%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL636+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:24:33 EDT 2022
% Result : Theorem 0.78s 0.96s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 14
% Syntax : Number of formulae : 324 ( 118 unt; 13 typ; 0 def)
% Number of atoms : 5609 ( 764 equ; 0 cnn)
% Maximal formula atoms : 69 ( 18 avg)
% Number of connectives : 14642 (5512 ~;3594 |; 172 &;5360 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 841 ( 0 ^ 837 !; 4 ?; 841 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_p1,type,
p1: $i > $o ).
thf(tp_p100,type,
p100: $i > $o ).
thf(tp_p101,type,
p101: $i > $o ).
thf(tp_p102,type,
p102: $i > $o ).
thf(tp_p2,type,
p2: $i > $o ).
thf(tp_r1,type,
r1: $i > $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_SY31,type,
sK2_SY31: $i ).
thf(tp_sK3_SY30,type,
sK3_SY30: $i ).
thf(tp_sK4_X,type,
sK4_X: $i > $i ).
thf(tp_sK5_X,type,
sK5_X: $i > $i ).
thf(tp_sK6_REN,type,
sK6_REN: $o ).
thf(tp_sK7_REN,type,
sK7_REN: $o ).
thf(1,conjecture,
~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) ) ) )
| ~ ( ~ ( p101 @ Y )
& ( p100 @ Y ) ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p2 @ X )
| ~ ( p101 @ X ) )
| ( p2 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p2 @ X )
| ~ ( p101 @ X ) )
| ~ ( p2 @ Y ) ) )
| ~ ( p101 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X )
| ~ ( p100 @ X ) )
| ( p1 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X )
| ~ ( p100 @ X ) )
| ~ ( p1 @ Y ) ) )
| ~ ( p100 @ Y ) )
& ( ( p101 @ Y )
| ~ ( p102 @ Y ) )
& ( ( p100 @ Y )
| ~ ( p101 @ Y ) ) ) )
& ( ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) ) ) )
| ~ ( ~ ( p101 @ X )
& ( p100 @ X ) ) )
& ( ( ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p2 @ Y )
| ~ ( p101 @ Y ) )
| ( p2 @ X ) )
& ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y )
| ~ ( p101 @ Y ) )
| ~ ( p2 @ X ) ) )
| ~ ( p101 @ X ) )
& ( ( ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y )
| ~ ( p100 @ Y ) )
| ( p1 @ X ) )
& ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y )
| ~ ( p100 @ Y ) )
| ~ ( p1 @ X ) ) )
| ~ ( p100 @ X ) )
& ( ( p101 @ X )
| ~ ( p102 @ X ) )
& ( ( p100 @ X )
| ~ ( p101 @ X ) )
& ~ ( p101 @ X )
& ( p100 @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
thf(2,negated_conjecture,
( ( ~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) ) ) )
| ~ ( ~ ( p101 @ Y )
& ( p100 @ Y ) ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p2 @ X )
| ~ ( p101 @ X ) )
| ( p2 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p2 @ X )
| ~ ( p101 @ X ) )
| ~ ( p2 @ Y ) ) )
| ~ ( p101 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X )
| ~ ( p100 @ X ) )
| ( p1 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X )
| ~ ( p100 @ X ) )
| ~ ( p1 @ Y ) ) )
| ~ ( p100 @ Y ) )
& ( ( p101 @ Y )
| ~ ( p102 @ Y ) )
& ( ( p100 @ Y )
| ~ ( p101 @ Y ) ) ) )
& ( ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) ) ) )
| ~ ( ~ ( p101 @ X )
& ( p100 @ X ) ) )
& ( ( ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p2 @ Y )
| ~ ( p101 @ Y ) )
| ( p2 @ X ) )
& ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y )
| ~ ( p101 @ Y ) )
| ~ ( p2 @ X ) ) )
| ~ ( p101 @ X ) )
& ( ( ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y )
| ~ ( p100 @ Y ) )
| ( p1 @ X ) )
& ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y )
| ~ ( p100 @ Y ) )
| ~ ( p1 @ X ) ) )
| ~ ( p100 @ X ) )
& ( ( p101 @ X )
| ~ ( p102 @ X ) )
& ( ( p100 @ X )
| ~ ( p101 @ X ) )
& ~ ( p101 @ X )
& ( p100 @ X ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) ) ) )
| ~ ( ~ ( p101 @ Y )
& ( p100 @ Y ) ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p2 @ X )
| ~ ( p101 @ X ) )
| ( p2 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p2 @ X )
| ~ ( p101 @ X ) )
| ~ ( p2 @ Y ) ) )
| ~ ( p101 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X )
| ~ ( p100 @ X ) )
| ( p1 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X )
| ~ ( p100 @ X ) )
| ~ ( p1 @ Y ) ) )
| ~ ( p100 @ Y ) )
& ( ( p101 @ Y )
| ~ ( p102 @ Y ) )
& ( ( p100 @ Y )
| ~ ( p101 @ Y ) ) ) )
& ( ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) ) ) )
| ~ ( ~ ( p101 @ X )
& ( p100 @ X ) ) )
& ( ( ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p2 @ Y )
| ~ ( p101 @ Y ) )
| ( p2 @ X ) )
& ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y )
| ~ ( p101 @ Y ) )
| ~ ( p2 @ X ) ) )
| ~ ( p101 @ X ) )
& ( ( ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y )
| ~ ( p100 @ Y ) )
| ( p1 @ X ) )
& ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y )
| ~ ( p100 @ Y ) )
| ~ ( p1 @ X ) ) )
| ~ ( p100 @ X ) )
& ( ( p101 @ X )
| ~ ( p102 @ X ) )
& ( ( p100 @ X )
| ~ ( p101 @ X ) )
& ~ ( p101 @ X )
& ( p100 @ X ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) ) ) )
| ~ ( ~ ( p101 @ Y )
& ( p100 @ Y ) ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p2 @ X )
| ~ ( p101 @ X ) )
| ( p2 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p2 @ X )
| ~ ( p101 @ X ) )
| ~ ( p2 @ Y ) ) )
| ~ ( p101 @ Y ) )
& ( ( ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X )
| ~ ( p100 @ X ) )
| ( p1 @ Y ) )
& ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X )
| ~ ( p100 @ X ) )
| ~ ( p1 @ Y ) ) )
| ~ ( p100 @ Y ) )
& ( ( p101 @ Y )
| ~ ( p102 @ Y ) )
& ( ( p100 @ Y )
| ~ ( p101 @ Y ) ) ) )
& ( ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) ) ) )
| ~ ( ~ ( p101 @ X )
& ( p100 @ X ) ) )
& ( ( ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p2 @ Y )
| ~ ( p101 @ Y ) )
| ( p2 @ X ) )
& ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p2 @ Y )
| ~ ( p101 @ Y ) )
| ~ ( p2 @ X ) ) )
| ~ ( p101 @ X ) )
& ( ( ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y )
| ~ ( p100 @ Y ) )
| ( p1 @ X ) )
& ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y )
| ~ ( p100 @ Y ) )
| ~ ( p1 @ X ) ) )
| ~ ( p100 @ X ) )
& ( ( p101 @ X )
| ~ ( p102 @ X ) )
& ( ( p100 @ X )
| ~ ( p101 @ X ) )
& ~ ( p101 @ X )
& ( p100 @ X ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [SY15: $i] :
( ~ ( r1 @ sK1_X @ SY15 )
| ( p2 @ SY15 ) )
& ! [SY16: $i] :
( ~ ( r1 @ sK1_X @ SY16 )
| ( ( r1 @ SY16 @ ( sK5_X @ SY16 ) )
& ~ ( p2 @ ( sK5_X @ SY16 ) )
& ~ ( p102 @ ( sK5_X @ SY16 ) )
& ( p101 @ ( sK5_X @ SY16 ) ) )
| ( p101 @ SY16 )
| ~ ( p100 @ SY16 ) )
& ! [SY18: $i] :
( ~ ( r1 @ sK1_X @ SY18 )
| ( ( r1 @ SY18 @ ( sK4_X @ SY18 ) )
& ( p2 @ ( sK4_X @ SY18 ) )
& ~ ( p102 @ ( sK4_X @ SY18 ) )
& ( p101 @ ( sK4_X @ SY18 ) ) )
| ( p101 @ SY18 )
| ~ ( p100 @ SY18 ) )
& ! [SY20: $i] :
( ~ ( r1 @ sK1_X @ SY20 )
| ! [X: $i] :
( ~ ( r1 @ SY20 @ X )
| ~ ( p2 @ X )
| ~ ( p101 @ X ) )
| ( p2 @ SY20 )
| ~ ( p101 @ SY20 ) )
& ! [SY22: $i] :
( ~ ( r1 @ sK1_X @ SY22 )
| ! [X: $i] :
( ~ ( r1 @ SY22 @ X )
| ( p2 @ X )
| ~ ( p101 @ X ) )
| ~ ( p2 @ SY22 )
| ~ ( p101 @ SY22 ) )
& ! [SY24: $i] :
( ~ ( r1 @ sK1_X @ SY24 )
| ! [X: $i] :
( ~ ( r1 @ SY24 @ X )
| ~ ( p1 @ X )
| ~ ( p100 @ X ) )
| ( p1 @ SY24 )
| ~ ( p100 @ SY24 ) )
& ! [SY26: $i] :
( ~ ( r1 @ sK1_X @ SY26 )
| ! [X: $i] :
( ~ ( r1 @ SY26 @ X )
| ( p1 @ X )
| ~ ( p100 @ X ) )
| ~ ( p1 @ SY26 )
| ~ ( p100 @ SY26 ) )
& ! [SY28: $i] :
( ~ ( r1 @ sK1_X @ SY28 )
| ( p101 @ SY28 )
| ~ ( p102 @ SY28 ) )
& ! [SY29: $i] :
( ~ ( r1 @ sK1_X @ SY29 )
| ( p100 @ SY29 )
| ~ ( p101 @ SY29 ) )
& ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
& ( sK7_REN
=> ( ( r1 @ sK1_X @ sK3_SY30 )
& ~ ( p2 @ sK3_SY30 )
& ~ ( p102 @ sK3_SY30 )
& ( p101 @ sK3_SY30 ) ) )
& ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
& ( sK6_REN
=> ( ( r1 @ sK1_X @ sK2_SY31 )
& ( p2 @ sK2_SY31 )
& ~ ( p102 @ sK2_SY31 )
& ( p101 @ sK2_SY31 ) ) )
& ( ! [SY32: $i] :
( ~ ( r1 @ sK1_X @ SY32 )
| ~ ( p2 @ SY32 )
| ~ ( p101 @ SY32 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
& ( ! [SY33: $i] :
( ~ ( r1 @ sK1_X @ SY33 )
| ( p2 @ SY33 )
| ~ ( p101 @ SY33 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
& ( ! [SY34: $i] :
( ~ ( r1 @ sK1_X @ SY34 )
| ~ ( p1 @ SY34 )
| ~ ( p100 @ SY34 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
& ( ! [SY35: $i] :
( ~ ( r1 @ sK1_X @ SY35 )
| ( p1 @ SY35 )
| ~ ( p100 @ SY35 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
& ( ( p101 @ sK1_X )
| ~ ( p102 @ sK1_X ) )
& ( ( p100 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
& ~ ( p101 @ sK1_X )
& ( p100 @ sK1_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY15: $i] :
( ~ ( r1 @ sK1_X @ SY15 )
| ( p2 @ SY15 ) )
& ! [SY16: $i] :
( ~ ( r1 @ sK1_X @ SY16 )
| ( ( r1 @ SY16 @ ( sK5_X @ SY16 ) )
& ~ ( p2 @ ( sK5_X @ SY16 ) )
& ~ ( p102 @ ( sK5_X @ SY16 ) )
& ( p101 @ ( sK5_X @ SY16 ) ) )
| ( p101 @ SY16 )
| ~ ( p100 @ SY16 ) )
& ! [SY18: $i] :
( ~ ( r1 @ sK1_X @ SY18 )
| ( ( r1 @ SY18 @ ( sK4_X @ SY18 ) )
& ( p2 @ ( sK4_X @ SY18 ) )
& ~ ( p102 @ ( sK4_X @ SY18 ) )
& ( p101 @ ( sK4_X @ SY18 ) ) )
| ( p101 @ SY18 )
| ~ ( p100 @ SY18 ) )
& ! [SY20: $i] :
( ~ ( r1 @ sK1_X @ SY20 )
| ! [X: $i] :
( ~ ( r1 @ SY20 @ X )
| ~ ( p2 @ X )
| ~ ( p101 @ X ) )
| ( p2 @ SY20 )
| ~ ( p101 @ SY20 ) )
& ! [SY22: $i] :
( ~ ( r1 @ sK1_X @ SY22 )
| ! [X: $i] :
( ~ ( r1 @ SY22 @ X )
| ( p2 @ X )
| ~ ( p101 @ X ) )
| ~ ( p2 @ SY22 )
| ~ ( p101 @ SY22 ) )
& ! [SY24: $i] :
( ~ ( r1 @ sK1_X @ SY24 )
| ! [X: $i] :
( ~ ( r1 @ SY24 @ X )
| ~ ( p1 @ X )
| ~ ( p100 @ X ) )
| ( p1 @ SY24 )
| ~ ( p100 @ SY24 ) )
& ! [SY26: $i] :
( ~ ( r1 @ sK1_X @ SY26 )
| ! [X: $i] :
( ~ ( r1 @ SY26 @ X )
| ( p1 @ X )
| ~ ( p100 @ X ) )
| ~ ( p1 @ SY26 )
| ~ ( p100 @ SY26 ) )
& ! [SY28: $i] :
( ~ ( r1 @ sK1_X @ SY28 )
| ( p101 @ SY28 )
| ~ ( p102 @ SY28 ) )
& ! [SY29: $i] :
( ~ ( r1 @ sK1_X @ SY29 )
| ( p100 @ SY29 )
| ~ ( p101 @ SY29 ) )
& ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
& ( sK7_REN
=> ( ( r1 @ sK1_X @ sK3_SY30 )
& ~ ( p2 @ sK3_SY30 )
& ~ ( p102 @ sK3_SY30 )
& ( p101 @ sK3_SY30 ) ) )
& ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
& ( sK6_REN
=> ( ( r1 @ sK1_X @ sK2_SY31 )
& ( p2 @ sK2_SY31 )
& ~ ( p102 @ sK2_SY31 )
& ( p101 @ sK2_SY31 ) ) )
& ( ! [SY32: $i] :
( ~ ( r1 @ sK1_X @ SY32 )
| ~ ( p2 @ SY32 )
| ~ ( p101 @ SY32 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
& ( ! [SY33: $i] :
( ~ ( r1 @ sK1_X @ SY33 )
| ( p2 @ SY33 )
| ~ ( p101 @ SY33 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
& ( ! [SY34: $i] :
( ~ ( r1 @ sK1_X @ SY34 )
| ~ ( p1 @ SY34 )
| ~ ( p100 @ SY34 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
& ( ! [SY35: $i] :
( ~ ( r1 @ sK1_X @ SY35 )
| ( p1 @ SY35 )
| ~ ( p100 @ SY35 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
& ( ( p101 @ sK1_X )
| ~ ( p102 @ sK1_X ) )
& ( ( p100 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
& ~ ( p101 @ sK1_X )
& ( p100 @ sK1_X ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) ) )
| ~ ( ( p101 @ sK1_X )
| ~ ( p102 @ sK1_X ) ) )
| ~ ( ( p100 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) )
| ~ ~ ( p101 @ sK1_X ) )
| ~ ( p100 @ sK1_X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) ) )
| ~ ( ( p101 @ sK1_X )
| ~ ( p102 @ sK1_X ) ) )
| ~ ( ( p100 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) )
| ~ ~ ( p101 @ sK1_X ) )
| ~ ( p100 @ sK1_X ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7]) ).
thf(9,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[8]) ).
thf(10,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) ) )
| ~ ( ( p101 @ sK1_X )
| ~ ( p102 @ sK1_X ) ) )
| ~ ( ( p100 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) )
| ~ ~ ( p101 @ sK1_X ) )
| ~ ( p100 @ sK1_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[8]) ).
thf(11,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[9]) ).
thf(12,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) ) )
| ~ ( ( p101 @ sK1_X )
| ~ ( p102 @ sK1_X ) ) )
| ~ ( ( p100 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) )
| ~ ~ ( p101 @ sK1_X ) )
| ~ ( p100 @ sK1_X ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[10]) ).
thf(13,plain,
! [SV1: $i] :
( ( ~ ( r1 @ sK1_X @ SV1 )
| ( p2 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) ) )
| ~ ( ( p101 @ sK1_X )
| ~ ( p102 @ sK1_X ) ) )
| ~ ( ( p100 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) )
| ~ ~ ( p101 @ sK1_X ) )
| ~ ( p100 @ sK1_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV1: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV1 ) )
= $true )
| ( ( p2 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) ) )
| ~ ( ( p101 @ sK1_X )
| ~ ( p102 @ sK1_X ) ) )
| ~ ( ( p100 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) )
| ~ ~ ( p101 @ sK1_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ( p100 @ sK1_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(18,plain,
! [SV1: $i] :
( ( ( r1 @ sK1_X @ SV1 )
= $false )
| ( ( p2 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) ) )
| ~ ( ( p101 @ sK1_X )
| ~ ( p102 @ sK1_X ) ) )
| ~ ( ( p100 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) )
| ~ ~ ( p101 @ sK1_X ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
( ( p100 @ sK1_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) ) )
| ~ ( ( p101 @ sK1_X )
| ~ ( p102 @ sK1_X ) ) )
| ~ ( ( p100 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) )
| ~ ~ ( p101 @ sK1_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(22,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) ) )
| ~ ( ( p101 @ sK1_X )
| ~ ( p102 @ sK1_X ) ) )
| ~ ( ( p100 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(23,plain,
( ( ~ ~ ( p101 @ sK1_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(24,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) ) )
| ~ ( ( p101 @ sK1_X )
| ~ ( p102 @ sK1_X ) ) )
| ~ ( ( p100 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(25,plain,
( ( ~ ( p101 @ sK1_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(26,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) ) )
| ~ ( ( p101 @ sK1_X )
| ~ ( p102 @ sK1_X ) ) )
| ~ ( ( p100 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(27,plain,
( ( p101 @ sK1_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(28,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) ) )
| ~ ( ( p101 @ sK1_X )
| ~ ( p102 @ sK1_X ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(29,plain,
( ( ~ ( ( p100 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) ) )
| ~ ( ( p101 @ sK1_X )
| ~ ( p102 @ sK1_X ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(31,plain,
( ( ( p100 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(32,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) ) )
| ~ ( ( p101 @ sK1_X )
| ~ ( p102 @ sK1_X ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(33,plain,
( ( ( p100 @ sK1_X )
= $true )
| ( ( ~ ( p101 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(34,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(35,plain,
( ( ~ ( ( p101 @ sK1_X )
| ~ ( p102 @ sK1_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(36,plain,
( ( ( p101 @ sK1_X )
= $false )
| ( ( p100 @ sK1_X )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(37,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(38,plain,
( ( ( p101 @ sK1_X )
| ~ ( p102 @ sK1_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(39,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(40,plain,
( ( ( p101 @ sK1_X )
= $true )
| ( ( ~ ( p102 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(41,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(42,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(43,plain,
( ( ( p102 @ sK1_X )
= $false )
| ( ( p101 @ sK1_X )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(44,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(45,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(46,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(47,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(48,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(49,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(50,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(51,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(52,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(53,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(54,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(55,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(56,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(57,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
| ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(58,plain,
( ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ( p1 @ sK1_X ) )
= $true )
| ( ( ~ ( p100 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(59,plain,
( ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ( p1 @ sK1_X ) )
= $true )
| ( ( ~ ( p100 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(60,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(61,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(62,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(63,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(64,plain,
( ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
= $true )
| ( ( p1 @ sK1_X )
= $true )
| ( ( ~ ( p100 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(65,plain,
( ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
= $true )
| ( ( ~ ( p1 @ sK1_X ) )
= $true )
| ( ( ~ ( p100 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(66,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(67,plain,
( ( ~ ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(68,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(69,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X )
| ~ ( p101 @ sK1_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(70,plain,
! [SV2: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV2 )
| ~ ( p1 @ SV2 )
| ~ ( p100 @ SV2 ) )
= $true )
| ( ( p1 @ sK1_X )
= $true )
| ( ( ~ ( p100 @ sK1_X ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(71,plain,
! [SV3: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV3 )
| ( p1 @ SV3 )
| ~ ( p100 @ SV3 ) )
= $true )
| ( ( ~ ( p1 @ sK1_X ) )
= $true )
| ( ( ~ ( p100 @ sK1_X ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(72,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(73,plain,
( ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
| ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(74,plain,
( ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ( p2 @ sK1_X ) )
= $true )
| ( ( ~ ( p101 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(75,plain,
( ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ( p2 @ sK1_X ) )
= $true )
| ( ( ~ ( p101 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(76,plain,
! [SV2: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV2 )
| ~ ( p1 @ SV2 ) )
= $true )
| ( ( ~ ( p100 @ SV2 ) )
= $true )
| ( ( p1 @ sK1_X )
= $true )
| ( ( ~ ( p100 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(77,plain,
! [SV3: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV3 )
| ( p1 @ SV3 ) )
= $true )
| ( ( ~ ( p100 @ SV3 ) )
= $true )
| ( ( ~ ( p1 @ sK1_X ) )
= $true )
| ( ( ~ ( p100 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(78,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(79,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(80,plain,
( ( ~ ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(81,plain,
( ( ~ ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(82,plain,
( ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
= $true )
| ( ( p2 @ sK1_X )
= $true )
| ( ( ~ ( p101 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(83,plain,
( ( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
= $true )
| ( ( ~ ( p2 @ sK1_X ) )
= $true )
| ( ( ~ ( p101 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(84,plain,
! [SV2: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV2 ) )
= $true )
| ( ( ~ ( p1 @ SV2 ) )
= $true )
| ( ( ~ ( p100 @ SV2 ) )
= $true )
| ( ( p1 @ sK1_X )
= $true )
| ( ( ~ ( p100 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(85,plain,
! [SV3: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV3 ) )
= $true )
| ( ( p1 @ SV3 )
= $true )
| ( ( ~ ( p100 @ SV3 ) )
= $true )
| ( ( ~ ( p1 @ sK1_X ) )
= $true )
| ( ( ~ ( p100 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(86,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(87,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p100 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(88,plain,
( ( ~ ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(89,plain,
( ( ~ ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(90,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV4 )
| ~ ( p2 @ SV4 )
| ~ ( p101 @ SV4 ) )
= $true )
| ( ( p2 @ sK1_X )
= $true )
| ( ( ~ ( p101 @ sK1_X ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(91,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV5 )
| ( p2 @ SV5 )
| ~ ( p101 @ SV5 ) )
= $true )
| ( ( ~ ( p2 @ sK1_X ) )
= $true )
| ( ( ~ ( p101 @ sK1_X ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(92,plain,
! [SV2: $i] :
( ( ( r1 @ sK1_X @ SV2 )
= $false )
| ( ( ~ ( p1 @ SV2 ) )
= $true )
| ( ( ~ ( p100 @ SV2 ) )
= $true )
| ( ( p1 @ sK1_X )
= $true )
| ( ( ~ ( p100 @ sK1_X ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(93,plain,
! [SV3: $i] :
( ( ( r1 @ sK1_X @ SV3 )
= $false )
| ( ( p1 @ SV3 )
= $true )
| ( ( ~ ( p100 @ SV3 ) )
= $true )
| ( ( ~ ( p1 @ sK1_X ) )
= $true )
| ( ( ~ ( p100 @ sK1_X ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(94,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(95,plain,
! [SV6: $i] :
( ( ~ ( r1 @ sK1_X @ SV6 )
| ( p100 @ SV6 )
| ~ ( p101 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(96,plain,
( ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(97,plain,
( ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(98,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV4 )
| ~ ( p2 @ SV4 ) )
= $true )
| ( ( ~ ( p101 @ SV4 ) )
= $true )
| ( ( p2 @ sK1_X )
= $true )
| ( ( ~ ( p101 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(99,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV5 )
| ( p2 @ SV5 ) )
= $true )
| ( ( ~ ( p101 @ SV5 ) )
= $true )
| ( ( ~ ( p2 @ sK1_X ) )
= $true )
| ( ( ~ ( p101 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(100,plain,
! [SV2: $i] :
( ( ( p1 @ SV2 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false )
| ( ( ~ ( p100 @ SV2 ) )
= $true )
| ( ( p1 @ sK1_X )
= $true )
| ( ( ~ ( p100 @ sK1_X ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(101,plain,
! [SV3: $i] :
( ( ( p100 @ SV3 )
= $false )
| ( ( p1 @ SV3 )
= $true )
| ( ( r1 @ sK1_X @ SV3 )
= $false )
| ( ( ~ ( p1 @ sK1_X ) )
= $true )
| ( ( ~ ( p100 @ sK1_X ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(102,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(103,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(104,plain,
! [SV6: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV6 ) )
= $true )
| ( ( ( p100 @ SV6 )
| ~ ( p101 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(105,plain,
( ( ~ ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(106,plain,
( ( ~ ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(107,plain,
( ( ~ ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(108,plain,
( ( ~ ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(109,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV4 ) )
= $true )
| ( ( ~ ( p2 @ SV4 ) )
= $true )
| ( ( ~ ( p101 @ SV4 ) )
= $true )
| ( ( p2 @ sK1_X )
= $true )
| ( ( ~ ( p101 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(110,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV5 ) )
= $true )
| ( ( p2 @ SV5 )
= $true )
| ( ( ~ ( p101 @ SV5 ) )
= $true )
| ( ( ~ ( p2 @ sK1_X ) )
= $true )
| ( ( ~ ( p101 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(111,plain,
! [SV2: $i] :
( ( ( p100 @ SV2 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false )
| ( ( p1 @ SV2 )
= $false )
| ( ( p1 @ sK1_X )
= $true )
| ( ( ~ ( p100 @ sK1_X ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(112,plain,
! [SV3: $i] :
( ( ( p1 @ sK1_X )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false )
| ( ( p1 @ SV3 )
= $true )
| ( ( p100 @ SV3 )
= $false )
| ( ( ~ ( p100 @ sK1_X ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(113,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(114,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( p101 @ SX0 )
| ~ ( p102 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(115,plain,
! [SV6: $i] :
( ( ( r1 @ sK1_X @ SV6 )
= $false )
| ( ( ( p100 @ SV6 )
| ~ ( p101 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(116,plain,
( ( sK7_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(117,plain,
( ( ~ sK7_REN
| ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(118,plain,
( ( sK6_REN
| ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(119,plain,
( ( ~ sK6_REN
| ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(120,plain,
! [SV4: $i] :
( ( ( r1 @ sK1_X @ SV4 )
= $false )
| ( ( ~ ( p2 @ SV4 ) )
= $true )
| ( ( ~ ( p101 @ SV4 ) )
= $true )
| ( ( p2 @ sK1_X )
= $true )
| ( ( ~ ( p101 @ sK1_X ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(121,plain,
! [SV5: $i] :
( ( ( r1 @ sK1_X @ SV5 )
= $false )
| ( ( p2 @ SV5 )
= $true )
| ( ( ~ ( p101 @ SV5 ) )
= $true )
| ( ( ~ ( p2 @ sK1_X ) )
= $true )
| ( ( ~ ( p101 @ sK1_X ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(122,plain,
! [SV2: $i] :
( ( ( p100 @ sK1_X )
= $false )
| ( ( p1 @ sK1_X )
= $true )
| ( ( p1 @ SV2 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false )
| ( ( p100 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(123,plain,
! [SV3: $i] :
( ( ( p100 @ sK1_X )
= $false )
| ( ( p100 @ SV3 )
= $false )
| ( ( p1 @ SV3 )
= $true )
| ( ( r1 @ sK1_X @ SV3 )
= $false )
| ( ( p1 @ sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(124,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(125,plain,
! [SV7: $i] :
( ( ~ ( r1 @ sK1_X @ SV7 )
| ( p101 @ SV7 )
| ~ ( p102 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(126,plain,
! [SV6: $i] :
( ( ( p100 @ SV6 )
= $true )
| ( ( ~ ( p101 @ SV6 ) )
= $true )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(127,plain,
( ( sK7_REN = $true )
| ( ( ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(128,plain,
( ( ( ~ sK7_REN )
= $true )
| ( ( ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(129,plain,
( ( sK6_REN = $true )
| ( ( ( p101 @ sK1_X )
| ~ ( p100 @ sK1_X ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(130,plain,
( ( ( ~ sK6_REN )
= $true )
| ( ( ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(131,plain,
! [SV4: $i] :
( ( ( p2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV4 )
= $false )
| ( ( ~ ( p101 @ SV4 ) )
= $true )
| ( ( p2 @ sK1_X )
= $true )
| ( ( ~ ( p101 @ sK1_X ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(132,plain,
! [SV5: $i] :
( ( ( p101 @ SV5 )
= $false )
| ( ( p2 @ SV5 )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false )
| ( ( ~ ( p2 @ sK1_X ) )
= $true )
| ( ( ~ ( p101 @ sK1_X ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(133,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(134,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(135,plain,
! [SV7: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV7 ) )
= $true )
| ( ( ( p101 @ SV7 )
| ~ ( p102 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(136,plain,
! [SV6: $i] :
( ( ( p101 @ SV6 )
= $false )
| ( ( p100 @ SV6 )
= $true )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(137,plain,
( ( ( p101 @ sK1_X )
= $true )
| ( ( ~ ( p100 @ sK1_X ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(138,plain,
( ( sK7_REN = $false )
| ( ( ~ ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(139,plain,
( ( ( p101 @ sK1_X )
= $true )
| ( ( ~ ( p100 @ sK1_X ) )
= $true )
| ( sK6_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(140,plain,
( ( sK6_REN = $false )
| ( ( ~ ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(141,plain,
! [SV4: $i] :
( ( ( p101 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV4 )
= $false )
| ( ( p2 @ SV4 )
= $false )
| ( ( p2 @ sK1_X )
= $true )
| ( ( ~ ( p101 @ sK1_X ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(142,plain,
! [SV5: $i] :
( ( ( p2 @ sK1_X )
= $false )
| ( ( r1 @ sK1_X @ SV5 )
= $false )
| ( ( p2 @ SV5 )
= $true )
| ( ( p101 @ SV5 )
= $false )
| ( ( ~ ( p101 @ sK1_X ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(143,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(144,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(145,plain,
! [SV7: $i] :
( ( ( r1 @ sK1_X @ SV7 )
= $false )
| ( ( ( p101 @ SV7 )
| ~ ( p102 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(146,plain,
( ( ( p100 @ sK1_X )
= $false )
| ( ( p101 @ sK1_X )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(147,plain,
( ( ( ~ ( r1 @ sK1_X @ sK3_SY30 )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(148,plain,
( ( ( p100 @ sK1_X )
= $false )
| ( ( p101 @ sK1_X )
= $true )
| ( sK6_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(149,plain,
( ( ( ~ ( r1 @ sK1_X @ sK2_SY31 )
| ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(150,plain,
! [SV4: $i] :
( ( ( p101 @ sK1_X )
= $false )
| ( ( p2 @ sK1_X )
= $true )
| ( ( p2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV4 )
= $false )
| ( ( p101 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(151,plain,
! [SV5: $i] :
( ( ( p101 @ sK1_X )
= $false )
| ( ( p101 @ SV5 )
= $false )
| ( ( p2 @ SV5 )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false )
| ( ( p2 @ sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(152,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(153,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(154,plain,
! [SV7: $i] :
( ( ( p101 @ SV7 )
= $true )
| ( ( ~ ( p102 @ SV7 ) )
= $true )
| ( ( r1 @ sK1_X @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(155,plain,
( ( ( ~ ( r1 @ sK1_X @ sK3_SY30 ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(156,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(157,plain,
( ( ( ~ ( r1 @ sK1_X @ sK2_SY31 ) )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(158,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(159,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(160,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(161,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(162,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(163,plain,
! [SV7: $i] :
( ( ( p102 @ SV7 )
= $false )
| ( ( p101 @ SV7 )
= $true )
| ( ( r1 @ sK1_X @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(164,plain,
( ( ( r1 @ sK1_X @ sK3_SY30 )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(165,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) ) )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(166,plain,
( ( ( r1 @ sK1_X @ sK2_SY31 )
= $true )
| ( sK6_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(167,plain,
( ( ( ~ ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) ) )
= $true )
| ( sK6_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(168,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(169,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(170,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(171,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p1 @ SX1 )
| ~ ( p100 @ SX1 ) )
| ~ ( p1 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(172,plain,
( ( ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
| ~ ( p101 @ sK3_SY30 ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(173,plain,
( ( ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
| ~ ( p101 @ sK2_SY31 ) )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(174,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(175,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(176,plain,
! [SV8: $i] :
( ( ~ ( r1 @ sK1_X @ SV8 )
| ! [SY36: $i] :
( ~ ( r1 @ SV8 @ SY36 )
| ~ ( p1 @ SY36 )
| ~ ( p100 @ SY36 ) )
| ( p1 @ SV8 )
| ~ ( p100 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(177,plain,
! [SV9: $i] :
( ( ~ ( r1 @ sK1_X @ SV9 )
| ! [SY37: $i] :
( ~ ( r1 @ SV9 @ SY37 )
| ( p1 @ SY37 )
| ~ ( p100 @ SY37 ) )
| ~ ( p1 @ SV9 )
| ~ ( p100 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(178,plain,
( ( ( ~ ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(179,plain,
( ( ( ~ ( p101 @ sK3_SY30 ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(180,plain,
( ( ( ~ ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) ) )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(181,plain,
( ( ( ~ ( p101 @ sK2_SY31 ) )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(182,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(183,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(184,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(185,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(186,plain,
! [SV8: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV8 ) )
= $true )
| ( ( ! [SY36: $i] :
( ~ ( r1 @ SV8 @ SY36 )
| ~ ( p1 @ SY36 )
| ~ ( p100 @ SY36 ) )
| ( p1 @ SV8 )
| ~ ( p100 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(187,plain,
! [SV9: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV9 ) )
= $true )
| ( ( ! [SY37: $i] :
( ~ ( r1 @ SV9 @ SY37 )
| ( p1 @ SY37 )
| ~ ( p100 @ SY37 ) )
| ~ ( p1 @ SV9 )
| ~ ( p100 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(188,plain,
( ( ( ~ ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) ) )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(189,plain,
( ( ( p101 @ sK3_SY30 )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(190,plain,
( ( ( ~ ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) ) )
= $true )
| ( sK6_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(191,plain,
( ( ( p101 @ sK2_SY31 )
= $true )
| ( sK6_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(192,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK5_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK5_X @ SX0 ) ) )
| ~ ( p101 @ ( sK5_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(193,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK4_X @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SX0 ) )
| ~ ~ ( p102 @ ( sK4_X @ SX0 ) ) )
| ~ ( p101 @ ( sK4_X @ SX0 ) ) ) )
| ( p101 @ SX0 )
| ~ ( p100 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(194,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(195,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p2 @ SX1 )
| ~ ( p101 @ SX1 ) )
| ~ ( p2 @ SX0 )
| ~ ( p101 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(196,plain,
! [SV8: $i] :
( ( ( r1 @ sK1_X @ SV8 )
= $false )
| ( ( ! [SY36: $i] :
( ~ ( r1 @ SV8 @ SY36 )
| ~ ( p1 @ SY36 )
| ~ ( p100 @ SY36 ) )
| ( p1 @ SV8 )
| ~ ( p100 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(197,plain,
! [SV9: $i] :
( ( ( r1 @ sK1_X @ SV9 )
= $false )
| ( ( ! [SY37: $i] :
( ~ ( r1 @ SV9 @ SY37 )
| ( p1 @ SY37 )
| ~ ( p100 @ SY37 ) )
| ~ ( p1 @ SV9 )
| ~ ( p100 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(198,plain,
( ( ( ~ ~ ( p2 @ sK3_SY30 )
| ~ ~ ( p102 @ sK3_SY30 ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(199,plain,
( ( ( ~ ( p2 @ sK2_SY31 )
| ~ ~ ( p102 @ sK2_SY31 ) )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(200,plain,
! [SV10: $i] :
( ( ~ ( r1 @ sK1_X @ SV10 )
| ~ ( ~ ( r1 @ SV10 @ ( sK5_X @ SV10 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SV10 ) )
| ~ ~ ( p102 @ ( sK5_X @ SV10 ) ) )
| ~ ( p101 @ ( sK5_X @ SV10 ) ) ) )
| ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(201,plain,
! [SV11: $i] :
( ( ~ ( r1 @ sK1_X @ SV11 )
| ~ ( ~ ( r1 @ SV11 @ ( sK4_X @ SV11 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SV11 ) )
| ~ ~ ( p102 @ ( sK4_X @ SV11 ) ) )
| ~ ( p101 @ ( sK4_X @ SV11 ) ) ) )
| ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(202,plain,
! [SV12: $i] :
( ( ~ ( r1 @ sK1_X @ SV12 )
| ! [SY38: $i] :
( ~ ( r1 @ SV12 @ SY38 )
| ~ ( p2 @ SY38 )
| ~ ( p101 @ SY38 ) )
| ( p2 @ SV12 )
| ~ ( p101 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(203,plain,
! [SV13: $i] :
( ( ~ ( r1 @ sK1_X @ SV13 )
| ! [SY39: $i] :
( ~ ( r1 @ SV13 @ SY39 )
| ( p2 @ SY39 )
| ~ ( p101 @ SY39 ) )
| ~ ( p2 @ SV13 )
| ~ ( p101 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(204,plain,
! [SV8: $i] :
( ( ( ! [SY36: $i] :
( ~ ( r1 @ SV8 @ SY36 )
| ~ ( p1 @ SY36 )
| ~ ( p100 @ SY36 ) )
| ( p1 @ SV8 ) )
= $true )
| ( ( ~ ( p100 @ SV8 ) )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(205,plain,
! [SV9: $i] :
( ( ( ! [SY37: $i] :
( ~ ( r1 @ SV9 @ SY37 )
| ( p1 @ SY37 )
| ~ ( p100 @ SY37 ) )
| ~ ( p1 @ SV9 ) )
= $true )
| ( ( ~ ( p100 @ SV9 ) )
= $true )
| ( ( r1 @ sK1_X @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(206,plain,
( ( ( ~ ~ ( p2 @ sK3_SY30 ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(207,plain,
( ( ( ~ ~ ( p102 @ sK3_SY30 ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(208,plain,
( ( ( ~ ( p2 @ sK2_SY31 ) )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(209,plain,
( ( ( ~ ~ ( p102 @ sK2_SY31 ) )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(210,plain,
! [SV10: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV10 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV10 @ ( sK5_X @ SV10 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SV10 ) )
| ~ ~ ( p102 @ ( sK5_X @ SV10 ) ) )
| ~ ( p101 @ ( sK5_X @ SV10 ) ) ) )
| ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(211,plain,
! [SV11: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV11 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV11 @ ( sK4_X @ SV11 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SV11 ) )
| ~ ~ ( p102 @ ( sK4_X @ SV11 ) ) )
| ~ ( p101 @ ( sK4_X @ SV11 ) ) ) )
| ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(212,plain,
! [SV12: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV12 ) )
= $true )
| ( ( ! [SY38: $i] :
( ~ ( r1 @ SV12 @ SY38 )
| ~ ( p2 @ SY38 )
| ~ ( p101 @ SY38 ) )
| ( p2 @ SV12 )
| ~ ( p101 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(213,plain,
! [SV13: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV13 ) )
= $true )
| ( ( ! [SY39: $i] :
( ~ ( r1 @ SV13 @ SY39 )
| ( p2 @ SY39 )
| ~ ( p101 @ SY39 ) )
| ~ ( p2 @ SV13 )
| ~ ( p101 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(214,plain,
! [SV8: $i] :
( ( ( ! [SY36: $i] :
( ~ ( r1 @ SV8 @ SY36 )
| ~ ( p1 @ SY36 )
| ~ ( p100 @ SY36 ) ) )
= $true )
| ( ( p1 @ SV8 )
= $true )
| ( ( ~ ( p100 @ SV8 ) )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(215,plain,
! [SV9: $i] :
( ( ( ! [SY37: $i] :
( ~ ( r1 @ SV9 @ SY37 )
| ( p1 @ SY37 )
| ~ ( p100 @ SY37 ) ) )
= $true )
| ( ( ~ ( p1 @ SV9 ) )
= $true )
| ( ( ~ ( p100 @ SV9 ) )
= $true )
| ( ( r1 @ sK1_X @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(216,plain,
( ( ( ~ ( p2 @ sK3_SY30 ) )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(217,plain,
( ( ( ~ ( p102 @ sK3_SY30 ) )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(218,plain,
( ( ( p2 @ sK2_SY31 )
= $true )
| ( sK6_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(219,plain,
( ( ( ~ ( p102 @ sK2_SY31 ) )
= $true )
| ( sK6_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(220,plain,
! [SV10: $i] :
( ( ( r1 @ sK1_X @ SV10 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV10 @ ( sK5_X @ SV10 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SV10 ) )
| ~ ~ ( p102 @ ( sK5_X @ SV10 ) ) )
| ~ ( p101 @ ( sK5_X @ SV10 ) ) ) )
| ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(221,plain,
! [SV11: $i] :
( ( ( r1 @ sK1_X @ SV11 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV11 @ ( sK4_X @ SV11 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SV11 ) )
| ~ ~ ( p102 @ ( sK4_X @ SV11 ) ) )
| ~ ( p101 @ ( sK4_X @ SV11 ) ) ) )
| ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(222,plain,
! [SV12: $i] :
( ( ( r1 @ sK1_X @ SV12 )
= $false )
| ( ( ! [SY38: $i] :
( ~ ( r1 @ SV12 @ SY38 )
| ~ ( p2 @ SY38 )
| ~ ( p101 @ SY38 ) )
| ( p2 @ SV12 )
| ~ ( p101 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(223,plain,
! [SV13: $i] :
( ( ( r1 @ sK1_X @ SV13 )
= $false )
| ( ( ! [SY39: $i] :
( ~ ( r1 @ SV13 @ SY39 )
| ( p2 @ SY39 )
| ~ ( p101 @ SY39 ) )
| ~ ( p2 @ SV13 )
| ~ ( p101 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(224,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ( r1 @ SV8 @ SV14 )
| ~ ( p1 @ SV14 )
| ~ ( p100 @ SV14 ) )
= $true )
| ( ( p1 @ SV8 )
= $true )
| ( ( ~ ( p100 @ SV8 ) )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(225,plain,
! [SV15: $i,SV9: $i] :
( ( ( ~ ( r1 @ SV9 @ SV15 )
| ( p1 @ SV15 )
| ~ ( p100 @ SV15 ) )
= $true )
| ( ( ~ ( p1 @ SV9 ) )
= $true )
| ( ( ~ ( p100 @ SV9 ) )
= $true )
| ( ( r1 @ sK1_X @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(226,plain,
( ( ( p2 @ sK3_SY30 )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(227,plain,
( ( ( p102 @ sK3_SY30 )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(228,plain,
( ( ( p102 @ sK2_SY31 )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(229,plain,
! [SV10: $i] :
( ( ( ~ ( ~ ( r1 @ SV10 @ ( sK5_X @ SV10 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SV10 ) )
| ~ ~ ( p102 @ ( sK5_X @ SV10 ) ) )
| ~ ( p101 @ ( sK5_X @ SV10 ) ) ) ) )
= $true )
| ( ( ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(230,plain,
! [SV11: $i] :
( ( ( ~ ( ~ ( r1 @ SV11 @ ( sK4_X @ SV11 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SV11 ) )
| ~ ~ ( p102 @ ( sK4_X @ SV11 ) ) )
| ~ ( p101 @ ( sK4_X @ SV11 ) ) ) ) )
= $true )
| ( ( ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(231,plain,
! [SV12: $i] :
( ( ( ! [SY38: $i] :
( ~ ( r1 @ SV12 @ SY38 )
| ~ ( p2 @ SY38 )
| ~ ( p101 @ SY38 ) )
| ( p2 @ SV12 ) )
= $true )
| ( ( ~ ( p101 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(232,plain,
! [SV13: $i] :
( ( ( ! [SY39: $i] :
( ~ ( r1 @ SV13 @ SY39 )
| ( p2 @ SY39 )
| ~ ( p101 @ SY39 ) )
| ~ ( p2 @ SV13 ) )
= $true )
| ( ( ~ ( p101 @ SV13 ) )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(233,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ( r1 @ SV8 @ SV14 )
| ~ ( p1 @ SV14 ) )
= $true )
| ( ( ~ ( p100 @ SV14 ) )
= $true )
| ( ( p1 @ SV8 )
= $true )
| ( ( ~ ( p100 @ SV8 ) )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(234,plain,
! [SV15: $i,SV9: $i] :
( ( ( ~ ( r1 @ SV9 @ SV15 )
| ( p1 @ SV15 ) )
= $true )
| ( ( ~ ( p100 @ SV15 ) )
= $true )
| ( ( ~ ( p1 @ SV9 ) )
= $true )
| ( ( ~ ( p100 @ SV9 ) )
= $true )
| ( ( r1 @ sK1_X @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(235,plain,
! [SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ ( sK5_X @ SV10 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SV10 ) )
| ~ ~ ( p102 @ ( sK5_X @ SV10 ) ) )
| ~ ( p101 @ ( sK5_X @ SV10 ) ) ) )
= $false )
| ( ( ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(236,plain,
! [SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ ( sK4_X @ SV11 ) )
| ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SV11 ) )
| ~ ~ ( p102 @ ( sK4_X @ SV11 ) ) )
| ~ ( p101 @ ( sK4_X @ SV11 ) ) ) )
= $false )
| ( ( ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(237,plain,
! [SV12: $i] :
( ( ( ! [SY38: $i] :
( ~ ( r1 @ SV12 @ SY38 )
| ~ ( p2 @ SY38 )
| ~ ( p101 @ SY38 ) ) )
= $true )
| ( ( p2 @ SV12 )
= $true )
| ( ( ~ ( p101 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(238,plain,
! [SV13: $i] :
( ( ( ! [SY39: $i] :
( ~ ( r1 @ SV13 @ SY39 )
| ( p2 @ SY39 )
| ~ ( p101 @ SY39 ) ) )
= $true )
| ( ( ~ ( p2 @ SV13 ) )
= $true )
| ( ( ~ ( p101 @ SV13 ) )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(239,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ( r1 @ SV8 @ SV14 ) )
= $true )
| ( ( ~ ( p1 @ SV14 ) )
= $true )
| ( ( ~ ( p100 @ SV14 ) )
= $true )
| ( ( p1 @ SV8 )
= $true )
| ( ( ~ ( p100 @ SV8 ) )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(240,plain,
! [SV15: $i,SV9: $i] :
( ( ( ~ ( r1 @ SV9 @ SV15 ) )
= $true )
| ( ( p1 @ SV15 )
= $true )
| ( ( ~ ( p100 @ SV15 ) )
= $true )
| ( ( ~ ( p1 @ SV9 ) )
= $true )
| ( ( ~ ( p100 @ SV9 ) )
= $true )
| ( ( r1 @ sK1_X @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(241,plain,
! [SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ ( sK5_X @ SV10 ) ) )
= $false )
| ( ( ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(242,plain,
! [SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SV10 ) )
| ~ ~ ( p102 @ ( sK5_X @ SV10 ) ) )
| ~ ( p101 @ ( sK5_X @ SV10 ) ) ) )
= $false )
| ( ( ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(243,plain,
! [SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ ( sK4_X @ SV11 ) ) )
= $false )
| ( ( ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(244,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SV11 ) )
| ~ ~ ( p102 @ ( sK4_X @ SV11 ) ) )
| ~ ( p101 @ ( sK4_X @ SV11 ) ) ) )
= $false )
| ( ( ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(245,plain,
! [SV16: $i,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ SV16 )
| ~ ( p2 @ SV16 )
| ~ ( p101 @ SV16 ) )
= $true )
| ( ( p2 @ SV12 )
= $true )
| ( ( ~ ( p101 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(246,plain,
! [SV17: $i,SV13: $i] :
( ( ( ~ ( r1 @ SV13 @ SV17 )
| ( p2 @ SV17 )
| ~ ( p101 @ SV17 ) )
= $true )
| ( ( ~ ( p2 @ SV13 ) )
= $true )
| ( ( ~ ( p101 @ SV13 ) )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(247,plain,
! [SV14: $i,SV8: $i] :
( ( ( r1 @ SV8 @ SV14 )
= $false )
| ( ( ~ ( p1 @ SV14 ) )
= $true )
| ( ( ~ ( p100 @ SV14 ) )
= $true )
| ( ( p1 @ SV8 )
= $true )
| ( ( ~ ( p100 @ SV8 ) )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(248,plain,
! [SV15: $i,SV9: $i] :
( ( ( r1 @ SV9 @ SV15 )
= $false )
| ( ( p1 @ SV15 )
= $true )
| ( ( ~ ( p100 @ SV15 ) )
= $true )
| ( ( ~ ( p1 @ SV9 ) )
= $true )
| ( ( ~ ( p100 @ SV9 ) )
= $true )
| ( ( r1 @ sK1_X @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(249,plain,
! [SV10: $i] :
( ( ( r1 @ SV10 @ ( sK5_X @ SV10 ) )
= $true )
| ( ( ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(250,plain,
! [SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SV10 ) )
| ~ ~ ( p102 @ ( sK5_X @ SV10 ) ) )
| ~ ( p101 @ ( sK5_X @ SV10 ) ) ) )
= $true )
| ( ( ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(251,plain,
! [SV11: $i] :
( ( ( r1 @ SV11 @ ( sK4_X @ SV11 ) )
= $true )
| ( ( ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(252,plain,
! [SV11: $i] :
( ( ( ~ ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SV11 ) )
| ~ ~ ( p102 @ ( sK4_X @ SV11 ) ) )
| ~ ( p101 @ ( sK4_X @ SV11 ) ) ) )
= $true )
| ( ( ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(253,plain,
! [SV16: $i,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ SV16 )
| ~ ( p2 @ SV16 ) )
= $true )
| ( ( ~ ( p101 @ SV16 ) )
= $true )
| ( ( p2 @ SV12 )
= $true )
| ( ( ~ ( p101 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(254,plain,
! [SV17: $i,SV13: $i] :
( ( ( ~ ( r1 @ SV13 @ SV17 )
| ( p2 @ SV17 ) )
= $true )
| ( ( ~ ( p101 @ SV17 ) )
= $true )
| ( ( ~ ( p2 @ SV13 ) )
= $true )
| ( ( ~ ( p101 @ SV13 ) )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(255,plain,
! [SV8: $i,SV14: $i] :
( ( ( p1 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV14 )
= $false )
| ( ( ~ ( p100 @ SV14 ) )
= $true )
| ( ( p1 @ SV8 )
= $true )
| ( ( ~ ( p100 @ SV8 ) )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(256,plain,
! [SV9: $i,SV15: $i] :
( ( ( p100 @ SV15 )
= $false )
| ( ( p1 @ SV15 )
= $true )
| ( ( r1 @ SV9 @ SV15 )
= $false )
| ( ( ~ ( p1 @ SV9 ) )
= $true )
| ( ( ~ ( p100 @ SV9 ) )
= $true )
| ( ( r1 @ sK1_X @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(257,plain,
! [SV10: $i] :
( ( ( p101 @ SV10 )
= $true )
| ( ( ~ ( p100 @ SV10 ) )
= $true )
| ( ( r1 @ SV10 @ ( sK5_X @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(258,plain,
! [SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SV10 ) )
| ~ ~ ( p102 @ ( sK5_X @ SV10 ) ) )
| ~ ( p101 @ ( sK5_X @ SV10 ) ) )
= $false )
| ( ( ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(259,plain,
! [SV11: $i] :
( ( ( p101 @ SV11 )
= $true )
| ( ( ~ ( p100 @ SV11 ) )
= $true )
| ( ( r1 @ SV11 @ ( sK4_X @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(260,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SV11 ) )
| ~ ~ ( p102 @ ( sK4_X @ SV11 ) ) )
| ~ ( p101 @ ( sK4_X @ SV11 ) ) )
= $false )
| ( ( ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(261,plain,
! [SV16: $i,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ SV16 ) )
= $true )
| ( ( ~ ( p2 @ SV16 ) )
= $true )
| ( ( ~ ( p101 @ SV16 ) )
= $true )
| ( ( p2 @ SV12 )
= $true )
| ( ( ~ ( p101 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(262,plain,
! [SV17: $i,SV13: $i] :
( ( ( ~ ( r1 @ SV13 @ SV17 ) )
= $true )
| ( ( p2 @ SV17 )
= $true )
| ( ( ~ ( p101 @ SV17 ) )
= $true )
| ( ( ~ ( p2 @ SV13 ) )
= $true )
| ( ( ~ ( p101 @ SV13 ) )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(263,plain,
! [SV8: $i,SV14: $i] :
( ( ( p100 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV14 )
= $false )
| ( ( p1 @ SV14 )
= $false )
| ( ( p1 @ SV8 )
= $true )
| ( ( ~ ( p100 @ SV8 ) )
= $true )
| ( ( r1 @ sK1_X @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(264,plain,
! [SV15: $i,SV9: $i] :
( ( ( p1 @ SV9 )
= $false )
| ( ( r1 @ SV9 @ SV15 )
= $false )
| ( ( p1 @ SV15 )
= $true )
| ( ( p100 @ SV15 )
= $false )
| ( ( ~ ( p100 @ SV9 ) )
= $true )
| ( ( r1 @ sK1_X @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(265,plain,
! [SV10: $i] :
( ( ( p100 @ SV10 )
= $false )
| ( ( p101 @ SV10 )
= $true )
| ( ( r1 @ SV10 @ ( sK5_X @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(266,plain,
! [SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( p2 @ ( sK5_X @ SV10 ) )
| ~ ~ ( p102 @ ( sK5_X @ SV10 ) ) ) )
= $false )
| ( ( ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(267,plain,
! [SV10: $i] :
( ( ( ~ ( p101 @ ( sK5_X @ SV10 ) ) )
= $false )
| ( ( ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(268,plain,
! [SV11: $i] :
( ( ( p100 @ SV11 )
= $false )
| ( ( p101 @ SV11 )
= $true )
| ( ( r1 @ SV11 @ ( sK4_X @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(269,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ( p2 @ ( sK4_X @ SV11 ) )
| ~ ~ ( p102 @ ( sK4_X @ SV11 ) ) ) )
= $false )
| ( ( ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(270,plain,
! [SV11: $i] :
( ( ( ~ ( p101 @ ( sK4_X @ SV11 ) ) )
= $false )
| ( ( ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(271,plain,
! [SV16: $i,SV12: $i] :
( ( ( r1 @ SV12 @ SV16 )
= $false )
| ( ( ~ ( p2 @ SV16 ) )
= $true )
| ( ( ~ ( p101 @ SV16 ) )
= $true )
| ( ( p2 @ SV12 )
= $true )
| ( ( ~ ( p101 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(272,plain,
! [SV17: $i,SV13: $i] :
( ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( p2 @ SV17 )
= $true )
| ( ( ~ ( p101 @ SV17 ) )
= $true )
| ( ( ~ ( p2 @ SV13 ) )
= $true )
| ( ( ~ ( p101 @ SV13 ) )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(273,plain,
! [SV14: $i,SV8: $i] :
( ( ( p100 @ SV8 )
= $false )
| ( ( p1 @ SV8 )
= $true )
| ( ( p1 @ SV14 )
= $false )
| ( ( r1 @ SV8 @ SV14 )
= $false )
| ( ( p100 @ SV14 )
= $false )
| ( ( r1 @ sK1_X @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(274,plain,
! [SV15: $i,SV9: $i] :
( ( ( p100 @ SV9 )
= $false )
| ( ( p100 @ SV15 )
= $false )
| ( ( p1 @ SV15 )
= $true )
| ( ( r1 @ SV9 @ SV15 )
= $false )
| ( ( p1 @ SV9 )
= $false )
| ( ( r1 @ sK1_X @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(275,plain,
! [SV10: $i] :
( ( ( ~ ( ~ ~ ( p2 @ ( sK5_X @ SV10 ) )
| ~ ~ ( p102 @ ( sK5_X @ SV10 ) ) ) )
= $true )
| ( ( ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(276,plain,
! [SV10: $i] :
( ( ( p101 @ ( sK5_X @ SV10 ) )
= $true )
| ( ( ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(277,plain,
! [SV11: $i] :
( ( ( ~ ( ~ ( p2 @ ( sK4_X @ SV11 ) )
| ~ ~ ( p102 @ ( sK4_X @ SV11 ) ) ) )
= $true )
| ( ( ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(278,plain,
! [SV11: $i] :
( ( ( p101 @ ( sK4_X @ SV11 ) )
= $true )
| ( ( ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(279,plain,
! [SV12: $i,SV16: $i] :
( ( ( p2 @ SV16 )
= $false )
| ( ( r1 @ SV12 @ SV16 )
= $false )
| ( ( ~ ( p101 @ SV16 ) )
= $true )
| ( ( p2 @ SV12 )
= $true )
| ( ( ~ ( p101 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(280,plain,
! [SV13: $i,SV17: $i] :
( ( ( p101 @ SV17 )
= $false )
| ( ( p2 @ SV17 )
= $true )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( ~ ( p2 @ SV13 ) )
= $true )
| ( ( ~ ( p101 @ SV13 ) )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(281,plain,
! [SV10: $i] :
( ( ( ~ ~ ( p2 @ ( sK5_X @ SV10 ) )
| ~ ~ ( p102 @ ( sK5_X @ SV10 ) ) )
= $false )
| ( ( ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(282,plain,
! [SV10: $i] :
( ( ( p101 @ SV10 )
= $true )
| ( ( ~ ( p100 @ SV10 ) )
= $true )
| ( ( p101 @ ( sK5_X @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(283,plain,
! [SV11: $i] :
( ( ( ~ ( p2 @ ( sK4_X @ SV11 ) )
| ~ ~ ( p102 @ ( sK4_X @ SV11 ) ) )
= $false )
| ( ( ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(284,plain,
! [SV11: $i] :
( ( ( p101 @ SV11 )
= $true )
| ( ( ~ ( p100 @ SV11 ) )
= $true )
| ( ( p101 @ ( sK4_X @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(285,plain,
! [SV12: $i,SV16: $i] :
( ( ( p101 @ SV16 )
= $false )
| ( ( r1 @ SV12 @ SV16 )
= $false )
| ( ( p2 @ SV16 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( ~ ( p101 @ SV12 ) )
= $true )
| ( ( r1 @ sK1_X @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(286,plain,
! [SV17: $i,SV13: $i] :
( ( ( p2 @ SV13 )
= $false )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( p2 @ SV17 )
= $true )
| ( ( p101 @ SV17 )
= $false )
| ( ( ~ ( p101 @ SV13 ) )
= $true )
| ( ( r1 @ sK1_X @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(287,plain,
! [SV10: $i] :
( ( ( ~ ~ ( p2 @ ( sK5_X @ SV10 ) ) )
= $false )
| ( ( ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(288,plain,
! [SV10: $i] :
( ( ( ~ ~ ( p102 @ ( sK5_X @ SV10 ) ) )
= $false )
| ( ( ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(289,plain,
! [SV10: $i] :
( ( ( p100 @ SV10 )
= $false )
| ( ( p101 @ SV10 )
= $true )
| ( ( p101 @ ( sK5_X @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(290,plain,
! [SV11: $i] :
( ( ( ~ ( p2 @ ( sK4_X @ SV11 ) ) )
= $false )
| ( ( ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(291,plain,
! [SV11: $i] :
( ( ( ~ ~ ( p102 @ ( sK4_X @ SV11 ) ) )
= $false )
| ( ( ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(292,plain,
! [SV11: $i] :
( ( ( p100 @ SV11 )
= $false )
| ( ( p101 @ SV11 )
= $true )
| ( ( p101 @ ( sK4_X @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(293,plain,
! [SV16: $i,SV12: $i] :
( ( ( p101 @ SV12 )
= $false )
| ( ( p2 @ SV12 )
= $true )
| ( ( p2 @ SV16 )
= $false )
| ( ( r1 @ SV12 @ SV16 )
= $false )
| ( ( p101 @ SV16 )
= $false )
| ( ( r1 @ sK1_X @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(294,plain,
! [SV17: $i,SV13: $i] :
( ( ( p101 @ SV13 )
= $false )
| ( ( p101 @ SV17 )
= $false )
| ( ( p2 @ SV17 )
= $true )
| ( ( r1 @ SV13 @ SV17 )
= $false )
| ( ( p2 @ SV13 )
= $false )
| ( ( r1 @ sK1_X @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(295,plain,
! [SV10: $i] :
( ( ( ~ ( p2 @ ( sK5_X @ SV10 ) ) )
= $true )
| ( ( ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(296,plain,
! [SV10: $i] :
( ( ( ~ ( p102 @ ( sK5_X @ SV10 ) ) )
= $true )
| ( ( ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(297,plain,
! [SV11: $i] :
( ( ( p2 @ ( sK4_X @ SV11 ) )
= $true )
| ( ( ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(298,plain,
! [SV11: $i] :
( ( ( ~ ( p102 @ ( sK4_X @ SV11 ) ) )
= $true )
| ( ( ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(299,plain,
! [SV10: $i] :
( ( ( p2 @ ( sK5_X @ SV10 ) )
= $false )
| ( ( ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(300,plain,
! [SV10: $i] :
( ( ( p102 @ ( sK5_X @ SV10 ) )
= $false )
| ( ( ( p101 @ SV10 )
| ~ ( p100 @ SV10 ) )
= $true )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(301,plain,
! [SV11: $i] :
( ( ( p101 @ SV11 )
= $true )
| ( ( ~ ( p100 @ SV11 ) )
= $true )
| ( ( p2 @ ( sK4_X @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(302,plain,
! [SV11: $i] :
( ( ( p102 @ ( sK4_X @ SV11 ) )
= $false )
| ( ( ( p101 @ SV11 )
| ~ ( p100 @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(303,plain,
! [SV10: $i] :
( ( ( p101 @ SV10 )
= $true )
| ( ( ~ ( p100 @ SV10 ) )
= $true )
| ( ( p2 @ ( sK5_X @ SV10 ) )
= $false )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(304,plain,
! [SV10: $i] :
( ( ( p101 @ SV10 )
= $true )
| ( ( ~ ( p100 @ SV10 ) )
= $true )
| ( ( p102 @ ( sK5_X @ SV10 ) )
= $false )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(305,plain,
! [SV11: $i] :
( ( ( p100 @ SV11 )
= $false )
| ( ( p101 @ SV11 )
= $true )
| ( ( p2 @ ( sK4_X @ SV11 ) )
= $true )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(306,plain,
! [SV11: $i] :
( ( ( p101 @ SV11 )
= $true )
| ( ( ~ ( p100 @ SV11 ) )
= $true )
| ( ( p102 @ ( sK4_X @ SV11 ) )
= $false )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(307,plain,
! [SV10: $i] :
( ( ( p100 @ SV10 )
= $false )
| ( ( p101 @ SV10 )
= $true )
| ( ( p2 @ ( sK5_X @ SV10 ) )
= $false )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(308,plain,
! [SV10: $i] :
( ( ( p100 @ SV10 )
= $false )
| ( ( p101 @ SV10 )
= $true )
| ( ( p102 @ ( sK5_X @ SV10 ) )
= $false )
| ( ( r1 @ sK1_X @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(309,plain,
! [SV11: $i] :
( ( ( p100 @ SV11 )
= $false )
| ( ( p101 @ SV11 )
= $true )
| ( ( p102 @ ( sK4_X @ SV11 ) )
= $false )
| ( ( r1 @ sK1_X @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(310,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[18,309,308,307,305,294,293,292,289,274,273,268,265,228,227,226,218,191,189,166,164,163,151,150,148,146,136,123,122,43,36,27,20]) ).
thf(311,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[310]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL636+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 5 00:20:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45
% 0.19/0.45 No.of.Axioms: 0
% 0.19/0.45
% 0.19/0.45 Length.of.Defs: 0
% 0.19/0.45
% 0.19/0.45 Contains.Choice.Funs: false
% 0.36/0.52 (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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)..................................
% 0.78/0.96
% 0.78/0.96 ********************************
% 0.78/0.96 * All subproblems solved! *
% 0.78/0.96 ********************************
% 0.78/0.96 % 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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:310,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.83/0.99
% 0.83/0.99 %**** Beginning of derivation protocol ****
% 0.83/0.99 % SZS output start CNFRefutation
% See solution above
% 0.83/0.99
% 0.83/0.99 %**** End of derivation protocol ****
% 0.83/0.99 %**** no. of clauses in derivation: 311 ****
% 0.83/0.99 %**** clause counter: 310 ****
% 0.83/0.99
% 0.83/0.99 % 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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:310,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------