%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO264^5 : 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 : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:07:57 AM UTC 2026
% Result : Theorem 3.12s 0.73s
% Output : CNFRefutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 1
% Syntax : Number of formulae : 366 ( 57 unt; 0 typ; 0 def)
% Number of atoms : 3743 (1394 equ; 0 cnn)
% Maximal formula atoms : 5 ( 10 avg)
% Number of connectives : 7577 (1581 ~;1910 |; 54 &;4024 @)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 694 ( 694 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 950 ( 236 ^; 698 !; 16 ?; 950 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK10_SY24,type,
sK10_SY24: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK11_SY24,type,
sK11_SY24: ( $i > $o ) > $i ).
thf(tp_sK12_SY24,type,
sK12_SY24: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK1_Xa,type,
sK1_Xa: $i ).
thf(tp_sK2_SY7,type,
sK2_SY7: $i ).
thf(tp_sK3_SY13,type,
sK3_SY13: $i ).
thf(tp_sK4_SY18,type,
sK4_SY18: $i > $o ).
thf(tp_sK5_SY24,type,
sK5_SY24: ( $i > $o ) > $i ).
thf(tp_sK6_SY24,type,
sK6_SY24: ( $i > $o ) > $i ).
thf(tp_sK7_SY24,type,
sK7_SY24: ( $i > $o ) > $i ).
thf(tp_sK8_SY24,type,
sK8_SY24: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK9_SY24,type,
sK9_SY24: ( $i > $o ) > ( $i > $o ) > $i ).
thf(1,conjecture,
! [Xa: $i,Xb: $i,Xc: $i,P: $i > $o] :
? [Xm: $i > $o,Xn: $i > $o] :
( ( ( Xm @ Xa )
| ( Xn @ Xa ) )
& ( ( P @ Xb )
| ( Xn @ Xb ) )
& ( ( Xm @ Xc )
| ~ ( P @ Xc ) )
& ! [Xx: $i] :
( ( Xn @ Xx )
<=> ~ ( P @ Xx ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM125C) ).
thf(2,negated_conjecture,
( ( ! [Xa: $i,Xb: $i,Xc: $i,P: $i > $o] :
? [Xm: $i > $o,Xn: $i > $o] :
( ( ( Xm @ Xa )
| ( Xn @ Xa ) )
& ( ( P @ Xb )
| ( Xn @ Xb ) )
& ( ( Xm @ Xc )
| ~ ( P @ Xc ) )
& ! [Xx: $i] :
( ( Xn @ Xx )
<=> ~ ( P @ Xx ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,P: $i > $o] :
? [Xm: $i > $o,Xn: $i > $o] :
( ( ( Xm @ Xa )
| ( Xn @ Xa ) )
& ( ( P @ Xb )
| ( Xn @ Xb ) )
& ( ( Xm @ Xc )
| ~ ( P @ Xc ) )
& ! [Xx: $i] :
( ( Xn @ Xx )
<=> ~ ( P @ Xx ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY7: $i,SY8: $i,SY9: $i > $o] :
? [SY10: $i > $o,SY11: $i > $o] :
( ( ( SY10 @ sK1_Xa )
| ( SY11 @ sK1_Xa ) )
& ( ( SY9 @ SY7 )
| ( SY11 @ SY7 ) )
& ( ( SY10 @ SY8 )
| ~ ( SY9 @ SY8 ) )
& ! [Xx: $i] :
( ( SY11 @ Xx )
<=> ~ ( SY9 @ Xx ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY13: $i,SY14: $i > $o] :
? [SY15: $i > $o,SY16: $i > $o] :
( ( ( SY15 @ sK1_Xa )
| ( SY16 @ sK1_Xa ) )
& ( ( SY14 @ sK2_SY7 )
| ( SY16 @ sK2_SY7 ) )
& ( ( SY15 @ SY13 )
| ~ ( SY14 @ SY13 ) )
& ! [Xx: $i] :
( ( SY16 @ Xx )
<=> ~ ( SY14 @ Xx ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY18: $i > $o] :
? [SY19: $i > $o,SY20: $i > $o] :
( ( ( SY19 @ sK1_Xa )
| ( SY20 @ sK1_Xa ) )
& ( ( SY18 @ sK2_SY7 )
| ( SY20 @ sK2_SY7 ) )
& ( ( SY19 @ sK3_SY13 )
| ~ ( SY18 @ sK3_SY13 ) )
& ! [Xx: $i] :
( ( SY20 @ Xx )
<=> ~ ( SY18 @ Xx ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ? [SY22: $i > $o,SY23: $i > $o] :
( ( ( SY22 @ sK1_Xa )
| ( SY23 @ sK1_Xa ) )
& ( ( sK4_SY18 @ sK2_SY7 )
| ( SY23 @ sK2_SY7 ) )
& ( ( SY22 @ sK3_SY13 )
| ~ ( sK4_SY18 @ sK3_SY13 ) )
& ! [SY24: $i] :
( ( SY23 @ SY24 )
<=> ~ ( sK4_SY18 @ SY24 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(8,plain,
( ( ~ ? [SY22: $i > $o,SY23: $i > $o] :
( ( ( SY22 @ sK1_Xa )
| ( SY23 @ sK1_Xa ) )
& ( ( sK4_SY18 @ sK2_SY7 )
| ( SY23 @ sK2_SY7 ) )
& ( ( SY22 @ sK3_SY13 )
| ~ ( sK4_SY18 @ sK3_SY13 ) )
& ! [SY24: $i] :
( ( SY23 @ SY24 )
<=> ~ ( sK4_SY18 @ SY24 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY22: $i > $o,SY23: $i > $o] :
( ( ( ~ ( SY23 @ ( sK12_SY24 @ SY23 @ SY22 ) )
| ( sK4_SY18 @ ( sK12_SY24 @ SY23 @ SY22 ) ) )
& ( ( SY23 @ ( sK12_SY24 @ SY23 @ SY22 ) )
| ~ ( sK4_SY18 @ ( sK12_SY24 @ SY23 @ SY22 ) ) ) )
| ~ ( SY22 @ sK1_Xa )
| ~ ( SY23 @ sK2_SY7 )
| ~ ( SY22 @ sK3_SY13 ) )
& ( ! [SY23: $i > $o] :
( ( ~ ( SY23 @ ( sK11_SY24 @ SY23 ) )
| ( sK4_SY18 @ ( sK11_SY24 @ SY23 ) ) )
& ( ( SY23 @ ( sK11_SY24 @ SY23 ) )
| ~ ( sK4_SY18 @ ( sK11_SY24 @ SY23 ) ) ) )
| ! [SY22: $i > $o] :
( ~ ( SY22 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SY22 @ sK3_SY13 ) ) )
& ! [SY22: $i > $o,SY23: $i > $o] :
( ( ( ~ ( SY23 @ ( sK10_SY24 @ SY23 @ SY22 ) )
| ( sK4_SY18 @ ( sK10_SY24 @ SY23 @ SY22 ) ) )
& ( ( SY23 @ ( sK10_SY24 @ SY23 @ SY22 ) )
| ~ ( sK4_SY18 @ ( sK10_SY24 @ SY23 @ SY22 ) ) ) )
| ~ ( SY23 @ sK1_Xa )
| ~ ( SY23 @ sK2_SY7 )
| ~ ( SY22 @ sK3_SY13 ) )
& ! [SY22: $i > $o,SY23: $i > $o] :
( ( ( ~ ( SY23 @ ( sK9_SY24 @ SY23 @ SY22 ) )
| ( sK4_SY18 @ ( sK9_SY24 @ SY23 @ SY22 ) ) )
& ( ( SY23 @ ( sK9_SY24 @ SY23 @ SY22 ) )
| ~ ( sK4_SY18 @ ( sK9_SY24 @ SY23 @ SY22 ) ) ) )
| ~ ( SY23 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SY22 @ sK3_SY13 ) )
& ! [SY22: $i > $o,SY23: $i > $o] :
( ( ( ~ ( SY23 @ ( sK8_SY24 @ SY23 @ SY22 ) )
| ( sK4_SY18 @ ( sK8_SY24 @ SY23 @ SY22 ) ) )
& ( ( SY23 @ ( sK8_SY24 @ SY23 @ SY22 ) )
| ~ ( sK4_SY18 @ ( sK8_SY24 @ SY23 @ SY22 ) ) ) )
| ~ ( SY22 @ sK1_Xa )
| ~ ( SY23 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
& ( ! [SY23: $i > $o] :
( ( ~ ( SY23 @ ( sK7_SY24 @ SY23 ) )
| ( sK4_SY18 @ ( sK7_SY24 @ SY23 ) ) )
& ( ( SY23 @ ( sK7_SY24 @ SY23 ) )
| ~ ( sK4_SY18 @ ( sK7_SY24 @ SY23 ) ) ) )
| ! [SY22: $i > $o] :
~ ( SY22 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
& ! [SY23: $i > $o] :
( ( ( ~ ( SY23 @ ( sK6_SY24 @ SY23 ) )
| ( sK4_SY18 @ ( sK6_SY24 @ SY23 ) ) )
& ( ( SY23 @ ( sK6_SY24 @ SY23 ) )
| ~ ( sK4_SY18 @ ( sK6_SY24 @ SY23 ) ) ) )
| ~ ( SY23 @ sK1_Xa )
| ~ ( SY23 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
& ! [SY23: $i > $o] :
( ( ( ~ ( SY23 @ ( sK5_SY24 @ SY23 ) )
| ( sK4_SY18 @ ( sK5_SY24 @ SY23 ) ) )
& ( ( SY23 @ ( sK5_SY24 @ SY23 ) )
| ~ ( sK4_SY18 @ ( sK5_SY24 @ SY23 ) ) ) )
| ~ ( SY23 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [SY22: $i > $o,SY23: $i > $o] :
( ( ( ~ ( SY23 @ ( sK12_SY24 @ SY23 @ SY22 ) )
| ( sK4_SY18 @ ( sK12_SY24 @ SY23 @ SY22 ) ) )
& ( ( SY23 @ ( sK12_SY24 @ SY23 @ SY22 ) )
| ~ ( sK4_SY18 @ ( sK12_SY24 @ SY23 @ SY22 ) ) ) )
| ~ ( SY22 @ sK1_Xa )
| ~ ( SY23 @ sK2_SY7 )
| ~ ( SY22 @ sK3_SY13 ) )
& ( ! [SY23: $i > $o] :
( ( ~ ( SY23 @ ( sK11_SY24 @ SY23 ) )
| ( sK4_SY18 @ ( sK11_SY24 @ SY23 ) ) )
& ( ( SY23 @ ( sK11_SY24 @ SY23 ) )
| ~ ( sK4_SY18 @ ( sK11_SY24 @ SY23 ) ) ) )
| ! [SY22: $i > $o] :
( ~ ( SY22 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SY22 @ sK3_SY13 ) ) )
& ! [SY22: $i > $o,SY23: $i > $o] :
( ( ( ~ ( SY23 @ ( sK10_SY24 @ SY23 @ SY22 ) )
| ( sK4_SY18 @ ( sK10_SY24 @ SY23 @ SY22 ) ) )
& ( ( SY23 @ ( sK10_SY24 @ SY23 @ SY22 ) )
| ~ ( sK4_SY18 @ ( sK10_SY24 @ SY23 @ SY22 ) ) ) )
| ~ ( SY23 @ sK1_Xa )
| ~ ( SY23 @ sK2_SY7 )
| ~ ( SY22 @ sK3_SY13 ) )
& ! [SY22: $i > $o,SY23: $i > $o] :
( ( ( ~ ( SY23 @ ( sK9_SY24 @ SY23 @ SY22 ) )
| ( sK4_SY18 @ ( sK9_SY24 @ SY23 @ SY22 ) ) )
& ( ( SY23 @ ( sK9_SY24 @ SY23 @ SY22 ) )
| ~ ( sK4_SY18 @ ( sK9_SY24 @ SY23 @ SY22 ) ) ) )
| ~ ( SY23 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SY22 @ sK3_SY13 ) )
& ! [SY22: $i > $o,SY23: $i > $o] :
( ( ( ~ ( SY23 @ ( sK8_SY24 @ SY23 @ SY22 ) )
| ( sK4_SY18 @ ( sK8_SY24 @ SY23 @ SY22 ) ) )
& ( ( SY23 @ ( sK8_SY24 @ SY23 @ SY22 ) )
| ~ ( sK4_SY18 @ ( sK8_SY24 @ SY23 @ SY22 ) ) ) )
| ~ ( SY22 @ sK1_Xa )
| ~ ( SY23 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
& ( ! [SY23: $i > $o] :
( ( ~ ( SY23 @ ( sK7_SY24 @ SY23 ) )
| ( sK4_SY18 @ ( sK7_SY24 @ SY23 ) ) )
& ( ( SY23 @ ( sK7_SY24 @ SY23 ) )
| ~ ( sK4_SY18 @ ( sK7_SY24 @ SY23 ) ) ) )
| ! [SY22: $i > $o] :
~ ( SY22 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
& ! [SY23: $i > $o] :
( ( ( ~ ( SY23 @ ( sK6_SY24 @ SY23 ) )
| ( sK4_SY18 @ ( sK6_SY24 @ SY23 ) ) )
& ( ( SY23 @ ( sK6_SY24 @ SY23 ) )
| ~ ( sK4_SY18 @ ( sK6_SY24 @ SY23 ) ) ) )
| ~ ( SY23 @ sK1_Xa )
| ~ ( SY23 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
& ! [SY23: $i > $o] :
( ( ( ~ ( SY23 @ ( sK5_SY24 @ SY23 ) )
| ( sK4_SY18 @ ( sK5_SY24 @ SY23 ) ) )
& ( ( SY23 @ ( sK5_SY24 @ SY23 ) )
| ~ ( sK4_SY18 @ ( sK5_SY24 @ SY23 ) ) ) )
| ~ ( SY23 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(11,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) )
| ~ ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) )
| ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
| ~ ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) )
| ~ ~ ( ~ ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX0 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
| ~ ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) )
| ~ ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) )
| ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
| ~ ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) )
| ~ ~ ( ~ ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX0 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
| ~ ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(13,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) )
| ~ ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) )
| ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
| ~ ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) )
| ~ ~ ( ~ ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX0 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
| ~ ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) )
| ~ ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) )
| ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
| ~ ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) )
| ~ ~ ( ~ ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX0 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
| ~ ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) )
| ~ ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) )
| ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
| ~ ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) )
| ~ ~ ( ~ ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX0 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
| ~ ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) )
| ~ ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) )
| ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
| ~ ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ~ ( ~ ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX0 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
| ~ ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(23,plain,
( ( ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) )
| ~ ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(24,plain,
( ( ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) )
| ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
| ~ ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
( ( ~ ( ~ ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX0 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
| ~ ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(27,plain,
( ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) )
| ~ ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) )
| ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(29,plain,
( ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
| ~ ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(30,plain,
( ( ~ ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX0 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
| ~ ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(31,plain,
( ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(32,plain,
( ( ~ ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(33,plain,
( ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(35,plain,
( ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(36,plain,
( ( ~ ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(37,plain,
( ( ~ ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX0 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(38,plain,
( ( ~ ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(39,plain,
( ( ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK12_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK12_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(40,plain,
( ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(41,plain,
( ( ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK10_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK10_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(42,plain,
( ( ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK9_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK9_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(43,plain,
( ( ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ~ ( ~ ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1 @ ( sK8_SY24 @ SX1 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK8_SY24 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX1 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(44,plain,
( ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) ) )
| ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(45,plain,
( ( ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK6_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK6_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( SX0 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(46,plain,
( ( ! [SX0: $i > $o] :
( ~ ( ~ ( ~ ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK5_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK5_SY24 @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(47,plain,
! [SV1: $i > $o] :
( ( ! [SY25: $i > $o] :
( ~ ( ~ ( ~ ( SY25 @ ( sK12_SY24 @ SY25 @ SV1 ) )
| ( sK4_SY18 @ ( sK12_SY24 @ SY25 @ SV1 ) ) )
| ~ ( ( SY25 @ ( sK12_SY24 @ SY25 @ SV1 ) )
| ~ ( sK4_SY18 @ ( sK12_SY24 @ SY25 @ SV1 ) ) ) )
| ~ ( SV1 @ sK1_Xa )
| ~ ( SY25 @ sK2_SY7 )
| ~ ( SV1 @ sK3_SY13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(48,plain,
( ( ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK11_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK11_SY24 @ SX0 ) ) ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(49,plain,
! [SV2: $i > $o] :
( ( ! [SY26: $i > $o] :
( ~ ( ~ ( ~ ( SY26 @ ( sK10_SY24 @ SY26 @ SV2 ) )
| ( sK4_SY18 @ ( sK10_SY24 @ SY26 @ SV2 ) ) )
| ~ ( ( SY26 @ ( sK10_SY24 @ SY26 @ SV2 ) )
| ~ ( sK4_SY18 @ ( sK10_SY24 @ SY26 @ SV2 ) ) ) )
| ~ ( SY26 @ sK1_Xa )
| ~ ( SY26 @ sK2_SY7 )
| ~ ( SV2 @ sK3_SY13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(50,plain,
! [SV3: $i > $o] :
( ( ! [SY27: $i > $o] :
( ~ ( ~ ( ~ ( SY27 @ ( sK9_SY24 @ SY27 @ SV3 ) )
| ( sK4_SY18 @ ( sK9_SY24 @ SY27 @ SV3 ) ) )
| ~ ( ( SY27 @ ( sK9_SY24 @ SY27 @ SV3 ) )
| ~ ( sK4_SY18 @ ( sK9_SY24 @ SY27 @ SV3 ) ) ) )
| ~ ( SY27 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SV3 @ sK3_SY13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(51,plain,
! [SV4: $i > $o] :
( ( ! [SY28: $i > $o] :
( ~ ( ~ ( ~ ( SY28 @ ( sK8_SY24 @ SY28 @ SV4 ) )
| ( sK4_SY18 @ ( sK8_SY24 @ SY28 @ SV4 ) ) )
| ~ ( ( SY28 @ ( sK8_SY24 @ SY28 @ SV4 ) )
| ~ ( sK4_SY18 @ ( sK8_SY24 @ SY28 @ SV4 ) ) ) )
| ~ ( SV4 @ sK1_Xa )
| ~ ( SY28 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(52,plain,
( ( ( ! [SX0: $i > $o] :
~ ( ~ ( ~ ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK7_SY24 @ SX0 ) )
| ~ ( sK4_SY18 @ ( sK7_SY24 @ SX0 ) ) ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(53,plain,
! [SV5: $i > $o] :
( ( ~ ( ~ ( ~ ( SV5 @ ( sK6_SY24 @ SV5 ) )
| ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) ) )
| ~ ( ( SV5 @ ( sK6_SY24 @ SV5 ) )
| ~ ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) ) ) )
| ~ ( SV5 @ sK1_Xa )
| ~ ( SV5 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(54,plain,
! [SV6: $i > $o] :
( ( ~ ( ~ ( ~ ( SV6 @ ( sK5_SY24 @ SV6 ) )
| ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) ) )
| ~ ( ( SV6 @ ( sK5_SY24 @ SV6 ) )
| ~ ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) ) ) )
| ~ ( SV6 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(55,plain,
! [SV1: $i > $o,SV7: $i > $o] :
( ( ~ ( ~ ( ~ ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
| ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) ) )
| ~ ( ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
| ~ ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) ) ) )
| ~ ( SV1 @ sK1_Xa )
| ~ ( SV7 @ sK2_SY7 )
| ~ ( SV1 @ sK3_SY13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(56,plain,
! [SV8: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV8 @ ( sK11_SY24 @ SV8 ) )
| ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) ) )
| ~ ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
| ~ ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) ) ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(57,plain,
! [SV2: $i > $o,SV9: $i > $o] :
( ( ~ ( ~ ( ~ ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
| ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) ) )
| ~ ( ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
| ~ ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) ) ) )
| ~ ( SV9 @ sK1_Xa )
| ~ ( SV9 @ sK2_SY7 )
| ~ ( SV2 @ sK3_SY13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(58,plain,
! [SV3: $i > $o,SV10: $i > $o] :
( ( ~ ( ~ ( ~ ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
| ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) ) )
| ~ ( ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
| ~ ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) ) ) )
| ~ ( SV10 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SV3 @ sK3_SY13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(59,plain,
! [SV4: $i > $o,SV11: $i > $o] :
( ( ~ ( ~ ( ~ ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
| ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) ) )
| ~ ( ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
| ~ ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) ) ) )
| ~ ( SV4 @ sK1_Xa )
| ~ ( SV11 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(60,plain,
! [SV12: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV12 @ ( sK7_SY24 @ SV12 ) )
| ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) ) )
| ~ ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
| ~ ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) ) ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(61,plain,
! [SV5: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV5 @ ( sK6_SY24 @ SV5 ) )
| ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) ) )
| ~ ( ( SV5 @ ( sK6_SY24 @ SV5 ) )
| ~ ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) ) ) ) )
= $true )
| ( ( ~ ( SV5 @ sK1_Xa )
| ~ ( SV5 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(62,plain,
! [SV6: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV6 @ ( sK5_SY24 @ SV6 ) )
| ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) ) )
| ~ ( ( SV6 @ ( sK5_SY24 @ SV6 ) )
| ~ ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) ) ) ) )
= $true )
| ( ( ~ ( SV6 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(63,plain,
! [SV1: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
| ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) ) )
| ~ ( ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
| ~ ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) ) ) ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xa )
| ~ ( SV7 @ sK2_SY7 )
| ~ ( SV1 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(64,plain,
! [SV8: $i > $o] :
( ( ( ~ ( ~ ( SV8 @ ( sK11_SY24 @ SV8 ) )
| ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) ) )
| ~ ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
| ~ ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(65,plain,
! [SV2: $i > $o,SV9: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
| ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) ) )
| ~ ( ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
| ~ ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) ) ) ) )
= $true )
| ( ( ~ ( SV9 @ sK1_Xa )
| ~ ( SV9 @ sK2_SY7 )
| ~ ( SV2 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(66,plain,
! [SV3: $i > $o,SV10: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
| ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) ) )
| ~ ( ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
| ~ ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) ) ) ) )
= $true )
| ( ( ~ ( SV10 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SV3 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(67,plain,
! [SV4: $i > $o,SV11: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
| ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) ) )
| ~ ( ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
| ~ ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) ) ) ) )
= $true )
| ( ( ~ ( SV4 @ sK1_Xa )
| ~ ( SV11 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(68,plain,
! [SV12: $i > $o] :
( ( ( ~ ( ~ ( SV12 @ ( sK7_SY24 @ SV12 ) )
| ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) ) )
| ~ ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
| ~ ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(69,plain,
! [SV5: $i > $o] :
( ( ( ~ ( ~ ( SV5 @ ( sK6_SY24 @ SV5 ) )
| ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) ) )
| ~ ( ( SV5 @ ( sK6_SY24 @ SV5 ) )
| ~ ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) ) ) )
= $false )
| ( ( ~ ( SV5 @ sK1_Xa )
| ~ ( SV5 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(70,plain,
! [SV6: $i > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK5_SY24 @ SV6 ) )
| ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) ) )
| ~ ( ( SV6 @ ( sK5_SY24 @ SV6 ) )
| ~ ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) ) ) )
= $false )
| ( ( ~ ( SV6 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(71,plain,
! [SV1: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
| ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) ) )
| ~ ( ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
| ~ ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( SV1 @ sK1_Xa )
| ~ ( SV7 @ sK2_SY7 )
| ~ ( SV1 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(72,plain,
! [SV8: $i > $o] :
( ( ( ~ ( ~ ( SV8 @ ( sK11_SY24 @ SV8 ) )
| ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(73,plain,
! [SV8: $i > $o] :
( ( ( ~ ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
| ~ ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(74,plain,
! [SV2: $i > $o,SV9: $i > $o] :
( ( ( ~ ( ~ ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
| ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) ) )
| ~ ( ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
| ~ ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( SV9 @ sK1_Xa )
| ~ ( SV9 @ sK2_SY7 )
| ~ ( SV2 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(75,plain,
! [SV3: $i > $o,SV10: $i > $o] :
( ( ( ~ ( ~ ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
| ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) ) )
| ~ ( ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
| ~ ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( SV10 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SV3 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(76,plain,
! [SV4: $i > $o,SV11: $i > $o] :
( ( ( ~ ( ~ ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
| ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) ) )
| ~ ( ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
| ~ ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) ) ) )
= $false )
| ( ( ~ ( SV4 @ sK1_Xa )
| ~ ( SV11 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(77,plain,
! [SV12: $i > $o] :
( ( ( ~ ( ~ ( SV12 @ ( sK7_SY24 @ SV12 ) )
| ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(78,plain,
! [SV12: $i > $o] :
( ( ( ~ ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
| ~ ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(79,plain,
! [SV5: $i > $o] :
( ( ( ~ ( ~ ( SV5 @ ( sK6_SY24 @ SV5 ) )
| ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) ) ) )
= $false )
| ( ( ~ ( SV5 @ sK1_Xa )
| ~ ( SV5 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(80,plain,
! [SV5: $i > $o] :
( ( ( ~ ( ( SV5 @ ( sK6_SY24 @ SV5 ) )
| ~ ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) ) ) )
= $false )
| ( ( ~ ( SV5 @ sK1_Xa )
| ~ ( SV5 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(81,plain,
! [SV6: $i > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK5_SY24 @ SV6 ) )
| ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) ) ) )
= $false )
| ( ( ~ ( SV6 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(82,plain,
! [SV6: $i > $o] :
( ( ( ~ ( ( SV6 @ ( sK5_SY24 @ SV6 ) )
| ~ ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) ) ) )
= $false )
| ( ( ~ ( SV6 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(83,plain,
! [SV1: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
| ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( SV1 @ sK1_Xa )
| ~ ( SV7 @ sK2_SY7 )
| ~ ( SV1 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(84,plain,
! [SV1: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
| ~ ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( SV1 @ sK1_Xa )
| ~ ( SV7 @ sK2_SY7 )
| ~ ( SV1 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(85,plain,
! [SV8: $i > $o] :
( ( ( ~ ( SV8 @ ( sK11_SY24 @ SV8 ) )
| ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(86,plain,
! [SV8: $i > $o] :
( ( ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
| ~ ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(87,plain,
! [SV2: $i > $o,SV9: $i > $o] :
( ( ( ~ ( ~ ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
| ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( SV9 @ sK1_Xa )
| ~ ( SV9 @ sK2_SY7 )
| ~ ( SV2 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(88,plain,
! [SV2: $i > $o,SV9: $i > $o] :
( ( ( ~ ( ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
| ~ ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( SV9 @ sK1_Xa )
| ~ ( SV9 @ sK2_SY7 )
| ~ ( SV2 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(89,plain,
! [SV3: $i > $o,SV10: $i > $o] :
( ( ( ~ ( ~ ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
| ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( SV10 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SV3 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(90,plain,
! [SV3: $i > $o,SV10: $i > $o] :
( ( ( ~ ( ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
| ~ ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( SV10 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SV3 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(91,plain,
! [SV4: $i > $o,SV11: $i > $o] :
( ( ( ~ ( ~ ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
| ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) ) ) )
= $false )
| ( ( ~ ( SV4 @ sK1_Xa )
| ~ ( SV11 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(92,plain,
! [SV4: $i > $o,SV11: $i > $o] :
( ( ( ~ ( ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
| ~ ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) ) ) )
= $false )
| ( ( ~ ( SV4 @ sK1_Xa )
| ~ ( SV11 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(93,plain,
! [SV12: $i > $o] :
( ( ( ~ ( SV12 @ ( sK7_SY24 @ SV12 ) )
| ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(94,plain,
! [SV12: $i > $o] :
( ( ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
| ~ ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(95,plain,
! [SV5: $i > $o] :
( ( ( ~ ( SV5 @ ( sK6_SY24 @ SV5 ) )
| ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) ) )
= $true )
| ( ( ~ ( SV5 @ sK1_Xa )
| ~ ( SV5 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(96,plain,
! [SV5: $i > $o] :
( ( ( ( SV5 @ ( sK6_SY24 @ SV5 ) )
| ~ ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) ) )
= $true )
| ( ( ~ ( SV5 @ sK1_Xa )
| ~ ( SV5 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(97,plain,
! [SV6: $i > $o] :
( ( ( ~ ( SV6 @ ( sK5_SY24 @ SV6 ) )
| ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) ) )
= $true )
| ( ( ~ ( SV6 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(98,plain,
! [SV6: $i > $o] :
( ( ( ( SV6 @ ( sK5_SY24 @ SV6 ) )
| ~ ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) ) )
= $true )
| ( ( ~ ( SV6 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(99,plain,
! [SV1: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
| ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xa )
| ~ ( SV7 @ sK2_SY7 )
| ~ ( SV1 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(100,plain,
! [SV1: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
| ~ ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xa )
| ~ ( SV7 @ sK2_SY7 )
| ~ ( SV1 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(101,plain,
! [SV8: $i > $o] :
( ( ( ~ ( SV8 @ ( sK11_SY24 @ SV8 ) ) )
= $true )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(102,plain,
! [SV8: $i > $o] :
( ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( ~ ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(103,plain,
! [SV2: $i > $o,SV9: $i > $o] :
( ( ( ~ ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
| ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) ) )
= $true )
| ( ( ~ ( SV9 @ sK1_Xa )
| ~ ( SV9 @ sK2_SY7 )
| ~ ( SV2 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(104,plain,
! [SV2: $i > $o,SV9: $i > $o] :
( ( ( ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
| ~ ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) ) )
= $true )
| ( ( ~ ( SV9 @ sK1_Xa )
| ~ ( SV9 @ sK2_SY7 )
| ~ ( SV2 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(105,plain,
! [SV3: $i > $o,SV10: $i > $o] :
( ( ( ~ ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
| ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) ) )
= $true )
| ( ( ~ ( SV10 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SV3 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(106,plain,
! [SV3: $i > $o,SV10: $i > $o] :
( ( ( ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
| ~ ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) ) )
= $true )
| ( ( ~ ( SV10 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SV3 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(107,plain,
! [SV4: $i > $o,SV11: $i > $o] :
( ( ( ~ ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
| ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) ) )
= $true )
| ( ( ~ ( SV4 @ sK1_Xa )
| ~ ( SV11 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(108,plain,
! [SV4: $i > $o,SV11: $i > $o] :
( ( ( ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
| ~ ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) ) )
= $true )
| ( ( ~ ( SV4 @ sK1_Xa )
| ~ ( SV11 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(109,plain,
! [SV12: $i > $o] :
( ( ( ~ ( SV12 @ ( sK7_SY24 @ SV12 ) ) )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(110,plain,
! [SV12: $i > $o] :
( ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( ~ ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(111,plain,
! [SV5: $i > $o] :
( ( ( ~ ( SV5 @ ( sK6_SY24 @ SV5 ) ) )
= $true )
| ( ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) )
= $true )
| ( ( ~ ( SV5 @ sK1_Xa )
| ~ ( SV5 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(112,plain,
! [SV5: $i > $o] :
( ( ( SV5 @ ( sK6_SY24 @ SV5 ) )
= $true )
| ( ( ~ ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) ) )
= $true )
| ( ( ~ ( SV5 @ sK1_Xa )
| ~ ( SV5 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(113,plain,
! [SV6: $i > $o] :
( ( ( ~ ( SV6 @ ( sK5_SY24 @ SV6 ) ) )
= $true )
| ( ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(114,plain,
! [SV6: $i > $o] :
( ( ( SV6 @ ( sK5_SY24 @ SV6 ) )
= $true )
| ( ( ~ ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) ) )
= $true )
| ( ( ~ ( SV6 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(115,plain,
! [SV1: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) ) )
= $true )
| ( ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xa )
| ~ ( SV7 @ sK2_SY7 )
| ~ ( SV1 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(116,plain,
! [SV1: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $true )
| ( ( ~ ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xa )
| ~ ( SV7 @ sK2_SY7 )
| ~ ( SV1 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(117,plain,
! [SV8: $i > $o] :
( ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $false )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(118,plain,
! [SV8: $i > $o] :
( ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( ! [SX0: $i > $o] :
( ~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SX0 @ sK3_SY13 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(119,plain,
! [SV2: $i > $o,SV9: $i > $o] :
( ( ( ~ ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) ) )
= $true )
| ( ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $true )
| ( ( ~ ( SV9 @ sK1_Xa )
| ~ ( SV9 @ sK2_SY7 )
| ~ ( SV2 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(120,plain,
! [SV2: $i > $o,SV9: $i > $o] :
( ( ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $true )
| ( ( ~ ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) ) )
= $true )
| ( ( ~ ( SV9 @ sK1_Xa )
| ~ ( SV9 @ sK2_SY7 )
| ~ ( SV2 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(121,plain,
! [SV3: $i > $o,SV10: $i > $o] :
( ( ( ~ ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) ) )
= $true )
| ( ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $true )
| ( ( ~ ( SV10 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SV3 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(122,plain,
! [SV3: $i > $o,SV10: $i > $o] :
( ( ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $true )
| ( ( ~ ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) ) )
= $true )
| ( ( ~ ( SV10 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SV3 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(123,plain,
! [SV4: $i > $o,SV11: $i > $o] :
( ( ( ~ ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) ) )
= $true )
| ( ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $true )
| ( ( ~ ( SV4 @ sK1_Xa )
| ~ ( SV11 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(124,plain,
! [SV4: $i > $o,SV11: $i > $o] :
( ( ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $true )
| ( ( ~ ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) ) )
= $true )
| ( ( ~ ( SV4 @ sK1_Xa )
| ~ ( SV11 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(125,plain,
! [SV12: $i > $o] :
( ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $false )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(126,plain,
! [SV12: $i > $o] :
( ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $false )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(127,plain,
! [SV5: $i > $o] :
( ( ( SV5 @ ( sK6_SY24 @ SV5 ) )
= $false )
| ( ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) )
= $true )
| ( ( ~ ( SV5 @ sK1_Xa )
| ~ ( SV5 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(128,plain,
! [SV5: $i > $o] :
( ( ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) )
= $false )
| ( ( SV5 @ ( sK6_SY24 @ SV5 ) )
= $true )
| ( ( ~ ( SV5 @ sK1_Xa )
| ~ ( SV5 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(129,plain,
! [SV6: $i > $o] :
( ( ( SV6 @ ( sK5_SY24 @ SV6 ) )
= $false )
| ( ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(130,plain,
! [SV6: $i > $o] :
( ( ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK5_SY24 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(131,plain,
! [SV1: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $false )
| ( ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xa )
| ~ ( SV7 @ sK2_SY7 )
| ~ ( SV1 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(132,plain,
! [SV1: $i > $o,SV7: $i > $o] :
( ( ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $false )
| ( ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xa )
| ~ ( SV7 @ sK2_SY7 )
| ~ ( SV1 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(133,plain,
! [SV8: $i > $o,SV13: $i > $o] :
( ( ( ~ ( SV13 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SV13 @ sK3_SY13 ) )
= $true )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(134,plain,
! [SV8: $i > $o,SV14: $i > $o] :
( ( ( ~ ( SV14 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SV14 @ sK3_SY13 ) )
= $true )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(135,plain,
! [SV2: $i > $o,SV9: $i > $o] :
( ( ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $false )
| ( ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $true )
| ( ( ~ ( SV9 @ sK1_Xa )
| ~ ( SV9 @ sK2_SY7 )
| ~ ( SV2 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(136,plain,
! [SV2: $i > $o,SV9: $i > $o] :
( ( ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $false )
| ( ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $true )
| ( ( ~ ( SV9 @ sK1_Xa )
| ~ ( SV9 @ sK2_SY7 )
| ~ ( SV2 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(137,plain,
! [SV3: $i > $o,SV10: $i > $o] :
( ( ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $false )
| ( ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $true )
| ( ( ~ ( SV10 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SV3 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(138,plain,
! [SV3: $i > $o,SV10: $i > $o] :
( ( ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $false )
| ( ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $true )
| ( ( ~ ( SV10 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 )
| ~ ( SV3 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(139,plain,
! [SV4: $i > $o,SV11: $i > $o] :
( ( ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $false )
| ( ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $true )
| ( ( ~ ( SV4 @ sK1_Xa )
| ~ ( SV11 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(140,plain,
! [SV4: $i > $o,SV11: $i > $o] :
( ( ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $false )
| ( ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $true )
| ( ( ~ ( SV4 @ sK1_Xa )
| ~ ( SV11 @ sK2_SY7 )
| ( sK4_SY18 @ sK3_SY13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(141,plain,
! [SV12: $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(142,plain,
! [SV12: $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(143,plain,
! [SV5: $i > $o] :
( ( ( ~ ( SV5 @ sK1_Xa )
| ~ ( SV5 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK6_SY24 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(144,plain,
! [SV5: $i > $o] :
( ( ( ~ ( SV5 @ sK1_Xa )
| ~ ( SV5 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV5 @ ( sK6_SY24 @ SV5 ) )
= $true )
| ( ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(145,plain,
! [SV6: $i > $o] :
( ( ( ~ ( SV6 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK5_SY24 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(146,plain,
! [SV6: $i > $o] :
( ( ( ~ ( SV6 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV6 @ ( sK5_SY24 @ SV6 ) )
= $true )
| ( ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(147,plain,
! [SV7: $i > $o,SV1: $i > $o] :
( ( ( ~ ( SV1 @ sK1_Xa )
| ~ ( SV7 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV1 @ sK3_SY13 ) )
= $true )
| ( ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $true )
| ( ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(148,plain,
! [SV7: $i > $o,SV1: $i > $o] :
( ( ( ~ ( SV1 @ sK1_Xa )
| ~ ( SV7 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV1 @ sK3_SY13 ) )
= $true )
| ( ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $true )
| ( ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(149,plain,
! [SV8: $i > $o,SV13: $i > $o] :
( ( ( ~ ( SV13 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV13 @ sK3_SY13 ) )
= $true )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(150,plain,
! [SV8: $i > $o,SV14: $i > $o] :
( ( ( ~ ( SV14 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV14 @ sK3_SY13 ) )
= $true )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(151,plain,
! [SV2: $i > $o,SV9: $i > $o] :
( ( ( ~ ( SV9 @ sK1_Xa )
| ~ ( SV9 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV2 @ sK3_SY13 ) )
= $true )
| ( ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $true )
| ( ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(152,plain,
! [SV2: $i > $o,SV9: $i > $o] :
( ( ( ~ ( SV9 @ sK1_Xa )
| ~ ( SV9 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV2 @ sK3_SY13 ) )
= $true )
| ( ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $true )
| ( ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(153,plain,
! [SV3: $i > $o,SV10: $i > $o] :
( ( ( ~ ( SV10 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV3 @ sK3_SY13 ) )
= $true )
| ( ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $true )
| ( ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(154,plain,
! [SV3: $i > $o,SV10: $i > $o] :
( ( ( ~ ( SV10 @ sK1_Xa )
| ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV3 @ sK3_SY13 ) )
= $true )
| ( ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $true )
| ( ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(155,plain,
! [SV11: $i > $o,SV4: $i > $o] :
( ( ( ~ ( SV4 @ sK1_Xa )
| ~ ( SV11 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $true )
| ( ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(156,plain,
! [SV11: $i > $o,SV4: $i > $o] :
( ( ( ~ ( SV4 @ sK1_Xa )
| ~ ( SV11 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $true )
| ( ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(157,plain,
! [SV12: $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa ) )
= $true )
| ( ( ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(158,plain,
! [SV12: $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ( SX0 @ sK1_Xa ) )
= $true )
| ( ( ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(159,plain,
! [SV5: $i > $o] :
( ( ( ~ ( SV5 @ sK1_Xa ) )
= $true )
| ( ( ~ ( SV5 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK6_SY24 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(160,plain,
! [SV5: $i > $o] :
( ( ( ~ ( SV5 @ sK1_Xa ) )
= $true )
| ( ( ~ ( SV5 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV5 @ ( sK6_SY24 @ SV5 ) )
= $true )
| ( ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(161,plain,
! [SV6: $i > $o] :
( ( ( ~ ( SV6 @ sK1_Xa ) )
= $true )
| ( ( ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK5_SY24 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(162,plain,
! [SV6: $i > $o] :
( ( ( ~ ( SV6 @ sK1_Xa ) )
= $true )
| ( ( ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV6 @ ( sK5_SY24 @ SV6 ) )
= $true )
| ( ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(163,plain,
! [SV7: $i > $o,SV1: $i > $o] :
( ( ( ~ ( SV1 @ sK1_Xa ) )
= $true )
| ( ( ~ ( SV7 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV1 @ sK3_SY13 ) )
= $true )
| ( ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $true )
| ( ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(164,plain,
! [SV7: $i > $o,SV1: $i > $o] :
( ( ( ~ ( SV1 @ sK1_Xa ) )
= $true )
| ( ( ~ ( SV7 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV1 @ sK3_SY13 ) )
= $true )
| ( ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $true )
| ( ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(165,plain,
! [SV8: $i > $o,SV13: $i > $o] :
( ( ( ~ ( SV13 @ sK1_Xa ) )
= $true )
| ( ( ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV13 @ sK3_SY13 ) )
= $true )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(166,plain,
! [SV8: $i > $o,SV14: $i > $o] :
( ( ( ~ ( SV14 @ sK1_Xa ) )
= $true )
| ( ( ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV14 @ sK3_SY13 ) )
= $true )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(167,plain,
! [SV2: $i > $o,SV9: $i > $o] :
( ( ( ~ ( SV9 @ sK1_Xa ) )
= $true )
| ( ( ~ ( SV9 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV2 @ sK3_SY13 ) )
= $true )
| ( ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $true )
| ( ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(168,plain,
! [SV2: $i > $o,SV9: $i > $o] :
( ( ( ~ ( SV9 @ sK1_Xa ) )
= $true )
| ( ( ~ ( SV9 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV2 @ sK3_SY13 ) )
= $true )
| ( ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $true )
| ( ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(169,plain,
! [SV3: $i > $o,SV10: $i > $o] :
( ( ( ~ ( SV10 @ sK1_Xa ) )
= $true )
| ( ( ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV3 @ sK3_SY13 ) )
= $true )
| ( ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $true )
| ( ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(170,plain,
! [SV3: $i > $o,SV10: $i > $o] :
( ( ( ~ ( SV10 @ sK1_Xa ) )
= $true )
| ( ( ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV3 @ sK3_SY13 ) )
= $true )
| ( ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $true )
| ( ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(171,plain,
! [SV11: $i > $o,SV4: $i > $o] :
( ( ( ~ ( SV4 @ sK1_Xa ) )
= $true )
| ( ( ~ ( SV11 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $true )
| ( ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(172,plain,
! [SV11: $i > $o,SV4: $i > $o] :
( ( ( ~ ( SV4 @ sK1_Xa ) )
= $true )
| ( ( ~ ( SV11 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $true )
| ( ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(173,plain,
! [SV12: $i > $o,SV15: $i > $o] :
( ( ( ~ ( SV15 @ sK1_Xa ) )
= $true )
| ( ( ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(174,plain,
! [SV12: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ sK1_Xa ) )
= $true )
| ( ( ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(175,plain,
! [SV5: $i > $o] :
( ( ( SV5 @ sK1_Xa )
= $false )
| ( ( ~ ( SV5 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK6_SY24 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(176,plain,
! [SV5: $i > $o] :
( ( ( SV5 @ sK1_Xa )
= $false )
| ( ( ~ ( SV5 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV5 @ ( sK6_SY24 @ SV5 ) )
= $true )
| ( ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(177,plain,
! [SV6: $i > $o] :
( ( ( SV6 @ sK1_Xa )
= $false )
| ( ( ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK5_SY24 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(178,plain,
! [SV6: $i > $o] :
( ( ( SV6 @ sK1_Xa )
= $false )
| ( ( ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV6 @ ( sK5_SY24 @ SV6 ) )
= $true )
| ( ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(179,plain,
! [SV7: $i > $o,SV1: $i > $o] :
( ( ( SV1 @ sK1_Xa )
= $false )
| ( ( ~ ( SV7 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV1 @ sK3_SY13 ) )
= $true )
| ( ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $true )
| ( ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(180,plain,
! [SV7: $i > $o,SV1: $i > $o] :
( ( ( SV1 @ sK1_Xa )
= $false )
| ( ( ~ ( SV7 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV1 @ sK3_SY13 ) )
= $true )
| ( ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $true )
| ( ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(181,plain,
! [SV8: $i > $o,SV13: $i > $o] :
( ( ( SV13 @ sK1_Xa )
= $false )
| ( ( ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV13 @ sK3_SY13 ) )
= $true )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(182,plain,
! [SV8: $i > $o,SV14: $i > $o] :
( ( ( SV14 @ sK1_Xa )
= $false )
| ( ( ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV14 @ sK3_SY13 ) )
= $true )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(183,plain,
! [SV2: $i > $o,SV9: $i > $o] :
( ( ( SV9 @ sK1_Xa )
= $false )
| ( ( ~ ( SV9 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV2 @ sK3_SY13 ) )
= $true )
| ( ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $true )
| ( ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(184,plain,
! [SV2: $i > $o,SV9: $i > $o] :
( ( ( SV9 @ sK1_Xa )
= $false )
| ( ( ~ ( SV9 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV2 @ sK3_SY13 ) )
= $true )
| ( ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $true )
| ( ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(185,plain,
! [SV3: $i > $o,SV10: $i > $o] :
( ( ( SV10 @ sK1_Xa )
= $false )
| ( ( ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV3 @ sK3_SY13 ) )
= $true )
| ( ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $true )
| ( ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(186,plain,
! [SV3: $i > $o,SV10: $i > $o] :
( ( ( SV10 @ sK1_Xa )
= $false )
| ( ( ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( ~ ( SV3 @ sK3_SY13 ) )
= $true )
| ( ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $true )
| ( ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(187,plain,
! [SV11: $i > $o,SV4: $i > $o] :
( ( ( SV4 @ sK1_Xa )
= $false )
| ( ( ~ ( SV11 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $true )
| ( ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(188,plain,
! [SV11: $i > $o,SV4: $i > $o] :
( ( ( SV4 @ sK1_Xa )
= $false )
| ( ( ~ ( SV11 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $true )
| ( ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(189,plain,
! [SV12: $i > $o,SV15: $i > $o] :
( ( ( SV15 @ sK1_Xa )
= $false )
| ( ( ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(190,plain,
! [SV12: $i > $o,SV16: $i > $o] :
( ( ( SV16 @ sK1_Xa )
= $false )
| ( ( ~ ( sK4_SY18 @ sK2_SY7 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(191,plain,
! [SV5: $i > $o] :
( ( ( SV5 @ sK2_SY7 )
= $false )
| ( ( SV5 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) )
= $true )
| ( ( SV5 @ ( sK6_SY24 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(192,plain,
! [SV5: $i > $o] :
( ( ( SV5 @ sK2_SY7 )
= $false )
| ( ( SV5 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV5 @ ( sK6_SY24 @ SV5 ) )
= $true )
| ( ( sK4_SY18 @ ( sK6_SY24 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(193,plain,
! [SV6: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV6 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK5_SY24 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(194,plain,
! [SV6: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV6 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV6 @ ( sK5_SY24 @ SV6 ) )
= $true )
| ( ( sK4_SY18 @ ( sK5_SY24 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(195,plain,
! [SV1: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ sK2_SY7 )
= $false )
| ( ( SV1 @ sK1_Xa )
= $false )
| ( ( ~ ( SV1 @ sK3_SY13 ) )
= $true )
| ( ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $true )
| ( ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(196,plain,
! [SV1: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ sK2_SY7 )
= $false )
| ( ( SV1 @ sK1_Xa )
= $false )
| ( ( ~ ( SV1 @ sK3_SY13 ) )
= $true )
| ( ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $true )
| ( ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(197,plain,
! [SV8: $i > $o,SV13: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV13 @ sK1_Xa )
= $false )
| ( ( ~ ( SV13 @ sK3_SY13 ) )
= $true )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(198,plain,
! [SV8: $i > $o,SV14: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV14 @ sK1_Xa )
= $false )
| ( ( ~ ( SV14 @ sK3_SY13 ) )
= $true )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(199,plain,
! [SV2: $i > $o,SV9: $i > $o] :
( ( ( SV9 @ sK2_SY7 )
= $false )
| ( ( SV9 @ sK1_Xa )
= $false )
| ( ( ~ ( SV2 @ sK3_SY13 ) )
= $true )
| ( ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $true )
| ( ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(200,plain,
! [SV2: $i > $o,SV9: $i > $o] :
( ( ( SV9 @ sK2_SY7 )
= $false )
| ( ( SV9 @ sK1_Xa )
= $false )
| ( ( ~ ( SV2 @ sK3_SY13 ) )
= $true )
| ( ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $true )
| ( ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(201,plain,
! [SV3: $i > $o,SV10: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV10 @ sK1_Xa )
= $false )
| ( ( ~ ( SV3 @ sK3_SY13 ) )
= $true )
| ( ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $true )
| ( ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(202,plain,
! [SV3: $i > $o,SV10: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV10 @ sK1_Xa )
= $false )
| ( ( ~ ( SV3 @ sK3_SY13 ) )
= $true )
| ( ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $true )
| ( ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(203,plain,
! [SV4: $i > $o,SV11: $i > $o] :
( ( ( SV11 @ sK2_SY7 )
= $false )
| ( ( SV4 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $true )
| ( ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(204,plain,
! [SV4: $i > $o,SV11: $i > $o] :
( ( ( SV11 @ sK2_SY7 )
= $false )
| ( ( SV4 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV11 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $true )
| ( ( sK4_SY18 @ ( sK8_SY24 @ SV11 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(205,plain,
! [SV12: $i > $o,SV15: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV15 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(206,plain,
! [SV12: $i > $o,SV16: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV16 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(207,plain,
! [SV7: $i > $o,SV1: $i > $o] :
( ( ( SV1 @ sK3_SY13 )
= $false )
| ( ( SV1 @ sK1_Xa )
= $false )
| ( ( SV7 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $true )
| ( ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(208,plain,
! [SV7: $i > $o,SV1: $i > $o] :
( ( ( SV1 @ sK3_SY13 )
= $false )
| ( ( SV1 @ sK1_Xa )
= $false )
| ( ( SV7 @ sK2_SY7 )
= $false )
| ( ( SV7 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $true )
| ( ( sK4_SY18 @ ( sK12_SY24 @ SV7 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(209,plain,
! [SV8: $i > $o,SV13: $i > $o] :
( ( ( SV13 @ sK3_SY13 )
= $false )
| ( ( SV13 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(210,plain,
! [SV8: $i > $o,SV14: $i > $o] :
( ( ( SV14 @ sK3_SY13 )
= $false )
| ( ( SV14 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(211,plain,
! [SV9: $i > $o,SV2: $i > $o] :
( ( ( SV2 @ sK3_SY13 )
= $false )
| ( ( SV9 @ sK1_Xa )
= $false )
| ( ( SV9 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $true )
| ( ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(212,plain,
! [SV9: $i > $o,SV2: $i > $o] :
( ( ( SV2 @ sK3_SY13 )
= $false )
| ( ( SV9 @ sK1_Xa )
= $false )
| ( ( SV9 @ sK2_SY7 )
= $false )
| ( ( SV9 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $true )
| ( ( sK4_SY18 @ ( sK10_SY24 @ SV9 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(213,plain,
! [SV10: $i > $o,SV3: $i > $o] :
( ( ( SV3 @ sK3_SY13 )
= $false )
| ( ( SV10 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $true )
| ( ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(214,plain,
! [SV10: $i > $o,SV3: $i > $o] :
( ( ( SV3 @ sK3_SY13 )
= $false )
| ( ( SV10 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV10 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $true )
| ( ( sK4_SY18 @ ( sK9_SY24 @ SV10 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(215,plain,
( ( $true = $false )
| ( $true = $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK6_SY24
@ ^ [SX0: $i] : $true ) )
= $true )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[191:[bind(SV5,$thf( ^ [SV128: $i] : $true ))]]) ).
thf(217,plain,
! [SV126: $i > $o] :
( ( ( ~ ( SV126 @ sK2_SY7 ) )
= $false )
| ( ( ~ ( SV126 @ sK1_Xa ) )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK6_SY24
@ ^ [SX0: $i] :
~ ( SV126 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV126
@ ( sK6_SY24
@ ^ [SX0: $i] :
~ ( SV126 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[191:[bind(SV5,$thf( ^ [SV125: $i] : ~ ( SV126 @ SV125 ) ))]]) ).
thf(223,plain,
! [SV126: $i > $o] :
( ( ( ~ ( SV126 @ sK2_SY7 ) )
= $false )
| ( ( ~ ( SV126 @ sK1_Xa ) )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( ~ ( SV126
@ ( sK6_SY24
@ ^ [SX0: $i] :
~ ( SV126 @ SX0 ) ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK6_SY24
@ ^ [SX0: $i] :
~ ( SV126 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[192:[bind(SV5,$thf( ^ [SV125: $i] : ~ ( SV126 @ SV125 ) ))]]) ).
thf(227,plain,
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( $true = $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK5_SY24
@ ^ [SX0: $i] : $true ) )
= $true )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[193:[bind(SV6,$thf( ^ [SV121: $i] : $true ))]]) ).
thf(229,plain,
! [SV119: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( ~ ( SV119 @ sK1_Xa ) )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK5_SY24
@ ^ [SX0: $i] :
~ ( SV119 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV119
@ ( sK5_SY24
@ ^ [SX0: $i] :
~ ( SV119 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[193:[bind(SV6,$thf( ^ [SV118: $i] : ~ ( SV119 @ SV118 ) ))]]) ).
thf(235,plain,
! [SV119: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( ~ ( SV119 @ sK1_Xa ) )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( ~ ( SV119
@ ( sK5_SY24
@ ^ [SX0: $i] :
~ ( SV119 @ SX0 ) ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK5_SY24
@ ^ [SX0: $i] :
~ ( SV119 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[194:[bind(SV6,$thf( ^ [SV118: $i] : ~ ( SV119 @ SV118 ) ))]]) ).
thf(236,plain,
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK1_Xa = sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( ( sK5_SY24
@ ^ [SX0: $i] : ( SX0 = sK1_Xa ) )
= sK1_Xa )
= $true )
| ( ( sK4_SY18
@ ( sK5_SY24
@ ^ [SX0: $i] : ( SX0 = sK1_Xa ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[194:[bind(SV6,$thf( ^ [SV115: $i] : ( SV115 = sK1_Xa ) ))]]) ).
thf(239,plain,
! [SV11: $i > $o] :
( ( ( SV11 @ sK2_SY7 )
= $false )
| ( $true = $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( SV11
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[203:[bind(SV4,$thf( ^ [SV107: $i] : $true ))]]) ).
thf(241,plain,
! [SV105: $i > $o,SV11: $i > $o] :
( ( ( SV11 @ sK2_SY7 )
= $false )
| ( ( ~ ( SV105 @ sK1_Xa ) )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] :
~ ( SV105 @ SX0 ) ) )
= $true )
| ( ( SV11
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] :
~ ( SV105 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[203:[bind(SV4,$thf( ^ [SV104: $i] : ~ ( SV105 @ SV104 ) ))]]) ).
thf(242,plain,
! [SV11: $i > $o] :
( ( ( SV11 @ sK2_SY7 )
= $false )
| ( ( sK1_Xa = sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] : ( SX0 = sK1_Xa ) ) )
= $true )
| ( ( SV11
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] : ( SX0 = sK1_Xa ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[203:[bind(SV4,$thf( ^ [SV101: $i] : ( SV101 = sK1_Xa ) ))]]) ).
thf(245,plain,
! [SV4: $i > $o] :
( ( $true = $false )
| ( ( SV4 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK8_SY24
@ ^ [SX0: $i] : $true
@ SV4 ) )
= $true )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[203:[bind(SV11,$thf( ^ [SV114: $i] : $true ))]]) ).
thf(247,plain,
! [SV4: $i > $o,SV112: $i > $o] :
( ( ( ~ ( SV112 @ sK2_SY7 ) )
= $false )
| ( ( SV4 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK8_SY24
@ ^ [SX0: $i] :
~ ( SV112 @ SX0 )
@ SV4 ) )
= $true )
| ( ( ~ ( SV112
@ ( sK8_SY24
@ ^ [SX0: $i] :
~ ( SV112 @ SX0 )
@ SV4 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[203:[bind(SV11,$thf( ^ [SV111: $i] : ~ ( SV112 @ SV111 ) ))]]) ).
thf(251,plain,
! [SV11: $i > $o] :
( ( ( SV11 @ sK2_SY7 )
= $false )
| ( $true = $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV11
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( sK4_SY18
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[204:[bind(SV4,$thf( ^ [SV107: $i] : $true ))]]) ).
thf(253,plain,
! [SV105: $i > $o,SV11: $i > $o] :
( ( ( SV11 @ sK2_SY7 )
= $false )
| ( ( ~ ( SV105 @ sK1_Xa ) )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV11
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] :
~ ( SV105 @ SX0 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] :
~ ( SV105 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[204:[bind(SV4,$thf( ^ [SV104: $i] : ~ ( SV105 @ SV104 ) ))]]) ).
thf(254,plain,
! [SV11: $i > $o] :
( ( ( SV11 @ sK2_SY7 )
= $false )
| ( ( sK1_Xa = sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV11
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] : ( SX0 = sK1_Xa ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] : ( SX0 = sK1_Xa ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[204:[bind(SV4,$thf( ^ [SV101: $i] : ( SV101 = sK1_Xa ) ))]]) ).
thf(259,plain,
! [SV4: $i > $o,SV112: $i > $o] :
( ( ( ~ ( SV112 @ sK2_SY7 ) )
= $false )
| ( ( SV4 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( ~ ( SV112
@ ( sK8_SY24
@ ^ [SX0: $i] :
~ ( SV112 @ SX0 )
@ SV4 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK8_SY24
@ ^ [SX0: $i] :
~ ( SV112 @ SX0 )
@ SV4 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[204:[bind(SV11,$thf( ^ [SV111: $i] : ~ ( SV112 @ SV111 ) ))]]) ).
thf(261,plain,
! [SV4: $i > $o] :
( ( ( sK2_SY7 = sK2_SY7 )
= $false )
| ( ( SV4 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( ( sK8_SY24
@ ^ [SX0: $i] : ( SX0 = sK2_SY7 )
@ SV4 )
= sK2_SY7 )
= $true )
| ( ( sK4_SY18
@ ( sK8_SY24
@ ^ [SX0: $i] : ( SX0 = sK2_SY7 )
@ SV4 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[204:[bind(SV11,$thf( ^ [SV109: $i] : ( SV109 = sK2_SY7 ) ))]]) ).
thf(263,plain,
! [SV15: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV15 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK7_SY24
@ ^ [SX0: $i] : $true ) )
= $true )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[205:[bind(SV12,$thf( ^ [SV93: $i] : $true ))]]) ).
thf(265,plain,
! [SV91: $i > $o,SV15: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV15 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK7_SY24
@ ^ [SX0: $i] :
~ ( SV91 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV91
@ ( sK7_SY24
@ ^ [SX0: $i] :
~ ( SV91 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[205:[bind(SV12,$thf( ^ [SV90: $i] : ~ ( SV91 @ SV90 ) ))]]) ).
thf(269,plain,
! [SV12: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( $true = $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[205:[bind(SV15,$thf( ^ [SV100: $i] : $true ))]]) ).
thf(271,plain,
! [SV12: $i > $o,SV98: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( ~ ( SV98 @ sK1_Xa ) )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[205:[bind(SV15,$thf( ^ [SV97: $i] : ~ ( SV98 @ SV97 ) ))]]) ).
thf(272,plain,
! [SV12: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK1_Xa = sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[205:[bind(SV15,$thf( ^ [SV94: $i] : ( SV94 = sK1_Xa ) ))]]) ).
thf(275,plain,
! [SV12: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( $true = $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[206:[bind(SV16,$thf( ^ [SV86: $i] : $true ))]]) ).
thf(277,plain,
! [SV12: $i > $o,SV84: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( ~ ( SV84 @ sK1_Xa ) )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[206:[bind(SV16,$thf( ^ [SV83: $i] : ~ ( SV84 @ SV83 ) ))]]) ).
thf(278,plain,
! [SV12: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK1_Xa = sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[206:[bind(SV16,$thf( ^ [SV80: $i] : ( SV80 = sK1_Xa ) ))]]) ).
thf(282,plain,
! [SV16: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV16 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( $false = $true )
| ( ( sK4_SY18
@ ( sK7_SY24
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(prim_subst,[status(thm)],[206:[bind(SV12,$thf( ^ [SV92: $i] : $false ))]]) ).
thf(283,plain,
! [SV91: $i > $o,SV16: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV16 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( ~ ( SV91
@ ( sK7_SY24
@ ^ [SX0: $i] :
~ ( SV91 @ SX0 ) ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK7_SY24
@ ^ [SX0: $i] :
~ ( SV91 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[206:[bind(SV12,$thf( ^ [SV90: $i] : ~ ( SV91 @ SV90 ) ))]]) ).
thf(284,plain,
! [SV16: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV16 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( ( sK7_SY24
@ ^ [SX0: $i] : ( SX0 = sK1_Xa ) )
= sK1_Xa )
= $true )
| ( ( sK4_SY18
@ ( sK7_SY24
@ ^ [SX0: $i] : ( SX0 = sK1_Xa ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[206:[bind(SV12,$thf( ^ [SV87: $i] : ( SV87 = sK1_Xa ) ))]]) ).
thf(285,plain,
! [SV16: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV16 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( ( sK7_SY24
@ ^ [SX0: $i] : ( SX0 = sK2_SY7 ) )
= sK2_SY7 )
= $true )
| ( ( sK4_SY18
@ ( sK7_SY24
@ ^ [SX0: $i] : ( SX0 = sK2_SY7 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[206:[bind(SV12,$thf( ^ [SV88: $i] : ( SV88 = sK2_SY7 ) ))]]) ).
thf(286,plain,
! [SV16: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV16 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( ( sK7_SY24
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) )
= sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK7_SY24
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[206:[bind(SV12,$thf( ^ [SV89: $i] : ( SV89 = sK3_SY13 ) ))]]) ).
thf(287,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ sK3_SY13 )
= $false )
| ( ( SV1 @ sK1_Xa )
= $false )
| ( $true = $false )
| ( ( sK4_SY18
@ ( sK12_SY24
@ ^ [SX0: $i] : $true
@ SV1 ) )
= $true )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[207:[bind(SV7,$thf( ^ [SV72: $i] : $true ))]]) ).
thf(289,plain,
! [SV70: $i > $o,SV1: $i > $o] :
( ( ( SV1 @ sK3_SY13 )
= $false )
| ( ( SV1 @ sK1_Xa )
= $false )
| ( ( ~ ( SV70 @ sK2_SY7 ) )
= $false )
| ( ( sK4_SY18
@ ( sK12_SY24
@ ^ [SX0: $i] :
~ ( SV70 @ SX0 )
@ SV1 ) )
= $true )
| ( ( ~ ( SV70
@ ( sK12_SY24
@ ^ [SX0: $i] :
~ ( SV70 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[207:[bind(SV7,$thf( ^ [SV69: $i] : ~ ( SV70 @ SV69 ) ))]]) ).
thf(293,plain,
! [SV7: $i > $o] :
( ( $true = $false )
| ( $true = $false )
| ( ( SV7 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( SV7
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[207:[bind(SV1,$thf( ^ [SV79: $i] : $true ))]]) ).
thf(295,plain,
! [SV7: $i > $o,SV77: $i > $o] :
( ( ( ~ ( SV77 @ sK3_SY13 ) )
= $false )
| ( ( ~ ( SV77 @ sK1_Xa ) )
= $false )
| ( ( SV7 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] :
~ ( SV77 @ SX0 ) ) )
= $true )
| ( ( SV7
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] :
~ ( SV77 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[207:[bind(SV1,$thf( ^ [SV76: $i] : ~ ( SV77 @ SV76 ) ))]]) ).
thf(301,plain,
! [SV70: $i > $o,SV1: $i > $o] :
( ( ( SV1 @ sK3_SY13 )
= $false )
| ( ( SV1 @ sK1_Xa )
= $false )
| ( ( ~ ( SV70 @ sK2_SY7 ) )
= $false )
| ( ( ~ ( SV70
@ ( sK12_SY24
@ ^ [SX0: $i] :
~ ( SV70 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK12_SY24
@ ^ [SX0: $i] :
~ ( SV70 @ SX0 )
@ SV1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[208:[bind(SV7,$thf( ^ [SV69: $i] : ~ ( SV70 @ SV69 ) ))]]) ).
thf(303,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ sK3_SY13 )
= $false )
| ( ( SV1 @ sK1_Xa )
= $false )
| ( ( sK2_SY7 = sK2_SY7 )
= $false )
| ( ( ( sK12_SY24
@ ^ [SX0: $i] : ( SX0 = sK2_SY7 )
@ SV1 )
= sK2_SY7 )
= $true )
| ( ( sK4_SY18
@ ( sK12_SY24
@ ^ [SX0: $i] : ( SX0 = sK2_SY7 )
@ SV1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[208:[bind(SV7,$thf( ^ [SV67: $i] : ( SV67 = sK2_SY7 ) ))]]) ).
thf(305,plain,
! [SV7: $i > $o] :
( ( $true = $false )
| ( $true = $false )
| ( ( SV7 @ sK2_SY7 )
= $false )
| ( ( SV7
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( sK4_SY18
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[208:[bind(SV1,$thf( ^ [SV79: $i] : $true ))]]) ).
thf(307,plain,
! [SV7: $i > $o,SV77: $i > $o] :
( ( ( ~ ( SV77 @ sK3_SY13 ) )
= $false )
| ( ( ~ ( SV77 @ sK1_Xa ) )
= $false )
| ( ( SV7 @ sK2_SY7 )
= $false )
| ( ( SV7
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] :
~ ( SV77 @ SX0 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] :
~ ( SV77 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[208:[bind(SV1,$thf( ^ [SV76: $i] : ~ ( SV77 @ SV76 ) ))]]) ).
thf(311,plain,
! [SV13: $i > $o] :
( ( ( SV13 @ sK3_SY13 )
= $false )
| ( ( SV13 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK11_SY24
@ ^ [SX0: $i] : $true ) )
= $true )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[209:[bind(SV8,$thf( ^ [SV58: $i] : $true ))]]) ).
thf(313,plain,
! [SV56: $i > $o,SV13: $i > $o] :
( ( ( SV13 @ sK3_SY13 )
= $false )
| ( ( SV13 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK11_SY24
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV56
@ ( sK11_SY24
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[209:[bind(SV8,$thf( ^ [SV55: $i] : ~ ( SV56 @ SV55 ) ))]]) ).
thf(317,plain,
! [SV8: $i > $o] :
( ( $true = $false )
| ( $true = $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[209:[bind(SV13,$thf( ^ [SV65: $i] : $true ))]]) ).
thf(319,plain,
! [SV8: $i > $o,SV63: $i > $o] :
( ( ( ~ ( SV63 @ sK3_SY13 ) )
= $false )
| ( ( ~ ( SV63 @ sK1_Xa ) )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[209:[bind(SV13,$thf( ^ [SV62: $i] : ~ ( SV63 @ SV62 ) ))]]) ).
thf(323,plain,
! [SV8: $i > $o] :
( ( $true = $false )
| ( $true = $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[210:[bind(SV14,$thf( ^ [SV51: $i] : $true ))]]) ).
thf(325,plain,
! [SV8: $i > $o,SV49: $i > $o] :
( ( ( ~ ( SV49 @ sK3_SY13 ) )
= $false )
| ( ( ~ ( SV49 @ sK1_Xa ) )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[210:[bind(SV14,$thf( ^ [SV48: $i] : ~ ( SV49 @ SV48 ) ))]]) ).
thf(330,plain,
! [SV14: $i > $o] :
( ( ( SV14 @ sK3_SY13 )
= $false )
| ( ( SV14 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( $false = $true )
| ( ( sK4_SY18
@ ( sK11_SY24
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(prim_subst,[status(thm)],[210:[bind(SV8,$thf( ^ [SV57: $i] : $false ))]]) ).
thf(331,plain,
! [SV56: $i > $o,SV14: $i > $o] :
( ( ( SV14 @ sK3_SY13 )
= $false )
| ( ( SV14 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( ~ ( SV56
@ ( sK11_SY24
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK11_SY24
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[210:[bind(SV8,$thf( ^ [SV55: $i] : ~ ( SV56 @ SV55 ) ))]]) ).
thf(332,plain,
! [SV14: $i > $o] :
( ( ( SV14 @ sK3_SY13 )
= $false )
| ( ( SV14 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( ( sK11_SY24
@ ^ [SX0: $i] : ( SX0 = sK1_Xa ) )
= sK1_Xa )
= $true )
| ( ( sK4_SY18
@ ( sK11_SY24
@ ^ [SX0: $i] : ( SX0 = sK1_Xa ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[210:[bind(SV8,$thf( ^ [SV52: $i] : ( SV52 = sK1_Xa ) ))]]) ).
thf(333,plain,
! [SV14: $i > $o] :
( ( ( SV14 @ sK3_SY13 )
= $false )
| ( ( SV14 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( ( sK11_SY24
@ ^ [SX0: $i] : ( SX0 = sK2_SY7 ) )
= sK2_SY7 )
= $true )
| ( ( sK4_SY18
@ ( sK11_SY24
@ ^ [SX0: $i] : ( SX0 = sK2_SY7 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[210:[bind(SV8,$thf( ^ [SV53: $i] : ( SV53 = sK2_SY7 ) ))]]) ).
thf(334,plain,
! [SV14: $i > $o] :
( ( ( SV14 @ sK3_SY13 )
= $false )
| ( ( SV14 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( ( sK11_SY24
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) )
= sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK11_SY24
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[210:[bind(SV8,$thf( ^ [SV54: $i] : ( SV54 = sK3_SY13 ) ))]]) ).
thf(335,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ sK3_SY13 )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( ( sK4_SY18
@ ( sK10_SY24
@ ^ [SX0: $i] : $true
@ SV2 ) )
= $true )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[211:[bind(SV9,$thf( ^ [SV37: $i] : $true ))]]) ).
thf(337,plain,
! [SV35: $i > $o,SV2: $i > $o] :
( ( ( SV2 @ sK3_SY13 )
= $false )
| ( ( ~ ( SV35 @ sK1_Xa ) )
= $false )
| ( ( ~ ( SV35 @ sK2_SY7 ) )
= $false )
| ( ( sK4_SY18
@ ( sK10_SY24
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 )
@ SV2 ) )
= $true )
| ( ( ~ ( SV35
@ ( sK10_SY24
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 )
@ SV2 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[211:[bind(SV9,$thf( ^ [SV34: $i] : ~ ( SV35 @ SV34 ) ))]]) ).
thf(341,plain,
! [SV9: $i > $o] :
( ( $true = $false )
| ( ( SV9 @ sK1_Xa )
= $false )
| ( ( SV9 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( SV9
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[211:[bind(SV2,$thf( ^ [SV44: $i] : $true ))]]) ).
thf(343,plain,
! [SV9: $i > $o,SV42: $i > $o] :
( ( ( ~ ( SV42 @ sK3_SY13 ) )
= $false )
| ( ( SV9 @ sK1_Xa )
= $false )
| ( ( SV9 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] :
~ ( SV42 @ SX0 ) ) )
= $true )
| ( ( SV9
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] :
~ ( SV42 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[211:[bind(SV2,$thf( ^ [SV41: $i] : ~ ( SV42 @ SV41 ) ))]]) ).
thf(346,plain,
! [SV9: $i > $o] :
( ( ( sK3_SY13 = sK3_SY13 )
= $false )
| ( ( SV9 @ sK1_Xa )
= $false )
| ( ( SV9 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) ) )
= $true )
| ( ( SV9
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[211:[bind(SV2,$thf( ^ [SV40: $i] : ( SV40 = sK3_SY13 ) ))]]) ).
thf(349,plain,
! [SV35: $i > $o,SV2: $i > $o] :
( ( ( SV2 @ sK3_SY13 )
= $false )
| ( ( ~ ( SV35 @ sK1_Xa ) )
= $false )
| ( ( ~ ( SV35 @ sK2_SY7 ) )
= $false )
| ( ( ~ ( SV35
@ ( sK10_SY24
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 )
@ SV2 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK10_SY24
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 )
@ SV2 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[212:[bind(SV9,$thf( ^ [SV34: $i] : ~ ( SV35 @ SV34 ) ))]]) ).
thf(353,plain,
! [SV9: $i > $o] :
( ( $true = $false )
| ( ( SV9 @ sK1_Xa )
= $false )
| ( ( SV9 @ sK2_SY7 )
= $false )
| ( ( SV9
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( sK4_SY18
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[212:[bind(SV2,$thf( ^ [SV44: $i] : $true ))]]) ).
thf(355,plain,
! [SV9: $i > $o,SV42: $i > $o] :
( ( ( ~ ( SV42 @ sK3_SY13 ) )
= $false )
| ( ( SV9 @ sK1_Xa )
= $false )
| ( ( SV9 @ sK2_SY7 )
= $false )
| ( ( SV9
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] :
~ ( SV42 @ SX0 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] :
~ ( SV42 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[212:[bind(SV2,$thf( ^ [SV41: $i] : ~ ( SV42 @ SV41 ) ))]]) ).
thf(358,plain,
! [SV9: $i > $o] :
( ( ( sK3_SY13 = sK3_SY13 )
= $false )
| ( ( SV9 @ sK1_Xa )
= $false )
| ( ( SV9 @ sK2_SY7 )
= $false )
| ( ( SV9
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[212:[bind(SV2,$thf( ^ [SV40: $i] : ( SV40 = sK3_SY13 ) ))]]) ).
thf(359,plain,
! [SV3: $i > $o] :
( ( ( SV3 @ sK3_SY13 )
= $false )
| ( $true = $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK9_SY24
@ ^ [SX0: $i] : $true
@ SV3 ) )
= $true )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[213:[bind(SV10,$thf( ^ [SV23: $i] : $true ))]]) ).
thf(361,plain,
! [SV21: $i > $o,SV3: $i > $o] :
( ( ( SV3 @ sK3_SY13 )
= $false )
| ( ( ~ ( SV21 @ sK1_Xa ) )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK9_SY24
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV3 ) )
= $true )
| ( ( ~ ( SV21
@ ( sK9_SY24
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV3 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[213:[bind(SV10,$thf( ^ [SV20: $i] : ~ ( SV21 @ SV20 ) ))]]) ).
thf(365,plain,
! [SV10: $i > $o] :
( ( $true = $false )
| ( ( SV10 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( SV10
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[213:[bind(SV3,$thf( ^ [SV30: $i] : $true ))]]) ).
thf(367,plain,
! [SV10: $i > $o,SV28: $i > $o] :
( ( ( ~ ( SV28 @ sK3_SY13 ) )
= $false )
| ( ( SV10 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] :
~ ( SV28 @ SX0 ) ) )
= $true )
| ( ( SV10
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] :
~ ( SV28 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[213:[bind(SV3,$thf( ^ [SV27: $i] : ~ ( SV28 @ SV27 ) ))]]) ).
thf(370,plain,
! [SV10: $i > $o] :
( ( ( sK3_SY13 = sK3_SY13 )
= $false )
| ( ( SV10 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) ) )
= $true )
| ( ( SV10
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[213:[bind(SV3,$thf( ^ [SV26: $i] : ( SV26 = sK3_SY13 ) ))]]) ).
thf(373,plain,
! [SV21: $i > $o,SV3: $i > $o] :
( ( ( SV3 @ sK3_SY13 )
= $false )
| ( ( ~ ( SV21 @ sK1_Xa ) )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( ~ ( SV21
@ ( sK9_SY24
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV3 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK9_SY24
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV3 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[214:[bind(SV10,$thf( ^ [SV20: $i] : ~ ( SV21 @ SV20 ) ))]]) ).
thf(374,plain,
! [SV3: $i > $o] :
( ( ( SV3 @ sK3_SY13 )
= $false )
| ( ( sK1_Xa = sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( ( sK9_SY24
@ ^ [SX0: $i] : ( SX0 = sK1_Xa )
@ SV3 )
= sK1_Xa )
= $true )
| ( ( sK4_SY18
@ ( sK9_SY24
@ ^ [SX0: $i] : ( SX0 = sK1_Xa )
@ SV3 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[214:[bind(SV10,$thf( ^ [SV17: $i] : ( SV17 = sK1_Xa ) ))]]) ).
thf(377,plain,
! [SV10: $i > $o] :
( ( $true = $false )
| ( ( SV10 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV10
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( sK4_SY18
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[214:[bind(SV3,$thf( ^ [SV30: $i] : $true ))]]) ).
thf(379,plain,
! [SV10: $i > $o,SV28: $i > $o] :
( ( ( ~ ( SV28 @ sK3_SY13 ) )
= $false )
| ( ( SV10 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV10
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] :
~ ( SV28 @ SX0 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] :
~ ( SV28 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[214:[bind(SV3,$thf( ^ [SV27: $i] : ~ ( SV28 @ SV27 ) ))]]) ).
thf(382,plain,
! [SV10: $i > $o] :
( ( ( sK3_SY13 = sK3_SY13 )
= $false )
| ( ( SV10 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV10
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[214:[bind(SV3,$thf( ^ [SV26: $i] : ( SV26 = sK3_SY13 ) ))]]) ).
thf(383,plain,
! [SV126: $i > $o] :
( ( ( SV126 @ sK2_SY7 )
= $true )
| ( ( ~ ( SV126 @ sK1_Xa ) )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK6_SY24
@ ^ [SX0: $i] :
~ ( SV126 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV126
@ ( sK6_SY24
@ ^ [SX0: $i] :
~ ( SV126 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(384,plain,
! [SV126: $i > $o] :
( ( ( SV126 @ sK2_SY7 )
= $true )
| ( ( ~ ( SV126 @ sK1_Xa ) )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( ~ ( SV126
@ ( sK6_SY24
@ ^ [SX0: $i] :
~ ( SV126 @ SX0 ) ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK6_SY24
@ ^ [SX0: $i] :
~ ( SV126 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(385,plain,
! [SV119: $i > $o] :
( ( ( SV119 @ sK1_Xa )
= $true )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK5_SY24
@ ^ [SX0: $i] :
~ ( SV119 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV119
@ ( sK5_SY24
@ ^ [SX0: $i] :
~ ( SV119 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(386,plain,
! [SV119: $i > $o] :
( ( ( SV119 @ sK1_Xa )
= $true )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( ~ ( SV119
@ ( sK5_SY24
@ ^ [SX0: $i] :
~ ( SV119 @ SX0 ) ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK5_SY24
@ ^ [SX0: $i] :
~ ( SV119 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(387,plain,
! [SV11: $i > $o,SV105: $i > $o] :
( ( ( SV105 @ sK1_Xa )
= $true )
| ( ( SV11 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] :
~ ( SV105 @ SX0 ) ) )
= $true )
| ( ( SV11
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] :
~ ( SV105 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(388,plain,
! [SV4: $i > $o,SV112: $i > $o] :
( ( ( SV112 @ sK2_SY7 )
= $true )
| ( ( SV4 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK8_SY24
@ ^ [SX0: $i] :
~ ( SV112 @ SX0 )
@ SV4 ) )
= $true )
| ( ( ~ ( SV112
@ ( sK8_SY24
@ ^ [SX0: $i] :
~ ( SV112 @ SX0 )
@ SV4 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(389,plain,
! [SV11: $i > $o,SV105: $i > $o] :
( ( ( SV105 @ sK1_Xa )
= $true )
| ( ( SV11 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV11
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] :
~ ( SV105 @ SX0 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] :
~ ( SV105 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(390,plain,
! [SV4: $i > $o,SV112: $i > $o] :
( ( ( SV112 @ sK2_SY7 )
= $true )
| ( ( SV4 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( ~ ( SV112
@ ( sK8_SY24
@ ^ [SX0: $i] :
~ ( SV112 @ SX0 )
@ SV4 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK8_SY24
@ ^ [SX0: $i] :
~ ( SV112 @ SX0 )
@ SV4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(391,plain,
! [SV15: $i > $o,SV91: $i > $o] :
( ( ( SV91
@ ( sK7_SY24
@ ^ [SX0: $i] :
~ ( SV91 @ SX0 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK7_SY24
@ ^ [SX0: $i] :
~ ( SV91 @ SX0 ) ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV15 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(392,plain,
! [SV12: $i > $o,SV98: $i > $o] :
( ( ( SV98 @ sK1_Xa )
= $true )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(393,plain,
! [SV12: $i > $o,SV84: $i > $o] :
( ( ( SV84 @ sK1_Xa )
= $true )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(394,plain,
! [SV16: $i > $o,SV91: $i > $o] :
( ( ( SV91
@ ( sK7_SY24
@ ^ [SX0: $i] :
~ ( SV91 @ SX0 ) ) )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV16 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK7_SY24
@ ^ [SX0: $i] :
~ ( SV91 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(395,plain,
! [SV1: $i > $o,SV70: $i > $o] :
( ( ( SV70 @ sK2_SY7 )
= $true )
| ( ( SV1 @ sK1_Xa )
= $false )
| ( ( SV1 @ sK3_SY13 )
= $false )
| ( ( sK4_SY18
@ ( sK12_SY24
@ ^ [SX0: $i] :
~ ( SV70 @ SX0 )
@ SV1 ) )
= $true )
| ( ( ~ ( SV70
@ ( sK12_SY24
@ ^ [SX0: $i] :
~ ( SV70 @ SX0 )
@ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(396,plain,
! [SV7: $i > $o,SV77: $i > $o] :
( ( ( SV77 @ sK3_SY13 )
= $true )
| ( ( ~ ( SV77 @ sK1_Xa ) )
= $false )
| ( ( SV7 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] :
~ ( SV77 @ SX0 ) ) )
= $true )
| ( ( SV7
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] :
~ ( SV77 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(397,plain,
! [SV1: $i > $o,SV70: $i > $o] :
( ( ( SV70 @ sK2_SY7 )
= $true )
| ( ( SV1 @ sK1_Xa )
= $false )
| ( ( SV1 @ sK3_SY13 )
= $false )
| ( ( ~ ( SV70
@ ( sK12_SY24
@ ^ [SX0: $i] :
~ ( SV70 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK12_SY24
@ ^ [SX0: $i] :
~ ( SV70 @ SX0 )
@ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(398,plain,
! [SV7: $i > $o,SV77: $i > $o] :
( ( ( SV77 @ sK3_SY13 )
= $true )
| ( ( ~ ( SV77 @ sK1_Xa ) )
= $false )
| ( ( SV7 @ sK2_SY7 )
= $false )
| ( ( SV7
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] :
~ ( SV77 @ SX0 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] :
~ ( SV77 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(399,plain,
! [SV13: $i > $o,SV56: $i > $o] :
( ( ( SV56
@ ( sK11_SY24
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK11_SY24
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) ) )
= $true )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV13 @ sK1_Xa )
= $false )
| ( ( SV13 @ sK3_SY13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(400,plain,
! [SV8: $i > $o,SV63: $i > $o] :
( ( ( SV63 @ sK3_SY13 )
= $true )
| ( ( ~ ( SV63 @ sK1_Xa ) )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(401,plain,
! [SV8: $i > $o,SV49: $i > $o] :
( ( ( SV49 @ sK3_SY13 )
= $true )
| ( ( ~ ( SV49 @ sK1_Xa ) )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(402,plain,
! [SV14: $i > $o,SV56: $i > $o] :
( ( ( SV56
@ ( sK11_SY24
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) ) )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV14 @ sK1_Xa )
= $false )
| ( ( SV14 @ sK3_SY13 )
= $false )
| ( ( sK4_SY18
@ ( sK11_SY24
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(403,plain,
! [SV2: $i > $o,SV35: $i > $o] :
( ( ( SV35 @ sK1_Xa )
= $true )
| ( ( SV2 @ sK3_SY13 )
= $false )
| ( ( ~ ( SV35 @ sK2_SY7 ) )
= $false )
| ( ( sK4_SY18
@ ( sK10_SY24
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 )
@ SV2 ) )
= $true )
| ( ( ~ ( SV35
@ ( sK10_SY24
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 )
@ SV2 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(404,plain,
! [SV9: $i > $o,SV42: $i > $o] :
( ( ( SV42 @ sK3_SY13 )
= $true )
| ( ( SV9 @ sK1_Xa )
= $false )
| ( ( SV9 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] :
~ ( SV42 @ SX0 ) ) )
= $true )
| ( ( SV9
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] :
~ ( SV42 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(405,plain,
! [SV2: $i > $o,SV35: $i > $o] :
( ( ( SV35 @ sK1_Xa )
= $true )
| ( ( SV2 @ sK3_SY13 )
= $false )
| ( ( ~ ( SV35 @ sK2_SY7 ) )
= $false )
| ( ( ~ ( SV35
@ ( sK10_SY24
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 )
@ SV2 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK10_SY24
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 )
@ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(406,plain,
! [SV9: $i > $o,SV42: $i > $o] :
( ( ( SV42 @ sK3_SY13 )
= $true )
| ( ( SV9 @ sK1_Xa )
= $false )
| ( ( SV9 @ sK2_SY7 )
= $false )
| ( ( SV9
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] :
~ ( SV42 @ SX0 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] :
~ ( SV42 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(407,plain,
! [SV3: $i > $o,SV21: $i > $o] :
( ( ( SV21 @ sK1_Xa )
= $true )
| ( ( SV3 @ sK3_SY13 )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK9_SY24
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV3 ) )
= $true )
| ( ( ~ ( SV21
@ ( sK9_SY24
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV3 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(408,plain,
! [SV10: $i > $o,SV28: $i > $o] :
( ( ( SV28 @ sK3_SY13 )
= $true )
| ( ( SV10 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] :
~ ( SV28 @ SX0 ) ) )
= $true )
| ( ( SV10
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] :
~ ( SV28 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(409,plain,
! [SV3: $i > $o,SV21: $i > $o] :
( ( ( SV21 @ sK1_Xa )
= $true )
| ( ( SV3 @ sK3_SY13 )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( ~ ( SV21
@ ( sK9_SY24
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV3 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK9_SY24
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(410,plain,
! [SV10: $i > $o,SV28: $i > $o] :
( ( ( SV28 @ sK3_SY13 )
= $true )
| ( ( SV10 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV10
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] :
~ ( SV28 @ SX0 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] :
~ ( SV28 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(411,plain,
! [SV126: $i > $o] :
( ( ( SV126 @ sK1_Xa )
= $true )
| ( ( SV126 @ sK2_SY7 )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK6_SY24
@ ^ [SX0: $i] :
~ ( SV126 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV126
@ ( sK6_SY24
@ ^ [SX0: $i] :
~ ( SV126 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(412,plain,
! [SV126: $i > $o] :
( ( ( SV126 @ sK1_Xa )
= $true )
| ( ( SV126 @ sK2_SY7 )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( ~ ( SV126
@ ( sK6_SY24
@ ^ [SX0: $i] :
~ ( SV126 @ SX0 ) ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK6_SY24
@ ^ [SX0: $i] :
~ ( SV126 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(413,plain,
! [SV119: $i > $o] :
( ( ( SV119
@ ( sK5_SY24
@ ^ [SX0: $i] :
~ ( SV119 @ SX0 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK5_SY24
@ ^ [SX0: $i] :
~ ( SV119 @ SX0 ) ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV119 @ sK1_Xa )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(414,plain,
! [SV119: $i > $o] :
( ( ( SV119
@ ( sK5_SY24
@ ^ [SX0: $i] :
~ ( SV119 @ SX0 ) ) )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV119 @ sK1_Xa )
= $true )
| ( ( sK4_SY18
@ ( sK5_SY24
@ ^ [SX0: $i] :
~ ( SV119 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(415,plain,
! [SV4: $i > $o,SV112: $i > $o] :
( ( ( SV112
@ ( sK8_SY24
@ ^ [SX0: $i] :
~ ( SV112 @ SX0 )
@ SV4 ) )
= $true )
| ( ( sK4_SY18
@ ( sK8_SY24
@ ^ [SX0: $i] :
~ ( SV112 @ SX0 )
@ SV4 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV4 @ sK1_Xa )
= $false )
| ( ( SV112 @ sK2_SY7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(416,plain,
! [SV4: $i > $o,SV112: $i > $o] :
( ( ( SV112
@ ( sK8_SY24
@ ^ [SX0: $i] :
~ ( SV112 @ SX0 )
@ SV4 ) )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV4 @ sK1_Xa )
= $false )
| ( ( SV112 @ sK2_SY7 )
= $true )
| ( ( sK4_SY18
@ ( sK8_SY24
@ ^ [SX0: $i] :
~ ( SV112 @ SX0 )
@ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(417,plain,
! [SV1: $i > $o,SV70: $i > $o] :
( ( ( SV70
@ ( sK12_SY24
@ ^ [SX0: $i] :
~ ( SV70 @ SX0 )
@ SV1 ) )
= $true )
| ( ( sK4_SY18
@ ( sK12_SY24
@ ^ [SX0: $i] :
~ ( SV70 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY13 )
= $false )
| ( ( SV1 @ sK1_Xa )
= $false )
| ( ( SV70 @ sK2_SY7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(418,plain,
! [SV7: $i > $o,SV77: $i > $o] :
( ( ( SV77 @ sK1_Xa )
= $true )
| ( ( SV77 @ sK3_SY13 )
= $true )
| ( ( SV7 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] :
~ ( SV77 @ SX0 ) ) )
= $true )
| ( ( SV7
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] :
~ ( SV77 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(419,plain,
! [SV1: $i > $o,SV70: $i > $o] :
( ( ( SV70
@ ( sK12_SY24
@ ^ [SX0: $i] :
~ ( SV70 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ sK3_SY13 )
= $false )
| ( ( SV1 @ sK1_Xa )
= $false )
| ( ( SV70 @ sK2_SY7 )
= $true )
| ( ( sK4_SY18
@ ( sK12_SY24
@ ^ [SX0: $i] :
~ ( SV70 @ SX0 )
@ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(420,plain,
! [SV7: $i > $o,SV77: $i > $o] :
( ( ( SV77 @ sK1_Xa )
= $true )
| ( ( SV77 @ sK3_SY13 )
= $true )
| ( ( SV7 @ sK2_SY7 )
= $false )
| ( ( SV7
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] :
~ ( SV77 @ SX0 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] :
~ ( SV77 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(421,plain,
! [SV8: $i > $o,SV63: $i > $o] :
( ( ( SV63 @ sK1_Xa )
= $true )
| ( ( SV63 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(422,plain,
! [SV8: $i > $o,SV49: $i > $o] :
( ( ( SV49 @ sK1_Xa )
= $true )
| ( ( SV49 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(423,plain,
! [SV2: $i > $o,SV35: $i > $o] :
( ( ( SV35 @ sK2_SY7 )
= $true )
| ( ( SV2 @ sK3_SY13 )
= $false )
| ( ( SV35 @ sK1_Xa )
= $true )
| ( ( sK4_SY18
@ ( sK10_SY24
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 )
@ SV2 ) )
= $true )
| ( ( ~ ( SV35
@ ( sK10_SY24
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 )
@ SV2 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(424,plain,
! [SV2: $i > $o,SV35: $i > $o] :
( ( ( SV35 @ sK2_SY7 )
= $true )
| ( ( SV2 @ sK3_SY13 )
= $false )
| ( ( SV35 @ sK1_Xa )
= $true )
| ( ( ~ ( SV35
@ ( sK10_SY24
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 )
@ SV2 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK10_SY24
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 )
@ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(425,plain,
! [SV3: $i > $o,SV21: $i > $o] :
( ( ( SV21
@ ( sK9_SY24
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV3 ) )
= $true )
| ( ( sK4_SY18
@ ( sK9_SY24
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV3 ) )
= $true )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV3 @ sK3_SY13 )
= $false )
| ( ( SV21 @ sK1_Xa )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(426,plain,
! [SV3: $i > $o,SV21: $i > $o] :
( ( ( SV21
@ ( sK9_SY24
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV3 ) )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV3 @ sK3_SY13 )
= $false )
| ( ( SV21 @ sK1_Xa )
= $true )
| ( ( sK4_SY18
@ ( sK9_SY24
@ ^ [SX0: $i] :
~ ( SV21 @ SX0 )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(427,plain,
! [SV126: $i > $o] :
( ( ( SV126
@ ( sK6_SY24
@ ^ [SX0: $i] :
~ ( SV126 @ SX0 ) ) )
= $true )
| ( ( sK4_SY18
@ ( sK6_SY24
@ ^ [SX0: $i] :
~ ( SV126 @ SX0 ) ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV126 @ sK2_SY7 )
= $true )
| ( ( SV126 @ sK1_Xa )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[411]) ).
thf(428,plain,
! [SV126: $i > $o] :
( ( ( SV126
@ ( sK6_SY24
@ ^ [SX0: $i] :
~ ( SV126 @ SX0 ) ) )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV126 @ sK2_SY7 )
= $true )
| ( ( SV126 @ sK1_Xa )
= $true )
| ( ( sK4_SY18
@ ( sK6_SY24
@ ^ [SX0: $i] :
~ ( SV126 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(429,plain,
! [SV2: $i > $o,SV35: $i > $o] :
( ( ( SV35
@ ( sK10_SY24
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 )
@ SV2 ) )
= $true )
| ( ( sK4_SY18
@ ( sK10_SY24
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 )
@ SV2 ) )
= $true )
| ( ( SV35 @ sK1_Xa )
= $true )
| ( ( SV2 @ sK3_SY13 )
= $false )
| ( ( SV35 @ sK2_SY7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(430,plain,
! [SV2: $i > $o,SV35: $i > $o] :
( ( ( SV35
@ ( sK10_SY24
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 )
@ SV2 ) )
= $false )
| ( ( SV35 @ sK1_Xa )
= $true )
| ( ( SV2 @ sK3_SY13 )
= $false )
| ( ( SV35 @ sK2_SY7 )
= $true )
| ( ( sK4_SY18
@ ( sK10_SY24
@ ^ [SX0: $i] :
~ ( SV35 @ SX0 )
@ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(431,plain,
( ( ( sK4_SY18
@ ( sK5_SY24
@ ^ [SX0: $i] : ( SX0 = sK1_Xa ) ) )
= $false )
| ( ( ( sK5_SY24
@ ^ [SX0: $i] : ( SX0 = sK1_Xa ) )
= sK1_Xa )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false ) ),
inference(extuni,[status(esa)],[236]) ).
thf(432,plain,
! [SV11: $i > $o] :
( ( ( SV11
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] : ( SX0 = sK1_Xa ) ) )
= $false )
| ( ( sK4_SY18
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] : ( SX0 = sK1_Xa ) ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV11 @ sK2_SY7 )
= $false ) ),
inference(extuni,[status(esa)],[242]) ).
thf(433,plain,
! [SV11: $i > $o] :
( ( ( sK4_SY18
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] : ( SX0 = sK1_Xa ) ) )
= $false )
| ( ( SV11
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] : ( SX0 = sK1_Xa ) ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV11 @ sK2_SY7 )
= $false ) ),
inference(extuni,[status(esa)],[254]) ).
thf(434,plain,
! [SV4: $i > $o] :
( ( ( sK4_SY18
@ ( sK8_SY24
@ ^ [SX0: $i] : ( SX0 = sK2_SY7 )
@ SV4 ) )
= $false )
| ( ( ( sK8_SY24
@ ^ [SX0: $i] : ( SX0 = sK2_SY7 )
@ SV4 )
= sK2_SY7 )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV4 @ sK1_Xa )
= $false ) ),
inference(extuni,[status(esa)],[261]) ).
thf(435,plain,
! [SV12: $i > $o] :
( ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $false )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false ) ),
inference(extuni,[status(esa)],[272]) ).
thf(436,plain,
! [SV12: $i > $o] :
( ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $false )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false ) ),
inference(extuni,[status(esa)],[278]) ).
thf(437,plain,
! [SV1: $i > $o] :
( ( ( sK4_SY18
@ ( sK12_SY24
@ ^ [SX0: $i] : ( SX0 = sK2_SY7 )
@ SV1 ) )
= $false )
| ( ( ( sK12_SY24
@ ^ [SX0: $i] : ( SX0 = sK2_SY7 )
@ SV1 )
= sK2_SY7 )
= $true )
| ( ( SV1 @ sK1_Xa )
= $false )
| ( ( SV1 @ sK3_SY13 )
= $false ) ),
inference(extuni,[status(esa)],[303]) ).
thf(438,plain,
! [SV9: $i > $o] :
( ( ( SV9
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) ) )
= $false )
| ( ( sK4_SY18
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) ) )
= $true )
| ( ( SV9 @ sK2_SY7 )
= $false )
| ( ( SV9 @ sK1_Xa )
= $false ) ),
inference(extuni,[status(esa)],[346]) ).
thf(439,plain,
! [SV9: $i > $o] :
( ( ( sK4_SY18
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) ) )
= $false )
| ( ( SV9
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) ) )
= $true )
| ( ( SV9 @ sK2_SY7 )
= $false )
| ( ( SV9 @ sK1_Xa )
= $false ) ),
inference(extuni,[status(esa)],[358]) ).
thf(440,plain,
! [SV10: $i > $o] :
( ( ( SV10
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) ) )
= $false )
| ( ( sK4_SY18
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) ) )
= $true )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV10 @ sK1_Xa )
= $false ) ),
inference(extuni,[status(esa)],[370]) ).
thf(441,plain,
! [SV3: $i > $o] :
( ( ( sK4_SY18
@ ( sK9_SY24
@ ^ [SX0: $i] : ( SX0 = sK1_Xa )
@ SV3 ) )
= $false )
| ( ( ( sK9_SY24
@ ^ [SX0: $i] : ( SX0 = sK1_Xa )
@ SV3 )
= sK1_Xa )
= $true )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV3 @ sK3_SY13 )
= $false ) ),
inference(extuni,[status(esa)],[374]) ).
thf(442,plain,
! [SV10: $i > $o] :
( ( ( sK4_SY18
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) ) )
= $false )
| ( ( SV10
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] : ( SX0 = sK3_SY13 ) ) )
= $true )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV10 @ sK1_Xa )
= $false ) ),
inference(extuni,[status(esa)],[382]) ).
thf(443,plain,
( ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK6_SY24
@ ^ [SX0: $i] : $true ) )
= $true ) ),
inference(sim,[status(thm)],[215]) ).
thf(444,plain,
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK5_SY24
@ ^ [SX0: $i] : $true ) )
= $true ) ),
inference(sim,[status(thm)],[227]) ).
thf(445,plain,
! [SV11: $i > $o] :
( ( ( SV11 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( SV11
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(sim,[status(thm)],[239]) ).
thf(446,plain,
! [SV4: $i > $o] :
( ( ( SV4 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK8_SY24
@ ^ [SX0: $i] : $true
@ SV4 ) )
= $true ) ),
inference(sim,[status(thm)],[245]) ).
thf(447,plain,
! [SV11: $i > $o] :
( ( ( SV11 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV11
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( sK4_SY18
@ ( sK8_SY24 @ SV11
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(sim,[status(thm)],[251]) ).
thf(448,plain,
! [SV15: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV15 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK7_SY24
@ ^ [SX0: $i] : $true ) )
= $true ) ),
inference(sim,[status(thm)],[263]) ).
thf(449,plain,
! [SV12: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(sim,[status(thm)],[269]) ).
thf(450,plain,
! [SV12: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( SV12 @ ( sK7_SY24 @ SV12 ) )
= $true )
| ( ( sK4_SY18 @ ( sK7_SY24 @ SV12 ) )
= $false ) ),
inference(sim,[status(thm)],[275]) ).
thf(451,plain,
! [SV16: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV16 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK3_SY13 )
= $true )
| ( ( sK4_SY18
@ ( sK7_SY24
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(sim,[status(thm)],[282]) ).
thf(452,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ sK3_SY13 )
= $false )
| ( ( SV1 @ sK1_Xa )
= $false )
| ( ( sK4_SY18
@ ( sK12_SY24
@ ^ [SX0: $i] : $true
@ SV1 ) )
= $true ) ),
inference(sim,[status(thm)],[287]) ).
thf(453,plain,
! [SV7: $i > $o] :
( ( ( SV7 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( SV7
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(sim,[status(thm)],[293]) ).
thf(454,plain,
! [SV7: $i > $o] :
( ( ( SV7 @ sK2_SY7 )
= $false )
| ( ( SV7
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( sK4_SY18
@ ( sK12_SY24 @ SV7
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(sim,[status(thm)],[305]) ).
thf(455,plain,
! [SV13: $i > $o] :
( ( ( SV13 @ sK3_SY13 )
= $false )
| ( ( SV13 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK11_SY24
@ ^ [SX0: $i] : $true ) )
= $true ) ),
inference(sim,[status(thm)],[311]) ).
thf(456,plain,
! [SV8: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(sim,[status(thm)],[317]) ).
thf(457,plain,
! [SV8: $i > $o] :
( ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV8 @ ( sK11_SY24 @ SV8 ) )
= $true )
| ( ( sK4_SY18 @ ( sK11_SY24 @ SV8 ) )
= $false ) ),
inference(sim,[status(thm)],[323]) ).
thf(458,plain,
! [SV14: $i > $o] :
( ( ( SV14 @ sK3_SY13 )
= $false )
| ( ( SV14 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK11_SY24
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(sim,[status(thm)],[330]) ).
thf(459,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ sK3_SY13 )
= $false )
| ( ( sK4_SY18
@ ( sK10_SY24
@ ^ [SX0: $i] : $true
@ SV2 ) )
= $true ) ),
inference(sim,[status(thm)],[335]) ).
thf(460,plain,
! [SV9: $i > $o] :
( ( ( SV9 @ sK1_Xa )
= $false )
| ( ( SV9 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( SV9
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(sim,[status(thm)],[341]) ).
thf(461,plain,
! [SV9: $i > $o] :
( ( ( SV9 @ sK1_Xa )
= $false )
| ( ( SV9 @ sK2_SY7 )
= $false )
| ( ( SV9
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( sK4_SY18
@ ( sK10_SY24 @ SV9
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(sim,[status(thm)],[353]) ).
thf(462,plain,
! [SV3: $i > $o] :
( ( ( SV3 @ sK3_SY13 )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK9_SY24
@ ^ [SX0: $i] : $true
@ SV3 ) )
= $true ) ),
inference(sim,[status(thm)],[359]) ).
thf(463,plain,
! [SV10: $i > $o] :
( ( ( SV10 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( sK4_SY18
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( SV10
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(sim,[status(thm)],[365]) ).
thf(464,plain,
! [SV10: $i > $o] :
( ( ( SV10 @ sK1_Xa )
= $false )
| ( ( sK4_SY18 @ sK2_SY7 )
= $false )
| ( ( SV10
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( sK4_SY18
@ ( sK9_SY24 @ SV10
@ ^ [SX0: $i] : $true ) )
= $false ) ),
inference(sim,[status(thm)],[377]) ).
thf(465,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[191,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,422,421,420,419,418,417,416,415,414,413,410,408,406,404,402,399,394,393,392,391,389,387,334,333,332,286,285,284,214,213,212,211,210,209,208,207,206,205,204,203,194,193,192]) ).
thf(466,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[465]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO264^5 : 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
% 0.08/0.18 % Computer : n011.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Oct 6 17:34:21 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.12/0.73
% 3.12/0.73 No.of.Axioms: 0
% 3.12/0.73
% 3.12/0.73 Length.of.Defs: 0
% 3.12/0.73
% 3.12/0.73 Contains.Choice.Funs: false
% 3.12/0.73 ...........
% 3.12/0.73
% 3.12/0.73 ********************************
% 3.12/0.73 * All subproblems solved! *
% 3.12/0.73 ********************************
% 3.12/0.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:465,loop_count:0,foatp_calls:2,translation:fof_full)
% 3.12/0.73
% 3.12/0.73 %**** Beginning of derivation protocol ****
% 3.12/0.73 % SZS output start CNFRefutation
% See solution above
% 3.12/0.74
% 3.12/0.74 %**** End of derivation protocol ****
% 3.12/0.74 %**** no. of clauses in derivation: 366 ****
% 3.12/0.74 %**** clause counter: 465 ****
% 3.12/0.74
% 3.12/0.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:465,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------