY102 @ SV5 ) )
| ! [SY130: $i] :
( ~ ( r1 @ ( sK7_SY102 @ SV5 ) @ SY130 )
| ! [SX5: $i] :
( ~ ( r1 @ SY130 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY130 @ SX5 )
| ~ ( ~ ( ~ ( p4 @ SX5 )
| ~ ~ ( p3 @ SX5 ) )
| ~ ( ~ ~ ( p4 @ SX5 )
| ~ ( p3 @ SX5 ) ) ) ) )
| ~ ! [SY153: $i] :
( ~ ( r1 @ ( sK7_SY102 @ SV5 ) @ SY153 )
| ~ ( ~ ( ~ ( p3 @ SY153 )
| ~ ~ ( p2 @ SY153 ) )
| ~ ( ~ ~ ( p3 @ SY153 )
| ~ ( p2 @ SY153 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[56]) ).
thf(62,plain,
! [SV5: $i] :
( ( ( ! [SY127: $i] :
( ~ ( r1 @ SV5 @ SY127 )
| ~ ( ~ ( ~ ( p2 @ SY127 )
| ~ ~ ( p1 @ SY127 ) )
| ~ ( ~ ~ ( p2 @ SY127 )
| ~ ( p1 @ SY127 ) ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(63,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK6_SY128 @ SV5 ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(64,plain,
! [SV5: $i] :
( ( ( p15 @ ( sK6_SY128 @ SV5 ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(65,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p3 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p4 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p2 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p3 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p2 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(66,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ~ ( p1 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p2 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(67,plain,
! [SV5: $i] :
( ( ( ~ ( p2 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p1 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(68,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK7_SY102 @ SV5 ) )
| ! [SY130: $i] :
( ~ ( r1 @ ( sK7_SY102 @ SV5 ) @ SY130 )
| ! [SX5: $i] :
( ~ ( r1 @ SY130 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY130 @ SX5 )
| ~ ( ~ ( ~ ( p4 @ SX5 )
| ~ ~ ( p3 @ SX5 ) )
| ~ ( ~ ~ ( p4 @ SX5 )
| ~ ( p3 @ SX5 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(69,plain,
! [SV5: $i] :
( ( ( ~ ! [SY153: $i] :
( ~ ( r1 @ ( sK7_SY102 @ SV5 ) @ SY153 )
| ~ ( ~ ( ~ ( p3 @ SY153 )
| ~ ~ ( p2 @ SY153 ) )
| ~ ( ~ ~ ( p3 @ SY153 )
| ~ ( p2 @ SY153 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(70,plain,
! [SV6: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV6 )
| ~ ( ~ ( ~ ( p2 @ SV6 )
| ~ ~ ( p1 @ SV6 ) )
| ~ ( ~ ~ ( p2 @ SV6 )
| ~ ( p1 @ SV6 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(71,plain,
! [SV5: $i] :
( ( ( r1 @ SV5 @ ( sK6_SY128 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(72,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p3 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p4 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p2 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(73,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( p3 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p2 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(74,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p1 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p2 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(75,plain,
! [SV5: $i] :
( ( ( ~ ( p2 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ( p1 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(76,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK7_SY102 @ SV5 ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(77,plain,
! [SV5: $i] :
( ( ( ! [SY130: $i] :
( ~ ( r1 @ ( sK7_SY102 @ SV5 ) @ SY130 )
| ! [SX5: $i] :
( ~ ( r1 @ SY130 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY130 @ SX5 )
| ~ ( ~ ( ~ ( p4 @ SX5 )
| ~ ~ ( p3 @ SX5 ) )
| ~ ( ~ ~ ( p4 @ SX5 )
| ~ ( p3 @ SX5 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(78,plain,
! [SV5: $i] :
( ( ( ! [SY153: $i] :
( ~ ( r1 @ ( sK7_SY102 @ SV5 ) @ SY153 )
| ~ ( ~ ( ~ ( p3 @ SY153 )
| ~ ~ ( p2 @ SY153 ) )
| ~ ( ~ ~ ( p3 @ SY153 )
| ~ ( p2 @ SY153 ) ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(79,plain,
! [SV6: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV6 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p2 @ SV6 )
| ~ ~ ( p1 @ SV6 ) )
| ~ ( ~ ~ ( p2 @ SV6 )
| ~ ( p1 @ SV6 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(80,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p3 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p4 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(81,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ~ ( p2 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(82,plain,
! [SV5: $i] :
( ( ( ~ ( p3 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p2 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(83,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p1 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ~ ( p2 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(84,plain,
! [SV5: $i] :
( ( ( p2 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( ~ ( p1 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(85,plain,
! [SV5: $i] :
( ( ( r1 @ SV5 @ ( sK7_SY102 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(86,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK7_SY102 @ SV5 ) @ ( sK8_SY130 @ SV5 ) )
| ! [SY154: $i] :
( ~ ( r1 @ ( sK8_SY130 @ SV5 ) @ SY154 )
| ! [SX6: $i] :
( ~ ( r1 @ SY154 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SY154 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) )
| ~ ! [SY175: $i] :
( ~ ( r1 @ ( sK8_SY130 @ SV5 ) @ SY175 )
| ~ ( ~ ( ~ ( p4 @ SY175 )
| ~ ~ ( p3 @ SY175 ) )
| ~ ( ~ ~ ( p4 @ SY175 )
| ~ ( p3 @ SY175 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[77]) ).
thf(87,plain,
! [SV7: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK7_SY102 @ SV5 ) @ SV7 )
| ~ ( ~ ( ~ ( p3 @ SV7 )
| ~ ~ ( p2 @ SV7 ) )
| ~ ( ~ ~ ( p3 @ SV7 )
| ~ ( p2 @ SV7 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(88,plain,
! [SV6: $i,SV5: $i] :
( ( ( r1 @ SV5 @ SV6 )
= $false )
| ( ( ~ ( ~ ( ~ ( p2 @ SV6 )
| ~ ~ ( p1 @ SV6 ) )
| ~ ( ~ ~ ( p2 @ SV6 )
| ~ ( p1 @ SV6 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(89,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p3 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(90,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( p4 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(91,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p2 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(92,plain,
! [SV5: $i] :
( ( ( ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ( p2 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(93,plain,
! [SV5: $i] :
( ( ( ~ ( p1 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( ~ ~ ( p2 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(94,plain,
! [SV5: $i] :
( ( ( p1 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( p2 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(95,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK7_SY102 @ SV5 ) @ ( sK8_SY130 @ SV5 ) )
| ! [SY154: $i] :
( ~ ( r1 @ ( sK8_SY130 @ SV5 ) @ SY154 )
| ! [SX6: $i] :
( ~ ( r1 @ SY154 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SY154 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(96,plain,
! [SV5: $i] :
( ( ( ~ ! [SY175: $i] :
( ~ ( r1 @ ( sK8_SY130 @ SV5 ) @ SY175 )
| ~ ( ~ ( ~ ( p4 @ SY175 )
| ~ ~ ( p3 @ SY175 ) )
| ~ ( ~ ~ ( p4 @ SY175 )
| ~ ( p3 @ SY175 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(97,plain,
! [SV7: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK7_SY102 @ SV5 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p3 @ SV7 )
| ~ ~ ( p2 @ SV7 ) )
| ~ ( ~ ~ ( p3 @ SV7 )
| ~ ( p2 @ SV7 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(98,plain,
! [SV5: $i,SV6: $i] :
( ( ( ~ ( ~ ( p2 @ SV6 )
| ~ ~ ( p1 @ SV6 ) )
| ~ ( ~ ~ ( p2 @ SV6 )
| ~ ( p1 @ SV6 ) ) )
= $false )
| ( ( r1 @ SV5 @ SV6 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(99,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(100,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ~ ( p3 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(101,plain,
! [SV5: $i] :
( ( ( ~ ( p4 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(102,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p2 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(103,plain,
! [SV5: $i] :
( ( ( p3 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( ~ ( p2 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(104,plain,
! [SV5: $i] :
( ( ( p1 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( ~ ~ ( p2 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(105,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK7_SY102 @ SV5 ) @ ( sK8_SY130 @ SV5 ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(106,plain,
! [SV5: $i] :
( ( ( ! [SY154: $i] :
( ~ ( r1 @ ( sK8_SY130 @ SV5 ) @ SY154 )
| ! [SX6: $i] :
( ~ ( r1 @ SY154 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SX6: $i] :
( ~ ( r1 @ SY154 @ SX6 )
| ~ ( ~ ( ~ ( p5 @ SX6 )
| ~ ~ ( p4 @ SX6 ) )
| ~ ( ~ ~ ( p5 @ SX6 )
| ~ ( p4 @ SX6 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(107,plain,
! [SV5: $i] :
( ( ( ! [SY175: $i] :
( ~ ( r1 @ ( sK8_SY130 @ SV5 ) @ SY175 )
| ~ ( ~ ( ~ ( p4 @ SY175 )
| ~ ~ ( p3 @ SY175 ) )
| ~ ( ~ ~ ( p4 @ SY175 )
| ~ ( p3 @ SY175 ) ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(108,plain,
! [SV7: $i,SV5: $i] :
( ( ( r1 @ ( sK7_SY102 @ SV5 ) @ SV7 )
= $false )
| ( ( ~ ( ~ ( ~ ( p3 @ SV7 )
| ~ ~ ( p2 @ SV7 ) )
| ~ ( ~ ~ ( p3 @ SV7 )
| ~ ( p2 @ SV7 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(109,plain,
! [SV5: $i,SV6: $i] :
( ( ( ~ ( ~ ( p2 @ SV6 )
| ~ ~ ( p1 @ SV6 ) ) )
= $false )
| ( ( r1 @ SV5 @ SV6 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(110,plain,
! [SV5: $i,SV6: $i] :
( ( ( ~ ( ~ ~ ( p2 @ SV6 )
| ~ ( p1 @ SV6 ) ) )
= $false )
| ( ( r1 @ SV5 @ SV6 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(111,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(112,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(113,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p3 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(114,plain,
! [SV5: $i] :
( ( ( ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(115,plain,
! [SV5: $i] :
( ( ( ~ ( p2 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( ~ ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(116,plain,
! [SV5: $i] :
( ( ( p2 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( p3 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(117,plain,
! [SV5: $i] :
( ( ( ~ ( p2 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( p1 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(118,plain,
! [SV5: $i] :
( ( ( r1 @ ( sK7_SY102 @ SV5 ) @ ( sK8_SY130 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(119,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK8_SY130 @ SV5 ) @ ( sK9_SY154 @ SV5 ) )
| ! [SY176: $i] :
( ~ ( r1 @ ( sK9_SY154 @ SV5 ) @ SY176 )
| ! [SX7: $i] :
( ~ ( r1 @ SY176 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SY176 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) )
| ~ ! [SY195: $i] :
( ~ ( r1 @ ( sK9_SY154 @ SV5 ) @ SY195 )
| ~ ( ~ ( ~ ( p5 @ SY195 )
| ~ ~ ( p4 @ SY195 ) )
| ~ ( ~ ~ ( p5 @ SY195 )
| ~ ( p4 @ SY195 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[106]) ).
thf(120,plain,
! [SV8: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK8_SY130 @ SV5 ) @ SV8 )
| ~ ( ~ ( ~ ( p4 @ SV8 )
| ~ ~ ( p3 @ SV8 ) )
| ~ ( ~ ~ ( p4 @ SV8 )
| ~ ( p3 @ SV8 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(121,plain,
! [SV5: $i,SV7: $i] :
( ( ( ~ ( ~ ( p3 @ SV7 )
| ~ ~ ( p2 @ SV7 ) )
| ~ ( ~ ~ ( p3 @ SV7 )
| ~ ( p2 @ SV7 ) ) )
= $false )
| ( ( r1 @ ( sK7_SY102 @ SV5 ) @ SV7 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(122,plain,
! [SV5: $i,SV6: $i] :
( ( ( ~ ( p2 @ SV6 )
| ~ ~ ( p1 @ SV6 ) )
= $true )
| ( ( r1 @ SV5 @ SV6 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(123,plain,
! [SV5: $i,SV6: $i] :
( ( ( ~ ~ ( p2 @ SV6 )
| ~ ( p1 @ SV6 ) )
= $true )
| ( ( r1 @ SV5 @ SV6 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(124,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(125,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(126,plain,
! [SV5: $i] :
( ( ( ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(127,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(128,plain,
! [SV5: $i] :
( ( ( p4 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(129,plain,
! [SV5: $i] :
( ( ( p2 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( ~ ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(130,plain,
! [SV5: $i] :
( ( ( p2 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( p1 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(131,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK8_SY130 @ SV5 ) @ ( sK9_SY154 @ SV5 ) )
| ! [SY176: $i] :
( ~ ( r1 @ ( sK9_SY154 @ SV5 ) @ SY176 )
| ! [SX7: $i] :
( ~ ( r1 @ SY176 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SY176 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(132,plain,
! [SV5: $i] :
( ( ( ~ ! [SY195: $i] :
( ~ ( r1 @ ( sK9_SY154 @ SV5 ) @ SY195 )
| ~ ( ~ ( ~ ( p5 @ SY195 )
| ~ ~ ( p4 @ SY195 ) )
| ~ ( ~ ~ ( p5 @ SY195 )
| ~ ( p4 @ SY195 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(133,plain,
! [SV8: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK8_SY130 @ SV5 ) @ SV8 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p4 @ SV8 )
| ~ ~ ( p3 @ SV8 ) )
| ~ ( ~ ~ ( p4 @ SV8 )
| ~ ( p3 @ SV8 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(134,plain,
! [SV5: $i,SV7: $i] :
( ( ( ~ ( ~ ( p3 @ SV7 )
| ~ ~ ( p2 @ SV7 ) ) )
= $false )
| ( ( r1 @ ( sK7_SY102 @ SV5 ) @ SV7 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(135,plain,
! [SV5: $i,SV7: $i] :
( ( ( ~ ( ~ ~ ( p3 @ SV7 )
| ~ ( p2 @ SV7 ) ) )
= $false )
| ( ( r1 @ ( sK7_SY102 @ SV5 ) @ SV7 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(136,plain,
! [SV5: $i,SV6: $i] :
( ( ( ~ ( p2 @ SV6 ) )
= $true )
| ( ( ~ ~ ( p1 @ SV6 ) )
= $true )
| ( ( r1 @ SV5 @ SV6 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(137,plain,
! [SV5: $i,SV6: $i] :
( ( ( ~ ~ ( p2 @ SV6 ) )
= $true )
| ( ( ~ ( p1 @ SV6 ) )
= $true )
| ( ( r1 @ SV5 @ SV6 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(138,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(139,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(140,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(141,plain,
! [SV5: $i] :
( ( ( ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(142,plain,
! [SV5: $i] :
( ( ( ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(143,plain,
! [SV5: $i] :
( ( ( p3 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( p4 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(144,plain,
! [SV5: $i] :
( ( ( ~ ( p3 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( p2 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(145,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK8_SY130 @ SV5 ) @ ( sK9_SY154 @ SV5 ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(146,plain,
! [SV5: $i] :
( ( ( ! [SY176: $i] :
( ~ ( r1 @ ( sK9_SY154 @ SV5 ) @ SY176 )
| ! [SX7: $i] :
( ~ ( r1 @ SY176 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SX7: $i] :
( ~ ( r1 @ SY176 @ SX7 )
| ~ ( ~ ( ~ ( p6 @ SX7 )
| ~ ~ ( p5 @ SX7 ) )
| ~ ( ~ ~ ( p6 @ SX7 )
| ~ ( p5 @ SX7 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(147,plain,
! [SV5: $i] :
( ( ( ! [SY195: $i] :
( ~ ( r1 @ ( sK9_SY154 @ SV5 ) @ SY195 )
| ~ ( ~ ( ~ ( p5 @ SY195 )
| ~ ~ ( p4 @ SY195 ) )
| ~ ( ~ ~ ( p5 @ SY195 )
| ~ ( p4 @ SY195 ) ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(148,plain,
! [SV8: $i,SV5: $i] :
( ( ( r1 @ ( sK8_SY130 @ SV5 ) @ SV8 )
= $false )
| ( ( ~ ( ~ ( ~ ( p4 @ SV8 )
| ~ ~ ( p3 @ SV8 ) )
| ~ ( ~ ~ ( p4 @ SV8 )
| ~ ( p3 @ SV8 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(149,plain,
! [SV5: $i,SV7: $i] :
( ( ( ~ ( p3 @ SV7 )
| ~ ~ ( p2 @ SV7 ) )
= $true )
| ( ( r1 @ ( sK7_SY102 @ SV5 ) @ SV7 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(150,plain,
! [SV5: $i,SV7: $i] :
( ( ( ~ ~ ( p3 @ SV7 )
| ~ ( p2 @ SV7 ) )
= $true )
| ( ( r1 @ ( sK7_SY102 @ SV5 ) @ SV7 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(151,plain,
! [SV5: $i,SV6: $i] :
( ( ( p2 @ SV6 )
= $false )
| ( ( ~ ~ ( p1 @ SV6 ) )
= $true )
| ( ( r1 @ SV5 @ SV6 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(152,plain,
! [SV5: $i,SV6: $i] :
( ( ( ~ ( p2 @ SV6 ) )
= $false )
| ( ( ~ ( p1 @ SV6 ) )
= $true )
| ( ( r1 @ SV5 @ SV6 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(153,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(154,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(155,plain,
! [SV5: $i] :
( ( ( ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(156,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(157,plain,
! [SV5: $i] :
( ( ( p5 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(158,plain,
! [SV5: $i] :
( ( ( p3 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( ~ ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(159,plain,
! [SV5: $i] :
( ( ( p3 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( p2 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(160,plain,
! [SV5: $i] :
( ( ( r1 @ ( sK8_SY130 @ SV5 ) @ ( sK9_SY154 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(161,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK9_SY154 @ SV5 ) @ ( sK10_SY176 @ SV5 ) )
| ! [SY196: $i] :
( ~ ( r1 @ ( sK10_SY176 @ SV5 ) @ SY196 )
| ! [SX8: $i] :
( ~ ( r1 @ SY196 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SY196 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) )
| ~ ! [SY213: $i] :
( ~ ( r1 @ ( sK10_SY176 @ SV5 ) @ SY213 )
| ~ ( ~ ( ~ ( p6 @ SY213 )
| ~ ~ ( p5 @ SY213 ) )
| ~ ( ~ ~ ( p6 @ SY213 )
| ~ ( p5 @ SY213 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[146]) ).
thf(162,plain,
! [SV9: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK9_SY154 @ SV5 ) @ SV9 )
| ~ ( ~ ( ~ ( p5 @ SV9 )
| ~ ~ ( p4 @ SV9 ) )
| ~ ( ~ ~ ( p5 @ SV9 )
| ~ ( p4 @ SV9 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(163,plain,
! [SV5: $i,SV8: $i] :
( ( ( ~ ( ~ ( p4 @ SV8 )
| ~ ~ ( p3 @ SV8 ) )
| ~ ( ~ ~ ( p4 @ SV8 )
| ~ ( p3 @ SV8 ) ) )
= $false )
| ( ( r1 @ ( sK8_SY130 @ SV5 ) @ SV8 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(164,plain,
! [SV5: $i,SV7: $i] :
( ( ( ~ ( p3 @ SV7 ) )
= $true )
| ( ( ~ ~ ( p2 @ SV7 ) )
= $true )
| ( ( r1 @ ( sK7_SY102 @ SV5 ) @ SV7 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(165,plain,
! [SV5: $i,SV7: $i] :
( ( ( ~ ~ ( p3 @ SV7 ) )
= $true )
| ( ( ~ ( p2 @ SV7 ) )
= $true )
| ( ( r1 @ ( sK7_SY102 @ SV5 ) @ SV7 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(166,plain,
! [SV5: $i,SV6: $i] :
( ( ( ~ ( p1 @ SV6 ) )
= $false )
| ( ( p2 @ SV6 )
= $false )
| ( ( r1 @ SV5 @ SV6 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(167,plain,
! [SV5: $i,SV6: $i] :
( ( ( p2 @ SV6 )
= $true )
| ( ( ~ ( p1 @ SV6 ) )
= $true )
| ( ( r1 @ SV5 @ SV6 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(168,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(169,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(170,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(171,plain,
! [SV5: $i] :
( ( ( ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(172,plain,
! [SV5: $i] :
( ( ( ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(173,plain,
! [SV5: $i] :
( ( ( p4 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( p5 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(174,plain,
! [SV5: $i] :
( ( ( ~ ( p4 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( p3 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(175,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK9_SY154 @ SV5 ) @ ( sK10_SY176 @ SV5 ) )
| ! [SY196: $i] :
( ~ ( r1 @ ( sK10_SY176 @ SV5 ) @ SY196 )
| ! [SX8: $i] :
( ~ ( r1 @ SY196 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SY196 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(176,plain,
! [SV5: $i] :
( ( ( ~ ! [SY213: $i] :
( ~ ( r1 @ ( sK10_SY176 @ SV5 ) @ SY213 )
| ~ ( ~ ( ~ ( p6 @ SY213 )
| ~ ~ ( p5 @ SY213 ) )
| ~ ( ~ ~ ( p6 @ SY213 )
| ~ ( p5 @ SY213 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(177,plain,
! [SV9: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK9_SY154 @ SV5 ) @ SV9 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p5 @ SV9 )
| ~ ~ ( p4 @ SV9 ) )
| ~ ( ~ ~ ( p5 @ SV9 )
| ~ ( p4 @ SV9 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(178,plain,
! [SV5: $i,SV8: $i] :
( ( ( ~ ( ~ ( p4 @ SV8 )
| ~ ~ ( p3 @ SV8 ) ) )
= $false )
| ( ( r1 @ ( sK8_SY130 @ SV5 ) @ SV8 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[163]) ).
thf(179,plain,
! [SV5: $i,SV8: $i] :
( ( ( ~ ( ~ ~ ( p4 @ SV8 )
| ~ ( p3 @ SV8 ) ) )
= $false )
| ( ( r1 @ ( sK8_SY130 @ SV5 ) @ SV8 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[163]) ).
thf(180,plain,
! [SV5: $i,SV7: $i] :
( ( ( p3 @ SV7 )
= $false )
| ( ( ~ ~ ( p2 @ SV7 ) )
= $true )
| ( ( r1 @ ( sK7_SY102 @ SV5 ) @ SV7 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(181,plain,
! [SV5: $i,SV7: $i] :
( ( ( ~ ( p3 @ SV7 ) )
= $false )
| ( ( ~ ( p2 @ SV7 ) )
= $true )
| ( ( r1 @ ( sK7_SY102 @ SV5 ) @ SV7 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(182,plain,
! [SV5: $i,SV6: $i] :
( ( ( p1 @ SV6 )
= $true )
| ( ( p2 @ SV6 )
= $false )
| ( ( r1 @ SV5 @ SV6 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(183,plain,
! [SV5: $i,SV6: $i] :
( ( ( p1 @ SV6 )
= $false )
| ( ( p2 @ SV6 )
= $true )
| ( ( r1 @ SV5 @ SV6 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(184,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(185,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(186,plain,
! [SV5: $i] :
( ( ( ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(187,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(188,plain,
! [SV5: $i] :
( ( ( p6 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(189,plain,
! [SV5: $i] :
( ( ( p4 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( ~ ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(190,plain,
! [SV5: $i] :
( ( ( p4 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( p3 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(191,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK9_SY154 @ SV5 ) @ ( sK10_SY176 @ SV5 ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(192,plain,
! [SV5: $i] :
( ( ( ! [SY196: $i] :
( ~ ( r1 @ ( sK10_SY176 @ SV5 ) @ SY196 )
| ! [SX8: $i] :
( ~ ( r1 @ SY196 @ SX8 )
| ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SX8 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SX8: $i] :
( ~ ( r1 @ SY196 @ SX8 )
| ~ ( ~ ( ~ ( p7 @ SX8 )
| ~ ~ ( p6 @ SX8 ) )
| ~ ( ~ ~ ( p7 @ SX8 )
| ~ ( p6 @ SX8 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(193,plain,
! [SV5: $i] :
( ( ( ! [SY213: $i] :
( ~ ( r1 @ ( sK10_SY176 @ SV5 ) @ SY213 )
| ~ ( ~ ( ~ ( p6 @ SY213 )
| ~ ~ ( p5 @ SY213 ) )
| ~ ( ~ ~ ( p6 @ SY213 )
| ~ ( p5 @ SY213 ) ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(194,plain,
! [SV9: $i,SV5: $i] :
( ( ( r1 @ ( sK9_SY154 @ SV5 ) @ SV9 )
= $false )
| ( ( ~ ( ~ ( ~ ( p5 @ SV9 )
| ~ ~ ( p4 @ SV9 ) )
| ~ ( ~ ~ ( p5 @ SV9 )
| ~ ( p4 @ SV9 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(195,plain,
! [SV5: $i,SV8: $i] :
( ( ( ~ ( p4 @ SV8 )
| ~ ~ ( p3 @ SV8 ) )
= $true )
| ( ( r1 @ ( sK8_SY130 @ SV5 ) @ SV8 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(196,plain,
! [SV5: $i,SV8: $i] :
( ( ( ~ ~ ( p4 @ SV8 )
| ~ ( p3 @ SV8 ) )
= $true )
| ( ( r1 @ ( sK8_SY130 @ SV5 ) @ SV8 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(197,plain,
! [SV5: $i,SV7: $i] :
( ( ( ~ ( p2 @ SV7 ) )
= $false )
| ( ( p3 @ SV7 )
= $false )
| ( ( r1 @ ( sK7_SY102 @ SV5 ) @ SV7 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(198,plain,
! [SV5: $i,SV7: $i] :
( ( ( p3 @ SV7 )
= $true )
| ( ( ~ ( p2 @ SV7 ) )
= $true )
| ( ( r1 @ ( sK7_SY102 @ SV5 ) @ SV7 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(199,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(200,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(201,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(202,plain,
! [SV5: $i] :
( ( ( ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(203,plain,
! [SV5: $i] :
( ( ( ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(204,plain,
! [SV5: $i] :
( ( ( p5 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( p6 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(205,plain,
! [SV5: $i] :
( ( ( ~ ( p5 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( p4 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(206,plain,
! [SV5: $i] :
( ( ( r1 @ ( sK9_SY154 @ SV5 ) @ ( sK10_SY176 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(207,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK10_SY176 @ SV5 ) @ ( sK11_SY196 @ SV5 ) )
| ! [SY214: $i] :
( ~ ( r1 @ ( sK11_SY196 @ SV5 ) @ SY214 )
| ! [SX9: $i] :
( ~ ( r1 @ SY214 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SY214 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) )
| ~ ! [SY229: $i] :
( ~ ( r1 @ ( sK11_SY196 @ SV5 ) @ SY229 )
| ~ ( ~ ( ~ ( p7 @ SY229 )
| ~ ~ ( p6 @ SY229 ) )
| ~ ( ~ ~ ( p7 @ SY229 )
| ~ ( p6 @ SY229 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[192]) ).
thf(208,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK10_SY176 @ SV5 ) @ SV10 )
| ~ ( ~ ( ~ ( p6 @ SV10 )
| ~ ~ ( p5 @ SV10 ) )
| ~ ( ~ ~ ( p6 @ SV10 )
| ~ ( p5 @ SV10 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(209,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ( ~ ( p5 @ SV9 )
| ~ ~ ( p4 @ SV9 ) )
| ~ ( ~ ~ ( p5 @ SV9 )
| ~ ( p4 @ SV9 ) ) )
= $false )
| ( ( r1 @ ( sK9_SY154 @ SV5 ) @ SV9 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(210,plain,
! [SV5: $i,SV8: $i] :
( ( ( ~ ( p4 @ SV8 ) )
= $true )
| ( ( ~ ~ ( p3 @ SV8 ) )
= $true )
| ( ( r1 @ ( sK8_SY130 @ SV5 ) @ SV8 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(211,plain,
! [SV5: $i,SV8: $i] :
( ( ( ~ ~ ( p4 @ SV8 ) )
= $true )
| ( ( ~ ( p3 @ SV8 ) )
= $true )
| ( ( r1 @ ( sK8_SY130 @ SV5 ) @ SV8 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(212,plain,
! [SV5: $i,SV7: $i] :
( ( ( p2 @ SV7 )
= $true )
| ( ( p3 @ SV7 )
= $false )
| ( ( r1 @ ( sK7_SY102 @ SV5 ) @ SV7 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(213,plain,
! [SV5: $i,SV7: $i] :
( ( ( p2 @ SV7 )
= $false )
| ( ( p3 @ SV7 )
= $true )
| ( ( r1 @ ( sK7_SY102 @ SV5 ) @ SV7 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(214,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(215,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(216,plain,
! [SV5: $i] :
( ( ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(217,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(218,plain,
! [SV5: $i] :
( ( ( p7 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(219,plain,
! [SV5: $i] :
( ( ( p5 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( ~ ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(220,plain,
! [SV5: $i] :
( ( ( p5 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( p4 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(221,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK10_SY176 @ SV5 ) @ ( sK11_SY196 @ SV5 ) )
| ! [SY214: $i] :
( ~ ( r1 @ ( sK11_SY196 @ SV5 ) @ SY214 )
| ! [SX9: $i] :
( ~ ( r1 @ SY214 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SY214 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(222,plain,
! [SV5: $i] :
( ( ( ~ ! [SY229: $i] :
( ~ ( r1 @ ( sK11_SY196 @ SV5 ) @ SY229 )
| ~ ( ~ ( ~ ( p7 @ SY229 )
| ~ ~ ( p6 @ SY229 ) )
| ~ ( ~ ~ ( p7 @ SY229 )
| ~ ( p6 @ SY229 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(223,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK10_SY176 @ SV5 ) @ SV10 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p6 @ SV10 )
| ~ ~ ( p5 @ SV10 ) )
| ~ ( ~ ~ ( p6 @ SV10 )
| ~ ( p5 @ SV10 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(224,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ( ~ ( p5 @ SV9 )
| ~ ~ ( p4 @ SV9 ) ) )
= $false )
| ( ( r1 @ ( sK9_SY154 @ SV5 ) @ SV9 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(225,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( p5 @ SV9 )
| ~ ( p4 @ SV9 ) ) )
= $false )
| ( ( r1 @ ( sK9_SY154 @ SV5 ) @ SV9 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(226,plain,
! [SV5: $i,SV8: $i] :
( ( ( p4 @ SV8 )
= $false )
| ( ( ~ ~ ( p3 @ SV8 ) )
= $true )
| ( ( r1 @ ( sK8_SY130 @ SV5 ) @ SV8 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(227,plain,
! [SV5: $i,SV8: $i] :
( ( ( ~ ( p4 @ SV8 ) )
= $false )
| ( ( ~ ( p3 @ SV8 ) )
= $true )
| ( ( r1 @ ( sK8_SY130 @ SV5 ) @ SV8 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(228,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(229,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(230,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(231,plain,
! [SV5: $i] :
( ( ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(232,plain,
! [SV5: $i] :
( ( ( ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(233,plain,
! [SV5: $i] :
( ( ( p6 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( p7 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(234,plain,
! [SV5: $i] :
( ( ( ~ ( p6 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( p5 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(235,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK10_SY176 @ SV5 ) @ ( sK11_SY196 @ SV5 ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(236,plain,
! [SV5: $i] :
( ( ( ! [SY214: $i] :
( ~ ( r1 @ ( sK11_SY196 @ SV5 ) @ SY214 )
| ! [SX9: $i] :
( ~ ( r1 @ SY214 @ SX9 )
| ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SX9 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SX9: $i] :
( ~ ( r1 @ SY214 @ SX9 )
| ~ ( ~ ( ~ ( p8 @ SX9 )
| ~ ~ ( p7 @ SX9 ) )
| ~ ( ~ ~ ( p8 @ SX9 )
| ~ ( p7 @ SX9 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(237,plain,
! [SV5: $i] :
( ( ( ! [SY229: $i] :
( ~ ( r1 @ ( sK11_SY196 @ SV5 ) @ SY229 )
| ~ ( ~ ( ~ ( p7 @ SY229 )
| ~ ~ ( p6 @ SY229 ) )
| ~ ( ~ ~ ( p7 @ SY229 )
| ~ ( p6 @ SY229 ) ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(238,plain,
! [SV10: $i,SV5: $i] :
( ( ( r1 @ ( sK10_SY176 @ SV5 ) @ SV10 )
= $false )
| ( ( ~ ( ~ ( ~ ( p6 @ SV10 )
| ~ ~ ( p5 @ SV10 ) )
| ~ ( ~ ~ ( p6 @ SV10 )
| ~ ( p5 @ SV10 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(239,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ( p5 @ SV9 )
| ~ ~ ( p4 @ SV9 ) )
= $true )
| ( ( r1 @ ( sK9_SY154 @ SV5 ) @ SV9 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(240,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ~ ( p5 @ SV9 )
| ~ ( p4 @ SV9 ) )
= $true )
| ( ( r1 @ ( sK9_SY154 @ SV5 ) @ SV9 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(241,plain,
! [SV5: $i,SV8: $i] :
( ( ( ~ ( p3 @ SV8 ) )
= $false )
| ( ( p4 @ SV8 )
= $false )
| ( ( r1 @ ( sK8_SY130 @ SV5 ) @ SV8 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(242,plain,
! [SV5: $i,SV8: $i] :
( ( ( p4 @ SV8 )
= $true )
| ( ( ~ ( p3 @ SV8 ) )
= $true )
| ( ( r1 @ ( sK8_SY130 @ SV5 ) @ SV8 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(243,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(244,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(245,plain,
! [SV5: $i] :
( ( ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(246,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(247,plain,
! [SV5: $i] :
( ( ( p8 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(248,plain,
! [SV5: $i] :
( ( ( p6 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( ~ ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(249,plain,
! [SV5: $i] :
( ( ( p6 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( p5 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(250,plain,
! [SV5: $i] :
( ( ( r1 @ ( sK10_SY176 @ SV5 ) @ ( sK11_SY196 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(251,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK11_SY196 @ SV5 ) @ ( sK12_SY214 @ SV5 ) )
| ! [SY230: $i] :
( ~ ( r1 @ ( sK12_SY214 @ SV5 ) @ SY230 )
| ! [SX10: $i] :
( ~ ( r1 @ SY230 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SY230 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) )
| ~ ! [SY243: $i] :
( ~ ( r1 @ ( sK12_SY214 @ SV5 ) @ SY243 )
| ~ ( ~ ( ~ ( p8 @ SY243 )
| ~ ~ ( p7 @ SY243 ) )
| ~ ( ~ ~ ( p8 @ SY243 )
| ~ ( p7 @ SY243 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[236]) ).
thf(252,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK11_SY196 @ SV5 ) @ SV11 )
| ~ ( ~ ( ~ ( p7 @ SV11 )
| ~ ~ ( p6 @ SV11 ) )
| ~ ( ~ ~ ( p7 @ SV11 )
| ~ ( p6 @ SV11 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(253,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ( p6 @ SV10 )
| ~ ~ ( p5 @ SV10 ) )
| ~ ( ~ ~ ( p6 @ SV10 )
| ~ ( p5 @ SV10 ) ) )
= $false )
| ( ( r1 @ ( sK10_SY176 @ SV5 ) @ SV10 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(254,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ( p5 @ SV9 ) )
= $true )
| ( ( ~ ~ ( p4 @ SV9 ) )
= $true )
| ( ( r1 @ ( sK9_SY154 @ SV5 ) @ SV9 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(255,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ~ ( p5 @ SV9 ) )
= $true )
| ( ( ~ ( p4 @ SV9 ) )
= $true )
| ( ( r1 @ ( sK9_SY154 @ SV5 ) @ SV9 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(256,plain,
! [SV5: $i,SV8: $i] :
( ( ( p3 @ SV8 )
= $true )
| ( ( p4 @ SV8 )
= $false )
| ( ( r1 @ ( sK8_SY130 @ SV5 ) @ SV8 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(257,plain,
! [SV5: $i,SV8: $i] :
( ( ( p3 @ SV8 )
= $false )
| ( ( p4 @ SV8 )
= $true )
| ( ( r1 @ ( sK8_SY130 @ SV5 ) @ SV8 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(258,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(259,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(260,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(261,plain,
! [SV5: $i] :
( ( ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(262,plain,
! [SV5: $i] :
( ( ( ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(263,plain,
! [SV5: $i] :
( ( ( p7 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( p8 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(264,plain,
! [SV5: $i] :
( ( ( ~ ( p7 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( p6 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(265,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK11_SY196 @ SV5 ) @ ( sK12_SY214 @ SV5 ) )
| ! [SY230: $i] :
( ~ ( r1 @ ( sK12_SY214 @ SV5 ) @ SY230 )
| ! [SX10: $i] :
( ~ ( r1 @ SY230 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SY230 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(266,plain,
! [SV5: $i] :
( ( ( ~ ! [SY243: $i] :
( ~ ( r1 @ ( sK12_SY214 @ SV5 ) @ SY243 )
| ~ ( ~ ( ~ ( p8 @ SY243 )
| ~ ~ ( p7 @ SY243 ) )
| ~ ( ~ ~ ( p8 @ SY243 )
| ~ ( p7 @ SY243 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(267,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK11_SY196 @ SV5 ) @ SV11 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p7 @ SV11 )
| ~ ~ ( p6 @ SV11 ) )
| ~ ( ~ ~ ( p7 @ SV11 )
| ~ ( p6 @ SV11 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(268,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ( p6 @ SV10 )
| ~ ~ ( p5 @ SV10 ) ) )
= $false )
| ( ( r1 @ ( sK10_SY176 @ SV5 ) @ SV10 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(269,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( p6 @ SV10 )
| ~ ( p5 @ SV10 ) ) )
= $false )
| ( ( r1 @ ( sK10_SY176 @ SV5 ) @ SV10 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(270,plain,
! [SV5: $i,SV9: $i] :
( ( ( p5 @ SV9 )
= $false )
| ( ( ~ ~ ( p4 @ SV9 ) )
= $true )
| ( ( r1 @ ( sK9_SY154 @ SV5 ) @ SV9 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(271,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ( p5 @ SV9 ) )
= $false )
| ( ( ~ ( p4 @ SV9 ) )
= $true )
| ( ( r1 @ ( sK9_SY154 @ SV5 ) @ SV9 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(272,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(273,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(274,plain,
! [SV5: $i] :
( ( ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(275,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(276,plain,
! [SV5: $i] :
( ( ( p9 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(277,plain,
! [SV5: $i] :
( ( ( p7 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( ~ ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(278,plain,
! [SV5: $i] :
( ( ( p7 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( p6 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(279,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK11_SY196 @ SV5 ) @ ( sK12_SY214 @ SV5 ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(280,plain,
! [SV5: $i] :
( ( ( ! [SY230: $i] :
( ~ ( r1 @ ( sK12_SY214 @ SV5 ) @ SY230 )
| ! [SX10: $i] :
( ~ ( r1 @ SY230 @ SX10 )
| ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SX10 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SX10: $i] :
( ~ ( r1 @ SY230 @ SX10 )
| ~ ( ~ ( ~ ( p9 @ SX10 )
| ~ ~ ( p8 @ SX10 ) )
| ~ ( ~ ~ ( p9 @ SX10 )
| ~ ( p8 @ SX10 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(281,plain,
! [SV5: $i] :
( ( ( ! [SY243: $i] :
( ~ ( r1 @ ( sK12_SY214 @ SV5 ) @ SY243 )
| ~ ( ~ ( ~ ( p8 @ SY243 )
| ~ ~ ( p7 @ SY243 ) )
| ~ ( ~ ~ ( p8 @ SY243 )
| ~ ( p7 @ SY243 ) ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(282,plain,
! [SV11: $i,SV5: $i] :
( ( ( r1 @ ( sK11_SY196 @ SV5 ) @ SV11 )
= $false )
| ( ( ~ ( ~ ( ~ ( p7 @ SV11 )
| ~ ~ ( p6 @ SV11 ) )
| ~ ( ~ ~ ( p7 @ SV11 )
| ~ ( p6 @ SV11 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(283,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( p6 @ SV10 )
| ~ ~ ( p5 @ SV10 ) )
= $true )
| ( ( r1 @ ( sK10_SY176 @ SV5 ) @ SV10 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(284,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ~ ( p6 @ SV10 )
| ~ ( p5 @ SV10 ) )
= $true )
| ( ( r1 @ ( sK10_SY176 @ SV5 ) @ SV10 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(285,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ( p4 @ SV9 ) )
= $false )
| ( ( p5 @ SV9 )
= $false )
| ( ( r1 @ ( sK9_SY154 @ SV5 ) @ SV9 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(286,plain,
! [SV5: $i,SV9: $i] :
( ( ( p5 @ SV9 )
= $true )
| ( ( ~ ( p4 @ SV9 ) )
= $true )
| ( ( r1 @ ( sK9_SY154 @ SV5 ) @ SV9 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(287,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(288,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(289,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(290,plain,
! [SV5: $i] :
( ( ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(291,plain,
! [SV5: $i] :
( ( ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(292,plain,
! [SV5: $i] :
( ( ( p8 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( p9 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(293,plain,
! [SV5: $i] :
( ( ( ~ ( p8 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( p7 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(294,plain,
! [SV5: $i] :
( ( ( r1 @ ( sK11_SY196 @ SV5 ) @ ( sK12_SY214 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(295,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK12_SY214 @ SV5 ) @ ( sK13_SY230 @ SV5 ) )
| ! [SY244: $i] :
( ~ ( r1 @ ( sK13_SY230 @ SV5 ) @ SY244 )
| ! [SX11: $i] :
( ~ ( r1 @ SY244 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SY244 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) )
| ~ ! [SY255: $i] :
( ~ ( r1 @ ( sK13_SY230 @ SV5 ) @ SY255 )
| ~ ( ~ ( ~ ( p9 @ SY255 )
| ~ ~ ( p8 @ SY255 ) )
| ~ ( ~ ~ ( p9 @ SY255 )
| ~ ( p8 @ SY255 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[280]) ).
thf(296,plain,
! [SV12: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK12_SY214 @ SV5 ) @ SV12 )
| ~ ( ~ ( ~ ( p8 @ SV12 )
| ~ ~ ( p7 @ SV12 ) )
| ~ ( ~ ~ ( p8 @ SV12 )
| ~ ( p7 @ SV12 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(297,plain,
! [SV5: $i,SV11: $i] :
( ( ( ~ ( ~ ( p7 @ SV11 )
| ~ ~ ( p6 @ SV11 ) )
| ~ ( ~ ~ ( p7 @ SV11 )
| ~ ( p6 @ SV11 ) ) )
= $false )
| ( ( r1 @ ( sK11_SY196 @ SV5 ) @ SV11 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(298,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( p6 @ SV10 ) )
= $true )
| ( ( ~ ~ ( p5 @ SV10 ) )
= $true )
| ( ( r1 @ ( sK10_SY176 @ SV5 ) @ SV10 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(299,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ~ ( p6 @ SV10 ) )
= $true )
| ( ( ~ ( p5 @ SV10 ) )
= $true )
| ( ( r1 @ ( sK10_SY176 @ SV5 ) @ SV10 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(300,plain,
! [SV5: $i,SV9: $i] :
( ( ( p4 @ SV9 )
= $true )
| ( ( p5 @ SV9 )
= $false )
| ( ( r1 @ ( sK9_SY154 @ SV5 ) @ SV9 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(301,plain,
! [SV5: $i,SV9: $i] :
( ( ( p4 @ SV9 )
= $false )
| ( ( p5 @ SV9 )
= $true )
| ( ( r1 @ ( sK9_SY154 @ SV5 ) @ SV9 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(302,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(303,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(304,plain,
! [SV5: $i] :
( ( ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(305,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(306,plain,
! [SV5: $i] :
( ( ( p10 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(307,plain,
! [SV5: $i] :
( ( ( p8 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( ~ ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(308,plain,
! [SV5: $i] :
( ( ( p8 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( p7 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(309,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK12_SY214 @ SV5 ) @ ( sK13_SY230 @ SV5 ) )
| ! [SY244: $i] :
( ~ ( r1 @ ( sK13_SY230 @ SV5 ) @ SY244 )
| ! [SX11: $i] :
( ~ ( r1 @ SY244 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SY244 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(310,plain,
! [SV5: $i] :
( ( ( ~ ! [SY255: $i] :
( ~ ( r1 @ ( sK13_SY230 @ SV5 ) @ SY255 )
| ~ ( ~ ( ~ ( p9 @ SY255 )
| ~ ~ ( p8 @ SY255 ) )
| ~ ( ~ ~ ( p9 @ SY255 )
| ~ ( p8 @ SY255 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(311,plain,
! [SV12: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK12_SY214 @ SV5 ) @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p8 @ SV12 )
| ~ ~ ( p7 @ SV12 ) )
| ~ ( ~ ~ ( p8 @ SV12 )
| ~ ( p7 @ SV12 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(312,plain,
! [SV5: $i,SV11: $i] :
( ( ( ~ ( ~ ( p7 @ SV11 )
| ~ ~ ( p6 @ SV11 ) ) )
= $false )
| ( ( r1 @ ( sK11_SY196 @ SV5 ) @ SV11 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(313,plain,
! [SV5: $i,SV11: $i] :
( ( ( ~ ( ~ ~ ( p7 @ SV11 )
| ~ ( p6 @ SV11 ) ) )
= $false )
| ( ( r1 @ ( sK11_SY196 @ SV5 ) @ SV11 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(314,plain,
! [SV5: $i,SV10: $i] :
( ( ( p6 @ SV10 )
= $false )
| ( ( ~ ~ ( p5 @ SV10 ) )
= $true )
| ( ( r1 @ ( sK10_SY176 @ SV5 ) @ SV10 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(315,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( p6 @ SV10 ) )
= $false )
| ( ( ~ ( p5 @ SV10 ) )
= $true )
| ( ( r1 @ ( sK10_SY176 @ SV5 ) @ SV10 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(316,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(317,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(318,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(319,plain,
! [SV5: $i] :
( ( ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(320,plain,
! [SV5: $i] :
( ( ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(321,plain,
! [SV5: $i] :
( ( ( p9 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( p10 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(322,plain,
! [SV5: $i] :
( ( ( ~ ( p9 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( p8 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(323,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK12_SY214 @ SV5 ) @ ( sK13_SY230 @ SV5 ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(324,plain,
! [SV5: $i] :
( ( ( ! [SY244: $i] :
( ~ ( r1 @ ( sK13_SY230 @ SV5 ) @ SY244 )
| ! [SX11: $i] :
( ~ ( r1 @ SY244 @ SX11 )
| ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SX11 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SX11: $i] :
( ~ ( r1 @ SY244 @ SX11 )
| ~ ( ~ ( ~ ( p10 @ SX11 )
| ~ ~ ( p9 @ SX11 ) )
| ~ ( ~ ~ ( p10 @ SX11 )
| ~ ( p9 @ SX11 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(325,plain,
! [SV5: $i] :
( ( ( ! [SY255: $i] :
( ~ ( r1 @ ( sK13_SY230 @ SV5 ) @ SY255 )
| ~ ( ~ ( ~ ( p9 @ SY255 )
| ~ ~ ( p8 @ SY255 ) )
| ~ ( ~ ~ ( p9 @ SY255 )
| ~ ( p8 @ SY255 ) ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(326,plain,
! [SV12: $i,SV5: $i] :
( ( ( r1 @ ( sK12_SY214 @ SV5 ) @ SV12 )
= $false )
| ( ( ~ ( ~ ( ~ ( p8 @ SV12 )
| ~ ~ ( p7 @ SV12 ) )
| ~ ( ~ ~ ( p8 @ SV12 )
| ~ ( p7 @ SV12 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(327,plain,
! [SV5: $i,SV11: $i] :
( ( ( ~ ( p7 @ SV11 )
| ~ ~ ( p6 @ SV11 ) )
= $true )
| ( ( r1 @ ( sK11_SY196 @ SV5 ) @ SV11 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(328,plain,
! [SV5: $i,SV11: $i] :
( ( ( ~ ~ ( p7 @ SV11 )
| ~ ( p6 @ SV11 ) )
= $true )
| ( ( r1 @ ( sK11_SY196 @ SV5 ) @ SV11 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(329,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( p5 @ SV10 ) )
= $false )
| ( ( p6 @ SV10 )
= $false )
| ( ( r1 @ ( sK10_SY176 @ SV5 ) @ SV10 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(330,plain,
! [SV5: $i,SV10: $i] :
( ( ( p6 @ SV10 )
= $true )
| ( ( ~ ( p5 @ SV10 ) )
= $true )
| ( ( r1 @ ( sK10_SY176 @ SV5 ) @ SV10 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(331,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(332,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(333,plain,
! [SV5: $i] :
( ( ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(334,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(335,plain,
! [SV5: $i] :
( ( ( p11 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(336,plain,
! [SV5: $i] :
( ( ( p9 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( ~ ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(337,plain,
! [SV5: $i] :
( ( ( p9 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( p8 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(338,plain,
! [SV5: $i] :
( ( ( r1 @ ( sK12_SY214 @ SV5 ) @ ( sK13_SY230 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(339,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK13_SY230 @ SV5 ) @ ( sK14_SY244 @ SV5 ) )
| ! [SY256: $i] :
( ~ ( r1 @ ( sK14_SY244 @ SV5 ) @ SY256 )
| ! [SX12: $i] :
( ~ ( r1 @ SY256 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SY256 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) )
| ~ ! [SY265: $i] :
( ~ ( r1 @ ( sK14_SY244 @ SV5 ) @ SY265 )
| ~ ( ~ ( ~ ( p10 @ SY265 )
| ~ ~ ( p9 @ SY265 ) )
| ~ ( ~ ~ ( p10 @ SY265 )
| ~ ( p9 @ SY265 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[324]) ).
thf(340,plain,
! [SV13: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK13_SY230 @ SV5 ) @ SV13 )
| ~ ( ~ ( ~ ( p9 @ SV13 )
| ~ ~ ( p8 @ SV13 ) )
| ~ ( ~ ~ ( p9 @ SV13 )
| ~ ( p8 @ SV13 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(341,plain,
! [SV5: $i,SV12: $i] :
( ( ( ~ ( ~ ( p8 @ SV12 )
| ~ ~ ( p7 @ SV12 ) )
| ~ ( ~ ~ ( p8 @ SV12 )
| ~ ( p7 @ SV12 ) ) )
= $false )
| ( ( r1 @ ( sK12_SY214 @ SV5 ) @ SV12 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(342,plain,
! [SV5: $i,SV11: $i] :
( ( ( ~ ( p7 @ SV11 ) )
= $true )
| ( ( ~ ~ ( p6 @ SV11 ) )
= $true )
| ( ( r1 @ ( sK11_SY196 @ SV5 ) @ SV11 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(343,plain,
! [SV5: $i,SV11: $i] :
( ( ( ~ ~ ( p7 @ SV11 ) )
= $true )
| ( ( ~ ( p6 @ SV11 ) )
= $true )
| ( ( r1 @ ( sK11_SY196 @ SV5 ) @ SV11 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(344,plain,
! [SV5: $i,SV10: $i] :
( ( ( p5 @ SV10 )
= $true )
| ( ( p6 @ SV10 )
= $false )
| ( ( r1 @ ( sK10_SY176 @ SV5 ) @ SV10 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(345,plain,
! [SV5: $i,SV10: $i] :
( ( ( p5 @ SV10 )
= $false )
| ( ( p6 @ SV10 )
= $true )
| ( ( r1 @ ( sK10_SY176 @ SV5 ) @ SV10 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(346,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(347,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(348,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(349,plain,
! [SV5: $i] :
( ( ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(350,plain,
! [SV5: $i] :
( ( ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(351,plain,
! [SV5: $i] :
( ( ( p10 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( p11 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(352,plain,
! [SV5: $i] :
( ( ( ~ ( p10 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( p9 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(353,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK13_SY230 @ SV5 ) @ ( sK14_SY244 @ SV5 ) )
| ! [SY256: $i] :
( ~ ( r1 @ ( sK14_SY244 @ SV5 ) @ SY256 )
| ! [SX12: $i] :
( ~ ( r1 @ SY256 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SY256 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(354,plain,
! [SV5: $i] :
( ( ( ~ ! [SY265: $i] :
( ~ ( r1 @ ( sK14_SY244 @ SV5 ) @ SY265 )
| ~ ( ~ ( ~ ( p10 @ SY265 )
| ~ ~ ( p9 @ SY265 ) )
| ~ ( ~ ~ ( p10 @ SY265 )
| ~ ( p9 @ SY265 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(355,plain,
! [SV13: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK13_SY230 @ SV5 ) @ SV13 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p9 @ SV13 )
| ~ ~ ( p8 @ SV13 ) )
| ~ ( ~ ~ ( p9 @ SV13 )
| ~ ( p8 @ SV13 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(356,plain,
! [SV5: $i,SV12: $i] :
( ( ( ~ ( ~ ( p8 @ SV12 )
| ~ ~ ( p7 @ SV12 ) ) )
= $false )
| ( ( r1 @ ( sK12_SY214 @ SV5 ) @ SV12 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(357,plain,
! [SV5: $i,SV12: $i] :
( ( ( ~ ( ~ ~ ( p8 @ SV12 )
| ~ ( p7 @ SV12 ) ) )
= $false )
| ( ( r1 @ ( sK12_SY214 @ SV5 ) @ SV12 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(358,plain,
! [SV5: $i,SV11: $i] :
( ( ( p7 @ SV11 )
= $false )
| ( ( ~ ~ ( p6 @ SV11 ) )
= $true )
| ( ( r1 @ ( sK11_SY196 @ SV5 ) @ SV11 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(359,plain,
! [SV5: $i,SV11: $i] :
( ( ( ~ ( p7 @ SV11 ) )
= $false )
| ( ( ~ ( p6 @ SV11 ) )
= $true )
| ( ( r1 @ ( sK11_SY196 @ SV5 ) @ SV11 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(360,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
| ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(361,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(362,plain,
! [SV5: $i] :
( ( ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(363,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(364,plain,
! [SV5: $i] :
( ( ( p12 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(365,plain,
! [SV5: $i] :
( ( ( p10 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( ~ ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(366,plain,
! [SV5: $i] :
( ( ( p10 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( p9 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(367,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK13_SY230 @ SV5 ) @ ( sK14_SY244 @ SV5 ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(368,plain,
! [SV5: $i] :
( ( ( ! [SY256: $i] :
( ~ ( r1 @ ( sK14_SY244 @ SV5 ) @ SY256 )
| ! [SX12: $i] :
( ~ ( r1 @ SY256 @ SX12 )
| ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SX12 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SX12: $i] :
( ~ ( r1 @ SY256 @ SX12 )
| ~ ( ~ ( ~ ( p11 @ SX12 )
| ~ ~ ( p10 @ SX12 ) )
| ~ ( ~ ~ ( p11 @ SX12 )
| ~ ( p10 @ SX12 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(369,plain,
! [SV5: $i] :
( ( ( ! [SY265: $i] :
( ~ ( r1 @ ( sK14_SY244 @ SV5 ) @ SY265 )
| ~ ( ~ ( ~ ( p10 @ SY265 )
| ~ ~ ( p9 @ SY265 ) )
| ~ ( ~ ~ ( p10 @ SY265 )
| ~ ( p9 @ SY265 ) ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(370,plain,
! [SV13: $i,SV5: $i] :
( ( ( r1 @ ( sK13_SY230 @ SV5 ) @ SV13 )
= $false )
| ( ( ~ ( ~ ( ~ ( p9 @ SV13 )
| ~ ~ ( p8 @ SV13 ) )
| ~ ( ~ ~ ( p9 @ SV13 )
| ~ ( p8 @ SV13 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(371,plain,
! [SV5: $i,SV12: $i] :
( ( ( ~ ( p8 @ SV12 )
| ~ ~ ( p7 @ SV12 ) )
= $true )
| ( ( r1 @ ( sK12_SY214 @ SV5 ) @ SV12 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(372,plain,
! [SV5: $i,SV12: $i] :
( ( ( ~ ~ ( p8 @ SV12 )
| ~ ( p7 @ SV12 ) )
= $true )
| ( ( r1 @ ( sK12_SY214 @ SV5 ) @ SV12 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(373,plain,
! [SV5: $i,SV11: $i] :
( ( ( ~ ( p6 @ SV11 ) )
= $false )
| ( ( p7 @ SV11 )
= $false )
| ( ( r1 @ ( sK11_SY196 @ SV5 ) @ SV11 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(374,plain,
! [SV5: $i,SV11: $i] :
( ( ( p7 @ SV11 )
= $true )
| ( ( ~ ( p6 @ SV11 ) )
= $true )
| ( ( r1 @ ( sK11_SY196 @ SV5 ) @ SV11 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(375,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
| ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(376,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(377,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(378,plain,
! [SV5: $i] :
( ( ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(379,plain,
! [SV5: $i] :
( ( ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(380,plain,
! [SV5: $i] :
( ( ( p11 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( p12 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(381,plain,
! [SV5: $i] :
( ( ( ~ ( p11 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( p10 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(382,plain,
! [SV5: $i] :
( ( ( r1 @ ( sK13_SY230 @ SV5 ) @ ( sK14_SY244 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(383,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK14_SY244 @ SV5 ) @ ( sK15_SY256 @ SV5 ) )
| ! [SY266: $i] :
( ~ ( r1 @ ( sK15_SY256 @ SV5 ) @ SY266 )
| ! [SX13: $i] :
( ~ ( r1 @ SY266 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SY266 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) )
| ~ ! [SY273: $i] :
( ~ ( r1 @ ( sK15_SY256 @ SV5 ) @ SY273 )
| ~ ( ~ ( ~ ( p11 @ SY273 )
| ~ ~ ( p10 @ SY273 ) )
| ~ ( ~ ~ ( p11 @ SY273 )
| ~ ( p10 @ SY273 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[368]) ).
thf(384,plain,
! [SV14: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK14_SY244 @ SV5 ) @ SV14 )
| ~ ( ~ ( ~ ( p10 @ SV14 )
| ~ ~ ( p9 @ SV14 ) )
| ~ ( ~ ~ ( p10 @ SV14 )
| ~ ( p9 @ SV14 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(385,plain,
! [SV5: $i,SV13: $i] :
( ( ( ~ ( ~ ( p9 @ SV13 )
| ~ ~ ( p8 @ SV13 ) )
| ~ ( ~ ~ ( p9 @ SV13 )
| ~ ( p8 @ SV13 ) ) )
= $false )
| ( ( r1 @ ( sK13_SY230 @ SV5 ) @ SV13 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(386,plain,
! [SV5: $i,SV12: $i] :
( ( ( ~ ( p8 @ SV12 ) )
= $true )
| ( ( ~ ~ ( p7 @ SV12 ) )
= $true )
| ( ( r1 @ ( sK12_SY214 @ SV5 ) @ SV12 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(387,plain,
! [SV5: $i,SV12: $i] :
( ( ( ~ ~ ( p8 @ SV12 ) )
= $true )
| ( ( ~ ( p7 @ SV12 ) )
= $true )
| ( ( r1 @ ( sK12_SY214 @ SV5 ) @ SV12 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(388,plain,
! [SV5: $i,SV11: $i] :
( ( ( p6 @ SV11 )
= $true )
| ( ( p7 @ SV11 )
= $false )
| ( ( r1 @ ( sK11_SY196 @ SV5 ) @ SV11 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(389,plain,
! [SV5: $i,SV11: $i] :
( ( ( p6 @ SV11 )
= $false )
| ( ( p7 @ SV11 )
= $true )
| ( ( r1 @ ( sK11_SY196 @ SV5 ) @ SV11 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(390,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(391,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(392,plain,
! [SV5: $i] :
( ( ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) )
| ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(393,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(394,plain,
! [SV5: $i] :
( ( ( p13 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(395,plain,
! [SV5: $i] :
( ( ( p11 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( ~ ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(396,plain,
! [SV5: $i] :
( ( ( p11 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( p10 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(397,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK14_SY244 @ SV5 ) @ ( sK15_SY256 @ SV5 ) )
| ! [SY266: $i] :
( ~ ( r1 @ ( sK15_SY256 @ SV5 ) @ SY266 )
| ! [SX13: $i] :
( ~ ( r1 @ SY266 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SY266 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(398,plain,
! [SV5: $i] :
( ( ( ~ ! [SY273: $i] :
( ~ ( r1 @ ( sK15_SY256 @ SV5 ) @ SY273 )
| ~ ( ~ ( ~ ( p11 @ SY273 )
| ~ ~ ( p10 @ SY273 ) )
| ~ ( ~ ~ ( p11 @ SY273 )
| ~ ( p10 @ SY273 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(399,plain,
! [SV14: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK14_SY244 @ SV5 ) @ SV14 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p10 @ SV14 )
| ~ ~ ( p9 @ SV14 ) )
| ~ ( ~ ~ ( p10 @ SV14 )
| ~ ( p9 @ SV14 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[384]) ).
thf(400,plain,
! [SV5: $i,SV13: $i] :
( ( ( ~ ( ~ ( p9 @ SV13 )
| ~ ~ ( p8 @ SV13 ) ) )
= $false )
| ( ( r1 @ ( sK13_SY230 @ SV5 ) @ SV13 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[385]) ).
thf(401,plain,
! [SV5: $i,SV13: $i] :
( ( ( ~ ( ~ ~ ( p9 @ SV13 )
| ~ ( p8 @ SV13 ) ) )
= $false )
| ( ( r1 @ ( sK13_SY230 @ SV5 ) @ SV13 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[385]) ).
thf(402,plain,
! [SV5: $i,SV12: $i] :
( ( ( p8 @ SV12 )
= $false )
| ( ( ~ ~ ( p7 @ SV12 ) )
= $true )
| ( ( r1 @ ( sK12_SY214 @ SV5 ) @ SV12 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(403,plain,
! [SV5: $i,SV12: $i] :
( ( ( ~ ( p8 @ SV12 ) )
= $false )
| ( ( ~ ( p7 @ SV12 ) )
= $true )
| ( ( r1 @ ( sK12_SY214 @ SV5 ) @ SV12 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(404,plain,
! [SV5: $i] :
( ( ( r1 @ SV5 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[390]) ).
thf(405,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) )
| ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[391]) ).
thf(406,plain,
! [SV5: $i] :
( ( ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(407,plain,
! [SV5: $i] :
( ( ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(408,plain,
! [SV5: $i] :
( ( ( p12 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( p13 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(409,plain,
! [SV5: $i] :
( ( ( ~ ( p12 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( p11 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(410,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK14_SY244 @ SV5 ) @ ( sK15_SY256 @ SV5 ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[397]) ).
thf(411,plain,
! [SV5: $i] :
( ( ( ! [SY266: $i] :
( ~ ( r1 @ ( sK15_SY256 @ SV5 ) @ SY266 )
| ! [SX13: $i] :
( ~ ( r1 @ SY266 @ SX13 )
| ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SX13 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SX13: $i] :
( ~ ( r1 @ SY266 @ SX13 )
| ~ ( ~ ( ~ ( p12 @ SX13 )
| ~ ~ ( p11 @ SX13 ) )
| ~ ( ~ ~ ( p12 @ SX13 )
| ~ ( p11 @ SX13 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[397]) ).
thf(412,plain,
! [SV5: $i] :
( ( ( ! [SY273: $i] :
( ~ ( r1 @ ( sK15_SY256 @ SV5 ) @ SY273 )
| ~ ( ~ ( ~ ( p11 @ SY273 )
| ~ ~ ( p10 @ SY273 ) )
| ~ ( ~ ~ ( p11 @ SY273 )
| ~ ( p10 @ SY273 ) ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(413,plain,
! [SV14: $i,SV5: $i] :
( ( ( r1 @ ( sK14_SY244 @ SV5 ) @ SV14 )
= $false )
| ( ( ~ ( ~ ( ~ ( p10 @ SV14 )
| ~ ~ ( p9 @ SV14 ) )
| ~ ( ~ ~ ( p10 @ SV14 )
| ~ ( p9 @ SV14 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(414,plain,
! [SV5: $i,SV13: $i] :
( ( ( ~ ( p9 @ SV13 )
| ~ ~ ( p8 @ SV13 ) )
= $true )
| ( ( r1 @ ( sK13_SY230 @ SV5 ) @ SV13 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(415,plain,
! [SV5: $i,SV13: $i] :
( ( ( ~ ~ ( p9 @ SV13 )
| ~ ( p8 @ SV13 ) )
= $true )
| ( ( r1 @ ( sK13_SY230 @ SV5 ) @ SV13 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(416,plain,
! [SV5: $i,SV12: $i] :
( ( ( ~ ( p7 @ SV12 ) )
= $false )
| ( ( p8 @ SV12 )
= $false )
| ( ( r1 @ ( sK12_SY214 @ SV5 ) @ SV12 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(417,plain,
! [SV5: $i,SV12: $i] :
( ( ( p8 @ SV12 )
= $true )
| ( ( ~ ( p7 @ SV12 ) )
= $true )
| ( ( r1 @ ( sK12_SY214 @ SV5 ) @ SV12 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(418,plain,
! [SV5: $i] :
( ( ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(419,plain,
! [SV5: $i] :
( ( ( p14 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(420,plain,
! [SV5: $i] :
( ( ( p12 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( ~ ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(421,plain,
! [SV5: $i] :
( ( ( p12 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( p11 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[409]) ).
thf(422,plain,
! [SV5: $i] :
( ( ( r1 @ ( sK14_SY244 @ SV5 ) @ ( sK15_SY256 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(423,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK15_SY256 @ SV5 ) @ ( sK16_SY266 @ SV5 ) )
| ! [SY274: $i] :
( ~ ( r1 @ ( sK16_SY266 @ SV5 ) @ SY274 )
| ! [SX14: $i] :
( ~ ( r1 @ SY274 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SY274 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) )
| ~ ! [SY279: $i] :
( ~ ( r1 @ ( sK16_SY266 @ SV5 ) @ SY279 )
| ~ ( ~ ( ~ ( p12 @ SY279 )
| ~ ~ ( p11 @ SY279 ) )
| ~ ( ~ ~ ( p12 @ SY279 )
| ~ ( p11 @ SY279 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[411]) ).
thf(424,plain,
! [SV15: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK15_SY256 @ SV5 ) @ SV15 )
| ~ ( ~ ( ~ ( p11 @ SV15 )
| ~ ~ ( p10 @ SV15 ) )
| ~ ( ~ ~ ( p11 @ SV15 )
| ~ ( p10 @ SV15 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(425,plain,
! [SV5: $i,SV14: $i] :
( ( ( ~ ( ~ ( p10 @ SV14 )
| ~ ~ ( p9 @ SV14 ) )
| ~ ( ~ ~ ( p10 @ SV14 )
| ~ ( p9 @ SV14 ) ) )
= $false )
| ( ( r1 @ ( sK14_SY244 @ SV5 ) @ SV14 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(426,plain,
! [SV5: $i,SV13: $i] :
( ( ( ~ ( p9 @ SV13 ) )
= $true )
| ( ( ~ ~ ( p8 @ SV13 ) )
= $true )
| ( ( r1 @ ( sK13_SY230 @ SV5 ) @ SV13 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(427,plain,
! [SV5: $i,SV13: $i] :
( ( ( ~ ~ ( p9 @ SV13 ) )
= $true )
| ( ( ~ ( p8 @ SV13 ) )
= $true )
| ( ( r1 @ ( sK13_SY230 @ SV5 ) @ SV13 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(428,plain,
! [SV5: $i,SV12: $i] :
( ( ( p7 @ SV12 )
= $true )
| ( ( p8 @ SV12 )
= $false )
| ( ( r1 @ ( sK12_SY214 @ SV5 ) @ SV12 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(429,plain,
! [SV5: $i,SV12: $i] :
( ( ( p7 @ SV12 )
= $false )
| ( ( p8 @ SV12 )
= $true )
| ( ( r1 @ ( sK12_SY214 @ SV5 ) @ SV12 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(430,plain,
! [SV5: $i] :
( ( ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(431,plain,
! [SV5: $i] :
( ( ( p13 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( p14 @ ( sK5_SY129 @ SV5 ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(432,plain,
! [SV5: $i] :
( ( ( ~ ( p13 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( p12 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(433,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK15_SY256 @ SV5 ) @ ( sK16_SY266 @ SV5 ) )
| ! [SY274: $i] :
( ~ ( r1 @ ( sK16_SY266 @ SV5 ) @ SY274 )
| ! [SX14: $i] :
( ~ ( r1 @ SY274 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SY274 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(434,plain,
! [SV5: $i] :
( ( ( ~ ! [SY279: $i] :
( ~ ( r1 @ ( sK16_SY266 @ SV5 ) @ SY279 )
| ~ ( ~ ( ~ ( p12 @ SY279 )
| ~ ~ ( p11 @ SY279 ) )
| ~ ( ~ ~ ( p12 @ SY279 )
| ~ ( p11 @ SY279 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(435,plain,
! [SV15: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK15_SY256 @ SV5 ) @ SV15 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p11 @ SV15 )
| ~ ~ ( p10 @ SV15 ) )
| ~ ( ~ ~ ( p11 @ SV15 )
| ~ ( p10 @ SV15 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(436,plain,
! [SV5: $i,SV14: $i] :
( ( ( ~ ( ~ ( p10 @ SV14 )
| ~ ~ ( p9 @ SV14 ) ) )
= $false )
| ( ( r1 @ ( sK14_SY244 @ SV5 ) @ SV14 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(437,plain,
! [SV5: $i,SV14: $i] :
( ( ( ~ ( ~ ~ ( p10 @ SV14 )
| ~ ( p9 @ SV14 ) ) )
= $false )
| ( ( r1 @ ( sK14_SY244 @ SV5 ) @ SV14 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(438,plain,
! [SV5: $i,SV13: $i] :
( ( ( p9 @ SV13 )
= $false )
| ( ( ~ ~ ( p8 @ SV13 ) )
= $true )
| ( ( r1 @ ( sK13_SY230 @ SV5 ) @ SV13 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(439,plain,
! [SV5: $i,SV13: $i] :
( ( ( ~ ( p9 @ SV13 ) )
= $false )
| ( ( ~ ( p8 @ SV13 ) )
= $true )
| ( ( r1 @ ( sK13_SY230 @ SV5 ) @ SV13 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(440,plain,
! [SV5: $i] :
( ( ( p13 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( ~ ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(441,plain,
! [SV5: $i] :
( ( ( p13 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( p12 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[432]) ).
thf(442,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK15_SY256 @ SV5 ) @ ( sK16_SY266 @ SV5 ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[433]) ).
thf(443,plain,
! [SV5: $i] :
( ( ( ! [SY274: $i] :
( ~ ( r1 @ ( sK16_SY266 @ SV5 ) @ SY274 )
| ! [SX14: $i] :
( ~ ( r1 @ SY274 @ SX14 )
| ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SX14 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SX14: $i] :
( ~ ( r1 @ SY274 @ SX14 )
| ~ ( ~ ( ~ ( p13 @ SX14 )
| ~ ~ ( p12 @ SX14 ) )
| ~ ( ~ ~ ( p13 @ SX14 )
| ~ ( p12 @ SX14 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[433]) ).
thf(444,plain,
! [SV5: $i] :
( ( ( ! [SY279: $i] :
( ~ ( r1 @ ( sK16_SY266 @ SV5 ) @ SY279 )
| ~ ( ~ ( ~ ( p12 @ SY279 )
| ~ ~ ( p11 @ SY279 ) )
| ~ ( ~ ~ ( p12 @ SY279 )
| ~ ( p11 @ SY279 ) ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(445,plain,
! [SV15: $i,SV5: $i] :
( ( ( r1 @ ( sK15_SY256 @ SV5 ) @ SV15 )
= $false )
| ( ( ~ ( ~ ( ~ ( p11 @ SV15 )
| ~ ~ ( p10 @ SV15 ) )
| ~ ( ~ ~ ( p11 @ SV15 )
| ~ ( p10 @ SV15 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(446,plain,
! [SV5: $i,SV14: $i] :
( ( ( ~ ( p10 @ SV14 )
| ~ ~ ( p9 @ SV14 ) )
= $true )
| ( ( r1 @ ( sK14_SY244 @ SV5 ) @ SV14 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[436]) ).
thf(447,plain,
! [SV5: $i,SV14: $i] :
( ( ( ~ ~ ( p10 @ SV14 )
| ~ ( p9 @ SV14 ) )
= $true )
| ( ( r1 @ ( sK14_SY244 @ SV5 ) @ SV14 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(448,plain,
! [SV5: $i,SV13: $i] :
( ( ( ~ ( p8 @ SV13 ) )
= $false )
| ( ( p9 @ SV13 )
= $false )
| ( ( r1 @ ( sK13_SY230 @ SV5 ) @ SV13 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(449,plain,
! [SV5: $i,SV13: $i] :
( ( ( p9 @ SV13 )
= $true )
| ( ( ~ ( p8 @ SV13 ) )
= $true )
| ( ( r1 @ ( sK13_SY230 @ SV5 ) @ SV13 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(450,plain,
! [SV5: $i] :
( ( ( ~ ( p14 @ ( sK5_SY129 @ SV5 ) ) )
= $false )
| ( ( p13 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(451,plain,
! [SV5: $i] :
( ( ( r1 @ ( sK15_SY256 @ SV5 ) @ ( sK16_SY266 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[442]) ).
thf(452,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK16_SY266 @ SV5 ) @ ( sK17_SY274 @ SV5 ) )
| ! [SY280: $i] :
( ~ ( r1 @ ( sK17_SY274 @ SV5 ) @ SY280 )
| ! [SX15: $i] :
( ~ ( r1 @ SY280 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SY280 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) )
| ~ ! [SY283: $i] :
( ~ ( r1 @ ( sK17_SY274 @ SV5 ) @ SY283 )
| ~ ( ~ ( ~ ( p13 @ SY283 )
| ~ ~ ( p12 @ SY283 ) )
| ~ ( ~ ~ ( p13 @ SY283 )
| ~ ( p12 @ SY283 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[443]) ).
thf(453,plain,
! [SV16: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK16_SY266 @ SV5 ) @ SV16 )
| ~ ( ~ ( ~ ( p12 @ SV16 )
| ~ ~ ( p11 @ SV16 ) )
| ~ ( ~ ~ ( p12 @ SV16 )
| ~ ( p11 @ SV16 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(454,plain,
! [SV5: $i,SV15: $i] :
( ( ( ~ ( ~ ( p11 @ SV15 )
| ~ ~ ( p10 @ SV15 ) )
| ~ ( ~ ~ ( p11 @ SV15 )
| ~ ( p10 @ SV15 ) ) )
= $false )
| ( ( r1 @ ( sK15_SY256 @ SV5 ) @ SV15 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(455,plain,
! [SV5: $i,SV14: $i] :
( ( ( ~ ( p10 @ SV14 ) )
= $true )
| ( ( ~ ~ ( p9 @ SV14 ) )
= $true )
| ( ( r1 @ ( sK14_SY244 @ SV5 ) @ SV14 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(456,plain,
! [SV5: $i,SV14: $i] :
( ( ( ~ ~ ( p10 @ SV14 ) )
= $true )
| ( ( ~ ( p9 @ SV14 ) )
= $true )
| ( ( r1 @ ( sK14_SY244 @ SV5 ) @ SV14 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(457,plain,
! [SV5: $i,SV13: $i] :
( ( ( p8 @ SV13 )
= $true )
| ( ( p9 @ SV13 )
= $false )
| ( ( r1 @ ( sK13_SY230 @ SV5 ) @ SV13 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(458,plain,
! [SV5: $i,SV13: $i] :
( ( ( p8 @ SV13 )
= $false )
| ( ( p9 @ SV13 )
= $true )
| ( ( r1 @ ( sK13_SY230 @ SV5 ) @ SV13 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(459,plain,
! [SV5: $i] :
( ( ( p14 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( p13 @ ( sK5_SY129 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(460,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK16_SY266 @ SV5 ) @ ( sK17_SY274 @ SV5 ) )
| ! [SY280: $i] :
( ~ ( r1 @ ( sK17_SY274 @ SV5 ) @ SY280 )
| ! [SX15: $i] :
( ~ ( r1 @ SY280 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SY280 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(461,plain,
! [SV5: $i] :
( ( ( ~ ! [SY283: $i] :
( ~ ( r1 @ ( sK17_SY274 @ SV5 ) @ SY283 )
| ~ ( ~ ( ~ ( p13 @ SY283 )
| ~ ~ ( p12 @ SY283 ) )
| ~ ( ~ ~ ( p13 @ SY283 )
| ~ ( p12 @ SY283 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(462,plain,
! [SV16: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK16_SY266 @ SV5 ) @ SV16 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p12 @ SV16 )
| ~ ~ ( p11 @ SV16 ) )
| ~ ( ~ ~ ( p12 @ SV16 )
| ~ ( p11 @ SV16 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[453]) ).
thf(463,plain,
! [SV5: $i,SV15: $i] :
( ( ( ~ ( ~ ( p11 @ SV15 )
| ~ ~ ( p10 @ SV15 ) ) )
= $false )
| ( ( r1 @ ( sK15_SY256 @ SV5 ) @ SV15 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[454]) ).
thf(464,plain,
! [SV5: $i,SV15: $i] :
( ( ( ~ ( ~ ~ ( p11 @ SV15 )
| ~ ( p10 @ SV15 ) ) )
= $false )
| ( ( r1 @ ( sK15_SY256 @ SV5 ) @ SV15 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[454]) ).
thf(465,plain,
! [SV5: $i,SV14: $i] :
( ( ( p10 @ SV14 )
= $false )
| ( ( ~ ~ ( p9 @ SV14 ) )
= $true )
| ( ( r1 @ ( sK14_SY244 @ SV5 ) @ SV14 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(466,plain,
! [SV5: $i,SV14: $i] :
( ( ( ~ ( p10 @ SV14 ) )
= $false )
| ( ( ~ ( p9 @ SV14 ) )
= $true )
| ( ( r1 @ ( sK14_SY244 @ SV5 ) @ SV14 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(467,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK16_SY266 @ SV5 ) @ ( sK17_SY274 @ SV5 ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(468,plain,
! [SV5: $i] :
( ( ( ! [SY280: $i] :
( ~ ( r1 @ ( sK17_SY274 @ SV5 ) @ SY280 )
| ! [SX15: $i] :
( ~ ( r1 @ SY280 @ SX15 )
| $false )
| ~ ! [SX15: $i] :
( ~ ( r1 @ SY280 @ SX15 )
| ~ ( ~ ( ~ ( p14 @ SX15 )
| ~ ~ ( p13 @ SX15 ) )
| ~ ( ~ ~ ( p14 @ SX15 )
| ~ ( p13 @ SX15 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(469,plain,
! [SV5: $i] :
( ( ( ! [SY283: $i] :
( ~ ( r1 @ ( sK17_SY274 @ SV5 ) @ SY283 )
| ~ ( ~ ( ~ ( p13 @ SY283 )
| ~ ~ ( p12 @ SY283 ) )
| ~ ( ~ ~ ( p13 @ SY283 )
| ~ ( p12 @ SY283 ) ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(470,plain,
! [SV16: $i,SV5: $i] :
( ( ( r1 @ ( sK16_SY266 @ SV5 ) @ SV16 )
= $false )
| ( ( ~ ( ~ ( ~ ( p12 @ SV16 )
| ~ ~ ( p11 @ SV16 ) )
| ~ ( ~ ~ ( p12 @ SV16 )
| ~ ( p11 @ SV16 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(471,plain,
! [SV5: $i,SV15: $i] :
( ( ( ~ ( p11 @ SV15 )
| ~ ~ ( p10 @ SV15 ) )
= $true )
| ( ( r1 @ ( sK15_SY256 @ SV5 ) @ SV15 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[463]) ).
thf(472,plain,
! [SV5: $i,SV15: $i] :
( ( ( ~ ~ ( p11 @ SV15 )
| ~ ( p10 @ SV15 ) )
= $true )
| ( ( r1 @ ( sK15_SY256 @ SV5 ) @ SV15 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(473,plain,
! [SV5: $i,SV14: $i] :
( ( ( ~ ( p9 @ SV14 ) )
= $false )
| ( ( p10 @ SV14 )
= $false )
| ( ( r1 @ ( sK14_SY244 @ SV5 ) @ SV14 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(474,plain,
! [SV5: $i,SV14: $i] :
( ( ( p10 @ SV14 )
= $true )
| ( ( ~ ( p9 @ SV14 ) )
= $true )
| ( ( r1 @ ( sK14_SY244 @ SV5 ) @ SV14 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[466]) ).
thf(475,plain,
! [SV5: $i] :
( ( ( r1 @ ( sK16_SY266 @ SV5 ) @ ( sK17_SY274 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(476,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK17_SY274 @ SV5 ) @ ( sK18_SY280 @ SV5 ) )
| ! [SY284: $i] :
( ~ ( r1 @ ( sK18_SY280 @ SV5 ) @ SY284 )
| $false )
| ~ ! [SY285: $i] :
( ~ ( r1 @ ( sK18_SY280 @ SV5 ) @ SY285 )
| ~ ( ~ ( ~ ( p14 @ SY285 )
| ~ ~ ( p13 @ SY285 ) )
| ~ ( ~ ~ ( p14 @ SY285 )
| ~ ( p13 @ SY285 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[468]) ).
thf(477,plain,
! [SV17: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK17_SY274 @ SV5 ) @ SV17 )
| ~ ( ~ ( ~ ( p13 @ SV17 )
| ~ ~ ( p12 @ SV17 ) )
| ~ ( ~ ~ ( p13 @ SV17 )
| ~ ( p12 @ SV17 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(478,plain,
! [SV5: $i,SV16: $i] :
( ( ( ~ ( ~ ( p12 @ SV16 )
| ~ ~ ( p11 @ SV16 ) )
| ~ ( ~ ~ ( p12 @ SV16 )
| ~ ( p11 @ SV16 ) ) )
= $false )
| ( ( r1 @ ( sK16_SY266 @ SV5 ) @ SV16 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(479,plain,
! [SV5: $i,SV15: $i] :
( ( ( ~ ( p11 @ SV15 ) )
= $true )
| ( ( ~ ~ ( p10 @ SV15 ) )
= $true )
| ( ( r1 @ ( sK15_SY256 @ SV5 ) @ SV15 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(480,plain,
! [SV5: $i,SV15: $i] :
( ( ( ~ ~ ( p11 @ SV15 ) )
= $true )
| ( ( ~ ( p10 @ SV15 ) )
= $true )
| ( ( r1 @ ( sK15_SY256 @ SV5 ) @ SV15 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(481,plain,
! [SV5: $i,SV14: $i] :
( ( ( p9 @ SV14 )
= $true )
| ( ( p10 @ SV14 )
= $false )
| ( ( r1 @ ( sK14_SY244 @ SV5 ) @ SV14 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(482,plain,
! [SV5: $i,SV14: $i] :
( ( ( p9 @ SV14 )
= $false )
| ( ( p10 @ SV14 )
= $true )
| ( ( r1 @ ( sK14_SY244 @ SV5 ) @ SV14 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(483,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK17_SY274 @ SV5 ) @ ( sK18_SY280 @ SV5 ) )
| ! [SY284: $i] :
( ~ ( r1 @ ( sK18_SY280 @ SV5 ) @ SY284 )
| $false ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(484,plain,
! [SV5: $i] :
( ( ( ~ ! [SY285: $i] :
( ~ ( r1 @ ( sK18_SY280 @ SV5 ) @ SY285 )
| ~ ( ~ ( ~ ( p14 @ SY285 )
| ~ ~ ( p13 @ SY285 ) )
| ~ ( ~ ~ ( p14 @ SY285 )
| ~ ( p13 @ SY285 ) ) ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(485,plain,
! [SV17: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK17_SY274 @ SV5 ) @ SV17 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p13 @ SV17 )
| ~ ~ ( p12 @ SV17 ) )
| ~ ( ~ ~ ( p13 @ SV17 )
| ~ ( p12 @ SV17 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(486,plain,
! [SV5: $i,SV16: $i] :
( ( ( ~ ( ~ ( p12 @ SV16 )
| ~ ~ ( p11 @ SV16 ) ) )
= $false )
| ( ( r1 @ ( sK16_SY266 @ SV5 ) @ SV16 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(487,plain,
! [SV5: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( p12 @ SV16 )
| ~ ( p11 @ SV16 ) ) )
= $false )
| ( ( r1 @ ( sK16_SY266 @ SV5 ) @ SV16 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(488,plain,
! [SV5: $i,SV15: $i] :
( ( ( p11 @ SV15 )
= $false )
| ( ( ~ ~ ( p10 @ SV15 ) )
= $true )
| ( ( r1 @ ( sK15_SY256 @ SV5 ) @ SV15 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(489,plain,
! [SV5: $i,SV15: $i] :
( ( ( ~ ( p11 @ SV15 ) )
= $false )
| ( ( ~ ( p10 @ SV15 ) )
= $true )
| ( ( r1 @ ( sK15_SY256 @ SV5 ) @ SV15 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(490,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK17_SY274 @ SV5 ) @ ( sK18_SY280 @ SV5 ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[483]) ).
thf(491,plain,
! [SV5: $i] :
( ( ( ! [SY284: $i] :
( ~ ( r1 @ ( sK18_SY280 @ SV5 ) @ SY284 )
| $false ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[483]) ).
thf(492,plain,
! [SV5: $i] :
( ( ( ! [SY285: $i] :
( ~ ( r1 @ ( sK18_SY280 @ SV5 ) @ SY285 )
| ~ ( ~ ( ~ ( p14 @ SY285 )
| ~ ~ ( p13 @ SY285 ) )
| ~ ( ~ ~ ( p14 @ SY285 )
| ~ ( p13 @ SY285 ) ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[484]) ).
thf(493,plain,
! [SV17: $i,SV5: $i] :
( ( ( r1 @ ( sK17_SY274 @ SV5 ) @ SV17 )
= $false )
| ( ( ~ ( ~ ( ~ ( p13 @ SV17 )
| ~ ~ ( p12 @ SV17 ) )
| ~ ( ~ ~ ( p13 @ SV17 )
| ~ ( p12 @ SV17 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(494,plain,
! [SV5: $i,SV16: $i] :
( ( ( ~ ( p12 @ SV16 )
| ~ ~ ( p11 @ SV16 ) )
= $true )
| ( ( r1 @ ( sK16_SY266 @ SV5 ) @ SV16 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[486]) ).
thf(495,plain,
! [SV5: $i,SV16: $i] :
( ( ( ~ ~ ( p12 @ SV16 )
| ~ ( p11 @ SV16 ) )
= $true )
| ( ( r1 @ ( sK16_SY266 @ SV5 ) @ SV16 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(496,plain,
! [SV5: $i,SV15: $i] :
( ( ( ~ ( p10 @ SV15 ) )
= $false )
| ( ( p11 @ SV15 )
= $false )
| ( ( r1 @ ( sK15_SY256 @ SV5 ) @ SV15 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(497,plain,
! [SV5: $i,SV15: $i] :
( ( ( p11 @ SV15 )
= $true )
| ( ( ~ ( p10 @ SV15 ) )
= $true )
| ( ( r1 @ ( sK15_SY256 @ SV5 ) @ SV15 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[489]) ).
thf(498,plain,
! [SV5: $i] :
( ( ( r1 @ ( sK17_SY274 @ SV5 ) @ ( sK18_SY280 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(499,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK18_SY280 @ SV5 ) @ ( sK19_SY284 @ SV5 ) )
| $false )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[491]) ).
thf(500,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK18_SY280 @ SV5 ) @ SV18 )
| ~ ( ~ ( ~ ( p14 @ SV18 )
| ~ ~ ( p13 @ SV18 ) )
| ~ ( ~ ~ ( p14 @ SV18 )
| ~ ( p13 @ SV18 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(501,plain,
! [SV5: $i,SV17: $i] :
( ( ( ~ ( ~ ( p13 @ SV17 )
| ~ ~ ( p12 @ SV17 ) )
| ~ ( ~ ~ ( p13 @ SV17 )
| ~ ( p12 @ SV17 ) ) )
= $false )
| ( ( r1 @ ( sK17_SY274 @ SV5 ) @ SV17 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(502,plain,
! [SV5: $i,SV16: $i] :
( ( ( ~ ( p12 @ SV16 ) )
= $true )
| ( ( ~ ~ ( p11 @ SV16 ) )
= $true )
| ( ( r1 @ ( sK16_SY266 @ SV5 ) @ SV16 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(503,plain,
! [SV5: $i,SV16: $i] :
( ( ( ~ ~ ( p12 @ SV16 ) )
= $true )
| ( ( ~ ( p11 @ SV16 ) )
= $true )
| ( ( r1 @ ( sK16_SY266 @ SV5 ) @ SV16 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(504,plain,
! [SV5: $i,SV15: $i] :
( ( ( p10 @ SV15 )
= $true )
| ( ( p11 @ SV15 )
= $false )
| ( ( r1 @ ( sK15_SY256 @ SV5 ) @ SV15 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(505,plain,
! [SV5: $i,SV15: $i] :
( ( ( p10 @ SV15 )
= $false )
| ( ( p11 @ SV15 )
= $true )
| ( ( r1 @ ( sK15_SY256 @ SV5 ) @ SV15 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(506,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ ( sK18_SY280 @ SV5 ) @ ( sK19_SY284 @ SV5 ) ) )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[499]) ).
thf(507,plain,
! [SV5: $i] :
( ( $false = $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[499]) ).
thf(508,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ( r1 @ ( sK18_SY280 @ SV5 ) @ SV18 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p14 @ SV18 )
| ~ ~ ( p13 @ SV18 ) )
| ~ ( ~ ~ ( p14 @ SV18 )
| ~ ( p13 @ SV18 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(509,plain,
! [SV5: $i,SV17: $i] :
( ( ( ~ ( ~ ( p13 @ SV17 )
| ~ ~ ( p12 @ SV17 ) ) )
= $false )
| ( ( r1 @ ( sK17_SY274 @ SV5 ) @ SV17 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(510,plain,
! [SV5: $i,SV17: $i] :
( ( ( ~ ( ~ ~ ( p13 @ SV17 )
| ~ ( p12 @ SV17 ) ) )
= $false )
| ( ( r1 @ ( sK17_SY274 @ SV5 ) @ SV17 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(511,plain,
! [SV5: $i,SV16: $i] :
( ( ( p12 @ SV16 )
= $false )
| ( ( ~ ~ ( p11 @ SV16 ) )
= $true )
| ( ( r1 @ ( sK16_SY266 @ SV5 ) @ SV16 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(512,plain,
! [SV5: $i,SV16: $i] :
( ( ( ~ ( p12 @ SV16 ) )
= $false )
| ( ( ~ ( p11 @ SV16 ) )
= $true )
| ( ( r1 @ ( sK16_SY266 @ SV5 ) @ SV16 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(513,plain,
! [SV5: $i] :
( ( ( r1 @ ( sK18_SY280 @ SV5 ) @ ( sK19_SY284 @ SV5 ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[506]) ).
thf(514,plain,
! [SV18: $i,SV5: $i] :
( ( ( r1 @ ( sK18_SY280 @ SV5 ) @ SV18 )
= $false )
| ( ( ~ ( ~ ( ~ ( p14 @ SV18 )
| ~ ~ ( p13 @ SV18 ) )
| ~ ( ~ ~ ( p14 @ SV18 )
| ~ ( p13 @ SV18 ) ) ) )
= $true )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(515,plain,
! [SV5: $i,SV17: $i] :
( ( ( ~ ( p13 @ SV17 )
| ~ ~ ( p12 @ SV17 ) )
= $true )
| ( ( r1 @ ( sK17_SY274 @ SV5 ) @ SV17 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(516,plain,
! [SV5: $i,SV17: $i] :
( ( ( ~ ~ ( p13 @ SV17 )
| ~ ( p12 @ SV17 ) )
= $true )
| ( ( r1 @ ( sK17_SY274 @ SV5 ) @ SV17 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(517,plain,
! [SV5: $i,SV16: $i] :
( ( ( ~ ( p11 @ SV16 ) )
= $false )
| ( ( p12 @ SV16 )
= $false )
| ( ( r1 @ ( sK16_SY266 @ SV5 ) @ SV16 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(518,plain,
! [SV5: $i,SV16: $i] :
( ( ( p12 @ SV16 )
= $true )
| ( ( ~ ( p11 @ SV16 ) )
= $true )
| ( ( r1 @ ( sK16_SY266 @ SV5 ) @ SV16 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(519,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ( ~ ( p14 @ SV18 )
| ~ ~ ( p13 @ SV18 ) )
| ~ ( ~ ~ ( p14 @ SV18 )
| ~ ( p13 @ SV18 ) ) )
= $false )
| ( ( r1 @ ( sK18_SY280 @ SV5 ) @ SV18 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(520,plain,
! [SV5: $i,SV17: $i] :
( ( ( ~ ( p13 @ SV17 ) )
= $true )
| ( ( ~ ~ ( p12 @ SV17 ) )
= $true )
| ( ( r1 @ ( sK17_SY274 @ SV5 ) @ SV17 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[515]) ).
thf(521,plain,
! [SV5: $i,SV17: $i] :
( ( ( ~ ~ ( p13 @ SV17 ) )
= $true )
| ( ( ~ ( p12 @ SV17 ) )
= $true )
| ( ( r1 @ ( sK17_SY274 @ SV5 ) @ SV17 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(522,plain,
! [SV5: $i,SV16: $i] :
( ( ( p11 @ SV16 )
= $true )
| ( ( p12 @ SV16 )
= $false )
| ( ( r1 @ ( sK16_SY266 @ SV5 ) @ SV16 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[517]) ).
thf(523,plain,
! [SV5: $i,SV16: $i] :
( ( ( p11 @ SV16 )
= $false )
| ( ( p12 @ SV16 )
= $true )
| ( ( r1 @ ( sK16_SY266 @ SV5 ) @ SV16 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(524,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ( ~ ( p14 @ SV18 )
| ~ ~ ( p13 @ SV18 ) ) )
= $false )
| ( ( r1 @ ( sK18_SY280 @ SV5 ) @ SV18 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[519]) ).
thf(525,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ( ~ ~ ( p14 @ SV18 )
| ~ ( p13 @ SV18 ) ) )
= $false )
| ( ( r1 @ ( sK18_SY280 @ SV5 ) @ SV18 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[519]) ).
thf(526,plain,
! [SV5: $i,SV17: $i] :
( ( ( p13 @ SV17 )
= $false )
| ( ( ~ ~ ( p12 @ SV17 ) )
= $true )
| ( ( r1 @ ( sK17_SY274 @ SV5 ) @ SV17 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(527,plain,
! [SV5: $i,SV17: $i] :
( ( ( ~ ( p13 @ SV17 ) )
= $false )
| ( ( ~ ( p12 @ SV17 ) )
= $true )
| ( ( r1 @ ( sK17_SY274 @ SV5 ) @ SV17 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(528,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ( p14 @ SV18 )
| ~ ~ ( p13 @ SV18 ) )
= $true )
| ( ( r1 @ ( sK18_SY280 @ SV5 ) @ SV18 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(529,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ~ ( p14 @ SV18 )
| ~ ( p13 @ SV18 ) )
= $true )
| ( ( r1 @ ( sK18_SY280 @ SV5 ) @ SV18 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(530,plain,
! [SV5: $i,SV17: $i] :
( ( ( ~ ( p12 @ SV17 ) )
= $false )
| ( ( p13 @ SV17 )
= $false )
| ( ( r1 @ ( sK17_SY274 @ SV5 ) @ SV17 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(531,plain,
! [SV5: $i,SV17: $i] :
( ( ( p13 @ SV17 )
= $true )
| ( ( ~ ( p12 @ SV17 ) )
= $true )
| ( ( r1 @ ( sK17_SY274 @ SV5 ) @ SV17 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(532,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ( p14 @ SV18 ) )
= $true )
| ( ( ~ ~ ( p13 @ SV18 ) )
= $true )
| ( ( r1 @ ( sK18_SY280 @ SV5 ) @ SV18 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[528]) ).
thf(533,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ~ ( p14 @ SV18 ) )
= $true )
| ( ( ~ ( p13 @ SV18 ) )
= $true )
| ( ( r1 @ ( sK18_SY280 @ SV5 ) @ SV18 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[529]) ).
thf(534,plain,
! [SV5: $i,SV17: $i] :
( ( ( p12 @ SV17 )
= $true )
| ( ( p13 @ SV17 )
= $false )
| ( ( r1 @ ( sK17_SY274 @ SV5 ) @ SV17 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[530]) ).
thf(535,plain,
! [SV5: $i,SV17: $i] :
( ( ( p12 @ SV17 )
= $false )
| ( ( p13 @ SV17 )
= $true )
| ( ( r1 @ ( sK17_SY274 @ SV5 ) @ SV17 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(536,plain,
! [SV5: $i,SV18: $i] :
( ( ( p14 @ SV18 )
= $false )
| ( ( ~ ~ ( p13 @ SV18 ) )
= $true )
| ( ( r1 @ ( sK18_SY280 @ SV5 ) @ SV18 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(537,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ( p14 @ SV18 ) )
= $false )
| ( ( ~ ( p13 @ SV18 ) )
= $true )
| ( ( r1 @ ( sK18_SY280 @ SV5 ) @ SV18 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(538,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ( p13 @ SV18 ) )
= $false )
| ( ( p14 @ SV18 )
= $false )
| ( ( r1 @ ( sK18_SY280 @ SV5 ) @ SV18 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(539,plain,
! [SV5: $i,SV18: $i] :
( ( ( p14 @ SV18 )
= $true )
| ( ( ~ ( p13 @ SV18 ) )
= $true )
| ( ( r1 @ ( sK18_SY280 @ SV5 ) @ SV18 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[537]) ).
thf(540,plain,
! [SV5: $i,SV18: $i] :
( ( ( p13 @ SV18 )
= $true )
| ( ( p14 @ SV18 )
= $false )
| ( ( r1 @ ( sK18_SY280 @ SV5 ) @ SV18 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[538]) ).
thf(541,plain,
! [SV5: $i,SV18: $i] :
( ( ( p13 @ SV18 )
= $false )
| ( ( p14 @ SV18 )
= $true )
| ( ( r1 @ ( sK18_SY280 @ SV5 ) @ SV18 )
= $false )
| ( ( r1 @ sK3_SY41 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(542,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[14,541,540,535,534,523,522,513,507,505,504,498,482,481,475,459,458,457,451,441,431,429,428,422,421,408,404,396,389,388,382,380,366,351,345,344,338,337,321,308,301,300,294,292,278,263,257,256,250,249,233,220,213,212,206,204,190,183,182,173,160,159,143,130,118,116,94,85,71,64,47,46,45,41,40,37]) ).
thf(543,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[542]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n014.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 12:31:59 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.07/0.72
% 3.07/0.72 No.of.Axioms: 2
% 3.07/0.72
% 3.07/0.72 Length.of.Defs: 0
% 3.07/0.72
% 3.07/0.72 Contains.Choice.Funs: false
% 3.07/0.72 ..............................
% 3.07/0.72
% 3.07/0.72 ********************************
% 3.07/0.72 * All subproblems solved! *
% 3.07/0.72 ********************************
% 3.07/0.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:2,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:542,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.07/0.72
% 3.07/0.72 %**** Beginning of derivation protocol ****
% 3.07/0.72 % SZS output start CNFRefutation
% See solution above
% 3.07/0.72
% 3.07/0.72 %**** End of derivation protocol ****
% 3.07/0.72 %**** no. of clauses in derivation: 543 ****
% 3.07/0.72 %**** clause counter: 542 ****
% 3.07/0.72
% 3.07/0.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:2,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:542,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------