%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEV083^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:49:30 AM UTC 2026
% Result : Theorem 1.05s 0.41s
% Output : CNFRefutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 1
% Syntax : Number of formulae : 277 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 4335 (1795 equ; 0 cnn)
% Maximal formula atoms : 6 ( 15 avg)
% Number of connectives : 2633 ( 372 ~; 972 |; 21 &;1262 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1229 (1229 >; 0 *; 0 +; 0 <<)
% Number of symbols : 87 ( 84 usr; 82 con; 0-2 aty)
% Number of variables : 1534 (1208 ^; 320 !; 6 ?;1534 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK10_SV32,type,
sK10_SV32: $i ).
thf(tp_sK11_SV38,type,
sK11_SV38: $i ).
thf(tp_sK12_SV40,type,
sK12_SV40: $i ).
thf(tp_sK13_SV42,type,
sK13_SV42: $i ).
thf(tp_sK14_SV44,type,
sK14_SV44: $i ).
thf(tp_sK15_SV49,type,
sK15_SV49: $i ).
thf(tp_sK16_SV50,type,
sK16_SV50: $i ).
thf(tp_sK17_SV51,type,
sK17_SV51: $i ).
thf(tp_sK18_SV52,type,
sK18_SV52: $i ).
thf(tp_sK19_SV53,type,
sK19_SV53: $i ).
thf(tp_sK1_SY9,type,
sK1_SY9: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK20_SV54,type,
sK20_SV54: $i ).
thf(tp_sK21_SV55,type,
sK21_SV55: $i ).
thf(tp_sK22_SV56,type,
sK22_SV56: $i ).
thf(tp_sK23_SV77,type,
sK23_SV77: $i ).
thf(tp_sK24_SV82,type,
sK24_SV82: $i ).
thf(tp_sK25_SV87,type,
sK25_SV87: $i ).
thf(tp_sK26_SV92,type,
sK26_SV92: $i ).
thf(tp_sK27_E,type,
sK27_E: $i ).
thf(tp_sK28_E,type,
sK28_E: $i ).
thf(tp_sK29_E,type,
sK29_E: $i ).
thf(tp_sK2_SY10,type,
sK2_SY10: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK30_E,type,
sK30_E: $i ).
thf(tp_sK31_E,type,
sK31_E: $i ).
thf(tp_sK32_E,type,
sK32_E: $i ).
thf(tp_sK33_E,type,
sK33_E: $i ).
thf(tp_sK34_E,type,
sK34_E: $i ).
thf(tp_sK35_E,type,
sK35_E: $i ).
thf(tp_sK36_E,type,
sK36_E: $i ).
thf(tp_sK37_E,type,
sK37_E: $i ).
thf(tp_sK38_E,type,
sK38_E: $i ).
thf(tp_sK39_E,type,
sK39_E: $i ).
thf(tp_sK3_SY13,type,
sK3_SY13: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK40_E,type,
sK40_E: $i ).
thf(tp_sK41_E,type,
sK41_E: $i ).
thf(tp_sK42_E,type,
sK42_E: $i ).
thf(tp_sK43_E,type,
sK43_E: $i ).
thf(tp_sK44_E,type,
sK44_E: $i ).
thf(tp_sK45_E,type,
sK45_E: $i ).
thf(tp_sK46_E,type,
sK46_E: $i ).
thf(tp_sK47_E,type,
sK47_E: $i ).
thf(tp_sK48_E,type,
sK48_E: $i ).
thf(tp_sK49_E,type,
sK49_E: $i ).
thf(tp_sK4_SY15,type,
sK4_SY15: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK50_E,type,
sK50_E: $i ).
thf(tp_sK51_E,type,
sK51_E: $i ).
thf(tp_sK52_E,type,
sK52_E: $i ).
thf(tp_sK53_E,type,
sK53_E: $i ).
thf(tp_sK54_E,type,
sK54_E: $i ).
thf(tp_sK55_E,type,
sK55_E: $i ).
thf(tp_sK56_E,type,
sK56_E: $i ).
thf(tp_sK57_E,type,
sK57_E: $i ).
thf(tp_sK58_E,type,
sK58_E: $i ).
thf(tp_sK59_E,type,
sK59_E: $i ).
thf(tp_sK5_SV15,type,
sK5_SV15: $i ).
thf(tp_sK60_E,type,
sK60_E: $i ).
thf(tp_sK61_E,type,
sK61_E: $i ).
thf(tp_sK62_E,type,
sK62_E: $i ).
thf(tp_sK63_E,type,
sK63_E: $i ).
thf(tp_sK64_E,type,
sK64_E: $i ).
thf(tp_sK65_E,type,
sK65_E: $i ).
thf(tp_sK66_E,type,
sK66_E: $i ).
thf(tp_sK67_E,type,
sK67_E: $i ).
thf(tp_sK68_E,type,
sK68_E: $i ).
thf(tp_sK69_E,type,
sK69_E: $i ).
thf(tp_sK6_SV16,type,
sK6_SV16: $i ).
thf(tp_sK70_E,type,
sK70_E: $i ).
thf(tp_sK71_E,type,
sK71_E: $i ).
thf(tp_sK72_E,type,
sK72_E: $i ).
thf(tp_sK73_E,type,
sK73_E: $i ).
thf(tp_sK74_E,type,
sK74_E: $i ).
thf(tp_sK75_E,type,
sK75_E: $i ).
thf(tp_sK76_E,type,
sK76_E: $i ).
thf(tp_sK77_E,type,
sK77_E: $i ).
thf(tp_sK78_E,type,
sK78_E: $i ).
thf(tp_sK79_E,type,
sK79_E: $i ).
thf(tp_sK7_SV23,type,
sK7_SV23: $i ).
thf(tp_sK80_E,type,
sK80_E: $i ).
thf(tp_sK81_E,type,
sK81_E: $i ).
thf(tp_sK82_E,type,
sK82_E: $i ).
thf(tp_sK83_E,type,
sK83_E: $i ).
thf(tp_sK84_E,type,
sK84_E: $i ).
thf(tp_sK8_SV26,type,
sK8_SV26: $i ).
thf(tp_sK9_SV29,type,
sK9_SV29: $i ).
thf(1,conjecture,
( ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) )
& $true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM120_3_pme) ).
thf(2,negated_conjecture,
( ( ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) )
& $true )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) )
& $true )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(5,plain,
$true = $false,
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(6,plain,
( ( ~ ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ~ $true ) = $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(8,plain,
( ( ~ ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(9,plain,
( ( ~ ~ ! [SX0: ( $i > $o ) > ( $i > $o ) > $o] :
~ ~ ( ~ ~ ( ~ ~ ( SX0
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SX1: $i > $o] : ( SX0 @ SX1 @ SX1 ) )
| ~ ! [SX1: $i > $o,SX2: $i > $o,SX3: $i > $o] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(10,plain,
( ( ~ ! [SX0: ( $i > $o ) > ( $i > $o ) > $o] :
~ ~ ( ~ ~ ( ~ ~ ( SX0
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SX1: $i > $o] : ( SX0 @ SX1 @ SX1 ) )
| ~ ! [SX1: $i > $o,SX2: $i > $o,SX3: $i > $o] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [SX0: ( $i > $o ) > ( $i > $o ) > $o] :
~ ~ ( ~ ~ ( ~ ~ ( SX0
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SX1: $i > $o] : ( SX0 @ SX1 @ SX1 ) )
| ~ ! [SX1: $i > $o,SX2: $i > $o,SX3: $i > $o] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[10]) ).
thf(12,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) )
| ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(13,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ~ ( ~ ~ ( ~ ~ ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) )
| ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(14,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ~ ~ ( ~ ~ ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) )
| ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(15,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ~ ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) ) )
= $true )
| ( ( ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[14]) ).
thf(16,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ~ ~ ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) ) )
= $false )
| ( ( ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(17,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) )
= $true )
| ( ( ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(18,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) )
= $true )
| ( ( ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(19,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ~ ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) )
= $true )
| ( ( ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(20,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( ~ ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) )
= $true )
| ( ( ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(21,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SY9: $i > $o] : ( SV1 @ SY9 @ SY9 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(22,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( ~ ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[21]) ).
thf(23,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SY10: $i > $o,SY11: $i > $o,SY12: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY10 @ SY11 )
| ~ ( SV1 @ SY11 @ SY12 ) )
| ( SV1 @ SY10 @ SY12 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(24,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SY13: $i > $o,SY14: $i > $o] :
( ~ ~ ( ~ ( SV1 @ ( sK2_SY10 @ SV1 ) @ SY13 )
| ~ ( SV1 @ SY13 @ SY14 ) )
| ( SV1 @ ( sK2_SY10 @ SV1 ) @ SY14 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[23]) ).
thf(25,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SY15: $i > $o] :
( ~ ~ ( ~ ( SV1 @ ( sK2_SY10 @ SV1 ) @ ( sK3_SY13 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY13 @ SV1 ) @ SY15 ) )
| ( SV1 @ ( sK2_SY10 @ SV1 ) @ SY15 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[24]) ).
thf(26,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK2_SY10 @ SV1 ) @ ( sK3_SY13 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY13 @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) )
| ( SV1 @ ( sK2_SY10 @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[25]) ).
thf(27,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK2_SY10 @ SV1 ) @ ( sK3_SY13 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY13 @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(28,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK2_SY10 @ SV1 ) @ ( sK4_SY15 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(29,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK2_SY10 @ SV1 ) @ ( sK3_SY13 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY13 @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) ) )
= $true )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(30,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK2_SY10 @ SV1 ) @ ( sK3_SY13 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY13 @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(31,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK2_SY10 @ SV1 ) @ ( sK3_SY13 @ SV1 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(32,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK3_SY13 @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(33,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK2_SY10 @ SV1 ) @ ( sK3_SY13 @ SV1 ) )
= $true )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(34,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK3_SY13 @ SV1 ) @ ( sK4_SY15 @ SV1 ) )
= $true )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY9 @ SV1 ) @ ( sK1_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(35,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK1_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(replace_andrewsEQ,[status(thm)],[28:[bind(SV1,$thf( ^ [SV3: $i > $o] : ^ [SV2: $i > $o] : ( SV3 = SV2 ) ))]]) ).
thf(36,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[35]) ).
thf(37,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK1_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(replace_andrewsEQ,[status(thm)],[33:[bind(SV1,$thf( ^ [SV5: $i > $o] : ^ [SV4: $i > $o] : ( SV5 = SV4 ) ))]]) ).
thf(38,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[37]) ).
thf(39,plain,
( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK1_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(replace_andrewsEQ,[status(thm)],[34:[bind(SV1,$thf( ^ [SV7: $i > $o] : ^ [SV6: $i > $o] : ( SV7 = SV6 ) ))]]) ).
thf(40,plain,
( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[39]) ).
thf(41,plain,
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[38]) ).
thf(42,plain,
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[40]) ).
thf(43,plain,
! [SV8: $i] :
( ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[41]) ).
thf(44,plain,
! [SV9: $i] :
( ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[42]) ).
thf(45,plain,
! [SV10: $i] :
( ( ( $true = $false )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[36]) ).
thf(46,plain,
! [SV11: $i,SV12: $i] :
( ( ( $true = $false )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[38]) ).
thf(47,plain,
! [SV13: $i,SV14: $i] :
( ( ( $true = $false )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[40]) ).
thf(49,plain,
! [SV8: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[43]) ).
thf(51,plain,
! [SV9: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[44]) ).
thf(53,plain,
! [SV10: $i] :
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[45]) ).
thf(55,plain,
! [SV11: $i,SV12: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[46]) ).
thf(57,plain,
! [SV13: $i,SV14: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[47]) ).
thf(58,plain,
( ( ( ~ ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) ) )
| ~ ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
!= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] : $true )
!= ( ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[49]) ).
thf(59,plain,
( ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) ) )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[49]) ).
thf(62,plain,
( ( ( ~ ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) ) )
| ~ ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
!= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] : $true )
!= ( ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[51]) ).
thf(63,plain,
( ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) ) )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[51]) ).
thf(66,plain,
( ( ( ! [SV15: $i] :
( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV15 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV15 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[53]) ).
thf(67,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[53]) ).
thf(70,plain,
( ( ( ~ ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(74,plain,
( ( ( ~ ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(78,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) )
= $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_forall_neg,[status(esa)],[66]) ).
thf(80,plain,
( ( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(84,plain,
( ( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(88,plain,
( ( ( ~ ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
| ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) )
| ~ ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[78]) ).
thf(92,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(96,plain,
( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(100,plain,
( ( ( ~ ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
| ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(101,plain,
( ( ( ~ ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(104,plain,
( ( ( ! [SV17: $i] :
( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[92]) ).
thf(105,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[92]) ).
thf(110,plain,
( ( ( ! [SV19: $i] :
( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV19 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV19 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[96]) ).
thf(111,plain,
( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[96]) ).
thf(116,plain,
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
| ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(117,plain,
( ( ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(120,plain,
! [SV21: $i] :
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(121,plain,
( ( ( ! [SV22: $i] : ( $true = $false ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[105]) ).
thf(122,plain,
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[105]) ).
thf(130,plain,
! [SV27: $i] :
( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(131,plain,
( ( ( ! [SV28: $i] : ( $true = $false ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[111]) ).
thf(132,plain,
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[111]) ).
thf(140,plain,
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(141,plain,
( ( ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) )
= $true )
| ( ( ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(144,plain,
! [SV21: $i] :
( ( ( ~ ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
| ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
| ~ ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[120]) ).
thf(145,plain,
! [SV21: $i] :
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[120]) ).
thf(146,plain,
( ( ( $true = $false )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(154,plain,
! [SV27: $i] :
( ( ( ~ ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
| ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
| ~ ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[130]) ).
thf(155,plain,
! [SV27: $i] :
( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[130]) ).
thf(156,plain,
( ( ( $true = $false )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(164,plain,
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(166,plain,
! [SV21: $i] :
( ( ( ~ ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
| ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(167,plain,
! [SV21: $i] :
( ( ( ! [SV37: $i] : ( $true = $false ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[145]) ).
thf(168,plain,
! [SV21: $i] :
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[145]) ).
thf(169,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[146]) ).
thf(170,plain,
( ( ( $true = $false )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[146]) ).
thf(184,plain,
! [SV27: $i] :
( ( ( ~ ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
| ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(185,plain,
! [SV27: $i] :
( ( ( ! [SV41: $i] : ( $true = $false ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[155]) ).
thf(186,plain,
! [SV27: $i] :
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[155]) ).
thf(187,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[156]) ).
thf(188,plain,
( ( ( $true = $false )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[156]) ).
thf(202,plain,
( ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(204,plain,
! [SV21: $i] :
( ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
| ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(205,plain,
! [SV21: $i] :
( ( ( $true = $false )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(206,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(218,plain,
! [SV27: $i] :
( ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
| ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(219,plain,
! [SV27: $i] :
( ( ( $true = $false )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(220,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(232,plain,
! [SV21: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( ~ ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(233,plain,
! [SV21: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( ~ ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(234,plain,
! [SV21: $i] :
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[205]) ).
thf(235,plain,
! [SV21: $i] :
( ( ( $true = $false )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[205]) ).
thf(236,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(254,plain,
! [SV27: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( ~ ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(255,plain,
! [SV27: $i] :
( ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( ~ ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(256,plain,
! [SV27: $i] :
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[219]) ).
thf(257,plain,
! [SV27: $i] :
( ( ( $true = $false )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[219]) ).
thf(258,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(276,plain,
! [SV21: $i] :
( ( ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(277,plain,
! [SV21: $i] :
( ( ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
| ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(278,plain,
! [SV21: $i] :
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(279,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(296,plain,
! [SV27: $i] :
( ( ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(297,plain,
! [SV27: $i] :
( ( ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
| ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(298,plain,
! [SV27: $i] :
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(299,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(317,plain,
! [SV21: $i] :
( ( ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(318,plain,
! [SV21: $i] :
( ( ( ~ ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[277]) ).
thf(320,plain,
! [SV21: $i] :
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(321,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(343,plain,
! [SV27: $i] :
( ( ( ~ ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(344,plain,
! [SV27: $i] :
( ( ( ~ ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(346,plain,
! [SV27: $i] :
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(347,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(369,plain,
! [SV21: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(370,plain,
! [SV21: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(372,plain,
! [SV21: $i] :
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[320]) ).
thf(375,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(403,plain,
! [SV27: $i] :
( ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(404,plain,
! [SV27: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(406,plain,
! [SV27: $i] :
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(409,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[347]) ).
thf(438,plain,
! [SV21: $i] :
( ( ( ! [SV58: $i] : ( $true = $false ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[369]) ).
thf(439,plain,
! [SV21: $i] :
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[369]) ).
thf(440,plain,
! [SV21: $i] :
( ( ( ! [SV59: $i] : ( $true = $false ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[370]) ).
thf(441,plain,
! [SV21: $i] :
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[370]) ).
thf(444,plain,
! [SV21: $i] :
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(447,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[375]) ).
thf(476,plain,
! [SV27: $i] :
( ( ( ! [SV66: $i] : ( $true = $false ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[403]) ).
thf(477,plain,
! [SV27: $i] :
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[403]) ).
thf(478,plain,
! [SV27: $i] :
( ( ( ! [SV67: $i] : ( $true = $false ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[404]) ).
thf(479,plain,
! [SV27: $i] :
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[404]) ).
thf(482,plain,
! [SV27: $i] :
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(485,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[409]) ).
thf(513,plain,
! [SV21: $i] :
( ( ( $true = $false )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(514,plain,
! [SV21: $i] :
( ( ( $true = $false )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(517,plain,
! [SV21: $i] :
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(543,plain,
! [SV27: $i] :
( ( ( $true = $false )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(544,plain,
! [SV27: $i] :
( ( ( $true = $false )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(547,plain,
! [SV27: $i] :
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(574,plain,
! [SV21: $i] :
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[513]) ).
thf(575,plain,
! [SV21: $i] :
( ( ( $true = $false )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[513]) ).
thf(576,plain,
! [SV21: $i] :
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[514]) ).
thf(577,plain,
! [SV21: $i] :
( ( ( $true = $false )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[514]) ).
thf(581,plain,
! [SV21: $i] :
( ( $false = $true )
| ( $true = $false )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[517]) ).
thf(606,plain,
! [SV27: $i] :
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[543]) ).
thf(607,plain,
! [SV27: $i] :
( ( ( $true = $false )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[543]) ).
thf(608,plain,
! [SV27: $i] :
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[544]) ).
thf(609,plain,
! [SV27: $i] :
( ( ( $true = $false )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[544]) ).
thf(613,plain,
! [SV27: $i] :
( ( $false = $true )
| ( $true = $false )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(637,plain,
! [SV21: $i] :
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_pos,[status(thm)],[574]) ).
thf(638,plain,
! [SV21: $i] :
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(655,plain,
! [SV27: $i] :
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(656,plain,
! [SV27: $i] :
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(673,plain,
! [SV21: $i] :
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(674,plain,
! [SV21: $i] :
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(689,plain,
! [SV27: $i] :
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(690,plain,
! [SV27: $i] :
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(706,plain,
! [SV21: $i] :
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(708,plain,
! [SV21: $i] :
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[674]) ).
thf(728,plain,
! [SV27: $i] :
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[689]) ).
thf(730,plain,
! [SV27: $i] :
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[690]) ).
thf(750,plain,
! [SV21: $i] :
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(752,plain,
! [SV21: $i] :
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(772,plain,
! [SV27: $i] :
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(774,plain,
! [SV27: $i] :
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(797,plain,
! [SV21: $i] :
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[750]) ).
thf(801,plain,
! [SV21: $i] :
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[752]) ).
thf(831,plain,
! [SV27: $i] :
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(835,plain,
! [SV27: $i] :
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[774]) ).
thf(865,plain,
! [SV21: $i] :
( ( $false = $true )
| ( $true = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[797]) ).
thf(869,plain,
! [SV21: $i] :
( ( $false = $true )
| ( $true = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[801]) ).
thf(899,plain,
! [SV27: $i] :
( ( $false = $true )
| ( $true = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[831]) ).
thf(903,plain,
! [SV27: $i] :
( ( $false = $true )
| ( $true = $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[835]) ).
thf(929,plain,
! [SV21: $i,SV94: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[439]) ).
thf(930,plain,
! [SV21: $i,SV95: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[441]) ).
thf(932,plain,
! [SV21: $i,SV97: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[168]) ).
thf(934,plain,
! [SV99: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV99 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV99 ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[447]) ).
thf(937,plain,
! [SV102: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV102 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV102 ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[170]) ).
thf(938,plain,
! [SV103: $i,SV104: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV103 )
= ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV103 ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[122]) ).
thf(951,plain,
! [SV27: $i,SV118: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[477]) ).
thf(952,plain,
! [SV27: $i,SV119: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[479]) ).
thf(954,plain,
! [SV27: $i,SV121: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[186]) ).
thf(956,plain,
! [SV123: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV123 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV123 ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[485]) ).
thf(959,plain,
! [SV126: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV126 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV126 ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[188]) ).
thf(960,plain,
! [SV127: $i,SV128: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV127 )
= ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV127 ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[132]) ).
thf(977,plain,
! [SV21: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[575]) ).
thf(979,plain,
! [SV21: $i,SV94: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[929]) ).
thf(981,plain,
! [SV21: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[577]) ).
thf(983,plain,
! [SV21: $i,SV95: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[930]) ).
thf(990,plain,
! [SV21: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[581]) ).
thf(991,plain,
! [SV21: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[581]) ).
thf(997,plain,
! [SV21: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[235]) ).
thf(999,plain,
! [SV21: $i,SV97: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[932]) ).
thf(1002,plain,
! [SV99: $i] :
( ( $false = $true )
| ( $true = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV99 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV99 )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[934]) ).
thf(1003,plain,
! [SV99: $i] :
( ( $false = $true )
| ( $true = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV99 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV99 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[934]) ).
thf(1009,plain,
! [SV102: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV102 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV102 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[937]) ).
thf(1011,plain,
! [SV103: $i,SV104: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV103 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV103 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[938]) ).
thf(1057,plain,
! [SV27: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[607]) ).
thf(1059,plain,
! [SV27: $i,SV118: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[951]) ).
thf(1061,plain,
! [SV27: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[609]) ).
thf(1063,plain,
! [SV27: $i,SV119: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[952]) ).
thf(1070,plain,
! [SV27: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[613]) ).
thf(1071,plain,
! [SV27: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[613]) ).
thf(1077,plain,
! [SV27: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[257]) ).
thf(1079,plain,
! [SV27: $i,SV121: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[954]) ).
thf(1082,plain,
! [SV123: $i] :
( ( $false = $true )
| ( $true = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV123 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV123 )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[956]) ).
thf(1083,plain,
! [SV123: $i] :
( ( $false = $true )
| ( $true = $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV123 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV123 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[956]) ).
thf(1089,plain,
! [SV126: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV126 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV126 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[959]) ).
thf(1091,plain,
! [SV127: $i,SV128: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV127 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV127 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[960]) ).
thf(1146,plain,
( ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK37_E )
= $true )
| ( $false = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK35_E )
= $false )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[59]) ).
thf(1150,plain,
( ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_E )
= $true )
| ( $false = $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_E )
= $false )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[59]) ).
thf(1186,plain,
( ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK65_E )
= $true )
| ( $false = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK63_E )
= $false )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[63]) ).
thf(1190,plain,
( ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK68_E )
= $true )
| ( $false = $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK66_E )
= $false )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[63]) ).
thf(1212,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $true ) ),
inference(extuni,[status(esa)],[67]) ).
thf(1213,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $false ) ),
inference(extuni,[status(esa)],[67]) ).
thf(1216,plain,
! [SV21: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true ) ),
inference(sim,[status(thm)],[865]) ).
thf(1217,plain,
! [SV21: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false ) ),
inference(sim,[status(thm)],[977]) ).
thf(1218,plain,
! [SV21: $i,SV94: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true ) ),
inference(sim,[status(thm)],[979]) ).
thf(1219,plain,
! [SV21: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true ) ),
inference(sim,[status(thm)],[869]) ).
thf(1220,plain,
! [SV21: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false ) ),
inference(sim,[status(thm)],[981]) ).
thf(1221,plain,
! [SV21: $i,SV95: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true ) ),
inference(sim,[status(thm)],[983]) ).
thf(1222,plain,
! [SV21: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true ) ),
inference(sim,[status(thm)],[991]) ).
thf(1223,plain,
! [SV21: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false ) ),
inference(sim,[status(thm)],[990]) ).
thf(1224,plain,
! [SV21: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true ) ),
inference(sim,[status(thm)],[997]) ).
thf(1225,plain,
! [SV21: $i,SV97: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV21 )
= $true ) ),
inference(sim,[status(thm)],[999]) ).
thf(1226,plain,
! [SV99: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV99 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV99 )
= $true ) ),
inference(sim,[status(thm)],[1003]) ).
thf(1227,plain,
! [SV99: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV99 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV99 )
= $false ) ),
inference(sim,[status(thm)],[1002]) ).
thf(1228,plain,
! [SV102: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV102 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV102 )
= $true ) ),
inference(sim,[status(thm)],[1009]) ).
thf(1229,plain,
! [SV103: $i,SV104: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV103 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV103 )
= $true ) ),
inference(sim,[status(thm)],[1011]) ).
thf(1230,plain,
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_E )
= $true )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_E )
= $false ) ),
inference(sim,[status(thm)],[1150]) ).
thf(1231,plain,
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK37_E )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK35_E )
= $false ) ),
inference(sim,[status(thm)],[1146]) ).
thf(1232,plain,
! [SV27: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true ) ),
inference(sim,[status(thm)],[899]) ).
thf(1233,plain,
! [SV27: $i] :
( ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false ) ),
inference(sim,[status(thm)],[1057]) ).
thf(1234,plain,
! [SV27: $i,SV118: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true ) ),
inference(sim,[status(thm)],[1059]) ).
thf(1235,plain,
! [SV27: $i] :
( ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true ) ),
inference(sim,[status(thm)],[903]) ).
thf(1236,plain,
! [SV27: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false ) ),
inference(sim,[status(thm)],[1061]) ).
thf(1237,plain,
! [SV27: $i,SV119: $i] :
( ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true ) ),
inference(sim,[status(thm)],[1063]) ).
thf(1238,plain,
! [SV27: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true ) ),
inference(sim,[status(thm)],[1071]) ).
thf(1239,plain,
! [SV27: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false ) ),
inference(sim,[status(thm)],[1070]) ).
thf(1240,plain,
! [SV27: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true ) ),
inference(sim,[status(thm)],[1077]) ).
thf(1241,plain,
! [SV27: $i,SV121: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV27 )
= $true ) ),
inference(sim,[status(thm)],[1079]) ).
thf(1242,plain,
! [SV123: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV123 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV123 )
= $true ) ),
inference(sim,[status(thm)],[1083]) ).
thf(1243,plain,
! [SV123: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV123 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV123 )
= $false ) ),
inference(sim,[status(thm)],[1082]) ).
thf(1244,plain,
! [SV126: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV126 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV126 )
= $true ) ),
inference(sim,[status(thm)],[1089]) ).
thf(1245,plain,
! [SV127: $i,SV128: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV127 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV127 )
= $true ) ),
inference(sim,[status(thm)],[1091]) ).
thf(1246,plain,
( ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK68_E )
= $true )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK66_E )
= $false ) ),
inference(sim,[status(thm)],[1190]) ).
thf(1247,plain,
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK65_E )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK63_E )
= $false ) ),
inference(sim,[status(thm)],[1186]) ).
thf(1248,plain,
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $true ) ),
inference(sim,[status(thm)],[140]) ).
thf(1249,plain,
( ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false )
| ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV15 )
= $false ) ),
inference(sim,[status(thm)],[202]) ).
thf(1250,plain,
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $false ) ),
inference(sim,[status(thm)],[1213]) ).
thf(1251,plain,
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $true )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $true ) ),
inference(sim,[status(thm)],[1212]) ).
thf(1252,plain,
! [SV11: $i,SV12: $i] :
( ( ( sK2_SY10
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $false )
| ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV12 )
= $true ) ),
inference(sim,[status(thm)],[55]) ).
thf(1253,plain,
! [SV13: $i,SV14: $i] :
( ( ( sK3_SY13
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $false )
| ( ( sK4_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV14 )
= $true ) ),
inference(sim,[status(thm)],[57]) ).
thf(1254,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[28,1253,1252,1251,1250,1249,1248,1247,1246,1245,1244,1243,1242,1241,1240,1239,1238,1237,1236,1235,1234,1233,1232,1231,1230,1229,1228,1227,1226,1225,1224,1223,1222,1221,1220,1219,1218,1217,1216,40,38,36,34,33]) ).
thf(1255,plain,
( ( ~ $true ) = $true ),
inference(copy,[status(thm)],[7]) ).
thf(1256,plain,
$true = $false,
inference(extcnf_not_pos,[status(thm)],[1255]) ).
thf(1257,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1256]) ).
thf(1258,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1257,1254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV083^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Oct 6 15:42:24 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.05/0.41
% 1.05/0.41 No.of.Axioms: 0
% 1.05/0.41
% 1.05/0.41 Length.of.Defs: 0
% 1.05/0.41
% 1.05/0.41 Contains.Choice.Funs: false
% 1.05/0.41 ..............
% 1.05/0.41
% 1.05/0.41 ********************************
% 1.05/0.41 * All subproblems solved! *
% 1.05/0.41 ********************************
% 1.05/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:0,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1257,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.05/0.41
% 1.05/0.41 %**** Beginning of derivation protocol ****
% 1.05/0.41 % SZS output start CNFRefutation
% See solution above
% 1.05/0.41
% 1.05/0.41 %**** End of derivation protocol ****
% 1.05/0.41 %**** no. of clauses in derivation: 277 ****
% 1.05/0.41 %**** clause counter: 1257 ****
% 1.05/0.41
% 1.05/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:0,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1257,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------