%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : LCL652+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 10:29:37 AM UTC 2026
% Result : Theorem 44.38s 9.15s
% Output : CNFRefutation 44.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 1
% Syntax : Number of formulae : 414 ( 55 unt; 0 typ; 0 def)
% Number of atoms : 7170 (1661 equ; 0 cnn)
% Maximal formula atoms : 74 ( 17 avg)
% Number of connectives : 15060 (3892 ~;3399 |; 35 &;7734 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 44 ( 41 usr; 7 con; 0-4 aty)
% Number of variables : 2487 ( 0 ^;2482 !; 5 ?;2487 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_p1,type,
p1: $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_r1,type,
r1: $i > $i > $o ).
thf(tp_sK10_SY135,type,
sK10_SY135: $i > $i ).
thf(tp_sK11_SY154,type,
sK11_SY154: $i > $i > $i ).
thf(tp_sK12_SY135,type,
sK12_SY135: $i > $i ).
thf(tp_sK13_SY144,type,
sK13_SY144: $i > $i > $i ).
thf(tp_sK14_SY135,type,
sK14_SY135: $i > $i ).
thf(tp_sK15_SY109,type,
sK15_SY109: $i > $i > $i > $i ).
thf(tp_sK16_SY135,type,
sK16_SY135: $i > $i ).
thf(tp_sK17_SY164,type,
sK17_SY164: $i > $i > $i > $i ).
thf(tp_sK18_SY166,type,
sK18_SY166: $i > $i > $i ).
thf(tp_sK19_SY168,type,
sK19_SY168: $i > $i > $i > $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK20_SY146,type,
sK20_SY146: $i > $i > $i ).
thf(tp_sK21_SY142,type,
sK21_SY142: $i > $i > $i > $i ).
thf(tp_sK22_SY142,type,
sK22_SY142: $i > $i > $i > $i ).
thf(tp_sK23_SY173,type,
sK23_SY173: $i > $i > $i > $i ).
thf(tp_sK24_SY124,type,
sK24_SY124: $i > $i > $i > $i ).
thf(tp_sK25_SY146,type,
sK25_SY146: $i > $i > $i > $i ).
thf(tp_sK26_SY124,type,
sK26_SY124: $i > $i > $i > $i ).
thf(tp_sK27_SY124,type,
sK27_SY124: $i > $i > $i > $i ).
thf(tp_sK28_SY179,type,
sK28_SY179: $i > $i > $i > $i ).
thf(tp_sK29_SY124,type,
sK29_SY124: $i > $i > $i > $i ).
thf(tp_sK2_SY92,type,
sK2_SY92: $i ).
thf(tp_sK30_SY180,type,
sK30_SY180: $i > $i > $i > $i ).
thf(tp_sK31_SY189,type,
sK31_SY189: $i > $i > $i > $i ).
thf(tp_sK32_SY190,type,
sK32_SY190: $i > $i > $i > $i > $i ).
thf(tp_sK33_SY194,type,
sK33_SY194: $i > $i > $i > $i > $i ).
thf(tp_sK34_SY192,type,
sK34_SY192: $i > $i > $i > $i > $i ).
thf(tp_sK35_SY195,type,
sK35_SY195: $i > $i > $i > $i > $i ).
thf(tp_sK36_SY197,type,
sK36_SY197: $i > $i > $i > $i > $i ).
thf(tp_sK3_SY88,type,
sK3_SY88: $i ).
thf(tp_sK4_SY106,type,
sK4_SY106: $i ).
thf(tp_sK5_SY104,type,
sK5_SY104: $i ).
thf(tp_sK6_SY110,type,
sK6_SY110: $i > $i ).
thf(tp_sK7_SY133,type,
sK7_SY133: $i > $i ).
thf(tp_sK8_SY103,type,
sK8_SY103: $i > $i > $i > $i ).
thf(tp_sK9_SY151,type,
sK9_SY151: $i > $i ).
thf(1,conjecture,
~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p4 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X ) )
| ~ ( p2 @ Y ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X ) )
| ~ ( p2 @ Y ) ) )
& ( p2 @ X )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p2 @ Y ) ) ) ) ) )
| ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ( p2 @ X ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p2 @ Y ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p2 @ X ) ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X ) )
| ~ ( p2 @ Y ) ) ) ) ) )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ( p2 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p2 @ Y ) ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
thf(2,negated_conjecture,
( ( ~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p4 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X ) )
| ~ ( p2 @ Y ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X ) )
| ~ ( p2 @ Y ) ) )
& ( p2 @ X )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p2 @ Y ) ) ) ) ) )
| ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ( p2 @ X ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p2 @ Y ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p2 @ X ) ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X ) )
| ~ ( p2 @ Y ) ) ) ) ) )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ( p2 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p2 @ Y ) ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p4 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X ) )
| ~ ( p2 @ Y ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X ) )
| ~ ( p2 @ Y ) ) )
& ( p2 @ X )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p2 @ Y ) ) ) ) ) )
| ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ( p2 @ X ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p2 @ Y ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p2 @ X ) ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X ) )
| ~ ( p2 @ Y ) ) ) ) ) )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ( p2 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p2 @ Y ) ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p4 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X ) )
| ~ ( p2 @ Y ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X ) )
| ~ ( p2 @ Y ) ) )
& ( p2 @ X )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p2 @ Y ) ) ) ) ) )
| ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ( p2 @ X ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p2 @ Y ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p2 @ X ) ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X ) )
| ~ ( p2 @ Y ) ) ) ) ) )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ( p2 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p2 @ Y ) ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p4 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X ) )
| ~ ( p2 @ Y ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X ) )
| ~ ( p2 @ Y ) ) )
& ( p2 @ X )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p2 @ Y ) ) ) ) ) )
| ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ( p2 @ X ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p2 @ Y ) ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p2 @ X ) ) )
& ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X ) )
| ~ ( p2 @ Y ) ) ) ) ) )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ( p2 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p2 @ Y ) ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(6,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p4 @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SX2 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ( p2 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( p1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p4 @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SX2 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ( p2 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( p1 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6]) ).
thf(8,plain,
( ( ~ ~ ( ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ( p4 @ SY50 ) )
| ~ ! [SY51: $i] :
( ~ ( r1 @ sK1_SX0 @ SY51 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) )
| ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SX2 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ( p2 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) )
| ~ ! [SY84: $i] :
( ~ ( r1 @ sK1_SX0 @ SY84 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY84 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY84 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SY88: $i] :
( ~ ( r1 @ sK1_SX0 @ SY88 )
| ! [SX2: $i] :
( ~ ( r1 @ SY88 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY88 @ SX2 )
| ( p1 @ SX2 ) ) )
| ! [SY92: $i] :
( ~ ( r1 @ sK1_SX0 @ SY92 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY92 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 ) ) ) )
| ~ ! [SY95: $i] :
( ~ ( r1 @ sK1_SX0 @ SY95 )
| ! [SX2: $i] :
( ~ ( r1 @ SY95 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY95 @ SX2 )
| ~ ( p1 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[7]) ).
thf(9,plain,
( ( ~ ( ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ( p4 @ SY50 ) )
| ~ ! [SY51: $i] :
( ~ ( r1 @ sK1_SX0 @ SY51 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) )
| ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SX2 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ( p2 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) )
| ~ ! [SY84: $i] :
( ~ ( r1 @ sK1_SX0 @ SY84 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY84 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY84 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SY88: $i] :
( ~ ( r1 @ sK1_SX0 @ SY88 )
| ! [SX2: $i] :
( ~ ( r1 @ SY88 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY88 @ SX2 )
| ( p1 @ SX2 ) ) )
| ! [SY92: $i] :
( ~ ( r1 @ sK1_SX0 @ SY92 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY92 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 ) ) ) )
| ~ ! [SY95: $i] :
( ~ ( r1 @ sK1_SX0 @ SY95 )
| ! [SX2: $i] :
( ~ ( r1 @ SY95 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY95 @ SX2 )
| ~ ( p1 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[8]) ).
thf(10,plain,
( ( ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ( p4 @ SY50 ) )
| ~ ! [SY51: $i] :
( ~ ( r1 @ sK1_SX0 @ SY51 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) )
| ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SX2 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ( p2 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) )
| ~ ! [SY84: $i] :
( ~ ( r1 @ sK1_SX0 @ SY84 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY84 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY84 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SY88: $i] :
( ~ ( r1 @ sK1_SX0 @ SY88 )
| ! [SX2: $i] :
( ~ ( r1 @ SY88 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY88 @ SX2 )
| ( p1 @ SX2 ) ) )
| ! [SY92: $i] :
( ~ ( r1 @ sK1_SX0 @ SY92 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY92 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 ) ) ) )
| ~ ! [SY95: $i] :
( ~ ( r1 @ sK1_SX0 @ SY95 )
| ! [SX2: $i] :
( ~ ( r1 @ SY95 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY95 @ SX2 )
| ~ ( p1 @ SX2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(11,plain,
( ( ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ( p4 @ SY50 ) )
| ~ ! [SY51: $i] :
( ~ ( r1 @ sK1_SX0 @ SY51 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) )
| ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SX2 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ( p2 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) )
| ~ ! [SY84: $i] :
( ~ ( r1 @ sK1_SX0 @ SY84 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY84 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY84 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SY88: $i] :
( ~ ( r1 @ sK1_SX0 @ SY88 )
| ! [SX2: $i] :
( ~ ( r1 @ SY88 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY88 @ SX2 )
| ( p1 @ SX2 ) ) )
| ! [SY92: $i] :
( ~ ( r1 @ sK1_SX0 @ SY92 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY92 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[10]) ).
thf(12,plain,
( ( ~ ! [SY95: $i] :
( ~ ( r1 @ sK1_SX0 @ SY95 )
| ! [SX2: $i] :
( ~ ( r1 @ SY95 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY95 @ SX2 )
| ~ ( p1 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ( p4 @ SY50 ) )
| ~ ! [SY51: $i] :
( ~ ( r1 @ sK1_SX0 @ SY51 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) )
| ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SX2 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ( p2 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) )
| ~ ! [SY84: $i] :
( ~ ( r1 @ sK1_SX0 @ SY84 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY84 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY84 @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SY88: $i] :
( ~ ( r1 @ sK1_SX0 @ SY88 )
| ! [SX2: $i] :
( ~ ( r1 @ SY88 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY88 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[11]) ).
thf(14,plain,
( ( ! [SY92: $i] :
( ~ ( r1 @ sK1_SX0 @ SY92 )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY92 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[11]) ).
thf(15,plain,
( ( ! [SY95: $i] :
( ~ ( r1 @ sK1_SX0 @ SY95 )
| ! [SX2: $i] :
( ~ ( r1 @ SY95 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY95 @ SX2 )
| ~ ( p1 @ SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[12]) ).
thf(16,plain,
( ( ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ( p4 @ SY50 ) )
| ~ ! [SY51: $i] :
( ~ ( r1 @ sK1_SX0 @ SY51 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) )
| ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SX2 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ( p2 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) )
| ~ ! [SY84: $i] :
( ~ ( r1 @ sK1_SX0 @ SY84 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY84 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY84 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(17,plain,
( ( ! [SY88: $i] :
( ~ ( r1 @ sK1_SX0 @ SY88 )
| ! [SX2: $i] :
( ~ ( r1 @ SY88 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY88 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(18,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK2_SY92 )
| ~ ! [SY99: $i] :
( ~ ( r1 @ sK2_SY92 @ SY99 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY99 @ SX3 )
| ( p2 @ SX3 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[14]) ).
thf(19,plain,
! [SV1: $i] :
( ( ~ ( r1 @ sK1_SX0 @ SV1 )
| ! [SY101: $i] :
( ~ ( r1 @ SV1 @ SY101 )
| ! [SX3: $i] :
( ~ ( r1 @ SY101 @ SX3 )
| ~ ( p1 @ SX3 ) ) )
| ~ ! [SY103: $i] :
( ~ ( r1 @ SV1 @ SY103 )
| ~ ( p1 @ SY103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(20,plain,
( ( ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ( p4 @ SY50 ) )
| ~ ! [SY51: $i] :
( ~ ( r1 @ sK1_SX0 @ SY51 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) )
| ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SX2 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ( p2 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(21,plain,
( ( ~ ! [SY84: $i] :
( ~ ( r1 @ sK1_SX0 @ SY84 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY84 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY84 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(22,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK3_SY88 )
| ! [SY104: $i] :
( ~ ( r1 @ sK3_SY88 @ SY104 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY104 @ SX3 )
| ( p1 @ SX3 ) ) )
| ! [SY106: $i] :
( ~ ( r1 @ sK3_SY88 @ SY106 )
| ( p1 @ SY106 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[17]) ).
thf(23,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK2_SY92 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(24,plain,
( ( ~ ! [SY99: $i] :
( ~ ( r1 @ sK2_SY92 @ SY99 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY99 @ SX3 )
| ( p2 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(25,plain,
! [SV1: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV1 )
| ! [SY101: $i] :
( ~ ( r1 @ SV1 @ SY101 )
| ! [SX3: $i] :
( ~ ( r1 @ SY101 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( ~ ! [SY103: $i] :
( ~ ( r1 @ SV1 @ SY103 )
| ~ ( p1 @ SY103 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(26,plain,
( ( ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ( p4 @ SY50 ) )
| ~ ! [SY51: $i] :
( ~ ( r1 @ sK1_SX0 @ SY51 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(27,plain,
( ( ~ ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SX2 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ( p2 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(28,plain,
( ( ! [SY84: $i] :
( ~ ( r1 @ sK1_SX0 @ SY84 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY84 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY84 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(29,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK3_SY88 )
| ! [SY104: $i] :
( ~ ( r1 @ sK3_SY88 @ SY104 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY104 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(30,plain,
( ( ! [SY106: $i] :
( ~ ( r1 @ sK3_SY88 @ SY106 )
| ( p1 @ SY106 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(31,plain,
( ( r1 @ sK1_SX0 @ sK2_SY92 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(32,plain,
( ( ! [SY99: $i] :
( ~ ( r1 @ sK2_SY92 @ SY99 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY99 @ SX3 )
| ( p2 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(33,plain,
! [SV1: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV1 ) )
= $true )
| ( ( ! [SY101: $i] :
( ~ ( r1 @ SV1 @ SY101 )
| ! [SX3: $i] :
( ~ ( r1 @ SY101 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( ~ ! [SY103: $i] :
( ~ ( r1 @ SV1 @ SY103 )
| ~ ( p1 @ SY103 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(34,plain,
( ( ~ ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ( p4 @ SY50 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(35,plain,
( ( ~ ! [SY51: $i] :
( ~ ( r1 @ sK1_SX0 @ SY51 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(36,plain,
( ( ! [SY57: $i] :
( ~ ( r1 @ sK1_SX0 @ SY57 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SX2 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ( p2 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY57 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(37,plain,
! [SV2: $i] :
( ( ~ ( r1 @ sK1_SX0 @ SV2 )
| ~ ~ ( ~ ~ ! [SY107: $i] :
( ~ ( r1 @ SV2 @ SY107 )
| ! [SX3: $i] :
( ~ ( r1 @ SY107 @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ! [SY109: $i] :
( ~ ( r1 @ SV2 @ SY109 )
| ( p1 @ SY109 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(38,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK3_SY88 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(39,plain,
( ( ! [SY104: $i] :
( ~ ( r1 @ sK3_SY88 @ SY104 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY104 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(40,plain,
( ( ~ ( r1 @ sK3_SY88 @ sK4_SY106 )
| ( p1 @ sK4_SY106 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[30]) ).
thf(41,plain,
! [SV3: $i] :
( ( ~ ( r1 @ sK2_SY92 @ SV3 )
| ~ ! [SY110: $i] :
( ~ ( r1 @ SV3 @ SY110 )
| ( p2 @ SY110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(42,plain,
! [SV1: $i] :
( ( ( r1 @ sK1_SX0 @ SV1 )
= $false )
| ( ( ! [SY101: $i] :
( ~ ( r1 @ SV1 @ SY101 )
| ! [SX3: $i] :
( ~ ( r1 @ SY101 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( ~ ! [SY103: $i] :
( ~ ( r1 @ SV1 @ SY103 )
| ~ ( p1 @ SY103 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(43,plain,
( ( ! [SY50: $i] :
( ~ ( r1 @ sK1_SX0 @ SY50 )
| ~ ( p4 @ SY50 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(44,plain,
( ( ! [SY51: $i] :
( ~ ( r1 @ sK1_SX0 @ SY51 )
| ~ ~ ( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(45,plain,
! [SV4: $i] :
( ( ~ ( r1 @ sK1_SX0 @ SV4 )
| ~ ( ~ ! [SY111: $i] :
( ~ ( r1 @ SV4 @ SY111 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY111 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SV4 @ SY114 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SY114 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ~ ! [SY120: $i] :
( ~ ( r1 @ SV4 @ SY120 )
| ! [SX3: $i] :
( ~ ( r1 @ SY120 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
| ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
| ~ ! [SY126: $i] :
( ~ ( r1 @ SV4 @ SY126 )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY126 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY126 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ! [SY133: $i] :
( ~ ( r1 @ SV4 @ SY133 )
| ! [SX3: $i] :
( ~ ( r1 @ SY133 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ( p2 @ SY133 ) )
| ~ ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(46,plain,
! [SV2: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV2 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ! [SY107: $i] :
( ~ ( r1 @ SV2 @ SY107 )
| ! [SX3: $i] :
( ~ ( r1 @ SY107 @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ! [SY109: $i] :
( ~ ( r1 @ SV2 @ SY109 )
| ( p1 @ SY109 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(47,plain,
( ( r1 @ sK1_SX0 @ sK3_SY88 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(48,plain,
( ( ~ ( r1 @ sK3_SY88 @ sK5_SY104 )
| ~ ! [SY137: $i] :
( ~ ( r1 @ sK5_SY104 @ SY137 )
| ( p1 @ SY137 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[39]) ).
thf(49,plain,
( ( ~ ( r1 @ sK3_SY88 @ sK4_SY106 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(50,plain,
( ( p1 @ sK4_SY106 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(51,plain,
! [SV3: $i] :
( ( ( ~ ( r1 @ sK2_SY92 @ SV3 ) )
= $true )
| ( ( ~ ! [SY110: $i] :
( ~ ( r1 @ SV3 @ SY110 )
| ( p2 @ SY110 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(52,plain,
! [SV5: $i,SV1: $i] :
( ( ( ~ ( r1 @ SV1 @ SV5 )
| ! [SY138: $i] :
( ~ ( r1 @ SV5 @ SY138 )
| ~ ( p1 @ SY138 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV1 )
= $false )
| ( ( ~ ! [SY103: $i] :
( ~ ( r1 @ SV1 @ SY103 )
| ~ ( p1 @ SY103 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(53,plain,
! [SV6: $i] :
( ( ~ ( r1 @ sK1_SX0 @ SV6 )
| ~ ( p4 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(54,plain,
! [SV7: $i] :
( ( ~ ( r1 @ sK1_SX0 @ SV7 )
| ~ ~ ( ~ ~ ! [SY139: $i] :
( ~ ( r1 @ SV7 @ SY139 )
| ! [SX3: $i] :
( ~ ( r1 @ SY139 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
| ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(55,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV4 ) )
= $true )
| ( ( ~ ( ~ ! [SY111: $i] :
( ~ ( r1 @ SV4 @ SY111 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY111 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SV4 @ SY114 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SY114 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ~ ! [SY120: $i] :
( ~ ( r1 @ SV4 @ SY120 )
| ! [SX3: $i] :
( ~ ( r1 @ SY120 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
| ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
| ~ ! [SY126: $i] :
( ~ ( r1 @ SV4 @ SY126 )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY126 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY126 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ! [SY133: $i] :
( ~ ( r1 @ SV4 @ SY133 )
| ! [SX3: $i] :
( ~ ( r1 @ SY133 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ( p2 @ SY133 ) )
| ~ ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(56,plain,
! [SV2: $i] :
( ( ( r1 @ sK1_SX0 @ SV2 )
= $false )
| ( ( ~ ~ ( ~ ~ ! [SY107: $i] :
( ~ ( r1 @ SV2 @ SY107 )
| ! [SX3: $i] :
( ~ ( r1 @ SY107 @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ! [SY109: $i] :
( ~ ( r1 @ SV2 @ SY109 )
| ( p1 @ SY109 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(57,plain,
( ( ~ ( r1 @ sK3_SY88 @ sK5_SY104 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(58,plain,
( ( ~ ! [SY137: $i] :
( ~ ( r1 @ sK5_SY104 @ SY137 )
| ( p1 @ SY137 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(59,plain,
( ( r1 @ sK3_SY88 @ sK4_SY106 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(60,plain,
! [SV3: $i] :
( ( ( r1 @ sK2_SY92 @ SV3 )
= $false )
| ( ( ~ ! [SY110: $i] :
( ~ ( r1 @ SV3 @ SY110 )
| ( p2 @ SY110 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(61,plain,
! [SV5: $i,SV1: $i] :
( ( ( ~ ( r1 @ SV1 @ SV5 ) )
= $true )
| ( ( ! [SY138: $i] :
( ~ ( r1 @ SV5 @ SY138 )
| ~ ( p1 @ SY138 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV1 )
= $false )
| ( ( ~ ! [SY103: $i] :
( ~ ( r1 @ SV1 @ SY103 )
| ~ ( p1 @ SY103 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(62,plain,
! [SV6: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV6 ) )
= $true )
| ( ( ~ ( p4 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(63,plain,
! [SV7: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV7 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ! [SY139: $i] :
( ~ ( r1 @ SV7 @ SY139 )
| ! [SX3: $i] :
( ~ ( r1 @ SY139 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
| ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(64,plain,
! [SV4: $i] :
( ( ( r1 @ sK1_SX0 @ SV4 )
= $false )
| ( ( ~ ( ~ ! [SY111: $i] :
( ~ ( r1 @ SV4 @ SY111 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY111 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SV4 @ SY114 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SY114 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ~ ! [SY120: $i] :
( ~ ( r1 @ SV4 @ SY120 )
| ! [SX3: $i] :
( ~ ( r1 @ SY120 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
| ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
| ~ ! [SY126: $i] :
( ~ ( r1 @ SV4 @ SY126 )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY126 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY126 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ! [SY133: $i] :
( ~ ( r1 @ SV4 @ SY133 )
| ! [SX3: $i] :
( ~ ( r1 @ SY133 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ( p2 @ SY133 ) )
| ~ ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(65,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ~ ! [SY107: $i] :
( ~ ( r1 @ SV2 @ SY107 )
| ! [SX3: $i] :
( ~ ( r1 @ SY107 @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ! [SY109: $i] :
( ~ ( r1 @ SV2 @ SY109 )
| ( p1 @ SY109 ) ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(66,plain,
( ( r1 @ sK3_SY88 @ sK5_SY104 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(67,plain,
( ( ! [SY137: $i] :
( ~ ( r1 @ sK5_SY104 @ SY137 )
| ( p1 @ SY137 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(68,plain,
! [SV3: $i] :
( ( ( ! [SY110: $i] :
( ~ ( r1 @ SV3 @ SY110 )
| ( p2 @ SY110 ) ) )
= $false )
| ( ( r1 @ sK2_SY92 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(69,plain,
! [SV5: $i,SV1: $i] :
( ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( ! [SY138: $i] :
( ~ ( r1 @ SV5 @ SY138 )
| ~ ( p1 @ SY138 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV1 )
= $false )
| ( ( ~ ! [SY103: $i] :
( ~ ( r1 @ SV1 @ SY103 )
| ~ ( p1 @ SY103 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(70,plain,
! [SV6: $i] :
( ( ( r1 @ sK1_SX0 @ SV6 )
= $false )
| ( ( ~ ( p4 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(71,plain,
! [SV7: $i] :
( ( ( r1 @ sK1_SX0 @ SV7 )
= $false )
| ( ( ~ ~ ( ~ ~ ! [SY139: $i] :
( ~ ( r1 @ SV7 @ SY139 )
| ! [SX3: $i] :
( ~ ( r1 @ SY139 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
| ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(72,plain,
! [SV4: $i] :
( ( ( ~ ! [SY111: $i] :
( ~ ( r1 @ SV4 @ SY111 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY111 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SV4 @ SY114 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SY114 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ~ ! [SY120: $i] :
( ~ ( r1 @ SV4 @ SY120 )
| ! [SX3: $i] :
( ~ ( r1 @ SY120 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
| ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
| ~ ! [SY126: $i] :
( ~ ( r1 @ SV4 @ SY126 )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY126 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY126 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ! [SY133: $i] :
( ~ ( r1 @ SV4 @ SY133 )
| ! [SX3: $i] :
( ~ ( r1 @ SY133 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ( p2 @ SY133 ) )
| ~ ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(73,plain,
! [SV2: $i] :
( ( ( ~ ~ ! [SY107: $i] :
( ~ ( r1 @ SV2 @ SY107 )
| ! [SX3: $i] :
( ~ ( r1 @ SY107 @ SX3 )
| ( p1 @ SX3 ) ) )
| ~ ! [SY109: $i] :
( ~ ( r1 @ SV2 @ SY109 )
| ( p1 @ SY109 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(74,plain,
! [SV8: $i] :
( ( ~ ( r1 @ sK5_SY104 @ SV8 )
| ( p1 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(75,plain,
! [SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ ( sK6_SY110 @ SV3 ) )
| ( p2 @ ( sK6_SY110 @ SV3 ) ) )
= $false )
| ( ( r1 @ sK2_SY92 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[68]) ).
thf(76,plain,
! [SV1: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV9 )
| ~ ( p1 @ SV9 ) )
= $true )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV1 )
= $false )
| ( ( ~ ! [SY103: $i] :
( ~ ( r1 @ SV1 @ SY103 )
| ~ ( p1 @ SY103 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(77,plain,
! [SV6: $i] :
( ( ( p4 @ SV6 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(78,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ~ ! [SY139: $i] :
( ~ ( r1 @ SV7 @ SY139 )
| ! [SX3: $i] :
( ~ ( r1 @ SY139 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
| ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(79,plain,
! [SV4: $i] :
( ( ( ~ ! [SY111: $i] :
( ~ ( r1 @ SV4 @ SY111 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY111 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SV4 @ SY114 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SY114 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ~ ! [SY120: $i] :
( ~ ( r1 @ SV4 @ SY120 )
| ! [SX3: $i] :
( ~ ( r1 @ SY120 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
| ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
| ~ ! [SY126: $i] :
( ~ ( r1 @ SV4 @ SY126 )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY126 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY126 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(80,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ! [SY133: $i] :
( ~ ( r1 @ SV4 @ SY133 )
| ! [SX3: $i] :
( ~ ( r1 @ SY133 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ( p2 @ SY133 ) )
| ~ ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(81,plain,
! [SV2: $i] :
( ( ( ~ ~ ! [SY107: $i] :
( ~ ( r1 @ SV2 @ SY107 )
| ! [SX3: $i] :
( ~ ( r1 @ SY107 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( ~ ! [SY109: $i] :
( ~ ( r1 @ SV2 @ SY109 )
| ( p1 @ SY109 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(82,plain,
! [SV8: $i] :
( ( ( ~ ( r1 @ sK5_SY104 @ SV8 ) )
= $true )
| ( ( p1 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(83,plain,
! [SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ ( sK6_SY110 @ SV3 ) ) )
= $false )
| ( ( r1 @ sK2_SY92 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(84,plain,
! [SV3: $i] :
( ( ( p2 @ ( sK6_SY110 @ SV3 ) )
= $false )
| ( ( r1 @ sK2_SY92 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(85,plain,
! [SV1: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV9 ) )
= $true )
| ( ( ~ ( p1 @ SV9 ) )
= $true )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV1 )
= $false )
| ( ( ~ ! [SY103: $i] :
( ~ ( r1 @ SV1 @ SY103 )
| ~ ( p1 @ SY103 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(86,plain,
! [SV7: $i] :
( ( ( ~ ~ ! [SY139: $i] :
( ~ ( r1 @ SV7 @ SY139 )
| ! [SX3: $i] :
( ~ ( r1 @ SY139 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
| ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(87,plain,
! [SV4: $i] :
( ( ( ~ ! [SY111: $i] :
( ~ ( r1 @ SV4 @ SY111 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY111 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SV4 @ SY114 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SY114 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
| ~ ( ~ ~ ! [SY120: $i] :
( ~ ( r1 @ SV4 @ SY120 )
| ! [SX3: $i] :
( ~ ( r1 @ SY120 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
| ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(88,plain,
! [SV4: $i] :
( ( ( ~ ! [SY126: $i] :
( ~ ( r1 @ SV4 @ SY126 )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY126 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY126 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(89,plain,
! [SV4: $i] :
( ( ( ~ ! [SY133: $i] :
( ~ ( r1 @ SV4 @ SY133 )
| ! [SX3: $i] :
( ~ ( r1 @ SY133 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ( p2 @ SY133 ) )
| ~ ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(90,plain,
! [SV2: $i] :
( ( ( ~ ! [SY107: $i] :
( ~ ( r1 @ SV2 @ SY107 )
| ! [SX3: $i] :
( ~ ( r1 @ SY107 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $false )
| ( ( ~ ! [SY109: $i] :
( ~ ( r1 @ SV2 @ SY109 )
| ( p1 @ SY109 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(91,plain,
! [SV8: $i] :
( ( ( r1 @ sK5_SY104 @ SV8 )
= $false )
| ( ( p1 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(92,plain,
! [SV3: $i] :
( ( ( r1 @ SV3 @ ( sK6_SY110 @ SV3 ) )
= $true )
| ( ( r1 @ sK2_SY92 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(93,plain,
! [SV1: $i,SV9: $i,SV5: $i] :
( ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( ~ ( p1 @ SV9 ) )
= $true )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV1 )
= $false )
| ( ( ~ ! [SY103: $i] :
( ~ ( r1 @ SV1 @ SY103 )
| ~ ( p1 @ SY103 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(94,plain,
! [SV7: $i] :
( ( ( ~ ~ ! [SY139: $i] :
( ~ ( r1 @ SV7 @ SY139 )
| ! [SX3: $i] :
( ~ ( r1 @ SY139 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) ) )
= $true )
| ( ( ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(95,plain,
! [SV4: $i] :
( ( ( ~ ! [SY111: $i] :
( ~ ( r1 @ SV4 @ SY111 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY111 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SV4 @ SY114 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SY114 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(96,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ~ ! [SY120: $i] :
( ~ ( r1 @ SV4 @ SY120 )
| ! [SX3: $i] :
( ~ ( r1 @ SY120 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
| ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(97,plain,
! [SV4: $i] :
( ( ( ! [SY126: $i] :
( ~ ( r1 @ SV4 @ SY126 )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY126 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY126 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(98,plain,
! [SV4: $i] :
( ( ( ~ ! [SY133: $i] :
( ~ ( r1 @ SV4 @ SY133 )
| ! [SX3: $i] :
( ~ ( r1 @ SY133 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ( p2 @ SY133 ) ) )
= $true )
| ( ( ~ ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(99,plain,
! [SV2: $i] :
( ( ( ! [SY107: $i] :
( ~ ( r1 @ SV2 @ SY107 )
| ! [SX3: $i] :
( ~ ( r1 @ SY107 @ SX3 )
| ( p1 @ SX3 ) ) ) )
= $true )
| ( ( ~ ! [SY109: $i] :
( ~ ( r1 @ SV2 @ SY109 )
| ( p1 @ SY109 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(100,plain,
! [SV1: $i,SV5: $i,SV9: $i] :
( ( ( p1 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV1 )
= $false )
| ( ( ~ ! [SY103: $i] :
( ~ ( r1 @ SV1 @ SY103 )
| ~ ( p1 @ SY103 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(101,plain,
! [SV7: $i] :
( ( ( ~ ! [SY139: $i] :
( ~ ( r1 @ SV7 @ SY139 )
| ! [SX3: $i] :
( ~ ( r1 @ SY139 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) ) )
= $false )
| ( ( ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(102,plain,
! [SV4: $i] :
( ( ( ~ ! [SY111: $i] :
( ~ ( r1 @ SV4 @ SY111 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY111 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(103,plain,
! [SV4: $i] :
( ( ( ~ ! [SY114: $i] :
( ~ ( r1 @ SV4 @ SY114 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SY114 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(104,plain,
! [SV4: $i] :
( ( ( ~ ~ ! [SY120: $i] :
( ~ ( r1 @ SV4 @ SY120 )
| ! [SX3: $i] :
( ~ ( r1 @ SY120 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
| ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(105,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV10 )
| ~ ~ ( ~ ! [SY144: $i] :
( ~ ( r1 @ SV10 @ SY144 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY144 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SY146: $i] :
( ~ ( r1 @ SV10 @ SY146 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY146 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(106,plain,
! [SV4: $i] :
( ( ( ! [SY133: $i] :
( ~ ( r1 @ SV4 @ SY133 )
| ! [SX3: $i] :
( ~ ( r1 @ SY133 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ( p2 @ SY133 ) ) )
= $false )
| ( ( ~ ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(107,plain,
! [SV11: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV11 )
| ! [SY150: $i] :
( ~ ( r1 @ SV11 @ SY150 )
| ( p1 @ SY150 ) ) )
= $true )
| ( ( ~ ! [SY109: $i] :
( ~ ( r1 @ SV2 @ SY109 )
| ( p1 @ SY109 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(108,plain,
! [SV9: $i,SV5: $i,SV1: $i] :
( ( ( ! [SY103: $i] :
( ~ ( r1 @ SV1 @ SY103 )
| ~ ( p1 @ SY103 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV1 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( p1 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(109,plain,
! [SV7: $i] :
( ( ( ! [SY139: $i] :
( ~ ( r1 @ SV7 @ SY139 )
| ! [SX3: $i] :
( ~ ( r1 @ SY139 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) ) )
= $true )
| ( ( ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(110,plain,
! [SV4: $i] :
( ( ( ! [SY111: $i] :
( ~ ( r1 @ SV4 @ SY111 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY111 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(111,plain,
! [SV4: $i] :
( ( ( ! [SY114: $i] :
( ~ ( r1 @ SV4 @ SY114 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SX3 ) ) )
| ~ ( p2 @ SY114 ) )
| ~ ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(112,plain,
! [SV4: $i] :
( ( ( ~ ~ ! [SY120: $i] :
( ~ ( r1 @ SV4 @ SY120 )
| ! [SX3: $i] :
( ~ ( r1 @ SY120 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) ) )
= $true )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(113,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV10 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY144: $i] :
( ~ ( r1 @ SV10 @ SY144 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY144 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SY146: $i] :
( ~ ( r1 @ SV10 @ SY146 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY146 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(114,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK7_SY133 @ SV4 ) )
| ! [SY151: $i] :
( ~ ( r1 @ ( sK7_SY133 @ SV4 ) @ SY151 )
| ( p3 @ SY151 ) )
| ~ ( p2 @ ( sK7_SY133 @ SV4 ) ) )
= $false )
| ( ( ~ ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[106]) ).
thf(115,plain,
! [SV11: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV11 ) )
= $true )
| ( ( ! [SY150: $i] :
( ~ ( r1 @ SV11 @ SY150 )
| ( p1 @ SY150 ) ) )
= $true )
| ( ( ~ ! [SY109: $i] :
( ~ ( r1 @ SV2 @ SY109 )
| ( p1 @ SY109 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(116,plain,
! [SV5: $i,SV9: $i,SV1: $i] :
( ( ( ~ ( r1 @ SV1 @ ( sK8_SY103 @ SV9 @ SV5 @ SV1 ) )
| ~ ( p1 @ ( sK8_SY103 @ SV9 @ SV5 @ SV1 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV1 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( p1 @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[108]) ).
thf(117,plain,
! [SV12: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ SV12 )
| ! [SY152: $i] :
( ~ ( r1 @ SV12 @ SY152 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY152 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(118,plain,
! [SV13: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV13 )
| ~ ! [SY154: $i] :
( ~ ( r1 @ SV13 @ SY154 )
| ! [SX4: $i] :
( ~ ( r1 @ SY154 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SY154 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(119,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV14 )
| ~ ~ ( ~ ~ ( ~ ~ ! [SY156: $i] :
( ~ ( r1 @ SV14 @ SY156 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SY156 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SY156 ) ) )
| ~ ( p2 @ SV14 ) )
| ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(120,plain,
! [SV4: $i] :
( ( ( ~ ! [SY120: $i] :
( ~ ( r1 @ SV4 @ SY120 )
| ! [SX3: $i] :
( ~ ( r1 @ SY120 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) ) )
= $false )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(121,plain,
! [SV10: $i,SV4: $i] :
( ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( ~ ~ ( ~ ! [SY144: $i] :
( ~ ( r1 @ SV10 @ SY144 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY144 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SY146: $i] :
( ~ ( r1 @ SV10 @ SY146 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY146 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(122,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK7_SY133 @ SV4 ) )
| ! [SY151: $i] :
( ~ ( r1 @ ( sK7_SY133 @ SV4 ) @ SY151 )
| ( p3 @ SY151 ) ) )
= $false )
| ( ( ~ ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(123,plain,
! [SV4: $i] :
( ( ( ~ ( p2 @ ( sK7_SY133 @ SV4 ) ) )
= $false )
| ( ( ~ ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(124,plain,
! [SV11: $i,SV2: $i] :
( ( ( r1 @ SV2 @ SV11 )
= $false )
| ( ( ! [SY150: $i] :
( ~ ( r1 @ SV11 @ SY150 )
| ( p1 @ SY150 ) ) )
= $true )
| ( ( ~ ! [SY109: $i] :
( ~ ( r1 @ SV2 @ SY109 )
| ( p1 @ SY109 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(125,plain,
! [SV5: $i,SV9: $i,SV1: $i] :
( ( ( ~ ( r1 @ SV1 @ ( sK8_SY103 @ SV9 @ SV5 @ SV1 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV1 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( p1 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(126,plain,
! [SV1: $i,SV5: $i,SV9: $i] :
( ( ( ~ ( p1 @ ( sK8_SY103 @ SV9 @ SV5 @ SV1 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV1 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( p1 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(127,plain,
! [SV12: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ SV12 ) )
= $true )
| ( ( ! [SY152: $i] :
( ~ ( r1 @ SV12 @ SY152 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY152 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(128,plain,
! [SV13: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV13 ) )
= $true )
| ( ( ~ ! [SY154: $i] :
( ~ ( r1 @ SV13 @ SY154 )
| ! [SX4: $i] :
( ~ ( r1 @ SY154 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SY154 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(129,plain,
! [SV14: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV14 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ! [SY156: $i] :
( ~ ( r1 @ SV14 @ SY156 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SY156 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SY156 ) ) )
| ~ ( p2 @ SV14 ) )
| ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(130,plain,
! [SV4: $i] :
( ( ( ! [SY120: $i] :
( ~ ( r1 @ SV4 @ SY120 )
| ! [SX3: $i] :
( ~ ( r1 @ SY120 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) ) )
= $true )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(131,plain,
! [SV4: $i,SV10: $i] :
( ( ( ~ ( ~ ! [SY144: $i] :
( ~ ( r1 @ SV10 @ SY144 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY144 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SY146: $i] :
( ~ ( r1 @ SV10 @ SY146 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY146 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) ) )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(132,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK7_SY133 @ SV4 ) ) )
= $false )
| ( ( ~ ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(133,plain,
! [SV4: $i] :
( ( ( ! [SY151: $i] :
( ~ ( r1 @ ( sK7_SY133 @ SV4 ) @ SY151 )
| ( p3 @ SY151 ) ) )
= $false )
| ( ( ~ ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(134,plain,
! [SV4: $i] :
( ( ( p2 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( ~ ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(135,plain,
! [SV2: $i,SV15: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV15 )
| ( p1 @ SV15 ) )
= $true )
| ( ( r1 @ SV2 @ SV11 )
= $false )
| ( ( ~ ! [SY109: $i] :
( ~ ( r1 @ SV2 @ SY109 )
| ( p1 @ SY109 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(136,plain,
! [SV5: $i,SV9: $i,SV1: $i] :
( ( ( r1 @ SV1 @ ( sK8_SY103 @ SV9 @ SV5 @ SV1 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV1 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( p1 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(137,plain,
! [SV1: $i,SV5: $i,SV9: $i] :
( ( ( p1 @ ( sK8_SY103 @ SV9 @ SV5 @ SV1 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV1 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( p1 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(138,plain,
! [SV12: $i,SV7: $i] :
( ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( ! [SY152: $i] :
( ~ ( r1 @ SV12 @ SY152 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY152 @ SX4 )
| ~ ( p1 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(139,plain,
! [SV13: $i,SV4: $i] :
( ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( ~ ! [SY154: $i] :
( ~ ( r1 @ SV13 @ SY154 )
| ! [SX4: $i] :
( ~ ( r1 @ SY154 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SY154 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(140,plain,
! [SV14: $i,SV4: $i] :
( ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ! [SY156: $i] :
( ~ ( r1 @ SV14 @ SY156 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SY156 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SY156 ) ) )
| ~ ( p2 @ SV14 ) )
| ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(141,plain,
! [SV16: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV16 )
| ! [SY161: $i] :
( ~ ( r1 @ SV16 @ SY161 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY161 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(142,plain,
! [SV4: $i,SV10: $i] :
( ( ( ~ ! [SY144: $i] :
( ~ ( r1 @ SV10 @ SY144 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY144 @ SX4 )
| ~ ( p2 @ SX4 ) ) )
| ~ ! [SY146: $i] :
( ~ ( r1 @ SV10 @ SY146 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY146 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(143,plain,
! [SV4: $i] :
( ( ( r1 @ SV4 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( ~ ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(144,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ ( sK7_SY133 @ SV4 ) @ ( sK9_SY151 @ SV4 ) )
| ( p3 @ ( sK9_SY151 @ SV4 ) ) )
= $false )
| ( ( ~ ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[133]) ).
thf(145,plain,
! [SV4: $i] :
( ( ( ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $false )
| ( ( p2 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(146,plain,
! [SV2: $i,SV15: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV15 ) )
= $true )
| ( ( p1 @ SV15 )
= $true )
| ( ( r1 @ SV2 @ SV11 )
= $false )
| ( ( ~ ! [SY109: $i] :
( ~ ( r1 @ SV2 @ SY109 )
| ( p1 @ SY109 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(147,plain,
! [SV7: $i,SV17: $i,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ SV17 )
| ~ ! [SY164: $i] :
( ~ ( r1 @ SV17 @ SY164 )
| ~ ( p1 @ SY164 ) ) )
= $true )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(148,plain,
! [SV4: $i,SV13: $i] :
( ( ( ! [SY154: $i] :
( ~ ( r1 @ SV13 @ SY154 )
| ! [SX4: $i] :
( ~ ( r1 @ SY154 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SY154 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(149,plain,
! [SV4: $i,SV14: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ! [SY156: $i] :
( ~ ( r1 @ SV14 @ SY156 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SY156 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SY156 ) ) )
| ~ ( p2 @ SV14 ) )
| ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) ) )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(150,plain,
! [SV16: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV16 ) )
= $true )
| ( ( ! [SY161: $i] :
( ~ ( r1 @ SV16 @ SY161 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY161 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(151,plain,
! [SV4: $i,SV10: $i] :
( ( ( ~ ! [SY144: $i] :
( ~ ( r1 @ SV10 @ SY144 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY144 @ SX4 )
| ~ ( p2 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY146: $i] :
( ~ ( r1 @ SV10 @ SY146 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY146 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(152,plain,
! [SV4: $i] :
( ( ( ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $false )
| ( ( r1 @ SV4 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(153,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ ( sK7_SY133 @ SV4 ) @ ( sK9_SY151 @ SV4 ) ) )
= $false )
| ( ( ~ ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(154,plain,
! [SV4: $i] :
( ( ( p3 @ ( sK9_SY151 @ SV4 ) )
= $false )
| ( ( ~ ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(155,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK10_SY135 @ SV4 ) )
| ~ ! [SY165: $i] :
( ~ ( r1 @ ( sK10_SY135 @ SV4 ) @ SY165 )
| ~ ( p2 @ SY165 ) ) )
= $false )
| ( ( p2 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[145]) ).
thf(156,plain,
! [SV2: $i,SV15: $i,SV11: $i] :
( ( ( r1 @ SV11 @ SV15 )
= $false )
| ( ( p1 @ SV15 )
= $true )
| ( ( r1 @ SV2 @ SV11 )
= $false )
| ( ( ~ ! [SY109: $i] :
( ~ ( r1 @ SV2 @ SY109 )
| ( p1 @ SY109 ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(157,plain,
! [SV7: $i,SV17: $i,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ SV17 ) )
= $true )
| ( ( ~ ! [SY164: $i] :
( ~ ( r1 @ SV17 @ SY164 )
| ~ ( p1 @ SY164 ) ) )
= $true )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(158,plain,
! [SV4: $i,SV13: $i] :
( ( ( ~ ( r1 @ SV13 @ ( sK11_SY154 @ SV4 @ SV13 ) )
| ! [SY166: $i] :
( ~ ( r1 @ ( sK11_SY154 @ SV4 @ SV13 ) @ SY166 )
| ( p3 @ SY166 ) )
| ~ ( p2 @ ( sK11_SY154 @ SV4 @ SV13 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[148]) ).
thf(159,plain,
! [SV4: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY156: $i] :
( ~ ( r1 @ SV14 @ SY156 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SY156 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SY156 ) ) )
| ~ ( p2 @ SV14 ) )
| ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(160,plain,
! [SV16: $i,SV4: $i] :
( ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( ! [SY161: $i] :
( ~ ( r1 @ SV16 @ SY161 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY161 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(161,plain,
! [SV4: $i,SV10: $i] :
( ( ( ! [SY144: $i] :
( ~ ( r1 @ SV10 @ SY144 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY144 @ SX4 )
| ~ ( p2 @ SX4 ) ) ) )
= $false )
| ( ( ~ ! [SY146: $i] :
( ~ ( r1 @ SV10 @ SY146 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY146 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(162,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK12_SY135 @ SV4 ) )
| ~ ! [SY167: $i] :
( ~ ( r1 @ ( sK12_SY135 @ SV4 ) @ SY167 )
| ~ ( p2 @ SY167 ) ) )
= $false )
| ( ( r1 @ SV4 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[152]) ).
thf(163,plain,
! [SV4: $i] :
( ( ( r1 @ ( sK7_SY133 @ SV4 ) @ ( sK9_SY151 @ SV4 ) )
= $true )
| ( ( ~ ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(164,plain,
! [SV4: $i] :
( ( ( ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $false )
| ( ( p3 @ ( sK9_SY151 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(165,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK10_SY135 @ SV4 ) ) )
= $false )
| ( ( p2 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(166,plain,
! [SV4: $i] :
( ( ( ~ ! [SY165: $i] :
( ~ ( r1 @ ( sK10_SY135 @ SV4 ) @ SY165 )
| ~ ( p2 @ SY165 ) ) )
= $false )
| ( ( p2 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(167,plain,
! [SV15: $i,SV11: $i,SV2: $i] :
( ( ( ! [SY109: $i] :
( ~ ( r1 @ SV2 @ SY109 )
| ( p1 @ SY109 ) ) )
= $false )
| ( ( r1 @ SV2 @ SV11 )
= $false )
| ( ( p1 @ SV15 )
= $true )
| ( ( r1 @ SV11 @ SV15 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(168,plain,
! [SV7: $i,SV17: $i,SV12: $i] :
( ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( ~ ! [SY164: $i] :
( ~ ( r1 @ SV17 @ SY164 )
| ~ ( p1 @ SY164 ) ) )
= $true )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(169,plain,
! [SV4: $i,SV13: $i] :
( ( ( ~ ( r1 @ SV13 @ ( sK11_SY154 @ SV4 @ SV13 ) )
| ! [SY166: $i] :
( ~ ( r1 @ ( sK11_SY154 @ SV4 @ SV13 ) @ SY166 )
| ( p3 @ SY166 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(170,plain,
! [SV13: $i,SV4: $i] :
( ( ( ~ ( p2 @ ( sK11_SY154 @ SV4 @ SV13 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(171,plain,
! [SV4: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY156: $i] :
( ~ ( r1 @ SV14 @ SY156 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SY156 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SY156 ) ) )
| ~ ( p2 @ SV14 ) ) )
= $true )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(172,plain,
! [SV4: $i,SV18: $i,SV16: $i] :
( ( ( ~ ( r1 @ SV16 @ SV18 )
| ~ ! [SY168: $i] :
( ~ ( r1 @ SV18 @ SY168 )
| ! [SX5: $i] :
( ~ ( r1 @ SY168 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SY168 ) ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(173,plain,
! [SV4: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
| ~ ! [SY170: $i] :
( ~ ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SY170 )
| ~ ( p2 @ SY170 ) ) )
= $false )
| ( ( ~ ! [SY146: $i] :
( ~ ( r1 @ SV10 @ SY146 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY146 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[161]) ).
thf(174,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK12_SY135 @ SV4 ) ) )
= $false )
| ( ( r1 @ SV4 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(175,plain,
! [SV4: $i] :
( ( ( ~ ! [SY167: $i] :
( ~ ( r1 @ ( sK12_SY135 @ SV4 ) @ SY167 )
| ~ ( p2 @ SY167 ) ) )
= $false )
| ( ( r1 @ SV4 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(176,plain,
! [SV4: $i] :
( ( ( ! [SY135: $i] :
( ~ ( r1 @ SV4 @ SY135 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY135 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $false )
| ( ( r1 @ ( sK7_SY133 @ SV4 ) @ ( sK9_SY151 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(177,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK14_SY135 @ SV4 ) )
| ~ ! [SY171: $i] :
( ~ ( r1 @ ( sK14_SY135 @ SV4 ) @ SY171 )
| ~ ( p2 @ SY171 ) ) )
= $false )
| ( ( p3 @ ( sK9_SY151 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[164]) ).
thf(178,plain,
! [SV4: $i] :
( ( ( r1 @ SV4 @ ( sK10_SY135 @ SV4 ) )
= $true )
| ( ( p2 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(179,plain,
! [SV4: $i] :
( ( ( ! [SY165: $i] :
( ~ ( r1 @ ( sK10_SY135 @ SV4 ) @ SY165 )
| ~ ( p2 @ SY165 ) ) )
= $true )
| ( ( p2 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(180,plain,
! [SV11: $i,SV15: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ ( sK15_SY109 @ SV15 @ SV11 @ SV2 ) )
| ( p1 @ ( sK15_SY109 @ SV15 @ SV11 @ SV2 ) ) )
= $false )
| ( ( r1 @ SV2 @ SV11 )
= $false )
| ( ( p1 @ SV15 )
= $true )
| ( ( r1 @ SV11 @ SV15 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[167]) ).
thf(181,plain,
! [SV7: $i,SV12: $i,SV17: $i] :
( ( ( ! [SY164: $i] :
( ~ ( r1 @ SV17 @ SY164 )
| ~ ( p1 @ SY164 ) ) )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(182,plain,
! [SV4: $i,SV13: $i] :
( ( ( ~ ( r1 @ SV13 @ ( sK11_SY154 @ SV4 @ SV13 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(183,plain,
! [SV13: $i,SV4: $i] :
( ( ( ! [SY166: $i] :
( ~ ( r1 @ ( sK11_SY154 @ SV4 @ SV13 ) @ SY166 )
| ( p3 @ SY166 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(184,plain,
! [SV13: $i,SV4: $i] :
( ( ( p2 @ ( sK11_SY154 @ SV4 @ SV13 ) )
= $true )
| ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(185,plain,
! [SV4: $i,SV14: $i] :
( ( ( ~ ( ~ ~ ! [SY156: $i] :
( ~ ( r1 @ SV14 @ SY156 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SY156 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SY156 ) ) )
| ~ ( p2 @ SV14 ) ) )
= $false )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(186,plain,
! [SV4: $i,SV18: $i,SV16: $i] :
( ( ( ~ ( r1 @ SV16 @ SV18 ) )
= $true )
| ( ( ~ ! [SY168: $i] :
( ~ ( r1 @ SV18 @ SY168 )
| ! [SX5: $i] :
( ~ ( r1 @ SY168 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SY168 ) ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(187,plain,
! [SV4: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) ) )
= $false )
| ( ( ~ ! [SY146: $i] :
( ~ ( r1 @ SV10 @ SY146 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY146 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(188,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ! [SY170: $i] :
( ~ ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SY170 )
| ~ ( p2 @ SY170 ) ) )
= $false )
| ( ( ~ ! [SY146: $i] :
( ~ ( r1 @ SV10 @ SY146 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY146 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(189,plain,
! [SV4: $i] :
( ( ( r1 @ SV4 @ ( sK12_SY135 @ SV4 ) )
= $true )
| ( ( r1 @ SV4 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(190,plain,
! [SV4: $i] :
( ( ( ! [SY167: $i] :
( ~ ( r1 @ ( sK12_SY135 @ SV4 ) @ SY167 )
| ~ ( p2 @ SY167 ) ) )
= $true )
| ( ( r1 @ SV4 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(191,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK16_SY135 @ SV4 ) )
| ~ ! [SY172: $i] :
( ~ ( r1 @ ( sK16_SY135 @ SV4 ) @ SY172 )
| ~ ( p2 @ SY172 ) ) )
= $false )
| ( ( r1 @ ( sK7_SY133 @ SV4 ) @ ( sK9_SY151 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[176]) ).
thf(192,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK14_SY135 @ SV4 ) ) )
= $false )
| ( ( p3 @ ( sK9_SY151 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(193,plain,
! [SV4: $i] :
( ( ( ~ ! [SY171: $i] :
( ~ ( r1 @ ( sK14_SY135 @ SV4 ) @ SY171 )
| ~ ( p2 @ SY171 ) ) )
= $false )
| ( ( p3 @ ( sK9_SY151 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(194,plain,
! [SV19: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK10_SY135 @ SV4 ) @ SV19 )
| ~ ( p2 @ SV19 ) )
= $true )
| ( ( p2 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(195,plain,
! [SV11: $i,SV15: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ ( sK15_SY109 @ SV15 @ SV11 @ SV2 ) ) )
= $false )
| ( ( r1 @ SV2 @ SV11 )
= $false )
| ( ( p1 @ SV15 )
= $true )
| ( ( r1 @ SV11 @ SV15 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[180]) ).
thf(196,plain,
! [SV2: $i,SV11: $i,SV15: $i] :
( ( ( p1 @ ( sK15_SY109 @ SV15 @ SV11 @ SV2 ) )
= $false )
| ( ( r1 @ SV2 @ SV11 )
= $false )
| ( ( p1 @ SV15 )
= $true )
| ( ( r1 @ SV11 @ SV15 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[180]) ).
thf(197,plain,
! [SV12: $i,SV7: $i,SV17: $i] :
( ( ( ~ ( r1 @ SV17 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
| ~ ( p1 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) ) )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[181]) ).
thf(198,plain,
! [SV4: $i,SV13: $i] :
( ( ( r1 @ SV13 @ ( sK11_SY154 @ SV4 @ SV13 ) )
= $true )
| ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(199,plain,
! [SV13: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK11_SY154 @ SV4 @ SV13 ) @ ( sK18_SY166 @ SV13 @ SV4 ) )
| ( p3 @ ( sK18_SY166 @ SV13 @ SV4 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[183]) ).
thf(200,plain,
! [SV4: $i,SV14: $i] :
( ( ( ~ ~ ! [SY156: $i] :
( ~ ( r1 @ SV14 @ SY156 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SY156 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SY156 ) ) )
| ~ ( p2 @ SV14 ) )
= $true )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(201,plain,
! [SV4: $i,SV18: $i,SV16: $i] :
( ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( ~ ! [SY168: $i] :
( ~ ( r1 @ SV18 @ SY168 )
| ! [SX5: $i] :
( ~ ( r1 @ SY168 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SY168 ) ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(202,plain,
! [SV4: $i,SV10: $i] :
( ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( ~ ! [SY146: $i] :
( ~ ( r1 @ SV10 @ SY146 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY146 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(203,plain,
! [SV10: $i,SV4: $i] :
( ( ( ! [SY170: $i] :
( ~ ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SY170 )
| ~ ( p2 @ SY170 ) ) )
= $true )
| ( ( ~ ! [SY146: $i] :
( ~ ( r1 @ SV10 @ SY146 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY146 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(204,plain,
! [SV20: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK12_SY135 @ SV4 ) @ SV20 )
| ~ ( p2 @ SV20 ) )
= $true )
| ( ( r1 @ SV4 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(205,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK16_SY135 @ SV4 ) ) )
= $false )
| ( ( r1 @ ( sK7_SY133 @ SV4 ) @ ( sK9_SY151 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(206,plain,
! [SV4: $i] :
( ( ( ~ ! [SY172: $i] :
( ~ ( r1 @ ( sK16_SY135 @ SV4 ) @ SY172 )
| ~ ( p2 @ SY172 ) ) )
= $false )
| ( ( r1 @ ( sK7_SY133 @ SV4 ) @ ( sK9_SY151 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(207,plain,
! [SV4: $i] :
( ( ( r1 @ SV4 @ ( sK14_SY135 @ SV4 ) )
= $true )
| ( ( p3 @ ( sK9_SY151 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(208,plain,
! [SV4: $i] :
( ( ( ! [SY171: $i] :
( ~ ( r1 @ ( sK14_SY135 @ SV4 ) @ SY171 )
| ~ ( p2 @ SY171 ) ) )
= $true )
| ( ( p3 @ ( sK9_SY151 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(209,plain,
! [SV19: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK10_SY135 @ SV4 ) @ SV19 ) )
= $true )
| ( ( ~ ( p2 @ SV19 ) )
= $true )
| ( ( p2 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(210,plain,
! [SV11: $i,SV15: $i,SV2: $i] :
( ( ( r1 @ SV2 @ ( sK15_SY109 @ SV15 @ SV11 @ SV2 ) )
= $true )
| ( ( r1 @ SV2 @ SV11 )
= $false )
| ( ( p1 @ SV15 )
= $true )
| ( ( r1 @ SV11 @ SV15 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(211,plain,
! [SV12: $i,SV7: $i,SV17: $i] :
( ( ( ~ ( r1 @ SV17 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) ) )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(212,plain,
! [SV17: $i,SV12: $i,SV7: $i] :
( ( ( ~ ( p1 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) ) )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(213,plain,
! [SV13: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK11_SY154 @ SV4 @ SV13 ) @ ( sK18_SY166 @ SV13 @ SV4 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(214,plain,
! [SV4: $i,SV13: $i] :
( ( ( p3 @ ( sK18_SY166 @ SV13 @ SV4 ) )
= $false )
| ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(215,plain,
! [SV4: $i,SV14: $i] :
( ( ( ~ ~ ! [SY156: $i] :
( ~ ( r1 @ SV14 @ SY156 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SY156 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SY156 ) ) ) )
= $true )
| ( ( ~ ( p2 @ SV14 ) )
= $true )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(216,plain,
! [SV4: $i,SV16: $i,SV18: $i] :
( ( ( ! [SY168: $i] :
( ~ ( r1 @ SV18 @ SY168 )
| ! [SX5: $i] :
( ~ ( r1 @ SY168 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ( p2 @ SY168 ) ) )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(217,plain,
! [SV4: $i,SV10: $i] :
( ( ( ! [SY146: $i] :
( ~ ( r1 @ SV10 @ SY146 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY146 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) )
= $false )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(218,plain,
! [SV21: $i,SV10: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
| ~ ( p2 @ SV21 ) )
= $true )
| ( ( ~ ! [SY146: $i] :
( ~ ( r1 @ SV10 @ SY146 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY146 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(219,plain,
! [SV20: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK12_SY135 @ SV4 ) @ SV20 ) )
= $true )
| ( ( ~ ( p2 @ SV20 ) )
= $true )
| ( ( r1 @ SV4 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(220,plain,
! [SV4: $i] :
( ( ( r1 @ SV4 @ ( sK16_SY135 @ SV4 ) )
= $true )
| ( ( r1 @ ( sK7_SY133 @ SV4 ) @ ( sK9_SY151 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(221,plain,
! [SV4: $i] :
( ( ( ! [SY172: $i] :
( ~ ( r1 @ ( sK16_SY135 @ SV4 ) @ SY172 )
| ~ ( p2 @ SY172 ) ) )
= $true )
| ( ( r1 @ ( sK7_SY133 @ SV4 ) @ ( sK9_SY151 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(222,plain,
! [SV22: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK14_SY135 @ SV4 ) @ SV22 )
| ~ ( p2 @ SV22 ) )
= $true )
| ( ( p3 @ ( sK9_SY151 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(223,plain,
! [SV19: $i,SV4: $i] :
( ( ( r1 @ ( sK10_SY135 @ SV4 ) @ SV19 )
= $false )
| ( ( ~ ( p2 @ SV19 ) )
= $true )
| ( ( p2 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(224,plain,
! [SV12: $i,SV7: $i,SV17: $i] :
( ( ( r1 @ SV17 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(225,plain,
! [SV17: $i,SV12: $i,SV7: $i] :
( ( ( p1 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( ~ ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(226,plain,
! [SV13: $i,SV4: $i] :
( ( ( r1 @ ( sK11_SY154 @ SV4 @ SV13 ) @ ( sK18_SY166 @ SV13 @ SV4 ) )
= $true )
| ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(227,plain,
! [SV4: $i,SV14: $i] :
( ( ( ~ ! [SY156: $i] :
( ~ ( r1 @ SV14 @ SY156 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SY156 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SY156 ) ) ) )
= $false )
| ( ( ~ ( p2 @ SV14 ) )
= $true )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(228,plain,
! [SV16: $i,SV4: $i,SV18: $i] :
( ( ( ~ ( r1 @ SV18 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
| ! [SY173: $i] :
( ~ ( r1 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) @ SY173 )
| ( p3 @ SY173 ) )
| ~ ( p2 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) ) )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[216]) ).
thf(229,plain,
! [SV4: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ ( sK20_SY146 @ SV4 @ SV10 ) )
| ~ ! [SY174: $i] :
( ~ ( r1 @ ( sK20_SY146 @ SV4 @ SV10 ) @ SY174 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY174 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) )
= $false )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[217]) ).
thf(230,plain,
! [SV21: $i,SV10: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 ) )
= $true )
| ( ( ~ ( p2 @ SV21 ) )
= $true )
| ( ( ~ ! [SY146: $i] :
( ~ ( r1 @ SV10 @ SY146 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY146 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(231,plain,
! [SV20: $i,SV4: $i] :
( ( ( r1 @ ( sK12_SY135 @ SV4 ) @ SV20 )
= $false )
| ( ( ~ ( p2 @ SV20 ) )
= $true )
| ( ( r1 @ SV4 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(232,plain,
! [SV23: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK16_SY135 @ SV4 ) @ SV23 )
| ~ ( p2 @ SV23 ) )
= $true )
| ( ( r1 @ ( sK7_SY133 @ SV4 ) @ ( sK9_SY151 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(233,plain,
! [SV22: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK14_SY135 @ SV4 ) @ SV22 ) )
= $true )
| ( ( ~ ( p2 @ SV22 ) )
= $true )
| ( ( p3 @ ( sK9_SY151 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(234,plain,
! [SV4: $i,SV19: $i] :
( ( ( p2 @ SV19 )
= $false )
| ( ( r1 @ ( sK10_SY135 @ SV4 ) @ SV19 )
= $false )
| ( ( p2 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(235,plain,
! [SV17: $i,SV12: $i,SV7: $i] :
( ( ( ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $false )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( r1 @ SV17 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(236,plain,
! [SV17: $i,SV12: $i,SV7: $i] :
( ( ( ! [SY142: $i] :
( ~ ( r1 @ SV7 @ SY142 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY142 @ SX3 )
| ~ ( p1 @ SX3 ) ) ) )
= $false )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( p1 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(237,plain,
! [SV4: $i,SV14: $i] :
( ( ( ! [SY156: $i] :
( ~ ( r1 @ SV14 @ SY156 )
| ~ ( ! [SX4: $i] :
( ~ ( r1 @ SY156 @ SX4 )
| ( p3 @ SX4 ) )
| ~ ( p2 @ SY156 ) ) ) )
= $true )
| ( ( ~ ( p2 @ SV14 ) )
= $true )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(238,plain,
! [SV16: $i,SV4: $i,SV18: $i] :
( ( ( ~ ( r1 @ SV18 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
| ! [SY173: $i] :
( ~ ( r1 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) @ SY173 )
| ( p3 @ SY173 ) ) )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(239,plain,
! [SV18: $i,SV16: $i,SV4: $i] :
( ( ( ~ ( p2 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) ) )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(240,plain,
! [SV4: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ ( sK20_SY146 @ SV4 @ SV10 ) ) )
= $false )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(241,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ! [SY174: $i] :
( ~ ( r1 @ ( sK20_SY146 @ SV4 @ SV10 ) @ SY174 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY174 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) )
= $false )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(242,plain,
! [SV21: $i,SV10: $i,SV4: $i] :
( ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( ~ ( p2 @ SV21 ) )
= $true )
| ( ( ~ ! [SY146: $i] :
( ~ ( r1 @ SV10 @ SY146 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY146 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(243,plain,
! [SV4: $i,SV20: $i] :
( ( ( p2 @ SV20 )
= $false )
| ( ( r1 @ ( sK12_SY135 @ SV4 ) @ SV20 )
= $false )
| ( ( r1 @ SV4 @ ( sK7_SY133 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(244,plain,
! [SV23: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK16_SY135 @ SV4 ) @ SV23 ) )
= $true )
| ( ( ~ ( p2 @ SV23 ) )
= $true )
| ( ( r1 @ ( sK7_SY133 @ SV4 ) @ ( sK9_SY151 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(245,plain,
! [SV22: $i,SV4: $i] :
( ( ( r1 @ ( sK14_SY135 @ SV4 ) @ SV22 )
= $false )
| ( ( ~ ( p2 @ SV22 ) )
= $true )
| ( ( p3 @ ( sK9_SY151 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(246,plain,
! [SV12: $i,SV17: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ ( sK21_SY142 @ SV17 @ SV12 @ SV7 ) )
| ~ ! [SY177: $i] :
( ~ ( r1 @ ( sK21_SY142 @ SV17 @ SV12 @ SV7 ) @ SY177 )
| ~ ( p1 @ SY177 ) ) )
= $false )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( r1 @ SV17 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[235]) ).
thf(247,plain,
! [SV12: $i,SV17: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ ( sK22_SY142 @ SV17 @ SV12 @ SV7 ) )
| ~ ! [SY178: $i] :
( ~ ( r1 @ ( sK22_SY142 @ SV17 @ SV12 @ SV7 ) @ SY178 )
| ~ ( p1 @ SY178 ) ) )
= $false )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( p1 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[236]) ).
thf(248,plain,
! [SV4: $i,SV24: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV24 )
| ~ ( ! [SY179: $i] :
( ~ ( r1 @ SV24 @ SY179 )
| ( p3 @ SY179 ) )
| ~ ( p2 @ SV24 ) ) )
= $true )
| ( ( ~ ( p2 @ SV14 ) )
= $true )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(249,plain,
! [SV16: $i,SV4: $i,SV18: $i] :
( ( ( ~ ( r1 @ SV18 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) ) )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(250,plain,
! [SV18: $i,SV16: $i,SV4: $i] :
( ( ( ! [SY173: $i] :
( ~ ( r1 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) @ SY173 )
| ( p3 @ SY173 ) ) )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(251,plain,
! [SV18: $i,SV16: $i,SV4: $i] :
( ( ( p2 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(252,plain,
! [SV4: $i,SV10: $i] :
( ( ( r1 @ SV10 @ ( sK20_SY146 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(253,plain,
! [SV10: $i,SV4: $i] :
( ( ( ! [SY174: $i] :
( ~ ( r1 @ ( sK20_SY146 @ SV4 @ SV10 ) @ SY174 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY174 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) )
= $true )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(254,plain,
! [SV10: $i,SV4: $i,SV21: $i] :
( ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( ~ ! [SY146: $i] :
( ~ ( r1 @ SV10 @ SY146 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY146 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(255,plain,
! [SV23: $i,SV4: $i] :
( ( ( r1 @ ( sK16_SY135 @ SV4 ) @ SV23 )
= $false )
| ( ( ~ ( p2 @ SV23 ) )
= $true )
| ( ( r1 @ ( sK7_SY133 @ SV4 ) @ ( sK9_SY151 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(256,plain,
! [SV4: $i,SV22: $i] :
( ( ( p2 @ SV22 )
= $false )
| ( ( r1 @ ( sK14_SY135 @ SV4 ) @ SV22 )
= $false )
| ( ( p3 @ ( sK9_SY151 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(257,plain,
! [SV12: $i,SV17: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ ( sK21_SY142 @ SV17 @ SV12 @ SV7 ) ) )
= $false )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( r1 @ SV17 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(258,plain,
! [SV7: $i,SV12: $i,SV17: $i] :
( ( ( ~ ! [SY177: $i] :
( ~ ( r1 @ ( sK21_SY142 @ SV17 @ SV12 @ SV7 ) @ SY177 )
| ~ ( p1 @ SY177 ) ) )
= $false )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( r1 @ SV17 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(259,plain,
! [SV12: $i,SV17: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ ( sK22_SY142 @ SV17 @ SV12 @ SV7 ) ) )
= $false )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( p1 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[247]) ).
thf(260,plain,
! [SV7: $i,SV12: $i,SV17: $i] :
( ( ( ~ ! [SY178: $i] :
( ~ ( r1 @ ( sK22_SY142 @ SV17 @ SV12 @ SV7 ) @ SY178 )
| ~ ( p1 @ SY178 ) ) )
= $false )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( p1 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[247]) ).
thf(261,plain,
! [SV4: $i,SV24: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV24 ) )
= $true )
| ( ( ~ ( ! [SY179: $i] :
( ~ ( r1 @ SV24 @ SY179 )
| ( p3 @ SY179 ) )
| ~ ( p2 @ SV24 ) ) )
= $true )
| ( ( ~ ( p2 @ SV14 ) )
= $true )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(262,plain,
! [SV16: $i,SV4: $i,SV18: $i] :
( ( ( r1 @ SV18 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(263,plain,
! [SV18: $i,SV16: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
| ( p3 @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) ) )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[250]) ).
thf(264,plain,
! [SV18: $i,SV16: $i,SV4: $i] :
( ( ( ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p2 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(265,plain,
! [SV25: $i,SV10: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK20_SY146 @ SV4 @ SV10 ) @ SV25 )
| ~ ! [SY180: $i] :
( ~ ( r1 @ SV25 @ SY180 )
| ! [SX6: $i] :
( ~ ( r1 @ SY180 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SY180 ) ) )
= $true )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(266,plain,
! [SV21: $i,SV4: $i,SV10: $i] :
( ( ( ! [SY146: $i] :
( ~ ( r1 @ SV10 @ SY146 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY146 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) ) )
= $false )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(267,plain,
! [SV4: $i,SV23: $i] :
( ( ( p2 @ SV23 )
= $false )
| ( ( r1 @ ( sK16_SY135 @ SV4 ) @ SV23 )
= $false )
| ( ( r1 @ ( sK7_SY133 @ SV4 ) @ ( sK9_SY151 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(268,plain,
! [SV12: $i,SV17: $i,SV7: $i] :
( ( ( r1 @ SV7 @ ( sK21_SY142 @ SV17 @ SV12 @ SV7 ) )
= $true )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( r1 @ SV17 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(269,plain,
! [SV7: $i,SV12: $i,SV17: $i] :
( ( ( ! [SY177: $i] :
( ~ ( r1 @ ( sK21_SY142 @ SV17 @ SV12 @ SV7 ) @ SY177 )
| ~ ( p1 @ SY177 ) ) )
= $true )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( r1 @ SV17 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(270,plain,
! [SV12: $i,SV17: $i,SV7: $i] :
( ( ( r1 @ SV7 @ ( sK22_SY142 @ SV17 @ SV12 @ SV7 ) )
= $true )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( p1 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(271,plain,
! [SV7: $i,SV12: $i,SV17: $i] :
( ( ( ! [SY178: $i] :
( ~ ( r1 @ ( sK22_SY142 @ SV17 @ SV12 @ SV7 ) @ SY178 )
| ~ ( p1 @ SY178 ) ) )
= $true )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( p1 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(272,plain,
! [SV4: $i,SV24: $i,SV14: $i] :
( ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( ~ ( ! [SY179: $i] :
( ~ ( r1 @ SV24 @ SY179 )
| ( p3 @ SY179 ) )
| ~ ( p2 @ SV24 ) ) )
= $true )
| ( ( ~ ( p2 @ SV14 ) )
= $true )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(273,plain,
! [SV18: $i,SV16: $i,SV4: $i] :
( ( ( ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV18 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(274,plain,
! [SV18: $i,SV16: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) ) )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(275,plain,
! [SV4: $i,SV16: $i,SV18: $i] :
( ( ( p3 @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(276,plain,
! [SV16: $i,SV18: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK24_SY124 @ SV18 @ SV16 @ SV4 ) )
| ~ ! [SY182: $i] :
( ~ ( r1 @ ( sK24_SY124 @ SV18 @ SV16 @ SV4 ) @ SY182 )
| ~ ( p2 @ SY182 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p2 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[264]) ).
thf(277,plain,
! [SV25: $i,SV10: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK20_SY146 @ SV4 @ SV10 ) @ SV25 ) )
= $true )
| ( ( ~ ! [SY180: $i] :
( ~ ( r1 @ SV25 @ SY180 )
| ! [SX6: $i] :
( ~ ( r1 @ SY180 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SY180 ) ) )
= $true )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(278,plain,
! [SV4: $i,SV21: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) )
| ~ ! [SY183: $i] :
( ~ ( r1 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) @ SY183 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY183 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) )
= $false )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[266]) ).
thf(279,plain,
! [SV26: $i,SV7: $i,SV12: $i,SV17: $i] :
( ( ( ~ ( r1 @ ( sK21_SY142 @ SV17 @ SV12 @ SV7 ) @ SV26 )
| ~ ( p1 @ SV26 ) )
= $true )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( r1 @ SV17 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(280,plain,
! [SV27: $i,SV7: $i,SV12: $i,SV17: $i] :
( ( ( ~ ( r1 @ ( sK22_SY142 @ SV17 @ SV12 @ SV7 ) @ SV27 )
| ~ ( p1 @ SV27 ) )
= $true )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( p1 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(281,plain,
! [SV4: $i,SV14: $i,SV24: $i] :
( ( ( ! [SY179: $i] :
( ~ ( r1 @ SV24 @ SY179 )
| ( p3 @ SY179 ) )
| ~ ( p2 @ SV24 ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( ~ ( p2 @ SV14 ) )
= $true )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(282,plain,
! [SV16: $i,SV18: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK26_SY124 @ SV18 @ SV16 @ SV4 ) )
| ~ ! [SY186: $i] :
( ~ ( r1 @ ( sK26_SY124 @ SV18 @ SV16 @ SV4 ) @ SY186 )
| ~ ( p2 @ SY186 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV18 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[273]) ).
thf(283,plain,
! [SV18: $i,SV16: $i,SV4: $i] :
( ( ( r1 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $true )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( ~ ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(284,plain,
! [SV18: $i,SV16: $i,SV4: $i] :
( ( ( ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p3 @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(285,plain,
! [SV16: $i,SV18: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK24_SY124 @ SV18 @ SV16 @ SV4 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p2 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(286,plain,
! [SV4: $i,SV16: $i,SV18: $i] :
( ( ( ~ ! [SY182: $i] :
( ~ ( r1 @ ( sK24_SY124 @ SV18 @ SV16 @ SV4 ) @ SY182 )
| ~ ( p2 @ SY182 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p2 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(287,plain,
! [SV25: $i,SV10: $i,SV4: $i] :
( ( ( r1 @ ( sK20_SY146 @ SV4 @ SV10 ) @ SV25 )
= $false )
| ( ( ~ ! [SY180: $i] :
( ~ ( r1 @ SV25 @ SY180 )
| ! [SX6: $i] :
( ~ ( r1 @ SY180 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SY180 ) ) )
= $true )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(288,plain,
! [SV4: $i,SV21: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) ) )
= $false )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(289,plain,
! [SV10: $i,SV4: $i,SV21: $i] :
( ( ( ~ ! [SY183: $i] :
( ~ ( r1 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) @ SY183 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY183 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) )
= $false )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(290,plain,
! [SV26: $i,SV7: $i,SV12: $i,SV17: $i] :
( ( ( ~ ( r1 @ ( sK21_SY142 @ SV17 @ SV12 @ SV7 ) @ SV26 ) )
= $true )
| ( ( ~ ( p1 @ SV26 ) )
= $true )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( r1 @ SV17 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(291,plain,
! [SV27: $i,SV7: $i,SV12: $i,SV17: $i] :
( ( ( ~ ( r1 @ ( sK22_SY142 @ SV17 @ SV12 @ SV7 ) @ SV27 ) )
= $true )
| ( ( ~ ( p1 @ SV27 ) )
= $true )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( p1 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(292,plain,
! [SV4: $i,SV14: $i,SV24: $i] :
( ( ( ! [SY179: $i] :
( ~ ( r1 @ SV24 @ SY179 )
| ( p3 @ SY179 ) ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( ~ ( p2 @ SV14 ) )
= $true )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(293,plain,
! [SV4: $i,SV14: $i,SV24: $i] :
( ( ( ~ ( p2 @ SV24 ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( ~ ( p2 @ SV14 ) )
= $true )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(294,plain,
! [SV16: $i,SV18: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK26_SY124 @ SV18 @ SV16 @ SV4 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV18 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(295,plain,
! [SV4: $i,SV16: $i,SV18: $i] :
( ( ( ~ ! [SY186: $i] :
( ~ ( r1 @ ( sK26_SY124 @ SV18 @ SV16 @ SV4 ) @ SY186 )
| ~ ( p2 @ SY186 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV18 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(296,plain,
! [SV18: $i,SV16: $i,SV4: $i] :
( ( ( ! [SY124: $i] :
( ~ ( r1 @ SV4 @ SY124 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY124 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(297,plain,
! [SV16: $i,SV18: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK27_SY124 @ SV18 @ SV16 @ SV4 ) )
| ~ ! [SY187: $i] :
( ~ ( r1 @ ( sK27_SY124 @ SV18 @ SV16 @ SV4 ) @ SY187 )
| ~ ( p2 @ SY187 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p3 @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[284]) ).
thf(298,plain,
! [SV16: $i,SV18: $i,SV4: $i] :
( ( ( r1 @ SV4 @ ( sK24_SY124 @ SV18 @ SV16 @ SV4 ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p2 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(299,plain,
! [SV4: $i,SV16: $i,SV18: $i] :
( ( ( ! [SY182: $i] :
( ~ ( r1 @ ( sK24_SY124 @ SV18 @ SV16 @ SV4 ) @ SY182 )
| ~ ( p2 @ SY182 ) ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p2 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(300,plain,
! [SV10: $i,SV4: $i,SV25: $i] :
( ( ( ! [SY180: $i] :
( ~ ( r1 @ SV25 @ SY180 )
| ! [SX6: $i] :
( ~ ( r1 @ SY180 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SY180 ) ) )
= $false )
| ( ( r1 @ ( sK20_SY146 @ SV4 @ SV10 ) @ SV25 )
= $false )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(301,plain,
! [SV4: $i,SV21: $i,SV10: $i] :
( ( ( r1 @ SV10 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(302,plain,
! [SV10: $i,SV4: $i,SV21: $i] :
( ( ( ! [SY183: $i] :
( ~ ( r1 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) @ SY183 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY183 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SX5 ) ) ) )
= $true )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(303,plain,
! [SV26: $i,SV7: $i,SV12: $i,SV17: $i] :
( ( ( r1 @ ( sK21_SY142 @ SV17 @ SV12 @ SV7 ) @ SV26 )
= $false )
| ( ( ~ ( p1 @ SV26 ) )
= $true )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( r1 @ SV17 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(304,plain,
! [SV27: $i,SV7: $i,SV12: $i,SV17: $i] :
( ( ( r1 @ ( sK22_SY142 @ SV17 @ SV12 @ SV7 ) @ SV27 )
= $false )
| ( ( ~ ( p1 @ SV27 ) )
= $true )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( p1 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(305,plain,
! [SV14: $i,SV4: $i,SV24: $i] :
( ( ( ~ ( r1 @ SV24 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
| ( p3 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( ~ ( p2 @ SV14 ) )
= $true )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[292]) ).
thf(306,plain,
! [SV4: $i,SV14: $i,SV24: $i] :
( ( ( p2 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( ~ ( p2 @ SV14 ) )
= $true )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(307,plain,
! [SV16: $i,SV18: $i,SV4: $i] :
( ( ( r1 @ SV4 @ ( sK26_SY124 @ SV18 @ SV16 @ SV4 ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV18 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(308,plain,
! [SV4: $i,SV16: $i,SV18: $i] :
( ( ( ! [SY186: $i] :
( ~ ( r1 @ ( sK26_SY124 @ SV18 @ SV16 @ SV4 ) @ SY186 )
| ~ ( p2 @ SY186 ) ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV18 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(309,plain,
! [SV16: $i,SV18: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK29_SY124 @ SV18 @ SV16 @ SV4 ) )
| ~ ! [SY188: $i] :
( ~ ( r1 @ ( sK29_SY124 @ SV18 @ SV16 @ SV4 ) @ SY188 )
| ~ ( p2 @ SY188 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[296]) ).
thf(310,plain,
! [SV16: $i,SV18: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK27_SY124 @ SV18 @ SV16 @ SV4 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p3 @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(311,plain,
! [SV4: $i,SV16: $i,SV18: $i] :
( ( ( ~ ! [SY187: $i] :
( ~ ( r1 @ ( sK27_SY124 @ SV18 @ SV16 @ SV4 ) @ SY187 )
| ~ ( p2 @ SY187 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p3 @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(312,plain,
! [SV28: $i,SV4: $i,SV16: $i,SV18: $i] :
( ( ( ~ ( r1 @ ( sK24_SY124 @ SV18 @ SV16 @ SV4 ) @ SV28 )
| ~ ( p2 @ SV28 ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p2 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(313,plain,
! [SV4: $i,SV10: $i,SV25: $i] :
( ( ( ~ ( r1 @ SV25 @ ( sK30_SY180 @ SV10 @ SV4 @ SV25 ) )
| ! [SY189: $i] :
( ~ ( r1 @ ( sK30_SY180 @ SV10 @ SV4 @ SV25 ) @ SY189 )
| ( p3 @ SY189 ) )
| ~ ( p2 @ ( sK30_SY180 @ SV10 @ SV4 @ SV25 ) ) )
= $false )
| ( ( r1 @ ( sK20_SY146 @ SV4 @ SV10 ) @ SV25 )
= $false )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[300]) ).
thf(314,plain,
! [SV29: $i,SV10: $i,SV4: $i,SV21: $i] :
( ( ( ~ ( r1 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) @ SV29 )
| ~ ! [SY190: $i] :
( ~ ( r1 @ SV29 @ SY190 )
| ! [SX6: $i] :
( ~ ( r1 @ SY190 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SY190 ) ) )
= $true )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(315,plain,
! [SV7: $i,SV12: $i,SV17: $i,SV26: $i] :
( ( ( p1 @ SV26 )
= $false )
| ( ( r1 @ ( sK21_SY142 @ SV17 @ SV12 @ SV7 ) @ SV26 )
= $false )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( r1 @ SV17 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(316,plain,
! [SV7: $i,SV12: $i,SV17: $i,SV27: $i] :
( ( ( p1 @ SV27 )
= $false )
| ( ( r1 @ ( sK22_SY142 @ SV17 @ SV12 @ SV7 ) @ SV27 )
= $false )
| ( ( r1 @ SV7 @ SV12 )
= $false )
| ( ( r1 @ SV12 @ SV17 )
= $false )
| ( ( p1 @ ( sK17_SY164 @ SV7 @ SV12 @ SV17 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(317,plain,
! [SV14: $i,SV4: $i,SV24: $i] :
( ( ( ~ ( r1 @ SV24 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( ~ ( p2 @ SV14 ) )
= $true )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[305]) ).
thf(318,plain,
! [SV24: $i,SV14: $i,SV4: $i] :
( ( ( p3 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( ~ ( p2 @ SV14 ) )
= $true )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[305]) ).
thf(319,plain,
! [SV4: $i,SV24: $i,SV14: $i] :
( ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV24 )
= $true )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(320,plain,
! [SV30: $i,SV4: $i,SV16: $i,SV18: $i] :
( ( ( ~ ( r1 @ ( sK26_SY124 @ SV18 @ SV16 @ SV4 ) @ SV30 )
| ~ ( p2 @ SV30 ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV18 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(321,plain,
! [SV16: $i,SV18: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK29_SY124 @ SV18 @ SV16 @ SV4 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(322,plain,
! [SV4: $i,SV16: $i,SV18: $i] :
( ( ( ~ ! [SY188: $i] :
( ~ ( r1 @ ( sK29_SY124 @ SV18 @ SV16 @ SV4 ) @ SY188 )
| ~ ( p2 @ SY188 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(323,plain,
! [SV16: $i,SV18: $i,SV4: $i] :
( ( ( r1 @ SV4 @ ( sK27_SY124 @ SV18 @ SV16 @ SV4 ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p3 @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(324,plain,
! [SV4: $i,SV16: $i,SV18: $i] :
( ( ( ! [SY187: $i] :
( ~ ( r1 @ ( sK27_SY124 @ SV18 @ SV16 @ SV4 ) @ SY187 )
| ~ ( p2 @ SY187 ) ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p3 @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(325,plain,
! [SV28: $i,SV4: $i,SV16: $i,SV18: $i] :
( ( ( ~ ( r1 @ ( sK24_SY124 @ SV18 @ SV16 @ SV4 ) @ SV28 ) )
= $true )
| ( ( ~ ( p2 @ SV28 ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p2 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(326,plain,
! [SV4: $i,SV10: $i,SV25: $i] :
( ( ( ~ ( r1 @ SV25 @ ( sK30_SY180 @ SV10 @ SV4 @ SV25 ) )
| ! [SY189: $i] :
( ~ ( r1 @ ( sK30_SY180 @ SV10 @ SV4 @ SV25 ) @ SY189 )
| ( p3 @ SY189 ) ) )
= $false )
| ( ( r1 @ ( sK20_SY146 @ SV4 @ SV10 ) @ SV25 )
= $false )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(327,plain,
! [SV25: $i,SV4: $i,SV10: $i] :
( ( ( ~ ( p2 @ ( sK30_SY180 @ SV10 @ SV4 @ SV25 ) ) )
= $false )
| ( ( r1 @ ( sK20_SY146 @ SV4 @ SV10 ) @ SV25 )
= $false )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(328,plain,
! [SV29: $i,SV10: $i,SV4: $i,SV21: $i] :
( ( ( ~ ( r1 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) @ SV29 ) )
= $true )
| ( ( ~ ! [SY190: $i] :
( ~ ( r1 @ SV29 @ SY190 )
| ! [SX6: $i] :
( ~ ( r1 @ SY190 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SY190 ) ) )
= $true )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(329,plain,
! [SV14: $i,SV4: $i,SV24: $i] :
( ( ( r1 @ SV24 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( ~ ( p2 @ SV14 ) )
= $true )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(330,plain,
! [SV4: $i,SV24: $i,SV14: $i] :
( ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p3 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $false )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(331,plain,
! [SV4: $i,SV24: $i,SV14: $i] :
( ( ( ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $false )
| ( ( p2 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(332,plain,
! [SV30: $i,SV4: $i,SV16: $i,SV18: $i] :
( ( ( ~ ( r1 @ ( sK26_SY124 @ SV18 @ SV16 @ SV4 ) @ SV30 ) )
= $true )
| ( ( ~ ( p2 @ SV30 ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV18 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(333,plain,
! [SV16: $i,SV18: $i,SV4: $i] :
( ( ( r1 @ SV4 @ ( sK29_SY124 @ SV18 @ SV16 @ SV4 ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(334,plain,
! [SV4: $i,SV16: $i,SV18: $i] :
( ( ( ! [SY188: $i] :
( ~ ( r1 @ ( sK29_SY124 @ SV18 @ SV16 @ SV4 ) @ SY188 )
| ~ ( p2 @ SY188 ) ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(335,plain,
! [SV31: $i,SV4: $i,SV16: $i,SV18: $i] :
( ( ( ~ ( r1 @ ( sK27_SY124 @ SV18 @ SV16 @ SV4 ) @ SV31 )
| ~ ( p2 @ SV31 ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p3 @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(336,plain,
! [SV28: $i,SV4: $i,SV16: $i,SV18: $i] :
( ( ( r1 @ ( sK24_SY124 @ SV18 @ SV16 @ SV4 ) @ SV28 )
= $false )
| ( ( ~ ( p2 @ SV28 ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p2 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(337,plain,
! [SV4: $i,SV10: $i,SV25: $i] :
( ( ( ~ ( r1 @ SV25 @ ( sK30_SY180 @ SV10 @ SV4 @ SV25 ) ) )
= $false )
| ( ( r1 @ ( sK20_SY146 @ SV4 @ SV10 ) @ SV25 )
= $false )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(338,plain,
! [SV25: $i,SV4: $i,SV10: $i] :
( ( ( ! [SY189: $i] :
( ~ ( r1 @ ( sK30_SY180 @ SV10 @ SV4 @ SV25 ) @ SY189 )
| ( p3 @ SY189 ) ) )
= $false )
| ( ( r1 @ ( sK20_SY146 @ SV4 @ SV10 ) @ SV25 )
= $false )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(339,plain,
! [SV25: $i,SV4: $i,SV10: $i] :
( ( ( p2 @ ( sK30_SY180 @ SV10 @ SV4 @ SV25 ) )
= $true )
| ( ( r1 @ ( sK20_SY146 @ SV4 @ SV10 ) @ SV25 )
= $false )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(340,plain,
! [SV29: $i,SV10: $i,SV4: $i,SV21: $i] :
( ( ( r1 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) @ SV29 )
= $false )
| ( ( ~ ! [SY190: $i] :
( ~ ( r1 @ SV29 @ SY190 )
| ! [SX6: $i] :
( ~ ( r1 @ SY190 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SY190 ) ) )
= $true )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(341,plain,
! [SV4: $i,SV24: $i,SV14: $i] :
( ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( r1 @ SV24 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $true )
| ( ( ~ ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(342,plain,
! [SV24: $i,SV4: $i,SV14: $i] :
( ( ( ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $false )
| ( ( p3 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(343,plain,
! [SV4: $i,SV24: $i,SV14: $i] :
( ( ( ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( p2 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(344,plain,
! [SV30: $i,SV4: $i,SV16: $i,SV18: $i] :
( ( ( r1 @ ( sK26_SY124 @ SV18 @ SV16 @ SV4 ) @ SV30 )
= $false )
| ( ( ~ ( p2 @ SV30 ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV18 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(345,plain,
! [SV32: $i,SV4: $i,SV16: $i,SV18: $i] :
( ( ( ~ ( r1 @ ( sK29_SY124 @ SV18 @ SV16 @ SV4 ) @ SV32 )
| ~ ( p2 @ SV32 ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(346,plain,
! [SV31: $i,SV4: $i,SV16: $i,SV18: $i] :
( ( ( ~ ( r1 @ ( sK27_SY124 @ SV18 @ SV16 @ SV4 ) @ SV31 ) )
= $true )
| ( ( ~ ( p2 @ SV31 ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p3 @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(347,plain,
! [SV4: $i,SV16: $i,SV18: $i,SV28: $i] :
( ( ( p2 @ SV28 )
= $false )
| ( ( r1 @ ( sK24_SY124 @ SV18 @ SV16 @ SV4 ) @ SV28 )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p2 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(348,plain,
! [SV4: $i,SV10: $i,SV25: $i] :
( ( ( r1 @ SV25 @ ( sK30_SY180 @ SV10 @ SV4 @ SV25 ) )
= $true )
| ( ( r1 @ ( sK20_SY146 @ SV4 @ SV10 ) @ SV25 )
= $false )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(349,plain,
! [SV25: $i,SV4: $i,SV10: $i] :
( ( ( ~ ( r1 @ ( sK30_SY180 @ SV10 @ SV4 @ SV25 ) @ ( sK31_SY189 @ SV25 @ SV4 @ SV10 ) )
| ( p3 @ ( sK31_SY189 @ SV25 @ SV4 @ SV10 ) ) )
= $false )
| ( ( r1 @ ( sK20_SY146 @ SV4 @ SV10 ) @ SV25 )
= $false )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[338]) ).
thf(350,plain,
! [SV10: $i,SV4: $i,SV21: $i,SV29: $i] :
( ( ( ! [SY190: $i] :
( ~ ( r1 @ SV29 @ SY190 )
| ! [SX6: $i] :
( ~ ( r1 @ SY190 @ SX6 )
| ( p3 @ SX6 ) )
| ~ ( p2 @ SY190 ) ) )
= $false )
| ( ( r1 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) @ SV29 )
= $false )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(351,plain,
! [SV4: $i,SV24: $i,SV14: $i] :
( ( ( ~ ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $false )
| ( ( r1 @ SV24 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(352,plain,
! [SV24: $i,SV4: $i,SV14: $i] :
( ( ( ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( p3 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(353,plain,
! [SV4: $i,SV24: $i,SV33: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV33 )
| ~ ! [SY192: $i] :
( ~ ( r1 @ SV33 @ SY192 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY192 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) )
= $true )
| ( ( p2 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(354,plain,
! [SV4: $i,SV16: $i,SV18: $i,SV30: $i] :
( ( ( p2 @ SV30 )
= $false )
| ( ( r1 @ ( sK26_SY124 @ SV18 @ SV16 @ SV4 ) @ SV30 )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ SV18 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(355,plain,
! [SV32: $i,SV4: $i,SV16: $i,SV18: $i] :
( ( ( ~ ( r1 @ ( sK29_SY124 @ SV18 @ SV16 @ SV4 ) @ SV32 ) )
= $true )
| ( ( ~ ( p2 @ SV32 ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(356,plain,
! [SV31: $i,SV4: $i,SV16: $i,SV18: $i] :
( ( ( r1 @ ( sK27_SY124 @ SV18 @ SV16 @ SV4 ) @ SV31 )
= $false )
| ( ( ~ ( p2 @ SV31 ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p3 @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(357,plain,
! [SV25: $i,SV4: $i,SV10: $i] :
( ( ( ~ ( r1 @ ( sK30_SY180 @ SV10 @ SV4 @ SV25 ) @ ( sK31_SY189 @ SV25 @ SV4 @ SV10 ) ) )
= $false )
| ( ( r1 @ ( sK20_SY146 @ SV4 @ SV10 ) @ SV25 )
= $false )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(358,plain,
! [SV10: $i,SV4: $i,SV25: $i] :
( ( ( p3 @ ( sK31_SY189 @ SV25 @ SV4 @ SV10 ) )
= $false )
| ( ( r1 @ ( sK20_SY146 @ SV4 @ SV10 ) @ SV25 )
= $false )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(359,plain,
! [SV21: $i,SV4: $i,SV10: $i,SV29: $i] :
( ( ( ~ ( r1 @ SV29 @ ( sK32_SY190 @ SV10 @ SV4 @ SV21 @ SV29 ) )
| ! [SY194: $i] :
( ~ ( r1 @ ( sK32_SY190 @ SV10 @ SV4 @ SV21 @ SV29 ) @ SY194 )
| ( p3 @ SY194 ) )
| ~ ( p2 @ ( sK32_SY190 @ SV10 @ SV4 @ SV21 @ SV29 ) ) )
= $false )
| ( ( r1 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) @ SV29 )
= $false )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[350]) ).
thf(360,plain,
! [SV4: $i,SV24: $i,SV14: $i] :
( ( ( ! [SY158: $i] :
( ~ ( r1 @ SV14 @ SY158 )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY158 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) ) )
= $true )
| ( ( r1 @ SV24 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(361,plain,
! [SV24: $i,SV4: $i,SV34: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV34 )
| ~ ! [SY195: $i] :
( ~ ( r1 @ SV34 @ SY195 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY195 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) )
= $true )
| ( ( p3 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(362,plain,
! [SV4: $i,SV24: $i,SV33: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV33 ) )
= $true )
| ( ( ~ ! [SY192: $i] :
( ~ ( r1 @ SV33 @ SY192 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY192 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) )
= $true )
| ( ( p2 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(363,plain,
! [SV32: $i,SV4: $i,SV16: $i,SV18: $i] :
( ( ( r1 @ ( sK29_SY124 @ SV18 @ SV16 @ SV4 ) @ SV32 )
= $false )
| ( ( ~ ( p2 @ SV32 ) )
= $true )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(364,plain,
! [SV4: $i,SV16: $i,SV18: $i,SV31: $i] :
( ( ( p2 @ SV31 )
= $false )
| ( ( r1 @ ( sK27_SY124 @ SV18 @ SV16 @ SV4 ) @ SV31 )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( p3 @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(365,plain,
! [SV25: $i,SV4: $i,SV10: $i] :
( ( ( r1 @ ( sK30_SY180 @ SV10 @ SV4 @ SV25 ) @ ( sK31_SY189 @ SV25 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ ( sK20_SY146 @ SV4 @ SV10 ) @ SV25 )
= $false )
| ( ( r1 @ SV10 @ ( sK13_SY144 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(366,plain,
! [SV21: $i,SV4: $i,SV10: $i,SV29: $i] :
( ( ( ~ ( r1 @ SV29 @ ( sK32_SY190 @ SV10 @ SV4 @ SV21 @ SV29 ) )
| ! [SY194: $i] :
( ~ ( r1 @ ( sK32_SY190 @ SV10 @ SV4 @ SV21 @ SV29 ) @ SY194 )
| ( p3 @ SY194 ) ) )
= $false )
| ( ( r1 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) @ SV29 )
= $false )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[359]) ).
thf(367,plain,
! [SV29: $i,SV21: $i,SV4: $i,SV10: $i] :
( ( ( ~ ( p2 @ ( sK32_SY190 @ SV10 @ SV4 @ SV21 @ SV29 ) ) )
= $false )
| ( ( r1 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) @ SV29 )
= $false )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[359]) ).
thf(368,plain,
! [SV4: $i,SV24: $i,SV35: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV35 )
| ~ ! [SY197: $i] :
( ~ ( r1 @ SV35 @ SY197 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY197 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) )
= $true )
| ( ( r1 @ SV24 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(369,plain,
! [SV24: $i,SV4: $i,SV34: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV34 ) )
= $true )
| ( ( ~ ! [SY195: $i] :
( ~ ( r1 @ SV34 @ SY195 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY195 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) )
= $true )
| ( ( p3 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(370,plain,
! [SV4: $i,SV24: $i,SV33: $i,SV14: $i] :
( ( ( r1 @ SV14 @ SV33 )
= $false )
| ( ( ~ ! [SY192: $i] :
( ~ ( r1 @ SV33 @ SY192 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY192 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) )
= $true )
| ( ( p2 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(371,plain,
! [SV4: $i,SV16: $i,SV18: $i,SV32: $i] :
( ( ( p2 @ SV32 )
= $false )
| ( ( r1 @ ( sK29_SY124 @ SV18 @ SV16 @ SV4 ) @ SV32 )
= $false )
| ( ( r1 @ SV4 @ SV16 )
= $false )
| ( ( r1 @ SV16 @ SV18 )
= $false )
| ( ( r1 @ ( sK19_SY168 @ SV4 @ SV16 @ SV18 ) @ ( sK23_SY173 @ SV18 @ SV16 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(372,plain,
! [SV21: $i,SV4: $i,SV10: $i,SV29: $i] :
( ( ( ~ ( r1 @ SV29 @ ( sK32_SY190 @ SV10 @ SV4 @ SV21 @ SV29 ) ) )
= $false )
| ( ( r1 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) @ SV29 )
= $false )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(373,plain,
! [SV29: $i,SV21: $i,SV4: $i,SV10: $i] :
( ( ( ! [SY194: $i] :
( ~ ( r1 @ ( sK32_SY190 @ SV10 @ SV4 @ SV21 @ SV29 ) @ SY194 )
| ( p3 @ SY194 ) ) )
= $false )
| ( ( r1 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) @ SV29 )
= $false )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(374,plain,
! [SV29: $i,SV21: $i,SV4: $i,SV10: $i] :
( ( ( p2 @ ( sK32_SY190 @ SV10 @ SV4 @ SV21 @ SV29 ) )
= $true )
| ( ( r1 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) @ SV29 )
= $false )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(375,plain,
! [SV4: $i,SV24: $i,SV35: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV35 ) )
= $true )
| ( ( ~ ! [SY197: $i] :
( ~ ( r1 @ SV35 @ SY197 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY197 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) )
= $true )
| ( ( r1 @ SV24 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(376,plain,
! [SV24: $i,SV4: $i,SV34: $i,SV14: $i] :
( ( ( r1 @ SV14 @ SV34 )
= $false )
| ( ( ~ ! [SY195: $i] :
( ~ ( r1 @ SV34 @ SY195 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY195 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) )
= $true )
| ( ( p3 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(377,plain,
! [SV4: $i,SV24: $i,SV14: $i,SV33: $i] :
( ( ( ! [SY192: $i] :
( ~ ( r1 @ SV33 @ SY192 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY192 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) )
= $false )
| ( ( r1 @ SV14 @ SV33 )
= $false )
| ( ( p2 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(378,plain,
! [SV21: $i,SV4: $i,SV10: $i,SV29: $i] :
( ( ( r1 @ SV29 @ ( sK32_SY190 @ SV10 @ SV4 @ SV21 @ SV29 ) )
= $true )
| ( ( r1 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) @ SV29 )
= $false )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[372]) ).
thf(379,plain,
! [SV29: $i,SV21: $i,SV4: $i,SV10: $i] :
( ( ( ~ ( r1 @ ( sK32_SY190 @ SV10 @ SV4 @ SV21 @ SV29 ) @ ( sK33_SY194 @ SV29 @ SV21 @ SV4 @ SV10 ) )
| ( p3 @ ( sK33_SY194 @ SV29 @ SV21 @ SV4 @ SV10 ) ) )
= $false )
| ( ( r1 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) @ SV29 )
= $false )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[373]) ).
thf(380,plain,
! [SV4: $i,SV24: $i,SV35: $i,SV14: $i] :
( ( ( r1 @ SV14 @ SV35 )
= $false )
| ( ( ~ ! [SY197: $i] :
( ~ ( r1 @ SV35 @ SY197 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY197 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) )
= $true )
| ( ( r1 @ SV24 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(381,plain,
! [SV24: $i,SV4: $i,SV14: $i,SV34: $i] :
( ( ( ! [SY195: $i] :
( ~ ( r1 @ SV34 @ SY195 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY195 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) )
= $false )
| ( ( r1 @ SV14 @ SV34 )
= $false )
| ( ( p3 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(382,plain,
! [SV14: $i,SV24: $i,SV4: $i,SV33: $i] :
( ( ( ~ ( r1 @ SV33 @ ( sK34_SY192 @ SV4 @ SV24 @ SV14 @ SV33 ) )
| ~ ! [SY199: $i] :
( ~ ( r1 @ ( sK34_SY192 @ SV4 @ SV24 @ SV14 @ SV33 ) @ SY199 )
| ~ ( p2 @ SY199 ) ) )
= $false )
| ( ( r1 @ SV14 @ SV33 )
= $false )
| ( ( p2 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[377]) ).
thf(383,plain,
! [SV29: $i,SV21: $i,SV4: $i,SV10: $i] :
( ( ( ~ ( r1 @ ( sK32_SY190 @ SV10 @ SV4 @ SV21 @ SV29 ) @ ( sK33_SY194 @ SV29 @ SV21 @ SV4 @ SV10 ) ) )
= $false )
| ( ( r1 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) @ SV29 )
= $false )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[379]) ).
thf(384,plain,
! [SV10: $i,SV4: $i,SV21: $i,SV29: $i] :
( ( ( p3 @ ( sK33_SY194 @ SV29 @ SV21 @ SV4 @ SV10 ) )
= $false )
| ( ( r1 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) @ SV29 )
= $false )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[379]) ).
thf(385,plain,
! [SV4: $i,SV24: $i,SV14: $i,SV35: $i] :
( ( ( ! [SY197: $i] :
( ~ ( r1 @ SV35 @ SY197 )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY197 @ SX5 )
| ~ ( p2 @ SX5 ) ) ) )
= $false )
| ( ( r1 @ SV14 @ SV35 )
= $false )
| ( ( r1 @ SV24 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(386,plain,
! [SV14: $i,SV4: $i,SV24: $i,SV34: $i] :
( ( ( ~ ( r1 @ SV34 @ ( sK35_SY195 @ SV24 @ SV4 @ SV14 @ SV34 ) )
| ~ ! [SY200: $i] :
( ~ ( r1 @ ( sK35_SY195 @ SV24 @ SV4 @ SV14 @ SV34 ) @ SY200 )
| ~ ( p2 @ SY200 ) ) )
= $false )
| ( ( r1 @ SV14 @ SV34 )
= $false )
| ( ( p3 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[381]) ).
thf(387,plain,
! [SV14: $i,SV24: $i,SV4: $i,SV33: $i] :
( ( ( ~ ( r1 @ SV33 @ ( sK34_SY192 @ SV4 @ SV24 @ SV14 @ SV33 ) ) )
= $false )
| ( ( r1 @ SV14 @ SV33 )
= $false )
| ( ( p2 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(388,plain,
! [SV33: $i,SV14: $i,SV24: $i,SV4: $i] :
( ( ( ~ ! [SY199: $i] :
( ~ ( r1 @ ( sK34_SY192 @ SV4 @ SV24 @ SV14 @ SV33 ) @ SY199 )
| ~ ( p2 @ SY199 ) ) )
= $false )
| ( ( r1 @ SV14 @ SV33 )
= $false )
| ( ( p2 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(389,plain,
! [SV29: $i,SV21: $i,SV4: $i,SV10: $i] :
( ( ( r1 @ ( sK32_SY190 @ SV10 @ SV4 @ SV21 @ SV29 ) @ ( sK33_SY194 @ SV29 @ SV21 @ SV4 @ SV10 ) )
= $true )
| ( ( r1 @ ( sK25_SY146 @ SV21 @ SV4 @ SV10 ) @ SV29 )
= $false )
| ( ( r1 @ ( sK13_SY144 @ SV4 @ SV10 ) @ SV21 )
= $false )
| ( ( p2 @ SV21 )
= $false )
| ( ( r1 @ SV4 @ SV10 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(390,plain,
! [SV14: $i,SV24: $i,SV4: $i,SV35: $i] :
( ( ( ~ ( r1 @ SV35 @ ( sK36_SY197 @ SV4 @ SV24 @ SV14 @ SV35 ) )
| ~ ! [SY201: $i] :
( ~ ( r1 @ ( sK36_SY197 @ SV4 @ SV24 @ SV14 @ SV35 ) @ SY201 )
| ~ ( p2 @ SY201 ) ) )
= $false )
| ( ( r1 @ SV14 @ SV35 )
= $false )
| ( ( r1 @ SV24 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[385]) ).
thf(391,plain,
! [SV14: $i,SV4: $i,SV24: $i,SV34: $i] :
( ( ( ~ ( r1 @ SV34 @ ( sK35_SY195 @ SV24 @ SV4 @ SV14 @ SV34 ) ) )
= $false )
| ( ( r1 @ SV14 @ SV34 )
= $false )
| ( ( p3 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[386]) ).
thf(392,plain,
! [SV34: $i,SV14: $i,SV4: $i,SV24: $i] :
( ( ( ~ ! [SY200: $i] :
( ~ ( r1 @ ( sK35_SY195 @ SV24 @ SV4 @ SV14 @ SV34 ) @ SY200 )
| ~ ( p2 @ SY200 ) ) )
= $false )
| ( ( r1 @ SV14 @ SV34 )
= $false )
| ( ( p3 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[386]) ).
thf(393,plain,
! [SV14: $i,SV24: $i,SV4: $i,SV33: $i] :
( ( ( r1 @ SV33 @ ( sK34_SY192 @ SV4 @ SV24 @ SV14 @ SV33 ) )
= $true )
| ( ( r1 @ SV14 @ SV33 )
= $false )
| ( ( p2 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(394,plain,
! [SV33: $i,SV14: $i,SV24: $i,SV4: $i] :
( ( ( ! [SY199: $i] :
( ~ ( r1 @ ( sK34_SY192 @ SV4 @ SV24 @ SV14 @ SV33 ) @ SY199 )
| ~ ( p2 @ SY199 ) ) )
= $true )
| ( ( r1 @ SV14 @ SV33 )
= $false )
| ( ( p2 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(395,plain,
! [SV14: $i,SV24: $i,SV4: $i,SV35: $i] :
( ( ( ~ ( r1 @ SV35 @ ( sK36_SY197 @ SV4 @ SV24 @ SV14 @ SV35 ) ) )
= $false )
| ( ( r1 @ SV14 @ SV35 )
= $false )
| ( ( r1 @ SV24 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(396,plain,
! [SV35: $i,SV14: $i,SV24: $i,SV4: $i] :
( ( ( ~ ! [SY201: $i] :
( ~ ( r1 @ ( sK36_SY197 @ SV4 @ SV24 @ SV14 @ SV35 ) @ SY201 )
| ~ ( p2 @ SY201 ) ) )
= $false )
| ( ( r1 @ SV14 @ SV35 )
= $false )
| ( ( r1 @ SV24 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(397,plain,
! [SV14: $i,SV4: $i,SV24: $i,SV34: $i] :
( ( ( r1 @ SV34 @ ( sK35_SY195 @ SV24 @ SV4 @ SV14 @ SV34 ) )
= $true )
| ( ( r1 @ SV14 @ SV34 )
= $false )
| ( ( p3 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[391]) ).
thf(398,plain,
! [SV34: $i,SV14: $i,SV4: $i,SV24: $i] :
( ( ( ! [SY200: $i] :
( ~ ( r1 @ ( sK35_SY195 @ SV24 @ SV4 @ SV14 @ SV34 ) @ SY200 )
| ~ ( p2 @ SY200 ) ) )
= $true )
| ( ( r1 @ SV14 @ SV34 )
= $false )
| ( ( p3 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(399,plain,
! [SV36: $i,SV33: $i,SV14: $i,SV24: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK34_SY192 @ SV4 @ SV24 @ SV14 @ SV33 ) @ SV36 )
| ~ ( p2 @ SV36 ) )
= $true )
| ( ( r1 @ SV14 @ SV33 )
= $false )
| ( ( p2 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(400,plain,
! [SV14: $i,SV24: $i,SV4: $i,SV35: $i] :
( ( ( r1 @ SV35 @ ( sK36_SY197 @ SV4 @ SV24 @ SV14 @ SV35 ) )
= $true )
| ( ( r1 @ SV14 @ SV35 )
= $false )
| ( ( r1 @ SV24 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(401,plain,
! [SV35: $i,SV14: $i,SV24: $i,SV4: $i] :
( ( ( ! [SY201: $i] :
( ~ ( r1 @ ( sK36_SY197 @ SV4 @ SV24 @ SV14 @ SV35 ) @ SY201 )
| ~ ( p2 @ SY201 ) ) )
= $true )
| ( ( r1 @ SV14 @ SV35 )
= $false )
| ( ( r1 @ SV24 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(402,plain,
! [SV37: $i,SV34: $i,SV14: $i,SV4: $i,SV24: $i] :
( ( ( ~ ( r1 @ ( sK35_SY195 @ SV24 @ SV4 @ SV14 @ SV34 ) @ SV37 )
| ~ ( p2 @ SV37 ) )
= $true )
| ( ( r1 @ SV14 @ SV34 )
= $false )
| ( ( p3 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(403,plain,
! [SV36: $i,SV33: $i,SV14: $i,SV24: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK34_SY192 @ SV4 @ SV24 @ SV14 @ SV33 ) @ SV36 ) )
= $true )
| ( ( ~ ( p2 @ SV36 ) )
= $true )
| ( ( r1 @ SV14 @ SV33 )
= $false )
| ( ( p2 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(404,plain,
! [SV38: $i,SV35: $i,SV14: $i,SV24: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK36_SY197 @ SV4 @ SV24 @ SV14 @ SV35 ) @ SV38 )
| ~ ( p2 @ SV38 ) )
= $true )
| ( ( r1 @ SV14 @ SV35 )
= $false )
| ( ( r1 @ SV24 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(405,plain,
! [SV37: $i,SV34: $i,SV14: $i,SV4: $i,SV24: $i] :
( ( ( ~ ( r1 @ ( sK35_SY195 @ SV24 @ SV4 @ SV14 @ SV34 ) @ SV37 ) )
= $true )
| ( ( ~ ( p2 @ SV37 ) )
= $true )
| ( ( r1 @ SV14 @ SV34 )
= $false )
| ( ( p3 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(406,plain,
! [SV36: $i,SV33: $i,SV14: $i,SV24: $i,SV4: $i] :
( ( ( r1 @ ( sK34_SY192 @ SV4 @ SV24 @ SV14 @ SV33 ) @ SV36 )
= $false )
| ( ( ~ ( p2 @ SV36 ) )
= $true )
| ( ( r1 @ SV14 @ SV33 )
= $false )
| ( ( p2 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(407,plain,
! [SV38: $i,SV35: $i,SV14: $i,SV24: $i,SV4: $i] :
( ( ( ~ ( r1 @ ( sK36_SY197 @ SV4 @ SV24 @ SV14 @ SV35 ) @ SV38 ) )
= $true )
| ( ( ~ ( p2 @ SV38 ) )
= $true )
| ( ( r1 @ SV14 @ SV35 )
= $false )
| ( ( r1 @ SV24 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(408,plain,
! [SV37: $i,SV34: $i,SV14: $i,SV4: $i,SV24: $i] :
( ( ( r1 @ ( sK35_SY195 @ SV24 @ SV4 @ SV14 @ SV34 ) @ SV37 )
= $false )
| ( ( ~ ( p2 @ SV37 ) )
= $true )
| ( ( r1 @ SV14 @ SV34 )
= $false )
| ( ( p3 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(409,plain,
! [SV33: $i,SV14: $i,SV24: $i,SV4: $i,SV36: $i] :
( ( ( p2 @ SV36 )
= $false )
| ( ( r1 @ ( sK34_SY192 @ SV4 @ SV24 @ SV14 @ SV33 ) @ SV36 )
= $false )
| ( ( r1 @ SV14 @ SV33 )
= $false )
| ( ( p2 @ SV24 )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(410,plain,
! [SV38: $i,SV35: $i,SV14: $i,SV24: $i,SV4: $i] :
( ( ( r1 @ ( sK36_SY197 @ SV4 @ SV24 @ SV14 @ SV35 ) @ SV38 )
= $false )
| ( ( ~ ( p2 @ SV38 ) )
= $true )
| ( ( r1 @ SV14 @ SV35 )
= $false )
| ( ( r1 @ SV24 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(411,plain,
! [SV34: $i,SV14: $i,SV4: $i,SV24: $i,SV37: $i] :
( ( ( p2 @ SV37 )
= $false )
| ( ( r1 @ ( sK35_SY195 @ SV24 @ SV4 @ SV14 @ SV34 ) @ SV37 )
= $false )
| ( ( r1 @ SV14 @ SV34 )
= $false )
| ( ( p3 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $false )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(412,plain,
! [SV35: $i,SV14: $i,SV24: $i,SV4: $i,SV38: $i] :
( ( ( p2 @ SV38 )
= $false )
| ( ( r1 @ ( sK36_SY197 @ SV4 @ SV24 @ SV14 @ SV35 ) @ SV38 )
= $false )
| ( ( r1 @ SV14 @ SV35 )
= $false )
| ( ( r1 @ SV24 @ ( sK28_SY179 @ SV4 @ SV14 @ SV24 ) )
= $true )
| ( ( r1 @ SV14 @ SV24 )
= $false )
| ( ( p2 @ SV14 )
= $false )
| ( ( r1 @ SV4 @ SV14 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(413,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[31,412,411,409,400,397,393,389,384,378,374,371,365,364,358,354,348,347,339,333,323,316,315,307,301,298,270,268,267,256,252,243,234,226,220,214,210,207,198,196,189,184,178,137,136,92,91,84,77,66,59,50,47]) ).
thf(414,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[413]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL652+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.16 % Computer : n006.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Tue Oct 6 12:26:52 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.38/9.15
% 44.38/9.15 No.of.Axioms: 0
% 44.38/9.15
% 44.38/9.15 Length.of.Defs: 0
% 44.38/9.15
% 44.38/9.15 Contains.Choice.Funs: false
% 44.38/9.15 ...................
% 44.38/9.15
% 44.38/9.15 ********************************
% 44.38/9.15 * All subproblems solved! *
% 44.38/9.15 ********************************
% 44.38/9.15 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,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:413,loop_count:0,foatp_calls:1,translation:fof_full)
% 44.38/9.15
% 44.38/9.15 %**** Beginning of derivation protocol ****
% 44.38/9.15 % SZS output start CNFRefutation
% See solution above
% 44.38/9.16
% 44.38/9.16 %**** End of derivation protocol ****
% 44.38/9.16 %**** no. of clauses in derivation: 414 ****
% 44.38/9.16 %**** clause counter: 413 ****
% 44.38/9.16
% 44.38/9.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,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:413,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------