TSTP Solution File: SEV242^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV242^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 17:35:50 EDT 2022
% Result : Theorem 146.28s 146.63s
% Output : CNFRefutation 146.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 11
% Syntax : Number of formulae : 822 ( 21 unt; 10 typ; 0 def)
% Number of atoms : 7474 (3483 equ; 0 cnn)
% Maximal formula atoms : 6 ( 9 avg)
% Number of connectives : 10354 (1921 ~;2504 |; 10 &;5907 @)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1162 (1162 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 2737 ( 915 ^1816 !; 6 ?;2737 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK10_SV38,type,
sK10_SV38: ( $i > $o ) > $i ).
thf(tp_sK1_T,type,
sK1_T: ( $i > $o ) > $o ).
thf(tp_sK2_SY299,type,
sK2_SY299: $i > $o ).
thf(tp_sK3_SY304,type,
sK3_SY304: $i > $o ).
thf(tp_sK4_X,type,
sK4_X: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK5_E,type,
sK5_E: $i ).
thf(tp_sK6_SY318,type,
sK6_SY318: $i > $o ).
thf(tp_sK7_SV35,type,
sK7_SV35: ( $i > $o ) > $i ).
thf(tp_sK8_SV36,type,
sK8_SV36: ( $i > $o ) > $i ).
thf(tp_sK9_SV37,type,
sK9_SV37: ( $i > $o ) > $i ).
thf(1,conjecture,
( ! [P: $i > $o,Q: $i > $o] :
( ! [X: $i] :
( ( P @ X )
<=> ( Q @ X ) )
=> ( P = Q ) )
=> ! [T: ( $i > $o ) > $o,U: $i > $o,V: $i > $o] :
( ( T
@ ^ [Xx: $i] :
? [S: $i > $o] :
( ( ( S = U )
| ( S = V ) )
& ( S @ Xx ) ) )
=> ( T
@ ^ [Xz: $i] :
( ( U @ Xz )
| ( V @ Xz ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM4A_pme) ).
thf(2,negated_conjecture,
( ( ! [P: $i > $o,Q: $i > $o] :
( ! [X: $i] :
( ( P @ X )
<=> ( Q @ X ) )
=> ( P = Q ) )
=> ! [T: ( $i > $o ) > $o,U: $i > $o,V: $i > $o] :
( ( T
@ ^ [Xx: $i] :
? [S: $i > $o] :
( ( ( S = U )
| ( S = V ) )
& ( S @ Xx ) ) )
=> ( T
@ ^ [Xz: $i] :
( ( U @ Xz )
| ( V @ Xz ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [P: $i > $o,Q: $i > $o] :
( ! [X: $i] :
( ( P @ X )
<=> ( Q @ X ) )
=> ( P = Q ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [T: ( $i > $o ) > $o,U: $i > $o,V: $i > $o] :
( ( T
@ ^ [Xx: $i] :
? [S: $i > $o] :
( ( ( S = U )
| ( S = V ) )
& ( S @ Xx ) ) )
=> ( T
@ ^ [Xz: $i] :
( ( U @ Xz )
| ( V @ Xz ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[2]) ).
thf(5,plain,
( ( ~ ! [T: ( $i > $o ) > $o,U: $i > $o,V: $i > $o] :
( ( T
@ ^ [Xx: $i] :
? [S: $i > $o] :
( ( ( S = U )
| ( S = V ) )
& ( S @ Xx ) ) )
=> ( T
@ ^ [Xz: $i] :
( ( U @ Xz )
| ( V @ Xz ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
( ( ( sK1_T
@ ^ [SY308: $i] :
? [SY309: $i > $o] :
( ( ( SY309 = sK2_SY299 )
| ( SY309 = sK3_SY304 ) )
& ( SY309 @ SY308 ) ) )
& ~ ( sK1_T
@ ^ [SY310: $i] :
( ( sK2_SY299 @ SY310 )
| ( sK3_SY304 @ SY310 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [P: $i > $o,Q: $i > $o] :
( ( ( ~ ( P @ ( sK4_X @ Q @ P ) )
| ~ ( Q @ ( sK4_X @ Q @ P ) ) )
& ( ( P @ ( sK4_X @ Q @ P ) )
| ( Q @ ( sK4_X @ Q @ P ) ) ) )
| ( P = Q ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[3]) ).
thf(8,plain,
( ( ! [P: $i > $o,Q: $i > $o] :
( ( ( ~ ( P @ ( sK4_X @ Q @ P ) )
| ~ ( Q @ ( sK4_X @ Q @ P ) ) )
& ( ( P @ ( sK4_X @ Q @ P ) )
| ( Q @ ( sK4_X @ Q @ P ) ) ) )
| ( P = Q ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(9,plain,
( ( ( sK1_T
@ ^ [SY308: $i] :
? [SY309: $i > $o] :
( ( ( SY309 = sK2_SY299 )
| ( SY309 = sK3_SY304 ) )
& ( SY309 @ SY308 ) ) )
& ~ ( sK1_T
@ ^ [SY310: $i] :
( ( sK2_SY299 @ SY310 )
| ( sK3_SY304 @ SY310 ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(10,plain,
( ( ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK4_X @ SX1 @ SX0 ) )
| ~ ( SX1 @ ( sK4_X @ SX1 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK4_X @ SX1 @ SX0 ) )
| ( SX1 @ ( sK4_X @ SX1 @ SX0 ) ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ( ~ ( sK1_T
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( ( SX1 = sK2_SY299 )
| ( SX1 = sK3_SY304 ) )
| ~ ( SX1 @ SX0 ) ) )
| ~ ~ ( sK1_T
@ ^ [SX0: $i] :
( ( sK2_SY299 @ SX0 )
| ( sK3_SY304 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(12,plain,
! [SV1: $i > $o] :
( ( ! [SY311: $i > $o] :
( ~ ( ~ ( ~ ( SV1 @ ( sK4_X @ SY311 @ SV1 ) )
| ~ ( SY311 @ ( sK4_X @ SY311 @ SV1 ) ) )
| ~ ( ( SV1 @ ( sK4_X @ SY311 @ SV1 ) )
| ( SY311 @ ( sK4_X @ SY311 @ SV1 ) ) ) )
| ( SV1 = SY311 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ( sK1_T
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( ( SX1 = sK2_SY299 )
| ( SX1 = sK3_SY304 ) )
| ~ ( SX1 @ SX0 ) ) )
| ~ ~ ( sK1_T
@ ^ [SX0: $i] :
( ( sK2_SY299 @ SX0 )
| ( sK3_SY304 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(14,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ~ ( ~ ( ~ ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
| ~ ( SV2 @ ( sK4_X @ SV2 @ SV1 ) ) )
| ~ ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
| ( SV2 @ ( sK4_X @ SV2 @ SV1 ) ) ) )
| ( SV1 = SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( sK1_T
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( ( SX1 = sK2_SY299 )
| ( SX1 = sK3_SY304 ) )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ~ ( sK1_T
@ ^ [SX0: $i] :
( ( sK2_SY299 @ SX0 )
| ( sK3_SY304 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(17,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
| ~ ( SV2 @ ( sK4_X @ SV2 @ SV1 ) ) )
| ~ ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
| ( SV2 @ ( sK4_X @ SV2 @ SV1 ) ) ) ) )
= $true )
| ( ( SV1 = SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[14]) ).
thf(18,plain,
( ( sK1_T
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( ( SX1 = sK2_SY299 )
| ( SX1 = sK3_SY304 ) )
| ~ ( SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ( sK1_T
@ ^ [SX0: $i] :
( ( sK2_SY299 @ SX0 )
| ( sK3_SY304 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
| ~ ( SV2 @ ( sK4_X @ SV2 @ SV1 ) ) )
| ~ ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
| ( SV2 @ ( sK4_X @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( SV1 = SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(21,plain,
( ( sK1_T
@ ^ [SX0: $i] :
( ( sK2_SY299 @ SX0 )
| ( sK3_SY304 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(22,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
| ~ ( SV2 @ ( sK4_X @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( SV1 = SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(23,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ~ ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
| ( SV2 @ ( sK4_X @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( SV1 = SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(24,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
| ~ ( SV2 @ ( sK4_X @ SV2 @ SV1 ) ) )
= $true )
| ( ( SV1 = SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(25,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
| ( SV2 @ ( sK4_X @ SV2 @ SV1 ) ) )
= $true )
| ( ( SV1 = SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(26,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK4_X @ SV2 @ SV1 ) ) )
= $true )
| ( ( ~ ( SV2 @ ( sK4_X @ SV2 @ SV1 ) ) )
= $true )
| ( ( SV1 = SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(27,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 = SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(28,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( SV2 @ ( sK4_X @ SV2 @ SV1 ) ) )
= $true )
| ( ( SV1 = SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(29,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ! [SV3: $i] :
( ( SV1 @ SV3 )
= ( SV2 @ SV3 ) ) )
= $true )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[27]) ).
thf(30,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( SV1 = SV2 )
= $true )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV1: $i > $o,SV2: $i > $o] :
( ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 = SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ( SV1 @ SV4 )
= ( SV2 @ SV4 ) )
= $true )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(33,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ! [SV5: $i] :
( ( SV1 @ SV5 )
= ( SV2 @ SV5 ) ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( SV1 = SV2 )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ~ ( ( SV1 @ SV4 )
| ( SV2 @ SV4 ) )
| ~ ( ~ ( SV1 @ SV4 )
| ~ ( SV2 @ SV4 ) ) )
= $true )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ( SV1 @ SV4 )
= ( SV2 @ SV4 ) )
= $true )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV2: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ( SV1 @ SV6 )
= ( SV2 @ SV6 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(38,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ~ ( ( SV1 @ SV4 )
| ( SV2 @ SV4 ) ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ SV4 )
| ~ ( SV2 @ SV4 ) ) )
= $true )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(39,plain,
! [SV2: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ~ ( ( SV1 @ SV6 )
| ( SV2 @ SV6 ) )
| ~ ( ~ ( SV1 @ SV6 )
| ~ ( SV2 @ SV6 ) ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[37]) ).
thf(40,plain,
! [SV2: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ( SV1 @ SV6 )
= ( SV2 @ SV6 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[37]) ).
thf(41,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ( SV1 @ SV4 )
| ( SV2 @ SV4 ) )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV4 )
| ~ ( SV2 @ SV4 ) ) )
= $true )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(42,plain,
! [SV2: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ~ ( ( SV1 @ SV6 )
| ( SV2 @ SV6 ) ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ SV6 )
| ~ ( SV2 @ SV6 ) ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(43,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( SV1 @ SV4 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV4 )
| ~ ( SV2 @ SV4 ) ) )
= $true )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(44,plain,
! [SV1: $i > $o,SV4: $i,SV2: $i > $o] :
( ( ( SV2 @ SV4 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV4 )
| ~ ( SV2 @ SV4 ) ) )
= $true )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(45,plain,
! [SV2: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ( SV1 @ SV6 )
| ( SV2 @ SV6 ) )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV6 )
| ~ ( SV2 @ SV6 ) ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(46,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV4 )
| ~ ( SV2 @ SV4 ) )
= $false )
| ( ( SV1 @ SV4 )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(47,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV4 )
| ~ ( SV2 @ SV4 ) )
= $false )
| ( ( SV2 @ SV4 )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(48,plain,
! [SV2: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( SV1 @ SV6 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV6 )
| ~ ( SV2 @ SV6 ) ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(49,plain,
! [SV1: $i > $o,SV6: $i,SV2: $i > $o] :
( ( ( SV2 @ SV6 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV6 )
| ~ ( SV2 @ SV6 ) ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(51,plain,
! [SV1: $i > $o,SV4: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ SV4 ) )
= $false )
| ( ( SV1 @ SV4 )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(52,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV4 ) )
= $false )
| ( ( SV2 @ SV4 )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(54,plain,
! [SV2: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV6 )
| ~ ( SV2 @ SV6 ) )
= $false )
| ( ( SV1 @ SV6 )
= $false )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(55,plain,
! [SV2: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV6 )
| ~ ( SV2 @ SV6 ) )
= $false )
| ( ( SV2 @ SV6 )
= $false )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(57,plain,
! [SV1: $i > $o,SV4: $i,SV2: $i > $o] :
( ( ( SV2 @ SV4 )
= $true )
| ( ( SV1 @ SV4 )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(58,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( SV1 @ SV4 )
= $true )
| ( ( SV2 @ SV4 )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(61,plain,
! [SV1: $i > $o,SV6: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ SV6 ) )
= $false )
| ( ( SV1 @ SV6 )
= $false )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(62,plain,
! [SV2: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV6 ) )
= $false )
| ( ( SV2 @ SV6 )
= $false )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(65,plain,
! [SV1: $i > $o,SV6: $i,SV2: $i > $o] :
( ( ( SV2 @ SV6 )
= $true )
| ( ( SV1 @ SV6 )
= $false )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(66,plain,
! [SV2: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( SV1 @ SV6 )
= $true )
| ( ( SV2 @ SV6 )
= $false )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(73,plain,
! [SV2: $i > $o] :
( ( ( ( ^ [SX0: $i] : $false )
= SV2 )
= $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV1,$thf( ^ [SV13: $i] : $false ))]]) ).
thf(74,plain,
! [SV2: $i > $o,SV12: $i > $o] :
( ( ( ( ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= SV2 )
= $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV1,$thf( ^ [SV11: $i] : ~ ( SV12 @ SV11 ) ))]]) ).
thf(76,plain,
! [SV1: $i > $o] :
( ( ( SV1
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV2,$thf( ^ [SV17: $i] : $false ))]]) ).
thf(77,plain,
! [SV16: $i > $o,SV1: $i > $o] :
( ( ( SV1
= ( ^ [SX0: $i] :
~ ( SV16 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV2,$thf( ^ [SV15: $i] : ~ ( SV16 @ SV15 ) ))]]) ).
thf(78,plain,
! [SV2: $i > $o] :
( ( ( ( ^ [SX0: $i] : $true )
= SV2 )
= $true )
| ( $true = $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[34:[bind(SV1,$thf( ^ [SV14: $i] : $true ))]]) ).
thf(80,plain,
! [SV2: $i > $o,SV12: $i > $o] :
( ( ( ( ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= SV2 )
= $true )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[34:[bind(SV1,$thf( ^ [SV11: $i] : ~ ( SV12 @ SV11 ) ))]]) ).
thf(81,plain,
! [SV1: $i > $o] :
( ( ( SV1
= ( ^ [SX0: $i] : $true ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV1 ) )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[34:[bind(SV2,$thf( ^ [SV18: $i] : $true ))]]) ).
thf(83,plain,
! [SV16: $i > $o,SV1: $i > $o] :
( ( ( SV1
= ( ^ [SX0: $i] :
~ ( SV16 @ SX0 ) ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[34:[bind(SV2,$thf( ^ [SV15: $i] : ~ ( SV16 @ SV15 ) ))]]) ).
thf(85,plain,
! [SV4: $i,SV2: $i > $o] :
( ( ( $false
= ( SV2 @ SV4 ) )
= $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[36:[bind(SV1,$thf( ^ [SV13: $i] : $false ))]]) ).
thf(86,plain,
! [SV2: $i > $o,SV4: $i,SV12: $i > $o] :
( ( ( ( ~ ( SV12 @ SV4 ) )
= ( SV2 @ SV4 ) )
= $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[36:[bind(SV1,$thf( ^ [SV11: $i] : ~ ( SV12 @ SV11 ) ))]]) ).
thf(88,plain,
! [SV4: $i,SV1: $i > $o] :
( ( ( ( SV1 @ SV4 )
= $false )
= $true )
| ( $false = $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[36:[bind(SV2,$thf( ^ [SV17: $i] : $false ))]]) ).
thf(89,plain,
! [SV16: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ( SV1 @ SV4 )
= ( ~ ( SV16 @ SV4 ) ) )
= $true )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[36:[bind(SV2,$thf( ^ [SV15: $i] : ~ ( SV16 @ SV15 ) ))]]) ).
thf(90,plain,
! [SV6: $i,SV2: $i > $o] :
( ( ( $true
= ( SV2 @ SV6 ) )
= $true )
| ( $true = $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[40:[bind(SV1,$thf( ^ [SV14: $i] : $true ))]]) ).
thf(92,plain,
! [SV2: $i > $o,SV6: $i,SV12: $i > $o] :
( ( ( ( ~ ( SV12 @ SV6 ) )
= ( SV2 @ SV6 ) )
= $true )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[40:[bind(SV1,$thf( ^ [SV11: $i] : ~ ( SV12 @ SV11 ) ))]]) ).
thf(93,plain,
! [SV6: $i,SV1: $i > $o] :
( ( ( ( SV1 @ SV6 )
= $true )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV1 ) )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[40:[bind(SV2,$thf( ^ [SV18: $i] : $true ))]]) ).
thf(95,plain,
! [SV16: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ( SV1 @ SV6 )
= ( ~ ( SV16 @ SV6 ) ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[40:[bind(SV2,$thf( ^ [SV15: $i] : ~ ( SV16 @ SV15 ) ))]]) ).
thf(104,plain,
! [SV12: $i > $o,SV4: $i,SV2: $i > $o] :
( ( ( SV2 @ SV4 )
= $true )
| ( ( ~ ( SV12 @ SV4 ) )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[57:[bind(SV1,$thf( ^ [SV11: $i] : ~ ( SV12 @ SV11 ) ))]]) ).
thf(106,plain,
! [SV4: $i,SV1: $i > $o] :
( ( $false = $true )
| ( ( SV1 @ SV4 )
= $false )
| ( $false = $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[57:[bind(SV2,$thf( ^ [SV17: $i] : $false ))]]) ).
thf(107,plain,
! [SV1: $i > $o,SV4: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV4 ) )
= $true )
| ( ( SV1 @ SV4 )
= $false )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[57:[bind(SV2,$thf( ^ [SV15: $i] : ~ ( SV16 @ SV15 ) ))]]) ).
thf(109,plain,
! [SV4: $i,SV2: $i > $o] :
( ( $false = $true )
| ( ( SV2 @ SV4 )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV1,$thf( ^ [SV13: $i] : $false ))]]) ).
thf(110,plain,
! [SV2: $i > $o,SV4: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV4 ) )
= $true )
| ( ( SV2 @ SV4 )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV1,$thf( ^ [SV11: $i] : ~ ( SV12 @ SV11 ) ))]]) ).
thf(113,plain,
! [SV16: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( SV1 @ SV4 )
= $true )
| ( ( ~ ( SV16 @ SV4 ) )
= $false )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV2,$thf( ^ [SV15: $i] : ~ ( SV16 @ SV15 ) ))]]) ).
thf(126,plain,
! [SV6: $i,SV2: $i > $o] :
( ( ( SV2 @ SV6 )
= $true )
| ( $true = $false )
| ( $true = $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[65:[bind(SV1,$thf( ^ [SV14: $i] : $true ))]]) ).
thf(128,plain,
! [SV12: $i > $o,SV6: $i,SV2: $i > $o] :
( ( ( SV2 @ SV6 )
= $true )
| ( ( ~ ( SV12 @ SV6 ) )
= $false )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[65:[bind(SV1,$thf( ^ [SV11: $i] : ~ ( SV12 @ SV11 ) ))]]) ).
thf(131,plain,
! [SV1: $i > $o,SV6: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV6 ) )
= $true )
| ( ( SV1 @ SV6 )
= $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[65:[bind(SV2,$thf( ^ [SV15: $i] : ~ ( SV16 @ SV15 ) ))]]) ).
thf(134,plain,
! [SV2: $i > $o,SV6: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV6 ) )
= $true )
| ( ( SV2 @ SV6 )
= $false )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[66:[bind(SV1,$thf( ^ [SV11: $i] : ~ ( SV12 @ SV11 ) ))]]) ).
thf(135,plain,
! [SV6: $i,SV1: $i > $o] :
( ( ( SV1 @ SV6 )
= $true )
| ( $true = $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV1 ) )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[66:[bind(SV2,$thf( ^ [SV18: $i] : $true ))]]) ).
thf(137,plain,
! [SV16: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( SV1 @ SV6 )
= $true )
| ( ( ~ ( SV16 @ SV6 ) )
= $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[66:[bind(SV2,$thf( ^ [SV15: $i] : ~ ( SV16 @ SV15 ) ))]]) ).
thf(144,plain,
! [SV2: $i > $o,SV1: $i > $o,SV19: $i] :
( ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( ( SV1 @ SV19 )
= ( SV2 @ SV19 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[30]) ).
thf(145,plain,
! [SV2: $i > $o,SV1: $i > $o,SV20: $i] :
( ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( ( SV1 @ SV20 )
= ( SV2 @ SV20 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[34]) ).
thf(146,plain,
! [SV2: $i > $o,SV1: $i > $o,SV19: $i] :
( ( ( SV1 @ SV19 )
= $true )
| ( ( SV2 @ SV19 )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[144]) ).
thf(147,plain,
! [SV2: $i > $o,SV1: $i > $o,SV19: $i] :
( ( ( SV1 @ SV19 )
= $false )
| ( ( SV2 @ SV19 )
= $true )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[144]) ).
thf(148,plain,
! [SV2: $i > $o,SV1: $i > $o,SV20: $i] :
( ( ( SV1 @ SV20 )
= $true )
| ( ( SV2 @ SV20 )
= $false )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[145]) ).
thf(149,plain,
! [SV2: $i > $o,SV1: $i > $o,SV20: $i] :
( ( ( SV1 @ SV20 )
= $false )
| ( ( SV2 @ SV20 )
= $true )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[145]) ).
thf(150,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ SV4 )
= $true )
| ( ( SV2 @ SV4 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[36]) ).
thf(151,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ SV4 )
= $false )
| ( ( SV2 @ SV4 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[36]) ).
thf(152,plain,
! [SV2: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( SV2 @ SV6 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[40]) ).
thf(153,plain,
! [SV2: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( SV2 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK4_X @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ SV6 )
= $false )
| ( ( SV2 @ SV6 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[40]) ).
thf(155,plain,
! [SV2: $i > $o,SV22: $i] :
( ( $false = $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( $false
= ( SV2 @ SV22 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[73]) ).
thf(156,plain,
! [SV2: $i > $o,SV12: $i > $o,SV23: $i] :
( ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( ( ~ ( SV12 @ SV23 ) )
= ( SV2 @ SV23 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[74]) ).
thf(158,plain,
! [SV1: $i > $o,SV25: $i] :
( ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV1 ) )
= $true )
| ( $false = $true )
| ( ( ( SV1 @ SV25 )
= $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[76]) ).
thf(159,plain,
! [SV16: $i > $o,SV1: $i > $o,SV26: $i] :
( ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ( SV1 @ SV26 )
= ( ~ ( SV16 @ SV26 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[77]) ).
thf(160,plain,
! [SV2: $i > $o,SV27: $i] :
( ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] : $true ) )
= $false )
| ( $true = $false )
| ( ( $true
= ( SV2 @ SV27 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[78]) ).
thf(162,plain,
! [SV2: $i > $o,SV12: $i > $o,SV29: $i] :
( ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $false )
| ( ( ( ~ ( SV12 @ SV29 ) )
= ( SV2 @ SV29 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[80]) ).
thf(163,plain,
! [SV1: $i > $o,SV30: $i] :
( ( $true = $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV1 ) )
= $false )
| ( ( ( SV1 @ SV30 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[81]) ).
thf(165,plain,
! [SV16: $i > $o,SV1: $i > $o,SV32: $i] :
( ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ( SV1 @ SV32 )
= ( ~ ( SV16 @ SV32 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[83]) ).
thf(168,plain,
! [SV2: $i > $o,SV22: $i] :
( ( $false = $true )
| ( ( SV2 @ SV22 )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[155]) ).
thf(170,plain,
! [SV2: $i > $o,SV12: $i > $o,SV23: $i] :
( ( ( ~ ( SV12 @ SV23 ) )
= $true )
| ( ( SV2 @ SV23 )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[156]) ).
thf(171,plain,
! [SV2: $i > $o,SV12: $i > $o,SV23: $i] :
( ( ( ~ ( SV12 @ SV23 ) )
= $false )
| ( ( SV2 @ SV23 )
= $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[156]) ).
thf(175,plain,
! [SV1: $i > $o,SV25: $i] :
( ( ( SV1 @ SV25 )
= $false )
| ( $false = $true )
| ( $false = $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[158]) ).
thf(176,plain,
! [SV16: $i > $o,SV1: $i > $o,SV26: $i] :
( ( ( SV1 @ SV26 )
= $true )
| ( ( ~ ( SV16 @ SV26 ) )
= $false )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[159]) ).
thf(177,plain,
! [SV16: $i > $o,SV1: $i > $o,SV26: $i] :
( ( ( SV1 @ SV26 )
= $false )
| ( ( ~ ( SV16 @ SV26 ) )
= $true )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[159]) ).
thf(179,plain,
! [SV2: $i > $o,SV27: $i] :
( ( $true = $false )
| ( ( SV2 @ SV27 )
= $true )
| ( $true = $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[160]) ).
thf(182,plain,
! [SV2: $i > $o,SV12: $i > $o,SV29: $i] :
( ( ( ~ ( SV12 @ SV29 ) )
= $true )
| ( ( SV2 @ SV29 )
= $false )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[162]) ).
thf(183,plain,
! [SV2: $i > $o,SV12: $i > $o,SV29: $i] :
( ( ( ~ ( SV12 @ SV29 ) )
= $false )
| ( ( SV2 @ SV29 )
= $true )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[162]) ).
thf(184,plain,
! [SV1: $i > $o,SV30: $i] :
( ( ( SV1 @ SV30 )
= $true )
| ( $true = $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV1 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[163]) ).
thf(188,plain,
! [SV16: $i > $o,SV1: $i > $o,SV32: $i] :
( ( ( SV1 @ SV32 )
= $true )
| ( ( ~ ( SV16 @ SV32 ) )
= $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[165]) ).
thf(189,plain,
! [SV16: $i > $o,SV1: $i > $o,SV32: $i] :
( ( ( SV1 @ SV32 )
= $false )
| ( ( ~ ( SV16 @ SV32 ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[165]) ).
thf(192,plain,
! [SV4: $i,SV2: $i > $o] :
( ( $false = $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( SV2 @ SV4 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[85]) ).
thf(194,plain,
! [SV2: $i > $o,SV4: $i,SV12: $i > $o] :
( ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV12 @ SV4 ) )
= $true )
| ( ( SV2 @ SV4 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[86]) ).
thf(195,plain,
! [SV2: $i > $o,SV4: $i,SV12: $i > $o] :
( ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV12 @ SV4 ) )
= $false )
| ( ( SV2 @ SV4 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[86]) ).
thf(199,plain,
! [SV4: $i,SV1: $i > $o] :
( ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV1 ) )
= $true )
| ( $false = $true )
| ( ( SV1 @ SV4 )
= $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[88]) ).
thf(200,plain,
! [SV16: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV1 @ SV4 )
= $true )
| ( ( ~ ( SV16 @ SV4 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[89]) ).
thf(201,plain,
! [SV16: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV1 @ SV4 )
= $false )
| ( ( ~ ( SV16 @ SV4 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[89]) ).
thf(203,plain,
! [SV6: $i,SV2: $i > $o] :
( ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] : $true ) )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( ( SV2 @ SV6 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[90]) ).
thf(206,plain,
! [SV2: $i > $o,SV6: $i,SV12: $i > $o] :
( ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV12 @ SV6 ) )
= $true )
| ( ( SV2 @ SV6 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[92]) ).
thf(207,plain,
! [SV2: $i > $o,SV6: $i,SV12: $i > $o] :
( ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV12 @ SV6 ) )
= $false )
| ( ( SV2 @ SV6 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[92]) ).
thf(208,plain,
! [SV6: $i,SV1: $i > $o] :
( ( $true = $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV1 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[93]) ).
thf(212,plain,
! [SV16: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( ~ ( SV16 @ SV6 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[95]) ).
thf(213,plain,
! [SV16: $i > $o,SV6: $i,SV1: $i > $o] :
( ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ SV6 )
= $false )
| ( ( ~ ( SV16 @ SV6 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[95]) ).
thf(214,plain,
! [SV2: $i > $o,SV23: $i,SV12: $i > $o] :
( ( ( SV12 @ SV23 )
= $true )
| ( ( SV2 @ SV23 )
= $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(215,plain,
! [SV2: $i > $o,SV23: $i,SV12: $i > $o] :
( ( ( SV12 @ SV23 )
= $false )
| ( ( SV2 @ SV23 )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(216,plain,
! [SV1: $i > $o,SV26: $i,SV16: $i > $o] :
( ( ( SV16 @ SV26 )
= $false )
| ( ( SV1 @ SV26 )
= $false )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(217,plain,
! [SV1: $i > $o,SV26: $i,SV16: $i > $o] :
( ( ( SV16 @ SV26 )
= $true )
| ( ( SV1 @ SV26 )
= $true )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(218,plain,
! [SV2: $i > $o,SV29: $i,SV12: $i > $o] :
( ( ( SV12 @ SV29 )
= $true )
| ( ( SV2 @ SV29 )
= $true )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(219,plain,
! [SV2: $i > $o,SV29: $i,SV12: $i > $o] :
( ( ( SV12 @ SV29 )
= $false )
| ( ( SV2 @ SV29 )
= $false )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(220,plain,
! [SV1: $i > $o,SV32: $i,SV16: $i > $o] :
( ( ( SV16 @ SV32 )
= $false )
| ( ( SV1 @ SV32 )
= $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(221,plain,
! [SV1: $i > $o,SV32: $i,SV16: $i > $o] :
( ( ( SV16 @ SV32 )
= $true )
| ( ( SV1 @ SV32 )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(222,plain,
! [SV4: $i,SV2: $i > $o,SV12: $i > $o] :
( ( ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV12 @ SV4 ) )
= $false )
| ( ( SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(223,plain,
! [SV4: $i,SV2: $i > $o,SV12: $i > $o] :
( ( ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV12 @ SV4 ) )
= $true )
| ( ( SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(224,plain,
! [SV4: $i,SV1: $i > $o,SV16: $i > $o] :
( ( ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV1 @ SV4 )
= $false )
| ( ( ~ ( SV16 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(225,plain,
! [SV4: $i,SV1: $i > $o,SV16: $i > $o] :
( ( ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV1 @ SV4 )
= $true )
| ( ( ~ ( SV16 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(226,plain,
! [SV6: $i,SV2: $i > $o,SV12: $i > $o] :
( ( ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV12 @ SV6 ) )
= $false )
| ( ( SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(227,plain,
! [SV6: $i,SV2: $i > $o,SV12: $i > $o] :
( ( ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV12 @ SV6 ) )
= $true )
| ( ( SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(228,plain,
! [SV6: $i,SV1: $i > $o,SV16: $i > $o] :
( ( ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ SV6 )
= $false )
| ( ( ~ ( SV16 @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(229,plain,
! [SV6: $i,SV1: $i > $o,SV16: $i > $o] :
( ( ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( ~ ( SV16 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(232,plain,
! [SV2: $i > $o,SV4: $i,SV12: $i > $o] :
( ( ( SV12 @ SV4 )
= $true )
| ( ( SV2 @ SV4 )
= $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(233,plain,
! [SV1: $i > $o,SV4: $i,SV16: $i > $o] :
( ( ( SV16 @ SV4 )
= $false )
| ( ( SV1 @ SV4 )
= $false )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(234,plain,
! [SV2: $i > $o,SV4: $i,SV12: $i > $o] :
( ( ( SV12 @ SV4 )
= $false )
| ( ( SV2 @ SV4 )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(235,plain,
! [SV1: $i > $o,SV4: $i,SV16: $i > $o] :
( ( ( SV16 @ SV4 )
= $true )
| ( ( SV1 @ SV4 )
= $true )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(240,plain,
! [SV2: $i > $o,SV6: $i,SV12: $i > $o] :
( ( ( SV12 @ SV6 )
= $true )
| ( ( SV2 @ SV6 )
= $true )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(241,plain,
! [SV1: $i > $o,SV6: $i,SV16: $i > $o] :
( ( ( SV16 @ SV6 )
= $false )
| ( ( SV1 @ SV6 )
= $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(242,plain,
! [SV2: $i > $o,SV6: $i,SV12: $i > $o] :
( ( ( SV12 @ SV6 )
= $false )
| ( ( SV2 @ SV6 )
= $false )
| ( ( ~ ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) ) )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(243,plain,
! [SV1: $i > $o,SV6: $i,SV16: $i > $o] :
( ( ( SV16 @ SV6 )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ~ ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(246,plain,
! [SV23: $i,SV2: $i > $o,SV12: $i > $o] :
( ( ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( SV2 @ SV23 )
= $true )
| ( ( SV12 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(247,plain,
! [SV23: $i,SV2: $i > $o,SV12: $i > $o] :
( ( ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( SV2 @ SV23 )
= $false )
| ( ( SV12 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(248,plain,
! [SV26: $i,SV1: $i > $o,SV16: $i > $o] :
( ( ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ SV26 )
= $false )
| ( ( SV16 @ SV26 )
= $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(249,plain,
! [SV26: $i,SV1: $i > $o,SV16: $i > $o] :
( ( ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ SV26 )
= $true )
| ( ( SV16 @ SV26 )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(250,plain,
! [SV29: $i,SV2: $i > $o,SV12: $i > $o] :
( ( ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( SV2 @ SV29 )
= $true )
| ( ( SV12 @ SV29 )
= $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(251,plain,
! [SV29: $i,SV2: $i > $o,SV12: $i > $o] :
( ( ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( SV2 @ SV29 )
= $false )
| ( ( SV12 @ SV29 )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(252,plain,
! [SV32: $i,SV1: $i > $o,SV16: $i > $o] :
( ( ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ SV32 )
= $false )
| ( ( SV16 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(253,plain,
! [SV32: $i,SV1: $i > $o,SV16: $i > $o] :
( ( ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ SV32 )
= $true )
| ( ( SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(254,plain,
! [SV2: $i > $o,SV4: $i,SV12: $i > $o] :
( ( ( SV12 @ SV4 )
= $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(255,plain,
! [SV2: $i > $o,SV4: $i,SV12: $i > $o] :
( ( ( SV12 @ SV4 )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(256,plain,
! [SV1: $i > $o,SV4: $i,SV16: $i > $o] :
( ( ( SV16 @ SV4 )
= $false )
| ( ( SV1 @ SV4 )
= $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(257,plain,
! [SV1: $i > $o,SV4: $i,SV16: $i > $o] :
( ( ( SV16 @ SV4 )
= $true )
| ( ( SV1 @ SV4 )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(258,plain,
! [SV2: $i > $o,SV6: $i,SV12: $i > $o] :
( ( ( SV12 @ SV6 )
= $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(259,plain,
! [SV2: $i > $o,SV6: $i,SV12: $i > $o] :
( ( ( SV12 @ SV6 )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(260,plain,
! [SV1: $i > $o,SV6: $i,SV16: $i > $o] :
( ( ( SV16 @ SV6 )
= $false )
| ( ( SV1 @ SV6 )
= $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(261,plain,
! [SV1: $i > $o,SV6: $i,SV16: $i > $o] :
( ( ( SV16 @ SV6 )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(263,plain,
! [SV4: $i,SV2: $i > $o,SV12: $i > $o] :
( ( ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( SV2 @ SV4 )
= $true )
| ( ( SV12 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(264,plain,
! [SV4: $i,SV1: $i > $o,SV16: $i > $o] :
( ( ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ SV4 )
= $false )
| ( ( SV16 @ SV4 )
= $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(265,plain,
! [SV4: $i,SV2: $i > $o,SV12: $i > $o] :
( ( ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( SV2 @ SV4 )
= $false )
| ( ( SV12 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(266,plain,
! [SV4: $i,SV1: $i > $o,SV16: $i > $o] :
( ( ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ SV4 )
= $true )
| ( ( SV16 @ SV4 )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(269,plain,
! [SV6: $i,SV2: $i > $o,SV12: $i > $o] :
( ( ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( SV2 @ SV6 )
= $true )
| ( ( SV12 @ SV6 )
= $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(270,plain,
! [SV6: $i,SV1: $i > $o,SV16: $i > $o] :
( ( ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ SV6 )
= $false )
| ( ( SV16 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(271,plain,
! [SV6: $i,SV2: $i > $o,SV12: $i > $o] :
( ( ( SV12
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $true )
| ( ( SV2 @ SV6 )
= $false )
| ( ( SV12 @ SV6 )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(272,plain,
! [SV6: $i,SV1: $i > $o,SV16: $i > $o] :
( ( ( SV16
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV16 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( SV16 @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(278,plain,
! [SV2: $i > $o,SV22: $i] :
( ( ( SV2 @ SV22 )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[168]) ).
thf(279,plain,
! [SV1: $i > $o,SV25: $i] :
( ( ( SV1 @ SV25 )
= $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV1 ) )
= $true ) ),
inference(sim,[status(thm)],[175]) ).
thf(280,plain,
! [SV2: $i > $o,SV27: $i] :
( ( ( SV2 @ SV27 )
= $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(sim,[status(thm)],[179]) ).
thf(281,plain,
! [SV1: $i > $o,SV30: $i] :
( ( ( SV1 @ SV30 )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV1 ) )
= $false ) ),
inference(sim,[status(thm)],[184]) ).
thf(282,plain,
! [SV4: $i,SV2: $i > $o] :
( ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( SV2 @ SV4 )
= $false ) ),
inference(sim,[status(thm)],[192]) ).
thf(283,plain,
! [SV4: $i,SV1: $i > $o] :
( ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV1 ) )
= $true )
| ( ( SV1 @ SV4 )
= $false ) ),
inference(sim,[status(thm)],[199]) ).
thf(284,plain,
! [SV6: $i,SV2: $i > $o] :
( ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] : $true ) )
= $false )
| ( ( SV2 @ SV6 )
= $true ) ),
inference(sim,[status(thm)],[203]) ).
thf(285,plain,
! [SV6: $i,SV1: $i > $o] :
( ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV1 ) )
= $false )
| ( ( SV1 @ SV6 )
= $true ) ),
inference(sim,[status(thm)],[208]) ).
thf(286,plain,
! [SV4: $i,SV1: $i > $o] :
( ( ( SV1 @ SV4 )
= $false )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV1 ) )
= $true ) ),
inference(sim,[status(thm)],[106]) ).
thf(287,plain,
! [SV4: $i,SV2: $i > $o] :
( ( ( SV2 @ SV4 )
= $false )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[109]) ).
thf(288,plain,
! [SV6: $i,SV2: $i > $o] :
( ( ( SV2 @ SV6 )
= $true )
| ( ( SV2
@ ( sK4_X @ SV2
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(sim,[status(thm)],[126]) ).
thf(289,plain,
! [SV6: $i,SV1: $i > $o] :
( ( ( SV1 @ SV6 )
= $true )
| ( ( SV1
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV1 ) )
= $false ) ),
inference(sim,[status(thm)],[135]) ).
thf(290,plain,
( ( ( sK1_T
@ ^ [SX0: $i] :
( ( sK2_SY299 @ SX0 )
| ( sK3_SY304 @ SX0 ) ) )
= ( sK1_T
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( ( SX1 = sK2_SY299 )
| ( SX1 = sK3_SY304 ) )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ),
inference(res,[status(thm)],[21,18]) ).
thf(291,plain,
( ( ( ( sK2_SY299 @ sK5_E )
| ( sK3_SY304 @ sK5_E ) )
= $true )
| ( ( ~ ! [SY318: $i > $o] :
~ ~ ( ~ ( ( SY318 = sK2_SY299 )
| ( SY318 = sK3_SY304 ) )
| ~ ( SY318 @ sK5_E ) ) )
= $true ) ),
inference(extuni,[status(esa)],[290]) ).
thf(292,plain,
( ( ( ( sK2_SY299 @ sK5_E )
| ( sK3_SY304 @ sK5_E ) )
= $false )
| ( ( ~ ! [SY318: $i > $o] :
~ ~ ( ~ ( ( SY318 = sK2_SY299 )
| ( SY318 = sK3_SY304 ) )
| ~ ( SY318 @ sK5_E ) ) )
= $false ) ),
inference(extuni,[status(esa)],[290]) ).
thf(293,plain,
( ( ( sK2_SY299 @ sK5_E )
= $false )
| ( ( ~ ! [SY318: $i > $o] :
~ ~ ( ~ ( ( SY318 = sK2_SY299 )
| ( SY318 = sK3_SY304 ) )
| ~ ( SY318 @ sK5_E ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(294,plain,
( ( ( sK3_SY304 @ sK5_E )
= $false )
| ( ( ~ ! [SY318: $i > $o] :
~ ~ ( ~ ( ( SY318 = sK2_SY299 )
| ( SY318 = sK3_SY304 ) )
| ~ ( SY318 @ sK5_E ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(295,plain,
( ( ( sK2_SY299 @ sK5_E )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( ~ ! [SY318: $i > $o] :
~ ~ ( ~ ( ( SY318 = sK2_SY299 )
| ( SY318 = sK3_SY304 ) )
| ~ ( SY318 @ sK5_E ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(296,plain,
( ( ( ! [SY318: $i > $o] :
~ ~ ( ~ ( ( SY318 = sK2_SY299 )
| ( SY318 = sK3_SY304 ) )
| ~ ( SY318 @ sK5_E ) ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(297,plain,
( ( ( ! [SY318: $i > $o] :
~ ~ ( ~ ( ( SY318 = sK2_SY299 )
| ( SY318 = sK3_SY304 ) )
| ~ ( SY318 @ sK5_E ) ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(298,plain,
( ( ( ! [SY318: $i > $o] :
~ ~ ( ~ ( ( SY318 = sK2_SY299 )
| ( SY318 = sK3_SY304 ) )
| ~ ( SY318 @ sK5_E ) ) )
= $false )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(299,plain,
! [SV33: $i > $o] :
( ( ( ~ ~ ( ~ ( ( SV33 = sK2_SY299 )
| ( SV33 = sK3_SY304 ) )
| ~ ( SV33 @ sK5_E ) ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(300,plain,
! [SV34: $i > $o] :
( ( ( ~ ~ ( ~ ( ( SV34 = sK2_SY299 )
| ( SV34 = sK3_SY304 ) )
| ~ ( SV34 @ sK5_E ) ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(301,plain,
( ( ( ~ ~ ( ~ ( ( sK6_SY318 = sK2_SY299 )
| ( sK6_SY318 = sK3_SY304 ) )
| ~ ( sK6_SY318 @ sK5_E ) ) )
= $false )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[298]) ).
thf(302,plain,
! [SV33: $i > $o] :
( ( ( ~ ( ~ ( ( SV33 = sK2_SY299 )
| ( SV33 = sK3_SY304 ) )
| ~ ( SV33 @ sK5_E ) ) )
= $false )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(303,plain,
! [SV34: $i > $o] :
( ( ( ~ ( ~ ( ( SV34 = sK2_SY299 )
| ( SV34 = sK3_SY304 ) )
| ~ ( SV34 @ sK5_E ) ) )
= $false )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(304,plain,
( ( ( ~ ( ~ ( ( sK6_SY318 = sK2_SY299 )
| ( sK6_SY318 = sK3_SY304 ) )
| ~ ( sK6_SY318 @ sK5_E ) ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(305,plain,
! [SV33: $i > $o] :
( ( ( ~ ( ( SV33 = sK2_SY299 )
| ( SV33 = sK3_SY304 ) )
| ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(306,plain,
! [SV34: $i > $o] :
( ( ( ~ ( ( SV34 = sK2_SY299 )
| ( SV34 = sK3_SY304 ) )
| ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(307,plain,
( ( ( ~ ( ( sK6_SY318 = sK2_SY299 )
| ( sK6_SY318 = sK3_SY304 ) )
| ~ ( sK6_SY318 @ sK5_E ) )
= $false )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(308,plain,
! [SV33: $i > $o] :
( ( ( ~ ( ( SV33 = sK2_SY299 )
| ( SV33 = sK3_SY304 ) ) )
= $true )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(309,plain,
! [SV34: $i > $o] :
( ( ( ~ ( ( SV34 = sK2_SY299 )
| ( SV34 = sK3_SY304 ) ) )
= $true )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(310,plain,
( ( ( ~ ( ( sK6_SY318 = sK2_SY299 )
| ( sK6_SY318 = sK3_SY304 ) ) )
= $false )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(311,plain,
( ( ( ~ ( sK6_SY318 @ sK5_E ) )
= $false )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(312,plain,
! [SV33: $i > $o] :
( ( ( ( SV33 = sK2_SY299 )
| ( SV33 = sK3_SY304 ) )
= $false )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(313,plain,
! [SV34: $i > $o] :
( ( ( ( SV34 = sK2_SY299 )
| ( SV34 = sK3_SY304 ) )
= $false )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(314,plain,
( ( ( ( sK6_SY318 = sK2_SY299 )
| ( sK6_SY318 = sK3_SY304 ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(315,plain,
( ( ( sK6_SY318 @ sK5_E )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(316,plain,
! [SV33: $i > $o] :
( ( ( SV33 = sK2_SY299 )
= $false )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(317,plain,
! [SV33: $i > $o] :
( ( ( SV33 = sK3_SY304 )
= $false )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(318,plain,
! [SV34: $i > $o] :
( ( ( SV34 = sK2_SY299 )
= $false )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(319,plain,
! [SV34: $i > $o] :
( ( ( SV34 = sK3_SY304 )
= $false )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(320,plain,
( ( ( sK6_SY318 = sK2_SY299 )
= $true )
| ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(321,plain,
! [SV33: $i > $o] :
( ( ( ! [SV35: $i] :
( ( SV33 @ SV35 )
= ( sK2_SY299 @ SV35 ) ) )
= $false )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[316]) ).
thf(322,plain,
! [SV33: $i > $o] :
( ( ( SV33 = sK2_SY299 )
= $false )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[316]) ).
thf(323,plain,
! [SV33: $i > $o] :
( ( ( ! [SV36: $i] :
( ( SV33 @ SV36 )
= ( sK3_SY304 @ SV36 ) ) )
= $false )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[317]) ).
thf(324,plain,
! [SV33: $i > $o] :
( ( ( SV33 = sK3_SY304 )
= $false )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[317]) ).
thf(325,plain,
! [SV34: $i > $o] :
( ( ( ! [SV37: $i] :
( ( SV34 @ SV37 )
= ( sK2_SY299 @ SV37 ) ) )
= $false )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[318]) ).
thf(326,plain,
! [SV34: $i > $o] :
( ( ( SV34 = sK2_SY299 )
= $false )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[318]) ).
thf(327,plain,
! [SV34: $i > $o] :
( ( ( ! [SV38: $i] :
( ( SV34 @ SV38 )
= ( sK3_SY304 @ SV38 ) ) )
= $false )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[319]) ).
thf(328,plain,
! [SV34: $i > $o] :
( ( ( SV34 = sK3_SY304 )
= $false )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[319]) ).
thf(329,plain,
( ( ( ! [SV39: $i] :
( ( sK6_SY318 @ SV39 )
= ( sK2_SY299 @ SV39 ) ) )
= $true )
| ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[320]) ).
thf(330,plain,
( ( ( sK6_SY318 = sK2_SY299 )
= $true )
| ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[320]) ).
thf(331,plain,
! [SV33: $i > $o] :
( ( ( ( SV33 @ ( sK7_SV35 @ SV33 ) )
= ( sK2_SY299 @ ( sK7_SV35 @ SV33 ) ) )
= $false )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[321]) ).
thf(332,plain,
! [SV33: $i > $o] :
( ( ( SV33 @ sK5_E )
= $false )
| ( ( SV33 = sK2_SY299 )
= $false )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(333,plain,
! [SV33: $i > $o] :
( ( ( ( SV33 @ ( sK8_SV36 @ SV33 ) )
= ( sK3_SY304 @ ( sK8_SV36 @ SV33 ) ) )
= $false )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[323]) ).
thf(334,plain,
! [SV33: $i > $o] :
( ( ( SV33 @ sK5_E )
= $false )
| ( ( SV33 = sK3_SY304 )
= $false )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(335,plain,
! [SV34: $i > $o] :
( ( ( ( SV34 @ ( sK9_SV37 @ SV34 ) )
= ( sK2_SY299 @ ( sK9_SV37 @ SV34 ) ) )
= $false )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[325]) ).
thf(336,plain,
! [SV34: $i > $o] :
( ( ( SV34 @ sK5_E )
= $false )
| ( ( SV34 = sK2_SY299 )
= $false )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(337,plain,
! [SV34: $i > $o] :
( ( ( ( SV34 @ ( sK10_SV38 @ SV34 ) )
= ( sK3_SY304 @ ( sK10_SV38 @ SV34 ) ) )
= $false )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[327]) ).
thf(338,plain,
! [SV34: $i > $o] :
( ( ( SV34 @ sK5_E )
= $false )
| ( ( SV34 = sK3_SY304 )
= $false )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(339,plain,
! [SV40: $i] :
( ( ( ( sK6_SY318 @ SV40 )
= ( sK2_SY299 @ SV40 ) )
= $true )
| ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(340,plain,
( ( ( ! [SV41: $i] :
( ( sK6_SY318 @ SV41 )
= ( sK3_SY304 @ SV41 ) ) )
= $true )
| ( ( sK6_SY318 = sK2_SY299 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[330]) ).
thf(341,plain,
( ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( sK6_SY318 = sK2_SY299 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[330]) ).
thf(342,plain,
! [SV33: $i > $o] :
( ( ( ~ ( ( SV33 @ ( sK7_SV35 @ SV33 ) )
| ( sK2_SY299 @ ( sK7_SV35 @ SV33 ) ) )
| ~ ( ~ ( SV33 @ ( sK7_SV35 @ SV33 ) )
| ~ ( sK2_SY299 @ ( sK7_SV35 @ SV33 ) ) ) )
= $false )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[331]) ).
thf(343,plain,
! [SV33: $i > $o] :
( ( ( ( SV33 @ ( sK7_SV35 @ SV33 ) )
= ( sK2_SY299 @ ( sK7_SV35 @ SV33 ) ) )
= $false )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[331]) ).
thf(344,plain,
! [SV33: $i > $o] :
( ( ( ~ ( ( SV33 @ ( sK8_SV36 @ SV33 ) )
| ( sK3_SY304 @ ( sK8_SV36 @ SV33 ) ) )
| ~ ( ~ ( SV33 @ ( sK8_SV36 @ SV33 ) )
| ~ ( sK3_SY304 @ ( sK8_SV36 @ SV33 ) ) ) )
= $false )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[333]) ).
thf(345,plain,
! [SV33: $i > $o] :
( ( ( ( SV33 @ ( sK8_SV36 @ SV33 ) )
= ( sK3_SY304 @ ( sK8_SV36 @ SV33 ) ) )
= $false )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[333]) ).
thf(346,plain,
! [SV34: $i > $o] :
( ( ( ~ ( ( SV34 @ ( sK9_SV37 @ SV34 ) )
| ( sK2_SY299 @ ( sK9_SV37 @ SV34 ) ) )
| ~ ( ~ ( SV34 @ ( sK9_SV37 @ SV34 ) )
| ~ ( sK2_SY299 @ ( sK9_SV37 @ SV34 ) ) ) )
= $false )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[335]) ).
thf(347,plain,
! [SV34: $i > $o] :
( ( ( ( SV34 @ ( sK9_SV37 @ SV34 ) )
= ( sK2_SY299 @ ( sK9_SV37 @ SV34 ) ) )
= $false )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[335]) ).
thf(348,plain,
! [SV34: $i > $o] :
( ( ( ~ ( ( SV34 @ ( sK10_SV38 @ SV34 ) )
| ( sK3_SY304 @ ( sK10_SV38 @ SV34 ) ) )
| ~ ( ~ ( SV34 @ ( sK10_SV38 @ SV34 ) )
| ~ ( sK3_SY304 @ ( sK10_SV38 @ SV34 ) ) ) )
= $false )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[337]) ).
thf(349,plain,
! [SV34: $i > $o] :
( ( ( ( SV34 @ ( sK10_SV38 @ SV34 ) )
= ( sK3_SY304 @ ( sK10_SV38 @ SV34 ) ) )
= $false )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[337]) ).
thf(350,plain,
! [SV40: $i] :
( ( ( ~ ( ( sK6_SY318 @ SV40 )
| ( sK2_SY299 @ SV40 ) )
| ~ ( ~ ( sK6_SY318 @ SV40 )
| ~ ( sK2_SY299 @ SV40 ) ) )
= $true )
| ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[339]) ).
thf(351,plain,
! [SV40: $i] :
( ( ( ( sK6_SY318 @ SV40 )
= ( sK2_SY299 @ SV40 ) )
= $true )
| ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[339]) ).
thf(352,plain,
! [SV42: $i] :
( ( ( ( sK6_SY318 @ SV42 )
= ( sK3_SY304 @ SV42 ) )
= $true )
| ( ( sK6_SY318 = sK2_SY299 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(353,plain,
! [SV33: $i > $o] :
( ( ( ~ ( ( SV33 @ ( sK7_SV35 @ SV33 ) )
| ( sK2_SY299 @ ( sK7_SV35 @ SV33 ) ) ) )
= $false )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(354,plain,
! [SV33: $i > $o] :
( ( ( ~ ( ~ ( SV33 @ ( sK7_SV35 @ SV33 ) )
| ~ ( sK2_SY299 @ ( sK7_SV35 @ SV33 ) ) ) )
= $false )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(355,plain,
! [SV33: $i > $o] :
( ( ( SV33 @ sK5_E )
= $false )
| ( ( ( SV33 @ ( sK7_SV35 @ SV33 ) )
= ( sK2_SY299 @ ( sK7_SV35 @ SV33 ) ) )
= $false )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(356,plain,
! [SV33: $i > $o] :
( ( ( ~ ( ( SV33 @ ( sK8_SV36 @ SV33 ) )
| ( sK3_SY304 @ ( sK8_SV36 @ SV33 ) ) ) )
= $false )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[344]) ).
thf(357,plain,
! [SV33: $i > $o] :
( ( ( ~ ( ~ ( SV33 @ ( sK8_SV36 @ SV33 ) )
| ~ ( sK3_SY304 @ ( sK8_SV36 @ SV33 ) ) ) )
= $false )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[344]) ).
thf(358,plain,
! [SV33: $i > $o] :
( ( ( SV33 @ sK5_E )
= $false )
| ( ( ( SV33 @ ( sK8_SV36 @ SV33 ) )
= ( sK3_SY304 @ ( sK8_SV36 @ SV33 ) ) )
= $false )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(359,plain,
! [SV34: $i > $o] :
( ( ( ~ ( ( SV34 @ ( sK9_SV37 @ SV34 ) )
| ( sK2_SY299 @ ( sK9_SV37 @ SV34 ) ) ) )
= $false )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(360,plain,
! [SV34: $i > $o] :
( ( ( ~ ( ~ ( SV34 @ ( sK9_SV37 @ SV34 ) )
| ~ ( sK2_SY299 @ ( sK9_SV37 @ SV34 ) ) ) )
= $false )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(361,plain,
! [SV34: $i > $o] :
( ( ( SV34 @ sK5_E )
= $false )
| ( ( ( SV34 @ ( sK9_SV37 @ SV34 ) )
= ( sK2_SY299 @ ( sK9_SV37 @ SV34 ) ) )
= $false )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(362,plain,
! [SV34: $i > $o] :
( ( ( ~ ( ( SV34 @ ( sK10_SV38 @ SV34 ) )
| ( sK3_SY304 @ ( sK10_SV38 @ SV34 ) ) ) )
= $false )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(363,plain,
! [SV34: $i > $o] :
( ( ( ~ ( ~ ( SV34 @ ( sK10_SV38 @ SV34 ) )
| ~ ( sK3_SY304 @ ( sK10_SV38 @ SV34 ) ) ) )
= $false )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(364,plain,
! [SV34: $i > $o] :
( ( ( SV34 @ sK5_E )
= $false )
| ( ( ( SV34 @ ( sK10_SV38 @ SV34 ) )
= ( sK3_SY304 @ ( sK10_SV38 @ SV34 ) ) )
= $false )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(365,plain,
! [SV40: $i] :
( ( ( ~ ( ( sK6_SY318 @ SV40 )
| ( sK2_SY299 @ SV40 ) ) )
= $true )
| ( ( ~ ( ~ ( sK6_SY318 @ SV40 )
| ~ ( sK2_SY299 @ SV40 ) ) )
= $true )
| ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(366,plain,
! [SV40: $i] :
( ( ( ! [SV43: $i] :
( ( sK6_SY318 @ SV43 )
= ( sK3_SY304 @ SV43 ) ) )
= $true )
| ( ( ( sK6_SY318 @ SV40 )
= ( sK2_SY299 @ SV40 ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[351]) ).
thf(367,plain,
! [SV40: $i] :
( ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( ( sK6_SY318 @ SV40 )
= ( sK2_SY299 @ SV40 ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[351]) ).
thf(368,plain,
! [SV42: $i] :
( ( ( ~ ( ( sK6_SY318 @ SV42 )
| ( sK3_SY304 @ SV42 ) )
| ~ ( ~ ( sK6_SY318 @ SV42 )
| ~ ( sK3_SY304 @ SV42 ) ) )
= $true )
| ( ( sK6_SY318 = sK2_SY299 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[352]) ).
thf(369,plain,
! [SV42: $i] :
( ( ( ( sK6_SY318 @ SV42 )
= ( sK3_SY304 @ SV42 ) )
= $true )
| ( ( sK6_SY318 = sK2_SY299 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[352]) ).
thf(370,plain,
! [SV33: $i > $o] :
( ( ( ( SV33 @ ( sK7_SV35 @ SV33 ) )
| ( sK2_SY299 @ ( sK7_SV35 @ SV33 ) ) )
= $true )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(371,plain,
! [SV33: $i > $o] :
( ( ( ~ ( SV33 @ ( sK7_SV35 @ SV33 ) )
| ~ ( sK2_SY299 @ ( sK7_SV35 @ SV33 ) ) )
= $true )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(372,plain,
! [SV33: $i > $o] :
( ( ( ( SV33 @ ( sK8_SV36 @ SV33 ) )
| ( sK3_SY304 @ ( sK8_SV36 @ SV33 ) ) )
= $true )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(373,plain,
! [SV33: $i > $o] :
( ( ( ~ ( SV33 @ ( sK8_SV36 @ SV33 ) )
| ~ ( sK3_SY304 @ ( sK8_SV36 @ SV33 ) ) )
= $true )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(374,plain,
! [SV34: $i > $o] :
( ( ( ( SV34 @ ( sK9_SV37 @ SV34 ) )
| ( sK2_SY299 @ ( sK9_SV37 @ SV34 ) ) )
= $true )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(375,plain,
! [SV34: $i > $o] :
( ( ( ~ ( SV34 @ ( sK9_SV37 @ SV34 ) )
| ~ ( sK2_SY299 @ ( sK9_SV37 @ SV34 ) ) )
= $true )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(376,plain,
! [SV34: $i > $o] :
( ( ( ( SV34 @ ( sK10_SV38 @ SV34 ) )
| ( sK3_SY304 @ ( sK10_SV38 @ SV34 ) ) )
= $true )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(377,plain,
! [SV34: $i > $o] :
( ( ( ~ ( SV34 @ ( sK10_SV38 @ SV34 ) )
| ~ ( sK3_SY304 @ ( sK10_SV38 @ SV34 ) ) )
= $true )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(378,plain,
! [SV40: $i] :
( ( ( ( sK6_SY318 @ SV40 )
| ( sK2_SY299 @ SV40 ) )
= $false )
| ( ( ~ ( ~ ( sK6_SY318 @ SV40 )
| ~ ( sK2_SY299 @ SV40 ) ) )
= $true )
| ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(379,plain,
! [SV40: $i,SV44: $i] :
( ( ( ( sK6_SY318 @ SV44 )
= ( sK3_SY304 @ SV44 ) )
= $true )
| ( ( ( sK6_SY318 @ SV40 )
= ( sK2_SY299 @ SV40 ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(380,plain,
! [SV42: $i] :
( ( ( ~ ( ( sK6_SY318 @ SV42 )
| ( sK3_SY304 @ SV42 ) ) )
= $true )
| ( ( ~ ( ~ ( sK6_SY318 @ SV42 )
| ~ ( sK3_SY304 @ SV42 ) ) )
= $true )
| ( ( sK6_SY318 = sK2_SY299 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(381,plain,
! [SV33: $i > $o] :
( ( ( SV33 @ ( sK7_SV35 @ SV33 ) )
= $true )
| ( ( sK2_SY299 @ ( sK7_SV35 @ SV33 ) )
= $true )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(382,plain,
! [SV33: $i > $o] :
( ( ( ~ ( SV33 @ ( sK7_SV35 @ SV33 ) ) )
= $true )
| ( ( ~ ( sK2_SY299 @ ( sK7_SV35 @ SV33 ) ) )
= $true )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(383,plain,
! [SV33: $i > $o] :
( ( ( SV33 @ ( sK8_SV36 @ SV33 ) )
= $true )
| ( ( sK3_SY304 @ ( sK8_SV36 @ SV33 ) )
= $true )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(384,plain,
! [SV33: $i > $o] :
( ( ( ~ ( SV33 @ ( sK8_SV36 @ SV33 ) ) )
= $true )
| ( ( ~ ( sK3_SY304 @ ( sK8_SV36 @ SV33 ) ) )
= $true )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(385,plain,
! [SV34: $i > $o] :
( ( ( SV34 @ ( sK9_SV37 @ SV34 ) )
= $true )
| ( ( sK2_SY299 @ ( sK9_SV37 @ SV34 ) )
= $true )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(386,plain,
! [SV34: $i > $o] :
( ( ( ~ ( SV34 @ ( sK9_SV37 @ SV34 ) ) )
= $true )
| ( ( ~ ( sK2_SY299 @ ( sK9_SV37 @ SV34 ) ) )
= $true )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(387,plain,
! [SV34: $i > $o] :
( ( ( SV34 @ ( sK10_SV38 @ SV34 ) )
= $true )
| ( ( sK3_SY304 @ ( sK10_SV38 @ SV34 ) )
= $true )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(388,plain,
! [SV34: $i > $o] :
( ( ( ~ ( SV34 @ ( sK10_SV38 @ SV34 ) ) )
= $true )
| ( ( ~ ( sK3_SY304 @ ( sK10_SV38 @ SV34 ) ) )
= $true )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(389,plain,
! [SV40: $i] :
( ( ( sK6_SY318 @ SV40 )
= $false )
| ( ( ~ ( ~ ( sK6_SY318 @ SV40 )
| ~ ( sK2_SY299 @ SV40 ) ) )
= $true )
| ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[378]) ).
thf(390,plain,
! [SV40: $i] :
( ( ( sK2_SY299 @ SV40 )
= $false )
| ( ( ~ ( ~ ( sK6_SY318 @ SV40 )
| ~ ( sK2_SY299 @ SV40 ) ) )
= $true )
| ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[378]) ).
thf(391,plain,
! [SV40: $i,SV44: $i] :
( ( ( ~ ( ( sK6_SY318 @ SV44 )
| ( sK3_SY304 @ SV44 ) )
| ~ ( ~ ( sK6_SY318 @ SV44 )
| ~ ( sK3_SY304 @ SV44 ) ) )
= $true )
| ( ( ( sK6_SY318 @ SV40 )
= ( sK2_SY299 @ SV40 ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[379]) ).
thf(392,plain,
! [SV40: $i,SV44: $i] :
( ( ( ( sK6_SY318 @ SV44 )
= ( sK3_SY304 @ SV44 ) )
= $true )
| ( ( ( sK6_SY318 @ SV40 )
= ( sK2_SY299 @ SV40 ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[379]) ).
thf(393,plain,
! [SV42: $i] :
( ( ( ( sK6_SY318 @ SV42 )
| ( sK3_SY304 @ SV42 ) )
= $false )
| ( ( ~ ( ~ ( sK6_SY318 @ SV42 )
| ~ ( sK3_SY304 @ SV42 ) ) )
= $true )
| ( ( sK6_SY318 = sK2_SY299 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(394,plain,
! [SV33: $i > $o] :
( ( ( SV33 @ sK5_E )
= $false )
| ( ( sK2_SY299 @ ( sK7_SV35 @ SV33 ) )
= $true )
| ( ( SV33 @ ( sK7_SV35 @ SV33 ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(395,plain,
! [SV33: $i > $o] :
( ( ( SV33 @ ( sK7_SV35 @ SV33 ) )
= $false )
| ( ( ~ ( sK2_SY299 @ ( sK7_SV35 @ SV33 ) ) )
= $true )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(396,plain,
! [SV33: $i > $o] :
( ( ( SV33 @ sK5_E )
= $false )
| ( ( sK3_SY304 @ ( sK8_SV36 @ SV33 ) )
= $true )
| ( ( SV33 @ ( sK8_SV36 @ SV33 ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(397,plain,
! [SV33: $i > $o] :
( ( ( SV33 @ ( sK8_SV36 @ SV33 ) )
= $false )
| ( ( ~ ( sK3_SY304 @ ( sK8_SV36 @ SV33 ) ) )
= $true )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(398,plain,
! [SV34: $i > $o] :
( ( ( SV34 @ sK5_E )
= $false )
| ( ( sK2_SY299 @ ( sK9_SV37 @ SV34 ) )
= $true )
| ( ( SV34 @ ( sK9_SV37 @ SV34 ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(399,plain,
! [SV34: $i > $o] :
( ( ( SV34 @ ( sK9_SV37 @ SV34 ) )
= $false )
| ( ( ~ ( sK2_SY299 @ ( sK9_SV37 @ SV34 ) ) )
= $true )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(400,plain,
! [SV34: $i > $o] :
( ( ( SV34 @ sK5_E )
= $false )
| ( ( sK3_SY304 @ ( sK10_SV38 @ SV34 ) )
= $true )
| ( ( SV34 @ ( sK10_SV38 @ SV34 ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(401,plain,
! [SV34: $i > $o] :
( ( ( SV34 @ ( sK10_SV38 @ SV34 ) )
= $false )
| ( ( ~ ( sK3_SY304 @ ( sK10_SV38 @ SV34 ) ) )
= $true )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(402,plain,
! [SV40: $i] :
( ( ( ~ ( sK6_SY318 @ SV40 )
| ~ ( sK2_SY299 @ SV40 ) )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $false )
| ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(403,plain,
! [SV40: $i] :
( ( ( ~ ( sK6_SY318 @ SV40 )
| ~ ( sK2_SY299 @ SV40 ) )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $false )
| ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(404,plain,
! [SV40: $i,SV44: $i] :
( ( ( ~ ( ( sK6_SY318 @ SV44 )
| ( sK3_SY304 @ SV44 ) ) )
= $true )
| ( ( ~ ( ~ ( sK6_SY318 @ SV44 )
| ~ ( sK3_SY304 @ SV44 ) ) )
= $true )
| ( ( ( sK6_SY318 @ SV40 )
= ( sK2_SY299 @ SV40 ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(405,plain,
! [SV42: $i] :
( ( ( sK6_SY318 @ SV42 )
= $false )
| ( ( ~ ( ~ ( sK6_SY318 @ SV42 )
| ~ ( sK3_SY304 @ SV42 ) ) )
= $true )
| ( ( sK6_SY318 = sK2_SY299 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[393]) ).
thf(406,plain,
! [SV42: $i] :
( ( ( sK3_SY304 @ SV42 )
= $false )
| ( ( ~ ( ~ ( sK6_SY318 @ SV42 )
| ~ ( sK3_SY304 @ SV42 ) ) )
= $true )
| ( ( sK6_SY318 = sK2_SY299 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[393]) ).
thf(407,plain,
! [SV33: $i > $o] :
( ( ( sK2_SY299 @ ( sK7_SV35 @ SV33 ) )
= $false )
| ( ( SV33 @ ( sK7_SV35 @ SV33 ) )
= $false )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(408,plain,
! [SV33: $i > $o] :
( ( ( sK3_SY304 @ ( sK8_SV36 @ SV33 ) )
= $false )
| ( ( SV33 @ ( sK8_SV36 @ SV33 ) )
= $false )
| ( ( ~ ( SV33 @ sK5_E ) )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(409,plain,
! [SV34: $i > $o] :
( ( ( sK2_SY299 @ ( sK9_SV37 @ SV34 ) )
= $false )
| ( ( SV34 @ ( sK9_SV37 @ SV34 ) )
= $false )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(410,plain,
! [SV34: $i > $o] :
( ( ( sK3_SY304 @ ( sK10_SV38 @ SV34 ) )
= $false )
| ( ( SV34 @ ( sK10_SV38 @ SV34 ) )
= $false )
| ( ( ~ ( SV34 @ sK5_E ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(412,plain,
! [SV40: $i] :
( ( ( ~ ( sK2_SY299 @ SV40 ) )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $false )
| ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(413,plain,
! [SV40: $i] :
( ( ( ~ ( sK6_SY318 @ SV40 ) )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $false )
| ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(415,plain,
! [SV40: $i,SV44: $i] :
( ( ( ( sK6_SY318 @ SV44 )
| ( sK3_SY304 @ SV44 ) )
= $false )
| ( ( ~ ( ~ ( sK6_SY318 @ SV44 )
| ~ ( sK3_SY304 @ SV44 ) ) )
= $true )
| ( ( ( sK6_SY318 @ SV40 )
= ( sK2_SY299 @ SV40 ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(416,plain,
! [SV42: $i] :
( ( ( ~ ( sK6_SY318 @ SV42 )
| ~ ( sK3_SY304 @ SV42 ) )
= $false )
| ( ( sK6_SY318 @ SV42 )
= $false )
| ( ( sK6_SY318 = sK2_SY299 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(417,plain,
! [SV42: $i] :
( ( ( ~ ( sK6_SY318 @ SV42 )
| ~ ( sK3_SY304 @ SV42 ) )
= $false )
| ( ( sK3_SY304 @ SV42 )
= $false )
| ( ( sK6_SY318 = sK2_SY299 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(418,plain,
! [SV33: $i > $o] :
( ( ( SV33 @ sK5_E )
= $false )
| ( ( SV33 @ ( sK7_SV35 @ SV33 ) )
= $false )
| ( ( sK2_SY299 @ ( sK7_SV35 @ SV33 ) )
= $false )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(419,plain,
! [SV33: $i > $o] :
( ( ( SV33 @ sK5_E )
= $false )
| ( ( SV33 @ ( sK8_SV36 @ SV33 ) )
= $false )
| ( ( sK3_SY304 @ ( sK8_SV36 @ SV33 ) )
= $false )
| ( ( sK2_SY299 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(420,plain,
! [SV34: $i > $o] :
( ( ( SV34 @ sK5_E )
= $false )
| ( ( SV34 @ ( sK9_SV37 @ SV34 ) )
= $false )
| ( ( sK2_SY299 @ ( sK9_SV37 @ SV34 ) )
= $false )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(421,plain,
! [SV34: $i > $o] :
( ( ( SV34 @ sK5_E )
= $false )
| ( ( SV34 @ ( sK10_SV38 @ SV34 ) )
= $false )
| ( ( sK3_SY304 @ ( sK10_SV38 @ SV34 ) )
= $false )
| ( ( sK3_SY304 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(423,plain,
! [SV40: $i] :
( ( ( sK2_SY299 @ SV40 )
= $true )
| ( ( sK6_SY318 @ SV40 )
= $false )
| ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[412]) ).
thf(424,plain,
! [SV40: $i] :
( ( ( sK6_SY318 @ SV40 )
= $true )
| ( ( sK2_SY299 @ SV40 )
= $false )
| ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(426,plain,
! [SV40: $i,SV44: $i] :
( ( ( sK6_SY318 @ SV44 )
= $false )
| ( ( ~ ( ~ ( sK6_SY318 @ SV44 )
| ~ ( sK3_SY304 @ SV44 ) ) )
= $true )
| ( ( ( sK6_SY318 @ SV40 )
= ( sK2_SY299 @ SV40 ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(427,plain,
! [SV40: $i,SV44: $i] :
( ( ( sK3_SY304 @ SV44 )
= $false )
| ( ( ~ ( ~ ( sK6_SY318 @ SV44 )
| ~ ( sK3_SY304 @ SV44 ) ) )
= $true )
| ( ( ( sK6_SY318 @ SV40 )
= ( sK2_SY299 @ SV40 ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(429,plain,
! [SV42: $i] :
( ( ( ~ ( sK3_SY304 @ SV42 ) )
= $false )
| ( ( sK6_SY318 @ SV42 )
= $false )
| ( ( sK6_SY318 = sK2_SY299 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(430,plain,
! [SV42: $i] :
( ( ( ~ ( sK6_SY318 @ SV42 ) )
= $false )
| ( ( sK3_SY304 @ SV42 )
= $false )
| ( ( sK6_SY318 = sK2_SY299 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(434,plain,
! [SV40: $i] :
( ( ( ! [SV46: $i] :
( ( sK6_SY318 @ SV46 )
= ( sK3_SY304 @ SV46 ) ) )
= $true )
| ( ( sK6_SY318 @ SV40 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[423]) ).
thf(435,plain,
! [SV40: $i] :
( ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( sK6_SY318 @ SV40 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[423]) ).
thf(436,plain,
! [SV40: $i] :
( ( ( ! [SV47: $i] :
( ( sK6_SY318 @ SV47 )
= ( sK3_SY304 @ SV47 ) ) )
= $true )
| ( ( sK2_SY299 @ SV40 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[424]) ).
thf(437,plain,
! [SV40: $i] :
( ( ( sK6_SY318 = sK3_SY304 )
= $true )
| ( ( sK2_SY299 @ SV40 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[424]) ).
thf(440,plain,
! [SV40: $i,SV44: $i] :
( ( ( ~ ( sK6_SY318 @ SV44 )
| ~ ( sK3_SY304 @ SV44 ) )
= $false )
| ( ( sK6_SY318 @ SV44 )
= $false )
| ( ( ( sK6_SY318 @ SV40 )
= ( sK2_SY299 @ SV40 ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(441,plain,
! [SV40: $i,SV44: $i] :
( ( ( ~ ( sK6_SY318 @ SV44 )
| ~ ( sK3_SY304 @ SV44 ) )
= $false )
| ( ( sK3_SY304 @ SV44 )
= $false )
| ( ( ( sK6_SY318 @ SV40 )
= ( sK2_SY299 @ SV40 ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(443,plain,
! [SV42: $i] :
( ( ( sK3_SY304 @ SV42 )
= $true )
| ( ( sK6_SY318 @ SV42 )
= $false )
| ( ( sK6_SY318 = sK2_SY299 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(444,plain,
! [SV42: $i] :
( ( ( sK6_SY318 @ SV42 )
= $true )
| ( ( sK3_SY304 @ SV42 )
= $false )
| ( ( sK6_SY318 = sK2_SY299 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(447,plain,
! [SV40: $i,SV50: $i] :
( ( ( ( sK6_SY318 @ SV50 )
= ( sK3_SY304 @ SV50 ) )
= $true )
| ( ( sK6_SY318 @ SV40 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(448,plain,
! [SV40: $i,SV51: $i] :
( ( ( ( sK6_SY318 @ SV51 )
= ( sK3_SY304 @ SV51 ) )
= $true )
| ( ( sK2_SY299 @ SV40 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(451,plain,
! [SV40: $i,SV44: $i] :
( ( ( ~ ( sK3_SY304 @ SV44 ) )
= $false )
| ( ( sK6_SY318 @ SV44 )
= $false )
| ( ( ( sK6_SY318 @ SV40 )
= ( sK2_SY299 @ SV40 ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(452,plain,
! [SV40: $i,SV44: $i] :
( ( ( ~ ( sK6_SY318 @ SV44 ) )
= $false )
| ( ( sK3_SY304 @ SV44 )
= $false )
| ( ( ( sK6_SY318 @ SV40 )
= ( sK2_SY299 @ SV40 ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(456,plain,
! [SV40: $i,SV50: $i] :
( ( ( ~ ( ( sK6_SY318 @ SV50 )
| ( sK3_SY304 @ SV50 ) )
| ~ ( ~ ( sK6_SY318 @ SV50 )
| ~ ( sK3_SY304 @ SV50 ) ) )
= $true )
| ( ( sK6_SY318 @ SV40 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[447]) ).
thf(457,plain,
! [SV40: $i,SV50: $i] :
( ( ( ( sK6_SY318 @ SV50 )
= ( sK3_SY304 @ SV50 ) )
= $true )
| ( ( sK6_SY318 @ SV40 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[447]) ).
thf(458,plain,
! [SV40: $i,SV51: $i] :
( ( ( ~ ( ( sK6_SY318 @ SV51 )
| ( sK3_SY304 @ SV51 ) )
| ~ ( ~ ( sK6_SY318 @ SV51 )
| ~ ( sK3_SY304 @ SV51 ) ) )
= $true )
| ( ( sK2_SY299 @ SV40 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[448]) ).
thf(459,plain,
! [SV40: $i,SV51: $i] :
( ( ( ( sK6_SY318 @ SV51 )
= ( sK3_SY304 @ SV51 ) )
= $true )
| ( ( sK2_SY299 @ SV40 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[448]) ).
thf(463,plain,
! [SV40: $i,SV44: $i] :
( ( ( sK3_SY304 @ SV44 )
= $true )
| ( ( sK6_SY318 @ SV44 )
= $false )
| ( ( ( sK6_SY318 @ SV40 )
= ( sK2_SY299 @ SV40 ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(464,plain,
! [SV40: $i,SV44: $i] :
( ( ( sK6_SY318 @ SV44 )
= $true )
| ( ( sK3_SY304 @ SV44 )
= $false )
| ( ( ( sK6_SY318 @ SV40 )
= ( sK2_SY299 @ SV40 ) )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(467,plain,
! [SV40: $i,SV50: $i] :
( ( ( ~ ( ( sK6_SY318 @ SV50 )
| ( sK3_SY304 @ SV50 ) ) )
= $true )
| ( ( ~ ( ~ ( sK6_SY318 @ SV50 )
| ~ ( sK3_SY304 @ SV50 ) ) )
= $true )
| ( ( sK6_SY318 @ SV40 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(468,plain,
! [SV40: $i,SV51: $i] :
( ( ( ~ ( ( sK6_SY318 @ SV51 )
| ( sK3_SY304 @ SV51 ) ) )
= $true )
| ( ( ~ ( ~ ( sK6_SY318 @ SV51 )
| ~ ( sK3_SY304 @ SV51 ) ) )
= $true )
| ( ( sK2_SY299 @ SV40 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(471,plain,
! [SV40: $i,SV50: $i] :
( ( ( ( sK6_SY318 @ SV50 )
| ( sK3_SY304 @ SV50 ) )
= $false )
| ( ( ~ ( ~ ( sK6_SY318 @ SV50 )
| ~ ( sK3_SY304 @ SV50 ) ) )
= $true )
| ( ( sK6_SY318 @ SV40 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(472,plain,
! [SV40: $i,SV51: $i] :
( ( ( ( sK6_SY318 @ SV51 )
| ( sK3_SY304 @ SV51 ) )
= $false )
| ( ( ~ ( ~ ( sK6_SY318 @ SV51 )
| ~ ( sK3_SY304 @ SV51 ) ) )
= $true )
| ( ( sK2_SY299 @ SV40 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(476,plain,
! [SV40: $i,SV50: $i] :
( ( ( sK6_SY318 @ SV50 )
= $false )
| ( ( ~ ( ~ ( sK6_SY318 @ SV50 )
| ~ ( sK3_SY304 @ SV50 ) ) )
= $true )
| ( ( sK6_SY318 @ SV40 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(477,plain,
! [SV40: $i,SV50: $i] :
( ( ( sK3_SY304 @ SV50 )
= $false )
| ( ( ~ ( ~ ( sK6_SY318 @ SV50 )
| ~ ( sK3_SY304 @ SV50 ) ) )
= $true )
| ( ( sK6_SY318 @ SV40 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(478,plain,
! [SV40: $i,SV51: $i] :
( ( ( sK6_SY318 @ SV51 )
= $false )
| ( ( ~ ( ~ ( sK6_SY318 @ SV51 )
| ~ ( sK3_SY304 @ SV51 ) ) )
= $true )
| ( ( sK2_SY299 @ SV40 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(479,plain,
! [SV40: $i,SV51: $i] :
( ( ( sK3_SY304 @ SV51 )
= $false )
| ( ( ~ ( ~ ( sK6_SY318 @ SV51 )
| ~ ( sK3_SY304 @ SV51 ) ) )
= $true )
| ( ( sK2_SY299 @ SV40 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(484,plain,
! [SV40: $i,SV50: $i] :
( ( ( ~ ( sK6_SY318 @ SV50 )
| ~ ( sK3_SY304 @ SV50 ) )
= $false )
| ( ( sK6_SY318 @ SV50 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(485,plain,
! [SV40: $i,SV50: $i] :
( ( ( ~ ( sK6_SY318 @ SV50 )
| ~ ( sK3_SY304 @ SV50 ) )
= $false )
| ( ( sK3_SY304 @ SV50 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(486,plain,
! [SV40: $i,SV51: $i] :
( ( ( ~ ( sK6_SY318 @ SV51 )
| ~ ( sK3_SY304 @ SV51 ) )
= $false )
| ( ( sK6_SY318 @ SV51 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(487,plain,
! [SV40: $i,SV51: $i] :
( ( ( ~ ( sK6_SY318 @ SV51 )
| ~ ( sK3_SY304 @ SV51 ) )
= $false )
| ( ( sK3_SY304 @ SV51 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(495,plain,
! [SV40: $i,SV50: $i] :
( ( ( ~ ( sK3_SY304 @ SV50 ) )
= $false )
| ( ( sK6_SY318 @ SV50 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(496,plain,
! [SV40: $i,SV50: $i] :
( ( ( ~ ( sK6_SY318 @ SV50 ) )
= $false )
| ( ( sK3_SY304 @ SV50 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[485]) ).
thf(499,plain,
! [SV40: $i,SV51: $i] :
( ( ( ~ ( sK3_SY304 @ SV51 ) )
= $false )
| ( ( sK6_SY318 @ SV51 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(500,plain,
! [SV40: $i,SV51: $i] :
( ( ( ~ ( sK6_SY318 @ SV51 ) )
= $false )
| ( ( sK3_SY304 @ SV51 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(511,plain,
! [SV40: $i,SV50: $i] :
( ( ( sK3_SY304 @ SV50 )
= $true )
| ( ( sK6_SY318 @ SV50 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[495]) ).
thf(512,plain,
! [SV40: $i,SV50: $i] :
( ( ( sK6_SY318 @ SV50 )
= $true )
| ( ( sK3_SY304 @ SV50 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(515,plain,
! [SV40: $i,SV51: $i] :
( ( ( sK3_SY304 @ SV51 )
= $true )
| ( ( sK6_SY318 @ SV51 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(516,plain,
! [SV40: $i,SV51: $i] :
( ( ( sK6_SY318 @ SV51 )
= $true )
| ( ( sK3_SY304 @ SV51 )
= $false )
| ( ( sK2_SY299 @ SV40 )
= $false )
| ( ( sK6_SY318 @ SV40 )
= $true )
| ( ( sK3_SY304 @ sK5_E )
= $true )
| ( ( sK2_SY299 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(522,plain,
! [SV53: $i > $o,SV54: $i > $o] :
( ( ( SV54 = SV53 )
= $true )
| ( ( SV53 @ ( sK4_X @ SV53 @ SV54 ) )
= $true )
| ( ( SV54 @ ( sK4_X @ SV53 @ SV54 ) )
= $true ) ),
inference(rename,[status(thm)],[30]) ).
thf(527,plain,
! [SV54: $i > $o] :
( ( ( SV54
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV54 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[522:[bind(SV53,$thf( ^ [SV57: $i] : $false ))]]) ).
thf(528,plain,
! [SV54: $i > $o] :
( ( ( SV54
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV54 ) )
= $true ) ),
inference(sim,[status(thm)],[527]) ).
thf(529,plain,
! [SV56: $i > $o,SV54: $i > $o] :
( ( ( SV54
= ( ^ [SX0: $i] :
~ ( SV56 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[522:[bind(SV53,$thf( ^ [SV55: $i] : ~ ( SV56 @ SV55 ) ))]]) ).
thf(530,plain,
! [SV54: $i > $o] :
( ( ( SV54
= ( ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 )
= sK5_E )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[522:[bind(SV53,$thf( ^ [SV59: $i] : ( SV59 = sK5_E ) ))]]) ).
thf(532,plain,
! [SV53: $i > $o] :
( ( ( ( ^ [SX0: $i] : $false )
= SV53 )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[522:[bind(SV54,$thf( ^ [SV88: $i] : $false ))]]) ).
thf(533,plain,
! [SV53: $i > $o] :
( ( ( ( ^ [SX0: $i] : $false )
= SV53 )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[532]) ).
thf(534,plain,
! [SV53: $i > $o,SV87: $i > $o] :
( ( ( ( ^ [SX0: $i] :
~ ( SV87 @ SX0 ) )
= SV53 )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[522:[bind(SV54,$thf( ^ [SV86: $i] : ~ ( SV87 @ SV86 ) ))]]) ).
thf(535,plain,
! [SV53: $i > $o] :
( ( ( ( ^ [SX0: $i] : ( SX0 = sK5_E ) )
= SV53 )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(prim_subst,[status(thm)],[522:[bind(SV54,$thf( ^ [SV90: $i] : ( SV90 = sK5_E ) ))]]) ).
thf(536,plain,
! [SV53: $i > $o,SV54: $i > $o] :
( ( ( ! [SV117: $i] :
( ( SV54 @ SV117 )
= ( SV53 @ SV117 ) ) )
= $true )
| ( ( SV53 @ ( sK4_X @ SV53 @ SV54 ) )
= $true )
| ( ( SV54 @ ( sK4_X @ SV53 @ SV54 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[522]) ).
thf(537,plain,
! [SV53: $i > $o,SV54: $i > $o] :
( ( ( SV54 = SV53 )
= $true )
| ( ( SV53 @ ( sK4_X @ SV53 @ SV54 ) )
= $true )
| ( ( SV54 @ ( sK4_X @ SV53 @ SV54 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[522]) ).
thf(538,plain,
! [SV53: $i > $o,SV118: $i,SV54: $i > $o] :
( ( ( ( SV54 @ SV118 )
= ( SV53 @ SV118 ) )
= $true )
| ( ( SV53 @ ( sK4_X @ SV53 @ SV54 ) )
= $true )
| ( ( SV54 @ ( sK4_X @ SV53 @ SV54 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(539,plain,
! [SV53: $i > $o,SV118: $i,SV54: $i > $o] :
( ( ( ~ ( ( SV54 @ SV118 )
| ( SV53 @ SV118 ) )
| ~ ( ~ ( SV54 @ SV118 )
| ~ ( SV53 @ SV118 ) ) )
= $true )
| ( ( SV53 @ ( sK4_X @ SV53 @ SV54 ) )
= $true )
| ( ( SV54 @ ( sK4_X @ SV53 @ SV54 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[538]) ).
thf(540,plain,
! [SV53: $i > $o,SV118: $i,SV54: $i > $o] :
( ( ( ( SV54 @ SV118 )
= ( SV53 @ SV118 ) )
= $true )
| ( ( SV53 @ ( sK4_X @ SV53 @ SV54 ) )
= $true )
| ( ( SV54 @ ( sK4_X @ SV53 @ SV54 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[538]) ).
thf(541,plain,
! [SV53: $i > $o,SV118: $i,SV54: $i > $o] :
( ( ( ~ ( ( SV54 @ SV118 )
| ( SV53 @ SV118 ) ) )
= $true )
| ( ( ~ ( ~ ( SV54 @ SV118 )
| ~ ( SV53 @ SV118 ) ) )
= $true )
| ( ( SV53 @ ( sK4_X @ SV53 @ SV54 ) )
= $true )
| ( ( SV54 @ ( sK4_X @ SV53 @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[539]) ).
thf(542,plain,
! [SV53: $i > $o,SV118: $i,SV54: $i > $o] :
( ( ( ( SV54 @ SV118 )
| ( SV53 @ SV118 ) )
= $false )
| ( ( ~ ( ~ ( SV54 @ SV118 )
| ~ ( SV53 @ SV118 ) ) )
= $true )
| ( ( SV53 @ ( sK4_X @ SV53 @ SV54 ) )
= $true )
| ( ( SV54 @ ( sK4_X @ SV53 @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(543,plain,
! [SV53: $i > $o,SV118: $i,SV54: $i > $o] :
( ( ( SV54 @ SV118 )
= $false )
| ( ( ~ ( ~ ( SV54 @ SV118 )
| ~ ( SV53 @ SV118 ) ) )
= $true )
| ( ( SV53 @ ( sK4_X @ SV53 @ SV54 ) )
= $true )
| ( ( SV54 @ ( sK4_X @ SV53 @ SV54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[542]) ).
thf(544,plain,
! [SV54: $i > $o,SV118: $i,SV53: $i > $o] :
( ( ( SV53 @ SV118 )
= $false )
| ( ( ~ ( ~ ( SV54 @ SV118 )
| ~ ( SV53 @ SV118 ) ) )
= $true )
| ( ( SV53 @ ( sK4_X @ SV53 @ SV54 ) )
= $true )
| ( ( SV54 @ ( sK4_X @ SV53 @ SV54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[542]) ).
thf(545,plain,
! [SV53: $i > $o,SV118: $i,SV54: $i > $o] :
( ( ( ~ ( SV54 @ SV118 )
| ~ ( SV53 @ SV118 ) )
= $false )
| ( ( SV54 @ SV118 )
= $false )
| ( ( SV53 @ ( sK4_X @ SV53 @ SV54 ) )
= $true )
| ( ( SV54 @ ( sK4_X @ SV53 @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(546,plain,
! [SV53: $i > $o,SV118: $i,SV54: $i > $o] :
( ( ( ~ ( SV54 @ SV118 )
| ~ ( SV53 @ SV118 ) )
= $false )
| ( ( SV53 @ SV118 )
= $false )
| ( ( SV53 @ ( sK4_X @ SV53 @ SV54 ) )
= $true )
| ( ( SV54 @ ( sK4_X @ SV53 @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(548,plain,
! [SV54: $i > $o,SV118: $i,SV53: $i > $o] :
( ( ( ~ ( SV53 @ SV118 ) )
= $false )
| ( ( SV54 @ SV118 )
= $false )
| ( ( SV53 @ ( sK4_X @ SV53 @ SV54 ) )
= $true )
| ( ( SV54 @ ( sK4_X @ SV53 @ SV54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(549,plain,
! [SV53: $i > $o,SV118: $i,SV54: $i > $o] :
( ( ( ~ ( SV54 @ SV118 ) )
= $false )
| ( ( SV53 @ SV118 )
= $false )
| ( ( SV53 @ ( sK4_X @ SV53 @ SV54 ) )
= $true )
| ( ( SV54 @ ( sK4_X @ SV53 @ SV54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[546]) ).
thf(552,plain,
! [SV54: $i > $o,SV118: $i,SV53: $i > $o] :
( ( ( SV53 @ SV118 )
= $true )
| ( ( SV54 @ SV118 )
= $false )
| ( ( SV53 @ ( sK4_X @ SV53 @ SV54 ) )
= $true )
| ( ( SV54 @ ( sK4_X @ SV53 @ SV54 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(553,plain,
! [SV53: $i > $o,SV118: $i,SV54: $i > $o] :
( ( ( SV54 @ SV118 )
= $true )
| ( ( SV53 @ SV118 )
= $false )
| ( ( SV53 @ ( sK4_X @ SV53 @ SV54 ) )
= $true )
| ( ( SV54 @ ( sK4_X @ SV53 @ SV54 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[549]) ).
thf(555,plain,
! [SV54: $i > $o] :
( ( ( ! [SV125: $i] :
( ( SV54 @ SV125 )
= $false ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV54 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[528]) ).
thf(556,plain,
! [SV54: $i > $o] :
( ( ( SV54
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV54 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[528]) ).
thf(557,plain,
! [SV56: $i > $o,SV54: $i > $o] :
( ( ( ! [SV126: $i] :
( ( SV54 @ SV126 )
= ( ~ ( SV56 @ SV126 ) ) ) )
= $true )
| ( ( ~ ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[529]) ).
thf(558,plain,
! [SV56: $i > $o,SV54: $i > $o] :
( ( ( SV54
= ( ^ [SX0: $i] :
~ ( SV56 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[529]) ).
thf(559,plain,
! [SV54: $i > $o] :
( ( ( ! [SV127: $i] :
( ( SV54 @ SV127 )
= ( SV127 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 )
= sK5_E )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[530]) ).
thf(560,plain,
! [SV54: $i > $o] :
( ( ( SV54
= ( ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 )
= sK5_E )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[530]) ).
thf(561,plain,
! [SV53: $i > $o] :
( ( ( ! [SV128: $i] :
( $false
= ( SV53 @ SV128 ) ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[533]) ).
thf(562,plain,
! [SV53: $i > $o] :
( ( ( ( ^ [SX0: $i] : $false )
= SV53 )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[533]) ).
thf(563,plain,
! [SV53: $i > $o,SV87: $i > $o] :
( ( ( ! [SV129: $i] :
( ( ~ ( SV87 @ SV129 ) )
= ( SV53 @ SV129 ) ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[534]) ).
thf(564,plain,
! [SV53: $i > $o,SV87: $i > $o] :
( ( ( ( ^ [SX0: $i] :
~ ( SV87 @ SX0 ) )
= SV53 )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[534]) ).
thf(565,plain,
! [SV53: $i > $o] :
( ( ( ! [SV130: $i] :
( ( SV130 = sK5_E )
= ( SV53 @ SV130 ) ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[535]) ).
thf(566,plain,
! [SV53: $i > $o] :
( ( ( ( ^ [SX0: $i] : ( SX0 = sK5_E ) )
= SV53 )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[535]) ).
thf(567,plain,
! [SV131: $i,SV54: $i > $o] :
( ( ( ( SV54 @ SV131 )
= $false )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV54 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(568,plain,
! [SV56: $i > $o,SV132: $i,SV54: $i > $o] :
( ( ( ( SV54 @ SV132 )
= ( ~ ( SV56 @ SV132 ) ) )
= $true )
| ( ( ~ ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(569,plain,
! [SV54: $i > $o,SV56: $i > $o] :
( ( ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $false )
| ( ( SV54
= ( ^ [SX0: $i] :
~ ( SV56 @ SX0 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(570,plain,
! [SV133: $i,SV54: $i > $o] :
( ( ( ( SV54 @ SV133 )
= ( SV133 = sK5_E ) )
= $true )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 )
= sK5_E )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(571,plain,
! [SV134: $i,SV53: $i > $o] :
( ( ( $false
= ( SV53 @ SV134 ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(572,plain,
! [SV53: $i > $o,SV135: $i,SV87: $i > $o] :
( ( ( ( ~ ( SV87 @ SV135 ) )
= ( SV53 @ SV135 ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(573,plain,
! [SV53: $i > $o,SV87: $i > $o] :
( ( ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $false )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
~ ( SV87 @ SX0 ) )
= SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(574,plain,
! [SV53: $i > $o,SV136: $i] :
( ( ( ( SV136 = sK5_E )
= ( SV53 @ SV136 ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(575,plain,
! [SV131: $i,SV54: $i > $o] :
( ( ( ~ ( ( SV54 @ SV131 )
| $false )
| ~ ( ~ ( SV54 @ SV131 )
| ~ $false ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV54 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[567]) ).
thf(576,plain,
! [SV131: $i,SV54: $i > $o] :
( ( ( ( SV54 @ SV131 )
= $false )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV54 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[567]) ).
thf(577,plain,
! [SV56: $i > $o,SV132: $i,SV54: $i > $o] :
( ( ( ~ ( ( SV54 @ SV132 )
| ~ ( SV56 @ SV132 ) )
| ~ ( ~ ( SV54 @ SV132 )
| ~ ~ ( SV56 @ SV132 ) ) )
= $true )
| ( ( ~ ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[568]) ).
thf(578,plain,
! [SV56: $i > $o,SV132: $i,SV54: $i > $o] :
( ( ( ( SV54 @ SV132 )
= ( ~ ( SV56 @ SV132 ) ) )
= $true )
| ( ( ~ ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[568]) ).
thf(579,plain,
! [SV133: $i,SV54: $i > $o] :
( ( ( ~ ( ( SV54 @ SV133 )
| ( SV133 = sK5_E ) )
| ~ ( ~ ( SV54 @ SV133 )
| ( SV133 != sK5_E ) ) )
= $true )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 )
= sK5_E )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[570]) ).
thf(580,plain,
! [SV133: $i,SV54: $i > $o] :
( ( ( ( SV54 @ SV133 )
= ( SV133 = sK5_E ) )
= $true )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 )
= sK5_E )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[570]) ).
thf(581,plain,
! [SV134: $i,SV53: $i > $o] :
( ( ( ~ ( $false
| ( SV53 @ SV134 ) )
| ~ ( ~ $false
| ~ ( SV53 @ SV134 ) ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[571]) ).
thf(582,plain,
! [SV134: $i,SV53: $i > $o] :
( ( ( $false
= ( SV53 @ SV134 ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[571]) ).
thf(583,plain,
! [SV53: $i > $o,SV135: $i,SV87: $i > $o] :
( ( ( ~ ( ~ ( SV87 @ SV135 )
| ( SV53 @ SV135 ) )
| ~ ( ~ ~ ( SV87 @ SV135 )
| ~ ( SV53 @ SV135 ) ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[572]) ).
thf(584,plain,
! [SV53: $i > $o,SV135: $i,SV87: $i > $o] :
( ( ( ( ~ ( SV87 @ SV135 ) )
= ( SV53 @ SV135 ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[572]) ).
thf(585,plain,
! [SV53: $i > $o,SV136: $i] :
( ( ( ~ ( ( SV136 = sK5_E )
| ( SV53 @ SV136 ) )
| ~ ( ( SV136 != sK5_E )
| ~ ( SV53 @ SV136 ) ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[574]) ).
thf(586,plain,
! [SV53: $i > $o,SV136: $i] :
( ( ( ( SV136 = sK5_E )
= ( SV53 @ SV136 ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[574]) ).
thf(587,plain,
! [SV131: $i,SV54: $i > $o] :
( ( ( ~ ( ( SV54 @ SV131 )
| $false ) )
= $true )
| ( ( ~ ( ~ ( SV54 @ SV131 )
| ~ $false ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(588,plain,
! [SV56: $i > $o,SV132: $i,SV54: $i > $o] :
( ( ( ~ ( ( SV54 @ SV132 )
| ~ ( SV56 @ SV132 ) ) )
= $true )
| ( ( ~ ( ~ ( SV54 @ SV132 )
| ~ ~ ( SV56 @ SV132 ) ) )
= $true )
| ( ( ~ ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[577]) ).
thf(589,plain,
! [SV132: $i,SV54: $i > $o,SV56: $i > $o] :
( ( ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $false )
| ( ( ( SV54 @ SV132 )
= ( ~ ( SV56 @ SV132 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(590,plain,
! [SV133: $i,SV54: $i > $o] :
( ( ( ~ ( ( SV54 @ SV133 )
| ( SV133 = sK5_E ) ) )
= $true )
| ( ( ~ ( ~ ( SV54 @ SV133 )
| ( SV133 != sK5_E ) ) )
= $true )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 )
= sK5_E )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[579]) ).
thf(591,plain,
! [SV134: $i,SV53: $i > $o] :
( ( ( ~ ( $false
| ( SV53 @ SV134 ) ) )
= $true )
| ( ( ~ ( ~ $false
| ~ ( SV53 @ SV134 ) ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[581]) ).
thf(592,plain,
! [SV53: $i > $o,SV135: $i,SV87: $i > $o] :
( ( ( ~ ( ~ ( SV87 @ SV135 )
| ( SV53 @ SV135 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( SV87 @ SV135 )
| ~ ( SV53 @ SV135 ) ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[583]) ).
thf(593,plain,
! [SV135: $i,SV53: $i > $o,SV87: $i > $o] :
( ( ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $false )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ( ~ ( SV87 @ SV135 ) )
= ( SV53 @ SV135 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(594,plain,
! [SV53: $i > $o,SV136: $i] :
( ( ( ~ ( ( SV136 = sK5_E )
| ( SV53 @ SV136 ) ) )
= $true )
| ( ( ~ ( ( SV136 != sK5_E )
| ~ ( SV53 @ SV136 ) ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[585]) ).
thf(595,plain,
! [SV131: $i,SV54: $i > $o] :
( ( ( ( SV54 @ SV131 )
| $false )
= $false )
| ( ( ~ ( ~ ( SV54 @ SV131 )
| ~ $false ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(596,plain,
! [SV56: $i > $o,SV132: $i,SV54: $i > $o] :
( ( ( ( SV54 @ SV132 )
| ~ ( SV56 @ SV132 ) )
= $false )
| ( ( ~ ( ~ ( SV54 @ SV132 )
| ~ ~ ( SV56 @ SV132 ) ) )
= $true )
| ( ( ~ ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(597,plain,
! [SV133: $i,SV54: $i > $o] :
( ( ( ( SV54 @ SV133 )
| ( SV133 = sK5_E ) )
= $false )
| ( ( ~ ( ~ ( SV54 @ SV133 )
| ( SV133 != sK5_E ) ) )
= $true )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 )
= sK5_E )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(598,plain,
! [SV134: $i,SV53: $i > $o] :
( ( ( $false
| ( SV53 @ SV134 ) )
= $false )
| ( ( ~ ( ~ $false
| ~ ( SV53 @ SV134 ) ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(599,plain,
! [SV53: $i > $o,SV135: $i,SV87: $i > $o] :
( ( ( ~ ( SV87 @ SV135 )
| ( SV53 @ SV135 ) )
= $false )
| ( ( ~ ( ~ ~ ( SV87 @ SV135 )
| ~ ( SV53 @ SV135 ) ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(600,plain,
! [SV53: $i > $o,SV136: $i] :
( ( ( ( SV136 = sK5_E )
| ( SV53 @ SV136 ) )
= $false )
| ( ( ~ ( ( SV136 != sK5_E )
| ~ ( SV53 @ SV136 ) ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(601,plain,
! [SV131: $i,SV54: $i > $o] :
( ( ( SV54 @ SV131 )
= $false )
| ( ( ~ ( ~ ( SV54 @ SV131 )
| ~ $false ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[595]) ).
thf(603,plain,
! [SV56: $i > $o,SV132: $i,SV54: $i > $o] :
( ( ( SV54 @ SV132 )
= $false )
| ( ( ~ ( ~ ( SV54 @ SV132 )
| ~ ~ ( SV56 @ SV132 ) ) )
= $true )
| ( ( ~ ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[596]) ).
thf(604,plain,
! [SV54: $i > $o,SV132: $i,SV56: $i > $o] :
( ( ( ~ ( SV56 @ SV132 ) )
= $false )
| ( ( ~ ( ~ ( SV54 @ SV132 )
| ~ ~ ( SV56 @ SV132 ) ) )
= $true )
| ( ( ~ ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[596]) ).
thf(605,plain,
! [SV133: $i,SV54: $i > $o] :
( ( ( SV54 @ SV133 )
= $false )
| ( ( ~ ( ~ ( SV54 @ SV133 )
| ( SV133 != sK5_E ) ) )
= $true )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 )
= sK5_E )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[597]) ).
thf(606,plain,
! [SV54: $i > $o,SV133: $i] :
( ( ( SV133 = sK5_E )
= $false )
| ( ( ~ ( ~ ( SV54 @ SV133 )
| ( SV133 != sK5_E ) ) )
= $true )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 )
= sK5_E )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[597]) ).
thf(608,plain,
! [SV134: $i,SV53: $i > $o] :
( ( ( SV53 @ SV134 )
= $false )
| ( ( ~ ( ~ $false
| ~ ( SV53 @ SV134 ) ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(609,plain,
! [SV53: $i > $o,SV135: $i,SV87: $i > $o] :
( ( ( ~ ( SV87 @ SV135 ) )
= $false )
| ( ( ~ ( ~ ~ ( SV87 @ SV135 )
| ~ ( SV53 @ SV135 ) ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[599]) ).
thf(610,plain,
! [SV87: $i > $o,SV135: $i,SV53: $i > $o] :
( ( ( SV53 @ SV135 )
= $false )
| ( ( ~ ( ~ ~ ( SV87 @ SV135 )
| ~ ( SV53 @ SV135 ) ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[599]) ).
thf(611,plain,
! [SV53: $i > $o,SV136: $i] :
( ( ( SV136 = sK5_E )
= $false )
| ( ( ~ ( ( SV136 != sK5_E )
| ~ ( SV53 @ SV136 ) ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[600]) ).
thf(612,plain,
! [SV136: $i,SV53: $i > $o] :
( ( ( SV53 @ SV136 )
= $false )
| ( ( ~ ( ( SV136 != sK5_E )
| ~ ( SV53 @ SV136 ) ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[600]) ).
thf(613,plain,
! [SV131: $i,SV54: $i > $o] :
( ( ( ~ ( SV54 @ SV131 )
| ~ $false )
= $false )
| ( ( SV54 @ SV131 )
= $false )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(615,plain,
! [SV56: $i > $o,SV132: $i,SV54: $i > $o] :
( ( ( ~ ( SV54 @ SV132 )
| ~ ~ ( SV56 @ SV132 ) )
= $false )
| ( ( SV54 @ SV132 )
= $false )
| ( ( ~ ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(616,plain,
! [SV54: $i > $o,SV132: $i,SV56: $i > $o] :
( ( ( SV56 @ SV132 )
= $true )
| ( ( ~ ( ~ ( SV54 @ SV132 )
| ~ ~ ( SV56 @ SV132 ) ) )
= $true )
| ( ( ~ ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[604]) ).
thf(617,plain,
! [SV133: $i,SV54: $i > $o] :
( ( ( ~ ( SV54 @ SV133 )
| ( SV133 != sK5_E ) )
= $false )
| ( ( SV54 @ SV133 )
= $false )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 )
= sK5_E )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(618,plain,
! [SV133: $i,SV54: $i > $o] :
( ( ( ~ ( SV54 @ SV133 )
| ( SV133 != sK5_E ) )
= $false )
| ( ( SV133 = sK5_E )
= $false )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 )
= sK5_E )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(620,plain,
! [SV134: $i,SV53: $i > $o] :
( ( ( ~ $false
| ~ ( SV53 @ SV134 ) )
= $false )
| ( ( SV53 @ SV134 )
= $false )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(621,plain,
! [SV53: $i > $o,SV135: $i,SV87: $i > $o] :
( ( ( SV87 @ SV135 )
= $true )
| ( ( ~ ( ~ ~ ( SV87 @ SV135 )
| ~ ( SV53 @ SV135 ) ) )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[609]) ).
thf(622,plain,
! [SV53: $i > $o,SV135: $i,SV87: $i > $o] :
( ( ( ~ ~ ( SV87 @ SV135 )
| ~ ( SV53 @ SV135 ) )
= $false )
| ( ( SV53 @ SV135 )
= $false )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(623,plain,
! [SV53: $i > $o,SV136: $i] :
( ( ( ( SV136 != sK5_E )
| ~ ( SV53 @ SV136 ) )
= $false )
| ( ( SV136 = sK5_E )
= $false )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(624,plain,
! [SV53: $i > $o,SV136: $i] :
( ( ( ( SV136 != sK5_E )
| ~ ( SV53 @ SV136 ) )
= $false )
| ( ( SV53 @ SV136 )
= $false )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(626,plain,
! [SV131: $i,SV54: $i > $o] :
( ( ( ~ $false )
= $false )
| ( ( SV54 @ SV131 )
= $false )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[613]) ).
thf(630,plain,
! [SV54: $i > $o,SV132: $i,SV56: $i > $o] :
( ( ( ~ ~ ( SV56 @ SV132 ) )
= $false )
| ( ( SV54 @ SV132 )
= $false )
| ( ( ~ ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[615]) ).
thf(631,plain,
! [SV56: $i > $o,SV132: $i,SV54: $i > $o] :
( ( ( ~ ( SV54 @ SV132 )
| ~ ~ ( SV56 @ SV132 ) )
= $false )
| ( ( SV56 @ SV132 )
= $true )
| ( ( ~ ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(633,plain,
! [SV54: $i > $o,SV133: $i] :
( ( ( ( SV133 != sK5_E ) )
= $false )
| ( ( SV54 @ SV133 )
= $false )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 )
= sK5_E )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[617]) ).
thf(634,plain,
! [SV133: $i,SV54: $i > $o] :
( ( ( ~ ( SV54 @ SV133 ) )
= $false )
| ( ( SV133 = sK5_E )
= $false )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 )
= sK5_E )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[618]) ).
thf(638,plain,
! [SV134: $i,SV53: $i > $o] :
( ( ( ~ $false )
= $false )
| ( ( SV53 @ SV134 )
= $false )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(640,plain,
! [SV53: $i > $o,SV135: $i,SV87: $i > $o] :
( ( ( ~ ~ ( SV87 @ SV135 )
| ~ ( SV53 @ SV135 ) )
= $false )
| ( ( SV87 @ SV135 )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(641,plain,
! [SV53: $i > $o,SV135: $i,SV87: $i > $o] :
( ( ( ~ ~ ( SV87 @ SV135 ) )
= $false )
| ( ( SV53 @ SV135 )
= $false )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[622]) ).
thf(644,plain,
! [SV136: $i,SV53: $i > $o] :
( ( ( ~ ( SV53 @ SV136 ) )
= $false )
| ( ( SV136 = sK5_E )
= $false )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(645,plain,
! [SV53: $i > $o,SV136: $i] :
( ( ( ( SV136 != sK5_E ) )
= $false )
| ( ( SV53 @ SV136 )
= $false )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[624]) ).
thf(648,plain,
! [SV131: $i,SV54: $i > $o] :
( ( $false = $true )
| ( ( SV54 @ SV131 )
= $false )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV54 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(652,plain,
! [SV54: $i > $o,SV132: $i,SV56: $i > $o] :
( ( ( ~ ( SV56 @ SV132 ) )
= $true )
| ( ( SV54 @ SV132 )
= $false )
| ( ( ~ ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(653,plain,
! [SV56: $i > $o,SV132: $i,SV54: $i > $o] :
( ( ( ~ ( SV54 @ SV132 ) )
= $false )
| ( ( SV56 @ SV132 )
= $true )
| ( ( ~ ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[631]) ).
thf(656,plain,
! [SV54: $i > $o,SV133: $i] :
( ( ( SV133 = sK5_E )
= $true )
| ( ( SV54 @ SV133 )
= $false )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 )
= sK5_E )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[633]) ).
thf(657,plain,
! [SV133: $i,SV54: $i > $o] :
( ( ( SV54 @ SV133 )
= $true )
| ( ( SV133 = sK5_E )
= $false )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 )
= sK5_E )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV54 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[634]) ).
thf(661,plain,
! [SV134: $i,SV53: $i > $o] :
( ( $false = $true )
| ( ( SV53 @ SV134 )
= $false )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[638]) ).
thf(664,plain,
! [SV87: $i > $o,SV135: $i,SV53: $i > $o] :
( ( ( ~ ( SV53 @ SV135 ) )
= $false )
| ( ( SV87 @ SV135 )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[640]) ).
thf(665,plain,
! [SV53: $i > $o,SV135: $i,SV87: $i > $o] :
( ( ( ~ ( SV87 @ SV135 ) )
= $true )
| ( ( SV53 @ SV135 )
= $false )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(668,plain,
! [SV136: $i,SV53: $i > $o] :
( ( ( SV53 @ SV136 )
= $true )
| ( ( SV136 = sK5_E )
= $false )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[644]) ).
thf(669,plain,
! [SV53: $i > $o,SV136: $i] :
( ( ( SV136 = sK5_E )
= $true )
| ( ( SV53 @ SV136 )
= $false )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV53
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(672,plain,
! [SV54: $i > $o,SV132: $i,SV56: $i > $o] :
( ( ( SV56 @ SV132 )
= $false )
| ( ( SV54 @ SV132 )
= $false )
| ( ( ~ ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(673,plain,
! [SV56: $i > $o,SV132: $i,SV54: $i > $o] :
( ( ( SV54 @ SV132 )
= $true )
| ( ( SV56 @ SV132 )
= $true )
| ( ( ~ ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) ) )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[653]) ).
thf(676,plain,
! [SV87: $i > $o,SV135: $i,SV53: $i > $o] :
( ( ( SV53 @ SV135 )
= $true )
| ( ( SV87 @ SV135 )
= $true )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[664]) ).
thf(677,plain,
! [SV53: $i > $o,SV135: $i,SV87: $i > $o] :
( ( ( SV87 @ SV135 )
= $false )
| ( ( SV53 @ SV135 )
= $false )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(679,plain,
! [SV132: $i,SV54: $i > $o,SV56: $i > $o] :
( ( ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $false )
| ( ( SV54 @ SV132 )
= $false )
| ( ( SV56 @ SV132 )
= $false )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[672]) ).
thf(680,plain,
! [SV132: $i,SV54: $i > $o,SV56: $i > $o] :
( ( ( SV56
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $false )
| ( ( SV56 @ SV132 )
= $true )
| ( ( SV54 @ SV132 )
= $true )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 )
@ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(683,plain,
! [SV135: $i,SV53: $i > $o,SV87: $i > $o] :
( ( ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $false )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( SV87 @ SV135 )
= $true )
| ( ( SV53 @ SV135 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[676]) ).
thf(684,plain,
! [SV135: $i,SV53: $i > $o,SV87: $i > $o] :
( ( ( SV87
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $false )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] :
~ ( SV87 @ SX0 ) ) )
= $true )
| ( ( SV53 @ SV135 )
= $false )
| ( ( SV87 @ SV135 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(687,plain,
! [SV131: $i,SV54: $i > $o] :
( ( ( SV54 @ SV131 )
= $false )
| ( ( SV54
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV54 ) )
= $true ) ),
inference(sim,[status(thm)],[648]) ).
thf(688,plain,
! [SV134: $i,SV53: $i > $o] :
( ( ( SV53 @ SV134 )
= $false )
| ( ( SV53
@ ( sK4_X @ SV53
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[661]) ).
thf(689,plain,
! [SV137: $i > $o,SV138: $i > $o] :
( ( ( SV138 = SV137 )
= $true )
| ( ( SV138 @ ( sK4_X @ SV137 @ SV138 ) )
= $false )
| ( ( SV137 @ ( sK4_X @ SV137 @ SV138 ) )
= $false ) ),
inference(rename,[status(thm)],[34]) ).
thf(703,plain,
! [SV137: $i > $o] :
( ( ( ( ^ [SX0: $i] : $true )
= SV137 )
= $true )
| ( $true = $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[689:[bind(SV138,$thf( ^ [SV142: $i] : $true ))]]) ).
thf(704,plain,
! [SV137: $i > $o] :
( ( ( ( ^ [SX0: $i] : $true )
= SV137 )
= $true )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(sim,[status(thm)],[703]) ).
thf(706,plain,
! [SV137: $i > $o,SV140: $i > $o] :
( ( ( ( ^ [SX0: $i] :
~ ( SV140 @ SX0 ) )
= SV137 )
= $true )
| ( ( ~ ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) ) )
= $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[689:[bind(SV138,$thf( ^ [SV139: $i] : ~ ( SV140 @ SV139 ) ))]]) ).
thf(708,plain,
! [SV138: $i > $o] :
( ( ( SV138
= ( ^ [SX0: $i] : $true ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV138 ) )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[689:[bind(SV137,$thf( ^ [SV173: $i] : $true ))]]) ).
thf(709,plain,
! [SV138: $i > $o] :
( ( ( SV138
= ( ^ [SX0: $i] : $true ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV138 ) )
= $false ) ),
inference(sim,[status(thm)],[708]) ).
thf(711,plain,
! [SV171: $i > $o,SV138: $i > $o] :
( ( ( SV138
= ( ^ [SX0: $i] :
~ ( SV171 @ SX0 ) ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( ~ ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[689:[bind(SV137,$thf( ^ [SV170: $i] : ~ ( SV171 @ SV170 ) ))]]) ).
thf(713,plain,
! [SV137: $i > $o,SV138: $i > $o] :
( ( ( ! [SV201: $i] :
( ( SV138 @ SV201 )
= ( SV137 @ SV201 ) ) )
= $true )
| ( ( SV138 @ ( sK4_X @ SV137 @ SV138 ) )
= $false )
| ( ( SV137 @ ( sK4_X @ SV137 @ SV138 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[689]) ).
thf(714,plain,
! [SV137: $i > $o,SV138: $i > $o] :
( ( ( SV138 = SV137 )
= $true )
| ( ( SV138 @ ( sK4_X @ SV137 @ SV138 ) )
= $false )
| ( ( SV137 @ ( sK4_X @ SV137 @ SV138 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[689]) ).
thf(715,plain,
! [SV137: $i > $o,SV202: $i,SV138: $i > $o] :
( ( ( ( SV138 @ SV202 )
= ( SV137 @ SV202 ) )
= $true )
| ( ( SV138 @ ( sK4_X @ SV137 @ SV138 ) )
= $false )
| ( ( SV137 @ ( sK4_X @ SV137 @ SV138 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(716,plain,
! [SV137: $i > $o,SV202: $i,SV138: $i > $o] :
( ( ( ~ ( ( SV138 @ SV202 )
| ( SV137 @ SV202 ) )
| ~ ( ~ ( SV138 @ SV202 )
| ~ ( SV137 @ SV202 ) ) )
= $true )
| ( ( SV138 @ ( sK4_X @ SV137 @ SV138 ) )
= $false )
| ( ( SV137 @ ( sK4_X @ SV137 @ SV138 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[715]) ).
thf(717,plain,
! [SV137: $i > $o,SV202: $i,SV138: $i > $o] :
( ( ( ( SV138 @ SV202 )
= ( SV137 @ SV202 ) )
= $true )
| ( ( SV138 @ ( sK4_X @ SV137 @ SV138 ) )
= $false )
| ( ( SV137 @ ( sK4_X @ SV137 @ SV138 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[715]) ).
thf(718,plain,
! [SV137: $i > $o,SV202: $i,SV138: $i > $o] :
( ( ( ~ ( ( SV138 @ SV202 )
| ( SV137 @ SV202 ) ) )
= $true )
| ( ( ~ ( ~ ( SV138 @ SV202 )
| ~ ( SV137 @ SV202 ) ) )
= $true )
| ( ( SV138 @ ( sK4_X @ SV137 @ SV138 ) )
= $false )
| ( ( SV137 @ ( sK4_X @ SV137 @ SV138 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[716]) ).
thf(719,plain,
! [SV137: $i > $o,SV202: $i,SV138: $i > $o] :
( ( ( ( SV138 @ SV202 )
| ( SV137 @ SV202 ) )
= $false )
| ( ( ~ ( ~ ( SV138 @ SV202 )
| ~ ( SV137 @ SV202 ) ) )
= $true )
| ( ( SV138 @ ( sK4_X @ SV137 @ SV138 ) )
= $false )
| ( ( SV137 @ ( sK4_X @ SV137 @ SV138 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(720,plain,
! [SV137: $i > $o,SV202: $i,SV138: $i > $o] :
( ( ( SV138 @ SV202 )
= $false )
| ( ( ~ ( ~ ( SV138 @ SV202 )
| ~ ( SV137 @ SV202 ) ) )
= $true )
| ( ( SV138 @ ( sK4_X @ SV137 @ SV138 ) )
= $false )
| ( ( SV137 @ ( sK4_X @ SV137 @ SV138 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(721,plain,
! [SV138: $i > $o,SV202: $i,SV137: $i > $o] :
( ( ( SV137 @ SV202 )
= $false )
| ( ( ~ ( ~ ( SV138 @ SV202 )
| ~ ( SV137 @ SV202 ) ) )
= $true )
| ( ( SV138 @ ( sK4_X @ SV137 @ SV138 ) )
= $false )
| ( ( SV137 @ ( sK4_X @ SV137 @ SV138 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(722,plain,
! [SV137: $i > $o,SV202: $i,SV138: $i > $o] :
( ( ( ~ ( SV138 @ SV202 )
| ~ ( SV137 @ SV202 ) )
= $false )
| ( ( SV138 @ SV202 )
= $false )
| ( ( SV138 @ ( sK4_X @ SV137 @ SV138 ) )
= $false )
| ( ( SV137 @ ( sK4_X @ SV137 @ SV138 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(723,plain,
! [SV137: $i > $o,SV202: $i,SV138: $i > $o] :
( ( ( ~ ( SV138 @ SV202 )
| ~ ( SV137 @ SV202 ) )
= $false )
| ( ( SV137 @ SV202 )
= $false )
| ( ( SV138 @ ( sK4_X @ SV137 @ SV138 ) )
= $false )
| ( ( SV137 @ ( sK4_X @ SV137 @ SV138 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(725,plain,
! [SV138: $i > $o,SV202: $i,SV137: $i > $o] :
( ( ( ~ ( SV137 @ SV202 ) )
= $false )
| ( ( SV138 @ SV202 )
= $false )
| ( ( SV138 @ ( sK4_X @ SV137 @ SV138 ) )
= $false )
| ( ( SV137 @ ( sK4_X @ SV137 @ SV138 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[722]) ).
thf(726,plain,
! [SV137: $i > $o,SV202: $i,SV138: $i > $o] :
( ( ( ~ ( SV138 @ SV202 ) )
= $false )
| ( ( SV137 @ SV202 )
= $false )
| ( ( SV138 @ ( sK4_X @ SV137 @ SV138 ) )
= $false )
| ( ( SV137 @ ( sK4_X @ SV137 @ SV138 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(729,plain,
! [SV138: $i > $o,SV202: $i,SV137: $i > $o] :
( ( ( SV137 @ SV202 )
= $true )
| ( ( SV138 @ SV202 )
= $false )
| ( ( SV138 @ ( sK4_X @ SV137 @ SV138 ) )
= $false )
| ( ( SV137 @ ( sK4_X @ SV137 @ SV138 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[725]) ).
thf(730,plain,
! [SV137: $i > $o,SV202: $i,SV138: $i > $o] :
( ( ( SV138 @ SV202 )
= $true )
| ( ( SV137 @ SV202 )
= $false )
| ( ( SV138 @ ( sK4_X @ SV137 @ SV138 ) )
= $false )
| ( ( SV137 @ ( sK4_X @ SV137 @ SV138 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[726]) ).
thf(732,plain,
! [SV137: $i > $o] :
( ( ( ! [SV225: $i] :
( $true
= ( SV137 @ SV225 ) ) )
= $true )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[704]) ).
thf(733,plain,
! [SV137: $i > $o] :
( ( ( ( ^ [SX0: $i] : $true )
= SV137 )
= $true )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[704]) ).
thf(734,plain,
! [SV137: $i > $o,SV140: $i > $o] :
( ( ( ! [SV226: $i] :
( ( ~ ( SV140 @ SV226 ) )
= ( SV137 @ SV226 ) ) )
= $true )
| ( ( ~ ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) ) )
= $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[706]) ).
thf(735,plain,
! [SV137: $i > $o,SV140: $i > $o] :
( ( ( ( ^ [SX0: $i] :
~ ( SV140 @ SX0 ) )
= SV137 )
= $true )
| ( ( ~ ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) ) )
= $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[706]) ).
thf(736,plain,
! [SV138: $i > $o] :
( ( ( ! [SV227: $i] :
( ( SV138 @ SV227 )
= $true ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV138 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[709]) ).
thf(737,plain,
! [SV138: $i > $o] :
( ( ( SV138
= ( ^ [SX0: $i] : $true ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV138 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[709]) ).
thf(738,plain,
! [SV171: $i > $o,SV138: $i > $o] :
( ( ( ! [SV228: $i] :
( ( SV138 @ SV228 )
= ( ~ ( SV171 @ SV228 ) ) ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( ~ ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[711]) ).
thf(739,plain,
! [SV171: $i > $o,SV138: $i > $o] :
( ( ( SV138
= ( ^ [SX0: $i] :
~ ( SV171 @ SX0 ) ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( ~ ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[711]) ).
thf(740,plain,
! [SV229: $i,SV137: $i > $o] :
( ( ( $true
= ( SV137 @ SV229 ) )
= $true )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(741,plain,
! [SV137: $i > $o,SV230: $i,SV140: $i > $o] :
( ( ( ( ~ ( SV140 @ SV230 ) )
= ( SV137 @ SV230 ) )
= $true )
| ( ( ~ ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) ) )
= $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(742,plain,
! [SV137: $i > $o,SV140: $i > $o] :
( ( ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] :
~ ( SV140 @ SX0 ) )
= SV137 )
= $true )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[735]) ).
thf(743,plain,
! [SV231: $i,SV138: $i > $o] :
( ( ( ( SV138 @ SV231 )
= $true )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV138 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(744,plain,
! [SV171: $i > $o,SV232: $i,SV138: $i > $o] :
( ( ( ( SV138 @ SV232 )
= ( ~ ( SV171 @ SV232 ) ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( ~ ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(745,plain,
! [SV138: $i > $o,SV171: $i > $o] :
( ( ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( SV138
= ( ^ [SX0: $i] :
~ ( SV171 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[739]) ).
thf(746,plain,
! [SV229: $i,SV137: $i > $o] :
( ( ( ~ ( $true
| ( SV137 @ SV229 ) )
| ~ ( ~ $true
| ~ ( SV137 @ SV229 ) ) )
= $true )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[740]) ).
thf(747,plain,
! [SV229: $i,SV137: $i > $o] :
( ( ( $true
= ( SV137 @ SV229 ) )
= $true )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[740]) ).
thf(748,plain,
! [SV137: $i > $o,SV230: $i,SV140: $i > $o] :
( ( ( ~ ( ~ ( SV140 @ SV230 )
| ( SV137 @ SV230 ) )
| ~ ( ~ ~ ( SV140 @ SV230 )
| ~ ( SV137 @ SV230 ) ) )
= $true )
| ( ( ~ ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) ) )
= $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[741]) ).
thf(749,plain,
! [SV137: $i > $o,SV230: $i,SV140: $i > $o] :
( ( ( ( ~ ( SV140 @ SV230 ) )
= ( SV137 @ SV230 ) )
= $true )
| ( ( ~ ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) ) )
= $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[741]) ).
thf(750,plain,
! [SV231: $i,SV138: $i > $o] :
( ( ( ~ ( ( SV138 @ SV231 )
| $true )
| ~ ( ~ ( SV138 @ SV231 )
| ~ $true ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV138 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[743]) ).
thf(751,plain,
! [SV231: $i,SV138: $i > $o] :
( ( ( ( SV138 @ SV231 )
= $true )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV138 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[743]) ).
thf(752,plain,
! [SV171: $i > $o,SV232: $i,SV138: $i > $o] :
( ( ( ~ ( ( SV138 @ SV232 )
| ~ ( SV171 @ SV232 ) )
| ~ ( ~ ( SV138 @ SV232 )
| ~ ~ ( SV171 @ SV232 ) ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( ~ ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[744]) ).
thf(753,plain,
! [SV171: $i > $o,SV232: $i,SV138: $i > $o] :
( ( ( ( SV138 @ SV232 )
= ( ~ ( SV171 @ SV232 ) ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( ~ ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[744]) ).
thf(754,plain,
! [SV229: $i,SV137: $i > $o] :
( ( ( ~ ( $true
| ( SV137 @ SV229 ) ) )
= $true )
| ( ( ~ ( ~ $true
| ~ ( SV137 @ SV229 ) ) )
= $true )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(755,plain,
! [SV137: $i > $o,SV230: $i,SV140: $i > $o] :
( ( ( ~ ( ~ ( SV140 @ SV230 )
| ( SV137 @ SV230 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( SV140 @ SV230 )
| ~ ( SV137 @ SV230 ) ) )
= $true )
| ( ( ~ ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) ) )
= $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(756,plain,
! [SV230: $i,SV137: $i > $o,SV140: $i > $o] :
( ( ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $true )
| ( ( ( ~ ( SV140 @ SV230 ) )
= ( SV137 @ SV230 ) )
= $true )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[749]) ).
thf(757,plain,
! [SV231: $i,SV138: $i > $o] :
( ( ( ~ ( ( SV138 @ SV231 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV138 @ SV231 )
| ~ $true ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV138 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[750]) ).
thf(758,plain,
! [SV171: $i > $o,SV232: $i,SV138: $i > $o] :
( ( ( ~ ( ( SV138 @ SV232 )
| ~ ( SV171 @ SV232 ) ) )
= $true )
| ( ( ~ ( ~ ( SV138 @ SV232 )
| ~ ~ ( SV171 @ SV232 ) ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( ~ ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[752]) ).
thf(759,plain,
! [SV232: $i,SV138: $i > $o,SV171: $i > $o] :
( ( ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( ( SV138 @ SV232 )
= ( ~ ( SV171 @ SV232 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[753]) ).
thf(760,plain,
! [SV229: $i,SV137: $i > $o] :
( ( ( $true
| ( SV137 @ SV229 ) )
= $false )
| ( ( ~ ( ~ $true
| ~ ( SV137 @ SV229 ) ) )
= $true )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(761,plain,
! [SV137: $i > $o,SV230: $i,SV140: $i > $o] :
( ( ( ~ ( SV140 @ SV230 )
| ( SV137 @ SV230 ) )
= $false )
| ( ( ~ ( ~ ~ ( SV140 @ SV230 )
| ~ ( SV137 @ SV230 ) ) )
= $true )
| ( ( ~ ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) ) )
= $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(762,plain,
! [SV231: $i,SV138: $i > $o] :
( ( ( ( SV138 @ SV231 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV138 @ SV231 )
| ~ $true ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV138 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(763,plain,
! [SV171: $i > $o,SV232: $i,SV138: $i > $o] :
( ( ( ( SV138 @ SV232 )
| ~ ( SV171 @ SV232 ) )
= $false )
| ( ( ~ ( ~ ( SV138 @ SV232 )
| ~ ~ ( SV171 @ SV232 ) ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( ~ ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(764,plain,
! [SV229: $i,SV137: $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ ( SV137 @ SV229 ) ) )
= $true )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[760]) ).
thf(766,plain,
! [SV137: $i > $o,SV230: $i,SV140: $i > $o] :
( ( ( ~ ( SV140 @ SV230 ) )
= $false )
| ( ( ~ ( ~ ~ ( SV140 @ SV230 )
| ~ ( SV137 @ SV230 ) ) )
= $true )
| ( ( ~ ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) ) )
= $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[761]) ).
thf(767,plain,
! [SV140: $i > $o,SV230: $i,SV137: $i > $o] :
( ( ( SV137 @ SV230 )
= $false )
| ( ( ~ ( ~ ~ ( SV140 @ SV230 )
| ~ ( SV137 @ SV230 ) ) )
= $true )
| ( ( ~ ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) ) )
= $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[761]) ).
thf(769,plain,
! [SV231: $i,SV138: $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV138 @ SV231 )
| ~ $true ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV138 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(770,plain,
! [SV171: $i > $o,SV232: $i,SV138: $i > $o] :
( ( ( SV138 @ SV232 )
= $false )
| ( ( ~ ( ~ ( SV138 @ SV232 )
| ~ ~ ( SV171 @ SV232 ) ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( ~ ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[763]) ).
thf(771,plain,
! [SV138: $i > $o,SV232: $i,SV171: $i > $o] :
( ( ( ~ ( SV171 @ SV232 ) )
= $false )
| ( ( ~ ( ~ ( SV138 @ SV232 )
| ~ ~ ( SV171 @ SV232 ) ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( ~ ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[763]) ).
thf(772,plain,
! [SV229: $i,SV137: $i > $o] :
( ( ( ~ $true
| ~ ( SV137 @ SV229 ) )
= $false )
| ( $true = $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(774,plain,
! [SV137: $i > $o,SV230: $i,SV140: $i > $o] :
( ( ( SV140 @ SV230 )
= $true )
| ( ( ~ ( ~ ~ ( SV140 @ SV230 )
| ~ ( SV137 @ SV230 ) ) )
= $true )
| ( ( ~ ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) ) )
= $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[766]) ).
thf(775,plain,
! [SV137: $i > $o,SV230: $i,SV140: $i > $o] :
( ( ( ~ ~ ( SV140 @ SV230 )
| ~ ( SV137 @ SV230 ) )
= $false )
| ( ( SV137 @ SV230 )
= $false )
| ( ( ~ ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) ) )
= $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(777,plain,
! [SV231: $i,SV138: $i > $o] :
( ( ( ~ ( SV138 @ SV231 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV138 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(778,plain,
! [SV171: $i > $o,SV232: $i,SV138: $i > $o] :
( ( ( ~ ( SV138 @ SV232 )
| ~ ~ ( SV171 @ SV232 ) )
= $false )
| ( ( SV138 @ SV232 )
= $false )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( ~ ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(779,plain,
! [SV138: $i > $o,SV232: $i,SV171: $i > $o] :
( ( ( SV171 @ SV232 )
= $true )
| ( ( ~ ( ~ ( SV138 @ SV232 )
| ~ ~ ( SV171 @ SV232 ) ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( ~ ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(781,plain,
! [SV229: $i,SV137: $i > $o] :
( ( ( ~ ( SV137 @ SV229 ) )
= $false )
| ( $true = $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(784,plain,
! [SV137: $i > $o,SV230: $i,SV140: $i > $o] :
( ( ( ~ ~ ( SV140 @ SV230 )
| ~ ( SV137 @ SV230 ) )
= $false )
| ( ( SV140 @ SV230 )
= $true )
| ( ( ~ ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) ) )
= $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(785,plain,
! [SV137: $i > $o,SV230: $i,SV140: $i > $o] :
( ( ( ~ ~ ( SV140 @ SV230 ) )
= $false )
| ( ( SV137 @ SV230 )
= $false )
| ( ( ~ ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) ) )
= $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[775]) ).
thf(789,plain,
! [SV231: $i,SV138: $i > $o] :
( ( ( ~ ( SV138 @ SV231 ) )
= $false )
| ( $true = $false )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV138 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[777]) ).
thf(792,plain,
! [SV138: $i > $o,SV232: $i,SV171: $i > $o] :
( ( ( ~ ~ ( SV171 @ SV232 ) )
= $false )
| ( ( SV138 @ SV232 )
= $false )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( ~ ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(793,plain,
! [SV171: $i > $o,SV232: $i,SV138: $i > $o] :
( ( ( ~ ( SV138 @ SV232 )
| ~ ~ ( SV171 @ SV232 ) )
= $false )
| ( ( SV171 @ SV232 )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( ~ ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(795,plain,
! [SV229: $i,SV137: $i > $o] :
( ( ( SV137 @ SV229 )
= $true )
| ( $true = $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[781]) ).
thf(799,plain,
! [SV140: $i > $o,SV230: $i,SV137: $i > $o] :
( ( ( ~ ( SV137 @ SV230 ) )
= $false )
| ( ( SV140 @ SV230 )
= $true )
| ( ( ~ ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) ) )
= $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(800,plain,
! [SV137: $i > $o,SV230: $i,SV140: $i > $o] :
( ( ( ~ ( SV140 @ SV230 ) )
= $true )
| ( ( SV137 @ SV230 )
= $false )
| ( ( ~ ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) ) )
= $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(804,plain,
! [SV231: $i,SV138: $i > $o] :
( ( ( SV138 @ SV231 )
= $true )
| ( $true = $false )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV138 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[789]) ).
thf(807,plain,
! [SV138: $i > $o,SV232: $i,SV171: $i > $o] :
( ( ( ~ ( SV171 @ SV232 ) )
= $true )
| ( ( SV138 @ SV232 )
= $false )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( ~ ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[792]) ).
thf(808,plain,
! [SV171: $i > $o,SV232: $i,SV138: $i > $o] :
( ( ( ~ ( SV138 @ SV232 ) )
= $false )
| ( ( SV171 @ SV232 )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( ~ ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[793]) ).
thf(811,plain,
! [SV140: $i > $o,SV230: $i,SV137: $i > $o] :
( ( ( SV137 @ SV230 )
= $true )
| ( ( SV140 @ SV230 )
= $true )
| ( ( ~ ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) ) )
= $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[799]) ).
thf(812,plain,
! [SV137: $i > $o,SV230: $i,SV140: $i > $o] :
( ( ( SV140 @ SV230 )
= $false )
| ( ( SV137 @ SV230 )
= $false )
| ( ( ~ ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) ) )
= $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(815,plain,
! [SV138: $i > $o,SV232: $i,SV171: $i > $o] :
( ( ( SV171 @ SV232 )
= $false )
| ( ( SV138 @ SV232 )
= $false )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( ~ ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[807]) ).
thf(816,plain,
! [SV171: $i > $o,SV232: $i,SV138: $i > $o] :
( ( ( SV138 @ SV232 )
= $true )
| ( ( SV171 @ SV232 )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( ~ ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[808]) ).
thf(819,plain,
! [SV230: $i,SV137: $i > $o,SV140: $i > $o] :
( ( ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $true )
| ( ( SV140 @ SV230 )
= $true )
| ( ( SV137 @ SV230 )
= $true )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[811]) ).
thf(820,plain,
! [SV230: $i,SV137: $i > $o,SV140: $i > $o] :
( ( ( SV140
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $true )
| ( ( SV137 @ SV230 )
= $false )
| ( ( SV140 @ SV230 )
= $false )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] :
~ ( SV140 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[812]) ).
thf(821,plain,
! [SV232: $i,SV138: $i > $o,SV171: $i > $o] :
( ( ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( SV138 @ SV232 )
= $false )
| ( ( SV171 @ SV232 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[815]) ).
thf(822,plain,
! [SV232: $i,SV138: $i > $o,SV171: $i > $o] :
( ( ( SV171
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 )
@ SV138 ) )
= $false )
| ( ( SV171 @ SV232 )
= $true )
| ( ( SV138 @ SV232 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[816]) ).
thf(826,plain,
! [SV229: $i,SV137: $i > $o] :
( ( ( SV137 @ SV229 )
= $true )
| ( ( SV137
@ ( sK4_X @ SV137
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(sim,[status(thm)],[795]) ).
thf(827,plain,
! [SV231: $i,SV138: $i > $o] :
( ( ( SV138 @ SV231 )
= $true )
| ( ( SV138
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV138 ) )
= $false ) ),
inference(sim,[status(thm)],[804]) ).
thf(828,plain,
! [SV233: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( ( SV235 @ SV234 )
= ( SV233 @ SV234 ) )
= $true )
| ( ( SV233 @ ( sK4_X @ SV233 @ SV235 ) )
= $true )
| ( ( SV235 @ ( sK4_X @ SV233 @ SV235 ) )
= $true ) ),
inference(rename,[status(thm)],[36]) ).
thf(839,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( ( SV235 @ SV234 )
= $false )
= $true )
| ( $false = $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV235 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[828:[bind(SV233,$thf( ^ [SV238: $i] : $false ))]]) ).
thf(840,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( ( SV235 @ SV234 )
= $false )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV235 ) )
= $true ) ),
inference(sim,[status(thm)],[839]) ).
thf(841,plain,
! [SV237: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( ( SV235 @ SV234 )
= ( ~ ( SV237 @ SV234 ) ) )
= $true )
| ( ( ~ ( SV237
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[828:[bind(SV233,$thf( ^ [SV236: $i] : ~ ( SV237 @ SV236 ) ))]]) ).
thf(842,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( ( SV235 @ SV234 )
= ( SV234 = sK5_E ) )
= $true )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 )
= sK5_E )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[828:[bind(SV233,$thf( ^ [SV240: $i] : ( SV240 = sK5_E ) ))]]) ).
thf(844,plain,
! [SV234: $i,SV233: $i > $o] :
( ( ( $false
= ( SV233 @ SV234 ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[828:[bind(SV235,$thf( ^ [SV269: $i] : $false ))]]) ).
thf(845,plain,
! [SV234: $i,SV233: $i > $o] :
( ( ( $false
= ( SV233 @ SV234 ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[844]) ).
thf(846,plain,
! [SV233: $i > $o,SV234: $i,SV268: $i > $o] :
( ( ( ( ~ ( SV268 @ SV234 ) )
= ( SV233 @ SV234 ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV268
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[828:[bind(SV235,$thf( ^ [SV267: $i] : ~ ( SV268 @ SV267 ) ))]]) ).
thf(847,plain,
! [SV233: $i > $o,SV234: $i] :
( ( ( ( SV234 = sK5_E )
= ( SV233 @ SV234 ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(prim_subst,[status(thm)],[828:[bind(SV235,$thf( ^ [SV271: $i] : ( SV271 = sK5_E ) ))]]) ).
thf(848,plain,
! [SV233: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( SV235 @ ( sK4_X @ SV233 @ SV235 ) )
= $true )
| ( ( SV233 @ ( sK4_X @ SV233 @ SV235 ) )
= $true )
| ( ( SV235 @ SV234 )
= $true )
| ( ( SV233 @ SV234 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[828]) ).
thf(849,plain,
! [SV233: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( SV235 @ ( sK4_X @ SV233 @ SV235 ) )
= $true )
| ( ( SV233 @ ( sK4_X @ SV233 @ SV235 ) )
= $true )
| ( ( SV235 @ SV234 )
= $false )
| ( ( SV233 @ SV234 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[828]) ).
thf(850,plain,
! [SV233: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( ~ ( ( SV235 @ SV234 )
| ( SV233 @ SV234 ) )
| ~ ( ~ ( SV235 @ SV234 )
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233 @ ( sK4_X @ SV233 @ SV235 ) )
= $true )
| ( ( SV235 @ ( sK4_X @ SV233 @ SV235 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[828]) ).
thf(851,plain,
! [SV233: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( ( SV235 @ SV234 )
= ( SV233 @ SV234 ) )
= $true )
| ( ( SV233 @ ( sK4_X @ SV233 @ SV235 ) )
= $true )
| ( ( SV235 @ ( sK4_X @ SV233 @ SV235 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[828]) ).
thf(852,plain,
! [SV233: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( ~ ( ( SV235 @ SV234 )
| ( SV233 @ SV234 ) ) )
= $true )
| ( ( ~ ( ~ ( SV235 @ SV234 )
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233 @ ( sK4_X @ SV233 @ SV235 ) )
= $true )
| ( ( SV235 @ ( sK4_X @ SV233 @ SV235 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[850]) ).
thf(853,plain,
! [SV233: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( ( SV235 @ SV234 )
| ( SV233 @ SV234 ) )
= $false )
| ( ( ~ ( ~ ( SV235 @ SV234 )
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233 @ ( sK4_X @ SV233 @ SV235 ) )
= $true )
| ( ( SV235 @ ( sK4_X @ SV233 @ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(854,plain,
! [SV233: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( SV235 @ SV234 )
= $false )
| ( ( ~ ( ~ ( SV235 @ SV234 )
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233 @ ( sK4_X @ SV233 @ SV235 ) )
= $true )
| ( ( SV235 @ ( sK4_X @ SV233 @ SV235 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[853]) ).
thf(855,plain,
! [SV235: $i > $o,SV234: $i,SV233: $i > $o] :
( ( ( SV233 @ SV234 )
= $false )
| ( ( ~ ( ~ ( SV235 @ SV234 )
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233 @ ( sK4_X @ SV233 @ SV235 ) )
= $true )
| ( ( SV235 @ ( sK4_X @ SV233 @ SV235 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[853]) ).
thf(856,plain,
! [SV233: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( ~ ( SV235 @ SV234 )
| ~ ( SV233 @ SV234 ) )
= $false )
| ( ( SV235 @ SV234 )
= $false )
| ( ( SV233 @ ( sK4_X @ SV233 @ SV235 ) )
= $true )
| ( ( SV235 @ ( sK4_X @ SV233 @ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[854]) ).
thf(857,plain,
! [SV233: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( ~ ( SV235 @ SV234 )
| ~ ( SV233 @ SV234 ) )
= $false )
| ( ( SV233 @ SV234 )
= $false )
| ( ( SV233 @ ( sK4_X @ SV233 @ SV235 ) )
= $true )
| ( ( SV235 @ ( sK4_X @ SV233 @ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(859,plain,
! [SV235: $i > $o,SV234: $i,SV233: $i > $o] :
( ( ( ~ ( SV233 @ SV234 ) )
= $false )
| ( ( SV235 @ SV234 )
= $false )
| ( ( SV233 @ ( sK4_X @ SV233 @ SV235 ) )
= $true )
| ( ( SV235 @ ( sK4_X @ SV233 @ SV235 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[856]) ).
thf(860,plain,
! [SV233: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( ~ ( SV235 @ SV234 ) )
= $false )
| ( ( SV233 @ SV234 )
= $false )
| ( ( SV233 @ ( sK4_X @ SV233 @ SV235 ) )
= $true )
| ( ( SV235 @ ( sK4_X @ SV233 @ SV235 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[857]) ).
thf(863,plain,
! [SV235: $i > $o,SV234: $i,SV233: $i > $o] :
( ( ( SV233 @ SV234 )
= $true )
| ( ( SV235 @ SV234 )
= $false )
| ( ( SV233 @ ( sK4_X @ SV233 @ SV235 ) )
= $true )
| ( ( SV235 @ ( sK4_X @ SV233 @ SV235 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[859]) ).
thf(864,plain,
! [SV233: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( SV235 @ SV234 )
= $true )
| ( ( SV233 @ SV234 )
= $false )
| ( ( SV233 @ ( sK4_X @ SV233 @ SV235 ) )
= $true )
| ( ( SV235 @ ( sK4_X @ SV233 @ SV235 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(866,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( ~ ( ( SV235 @ SV234 )
| $false )
| ~ ( ~ ( SV235 @ SV234 )
| ~ $false ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV235 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[840]) ).
thf(867,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( ( SV235 @ SV234 )
= $false )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV235 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[840]) ).
thf(868,plain,
! [SV237: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( ~ ( ( SV235 @ SV234 )
| ~ ( SV237 @ SV234 ) )
| ~ ( ~ ( SV235 @ SV234 )
| ~ ~ ( SV237 @ SV234 ) ) )
= $true )
| ( ( ~ ( SV237
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[841]) ).
thf(869,plain,
! [SV237: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( ( SV235 @ SV234 )
= ( ~ ( SV237 @ SV234 ) ) )
= $true )
| ( ( ~ ( SV237
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[841]) ).
thf(870,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( ~ ( ( SV235 @ SV234 )
| ( SV234 = sK5_E ) )
| ~ ( ~ ( SV235 @ SV234 )
| ( SV234 != sK5_E ) ) )
= $true )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 )
= sK5_E )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[842]) ).
thf(871,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( ( SV235 @ SV234 )
= ( SV234 = sK5_E ) )
= $true )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 )
= sK5_E )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[842]) ).
thf(872,plain,
! [SV234: $i,SV233: $i > $o] :
( ( ( ~ ( $false
| ( SV233 @ SV234 ) )
| ~ ( ~ $false
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[845]) ).
thf(873,plain,
! [SV234: $i,SV233: $i > $o] :
( ( ( $false
= ( SV233 @ SV234 ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[845]) ).
thf(874,plain,
! [SV233: $i > $o,SV234: $i,SV268: $i > $o] :
( ( ( ~ ( ~ ( SV268 @ SV234 )
| ( SV233 @ SV234 ) )
| ~ ( ~ ~ ( SV268 @ SV234 )
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV268
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[846]) ).
thf(875,plain,
! [SV233: $i > $o,SV234: $i,SV268: $i > $o] :
( ( ( ( ~ ( SV268 @ SV234 ) )
= ( SV233 @ SV234 ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV268
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[846]) ).
thf(876,plain,
! [SV233: $i > $o,SV234: $i] :
( ( ( ~ ( ( SV234 = sK5_E )
| ( SV233 @ SV234 ) )
| ~ ( ( SV234 != sK5_E )
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[847]) ).
thf(877,plain,
! [SV233: $i > $o,SV234: $i] :
( ( ( ( SV234 = sK5_E )
= ( SV233 @ SV234 ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[847]) ).
thf(878,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( ~ ( ( SV235 @ SV234 )
| $false ) )
= $true )
| ( ( ~ ( ~ ( SV235 @ SV234 )
| ~ $false ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV235 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(879,plain,
! [SV237: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( ~ ( ( SV235 @ SV234 )
| ~ ( SV237 @ SV234 ) ) )
= $true )
| ( ( ~ ( ~ ( SV235 @ SV234 )
| ~ ~ ( SV237 @ SV234 ) ) )
= $true )
| ( ( ~ ( SV237
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[868]) ).
thf(880,plain,
! [SV234: $i,SV235: $i > $o,SV237: $i > $o] :
( ( ( SV237
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $false )
| ( ( ( SV235 @ SV234 )
= ( ~ ( SV237 @ SV234 ) ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(881,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( ~ ( ( SV235 @ SV234 )
| ( SV234 = sK5_E ) ) )
= $true )
| ( ( ~ ( ~ ( SV235 @ SV234 )
| ( SV234 != sK5_E ) ) )
= $true )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 )
= sK5_E )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[870]) ).
thf(882,plain,
! [SV234: $i,SV233: $i > $o] :
( ( ( ~ ( $false
| ( SV233 @ SV234 ) ) )
= $true )
| ( ( ~ ( ~ $false
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[872]) ).
thf(883,plain,
! [SV233: $i > $o,SV234: $i,SV268: $i > $o] :
( ( ( ~ ( ~ ( SV268 @ SV234 )
| ( SV233 @ SV234 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( SV268 @ SV234 )
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV268
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[874]) ).
thf(884,plain,
! [SV234: $i,SV233: $i > $o,SV268: $i > $o] :
( ( ( SV268
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $false )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $true )
| ( ( ( ~ ( SV268 @ SV234 ) )
= ( SV233 @ SV234 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[875]) ).
thf(885,plain,
! [SV233: $i > $o,SV234: $i] :
( ( ( ~ ( ( SV234 = sK5_E )
| ( SV233 @ SV234 ) ) )
= $true )
| ( ( ~ ( ( SV234 != sK5_E )
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[876]) ).
thf(886,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( ( SV235 @ SV234 )
| $false )
= $false )
| ( ( ~ ( ~ ( SV235 @ SV234 )
| ~ $false ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(887,plain,
! [SV237: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( ( SV235 @ SV234 )
| ~ ( SV237 @ SV234 ) )
= $false )
| ( ( ~ ( ~ ( SV235 @ SV234 )
| ~ ~ ( SV237 @ SV234 ) ) )
= $true )
| ( ( ~ ( SV237
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(888,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( ( SV235 @ SV234 )
| ( SV234 = sK5_E ) )
= $false )
| ( ( ~ ( ~ ( SV235 @ SV234 )
| ( SV234 != sK5_E ) ) )
= $true )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 )
= sK5_E )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[881]) ).
thf(889,plain,
! [SV234: $i,SV233: $i > $o] :
( ( ( $false
| ( SV233 @ SV234 ) )
= $false )
| ( ( ~ ( ~ $false
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(890,plain,
! [SV233: $i > $o,SV234: $i,SV268: $i > $o] :
( ( ( ~ ( SV268 @ SV234 )
| ( SV233 @ SV234 ) )
= $false )
| ( ( ~ ( ~ ~ ( SV268 @ SV234 )
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV268
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(891,plain,
! [SV233: $i > $o,SV234: $i] :
( ( ( ( SV234 = sK5_E )
| ( SV233 @ SV234 ) )
= $false )
| ( ( ~ ( ( SV234 != sK5_E )
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(892,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( SV235 @ SV234 )
= $false )
| ( ( ~ ( ~ ( SV235 @ SV234 )
| ~ $false ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV235 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[886]) ).
thf(894,plain,
! [SV237: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( SV235 @ SV234 )
= $false )
| ( ( ~ ( ~ ( SV235 @ SV234 )
| ~ ~ ( SV237 @ SV234 ) ) )
= $true )
| ( ( ~ ( SV237
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[887]) ).
thf(895,plain,
! [SV235: $i > $o,SV234: $i,SV237: $i > $o] :
( ( ( ~ ( SV237 @ SV234 ) )
= $false )
| ( ( ~ ( ~ ( SV235 @ SV234 )
| ~ ~ ( SV237 @ SV234 ) ) )
= $true )
| ( ( ~ ( SV237
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[887]) ).
thf(896,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( SV235 @ SV234 )
= $false )
| ( ( ~ ( ~ ( SV235 @ SV234 )
| ( SV234 != sK5_E ) ) )
= $true )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 )
= sK5_E )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[888]) ).
thf(897,plain,
! [SV235: $i > $o,SV234: $i] :
( ( ( SV234 = sK5_E )
= $false )
| ( ( ~ ( ~ ( SV235 @ SV234 )
| ( SV234 != sK5_E ) ) )
= $true )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 )
= sK5_E )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[888]) ).
thf(899,plain,
! [SV234: $i,SV233: $i > $o] :
( ( ( SV233 @ SV234 )
= $false )
| ( ( ~ ( ~ $false
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[889]) ).
thf(900,plain,
! [SV233: $i > $o,SV234: $i,SV268: $i > $o] :
( ( ( ~ ( SV268 @ SV234 ) )
= $false )
| ( ( ~ ( ~ ~ ( SV268 @ SV234 )
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV268
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[890]) ).
thf(901,plain,
! [SV268: $i > $o,SV234: $i,SV233: $i > $o] :
( ( ( SV233 @ SV234 )
= $false )
| ( ( ~ ( ~ ~ ( SV268 @ SV234 )
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV268
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[890]) ).
thf(902,plain,
! [SV233: $i > $o,SV234: $i] :
( ( ( SV234 = sK5_E )
= $false )
| ( ( ~ ( ( SV234 != sK5_E )
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(903,plain,
! [SV234: $i,SV233: $i > $o] :
( ( ( SV233 @ SV234 )
= $false )
| ( ( ~ ( ( SV234 != sK5_E )
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(904,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( ~ ( SV235 @ SV234 )
| ~ $false )
= $false )
| ( ( SV235 @ SV234 )
= $false )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[892]) ).
thf(906,plain,
! [SV237: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( ~ ( SV235 @ SV234 )
| ~ ~ ( SV237 @ SV234 ) )
= $false )
| ( ( SV235 @ SV234 )
= $false )
| ( ( ~ ( SV237
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[894]) ).
thf(907,plain,
! [SV235: $i > $o,SV234: $i,SV237: $i > $o] :
( ( ( SV237 @ SV234 )
= $true )
| ( ( ~ ( ~ ( SV235 @ SV234 )
| ~ ~ ( SV237 @ SV234 ) ) )
= $true )
| ( ( ~ ( SV237
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[895]) ).
thf(908,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( ~ ( SV235 @ SV234 )
| ( SV234 != sK5_E ) )
= $false )
| ( ( SV235 @ SV234 )
= $false )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 )
= sK5_E )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(909,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( ~ ( SV235 @ SV234 )
| ( SV234 != sK5_E ) )
= $false )
| ( ( SV234 = sK5_E )
= $false )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 )
= sK5_E )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(911,plain,
! [SV234: $i,SV233: $i > $o] :
( ( ( ~ $false
| ~ ( SV233 @ SV234 ) )
= $false )
| ( ( SV233 @ SV234 )
= $false )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[899]) ).
thf(912,plain,
! [SV233: $i > $o,SV234: $i,SV268: $i > $o] :
( ( ( SV268 @ SV234 )
= $true )
| ( ( ~ ( ~ ~ ( SV268 @ SV234 )
| ~ ( SV233 @ SV234 ) ) )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV268
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[900]) ).
thf(913,plain,
! [SV233: $i > $o,SV234: $i,SV268: $i > $o] :
( ( ( ~ ~ ( SV268 @ SV234 )
| ~ ( SV233 @ SV234 ) )
= $false )
| ( ( SV233 @ SV234 )
= $false )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV268
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(914,plain,
! [SV233: $i > $o,SV234: $i] :
( ( ( ( SV234 != sK5_E )
| ~ ( SV233 @ SV234 ) )
= $false )
| ( ( SV234 = sK5_E )
= $false )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(915,plain,
! [SV233: $i > $o,SV234: $i] :
( ( ( ( SV234 != sK5_E )
| ~ ( SV233 @ SV234 ) )
= $false )
| ( ( SV233 @ SV234 )
= $false )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(917,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( ~ $false )
= $false )
| ( ( SV235 @ SV234 )
= $false )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV235 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(921,plain,
! [SV235: $i > $o,SV234: $i,SV237: $i > $o] :
( ( ( ~ ~ ( SV237 @ SV234 ) )
= $false )
| ( ( SV235 @ SV234 )
= $false )
| ( ( ~ ( SV237
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[906]) ).
thf(922,plain,
! [SV237: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( ~ ( SV235 @ SV234 )
| ~ ~ ( SV237 @ SV234 ) )
= $false )
| ( ( SV237 @ SV234 )
= $true )
| ( ( ~ ( SV237
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(924,plain,
! [SV235: $i > $o,SV234: $i] :
( ( ( ( SV234 != sK5_E ) )
= $false )
| ( ( SV235 @ SV234 )
= $false )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 )
= sK5_E )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[908]) ).
thf(925,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( ~ ( SV235 @ SV234 ) )
= $false )
| ( ( SV234 = sK5_E )
= $false )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 )
= sK5_E )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[909]) ).
thf(929,plain,
! [SV234: $i,SV233: $i > $o] :
( ( ( ~ $false )
= $false )
| ( ( SV233 @ SV234 )
= $false )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[911]) ).
thf(931,plain,
! [SV233: $i > $o,SV234: $i,SV268: $i > $o] :
( ( ( ~ ~ ( SV268 @ SV234 )
| ~ ( SV233 @ SV234 ) )
= $false )
| ( ( SV268 @ SV234 )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV268
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(932,plain,
! [SV233: $i > $o,SV234: $i,SV268: $i > $o] :
( ( ( ~ ~ ( SV268 @ SV234 ) )
= $false )
| ( ( SV233 @ SV234 )
= $false )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV268
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(935,plain,
! [SV234: $i,SV233: $i > $o] :
( ( ( ~ ( SV233 @ SV234 ) )
= $false )
| ( ( SV234 = sK5_E )
= $false )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[914]) ).
thf(936,plain,
! [SV233: $i > $o,SV234: $i] :
( ( ( ( SV234 != sK5_E ) )
= $false )
| ( ( SV233 @ SV234 )
= $false )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[915]) ).
thf(939,plain,
! [SV234: $i,SV235: $i > $o] :
( ( $false = $true )
| ( ( SV235 @ SV234 )
= $false )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV235 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[917]) ).
thf(943,plain,
! [SV235: $i > $o,SV234: $i,SV237: $i > $o] :
( ( ( ~ ( SV237 @ SV234 ) )
= $true )
| ( ( SV235 @ SV234 )
= $false )
| ( ( ~ ( SV237
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[921]) ).
thf(944,plain,
! [SV237: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( ~ ( SV235 @ SV234 ) )
= $false )
| ( ( SV237 @ SV234 )
= $true )
| ( ( ~ ( SV237
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[922]) ).
thf(947,plain,
! [SV235: $i > $o,SV234: $i] :
( ( ( SV234 = sK5_E )
= $true )
| ( ( SV235 @ SV234 )
= $false )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 )
= sK5_E )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[924]) ).
thf(948,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( SV235 @ SV234 )
= $true )
| ( ( SV234 = sK5_E )
= $false )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 )
= sK5_E )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV235 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[925]) ).
thf(952,plain,
! [SV234: $i,SV233: $i > $o] :
( ( $false = $true )
| ( ( SV233 @ SV234 )
= $false )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[929]) ).
thf(955,plain,
! [SV268: $i > $o,SV234: $i,SV233: $i > $o] :
( ( ( ~ ( SV233 @ SV234 ) )
= $false )
| ( ( SV268 @ SV234 )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV268
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[931]) ).
thf(956,plain,
! [SV233: $i > $o,SV234: $i,SV268: $i > $o] :
( ( ( ~ ( SV268 @ SV234 ) )
= $true )
| ( ( SV233 @ SV234 )
= $false )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV268
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[932]) ).
thf(959,plain,
! [SV234: $i,SV233: $i > $o] :
( ( ( SV233 @ SV234 )
= $true )
| ( ( SV234 = sK5_E )
= $false )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[935]) ).
thf(960,plain,
! [SV233: $i > $o,SV234: $i] :
( ( ( SV234 = sK5_E )
= $true )
| ( ( SV233 @ SV234 )
= $false )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV233
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[936]) ).
thf(963,plain,
! [SV235: $i > $o,SV234: $i,SV237: $i > $o] :
( ( ( SV237 @ SV234 )
= $false )
| ( ( SV235 @ SV234 )
= $false )
| ( ( ~ ( SV237
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(964,plain,
! [SV237: $i > $o,SV234: $i,SV235: $i > $o] :
( ( ( SV235 @ SV234 )
= $true )
| ( ( SV237 @ SV234 )
= $true )
| ( ( ~ ( SV237
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) ) )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[944]) ).
thf(967,plain,
! [SV268: $i > $o,SV234: $i,SV233: $i > $o] :
( ( ( SV233 @ SV234 )
= $true )
| ( ( SV268 @ SV234 )
= $true )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV268
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[955]) ).
thf(968,plain,
! [SV233: $i > $o,SV234: $i,SV268: $i > $o] :
( ( ( SV268 @ SV234 )
= $false )
| ( ( SV233 @ SV234 )
= $false )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV268
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(970,plain,
! [SV234: $i,SV235: $i > $o,SV237: $i > $o] :
( ( ( SV237
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $false )
| ( ( SV235 @ SV234 )
= $false )
| ( ( SV237 @ SV234 )
= $false )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[963]) ).
thf(971,plain,
! [SV234: $i,SV235: $i > $o,SV237: $i > $o] :
( ( ( SV237
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $false )
| ( ( SV237 @ SV234 )
= $true )
| ( ( SV235 @ SV234 )
= $true )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV237 @ SX0 )
@ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[964]) ).
thf(974,plain,
! [SV234: $i,SV233: $i > $o,SV268: $i > $o] :
( ( ( SV268
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $false )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $true )
| ( ( SV268 @ SV234 )
= $true )
| ( ( SV233 @ SV234 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[967]) ).
thf(975,plain,
! [SV234: $i,SV233: $i > $o,SV268: $i > $o] :
( ( ( SV268
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $false )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] :
~ ( SV268 @ SX0 ) ) )
= $true )
| ( ( SV233 @ SV234 )
= $false )
| ( ( SV268 @ SV234 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[968]) ).
thf(978,plain,
! [SV234: $i,SV235: $i > $o] :
( ( ( SV235 @ SV234 )
= $false )
| ( ( SV235
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV235 ) )
= $true ) ),
inference(sim,[status(thm)],[939]) ).
thf(979,plain,
! [SV234: $i,SV233: $i > $o] :
( ( ( SV233 @ SV234 )
= $false )
| ( ( SV233
@ ( sK4_X @ SV233
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[952]) ).
thf(980,plain,
! [SV304: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( ( SV306 @ SV305 )
= ( SV304 @ SV305 ) )
= $true )
| ( ( SV306 @ ( sK4_X @ SV304 @ SV306 ) )
= $false )
| ( ( SV304 @ ( sK4_X @ SV304 @ SV306 ) )
= $false ) ),
inference(rename,[status(thm)],[40]) ).
thf(1004,plain,
! [SV305: $i,SV304: $i > $o] :
( ( ( $true
= ( SV304 @ SV305 ) )
= $true )
| ( $true = $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[980:[bind(SV306,$thf( ^ [SV310: $i] : $true ))]]) ).
thf(1005,plain,
! [SV305: $i,SV304: $i > $o] :
( ( ( $true
= ( SV304 @ SV305 ) )
= $true )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(sim,[status(thm)],[1004]) ).
thf(1007,plain,
! [SV304: $i > $o,SV305: $i,SV308: $i > $o] :
( ( ( ( ~ ( SV308 @ SV305 ) )
= ( SV304 @ SV305 ) )
= $true )
| ( ( ~ ( SV308
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) ) )
= $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[980:[bind(SV306,$thf( ^ [SV307: $i] : ~ ( SV308 @ SV307 ) ))]]) ).
thf(1009,plain,
! [SV305: $i,SV306: $i > $o] :
( ( ( ( SV306 @ SV305 )
= $true )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV306 ) )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[980:[bind(SV304,$thf( ^ [SV341: $i] : $true ))]]) ).
thf(1010,plain,
! [SV305: $i,SV306: $i > $o] :
( ( ( ( SV306 @ SV305 )
= $true )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV306 ) )
= $false ) ),
inference(sim,[status(thm)],[1009]) ).
thf(1012,plain,
! [SV339: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( ( SV306 @ SV305 )
= ( ~ ( SV339 @ SV305 ) ) )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $false )
| ( ( ~ ( SV339
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[980:[bind(SV304,$thf( ^ [SV338: $i] : ~ ( SV339 @ SV338 ) ))]]) ).
thf(1014,plain,
! [SV304: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( SV304 @ ( sK4_X @ SV304 @ SV306 ) )
= $false )
| ( ( SV306 @ ( sK4_X @ SV304 @ SV306 ) )
= $false )
| ( ( SV306 @ SV305 )
= $true )
| ( ( SV304 @ SV305 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[980]) ).
thf(1015,plain,
! [SV304: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( SV304 @ ( sK4_X @ SV304 @ SV306 ) )
= $false )
| ( ( SV306 @ ( sK4_X @ SV304 @ SV306 ) )
= $false )
| ( ( SV306 @ SV305 )
= $false )
| ( ( SV304 @ SV305 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[980]) ).
thf(1016,plain,
! [SV304: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( ~ ( ( SV306 @ SV305 )
| ( SV304 @ SV305 ) )
| ~ ( ~ ( SV306 @ SV305 )
| ~ ( SV304 @ SV305 ) ) )
= $true )
| ( ( SV306 @ ( sK4_X @ SV304 @ SV306 ) )
= $false )
| ( ( SV304 @ ( sK4_X @ SV304 @ SV306 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[980]) ).
thf(1017,plain,
! [SV304: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( ( SV306 @ SV305 )
= ( SV304 @ SV305 ) )
= $true )
| ( ( SV306 @ ( sK4_X @ SV304 @ SV306 ) )
= $false )
| ( ( SV304 @ ( sK4_X @ SV304 @ SV306 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[980]) ).
thf(1018,plain,
! [SV304: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( ~ ( ( SV306 @ SV305 )
| ( SV304 @ SV305 ) ) )
= $true )
| ( ( ~ ( ~ ( SV306 @ SV305 )
| ~ ( SV304 @ SV305 ) ) )
= $true )
| ( ( SV306 @ ( sK4_X @ SV304 @ SV306 ) )
= $false )
| ( ( SV304 @ ( sK4_X @ SV304 @ SV306 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1016]) ).
thf(1019,plain,
! [SV304: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( ( SV306 @ SV305 )
| ( SV304 @ SV305 ) )
= $false )
| ( ( ~ ( ~ ( SV306 @ SV305 )
| ~ ( SV304 @ SV305 ) ) )
= $true )
| ( ( SV306 @ ( sK4_X @ SV304 @ SV306 ) )
= $false )
| ( ( SV304 @ ( sK4_X @ SV304 @ SV306 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1020,plain,
! [SV304: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( SV306 @ SV305 )
= $false )
| ( ( ~ ( ~ ( SV306 @ SV305 )
| ~ ( SV304 @ SV305 ) ) )
= $true )
| ( ( SV306 @ ( sK4_X @ SV304 @ SV306 ) )
= $false )
| ( ( SV304 @ ( sK4_X @ SV304 @ SV306 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1019]) ).
thf(1021,plain,
! [SV306: $i > $o,SV305: $i,SV304: $i > $o] :
( ( ( SV304 @ SV305 )
= $false )
| ( ( ~ ( ~ ( SV306 @ SV305 )
| ~ ( SV304 @ SV305 ) ) )
= $true )
| ( ( SV306 @ ( sK4_X @ SV304 @ SV306 ) )
= $false )
| ( ( SV304 @ ( sK4_X @ SV304 @ SV306 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1019]) ).
thf(1022,plain,
! [SV304: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( ~ ( SV306 @ SV305 )
| ~ ( SV304 @ SV305 ) )
= $false )
| ( ( SV306 @ SV305 )
= $false )
| ( ( SV306 @ ( sK4_X @ SV304 @ SV306 ) )
= $false )
| ( ( SV304 @ ( sK4_X @ SV304 @ SV306 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1023,plain,
! [SV304: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( ~ ( SV306 @ SV305 )
| ~ ( SV304 @ SV305 ) )
= $false )
| ( ( SV304 @ SV305 )
= $false )
| ( ( SV306 @ ( sK4_X @ SV304 @ SV306 ) )
= $false )
| ( ( SV304 @ ( sK4_X @ SV304 @ SV306 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1025,plain,
! [SV306: $i > $o,SV305: $i,SV304: $i > $o] :
( ( ( ~ ( SV304 @ SV305 ) )
= $false )
| ( ( SV306 @ SV305 )
= $false )
| ( ( SV306 @ ( sK4_X @ SV304 @ SV306 ) )
= $false )
| ( ( SV304 @ ( sK4_X @ SV304 @ SV306 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1022]) ).
thf(1026,plain,
! [SV304: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( ~ ( SV306 @ SV305 ) )
= $false )
| ( ( SV304 @ SV305 )
= $false )
| ( ( SV306 @ ( sK4_X @ SV304 @ SV306 ) )
= $false )
| ( ( SV304 @ ( sK4_X @ SV304 @ SV306 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1023]) ).
thf(1029,plain,
! [SV306: $i > $o,SV305: $i,SV304: $i > $o] :
( ( ( SV304 @ SV305 )
= $true )
| ( ( SV306 @ SV305 )
= $false )
| ( ( SV306 @ ( sK4_X @ SV304 @ SV306 ) )
= $false )
| ( ( SV304 @ ( sK4_X @ SV304 @ SV306 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1025]) ).
thf(1030,plain,
! [SV304: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( SV306 @ SV305 )
= $true )
| ( ( SV304 @ SV305 )
= $false )
| ( ( SV306 @ ( sK4_X @ SV304 @ SV306 ) )
= $false )
| ( ( SV304 @ ( sK4_X @ SV304 @ SV306 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1026]) ).
thf(1032,plain,
! [SV305: $i,SV304: $i > $o] :
( ( ( ~ ( $true
| ( SV304 @ SV305 ) )
| ~ ( ~ $true
| ~ ( SV304 @ SV305 ) ) )
= $true )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1005]) ).
thf(1033,plain,
! [SV305: $i,SV304: $i > $o] :
( ( ( $true
= ( SV304 @ SV305 ) )
= $true )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1005]) ).
thf(1034,plain,
! [SV304: $i > $o,SV305: $i,SV308: $i > $o] :
( ( ( ~ ( ~ ( SV308 @ SV305 )
| ( SV304 @ SV305 ) )
| ~ ( ~ ~ ( SV308 @ SV305 )
| ~ ( SV304 @ SV305 ) ) )
= $true )
| ( ( ~ ( SV308
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) ) )
= $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1007]) ).
thf(1035,plain,
! [SV304: $i > $o,SV305: $i,SV308: $i > $o] :
( ( ( ( ~ ( SV308 @ SV305 ) )
= ( SV304 @ SV305 ) )
= $true )
| ( ( ~ ( SV308
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) ) )
= $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1007]) ).
thf(1036,plain,
! [SV305: $i,SV306: $i > $o] :
( ( ( ~ ( ( SV306 @ SV305 )
| $true )
| ~ ( ~ ( SV306 @ SV305 )
| ~ $true ) )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV306 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1010]) ).
thf(1037,plain,
! [SV305: $i,SV306: $i > $o] :
( ( ( ( SV306 @ SV305 )
= $true )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV306 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1010]) ).
thf(1038,plain,
! [SV339: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( ~ ( ( SV306 @ SV305 )
| ~ ( SV339 @ SV305 ) )
| ~ ( ~ ( SV306 @ SV305 )
| ~ ~ ( SV339 @ SV305 ) ) )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $false )
| ( ( ~ ( SV339
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1012]) ).
thf(1039,plain,
! [SV339: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( ( SV306 @ SV305 )
= ( ~ ( SV339 @ SV305 ) ) )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $false )
| ( ( ~ ( SV339
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1012]) ).
thf(1040,plain,
! [SV305: $i,SV304: $i > $o] :
( ( ( ~ ( $true
| ( SV304 @ SV305 ) ) )
= $true )
| ( ( ~ ( ~ $true
| ~ ( SV304 @ SV305 ) ) )
= $true )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1032]) ).
thf(1041,plain,
! [SV304: $i > $o,SV305: $i,SV308: $i > $o] :
( ( ( ~ ( ~ ( SV308 @ SV305 )
| ( SV304 @ SV305 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( SV308 @ SV305 )
| ~ ( SV304 @ SV305 ) ) )
= $true )
| ( ( ~ ( SV308
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) ) )
= $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1034]) ).
thf(1042,plain,
! [SV305: $i,SV304: $i > $o,SV308: $i > $o] :
( ( ( SV308
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $true )
| ( ( ( ~ ( SV308 @ SV305 ) )
= ( SV304 @ SV305 ) )
= $true )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1035]) ).
thf(1043,plain,
! [SV305: $i,SV306: $i > $o] :
( ( ( ~ ( ( SV306 @ SV305 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV306 @ SV305 )
| ~ $true ) )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV306 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1036]) ).
thf(1044,plain,
! [SV339: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( ~ ( ( SV306 @ SV305 )
| ~ ( SV339 @ SV305 ) ) )
= $true )
| ( ( ~ ( ~ ( SV306 @ SV305 )
| ~ ~ ( SV339 @ SV305 ) ) )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $false )
| ( ( ~ ( SV339
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1038]) ).
thf(1045,plain,
! [SV305: $i,SV306: $i > $o,SV339: $i > $o] :
( ( ( SV339
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $false )
| ( ( ( SV306 @ SV305 )
= ( ~ ( SV339 @ SV305 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1039]) ).
thf(1046,plain,
! [SV305: $i,SV304: $i > $o] :
( ( ( $true
| ( SV304 @ SV305 ) )
= $false )
| ( ( ~ ( ~ $true
| ~ ( SV304 @ SV305 ) ) )
= $true )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1047,plain,
! [SV304: $i > $o,SV305: $i,SV308: $i > $o] :
( ( ( ~ ( SV308 @ SV305 )
| ( SV304 @ SV305 ) )
= $false )
| ( ( ~ ( ~ ~ ( SV308 @ SV305 )
| ~ ( SV304 @ SV305 ) ) )
= $true )
| ( ( ~ ( SV308
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) ) )
= $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1048,plain,
! [SV305: $i,SV306: $i > $o] :
( ( ( ( SV306 @ SV305 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV306 @ SV305 )
| ~ $true ) )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV306 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1049,plain,
! [SV339: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( ( SV306 @ SV305 )
| ~ ( SV339 @ SV305 ) )
= $false )
| ( ( ~ ( ~ ( SV306 @ SV305 )
| ~ ~ ( SV339 @ SV305 ) ) )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $false )
| ( ( ~ ( SV339
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1044]) ).
thf(1050,plain,
! [SV305: $i,SV304: $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ ( SV304 @ SV305 ) ) )
= $true )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1046]) ).
thf(1052,plain,
! [SV304: $i > $o,SV305: $i,SV308: $i > $o] :
( ( ( ~ ( SV308 @ SV305 ) )
= $false )
| ( ( ~ ( ~ ~ ( SV308 @ SV305 )
| ~ ( SV304 @ SV305 ) ) )
= $true )
| ( ( ~ ( SV308
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) ) )
= $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1047]) ).
thf(1053,plain,
! [SV308: $i > $o,SV305: $i,SV304: $i > $o] :
( ( ( SV304 @ SV305 )
= $false )
| ( ( ~ ( ~ ~ ( SV308 @ SV305 )
| ~ ( SV304 @ SV305 ) ) )
= $true )
| ( ( ~ ( SV308
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) ) )
= $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1047]) ).
thf(1055,plain,
! [SV305: $i,SV306: $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV306 @ SV305 )
| ~ $true ) )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV306 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1048]) ).
thf(1056,plain,
! [SV339: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( SV306 @ SV305 )
= $false )
| ( ( ~ ( ~ ( SV306 @ SV305 )
| ~ ~ ( SV339 @ SV305 ) ) )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $false )
| ( ( ~ ( SV339
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1049]) ).
thf(1057,plain,
! [SV306: $i > $o,SV305: $i,SV339: $i > $o] :
( ( ( ~ ( SV339 @ SV305 ) )
= $false )
| ( ( ~ ( ~ ( SV306 @ SV305 )
| ~ ~ ( SV339 @ SV305 ) ) )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $false )
| ( ( ~ ( SV339
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1049]) ).
thf(1058,plain,
! [SV305: $i,SV304: $i > $o] :
( ( ( ~ $true
| ~ ( SV304 @ SV305 ) )
= $false )
| ( $true = $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1060,plain,
! [SV304: $i > $o,SV305: $i,SV308: $i > $o] :
( ( ( SV308 @ SV305 )
= $true )
| ( ( ~ ( ~ ~ ( SV308 @ SV305 )
| ~ ( SV304 @ SV305 ) ) )
= $true )
| ( ( ~ ( SV308
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) ) )
= $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1052]) ).
thf(1061,plain,
! [SV304: $i > $o,SV305: $i,SV308: $i > $o] :
( ( ( ~ ~ ( SV308 @ SV305 )
| ~ ( SV304 @ SV305 ) )
= $false )
| ( ( SV304 @ SV305 )
= $false )
| ( ( ~ ( SV308
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) ) )
= $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1053]) ).
thf(1063,plain,
! [SV305: $i,SV306: $i > $o] :
( ( ( ~ ( SV306 @ SV305 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV306 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1055]) ).
thf(1064,plain,
! [SV339: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( ~ ( SV306 @ SV305 )
| ~ ~ ( SV339 @ SV305 ) )
= $false )
| ( ( SV306 @ SV305 )
= $false )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $false )
| ( ( ~ ( SV339
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1056]) ).
thf(1065,plain,
! [SV306: $i > $o,SV305: $i,SV339: $i > $o] :
( ( ( SV339 @ SV305 )
= $true )
| ( ( ~ ( ~ ( SV306 @ SV305 )
| ~ ~ ( SV339 @ SV305 ) ) )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $false )
| ( ( ~ ( SV339
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1057]) ).
thf(1067,plain,
! [SV305: $i,SV304: $i > $o] :
( ( ( ~ ( SV304 @ SV305 ) )
= $false )
| ( $true = $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1058]) ).
thf(1070,plain,
! [SV304: $i > $o,SV305: $i,SV308: $i > $o] :
( ( ( ~ ~ ( SV308 @ SV305 )
| ~ ( SV304 @ SV305 ) )
= $false )
| ( ( SV308 @ SV305 )
= $true )
| ( ( ~ ( SV308
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) ) )
= $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1071,plain,
! [SV304: $i > $o,SV305: $i,SV308: $i > $o] :
( ( ( ~ ~ ( SV308 @ SV305 ) )
= $false )
| ( ( SV304 @ SV305 )
= $false )
| ( ( ~ ( SV308
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) ) )
= $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1075,plain,
! [SV305: $i,SV306: $i > $o] :
( ( ( ~ ( SV306 @ SV305 ) )
= $false )
| ( $true = $false )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV306 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1063]) ).
thf(1078,plain,
! [SV306: $i > $o,SV305: $i,SV339: $i > $o] :
( ( ( ~ ~ ( SV339 @ SV305 ) )
= $false )
| ( ( SV306 @ SV305 )
= $false )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $false )
| ( ( ~ ( SV339
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1064]) ).
thf(1079,plain,
! [SV339: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( ~ ( SV306 @ SV305 )
| ~ ~ ( SV339 @ SV305 ) )
= $false )
| ( ( SV339 @ SV305 )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $false )
| ( ( ~ ( SV339
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1065]) ).
thf(1081,plain,
! [SV305: $i,SV304: $i > $o] :
( ( ( SV304 @ SV305 )
= $true )
| ( $true = $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1067]) ).
thf(1085,plain,
! [SV308: $i > $o,SV305: $i,SV304: $i > $o] :
( ( ( ~ ( SV304 @ SV305 ) )
= $false )
| ( ( SV308 @ SV305 )
= $true )
| ( ( ~ ( SV308
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) ) )
= $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1070]) ).
thf(1086,plain,
! [SV304: $i > $o,SV305: $i,SV308: $i > $o] :
( ( ( ~ ( SV308 @ SV305 ) )
= $true )
| ( ( SV304 @ SV305 )
= $false )
| ( ( ~ ( SV308
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) ) )
= $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1071]) ).
thf(1090,plain,
! [SV305: $i,SV306: $i > $o] :
( ( ( SV306 @ SV305 )
= $true )
| ( $true = $false )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV306 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1075]) ).
thf(1093,plain,
! [SV306: $i > $o,SV305: $i,SV339: $i > $o] :
( ( ( ~ ( SV339 @ SV305 ) )
= $true )
| ( ( SV306 @ SV305 )
= $false )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $false )
| ( ( ~ ( SV339
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1078]) ).
thf(1094,plain,
! [SV339: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( ~ ( SV306 @ SV305 ) )
= $false )
| ( ( SV339 @ SV305 )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $false )
| ( ( ~ ( SV339
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1079]) ).
thf(1097,plain,
! [SV308: $i > $o,SV305: $i,SV304: $i > $o] :
( ( ( SV304 @ SV305 )
= $true )
| ( ( SV308 @ SV305 )
= $true )
| ( ( ~ ( SV308
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) ) )
= $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1085]) ).
thf(1098,plain,
! [SV304: $i > $o,SV305: $i,SV308: $i > $o] :
( ( ( SV308 @ SV305 )
= $false )
| ( ( SV304 @ SV305 )
= $false )
| ( ( ~ ( SV308
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) ) )
= $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1086]) ).
thf(1101,plain,
! [SV306: $i > $o,SV305: $i,SV339: $i > $o] :
( ( ( SV339 @ SV305 )
= $false )
| ( ( SV306 @ SV305 )
= $false )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $false )
| ( ( ~ ( SV339
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1093]) ).
thf(1102,plain,
! [SV339: $i > $o,SV305: $i,SV306: $i > $o] :
( ( ( SV306 @ SV305 )
= $true )
| ( ( SV339 @ SV305 )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $false )
| ( ( ~ ( SV339
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1094]) ).
thf(1105,plain,
! [SV305: $i,SV304: $i > $o,SV308: $i > $o] :
( ( ( SV308
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $true )
| ( ( SV308 @ SV305 )
= $true )
| ( ( SV304 @ SV305 )
= $true )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1097]) ).
thf(1106,plain,
! [SV305: $i,SV304: $i > $o,SV308: $i > $o] :
( ( ( SV308
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $true )
| ( ( SV304 @ SV305 )
= $false )
| ( ( SV308 @ SV305 )
= $false )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] :
~ ( SV308 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1098]) ).
thf(1107,plain,
! [SV305: $i,SV306: $i > $o,SV339: $i > $o] :
( ( ( SV339
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $false )
| ( ( SV306 @ SV305 )
= $false )
| ( ( SV339 @ SV305 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1101]) ).
thf(1108,plain,
! [SV305: $i,SV306: $i > $o,SV339: $i > $o] :
( ( ( SV339
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV306 ) )
= $false )
| ( ( SV339 @ SV305 )
= $true )
| ( ( SV306 @ SV305 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1102]) ).
thf(1112,plain,
! [SV305: $i,SV304: $i > $o] :
( ( ( SV304 @ SV305 )
= $true )
| ( ( SV304
@ ( sK4_X @ SV304
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(sim,[status(thm)],[1081]) ).
thf(1113,plain,
! [SV305: $i,SV306: $i > $o] :
( ( ( SV306 @ SV305 )
= $true )
| ( ( SV306
@ ( sK4_X
@ ^ [SX0: $i] : $true
@ SV306 ) )
= $false ) ),
inference(sim,[status(thm)],[1090]) ).
thf(1114,plain,
! [SV407: $i > $o,SV408: $i,SV409: $i > $o] :
( ( ( SV409 @ SV408 )
= $true )
| ( ( SV407 @ SV408 )
= $false )
| ( ( SV409 @ ( sK4_X @ SV409 @ SV407 ) )
= $true )
| ( ( SV407 @ ( sK4_X @ SV409 @ SV407 ) )
= $true ) ),
inference(rename,[status(thm)],[57]) ).
thf(1146,plain,
! [SV408: $i,SV407: $i > $o] :
( ( $false = $true )
| ( ( SV407 @ SV408 )
= $false )
| ( $false = $true )
| ( ( SV407
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV407 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1114:[bind(SV409,$thf( ^ [SV412: $i] : $false ))]]) ).
thf(1147,plain,
! [SV408: $i,SV407: $i > $o] :
( ( ( SV407 @ SV408 )
= $false )
| ( ( SV407
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV407 ) )
= $true ) ),
inference(sim,[status(thm)],[1146]) ).
thf(1148,plain,
! [SV407: $i > $o,SV408: $i,SV411: $i > $o] :
( ( ( ~ ( SV411 @ SV408 ) )
= $true )
| ( ( SV407 @ SV408 )
= $false )
| ( ( ~ ( SV411
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV411 @ SX0 )
@ SV407 ) ) )
= $true )
| ( ( SV407
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV411 @ SX0 )
@ SV407 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1114:[bind(SV409,$thf( ^ [SV410: $i] : ~ ( SV411 @ SV410 ) ))]]) ).
thf(1149,plain,
! [SV407: $i > $o,SV408: $i] :
( ( ( SV408 = sK5_E )
= $true )
| ( ( SV407 @ SV408 )
= $false )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV407 )
= sK5_E )
= $true )
| ( ( SV407
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV407 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1114:[bind(SV409,$thf( ^ [SV414: $i] : ( SV414 = sK5_E ) ))]]) ).
thf(1152,plain,
! [SV442: $i > $o,SV408: $i,SV409: $i > $o] :
( ( ( SV409 @ SV408 )
= $true )
| ( ( ~ ( SV442 @ SV408 ) )
= $false )
| ( ( SV409
@ ( sK4_X @ SV409
@ ^ [SX0: $i] :
~ ( SV442 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV442
@ ( sK4_X @ SV409
@ ^ [SX0: $i] :
~ ( SV442 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1114:[bind(SV407,$thf( ^ [SV441: $i] : ~ ( SV442 @ SV441 ) ))]]) ).
thf(1153,plain,
! [SV408: $i,SV409: $i > $o] :
( ( ( SV409 @ SV408 )
= $true )
| ( ( SV408 = sK5_E )
= $false )
| ( ( SV409
@ ( sK4_X @ SV409
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV409
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(prim_subst,[status(thm)],[1114:[bind(SV407,$thf( ^ [SV445: $i] : ( SV445 = sK5_E ) ))]]) ).
thf(1155,plain,
! [SV408: $i,SV407: $i > $o] :
( ( $false = $true )
| ( ( SV407 @ SV408 )
= $false )
| ( $false = $true )
| ( ( SV407
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV407 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1114:[bind(SV409,$thf( ^ [SV474: $i] : $false ))]]) ).
thf(1156,plain,
! [SV408: $i,SV407: $i > $o] :
( ( ( SV407 @ SV408 )
= $false )
| ( ( SV407
@ ( sK4_X
@ ^ [SX0: $i] : $false
@ SV407 ) )
= $true ) ),
inference(sim,[status(thm)],[1155]) ).
thf(1157,plain,
! [SV407: $i > $o,SV408: $i,SV473: $i > $o] :
( ( ( ~ ( SV473 @ SV408 ) )
= $true )
| ( ( SV407 @ SV408 )
= $false )
| ( ( ~ ( SV473
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV473 @ SX0 )
@ SV407 ) ) )
= $true )
| ( ( SV407
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV473 @ SX0 )
@ SV407 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1114:[bind(SV409,$thf( ^ [SV472: $i] : ~ ( SV473 @ SV472 ) ))]]) ).
thf(1158,plain,
! [SV407: $i > $o,SV408: $i] :
( ( ( SV408 = sK5_E )
= $true )
| ( ( SV407 @ SV408 )
= $false )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV407 )
= sK5_E )
= $true )
| ( ( SV407
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV407 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1114:[bind(SV409,$thf( ^ [SV476: $i] : ( SV476 = sK5_E ) ))]]) ).
thf(1161,plain,
! [SV504: $i > $o,SV408: $i,SV409: $i > $o] :
( ( ( SV409 @ SV408 )
= $true )
| ( ( ~ ( SV504 @ SV408 ) )
= $false )
| ( ( SV409
@ ( sK4_X @ SV409
@ ^ [SX0: $i] :
~ ( SV504 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV504
@ ( sK4_X @ SV409
@ ^ [SX0: $i] :
~ ( SV504 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1114:[bind(SV407,$thf( ^ [SV503: $i] : ~ ( SV504 @ SV503 ) ))]]) ).
thf(1162,plain,
! [SV408: $i,SV409: $i > $o] :
( ( ( SV409 @ SV408 )
= $true )
| ( ( SV408 = sK5_E )
= $false )
| ( ( SV409
@ ( sK4_X @ SV409
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV409
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(prim_subst,[status(thm)],[1114:[bind(SV407,$thf( ^ [SV507: $i] : ( SV507 = sK5_E ) ))]]) ).
thf(1163,plain,
! [SV409: $i > $o] :
( ( ( ( sK4_X @ SV409
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true )
| ( ( SV409
@ ( sK4_X @ SV409
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( SV409 @ sK5_E )
= $true ) ),
inference(extuni,[status(esa)],[1153:[bind(SV408,$thf( sK5_E ))]]) ).
thf(1164,plain,
! [SV409: $i > $o] :
( ( ( ( sK4_X @ SV409
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true )
| ( ( SV409
@ ( sK4_X @ SV409
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( SV409 @ sK5_E )
= $true ) ),
inference(extuni,[status(esa)],[1162:[bind(SV408,$thf( sK5_E ))]]) ).
thf(1165,plain,
! [SV407: $i > $o,SV408: $i,SV411: $i > $o] :
( ( ( SV411 @ SV408 )
= $false )
| ( ( SV407 @ SV408 )
= $false )
| ( ( ~ ( SV411
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV411 @ SX0 )
@ SV407 ) ) )
= $true )
| ( ( SV407
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV411 @ SX0 )
@ SV407 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1148]) ).
thf(1166,plain,
! [SV409: $i > $o,SV408: $i,SV442: $i > $o] :
( ( ( SV442 @ SV408 )
= $true )
| ( ( SV409 @ SV408 )
= $true )
| ( ( SV409
@ ( sK4_X @ SV409
@ ^ [SX0: $i] :
~ ( SV442 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV442
@ ( sK4_X @ SV409
@ ^ [SX0: $i] :
~ ( SV442 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1152]) ).
thf(1167,plain,
! [SV407: $i > $o,SV408: $i,SV473: $i > $o] :
( ( ( SV473 @ SV408 )
= $false )
| ( ( SV407 @ SV408 )
= $false )
| ( ( ~ ( SV473
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV473 @ SX0 )
@ SV407 ) ) )
= $true )
| ( ( SV407
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV473 @ SX0 )
@ SV407 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1157]) ).
thf(1168,plain,
! [SV409: $i > $o,SV408: $i,SV504: $i > $o] :
( ( ( SV504 @ SV408 )
= $true )
| ( ( SV409 @ SV408 )
= $true )
| ( ( SV409
@ ( sK4_X @ SV409
@ ^ [SX0: $i] :
~ ( SV504 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV504
@ ( sK4_X @ SV409
@ ^ [SX0: $i] :
~ ( SV504 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1161]) ).
thf(1169,plain,
! [SV408: $i,SV407: $i > $o,SV411: $i > $o] :
( ( ( SV411
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV411 @ SX0 )
@ SV407 ) )
= $false )
| ( ( SV407 @ SV408 )
= $false )
| ( ( SV411 @ SV408 )
= $false )
| ( ( SV407
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV411 @ SX0 )
@ SV407 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1170,plain,
! [SV408: $i,SV409: $i > $o,SV442: $i > $o] :
( ( ( SV442
@ ( sK4_X @ SV409
@ ^ [SX0: $i] :
~ ( SV442 @ SX0 ) ) )
= $false )
| ( ( SV409
@ ( sK4_X @ SV409
@ ^ [SX0: $i] :
~ ( SV442 @ SX0 ) ) )
= $true )
| ( ( SV409 @ SV408 )
= $true )
| ( ( SV442 @ SV408 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1166]) ).
thf(1171,plain,
! [SV408: $i,SV407: $i > $o,SV473: $i > $o] :
( ( ( SV473
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV473 @ SX0 )
@ SV407 ) )
= $false )
| ( ( SV407 @ SV408 )
= $false )
| ( ( SV473 @ SV408 )
= $false )
| ( ( SV407
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV473 @ SX0 )
@ SV407 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1172,plain,
! [SV408: $i,SV409: $i > $o,SV504: $i > $o] :
( ( ( SV504
@ ( sK4_X @ SV409
@ ^ [SX0: $i] :
~ ( SV504 @ SX0 ) ) )
= $false )
| ( ( SV409
@ ( sK4_X @ SV409
@ ^ [SX0: $i] :
~ ( SV504 @ SX0 ) ) )
= $true )
| ( ( SV409 @ SV408 )
= $true )
| ( ( SV504 @ SV408 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1168]) ).
thf(1173,plain,
! [SV562: $i > $o,SV563: $i,SV564: $i > $o] :
( ( ( SV564 @ SV563 )
= $true )
| ( ( SV562 @ SV563 )
= $false )
| ( ( SV562 @ ( sK4_X @ SV562 @ SV564 ) )
= $true )
| ( ( SV564 @ ( sK4_X @ SV562 @ SV564 ) )
= $true ) ),
inference(rename,[status(thm)],[58]) ).
thf(1211,plain,
! [SV563: $i,SV562: $i > $o] :
( ( $false = $true )
| ( ( SV562 @ SV563 )
= $false )
| ( ( SV562
@ ( sK4_X @ SV562
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[1173:[bind(SV564,$thf( ^ [SV567: $i] : $false ))]]) ).
thf(1212,plain,
! [SV563: $i,SV562: $i > $o] :
( ( ( SV562 @ SV563 )
= $false )
| ( ( SV562
@ ( sK4_X @ SV562
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[1211]) ).
thf(1213,plain,
! [SV562: $i > $o,SV563: $i,SV566: $i > $o] :
( ( ( ~ ( SV566 @ SV563 ) )
= $true )
| ( ( SV562 @ SV563 )
= $false )
| ( ( SV562
@ ( sK4_X @ SV562
@ ^ [SX0: $i] :
~ ( SV566 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV566
@ ( sK4_X @ SV562
@ ^ [SX0: $i] :
~ ( SV566 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1173:[bind(SV564,$thf( ^ [SV565: $i] : ~ ( SV566 @ SV565 ) ))]]) ).
thf(1214,plain,
! [SV562: $i > $o,SV563: $i] :
( ( ( SV563 = sK5_E )
= $true )
| ( ( SV562 @ SV563 )
= $false )
| ( ( SV562
@ ( sK4_X @ SV562
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV562
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(prim_subst,[status(thm)],[1173:[bind(SV564,$thf( ^ [SV569: $i] : ( SV569 = sK5_E ) ))]]) ).
thf(1217,plain,
! [SV597: $i > $o,SV563: $i,SV564: $i > $o] :
( ( ( SV564 @ SV563 )
= $true )
| ( ( ~ ( SV597 @ SV563 ) )
= $false )
| ( ( ~ ( SV597
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV597 @ SX0 )
@ SV564 ) ) )
= $true )
| ( ( SV564
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV597 @ SX0 )
@ SV564 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1173:[bind(SV562,$thf( ^ [SV596: $i] : ~ ( SV597 @ SV596 ) ))]]) ).
thf(1218,plain,
! [SV563: $i,SV564: $i > $o] :
( ( ( SV564 @ SV563 )
= $true )
| ( ( SV563 = sK5_E )
= $false )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV564 )
= sK5_E )
= $true )
| ( ( SV564
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV564 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1173:[bind(SV562,$thf( ^ [SV600: $i] : ( SV600 = sK5_E ) ))]]) ).
thf(1221,plain,
! [SV628: $i > $o,SV563: $i,SV564: $i > $o] :
( ( ( SV564 @ SV563 )
= $true )
| ( ( ~ ( SV628 @ SV563 ) )
= $false )
| ( ( ~ ( SV628
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV628 @ SX0 )
@ SV564 ) ) )
= $true )
| ( ( SV564
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV628 @ SX0 )
@ SV564 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1173:[bind(SV562,$thf( ^ [SV627: $i] : ~ ( SV628 @ SV627 ) ))]]) ).
thf(1222,plain,
! [SV563: $i,SV564: $i > $o] :
( ( ( SV564 @ SV563 )
= $true )
| ( ( SV563 = sK5_E )
= $false )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV564 )
= sK5_E )
= $true )
| ( ( SV564
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV564 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1173:[bind(SV562,$thf( ^ [SV631: $i] : ( SV631 = sK5_E ) ))]]) ).
thf(1224,plain,
! [SV563: $i,SV562: $i > $o] :
( ( $false = $true )
| ( ( SV562 @ SV563 )
= $false )
| ( ( SV562
@ ( sK4_X @ SV562
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[1173:[bind(SV564,$thf( ^ [SV660: $i] : $false ))]]) ).
thf(1225,plain,
! [SV563: $i,SV562: $i > $o] :
( ( ( SV562 @ SV563 )
= $false )
| ( ( SV562
@ ( sK4_X @ SV562
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[1224]) ).
thf(1226,plain,
! [SV562: $i > $o,SV563: $i,SV659: $i > $o] :
( ( ( ~ ( SV659 @ SV563 ) )
= $true )
| ( ( SV562 @ SV563 )
= $false )
| ( ( SV562
@ ( sK4_X @ SV562
@ ^ [SX0: $i] :
~ ( SV659 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV659
@ ( sK4_X @ SV562
@ ^ [SX0: $i] :
~ ( SV659 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1173:[bind(SV564,$thf( ^ [SV658: $i] : ~ ( SV659 @ SV658 ) ))]]) ).
thf(1227,plain,
! [SV562: $i > $o,SV563: $i] :
( ( ( SV563 = sK5_E )
= $true )
| ( ( SV562 @ SV563 )
= $false )
| ( ( SV562
@ ( sK4_X @ SV562
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $true )
| ( ( ( sK4_X @ SV562
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $true ) ),
inference(prim_subst,[status(thm)],[1173:[bind(SV564,$thf( ^ [SV662: $i] : ( SV662 = sK5_E ) ))]]) ).
thf(1228,plain,
! [SV564: $i > $o] :
( ( ( SV564
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV564 ) )
= $true )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV564 )
= sK5_E )
= $true )
| ( ( SV564 @ sK5_E )
= $true ) ),
inference(extuni,[status(esa)],[1218:[bind(SV563,$thf( sK5_E ))]]) ).
thf(1229,plain,
! [SV564: $i > $o] :
( ( ( SV564
@ ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV564 ) )
= $true )
| ( ( ( sK4_X
@ ^ [SX0: $i] : ( SX0 = sK5_E )
@ SV564 )
= sK5_E )
= $true )
| ( ( SV564 @ sK5_E )
= $true ) ),
inference(extuni,[status(esa)],[1222:[bind(SV563,$thf( sK5_E ))]]) ).
thf(1230,plain,
! [SV562: $i > $o,SV563: $i,SV566: $i > $o] :
( ( ( SV566 @ SV563 )
= $false )
| ( ( SV562 @ SV563 )
= $false )
| ( ( SV562
@ ( sK4_X @ SV562
@ ^ [SX0: $i] :
~ ( SV566 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV566
@ ( sK4_X @ SV562
@ ^ [SX0: $i] :
~ ( SV566 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1213]) ).
thf(1231,plain,
! [SV564: $i > $o,SV563: $i,SV597: $i > $o] :
( ( ( SV597 @ SV563 )
= $true )
| ( ( SV564 @ SV563 )
= $true )
| ( ( ~ ( SV597
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV597 @ SX0 )
@ SV564 ) ) )
= $true )
| ( ( SV564
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV597 @ SX0 )
@ SV564 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1217]) ).
thf(1232,plain,
! [SV564: $i > $o,SV563: $i,SV628: $i > $o] :
( ( ( SV628 @ SV563 )
= $true )
| ( ( SV564 @ SV563 )
= $true )
| ( ( ~ ( SV628
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV628 @ SX0 )
@ SV564 ) ) )
= $true )
| ( ( SV564
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV628 @ SX0 )
@ SV564 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1221]) ).
thf(1233,plain,
! [SV562: $i > $o,SV563: $i,SV659: $i > $o] :
( ( ( SV659 @ SV563 )
= $false )
| ( ( SV562 @ SV563 )
= $false )
| ( ( SV562
@ ( sK4_X @ SV562
@ ^ [SX0: $i] :
~ ( SV659 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV659
@ ( sK4_X @ SV562
@ ^ [SX0: $i] :
~ ( SV659 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1226]) ).
thf(1234,plain,
! [SV563: $i,SV562: $i > $o,SV566: $i > $o] :
( ( ( SV566
@ ( sK4_X @ SV562
@ ^ [SX0: $i] :
~ ( SV566 @ SX0 ) ) )
= $false )
| ( ( SV562
@ ( sK4_X @ SV562
@ ^ [SX0: $i] :
~ ( SV566 @ SX0 ) ) )
= $true )
| ( ( SV562 @ SV563 )
= $false )
| ( ( SV566 @ SV563 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1230]) ).
thf(1235,plain,
! [SV563: $i,SV564: $i > $o,SV597: $i > $o] :
( ( ( SV597
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV597 @ SX0 )
@ SV564 ) )
= $false )
| ( ( SV564 @ SV563 )
= $true )
| ( ( SV597 @ SV563 )
= $true )
| ( ( SV564
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV597 @ SX0 )
@ SV564 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1231]) ).
thf(1236,plain,
! [SV563: $i,SV564: $i > $o,SV628: $i > $o] :
( ( ( SV628
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV628 @ SX0 )
@ SV564 ) )
= $false )
| ( ( SV564 @ SV563 )
= $true )
| ( ( SV628 @ SV563 )
= $true )
| ( ( SV564
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV628 @ SX0 )
@ SV564 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1237,plain,
! [SV563: $i,SV562: $i > $o,SV659: $i > $o] :
( ( ( SV659
@ ( sK4_X @ SV562
@ ^ [SX0: $i] :
~ ( SV659 @ SX0 ) ) )
= $false )
| ( ( SV562
@ ( sK4_X @ SV562
@ ^ [SX0: $i] :
~ ( SV659 @ SX0 ) ) )
= $true )
| ( ( SV562 @ SV563 )
= $false )
| ( ( SV659 @ SV563 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1233]) ).
thf(1238,plain,
! [SV717: $i > $o,SV718: $i,SV719: $i > $o] :
( ( ( SV719 @ SV718 )
= $true )
| ( ( SV717 @ SV718 )
= $false )
| ( ( SV717 @ ( sK4_X @ SV719 @ SV717 ) )
= $false )
| ( ( SV719 @ ( sK4_X @ SV719 @ SV717 ) )
= $false ) ),
inference(rename,[status(thm)],[65]) ).
thf(1299,plain,
! [SV717: $i > $o,SV718: $i,SV721: $i > $o] :
( ( ( ~ ( SV721 @ SV718 ) )
= $true )
| ( ( SV717 @ SV718 )
= $false )
| ( ( SV717
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV721 @ SX0 )
@ SV717 ) )
= $false )
| ( ( ~ ( SV721
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV721 @ SX0 )
@ SV717 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1238:[bind(SV719,$thf( ^ [SV720: $i] : ~ ( SV721 @ SV720 ) ))]]) ).
thf(1301,plain,
! [SV718: $i,SV719: $i > $o] :
( ( ( SV719 @ SV718 )
= $true )
| ( $true = $false )
| ( $true = $false )
| ( ( SV719
@ ( sK4_X @ SV719
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1238:[bind(SV717,$thf( ^ [SV754: $i] : $true ))]]) ).
thf(1302,plain,
! [SV718: $i,SV719: $i > $o] :
( ( ( SV719 @ SV718 )
= $true )
| ( ( SV719
@ ( sK4_X @ SV719
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(sim,[status(thm)],[1301]) ).
thf(1304,plain,
! [SV752: $i > $o,SV718: $i,SV719: $i > $o] :
( ( ( SV719 @ SV718 )
= $true )
| ( ( ~ ( SV752 @ SV718 ) )
= $false )
| ( ( ~ ( SV752
@ ( sK4_X @ SV719
@ ^ [SX0: $i] :
~ ( SV752 @ SX0 ) ) ) )
= $false )
| ( ( SV719
@ ( sK4_X @ SV719
@ ^ [SX0: $i] :
~ ( SV752 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1238:[bind(SV717,$thf( ^ [SV751: $i] : ~ ( SV752 @ SV751 ) ))]]) ).
thf(1305,plain,
! [SV718: $i,SV719: $i > $o] :
( ( ( SV719 @ SV718 )
= $true )
| ( ( SV718 = sK5_E )
= $false )
| ( ( ( sK4_X @ SV719
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $false )
| ( ( SV719
@ ( sK4_X @ SV719
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1238:[bind(SV717,$thf( ^ [SV755: $i] : ( SV755 = sK5_E ) ))]]) ).
thf(1306,plain,
! [SV718: $i,SV719: $i > $o] :
( ( ( SV719 @ SV718 )
= $true )
| ( $true = $false )
| ( $true = $false )
| ( ( SV719
@ ( sK4_X @ SV719
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1238:[bind(SV717,$thf( ^ [SV785: $i] : $true ))]]) ).
thf(1307,plain,
! [SV718: $i,SV719: $i > $o] :
( ( ( SV719 @ SV718 )
= $true )
| ( ( SV719
@ ( sK4_X @ SV719
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(sim,[status(thm)],[1306]) ).
thf(1309,plain,
! [SV783: $i > $o,SV718: $i,SV719: $i > $o] :
( ( ( SV719 @ SV718 )
= $true )
| ( ( ~ ( SV783 @ SV718 ) )
= $false )
| ( ( ~ ( SV783
@ ( sK4_X @ SV719
@ ^ [SX0: $i] :
~ ( SV783 @ SX0 ) ) ) )
= $false )
| ( ( SV719
@ ( sK4_X @ SV719
@ ^ [SX0: $i] :
~ ( SV783 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1238:[bind(SV717,$thf( ^ [SV782: $i] : ~ ( SV783 @ SV782 ) ))]]) ).
thf(1310,plain,
! [SV718: $i,SV719: $i > $o] :
( ( ( SV719 @ SV718 )
= $true )
| ( ( SV718 = sK5_E )
= $false )
| ( ( ( sK4_X @ SV719
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $false )
| ( ( SV719
@ ( sK4_X @ SV719
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1238:[bind(SV717,$thf( ^ [SV786: $i] : ( SV786 = sK5_E ) ))]]) ).
thf(1313,plain,
! [SV717: $i > $o,SV718: $i,SV814: $i > $o] :
( ( ( ~ ( SV814 @ SV718 ) )
= $true )
| ( ( SV717 @ SV718 )
= $false )
| ( ( SV717
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV814 @ SX0 )
@ SV717 ) )
= $false )
| ( ( ~ ( SV814
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV814 @ SX0 )
@ SV717 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1238:[bind(SV719,$thf( ^ [SV813: $i] : ~ ( SV814 @ SV813 ) ))]]) ).
thf(1315,plain,
! [SV719: $i > $o] :
( ( ( SV719
@ ( sK4_X @ SV719
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $false )
| ( ( ( sK4_X @ SV719
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $false )
| ( ( SV719 @ sK5_E )
= $true ) ),
inference(extuni,[status(esa)],[1305:[bind(SV718,$thf( sK5_E ))]]) ).
thf(1316,plain,
! [SV719: $i > $o] :
( ( ( SV719
@ ( sK4_X @ SV719
@ ^ [SX0: $i] : ( SX0 = sK5_E ) ) )
= $false )
| ( ( ( sK4_X @ SV719
@ ^ [SX0: $i] : ( SX0 = sK5_E ) )
= sK5_E )
= $false )
| ( ( SV719 @ sK5_E )
= $true ) ),
inference(extuni,[status(esa)],[1310:[bind(SV718,$thf( sK5_E ))]]) ).
thf(1317,plain,
! [SV717: $i > $o,SV718: $i,SV721: $i > $o] :
( ( ( SV721 @ SV718 )
= $false )
| ( ( SV717 @ SV718 )
= $false )
| ( ( SV717
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV721 @ SX0 )
@ SV717 ) )
= $false )
| ( ( ~ ( SV721
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV721 @ SX0 )
@ SV717 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1299]) ).
thf(1318,plain,
! [SV719: $i > $o,SV718: $i,SV752: $i > $o] :
( ( ( SV752 @ SV718 )
= $true )
| ( ( SV719 @ SV718 )
= $true )
| ( ( ~ ( SV752
@ ( sK4_X @ SV719
@ ^ [SX0: $i] :
~ ( SV752 @ SX0 ) ) ) )
= $false )
| ( ( SV719
@ ( sK4_X @ SV719
@ ^ [SX0: $i] :
~ ( SV752 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1304]) ).
thf(1319,plain,
! [SV719: $i > $o,SV718: $i,SV783: $i > $o] :
( ( ( SV783 @ SV718 )
= $true )
| ( ( SV719 @ SV718 )
= $true )
| ( ( ~ ( SV783
@ ( sK4_X @ SV719
@ ^ [SX0: $i] :
~ ( SV783 @ SX0 ) ) ) )
= $false )
| ( ( SV719
@ ( sK4_X @ SV719
@ ^ [SX0: $i] :
~ ( SV783 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1309]) ).
thf(1320,plain,
! [SV717: $i > $o,SV718: $i,SV814: $i > $o] :
( ( ( SV814 @ SV718 )
= $false )
| ( ( SV717 @ SV718 )
= $false )
| ( ( SV717
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV814 @ SX0 )
@ SV717 ) )
= $false )
| ( ( ~ ( SV814
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV814 @ SX0 )
@ SV717 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1313]) ).
thf(1321,plain,
! [SV718: $i,SV717: $i > $o,SV721: $i > $o] :
( ( ( SV721
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV721 @ SX0 )
@ SV717 ) )
= $true )
| ( ( SV717
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV721 @ SX0 )
@ SV717 ) )
= $false )
| ( ( SV717 @ SV718 )
= $false )
| ( ( SV721 @ SV718 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1317]) ).
thf(1322,plain,
! [SV718: $i,SV719: $i > $o,SV752: $i > $o] :
( ( ( SV752
@ ( sK4_X @ SV719
@ ^ [SX0: $i] :
~ ( SV752 @ SX0 ) ) )
= $true )
| ( ( SV719 @ SV718 )
= $true )
| ( ( SV752 @ SV718 )
= $true )
| ( ( SV719
@ ( sK4_X @ SV719
@ ^ [SX0: $i] :
~ ( SV752 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1318]) ).
thf(1323,plain,
! [SV718: $i,SV719: $i > $o,SV783: $i > $o] :
( ( ( SV783
@ ( sK4_X @ SV719
@ ^ [SX0: $i] :
~ ( SV783 @ SX0 ) ) )
= $true )
| ( ( SV719 @ SV718 )
= $true )
| ( ( SV783 @ SV718 )
= $true )
| ( ( SV719
@ ( sK4_X @ SV719
@ ^ [SX0: $i] :
~ ( SV783 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1319]) ).
thf(1324,plain,
! [SV718: $i,SV717: $i > $o,SV814: $i > $o] :
( ( ( SV814
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV814 @ SX0 )
@ SV717 ) )
= $true )
| ( ( SV717
@ ( sK4_X
@ ^ [SX0: $i] :
~ ( SV814 @ SX0 )
@ SV717 ) )
= $false )
| ( ( SV717 @ SV718 )
= $false )
| ( ( SV814 @ SV718 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1320]) ).
thf(1325,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[18,1324,1323,1322,1321,1316,1315,1307,1302,1238,1237,1236,1235,1234,1229,1228,1227,1225,1214,1212,1173,1172,1171,1170,1169,1164,1163,1158,1156,1149,1147,1114,1113,1112,1108,1107,1106,1105,1045,1042,1037,1033,1030,1029,1017,1015,1014,980,979,978,975,974,971,970,960,959,948,947,884,880,877,873,871,867,864,863,851,849,848,828,827,826,822,821,820,819,759,756,751,747,745,742,737,733,730,729,717,714,689,688,687,684,683,680,679,669,668,657,656,593,589,586,582,580,576,573,569,566,562,560,556,553,552,540,537,522,516,515,512,511,464,463,459,457,444,443,437,435,421,420,419,418,400,398,396,394,392,369,367,364,361,358,355,341,338,336,334,332,315,289,288,287,286,285,284,283,282,281,280,279,278,272,271,270,269,266,265,264,263,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,153,152,151,150,149,148,147,146,66,21]) ).
thf(1326,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1325]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEV242^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 10:35:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.34 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)..eprover: CPU time limit exceeded, terminating
% 25.15/25.39 ...eprover: CPU time limit exceeded, terminating
% 50.71/50.95 ...
% 50.89/51.12
% 50.89/51.12 Prim_subst applied to clause
% 50.89/51.12
% 50.89/51.12 523:[ 0:<SV54 = SV53 = $true>-w(1)-i() 1:<SV53@((sK4_X@SV53)@SV54) = $true>-w(1)-i() 2:<SV54@((sK4_X@SV53)@SV54) = $true>-w(1)-i() ]-mln(3)-w(3)-i(rename 31)-o(AXIOM)-fv([ SV53 SV54 ])
% 50.89/51.15 .
% 50.89/51.15
% 50.89/51.15 Prim_subst applied to clause
% 50.89/51.15
% 50.89/51.15 523:[ 0:<SV54 = SV53 = $true>-w(1)-i() 1:<SV53@((sK4_X@SV53)@SV54) = $true>-w(1)-i() 2:<SV54@((sK4_X@SV53)@SV54) = $true>-w(1)-i() ]-mln(3)-w(3)-i(rename 31)-o(AXIOM)-fv([ SV53 SV54 ])
% 51.56/51.82 ......................
% 86.20/86.42 (rf:0,axioms:0,ps:2,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)..eprover: CPU time limit exceeded, terminating
% 111.16/111.46 ...eprover: CPU time limit exceeded, terminating
% 136.71/136.96 ...
% 136.87/137.10
% 136.87/137.10 Prim_subst applied to clause
% 136.87/137.10
% 136.87/137.10 522:[ 0:<SV54 = SV53 = $true>-w(1)-i() 1:<SV53@((sK4_X@SV53)@SV54) = $true>-w(1)-i() 2:<SV54@((sK4_X@SV53)@SV54) = $true>-w(1)-i() ]-mln(3)-w(3)-i(rename 30)-o(AXIOM)-fv([ SV53 SV54 ])
% 136.87/137.12
% 136.87/137.12 Prim_subst applied to clause
% 136.87/137.12
% 136.87/137.12 522:[ 0:<SV54 = SV53 = $true>-w(1)-i() 1:<SV53@((sK4_X@SV53)@SV54) = $true>-w(1)-i() 2:<SV54@((sK4_X@SV53)@SV54) = $true>-w(1)-i() ]-mln(3)-w(3)-i(rename 30)-o(AXIOM)-fv([ SV53 SV54 ])
% 136.87/137.14 ..
% 137.16/137.44
% 137.16/137.44 Prim_subst applied to clause
% 137.16/137.44
% 137.16/137.44 689:[ 0:<SV138 = SV137 = $true>-w(1)-i() 1:<SV138@((sK4_X@SV137)@SV138) = $false>-w(1)-i() 2:<SV137@((sK4_X@SV137)@SV138) = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 34)-o(AXIOM)-fv([ SV137 SV138 ])
% 137.16/137.47 .
% 137.16/137.47
% 137.16/137.47 Prim_subst applied to clause
% 137.16/137.47
% 137.16/137.47 689:[ 0:<SV138 = SV137 = $true>-w(1)-i() 1:<SV138@((sK4_X@SV137)@SV138) = $false>-w(1)-i() 2:<SV137@((sK4_X@SV137)@SV138) = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 34)-o(AXIOM)-fv([ SV137 SV138 ])
% 137.30/137.53 ..
% 137.61/137.88
% 137.61/137.88 Prim_subst applied to clause
% 137.61/137.88
% 137.61/137.88 828:[ 0:<(SV235@SV234) = (SV233@SV234) = $true>-w(1)-i() 1:<SV233@((sK4_X@SV233)@SV235) = $true>-w(1)-i() 2:<SV235@((sK4_X@SV233)@SV235) = $true>-w(1)-i() ]-mln(3)-w(3)-i(rename 36)-o(AXIOM)-fv([ SV233 SV234 SV235 ])
% 137.61/137.90
% 137.61/137.90 Prim_subst applied to clause
% 137.61/137.90
% 137.61/137.90 828:[ 0:<(SV235@SV234) = (SV233@SV234) = $true>-w(1)-i() 1:<SV233@((sK4_X@SV233)@SV235) = $true>-w(1)-i() 2:<SV235@((sK4_X@SV233)@SV235) = $true>-w(1)-i() ]-mln(3)-w(3)-i(rename 36)-o(AXIOM)-fv([ SV233 SV234 SV235 ])
% 137.69/137.94 ..
% 138.20/138.51
% 138.20/138.51 Prim_subst applied to clause
% 138.20/138.51
% 138.20/138.51 980:[ 0:<(SV306@SV305) = (SV304@SV305) = $true>-w(1)-i() 1:<SV306@((sK4_X@SV304)@SV306) = $false>-w(1)-i() 2:<SV304@((sK4_X@SV304)@SV306) = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 40)-o(AXIOM)-fv([ SV304 SV305 SV306 ])
% 138.29/138.55
% 138.29/138.55 Prim_subst applied to clause
% 138.29/138.55
% 138.29/138.55 980:[ 0:<(SV306@SV305) = (SV304@SV305) = $true>-w(1)-i() 1:<SV306@((sK4_X@SV304)@SV306) = $false>-w(1)-i() 2:<SV304@((sK4_X@SV304)@SV306) = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 40)-o(AXIOM)-fv([ SV304 SV305 SV306 ])
% 138.46/138.69 ..
% 139.28/139.54
% 139.28/139.54 Prim_subst applied to clause
% 139.28/139.54
% 139.28/139.54 1114:[ 0:<SV409@SV408 = $true>-w(1)-i() 1:<SV407@SV408 = $false>-w(1)-i() 2:<SV409@((sK4_X@SV409)@SV407) = $true>-w(1)-i() 3:<SV407@((sK4_X@SV409)@SV407) = $true>-w(1)-i() ]-mln(4)-w(4)-i(rename 57)-o(AXIOM)-fv([ SV407 SV408 SV409 ])
% 139.36/139.61
% 139.36/139.61 Prim_subst applied to clause
% 139.36/139.61
% 139.36/139.61 1114:[ 0:<SV409@SV408 = $true>-w(1)-i() 1:<SV407@SV408 = $false>-w(1)-i() 2:<SV409@((sK4_X@SV409)@SV407) = $true>-w(1)-i() 3:<SV407@((sK4_X@SV409)@SV407) = $true>-w(1)-i() ]-mln(4)-w(4)-i(rename 57)-o(AXIOM)-fv([ SV407 SV408 SV409 ])
% 139.36/139.67
% 139.36/139.67 Prim_subst applied to clause
% 139.36/139.67
% 139.36/139.67 1114:[ 0:<SV409@SV408 = $true>-w(1)-i() 1:<SV407@SV408 = $false>-w(1)-i() 2:<SV409@((sK4_X@SV409)@SV407) = $true>-w(1)-i() 3:<SV407@((sK4_X@SV409)@SV407) = $true>-w(1)-i() ]-mln(4)-w(4)-i(rename 57)-o(AXIOM)-fv([ SV407 SV408 SV409 ])
% 139.50/139.75
% 139.50/139.75 Prim_subst applied to clause
% 139.50/139.75
% 139.50/139.75 1114:[ 0:<SV409@SV408 = $true>-w(1)-i() 1:<SV407@SV408 = $false>-w(1)-i() 2:<SV409@((sK4_X@SV409)@SV407) = $true>-w(1)-i() 3:<SV407@((sK4_X@SV409)@SV407) = $true>-w(1)-i() ]-mln(4)-w(4)-i(rename 57)-o(AXIOM)-fv([ SV407 SV408 SV409 ])
% 139.58/139.84 ..
% 141.01/141.30
% 141.01/141.30 Prim_subst applied to clause
% 141.01/141.30
% 141.01/141.30 1173:[ 0:<SV564@SV563 = $true>-w(1)-i() 1:<SV562@SV563 = $false>-w(1)-i() 2:<SV562@((sK4_X@SV562)@SV564) = $true>-w(1)-i() 3:<SV564@((sK4_X@SV562)@SV564) = $true>-w(1)-i() ]-mln(4)-w(4)-i(rename 58)-o(AXIOM)-fv([ SV562 SV563 SV564 ])
% 141.16/141.39
% 141.16/141.39 Prim_subst applied to clause
% 141.16/141.39
% 141.16/141.39 1173:[ 0:<SV564@SV563 = $true>-w(1)-i() 1:<SV562@SV563 = $false>-w(1)-i() 2:<SV562@((sK4_X@SV562)@SV564) = $true>-w(1)-i() 3:<SV564@((sK4_X@SV562)@SV564) = $true>-w(1)-i() ]-mln(4)-w(4)-i(rename 58)-o(AXIOM)-fv([ SV562 SV563 SV564 ])
% 141.16/141.46
% 141.16/141.46 Prim_subst applied to clause
% 141.16/141.46
% 141.16/141.46 1173:[ 0:<SV564@SV563 = $true>-w(1)-i() 1:<SV562@SV563 = $false>-w(1)-i() 2:<SV562@((sK4_X@SV562)@SV564) = $true>-w(1)-i() 3:<SV564@((sK4_X@SV562)@SV564) = $true>-w(1)-i() ]-mln(4)-w(4)-i(rename 58)-o(AXIOM)-fv([ SV562 SV563 SV564 ])
% 141.30/141.54 .
% 141.30/141.54
% 141.30/141.54 Prim_subst applied to clause
% 141.30/141.54
% 141.30/141.54 1173:[ 0:<SV564@SV563 = $true>-w(1)-i() 1:<SV562@SV563 = $false>-w(1)-i() 2:<SV562@((sK4_X@SV562)@SV564) = $true>-w(1)-i() 3:<SV564@((sK4_X@SV562)@SV564) = $true>-w(1)-i() ]-mln(4)-w(4)-i(rename 58)-o(AXIOM)-fv([ SV562 SV563 SV564 ])
% 141.45/141.75 ..
% 143.48/143.71
% 143.48/143.71 Prim_subst applied to clause
% 143.48/143.71
% 143.48/143.71 1238:[ 0:<SV719@SV718 = $true>-w(1)-i() 1:<SV717@SV718 = $false>-w(1)-i() 2:<SV717@((sK4_X@SV719)@SV717) = $false>-w(1)-i() 3:<SV719@((sK4_X@SV719)@SV717) = $false>-w(1)-i() ]-mln(4)-w(4)-i(rename 65)-o(AXIOM)-fv([ SV717 SV718 SV719 ])
% 143.51/143.80
% 143.51/143.80 Prim_subst applied to clause
% 143.51/143.80
% 143.51/143.80 1238:[ 0:<SV719@SV718 = $true>-w(1)-i() 1:<SV717@SV718 = $false>-w(1)-i() 2:<SV717@((sK4_X@SV719)@SV717) = $false>-w(1)-i() 3:<SV719@((sK4_X@SV719)@SV717) = $false>-w(1)-i() ]-mln(4)-w(4)-i(rename 65)-o(AXIOM)-fv([ SV717 SV718 SV719 ])
% 143.66/143.90
% 143.66/143.90 Prim_subst applied to clause
% 143.66/143.90
% 143.66/143.90 1238:[ 0:<SV719@SV718 = $true>-w(1)-i() 1:<SV717@SV718 = $false>-w(1)-i() 2:<SV717@((sK4_X@SV719)@SV717) = $false>-w(1)-i() 3:<SV719@((sK4_X@SV719)@SV717) = $false>-w(1)-i() ]-mln(4)-w(4)-i(rename 65)-o(AXIOM)-fv([ SV717 SV718 SV719 ])
% 143.74/144.01
% 143.74/144.01 Prim_subst applied to clause
% 143.74/144.01
% 143.74/144.01 1238:[ 0:<SV719@SV718 = $true>-w(1)-i() 1:<SV717@SV718 = $false>-w(1)-i() 2:<SV717@((sK4_X@SV719)@SV717) = $false>-w(1)-i() 3:<SV719@((sK4_X@SV719)@SV717) = $false>-w(1)-i() ]-mln(4)-w(4)-i(rename 65)-o(AXIOM)-fv([ SV717 SV718 SV719 ])
% 143.90/144.13 ..
% 146.28/146.63
% 146.28/146.63 ********************************
% 146.28/146.63 * All subproblems solved! *
% 146.28/146.63 ********************************
% 146.28/146.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:2,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:9,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1325,loop_count:10,foatp_calls:3,translation:fof_full)
% 146.75/146.97
% 146.75/146.97 %**** Beginning of derivation protocol ****
% 146.75/146.97 % SZS output start CNFRefutation
% See solution above
% 146.75/146.98
% 146.75/146.98 %**** End of derivation protocol ****
% 146.75/146.98 %**** no. of clauses in derivation: 812 ****
% 146.75/146.98 %**** clause counter: 1325 ****
% 146.75/146.98
% 146.75/146.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:2,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:9,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1325,loop_count:10,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------