%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO384^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 11:08:10 AM UTC 2026
% Result : Theorem 0.09s 0.24s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 1
% Syntax : Number of formulae : 235 ( 54 unt; 0 typ; 0 def)
% Number of atoms : 3020 ( 805 equ; 0 cnn)
% Maximal formula atoms : 20 ( 12 avg)
% Number of connectives : 8463 (1283 ~;1086 |; 26 &;6005 @)
% ( 0 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 42 ( 39 usr; 4 con; 0-5 aty)
% Number of variables : 1951 ( 0 ^;1889 !; 62 ?;1951 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cD,type,
cD: $i > $i > $i > $o ).
thf(tp_cF,type,
cF: $i > $i > $o ).
thf(tp_cS,type,
cS: $i > $i > $o ).
thf(tp_sK10_SY72,type,
sK10_SY72: $i > $i > $i > $i ).
thf(tp_sK11_SX0,type,
sK11_SX0: $i > $i > $i > $i ).
thf(tp_sK12_SX0,type,
sK12_SX0: $i > $i > $i > $i ).
thf(tp_sK13_SY83,type,
sK13_SY83: $i > $i > $i > $i > $i ).
thf(tp_sK14_SY87,type,
sK14_SY87: $i > $i > $i > $i > $i ).
thf(tp_sK15_SY91,type,
sK15_SY91: $i > $i > $i > $i > $i ).
thf(tp_sK16_SY94,type,
sK16_SY94: $i > $i > $i > $i > $i ).
thf(tp_sK17_SY97,type,
sK17_SY97: $i > $i > $i > $i > $i ).
thf(tp_sK18_SY99,type,
sK18_SY99: $i > $i > $i > $i > $i ).
thf(tp_sK19_SY101,type,
sK19_SY101: $i > $i > $i > $i > $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK20_SY102,type,
sK20_SY102: $i > $i > $i > $i > $i ).
thf(tp_sK21_SX0,type,
sK21_SX0: $i > $i > $i > $i > $i ).
thf(tp_sK22_SX0,type,
sK22_SX0: $i > $i > $i > $i > $i ).
thf(tp_sK23_SX0,type,
sK23_SX0: $i > $i > $i > $i > $i ).
thf(tp_sK24_SX0,type,
sK24_SX0: $i > $i > $i > $i > $i ).
thf(tp_sK25_SY111,type,
sK25_SY111: $i > $i > $i > $i > $i > $i ).
thf(tp_sK26_SY118,type,
sK26_SY118: $i > $i > $i > $i > $i > $i ).
thf(tp_sK27_SX0,type,
sK27_SX0: $i > $i > $i > $i > $i ).
thf(tp_sK28_SX0,type,
sK28_SX0: $i > $i > $i > $i > $i ).
thf(tp_sK29_SY127,type,
sK29_SY127: $i > $i > $i > $i > $i > $i ).
thf(tp_sK2_SY34,type,
sK2_SY34: $i > $i ).
thf(tp_sK30_SX0,type,
sK30_SX0: $i > $i > $i > $i > $i ).
thf(tp_sK31_SX0,type,
sK31_SX0: $i > $i > $i > $i > $i ).
thf(tp_sK32_SY132,type,
sK32_SY132: $i > $i > $i > $i > $i > $i ).
thf(tp_sK33_SY157,type,
sK33_SY157: $i > $i > $i > $i > $i > $i ).
thf(tp_sK34_SY160,type,
sK34_SY160: $i > $i > $i > $i > $i > $i ).
thf(tp_sK35_SY164,type,
sK35_SY164: $i > $i > $i > $i > $i > $i ).
thf(tp_sK36_SY167,type,
sK36_SY167: $i > $i > $i > $i > $i > $i ).
thf(tp_sK3_SY35,type,
sK3_SY35: $i > $i ).
thf(tp_sK4_SY43,type,
sK4_SY43: $i > $i ).
thf(tp_sK5_SY51,type,
sK5_SY51: $i > $i ).
thf(tp_sK6_SY62,type,
sK6_SY62: $i > $i > $i ).
thf(tp_sK7_SX0,type,
sK7_SX0: $i ).
thf(tp_sK8_SY64,type,
sK8_SY64: $i > $i > $i ).
thf(tp_sK9_SY67,type,
sK9_SY67: $i > $i > $i ).
thf(1,conjecture,
( ( ( ! [Xx: $i] :
? [Xy: $i] : ( cF @ Xx @ Xy )
& ? [Xx: $i] :
! [Xe: $i] :
? [Xn: $i] :
! [Xw: $i] :
( ( cS @ Xn @ Xw )
=> ( cD @ Xw @ Xx @ Xe ) )
& ! [Xe: $i] :
? [Xd: $i] :
! [Xa: $i,Xb: $i] :
( ( cD @ Xa @ Xb @ Xd )
=> ! [Xy: $i,Xz: $i] :
( ( ( cF @ Xa @ Xy )
& ( cF @ Xb @ Xz ) )
=> ( cD @ Xy @ Xz @ Xe ) ) ) )
=> ? [Xy: $i] :
! [Xe: $i] :
? [Xm: $i] :
! [Xw: $i] :
( ( cS @ Xm @ Xw )
=> ! [Xz: $i] :
( ( cF @ Xw @ Xz )
=> ( cD @ Xz @ Xy @ Xe ) ) ) )
=> ( ( ! [Xx: $i] :
? [Xy: $i] : ( cF @ Xx @ Xy )
& ? [Xx: $i] :
! [Xe: $i] :
? [Xn: $i] :
! [Xw: $i] :
( ( cS @ Xn @ Xw )
=> ( cD @ Xw @ Xx @ Xe ) )
& ! [Xe: $i] :
? [Xd: $i] :
! [Xa: $i,Xb: $i] :
( ( cD @ Xa @ Xb @ Xd )
=> ! [Xy: $i,Xz: $i] :
( ( ( cF @ Xa @ Xy )
& ( cF @ Xb @ Xz ) )
=> ( cD @ Xy @ Xz @ Xe ) ) ) )
=> ? [Xy: $i] :
! [Xe: $i] :
? [Xm: $i] :
! [Xw: $i] :
( ( cS @ Xm @ Xw )
=> ! [Xz: $i] :
( ( cF @ Xw @ Xz )
=> ( cD @ Xz @ Xy @ Xe ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM408) ).
thf(2,negated_conjecture,
( ( ( ( ! [Xx: $i] :
? [Xy: $i] : ( cF @ Xx @ Xy )
& ? [Xx: $i] :
! [Xe: $i] :
? [Xn: $i] :
! [Xw: $i] :
( ( cS @ Xn @ Xw )
=> ( cD @ Xw @ Xx @ Xe ) )
& ! [Xe: $i] :
? [Xd: $i] :
! [Xa: $i,Xb: $i] :
( ( cD @ Xa @ Xb @ Xd )
=> ! [Xy: $i,Xz: $i] :
( ( ( cF @ Xa @ Xy )
& ( cF @ Xb @ Xz ) )
=> ( cD @ Xy @ Xz @ Xe ) ) ) )
=> ? [Xy: $i] :
! [Xe: $i] :
? [Xm: $i] :
! [Xw: $i] :
( ( cS @ Xm @ Xw )
=> ! [Xz: $i] :
( ( cF @ Xw @ Xz )
=> ( cD @ Xz @ Xy @ Xe ) ) ) )
=> ( ( ! [Xx: $i] :
? [Xy: $i] : ( cF @ Xx @ Xy )
& ? [Xx: $i] :
! [Xe: $i] :
? [Xn: $i] :
! [Xw: $i] :
( ( cS @ Xn @ Xw )
=> ( cD @ Xw @ Xx @ Xe ) )
& ! [Xe: $i] :
? [Xd: $i] :
! [Xa: $i,Xb: $i] :
( ( cD @ Xa @ Xb @ Xd )
=> ! [Xy: $i,Xz: $i] :
( ( ( cF @ Xa @ Xy )
& ( cF @ Xb @ Xz ) )
=> ( cD @ Xy @ Xz @ Xe ) ) ) )
=> ? [Xy: $i] :
! [Xe: $i] :
? [Xm: $i] :
! [Xw: $i] :
( ( cS @ Xm @ Xw )
=> ! [Xz: $i] :
( ( cF @ Xw @ Xz )
=> ( cD @ Xz @ Xy @ Xe ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ( ! [Xx: $i] :
? [Xy: $i] : ( cF @ Xx @ Xy )
& ? [Xx: $i] :
! [Xe: $i] :
? [Xn: $i] :
! [Xw: $i] :
( ( cS @ Xn @ Xw )
=> ( cD @ Xw @ Xx @ Xe ) )
& ! [Xe: $i] :
? [Xd: $i] :
! [Xa: $i,Xb: $i] :
( ( cD @ Xa @ Xb @ Xd )
=> ! [Xy: $i,Xz: $i] :
( ( ( cF @ Xa @ Xy )
& ( cF @ Xb @ Xz ) )
=> ( cD @ Xy @ Xz @ Xe ) ) ) )
=> ? [Xy: $i] :
! [Xe: $i] :
? [Xm: $i] :
! [Xw: $i] :
( ( cS @ Xm @ Xw )
=> ! [Xz: $i] :
( ( cF @ Xw @ Xz )
=> ( cD @ Xz @ Xy @ Xe ) ) ) )
=> ( ( ! [Xx: $i] :
? [Xy: $i] : ( cF @ Xx @ Xy )
& ? [Xx: $i] :
! [Xe: $i] :
? [Xn: $i] :
! [Xw: $i] :
( ( cS @ Xn @ Xw )
=> ( cD @ Xw @ Xx @ Xe ) )
& ! [Xe: $i] :
? [Xd: $i] :
! [Xa: $i,Xb: $i] :
( ( cD @ Xa @ Xb @ Xd )
=> ! [Xy: $i,Xz: $i] :
( ( ( cF @ Xa @ Xy )
& ( cF @ Xb @ Xz ) )
=> ( cD @ Xy @ Xz @ Xe ) ) ) )
=> ? [Xy: $i] :
! [Xe: $i] :
? [Xm: $i] :
! [Xw: $i] :
( ( cS @ Xm @ Xw )
=> ! [Xz: $i] :
( ( cF @ Xw @ Xz )
=> ( cD @ Xz @ Xy @ Xe ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ! [Xx: $i] :
? [Xy: $i] : ( cF @ Xx @ Xy )
& ? [Xx: $i] :
! [Xe: $i] :
? [Xn: $i] :
! [Xw: $i] :
( ( cS @ Xn @ Xw )
=> ( cD @ Xw @ Xx @ Xe ) )
& ! [Xe: $i] :
? [Xd: $i] :
! [Xa: $i,Xb: $i] :
( ( cD @ Xa @ Xb @ Xd )
=> ! [Xy: $i,Xz: $i] :
( ( ( cF @ Xa @ Xy )
& ( cF @ Xb @ Xz ) )
=> ( cD @ Xy @ Xz @ Xe ) ) ) )
=> ? [Xy: $i] :
! [Xe: $i] :
? [Xm: $i] :
! [Xw: $i] :
( ( cS @ Xm @ Xw )
=> ! [Xz: $i] :
( ( cF @ Xw @ Xz )
=> ( cD @ Xz @ Xy @ Xe ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xx: $i] :
? [Xy: $i] : ( cF @ Xx @ Xy ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ? [Xx: $i] :
! [Xe: $i] :
? [Xn: $i] :
! [Xw: $i] :
( ( cS @ Xn @ Xw )
=> ( cD @ Xw @ Xx @ Xe ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [Xe: $i] :
? [Xd: $i] :
! [Xa: $i,Xb: $i] :
( ( cD @ Xa @ Xb @ Xd )
=> ! [Xy: $i,Xz: $i] :
( ( ( cF @ Xa @ Xy )
& ( cF @ Xb @ Xz ) )
=> ( cD @ Xy @ Xz @ Xe ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ? [Xy: $i] :
! [Xe: $i] :
? [Xm: $i] :
! [Xw: $i] :
( ( cS @ Xm @ Xw )
=> ! [Xz: $i] :
( ( cF @ Xw @ Xz )
=> ( cD @ Xz @ Xy @ Xe ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(9,plain,
( ( ~ ? [Xy: $i] :
! [Xe: $i] :
? [Xm: $i] :
! [Xw: $i] :
( ( cS @ Xm @ Xw )
=> ! [Xz: $i] :
( ( cF @ Xw @ Xz )
=> ( cD @ Xz @ Xy @ Xe ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [Xe: $i] :
? [Xd: $i] :
! [Xa: $i,Xb: $i] :
( ( cD @ Xa @ Xb @ Xd )
=> ! [Xy: $i,Xz: $i] :
( ( ( cF @ Xa @ Xy )
& ( cF @ Xb @ Xz ) )
=> ( cD @ Xy @ Xz @ Xe ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ? [Xx: $i] :
! [Xe: $i] :
? [Xn: $i] :
! [Xw: $i] :
( ( cS @ Xn @ Xw )
=> ( cD @ Xw @ Xx @ Xe ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(12,plain,
( ( ! [Xx: $i] :
? [Xy: $i] : ( cF @ Xx @ Xy ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(13,plain,
( ( ( ! [Xx: $i] :
? [Xy: $i] : ( cF @ Xx @ Xy )
& ? [Xx: $i] :
! [Xe: $i] :
? [Xn: $i] :
! [Xw: $i] :
( ( cS @ Xn @ Xw )
=> ( cD @ Xw @ Xx @ Xe ) )
& ! [Xe: $i] :
? [Xd: $i] :
! [Xa: $i,Xb: $i] :
( ( cD @ Xa @ Xb @ Xd )
=> ! [Xy: $i,Xz: $i] :
( ( ( cF @ Xa @ Xy )
& ( cF @ Xb @ Xz ) )
=> ( cD @ Xy @ Xz @ Xe ) ) ) )
=> ? [Xy: $i] :
! [Xe: $i] :
? [Xm: $i] :
! [Xw: $i] :
( ( cS @ Xm @ Xw )
=> ! [Xz: $i] :
( ( cF @ Xw @ Xz )
=> ( cD @ Xz @ Xy @ Xe ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(14,plain,
( ( ~ ? [Xy: $i] :
! [Xe: $i] :
? [Xm: $i] :
! [Xw: $i] :
( ( cS @ Xm @ Xw )
=> ! [Xz: $i] :
( ( cF @ Xw @ Xz )
=> ( cD @ Xz @ Xy @ Xe ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(15,plain,
( ( ~ ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(16,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( cF @ SX0 @ SX1 )
| ~ ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ( cD @ SX3 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(17,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( cF @ SX0 @ SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(18,plain,
( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ( cD @ SX3 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(19,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(20,plain,
( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(21,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( cF @ SX0 @ SX1 )
| ~ ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ( cD @ SX3 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[16]) ).
thf(22,plain,
! [SV1: $i] :
( ( ~ ! [SY34: $i] :
~ ( cF @ SV1 @ SY34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(23,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ( cD @ SX3 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(24,plain,
! [SV2: $i] :
( ( ~ ! [SY35: $i] :
~ ! [SY36: $i,SY37: $i] :
( ~ ( cD @ SY36 @ SY37 @ SY35 )
| ! [SY38: $i,SY39: $i] :
( ~ ~ ( ~ ( cF @ SY36 @ SY38 )
| ~ ( cF @ SY37 @ SY39 ) )
| ( cD @ SY38 @ SY39 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(25,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(26,plain,
( ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( cF @ SX0 @ SX1 )
| ~ ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ( cD @ SX3 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(27,plain,
! [SV1: $i] :
( ( ! [SY34: $i] :
~ ( cF @ SV1 @ SY34 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(28,plain,
( ( ~ ! [SY40: $i] :
~ ! [SY41: $i] :
~ ! [SY42: $i] :
( ~ ( cS @ SY41 @ SY42 )
| ( cD @ SY42 @ sK1_SX0 @ SY40 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[23]) ).
thf(29,plain,
! [SV2: $i] :
( ( ! [SY35: $i] :
~ ! [SY36: $i,SY37: $i] :
( ~ ( cD @ SY36 @ SY37 @ SY35 )
| ! [SY38: $i,SY39: $i] :
( ~ ~ ( ~ ( cF @ SY36 @ SY38 )
| ~ ( cF @ SY37 @ SY39 ) )
| ( cD @ SY38 @ SY39 @ SV2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(30,plain,
! [SV3: $i] :
( ( ~ ! [SY43: $i] :
~ ! [SY44: $i] :
~ ! [SY45: $i] :
( ~ ( cS @ SY44 @ SY45 )
| ! [SY46: $i] :
( ~ ( cF @ SY45 @ SY46 )
| ( cD @ SY46 @ SV3 @ SY43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(31,plain,
( ( ( ~ ~ ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( cF @ SX0 @ SX1 )
| ~ ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ( cD @ SX3 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(32,plain,
! [SV1: $i] :
( ( ~ ( cF @ SV1 @ ( sK2_SY34 @ SV1 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[27]) ).
thf(33,plain,
( ( ! [SY40: $i] :
~ ! [SY41: $i] :
~ ! [SY42: $i] :
( ~ ( cS @ SY41 @ SY42 )
| ( cD @ SY42 @ sK1_SX0 @ SY40 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(34,plain,
! [SV2: $i] :
( ( ~ ! [SY47: $i,SY48: $i] :
( ~ ( cD @ SY47 @ SY48 @ ( sK3_SY35 @ SV2 ) )
| ! [SY38: $i,SY39: $i] :
( ~ ~ ( ~ ( cF @ SY47 @ SY38 )
| ~ ( cF @ SY48 @ SY39 ) )
| ( cD @ SY38 @ SY39 @ SV2 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[29]) ).
thf(35,plain,
! [SV3: $i] :
( ( ! [SY43: $i] :
~ ! [SY44: $i] :
~ ! [SY45: $i] :
( ~ ( cS @ SY44 @ SY45 )
| ! [SY46: $i] :
( ~ ( cF @ SY45 @ SY46 )
| ( cD @ SY46 @ SV3 @ SY43 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(36,plain,
( ( ( ~ ~ ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( cF @ SX0 @ SX1 )
| ~ ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ( cD @ SX3 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(37,plain,
! [SV1: $i] :
( ( cF @ SV1 @ ( sK2_SY34 @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(38,plain,
! [SV4: $i] :
( ( ~ ! [SY51: $i] :
~ ! [SY52: $i] :
( ~ ( cS @ SY51 @ SY52 )
| ( cD @ SY52 @ sK1_SX0 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(39,plain,
! [SV2: $i] :
( ( ! [SY47: $i,SY48: $i] :
( ~ ( cD @ SY47 @ SY48 @ ( sK3_SY35 @ SV2 ) )
| ! [SY38: $i,SY39: $i] :
( ~ ~ ( ~ ( cF @ SY47 @ SY38 )
| ~ ( cF @ SY48 @ SY39 ) )
| ( cD @ SY38 @ SY39 @ SV2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(40,plain,
! [SV3: $i] :
( ( ~ ! [SY53: $i] :
~ ! [SY54: $i] :
( ~ ( cS @ SY53 @ SY54 )
| ! [SY55: $i] :
( ~ ( cF @ SY54 @ SY55 )
| ( cD @ SY55 @ SV3 @ ( sK4_SY43 @ SV3 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[35]) ).
thf(41,plain,
( ( ( ~ ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( cF @ SX0 @ SX1 )
| ~ ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ( cD @ SX3 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(42,plain,
! [SV4: $i] :
( ( ! [SY51: $i] :
~ ! [SY52: $i] :
( ~ ( cS @ SY51 @ SY52 )
| ( cD @ SY52 @ sK1_SX0 @ SV4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(43,plain,
! [SV2: $i,SV5: $i] :
( ( ! [SY56: $i] :
( ~ ( cD @ SV5 @ SY56 @ ( sK3_SY35 @ SV2 ) )
| ! [SY57: $i,SY58: $i] :
( ~ ~ ( ~ ( cF @ SV5 @ SY57 )
| ~ ( cF @ SY56 @ SY58 ) )
| ( cD @ SY57 @ SY58 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(44,plain,
! [SV3: $i] :
( ( ! [SY53: $i] :
~ ! [SY54: $i] :
( ~ ( cS @ SY53 @ SY54 )
| ! [SY55: $i] :
( ~ ( cF @ SY54 @ SY55 )
| ( cD @ SY55 @ SV3 @ ( sK4_SY43 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(45,plain,
( ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( cF @ SX0 @ SX1 )
| ~ ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ( cD @ SX3 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(46,plain,
! [SV4: $i] :
( ( ~ ! [SY59: $i] :
( ~ ( cS @ ( sK5_SY51 @ SV4 ) @ SY59 )
| ( cD @ SY59 @ sK1_SX0 @ SV4 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[42]) ).
thf(47,plain,
! [SV2: $i,SV6: $i,SV5: $i] :
( ( ~ ( cD @ SV5 @ SV6 @ ( sK3_SY35 @ SV2 ) )
| ! [SY60: $i,SY61: $i] :
( ~ ~ ( ~ ( cF @ SV5 @ SY60 )
| ~ ( cF @ SV6 @ SY61 ) )
| ( cD @ SY60 @ SY61 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV3: $i,SV7: $i] :
( ( ~ ! [SY62: $i] :
( ~ ( cS @ SV7 @ SY62 )
| ! [SY55: $i] :
( ~ ( cF @ SY62 @ SY55 )
| ( cD @ SY55 @ SV3 @ ( sK4_SY43 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(49,plain,
( ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( cF @ SX0 @ SX1 ) )
= $true )
| ( ( ~ ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ( cD @ SX3 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(50,plain,
! [SV4: $i] :
( ( ! [SY59: $i] :
( ~ ( cS @ ( sK5_SY51 @ SV4 ) @ SY59 )
| ( cD @ SY59 @ sK1_SX0 @ SV4 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(51,plain,
! [SV2: $i,SV6: $i,SV5: $i] :
( ( ( ~ ( cD @ SV5 @ SV6 @ ( sK3_SY35 @ SV2 ) ) )
= $true )
| ( ( ! [SY60: $i,SY61: $i] :
( ~ ~ ( ~ ( cF @ SV5 @ SY60 )
| ~ ( cF @ SV6 @ SY61 ) )
| ( cD @ SY60 @ SY61 @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(52,plain,
! [SV3: $i,SV7: $i] :
( ( ! [SY62: $i] :
( ~ ( cS @ SV7 @ SY62 )
| ! [SY55: $i] :
( ~ ( cF @ SY62 @ SY55 )
| ( cD @ SY55 @ SV3 @ ( sK4_SY43 @ SV3 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(53,plain,
( ( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( cF @ SX0 @ SX1 ) )
= $false )
| ( ( ~ ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ( cD @ SX3 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(54,plain,
! [SV8: $i,SV4: $i] :
( ( ~ ( cS @ ( sK5_SY51 @ SV4 ) @ SV8 )
| ( cD @ SV8 @ sK1_SX0 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(55,plain,
! [SV2: $i,SV6: $i,SV5: $i] :
( ( ( cD @ SV5 @ SV6 @ ( sK3_SY35 @ SV2 ) )
= $false )
| ( ( ! [SY60: $i,SY61: $i] :
( ~ ~ ( ~ ( cF @ SV5 @ SY60 )
| ~ ( cF @ SV6 @ SY61 ) )
| ( cD @ SY60 @ SY61 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(56,plain,
! [SV3: $i,SV7: $i] :
( ( ~ ( cS @ SV7 @ ( sK6_SY62 @ SV3 @ SV7 ) )
| ! [SY64: $i] :
( ~ ( cF @ ( sK6_SY62 @ SV3 @ SV7 ) @ SY64 )
| ( cD @ SY64 @ SV3 @ ( sK4_SY43 @ SV3 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[52]) ).
thf(57,plain,
( ( ( ~ ! [SY65: $i] :
~ ( cF @ sK7_SX0 @ SY65 ) )
= $false )
| ( ( ~ ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ( cD @ SX3 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[53]) ).
thf(58,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( cS @ ( sK5_SY51 @ SV4 ) @ SV8 ) )
= $true )
| ( ( cD @ SV8 @ sK1_SX0 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(59,plain,
! [SV2: $i,SV6: $i,SV9: $i,SV5: $i] :
( ( ( ! [SY66: $i] :
( ~ ~ ( ~ ( cF @ SV5 @ SV9 )
| ~ ( cF @ SV6 @ SY66 ) )
| ( cD @ SV9 @ SY66 @ SV2 ) ) )
= $true )
| ( ( cD @ SV5 @ SV6 @ ( sK3_SY35 @ SV2 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(60,plain,
! [SV3: $i,SV7: $i] :
( ( ~ ( cS @ SV7 @ ( sK6_SY62 @ SV3 @ SV7 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(61,plain,
! [SV7: $i,SV3: $i] :
( ( ! [SY64: $i] :
( ~ ( cF @ ( sK6_SY62 @ SV3 @ SV7 ) @ SY64 )
| ( cD @ SY64 @ SV3 @ ( sK4_SY43 @ SV3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(62,plain,
( ( ( ! [SY65: $i] :
~ ( cF @ sK7_SX0 @ SY65 ) )
= $true )
| ( ( ~ ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ( cD @ SX3 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(63,plain,
! [SV8: $i,SV4: $i] :
( ( ( cS @ ( sK5_SY51 @ SV4 ) @ SV8 )
= $false )
| ( ( cD @ SV8 @ sK1_SX0 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(64,plain,
! [SV2: $i,SV10: $i,SV6: $i,SV9: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( cF @ SV5 @ SV9 )
| ~ ( cF @ SV6 @ SV10 ) )
| ( cD @ SV9 @ SV10 @ SV2 ) )
= $true )
| ( ( cD @ SV5 @ SV6 @ ( sK3_SY35 @ SV2 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(65,plain,
! [SV3: $i,SV7: $i] :
( ( cS @ SV7 @ ( sK6_SY62 @ SV3 @ SV7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(66,plain,
! [SV7: $i,SV3: $i] :
( ( ~ ( cF @ ( sK6_SY62 @ SV3 @ SV7 ) @ ( sK8_SY64 @ SV7 @ SV3 ) )
| ( cD @ ( sK8_SY64 @ SV7 @ SV3 ) @ SV3 @ ( sK4_SY43 @ SV3 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[61]) ).
thf(67,plain,
! [SV11: $i] :
( ( ( ~ ( cF @ sK7_SX0 @ SV11 ) )
= $true )
| ( ( ~ ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ( cD @ SX3 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(68,plain,
! [SV2: $i,SV10: $i,SV6: $i,SV9: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( cF @ SV5 @ SV9 )
| ~ ( cF @ SV6 @ SV10 ) ) )
= $true )
| ( ( cD @ SV9 @ SV10 @ SV2 )
= $true )
| ( ( cD @ SV5 @ SV6 @ ( sK3_SY35 @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(69,plain,
! [SV7: $i,SV3: $i] :
( ( ~ ( cF @ ( sK6_SY62 @ SV3 @ SV7 ) @ ( sK8_SY64 @ SV7 @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(70,plain,
! [SV3: $i,SV7: $i] :
( ( cD @ ( sK8_SY64 @ SV7 @ SV3 ) @ SV3 @ ( sK4_SY43 @ SV3 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(71,plain,
! [SV11: $i] :
( ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( ~ ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ( cD @ SX3 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(72,plain,
! [SV2: $i,SV10: $i,SV6: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( ~ ( cF @ SV5 @ SV9 )
| ~ ( cF @ SV6 @ SV10 ) ) )
= $false )
| ( ( cD @ SV9 @ SV10 @ SV2 )
= $true )
| ( ( cD @ SV5 @ SV6 @ ( sK3_SY35 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(73,plain,
! [SV7: $i,SV3: $i] :
( ( cF @ ( sK6_SY62 @ SV3 @ SV7 ) @ ( sK8_SY64 @ SV7 @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(74,plain,
! [SV11: $i] :
( ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ( cD @ SX3 @ SX0 @ SX1 ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(75,plain,
! [SV2: $i,SV10: $i,SV6: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( cF @ SV5 @ SV9 )
| ~ ( cF @ SV6 @ SV10 ) )
= $true )
| ( ( cD @ SV9 @ SV10 @ SV2 )
= $true )
| ( ( cD @ SV5 @ SV6 @ ( sK3_SY35 @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(76,plain,
! [SV11: $i] :
( ( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ( cD @ SX3 @ SX0 @ SX1 ) ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(77,plain,
! [SV2: $i,SV10: $i,SV6: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( cF @ SV5 @ SV9 ) )
= $true )
| ( ( ~ ( cF @ SV6 @ SV10 ) )
= $true )
| ( ( cD @ SV9 @ SV10 @ SV2 )
= $true )
| ( ( cD @ SV5 @ SV6 @ ( sK3_SY35 @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(78,plain,
! [SV11: $i,SV12: $i] :
( ( ( ~ ! [SY67: $i] :
~ ! [SY68: $i] :
~ ! [SY69: $i] :
( ~ ( cS @ SY68 @ SY69 )
| ( cD @ SY69 @ SV12 @ SY67 ) ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(79,plain,
! [SV2: $i,SV10: $i,SV6: $i,SV9: $i,SV5: $i] :
( ( ( cF @ SV5 @ SV9 )
= $false )
| ( ( ~ ( cF @ SV6 @ SV10 ) )
= $true )
| ( ( cD @ SV9 @ SV10 @ SV2 )
= $true )
| ( ( cD @ SV5 @ SV6 @ ( sK3_SY35 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(80,plain,
! [SV11: $i,SV12: $i] :
( ( ( ! [SY67: $i] :
~ ! [SY68: $i] :
~ ! [SY69: $i] :
( ~ ( cS @ SY68 @ SY69 )
| ( cD @ SY69 @ SV12 @ SY67 ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(81,plain,
! [SV2: $i,SV9: $i,SV5: $i,SV10: $i,SV6: $i] :
( ( ( cF @ SV6 @ SV10 )
= $false )
| ( ( cF @ SV5 @ SV9 )
= $false )
| ( ( cD @ SV9 @ SV10 @ SV2 )
= $true )
| ( ( cD @ SV5 @ SV6 @ ( sK3_SY35 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(82,plain,
! [SV11: $i,SV12: $i] :
( ( ( ~ ! [SY70: $i] :
~ ! [SY71: $i] :
( ~ ( cS @ SY70 @ SY71 )
| ( cD @ SY71 @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[80]) ).
thf(83,plain,
! [SV11: $i,SV12: $i] :
( ( ( ! [SY70: $i] :
~ ! [SY71: $i] :
( ~ ( cS @ SY70 @ SY71 )
| ( cD @ SY71 @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) ) ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(84,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ~ ! [SY72: $i] :
( ~ ( cS @ SV13 @ SY72 )
| ( cD @ SY72 @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) ) ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(85,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ! [SY72: $i] :
( ~ ( cS @ SV13 @ SY72 )
| ( cD @ SY72 @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(86,plain,
! [SV12: $i,SV11: $i,SV13: $i] :
( ( ( ~ ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
| ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[85]) ).
thf(87,plain,
! [SV12: $i,SV11: $i,SV13: $i] :
( ( ( ~ ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(88,plain,
! [SV13: $i,SV12: $i,SV11: $i] :
( ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(89,plain,
! [SV12: $i,SV11: $i,SV13: $i] :
( ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(90,plain,
! [SV13: $i,SV12: $i,SV11: $i] :
( ( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(91,plain,
! [SV12: $i,SV13: $i,SV11: $i] :
( ( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i,SX3: $i] :
( ~ ( cD @ SX2 @ SX3 @ SX1 )
| ! [SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( cF @ SX2 @ SX4 )
| ~ ( cF @ SX3 @ SX5 ) )
| ( cD @ SX4 @ SX5 @ SX0 ) ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(92,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ~ ! [SY73: $i] :
~ ! [SY74: $i,SY75: $i] :
( ~ ( cD @ SY74 @ SY75 @ SY73 )
| ! [SY76: $i,SY77: $i] :
( ~ ~ ( ~ ( cF @ SY74 @ SY76 )
| ~ ( cF @ SY75 @ SY77 ) )
| ( cD @ SY76 @ SY77 @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) ) ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[90]) ).
thf(93,plain,
! [SV11: $i,SV13: $i,SV12: $i] :
( ( ( ~ ! [SY78: $i] :
~ ! [SY79: $i,SY80: $i] :
( ~ ( cD @ SY79 @ SY80 @ SY78 )
| ! [SY81: $i,SY82: $i] :
( ~ ~ ( ~ ( cF @ SY79 @ SY81 )
| ~ ( cF @ SY80 @ SY82 ) )
| ( cD @ SY81 @ SY82 @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) ) ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[91]) ).
thf(94,plain,
! [SV11: $i,SV12: $i,SV13: $i] :
( ( ( ! [SY73: $i] :
~ ! [SY74: $i,SY75: $i] :
( ~ ( cD @ SY74 @ SY75 @ SY73 )
| ! [SY76: $i,SY77: $i] :
( ~ ~ ( ~ ( cF @ SY74 @ SY76 )
| ~ ( cF @ SY75 @ SY77 ) )
| ( cD @ SY76 @ SY77 @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) ) ) ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(95,plain,
! [SV11: $i,SV13: $i,SV12: $i] :
( ( ( ! [SY78: $i] :
~ ! [SY79: $i,SY80: $i] :
( ~ ( cD @ SY79 @ SY80 @ SY78 )
| ! [SY81: $i,SY82: $i] :
( ~ ~ ( ~ ( cF @ SY79 @ SY81 )
| ~ ( cF @ SY80 @ SY82 ) )
| ( cD @ SY81 @ SY82 @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) ) ) ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(96,plain,
! [SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ~ ! [SY83: $i,SY84: $i] :
( ~ ( cD @ SY83 @ SY84 @ SV14 )
| ! [SY76: $i,SY77: $i] :
( ~ ~ ( ~ ( cF @ SY83 @ SY76 )
| ~ ( cF @ SY84 @ SY77 ) )
| ( cD @ SY76 @ SY77 @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) ) ) ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(97,plain,
! [SV11: $i,SV13: $i,SV12: $i,SV15: $i] :
( ( ( ~ ! [SY87: $i,SY88: $i] :
( ~ ( cD @ SY87 @ SY88 @ SV15 )
| ! [SY81: $i,SY82: $i] :
( ~ ~ ( ~ ( cF @ SY87 @ SY81 )
| ~ ( cF @ SY88 @ SY82 ) )
| ( cD @ SY81 @ SY82 @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) ) ) ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(98,plain,
! [SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ! [SY83: $i,SY84: $i] :
( ~ ( cD @ SY83 @ SY84 @ SV14 )
| ! [SY76: $i,SY77: $i] :
( ~ ~ ( ~ ( cF @ SY83 @ SY76 )
| ~ ( cF @ SY84 @ SY77 ) )
| ( cD @ SY76 @ SY77 @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) ) ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(99,plain,
! [SV11: $i,SV13: $i,SV12: $i,SV15: $i] :
( ( ( ! [SY87: $i,SY88: $i] :
( ~ ( cD @ SY87 @ SY88 @ SV15 )
| ! [SY81: $i,SY82: $i] :
( ~ ~ ( ~ ( cF @ SY87 @ SY81 )
| ~ ( cF @ SY88 @ SY82 ) )
| ( cD @ SY81 @ SY82 @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) ) ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(100,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( ! [SY91: $i] :
( ~ ( cD @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SY91 @ SV14 )
| ! [SY92: $i,SY93: $i] :
( ~ ~ ( ~ ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SY92 )
| ~ ( cF @ SY91 @ SY93 ) )
| ( cD @ SY92 @ SY93 @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) ) ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[98]) ).
thf(101,plain,
! [SV15: $i,SV12: $i,SV13: $i,SV11: $i] :
( ( ( ! [SY94: $i] :
( ~ ( cD @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ SY94 @ SV15 )
| ! [SY95: $i,SY96: $i] :
( ~ ~ ( ~ ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ SY95 )
| ~ ( cF @ SY94 @ SY96 ) )
| ( cD @ SY95 @ SY96 @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) ) ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[99]) ).
thf(102,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( ~ ( cD @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV14 )
| ! [SY97: $i,SY98: $i] :
( ~ ~ ( ~ ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SY97 )
| ~ ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SY98 ) )
| ( cD @ SY97 @ SY98 @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[100]) ).
thf(103,plain,
! [SV15: $i,SV12: $i,SV13: $i,SV11: $i] :
( ( ( ~ ( cD @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SV15 )
| ! [SY99: $i,SY100: $i] :
( ~ ~ ( ~ ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ SY99 )
| ~ ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SY100 ) )
| ( cD @ SY99 @ SY100 @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[101]) ).
thf(104,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( ~ ( cD @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV14 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(105,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( ! [SY97: $i,SY98: $i] :
( ~ ~ ( ~ ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SY97 )
| ~ ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SY98 ) )
| ( cD @ SY97 @ SY98 @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(106,plain,
! [SV15: $i,SV12: $i,SV13: $i,SV11: $i] :
( ( ( ~ ( cD @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SV15 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(107,plain,
! [SV15: $i,SV12: $i,SV13: $i,SV11: $i] :
( ( ( ! [SY99: $i,SY100: $i] :
( ~ ~ ( ~ ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ SY99 )
| ~ ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SY100 ) )
| ( cD @ SY99 @ SY100 @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(108,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( cD @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV14 )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(109,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( ! [SY101: $i] :
( ~ ~ ( ~ ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) )
| ~ ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SY101 ) )
| ( cD @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SY101 @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[105]) ).
thf(110,plain,
! [SV15: $i,SV12: $i,SV13: $i,SV11: $i] :
( ( ( cD @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SV15 )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(111,plain,
! [SV15: $i,SV12: $i,SV13: $i,SV11: $i] :
( ( ( ! [SY102: $i] :
( ~ ~ ( ~ ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) )
| ~ ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SY102 ) )
| ( cD @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SY102 @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[107]) ).
thf(112,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(113,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) )
| ~ ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) ) )
| ( cD @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[109]) ).
thf(114,plain,
! [SV15: $i,SV12: $i,SV11: $i,SV13: $i] :
( ( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(115,plain,
! [SV15: $i,SV12: $i,SV13: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) )
| ~ ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) ) )
| ( cD @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[111]) ).
thf(116,plain,
! [SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ~ ! [SY103: $i] :
~ ! [SY104: $i] :
~ ! [SY105: $i] :
( ~ ( cS @ SY104 @ SY105 )
| ! [SY106: $i] :
( ~ ( cF @ SY105 @ SY106 )
| ( cD @ SY106 @ ( sK21_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SY103 ) ) ) )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV14 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[112]) ).
thf(117,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) )
| ~ ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(118,plain,
! [SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( cD @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(119,plain,
! [SV13: $i,SV11: $i,SV12: $i,SV15: $i] :
( ( ( ~ ! [SY107: $i] :
~ ! [SY108: $i] :
~ ! [SY109: $i] :
( ~ ( cS @ SY108 @ SY109 )
| ! [SY110: $i] :
( ~ ( cF @ SY109 @ SY110 )
| ( cD @ SY110 @ ( sK22_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SY107 ) ) ) )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SV15 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[114]) ).
thf(120,plain,
! [SV15: $i,SV12: $i,SV13: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) )
| ~ ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(121,plain,
! [SV11: $i,SV13: $i,SV12: $i,SV15: $i] :
( ( ( cD @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(122,plain,
! [SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ! [SY103: $i] :
~ ! [SY104: $i] :
~ ! [SY105: $i] :
( ~ ( cS @ SY104 @ SY105 )
| ! [SY106: $i] :
( ~ ( cF @ SY105 @ SY106 )
| ( cD @ SY106 @ ( sK21_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SY103 ) ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(123,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( ~ ( ~ ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) )
| ~ ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) ) ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(124,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(125,plain,
! [SV13: $i,SV11: $i,SV12: $i,SV15: $i] :
( ( ( ! [SY107: $i] :
~ ! [SY108: $i] :
~ ! [SY109: $i] :
( ~ ( cS @ SY108 @ SY109 )
| ! [SY110: $i] :
( ~ ( cF @ SY109 @ SY110 )
| ( cD @ SY110 @ ( sK22_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SY107 ) ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SV15 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(126,plain,
! [SV15: $i,SV12: $i,SV13: $i,SV11: $i] :
( ( ( ~ ( ~ ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) )
| ~ ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) ) ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(127,plain,
! [SV15: $i,SV12: $i,SV11: $i,SV13: $i] :
( ( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(128,plain,
! [SV16: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ~ ! [SY111: $i] :
~ ! [SY112: $i] :
( ~ ( cS @ SY111 @ SY112 )
| ! [SY113: $i] :
( ~ ( cF @ SY112 @ SY113 )
| ( cD @ SY113 @ ( sK21_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV16 ) ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV14 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(129,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( ~ ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) )
| ~ ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(130,plain,
! [SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ~ ! [SY114: $i] :
~ ! [SY115: $i] :
~ ! [SY116: $i] :
( ~ ( cS @ SY115 @ SY116 )
| ! [SY117: $i] :
( ~ ( cF @ SY116 @ SY117 )
| ( cD @ SY117 @ ( sK23_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SY114 ) ) ) )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[124]) ).
thf(131,plain,
! [SV17: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i] :
( ( ( ~ ! [SY118: $i] :
~ ! [SY119: $i] :
( ~ ( cS @ SY118 @ SY119 )
| ! [SY120: $i] :
( ~ ( cF @ SY119 @ SY120 )
| ( cD @ SY120 @ ( sK22_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV17 ) ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SV15 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(132,plain,
! [SV15: $i,SV12: $i,SV13: $i,SV11: $i] :
( ( ( ~ ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) )
| ~ ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(133,plain,
! [SV13: $i,SV11: $i,SV12: $i,SV15: $i] :
( ( ( ~ ! [SY121: $i] :
~ ! [SY122: $i] :
~ ! [SY123: $i] :
( ~ ( cS @ SY122 @ SY123 )
| ! [SY124: $i] :
( ~ ( cF @ SY123 @ SY124 )
| ( cD @ SY124 @ ( sK24_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SY121 ) ) ) )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[127]) ).
thf(134,plain,
! [SV16: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ! [SY111: $i] :
~ ! [SY112: $i] :
( ~ ( cS @ SY111 @ SY112 )
| ! [SY113: $i] :
( ~ ( cF @ SY112 @ SY113 )
| ( cD @ SY113 @ ( sK21_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV16 ) ) ) )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(135,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( ~ ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(136,plain,
! [SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ~ ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(137,plain,
! [SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ! [SY114: $i] :
~ ! [SY115: $i] :
~ ! [SY116: $i] :
( ~ ( cS @ SY115 @ SY116 )
| ! [SY117: $i] :
( ~ ( cF @ SY116 @ SY117 )
| ( cD @ SY117 @ ( sK23_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SY114 ) ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(138,plain,
! [SV17: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i] :
( ( ( ! [SY118: $i] :
~ ! [SY119: $i] :
( ~ ( cS @ SY118 @ SY119 )
| ! [SY120: $i] :
( ~ ( cF @ SY119 @ SY120 )
| ( cD @ SY120 @ ( sK22_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV17 ) ) ) )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(139,plain,
! [SV15: $i,SV12: $i,SV13: $i,SV11: $i] :
( ( ( ~ ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(140,plain,
! [SV11: $i,SV13: $i,SV12: $i,SV15: $i] :
( ( ( ~ ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(141,plain,
! [SV13: $i,SV11: $i,SV12: $i,SV15: $i] :
( ( ( ! [SY121: $i] :
~ ! [SY122: $i] :
~ ! [SY123: $i] :
( ~ ( cS @ SY122 @ SY123 )
| ! [SY124: $i] :
( ~ ( cF @ SY123 @ SY124 )
| ( cD @ SY124 @ ( sK24_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SY121 ) ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(142,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV16: $i] :
( ( ( ~ ! [SY125: $i] :
( ~ ( cS @ ( sK25_SY111 @ SV16 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SY125 )
| ! [SY113: $i] :
( ~ ( cF @ SY125 @ SY113 )
| ( cD @ SY113 @ ( sK21_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV16 ) ) ) )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV14 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[134]) ).
thf(143,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(144,plain,
! [SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(145,plain,
! [SV18: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ~ ! [SY127: $i] :
~ ! [SY128: $i] :
( ~ ( cS @ SY127 @ SY128 )
| ! [SY129: $i] :
( ~ ( cF @ SY128 @ SY129 )
| ( cD @ SY129 @ ( sK23_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV18 ) ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(146,plain,
! [SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV17: $i] :
( ( ( ~ ! [SY130: $i] :
( ~ ( cS @ ( sK26_SY118 @ SV17 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SY130 )
| ! [SY120: $i] :
( ~ ( cF @ SY130 @ SY120 )
| ( cD @ SY120 @ ( sK22_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV17 ) ) ) )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SV15 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[138]) ).
thf(147,plain,
! [SV15: $i,SV12: $i,SV13: $i,SV11: $i] :
( ( ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(148,plain,
! [SV11: $i,SV13: $i,SV12: $i,SV15: $i] :
( ( ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(149,plain,
! [SV19: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i] :
( ( ( ~ ! [SY132: $i] :
~ ! [SY133: $i] :
( ~ ( cS @ SY132 @ SY133 )
| ! [SY134: $i] :
( ~ ( cF @ SY133 @ SY134 )
| ( cD @ SY134 @ ( sK24_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV19 ) ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(150,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV16: $i] :
( ( ( ! [SY125: $i] :
( ~ ( cS @ ( sK25_SY111 @ SV16 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SY125 )
| ! [SY113: $i] :
( ~ ( cF @ SY125 @ SY113 )
| ( cD @ SY113 @ ( sK21_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV16 ) ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(151,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(152,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(153,plain,
! [SV18: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ! [SY127: $i] :
~ ! [SY128: $i] :
( ~ ( cS @ SY127 @ SY128 )
| ! [SY129: $i] :
( ~ ( cF @ SY128 @ SY129 )
| ( cD @ SY129 @ ( sK23_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV18 ) ) ) )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(154,plain,
! [SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV17: $i] :
( ( ( ! [SY130: $i] :
( ~ ( cS @ ( sK26_SY118 @ SV17 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SY130 )
| ! [SY120: $i] :
( ~ ( cF @ SY130 @ SY120 )
| ( cD @ SY120 @ ( sK22_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV17 ) ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SV15 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(155,plain,
! [SV15: $i,SV12: $i,SV11: $i,SV13: $i] :
( ( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(156,plain,
! [SV15: $i,SV12: $i,SV11: $i,SV13: $i] :
( ( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( cS @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( cF @ SX3 @ SX4 )
| ( cD @ SX4 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(157,plain,
! [SV19: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i] :
( ( ( ! [SY132: $i] :
~ ! [SY133: $i] :
( ~ ( cS @ SY132 @ SY133 )
| ! [SY134: $i] :
( ~ ( cF @ SY133 @ SY134 )
| ( cD @ SY134 @ ( sK24_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV19 ) ) ) )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(158,plain,
! [SV20: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV16: $i] :
( ( ( ~ ( cS @ ( sK25_SY111 @ SV16 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV20 )
| ! [SY135: $i] :
( ~ ( cF @ SV20 @ SY135 )
| ( cD @ SY135 @ ( sK21_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV16 ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV14 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(159,plain,
! [SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ~ ! [SY136: $i] :
~ ! [SY137: $i] :
~ ! [SY138: $i] :
( ~ ( cS @ SY137 @ SY138 )
| ! [SY139: $i] :
( ~ ( cF @ SY138 @ SY139 )
| ( cD @ SY139 @ ( sK27_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SY136 ) ) ) )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[151]) ).
thf(160,plain,
! [SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ~ ! [SY140: $i] :
~ ! [SY141: $i] :
~ ! [SY142: $i] :
( ~ ( cS @ SY141 @ SY142 )
| ! [SY143: $i] :
( ~ ( cF @ SY142 @ SY143 )
| ( cD @ SY143 @ ( sK28_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SY140 ) ) ) )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[152]) ).
thf(161,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV18: $i] :
( ( ( ~ ! [SY144: $i] :
( ~ ( cS @ ( sK29_SY127 @ SV18 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SY144 )
| ! [SY129: $i] :
( ~ ( cF @ SY144 @ SY129 )
| ( cD @ SY129 @ ( sK23_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV18 ) ) ) )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[153]) ).
thf(162,plain,
! [SV21: $i,SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV17: $i] :
( ( ( ~ ( cS @ ( sK26_SY118 @ SV17 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV21 )
| ! [SY146: $i] :
( ~ ( cF @ SV21 @ SY146 )
| ( cD @ SY146 @ ( sK22_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV17 ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SV15 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(163,plain,
! [SV13: $i,SV11: $i,SV12: $i,SV15: $i] :
( ( ( ~ ! [SY147: $i] :
~ ! [SY148: $i] :
~ ! [SY149: $i] :
( ~ ( cS @ SY148 @ SY149 )
| ! [SY150: $i] :
( ~ ( cF @ SY149 @ SY150 )
| ( cD @ SY150 @ ( sK30_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SY147 ) ) ) )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[155]) ).
thf(164,plain,
! [SV13: $i,SV11: $i,SV12: $i,SV15: $i] :
( ( ( ~ ! [SY151: $i] :
~ ! [SY152: $i] :
~ ! [SY153: $i] :
( ~ ( cS @ SY152 @ SY153 )
| ! [SY154: $i] :
( ~ ( cF @ SY153 @ SY154 )
| ( cD @ SY154 @ ( sK31_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SY151 ) ) ) )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[156]) ).
thf(165,plain,
! [SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV19: $i] :
( ( ( ~ ! [SY155: $i] :
( ~ ( cS @ ( sK32_SY132 @ SV19 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SY155 )
| ! [SY134: $i] :
( ~ ( cF @ SY155 @ SY134 )
| ( cD @ SY134 @ ( sK24_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV19 ) ) ) )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[157]) ).
thf(166,plain,
! [SV20: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV16: $i] :
( ( ( ~ ( cS @ ( sK25_SY111 @ SV16 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV20 ) )
= $true )
| ( ( ! [SY135: $i] :
( ~ ( cF @ SV20 @ SY135 )
| ( cD @ SY135 @ ( sK21_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV16 ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(167,plain,
! [SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ! [SY136: $i] :
~ ! [SY137: $i] :
~ ! [SY138: $i] :
( ~ ( cS @ SY137 @ SY138 )
| ! [SY139: $i] :
( ~ ( cF @ SY138 @ SY139 )
| ( cD @ SY139 @ ( sK27_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SY136 ) ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(168,plain,
! [SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ! [SY140: $i] :
~ ! [SY141: $i] :
~ ! [SY142: $i] :
( ~ ( cS @ SY141 @ SY142 )
| ! [SY143: $i] :
( ~ ( cF @ SY142 @ SY143 )
| ( cD @ SY143 @ ( sK28_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SY140 ) ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(169,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV18: $i] :
( ( ( ! [SY144: $i] :
( ~ ( cS @ ( sK29_SY127 @ SV18 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SY144 )
| ! [SY129: $i] :
( ~ ( cF @ SY144 @ SY129 )
| ( cD @ SY129 @ ( sK23_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV18 ) ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(170,plain,
! [SV21: $i,SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV17: $i] :
( ( ( ~ ( cS @ ( sK26_SY118 @ SV17 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV21 ) )
= $true )
| ( ( ! [SY146: $i] :
( ~ ( cF @ SV21 @ SY146 )
| ( cD @ SY146 @ ( sK22_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV17 ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(171,plain,
! [SV13: $i,SV11: $i,SV12: $i,SV15: $i] :
( ( ( ! [SY147: $i] :
~ ! [SY148: $i] :
~ ! [SY149: $i] :
( ~ ( cS @ SY148 @ SY149 )
| ! [SY150: $i] :
( ~ ( cF @ SY149 @ SY150 )
| ( cD @ SY150 @ ( sK30_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SY147 ) ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(172,plain,
! [SV13: $i,SV11: $i,SV12: $i,SV15: $i] :
( ( ( ! [SY151: $i] :
~ ! [SY152: $i] :
~ ! [SY153: $i] :
( ~ ( cS @ SY152 @ SY153 )
| ! [SY154: $i] :
( ~ ( cF @ SY153 @ SY154 )
| ( cD @ SY154 @ ( sK31_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SY151 ) ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(173,plain,
! [SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV19: $i] :
( ( ( ! [SY155: $i] :
( ~ ( cS @ ( sK32_SY132 @ SV19 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SY155 )
| ! [SY134: $i] :
( ~ ( cF @ SY155 @ SY134 )
| ( cD @ SY134 @ ( sK24_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV19 ) ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(174,plain,
! [SV20: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV16: $i] :
( ( ( cS @ ( sK25_SY111 @ SV16 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV20 )
= $false )
| ( ( ! [SY135: $i] :
( ~ ( cF @ SV20 @ SY135 )
| ( cD @ SY135 @ ( sK21_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV16 ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(175,plain,
! [SV22: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ~ ! [SY157: $i] :
~ ! [SY158: $i] :
( ~ ( cS @ SY157 @ SY158 )
| ! [SY159: $i] :
( ~ ( cF @ SY158 @ SY159 )
| ( cD @ SY159 @ ( sK27_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV22 ) ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(176,plain,
! [SV23: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ~ ! [SY160: $i] :
~ ! [SY161: $i] :
( ~ ( cS @ SY160 @ SY161 )
| ! [SY162: $i] :
( ~ ( cF @ SY161 @ SY162 )
| ( cD @ SY162 @ ( sK28_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV23 ) ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(177,plain,
! [SV24: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV18: $i] :
( ( ( ~ ( cS @ ( sK29_SY127 @ SV18 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV24 )
| ! [SY163: $i] :
( ~ ( cF @ SV24 @ SY163 )
| ( cD @ SY163 @ ( sK23_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV18 ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(178,plain,
! [SV21: $i,SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV17: $i] :
( ( ( cS @ ( sK26_SY118 @ SV17 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV21 )
= $false )
| ( ( ! [SY146: $i] :
( ~ ( cF @ SV21 @ SY146 )
| ( cD @ SY146 @ ( sK22_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV17 ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(179,plain,
! [SV25: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i] :
( ( ( ~ ! [SY164: $i] :
~ ! [SY165: $i] :
( ~ ( cS @ SY164 @ SY165 )
| ! [SY166: $i] :
( ~ ( cF @ SY165 @ SY166 )
| ( cD @ SY166 @ ( sK30_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV25 ) ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(180,plain,
! [SV26: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i] :
( ( ( ~ ! [SY167: $i] :
~ ! [SY168: $i] :
( ~ ( cS @ SY167 @ SY168 )
| ! [SY169: $i] :
( ~ ( cF @ SY168 @ SY169 )
| ( cD @ SY169 @ ( sK31_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV26 ) ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(181,plain,
! [SV27: $i,SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV19: $i] :
( ( ( ~ ( cS @ ( sK32_SY132 @ SV19 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV27 )
| ! [SY170: $i] :
( ~ ( cF @ SV27 @ SY170 )
| ( cD @ SY170 @ ( sK24_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV19 ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(182,plain,
! [SV16: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i,SV28: $i,SV20: $i] :
( ( ( ~ ( cF @ SV20 @ SV28 )
| ( cD @ SV28 @ ( sK21_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV16 ) )
= $true )
| ( ( cS @ ( sK25_SY111 @ SV16 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV20 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV14 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(183,plain,
! [SV22: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ! [SY157: $i] :
~ ! [SY158: $i] :
( ~ ( cS @ SY157 @ SY158 )
| ! [SY159: $i] :
( ~ ( cF @ SY158 @ SY159 )
| ( cD @ SY159 @ ( sK27_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV22 ) ) ) )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(184,plain,
! [SV23: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ! [SY160: $i] :
~ ! [SY161: $i] :
( ~ ( cS @ SY160 @ SY161 )
| ! [SY162: $i] :
( ~ ( cF @ SY161 @ SY162 )
| ( cD @ SY162 @ ( sK28_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV23 ) ) ) )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(185,plain,
! [SV24: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV18: $i] :
( ( ( ~ ( cS @ ( sK29_SY127 @ SV18 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV24 ) )
= $true )
| ( ( ! [SY163: $i] :
( ~ ( cF @ SV24 @ SY163 )
| ( cD @ SY163 @ ( sK23_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV18 ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(186,plain,
! [SV17: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i,SV29: $i,SV21: $i] :
( ( ( ~ ( cF @ SV21 @ SV29 )
| ( cD @ SV29 @ ( sK22_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV17 ) )
= $true )
| ( ( cS @ ( sK26_SY118 @ SV17 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV21 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SV15 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(187,plain,
! [SV25: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i] :
( ( ( ! [SY164: $i] :
~ ! [SY165: $i] :
( ~ ( cS @ SY164 @ SY165 )
| ! [SY166: $i] :
( ~ ( cF @ SY165 @ SY166 )
| ( cD @ SY166 @ ( sK30_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV25 ) ) ) )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(188,plain,
! [SV26: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i] :
( ( ( ! [SY167: $i] :
~ ! [SY168: $i] :
( ~ ( cS @ SY167 @ SY168 )
| ! [SY169: $i] :
( ~ ( cF @ SY168 @ SY169 )
| ( cD @ SY169 @ ( sK31_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV26 ) ) ) )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(189,plain,
! [SV27: $i,SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV19: $i] :
( ( ( ~ ( cS @ ( sK32_SY132 @ SV19 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV27 ) )
= $true )
| ( ( ! [SY170: $i] :
( ~ ( cF @ SV27 @ SY170 )
| ( cD @ SY170 @ ( sK24_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV19 ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(190,plain,
! [SV16: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i,SV28: $i,SV20: $i] :
( ( ( ~ ( cF @ SV20 @ SV28 ) )
= $true )
| ( ( cD @ SV28 @ ( sK21_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV16 )
= $true )
| ( ( cS @ ( sK25_SY111 @ SV16 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV20 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(191,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV22: $i] :
( ( ( ~ ! [SY171: $i] :
( ~ ( cS @ ( sK33_SY157 @ SV22 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SY171 )
| ! [SY159: $i] :
( ~ ( cF @ SY171 @ SY159 )
| ( cD @ SY159 @ ( sK27_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV22 ) ) ) )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[183]) ).
thf(192,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV23: $i] :
( ( ( ~ ! [SY173: $i] :
( ~ ( cS @ ( sK34_SY160 @ SV23 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SY173 )
| ! [SY162: $i] :
( ~ ( cF @ SY173 @ SY162 )
| ( cD @ SY162 @ ( sK28_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV23 ) ) ) )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[184]) ).
thf(193,plain,
! [SV24: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV18: $i] :
( ( ( cS @ ( sK29_SY127 @ SV18 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV24 )
= $false )
| ( ( ! [SY163: $i] :
( ~ ( cF @ SV24 @ SY163 )
| ( cD @ SY163 @ ( sK23_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV18 ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(194,plain,
! [SV17: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i,SV29: $i,SV21: $i] :
( ( ( ~ ( cF @ SV21 @ SV29 ) )
= $true )
| ( ( cD @ SV29 @ ( sK22_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV17 )
= $true )
| ( ( cS @ ( sK26_SY118 @ SV17 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV21 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(195,plain,
! [SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV25: $i] :
( ( ( ~ ! [SY175: $i] :
( ~ ( cS @ ( sK35_SY164 @ SV25 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SY175 )
| ! [SY166: $i] :
( ~ ( cF @ SY175 @ SY166 )
| ( cD @ SY166 @ ( sK30_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV25 ) ) ) )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[187]) ).
thf(196,plain,
! [SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV26: $i] :
( ( ( ~ ! [SY177: $i] :
( ~ ( cS @ ( sK36_SY167 @ SV26 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SY177 )
| ! [SY169: $i] :
( ~ ( cF @ SY177 @ SY169 )
| ( cD @ SY169 @ ( sK31_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV26 ) ) ) )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[188]) ).
thf(197,plain,
! [SV27: $i,SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV19: $i] :
( ( ( cS @ ( sK32_SY132 @ SV19 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV27 )
= $false )
| ( ( ! [SY170: $i] :
( ~ ( cF @ SV27 @ SY170 )
| ( cD @ SY170 @ ( sK24_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV19 ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(198,plain,
! [SV16: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i,SV28: $i,SV20: $i] :
( ( ( cF @ SV20 @ SV28 )
= $false )
| ( ( cD @ SV28 @ ( sK21_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV16 )
= $true )
| ( ( cS @ ( sK25_SY111 @ SV16 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV20 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(199,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV22: $i] :
( ( ( ! [SY171: $i] :
( ~ ( cS @ ( sK33_SY157 @ SV22 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SY171 )
| ! [SY159: $i] :
( ~ ( cF @ SY171 @ SY159 )
| ( cD @ SY159 @ ( sK27_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV22 ) ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(200,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV23: $i] :
( ( ( ! [SY173: $i] :
( ~ ( cS @ ( sK34_SY160 @ SV23 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SY173 )
| ! [SY162: $i] :
( ~ ( cF @ SY173 @ SY162 )
| ( cD @ SY162 @ ( sK28_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV23 ) ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(201,plain,
! [SV18: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i,SV30: $i,SV24: $i] :
( ( ( ~ ( cF @ SV24 @ SV30 )
| ( cD @ SV30 @ ( sK23_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV18 ) )
= $true )
| ( ( cS @ ( sK29_SY127 @ SV18 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV24 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(202,plain,
! [SV17: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i,SV29: $i,SV21: $i] :
( ( ( cF @ SV21 @ SV29 )
= $false )
| ( ( cD @ SV29 @ ( sK22_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV17 )
= $true )
| ( ( cS @ ( sK26_SY118 @ SV17 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV21 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(203,plain,
! [SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV25: $i] :
( ( ( ! [SY175: $i] :
( ~ ( cS @ ( sK35_SY164 @ SV25 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SY175 )
| ! [SY166: $i] :
( ~ ( cF @ SY175 @ SY166 )
| ( cD @ SY166 @ ( sK30_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV25 ) ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(204,plain,
! [SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV26: $i] :
( ( ( ! [SY177: $i] :
( ~ ( cS @ ( sK36_SY167 @ SV26 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SY177 )
| ! [SY169: $i] :
( ~ ( cF @ SY177 @ SY169 )
| ( cD @ SY169 @ ( sK31_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV26 ) ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(205,plain,
! [SV19: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i,SV31: $i,SV27: $i] :
( ( ( ~ ( cF @ SV27 @ SV31 )
| ( cD @ SV31 @ ( sK24_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV19 ) )
= $true )
| ( ( cS @ ( sK32_SY132 @ SV19 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV27 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(206,plain,
! [SV32: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV22: $i] :
( ( ( ~ ( cS @ ( sK33_SY157 @ SV22 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV32 )
| ! [SY179: $i] :
( ~ ( cF @ SV32 @ SY179 )
| ( cD @ SY179 @ ( sK27_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV22 ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(207,plain,
! [SV33: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV23: $i] :
( ( ( ~ ( cS @ ( sK34_SY160 @ SV23 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV33 )
| ! [SY180: $i] :
( ~ ( cF @ SV33 @ SY180 )
| ( cD @ SY180 @ ( sK28_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV23 ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(208,plain,
! [SV18: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i,SV30: $i,SV24: $i] :
( ( ( ~ ( cF @ SV24 @ SV30 ) )
= $true )
| ( ( cD @ SV30 @ ( sK23_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV18 )
= $true )
| ( ( cS @ ( sK29_SY127 @ SV18 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV24 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(209,plain,
! [SV34: $i,SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV25: $i] :
( ( ( ~ ( cS @ ( sK35_SY164 @ SV25 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV34 )
| ! [SY181: $i] :
( ~ ( cF @ SV34 @ SY181 )
| ( cD @ SY181 @ ( sK30_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV25 ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(210,plain,
! [SV35: $i,SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV26: $i] :
( ( ( ~ ( cS @ ( sK36_SY167 @ SV26 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV35 )
| ! [SY182: $i] :
( ~ ( cF @ SV35 @ SY182 )
| ( cD @ SY182 @ ( sK31_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV26 ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(211,plain,
! [SV19: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i,SV31: $i,SV27: $i] :
( ( ( ~ ( cF @ SV27 @ SV31 ) )
= $true )
| ( ( cD @ SV31 @ ( sK24_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV19 )
= $true )
| ( ( cS @ ( sK32_SY132 @ SV19 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV27 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(212,plain,
! [SV32: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV22: $i] :
( ( ( ~ ( cS @ ( sK33_SY157 @ SV22 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV32 ) )
= $true )
| ( ( ! [SY179: $i] :
( ~ ( cF @ SV32 @ SY179 )
| ( cD @ SY179 @ ( sK27_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV22 ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(213,plain,
! [SV33: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV23: $i] :
( ( ( ~ ( cS @ ( sK34_SY160 @ SV23 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV33 ) )
= $true )
| ( ( ! [SY180: $i] :
( ~ ( cF @ SV33 @ SY180 )
| ( cD @ SY180 @ ( sK28_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV23 ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(214,plain,
! [SV18: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i,SV30: $i,SV24: $i] :
( ( ( cF @ SV24 @ SV30 )
= $false )
| ( ( cD @ SV30 @ ( sK23_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV18 )
= $true )
| ( ( cS @ ( sK29_SY127 @ SV18 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV24 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK11_SX0 @ SV13 @ SV12 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(215,plain,
! [SV34: $i,SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV25: $i] :
( ( ( ~ ( cS @ ( sK35_SY164 @ SV25 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV34 ) )
= $true )
| ( ( ! [SY181: $i] :
( ~ ( cF @ SV34 @ SY181 )
| ( cD @ SY181 @ ( sK30_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV25 ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(216,plain,
! [SV35: $i,SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV26: $i] :
( ( ( ~ ( cS @ ( sK36_SY167 @ SV26 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV35 ) )
= $true )
| ( ( ! [SY182: $i] :
( ~ ( cF @ SV35 @ SY182 )
| ( cD @ SY182 @ ( sK31_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV26 ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(217,plain,
! [SV19: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i,SV31: $i,SV27: $i] :
( ( ( cF @ SV27 @ SV31 )
= $false )
| ( ( cD @ SV31 @ ( sK24_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV19 )
= $true )
| ( ( cS @ ( sK32_SY132 @ SV19 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV27 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cD @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK12_SX0 @ SV12 @ SV13 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(218,plain,
! [SV32: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV22: $i] :
( ( ( cS @ ( sK33_SY157 @ SV22 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV32 )
= $false )
| ( ( ! [SY179: $i] :
( ~ ( cF @ SV32 @ SY179 )
| ( cD @ SY179 @ ( sK27_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV22 ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(219,plain,
! [SV33: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV23: $i] :
( ( ( cS @ ( sK34_SY160 @ SV23 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV33 )
= $false )
| ( ( ! [SY180: $i] :
( ~ ( cF @ SV33 @ SY180 )
| ( cD @ SY180 @ ( sK28_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV23 ) ) )
= $true )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(220,plain,
! [SV34: $i,SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV25: $i] :
( ( ( cS @ ( sK35_SY164 @ SV25 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV34 )
= $false )
| ( ( ! [SY181: $i] :
( ~ ( cF @ SV34 @ SY181 )
| ( cD @ SY181 @ ( sK30_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV25 ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(221,plain,
! [SV35: $i,SV15: $i,SV12: $i,SV11: $i,SV13: $i,SV26: $i] :
( ( ( cS @ ( sK36_SY167 @ SV26 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV35 )
= $false )
| ( ( ! [SY182: $i] :
( ~ ( cF @ SV35 @ SY182 )
| ( cD @ SY182 @ ( sK31_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV26 ) ) )
= $true )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(222,plain,
! [SV22: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i,SV36: $i,SV32: $i] :
( ( ( ~ ( cF @ SV32 @ SV36 )
| ( cD @ SV36 @ ( sK27_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV22 ) )
= $true )
| ( ( cS @ ( sK33_SY157 @ SV22 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV32 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(223,plain,
! [SV23: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i,SV37: $i,SV33: $i] :
( ( ( ~ ( cF @ SV33 @ SV37 )
| ( cD @ SV37 @ ( sK28_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV23 ) )
= $true )
| ( ( cS @ ( sK34_SY160 @ SV23 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV33 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(224,plain,
! [SV25: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i,SV38: $i,SV34: $i] :
( ( ( ~ ( cF @ SV34 @ SV38 )
| ( cD @ SV38 @ ( sK30_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV25 ) )
= $true )
| ( ( cS @ ( sK35_SY164 @ SV25 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV34 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(225,plain,
! [SV26: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i,SV39: $i,SV35: $i] :
( ( ( ~ ( cF @ SV35 @ SV39 )
| ( cD @ SV39 @ ( sK31_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV26 ) )
= $true )
| ( ( cS @ ( sK36_SY167 @ SV26 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV35 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(226,plain,
! [SV22: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i,SV36: $i,SV32: $i] :
( ( ( ~ ( cF @ SV32 @ SV36 ) )
= $true )
| ( ( cD @ SV36 @ ( sK27_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV22 )
= $true )
| ( ( cS @ ( sK33_SY157 @ SV22 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV32 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(227,plain,
! [SV23: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i,SV37: $i,SV33: $i] :
( ( ( ~ ( cF @ SV33 @ SV37 ) )
= $true )
| ( ( cD @ SV37 @ ( sK28_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV23 )
= $true )
| ( ( cS @ ( sK34_SY160 @ SV23 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV33 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(228,plain,
! [SV25: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i,SV38: $i,SV34: $i] :
( ( ( ~ ( cF @ SV34 @ SV38 ) )
= $true )
| ( ( cD @ SV38 @ ( sK30_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV25 )
= $true )
| ( ( cS @ ( sK35_SY164 @ SV25 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV34 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(229,plain,
! [SV26: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i,SV39: $i,SV35: $i] :
( ( ( ~ ( cF @ SV35 @ SV39 ) )
= $true )
| ( ( cD @ SV39 @ ( sK31_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV26 )
= $true )
| ( ( cS @ ( sK36_SY167 @ SV26 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV35 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(230,plain,
! [SV22: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i,SV36: $i,SV32: $i] :
( ( ( cF @ SV32 @ SV36 )
= $false )
| ( ( cD @ SV36 @ ( sK27_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV22 )
= $true )
| ( ( cS @ ( sK33_SY157 @ SV22 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV32 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK13_SY83 @ SV11 @ SV12 @ SV13 @ SV14 ) @ ( sK17_SY97 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(231,plain,
! [SV23: $i,SV11: $i,SV12: $i,SV13: $i,SV14: $i,SV37: $i,SV33: $i] :
( ( ( cF @ SV33 @ SV37 )
= $false )
| ( ( cD @ SV37 @ ( sK28_SX0 @ SV14 @ SV13 @ SV12 @ SV11 ) @ SV23 )
= $true )
| ( ( cS @ ( sK34_SY160 @ SV23 @ SV11 @ SV12 @ SV13 @ SV14 ) @ SV33 )
= $false )
| ( ( cD @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) @ SV12 @ ( sK9_SY67 @ SV11 @ SV12 ) )
= $false )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK15_SY91 @ SV14 @ SV13 @ SV12 @ SV11 ) @ ( sK19_SY101 @ SV14 @ SV13 @ SV12 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(232,plain,
! [SV25: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i,SV38: $i,SV34: $i] :
( ( ( cF @ SV34 @ SV38 )
= $false )
| ( ( cD @ SV38 @ ( sK30_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV25 )
= $true )
| ( ( cS @ ( sK35_SY164 @ SV25 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV34 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK14_SY87 @ SV11 @ SV13 @ SV12 @ SV15 ) @ ( sK18_SY99 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(233,plain,
! [SV26: $i,SV13: $i,SV11: $i,SV12: $i,SV15: $i,SV39: $i,SV35: $i] :
( ( ( cF @ SV35 @ SV39 )
= $false )
| ( ( cD @ SV39 @ ( sK31_SX0 @ SV15 @ SV12 @ SV11 @ SV13 ) @ SV26 )
= $true )
| ( ( cS @ ( sK36_SY167 @ SV26 @ SV13 @ SV11 @ SV12 @ SV15 ) @ SV35 )
= $false )
| ( ( cS @ SV13 @ ( sK10_SY72 @ SV11 @ SV12 @ SV13 ) )
= $true )
| ( ( cF @ sK7_SX0 @ SV11 )
= $false )
| ( ( cF @ ( sK16_SY94 @ SV15 @ SV12 @ SV13 @ SV11 ) @ ( sK20_SY102 @ SV15 @ SV12 @ SV13 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(234,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[37,233,232,231,230,217,214,202,198,81,73,70,65,63]) ).
thf(235,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO384^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.16 % Computer : n005.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Oct 6 17:38:55 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.24
% 0.09/0.24 No.of.Axioms: 0
% 0.09/0.24
% 0.09/0.24 Length.of.Defs: 0
% 0.09/0.24
% 0.09/0.24 Contains.Choice.Funs: false
% 0.09/0.24 ..........
% 0.09/0.24
% 0.09/0.24 ********************************
% 0.09/0.24 * All subproblems solved! *
% 0.09/0.24 ********************************
% 0.09/0.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,ps:3,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:234,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.09/0.24
% 0.09/0.24 %**** Beginning of derivation protocol ****
% 0.09/0.24 % SZS output start CNFRefutation
% See solution above
% 0.09/0.25
% 0.09/0.25 %**** End of derivation protocol ****
% 0.09/0.25 %**** no. of clauses in derivation: 235 ****
% 0.09/0.25 %**** clause counter: 234 ****
% 0.09/0.25
% 0.09/0.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,ps:3,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:234,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------