TSTP Solution File: LCL650+1.001 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL650+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 : n020.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 12:24:56 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 21
% Syntax : Number of formulae : 207 ( 82 unt; 20 typ; 0 def)
% Number of atoms : 2562 ( 458 equ; 0 cnn)
% Maximal formula atoms : 43 ( 13 avg)
% Number of connectives : 5932 (1794 ~;1369 |; 90 &;2679 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 20 usr; 12 con; 0-2 aty)
% Number of variables : 691 ( 0 ^ 687 !; 4 ?; 691 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_p1,type,
p1: $i > $o ).
thf(tp_p2,type,
p2: $i > $o ).
thf(tp_p3,type,
p3: $i > $o ).
thf(tp_p4,type,
p4: $i > $o ).
thf(tp_p5,type,
p5: $i > $o ).
thf(tp_p6,type,
p6: $i > $o ).
thf(tp_p8,type,
p8: $i > $o ).
thf(tp_r1,type,
r1: $i > $i > $o ).
thf(tp_sK10_SY54,type,
sK10_SY54: $i ).
thf(tp_sK11_SY57,type,
sK11_SY57: $i ).
thf(tp_sK12_SY59,type,
sK12_SY59: $i ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_Y,type,
sK2_Y: $i > $i > $i ).
thf(tp_sK3_X,type,
sK3_X: $i > $i ).
thf(tp_sK4_SY29,type,
sK4_SY29: $i ).
thf(tp_sK5_SY25,type,
sK5_SY25: $i ).
thf(tp_sK6_SY48,type,
sK6_SY48: $i ).
thf(tp_sK7_SY51,type,
sK7_SY51: $i ).
thf(tp_sK8_SY53,type,
sK8_SY53: $i ).
thf(tp_sK9_SY21,type,
sK9_SY21: $i ).
thf(1,conjecture,
~ ? [X: $i] :
~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ~ ( p8 @ X )
& ~ ( p6 @ X )
& ~ ( p4 @ X )
& ~ ( p2 @ X ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p5 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p3 @ X )
& ~ ( p1 @ X ) )
| ( ( p1 @ X )
& ( p3 @ X ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p2 @ X )
& ~ ( p3 @ X ) )
| ( ( p3 @ X )
& ( p2 @ X ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p1 @ X )
& ~ ( p2 @ X ) )
| ( ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ( p4 @ X )
& ( p3 @ X )
& ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
thf(2,negated_conjecture,
( ( ~ ? [X: $i] :
~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ~ ( p8 @ X )
& ~ ( p6 @ X )
& ~ ( p4 @ X )
& ~ ( p2 @ X ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p5 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p3 @ X )
& ~ ( p1 @ X ) )
| ( ( p1 @ X )
& ( p3 @ X ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p2 @ X )
& ~ ( p3 @ X ) )
| ( ( p3 @ X )
& ( p2 @ X ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p1 @ X )
& ~ ( p2 @ X ) )
| ( ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ( p4 @ X )
& ( p3 @ X )
& ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ~ ? [X: $i] :
~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ~ ( p8 @ X )
& ~ ( p6 @ X )
& ~ ( p4 @ X )
& ~ ( p2 @ X ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p5 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p3 @ X )
& ~ ( p1 @ X ) )
| ( ( p1 @ X )
& ( p3 @ X ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p2 @ X )
& ~ ( p3 @ X ) )
| ( ( p3 @ X )
& ( p2 @ X ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p1 @ X )
& ~ ( p2 @ X ) )
| ( ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ( p4 @ X )
& ( p3 @ X )
& ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ? [X: $i] :
~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ~ ( p8 @ X )
& ~ ( p6 @ X )
& ~ ( p4 @ X )
& ~ ( p2 @ X ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p5 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p3 @ X )
& ~ ( p1 @ X ) )
| ( ( p1 @ X )
& ( p3 @ X ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p2 @ X )
& ~ ( p3 @ X ) )
| ( ( p3 @ X )
& ( p2 @ X ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p1 @ X )
& ~ ( p2 @ X ) )
| ( ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ( p4 @ X )
& ( p3 @ X )
& ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ( r1 @ sK1_X @ sK9_SY21 )
& ( r1 @ sK9_SY21 @ sK10_SY54 )
& ( r1 @ sK10_SY54 @ sK11_SY57 )
& ( r1 @ sK11_SY57 @ sK12_SY59 )
& ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 )
| ~ ( p2 @ sK12_SY59 )
| ~ ( p1 @ sK12_SY59 ) )
& ( r1 @ sK1_X @ sK5_SY25 )
& ( r1 @ sK5_SY25 @ sK6_SY48 )
& ( r1 @ sK6_SY48 @ sK7_SY51 )
& ( r1 @ sK7_SY51 @ sK8_SY53 )
& ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) )
& ( r1 @ sK1_X @ sK4_SY29 )
& ~ ( p5 @ sK4_SY29 )
& ! [SY30: $i] :
( ~ ( r1 @ sK1_X @ SY30 )
| ! [X: $i] :
( ~ ( r1 @ SY30 @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X )
| ( p1 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X )
| ~ ( p3 @ X ) ) ) ) ) )
& ! [SY35: $i] :
( ~ ( r1 @ sK1_X @ SY35 )
| ( ( r1 @ SY35 @ ( sK3_X @ SY35 ) )
& ~ ( p4 @ ( sK3_X @ SY35 ) ) ) )
& ! [SY37: $i] :
( ~ ( r1 @ sK1_X @ SY37 )
| ( ! [X: $i] :
( ~ ( r1 @ SY37 @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p2 @ X )
| ( p3 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p2 @ X )
| ~ ( p3 @ X ) ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ SY37 @ X )
| ( ( r1 @ X @ ( sK2_Y @ X @ SY37 ) )
& ~ ( p3 @ ( sK2_Y @ X @ SY37 ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ SY37 @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X )
| ( p2 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X )
| ~ ( p2 @ X ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ( r1 @ sK1_X @ sK9_SY21 )
& ( r1 @ sK9_SY21 @ sK10_SY54 )
& ( r1 @ sK10_SY54 @ sK11_SY57 )
& ( r1 @ sK11_SY57 @ sK12_SY59 )
& ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 )
| ~ ( p2 @ sK12_SY59 )
| ~ ( p1 @ sK12_SY59 ) )
& ( r1 @ sK1_X @ sK5_SY25 )
& ( r1 @ sK5_SY25 @ sK6_SY48 )
& ( r1 @ sK6_SY48 @ sK7_SY51 )
& ( r1 @ sK7_SY51 @ sK8_SY53 )
& ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) )
& ( r1 @ sK1_X @ sK4_SY29 )
& ~ ( p5 @ sK4_SY29 )
& ! [SY30: $i] :
( ~ ( r1 @ sK1_X @ SY30 )
| ! [X: $i] :
( ~ ( r1 @ SY30 @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p3 @ X )
| ( p1 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X )
| ~ ( p3 @ X ) ) ) ) ) )
& ! [SY35: $i] :
( ~ ( r1 @ sK1_X @ SY35 )
| ( ( r1 @ SY35 @ ( sK3_X @ SY35 ) )
& ~ ( p4 @ ( sK3_X @ SY35 ) ) ) )
& ! [SY37: $i] :
( ~ ( r1 @ sK1_X @ SY37 )
| ( ! [X: $i] :
( ~ ( r1 @ SY37 @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p2 @ X )
| ( p3 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p2 @ X )
| ~ ( p3 @ X ) ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ SY37 @ X )
| ( ( r1 @ X @ ( sK2_Y @ X @ SY37 ) )
& ~ ( p3 @ ( sK2_Y @ X @ SY37 ) ) ) )
& ! [X: $i] :
( ~ ( r1 @ SY37 @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X )
| ( p2 @ X ) )
& ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( p1 @ X )
| ~ ( p2 @ X ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK9_SY21 )
| ~ ~ ( ~ ( r1 @ sK9_SY21 @ sK10_SY54 )
| ~ ~ ( ~ ( r1 @ sK10_SY54 @ sK11_SY57 )
| ~ ~ ( ~ ( r1 @ sK11_SY57 @ sK12_SY59 )
| ~ ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 )
| ~ ( p2 @ sK12_SY59 )
| ~ ( p1 @ sK12_SY59 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK5_SY25 )
| ~ ~ ( ~ ( r1 @ sK5_SY25 @ sK6_SY48 )
| ~ ~ ( ~ ( r1 @ sK6_SY48 @ sK7_SY51 )
| ~ ~ ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY29 )
| ~ ~ ( p5 @ sK4_SY29 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 )
| ( p1 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK3_X @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK2_Y @ SX1 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 )
| ( p2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK9_SY21 )
| ~ ~ ( ~ ( r1 @ sK9_SY21 @ sK10_SY54 )
| ~ ~ ( ~ ( r1 @ sK10_SY54 @ sK11_SY57 )
| ~ ~ ( ~ ( r1 @ sK11_SY57 @ sK12_SY59 )
| ~ ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 )
| ~ ( p2 @ sK12_SY59 )
| ~ ( p1 @ sK12_SY59 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK5_SY25 )
| ~ ~ ( ~ ( r1 @ sK5_SY25 @ sK6_SY48 )
| ~ ~ ( ~ ( r1 @ sK6_SY48 @ sK7_SY51 )
| ~ ~ ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY29 )
| ~ ~ ( p5 @ sK4_SY29 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 )
| ( p1 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK3_X @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK2_Y @ SX1 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 )
| ( p2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7]) ).
thf(9,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK9_SY21 )
| ~ ~ ( ~ ( r1 @ sK9_SY21 @ sK10_SY54 )
| ~ ~ ( ~ ( r1 @ sK10_SY54 @ sK11_SY57 )
| ~ ~ ( ~ ( r1 @ sK11_SY57 @ sK12_SY59 )
| ~ ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 )
| ~ ( p2 @ sK12_SY59 )
| ~ ( p1 @ sK12_SY59 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[8]) ).
thf(10,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK5_SY25 )
| ~ ~ ( ~ ( r1 @ sK5_SY25 @ sK6_SY48 )
| ~ ~ ( ~ ( r1 @ sK6_SY48 @ sK7_SY51 )
| ~ ~ ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY29 )
| ~ ~ ( p5 @ sK4_SY29 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 )
| ( p1 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK3_X @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK2_Y @ SX1 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 )
| ( p2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ( ~ ( r1 @ sK1_X @ sK9_SY21 )
| ~ ~ ( ~ ( r1 @ sK9_SY21 @ sK10_SY54 )
| ~ ~ ( ~ ( r1 @ sK10_SY54 @ sK11_SY57 )
| ~ ~ ( ~ ( r1 @ sK11_SY57 @ sK12_SY59 )
| ~ ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 )
| ~ ( p2 @ sK12_SY59 )
| ~ ( p1 @ sK12_SY59 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[9]) ).
thf(12,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK5_SY25 )
| ~ ~ ( ~ ( r1 @ sK5_SY25 @ sK6_SY48 )
| ~ ~ ( ~ ( r1 @ sK6_SY48 @ sK7_SY51 )
| ~ ~ ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY29 )
| ~ ~ ( p5 @ sK4_SY29 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 )
| ( p1 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK3_X @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK2_Y @ SX1 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 )
| ( p2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ( r1 @ sK1_X @ sK9_SY21 )
| ~ ~ ( ~ ( r1 @ sK9_SY21 @ sK10_SY54 )
| ~ ~ ( ~ ( r1 @ sK10_SY54 @ sK11_SY57 )
| ~ ~ ( ~ ( r1 @ sK11_SY57 @ sK12_SY59 )
| ~ ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 )
| ~ ( p2 @ sK12_SY59 )
| ~ ( p1 @ sK12_SY59 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK5_SY25 )
| ~ ~ ( ~ ( r1 @ sK5_SY25 @ sK6_SY48 )
| ~ ~ ( ~ ( r1 @ sK6_SY48 @ sK7_SY51 )
| ~ ~ ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY29 )
| ~ ~ ( p5 @ sK4_SY29 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 )
| ( p1 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK3_X @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK2_Y @ SX1 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 )
| ( p2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( r1 @ sK1_X @ sK9_SY21 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ~ ( ~ ( r1 @ sK9_SY21 @ sK10_SY54 )
| ~ ~ ( ~ ( r1 @ sK10_SY54 @ sK11_SY57 )
| ~ ~ ( ~ ( r1 @ sK11_SY57 @ sK12_SY59 )
| ~ ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 )
| ~ ( p2 @ sK12_SY59 )
| ~ ( p1 @ sK12_SY59 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(17,plain,
( ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK5_SY25 )
| ~ ~ ( ~ ( r1 @ sK5_SY25 @ sK6_SY48 )
| ~ ~ ( ~ ( r1 @ sK6_SY48 @ sK7_SY51 )
| ~ ~ ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY29 )
| ~ ~ ( p5 @ sK4_SY29 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(18,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 )
| ( p1 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK3_X @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK2_Y @ SX1 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 )
| ( p2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(19,plain,
( ( r1 @ sK1_X @ sK9_SY21 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(20,plain,
( ( ~ ( ~ ( r1 @ sK9_SY21 @ sK10_SY54 )
| ~ ~ ( ~ ( r1 @ sK10_SY54 @ sK11_SY57 )
| ~ ~ ( ~ ( r1 @ sK11_SY57 @ sK12_SY59 )
| ~ ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 )
| ~ ( p2 @ sK12_SY59 )
| ~ ( p1 @ sK12_SY59 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(21,plain,
( ( ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK5_SY25 )
| ~ ~ ( ~ ( r1 @ sK5_SY25 @ sK6_SY48 )
| ~ ~ ( ~ ( r1 @ sK6_SY48 @ sK7_SY51 )
| ~ ~ ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY29 )
| ~ ~ ( p5 @ sK4_SY29 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(22,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 )
| ( p1 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK3_X @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK2_Y @ SX1 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 )
| ( p2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(23,plain,
( ( ~ ( r1 @ sK9_SY21 @ sK10_SY54 )
| ~ ~ ( ~ ( r1 @ sK10_SY54 @ sK11_SY57 )
| ~ ~ ( ~ ( r1 @ sK11_SY57 @ sK12_SY59 )
| ~ ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 )
| ~ ( p2 @ sK12_SY59 )
| ~ ( p1 @ sK12_SY59 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(24,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK5_SY25 )
| ~ ~ ( ~ ( r1 @ sK5_SY25 @ sK6_SY48 )
| ~ ~ ( ~ ( r1 @ sK6_SY48 @ sK7_SY51 )
| ~ ~ ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) ) ) ) )
| ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY29 )
| ~ ~ ( p5 @ sK4_SY29 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 )
| ( p1 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK3_X @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK2_Y @ SX1 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 )
| ( p2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ( r1 @ sK9_SY21 @ sK10_SY54 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ~ ( ~ ( r1 @ sK10_SY54 @ sK11_SY57 )
| ~ ~ ( ~ ( r1 @ sK11_SY57 @ sK12_SY59 )
| ~ ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 )
| ~ ( p2 @ sK12_SY59 )
| ~ ( p1 @ sK12_SY59 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK5_SY25 )
| ~ ~ ( ~ ( r1 @ sK5_SY25 @ sK6_SY48 )
| ~ ~ ( ~ ( r1 @ sK6_SY48 @ sK7_SY51 )
| ~ ~ ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(29,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK4_SY29 )
| ~ ~ ( p5 @ sK4_SY29 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(30,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 )
| ( p1 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK3_X @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(31,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK2_Y @ SX1 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 )
| ( p2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(32,plain,
( ( r1 @ sK9_SY21 @ sK10_SY54 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(33,plain,
( ( ~ ( ~ ( r1 @ sK10_SY54 @ sK11_SY57 )
| ~ ~ ( ~ ( r1 @ sK11_SY57 @ sK12_SY59 )
| ~ ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 )
| ~ ( p2 @ sK12_SY59 )
| ~ ( p1 @ sK12_SY59 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(34,plain,
( ( ~ ( ~ ( r1 @ sK1_X @ sK5_SY25 )
| ~ ~ ( ~ ( r1 @ sK5_SY25 @ sK6_SY48 )
| ~ ~ ( ~ ( r1 @ sK6_SY48 @ sK7_SY51 )
| ~ ~ ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(35,plain,
( ( ~ ( ~ ( r1 @ sK1_X @ sK4_SY29 )
| ~ ~ ( p5 @ sK4_SY29 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(36,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 )
| ( p1 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK3_X @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(37,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK2_Y @ SX1 @ SX0 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 )
| ( p2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(38,plain,
( ( ~ ( r1 @ sK10_SY54 @ sK11_SY57 )
| ~ ~ ( ~ ( r1 @ sK11_SY57 @ sK12_SY59 )
| ~ ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 )
| ~ ( p2 @ sK12_SY59 )
| ~ ( p1 @ sK12_SY59 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(39,plain,
( ( ~ ( r1 @ sK1_X @ sK5_SY25 )
| ~ ~ ( ~ ( r1 @ sK5_SY25 @ sK6_SY48 )
| ~ ~ ( ~ ( r1 @ sK6_SY48 @ sK7_SY51 )
| ~ ~ ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(40,plain,
( ( ~ ( r1 @ sK1_X @ sK4_SY29 )
| ~ ~ ( p5 @ sK4_SY29 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(41,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 )
| ( p1 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK3_X @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(42,plain,
! [SV1: $i] :
( ( ~ ( r1 @ sK1_X @ SV1 )
| ~ ( ~ ~ ( ~ ! [SY60: $i] :
( ~ ( r1 @ SV1 @ SY60 )
| ! [SX2: $i] :
( ~ ( r1 @ SY60 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
| ~ ! [SY64: $i] :
( ~ ( r1 @ SV1 @ SY64 )
| ~ ( ~ ( r1 @ SY64 @ ( sK2_Y @ SY64 @ SV1 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY64 @ SV1 ) ) ) ) )
| ~ ! [SY65: $i] :
( ~ ( r1 @ SV1 @ SY65 )
| ! [SX2: $i] :
( ~ ( r1 @ SY65 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 )
| ( p2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(43,plain,
( ( ~ ( r1 @ sK10_SY54 @ sK11_SY57 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(44,plain,
( ( ~ ~ ( ~ ( r1 @ sK11_SY57 @ sK12_SY59 )
| ~ ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 )
| ~ ( p2 @ sK12_SY59 )
| ~ ( p1 @ sK12_SY59 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(45,plain,
( ( ~ ( r1 @ sK1_X @ sK5_SY25 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(46,plain,
( ( ~ ~ ( ~ ( r1 @ sK5_SY25 @ sK6_SY48 )
| ~ ~ ( ~ ( r1 @ sK6_SY48 @ sK7_SY51 )
| ~ ~ ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(47,plain,
( ( ~ ( r1 @ sK1_X @ sK4_SY29 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(48,plain,
( ( ~ ~ ( p5 @ sK4_SY29 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(49,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 )
| ( p1 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(50,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK3_X @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(51,plain,
! [SV1: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY60: $i] :
( ~ ( r1 @ SV1 @ SY60 )
| ! [SX2: $i] :
( ~ ( r1 @ SY60 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
| ~ ! [SY64: $i] :
( ~ ( r1 @ SV1 @ SY64 )
| ~ ( ~ ( r1 @ SY64 @ ( sK2_Y @ SY64 @ SV1 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY64 @ SV1 ) ) ) ) )
| ~ ! [SY65: $i] :
( ~ ( r1 @ SV1 @ SY65 )
| ! [SX2: $i] :
( ~ ( r1 @ SY65 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 )
| ( p2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(52,plain,
( ( r1 @ sK10_SY54 @ sK11_SY57 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(53,plain,
( ( ~ ( ~ ( r1 @ sK11_SY57 @ sK12_SY59 )
| ~ ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 )
| ~ ( p2 @ sK12_SY59 )
| ~ ( p1 @ sK12_SY59 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(54,plain,
( ( r1 @ sK1_X @ sK5_SY25 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(55,plain,
( ( ~ ( ~ ( r1 @ sK5_SY25 @ sK6_SY48 )
| ~ ~ ( ~ ( r1 @ sK6_SY48 @ sK7_SY51 )
| ~ ~ ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(56,plain,
( ( r1 @ sK1_X @ sK4_SY29 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(57,plain,
( ( ~ ( p5 @ sK4_SY29 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(58,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 )
| ( p1 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(59,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ~ ( ~ ( r1 @ SX0 @ ( sK3_X @ SX0 ) )
| ~ ~ ( p4 @ ( sK3_X @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(60,plain,
! [SV1: $i] :
( ( ( r1 @ sK1_X @ SV1 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY60: $i] :
( ~ ( r1 @ SV1 @ SY60 )
| ! [SX2: $i] :
( ~ ( r1 @ SY60 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
| ~ ! [SY64: $i] :
( ~ ( r1 @ SV1 @ SY64 )
| ~ ( ~ ( r1 @ SY64 @ ( sK2_Y @ SY64 @ SV1 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY64 @ SV1 ) ) ) ) )
| ~ ! [SY65: $i] :
( ~ ( r1 @ SV1 @ SY65 )
| ! [SX2: $i] :
( ~ ( r1 @ SY65 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 )
| ( p2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(61,plain,
( ( ~ ( r1 @ sK11_SY57 @ sK12_SY59 )
| ~ ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 )
| ~ ( p2 @ sK12_SY59 )
| ~ ( p1 @ sK12_SY59 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(62,plain,
( ( ~ ( r1 @ sK5_SY25 @ sK6_SY48 )
| ~ ~ ( ~ ( r1 @ sK6_SY48 @ sK7_SY51 )
| ~ ~ ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(63,plain,
( ( p5 @ sK4_SY29 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(64,plain,
! [SV2: $i] :
( ( ~ ( r1 @ sK1_X @ SV2 )
| ! [SY69: $i] :
( ~ ( r1 @ SV2 @ SY69 )
| ! [SX2: $i] :
( ~ ( r1 @ SY69 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 )
| ( p1 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(65,plain,
! [SV3: $i] :
( ( ~ ( r1 @ sK1_X @ SV3 )
| ~ ( ~ ( r1 @ SV3 @ ( sK3_X @ SV3 ) )
| ~ ~ ( p4 @ ( sK3_X @ SV3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(66,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY60: $i] :
( ~ ( r1 @ SV1 @ SY60 )
| ! [SX2: $i] :
( ~ ( r1 @ SY60 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
| ~ ! [SY64: $i] :
( ~ ( r1 @ SV1 @ SY64 )
| ~ ( ~ ( r1 @ SY64 @ ( sK2_Y @ SY64 @ SV1 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY64 @ SV1 ) ) ) ) )
| ~ ! [SY65: $i] :
( ~ ( r1 @ SV1 @ SY65 )
| ! [SX2: $i] :
( ~ ( r1 @ SY65 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 )
| ( p2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(67,plain,
( ( ~ ( r1 @ sK11_SY57 @ sK12_SY59 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(68,plain,
( ( ~ ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 )
| ~ ( p2 @ sK12_SY59 )
| ~ ( p1 @ sK12_SY59 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(69,plain,
( ( ~ ( r1 @ sK5_SY25 @ sK6_SY48 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(70,plain,
( ( ~ ~ ( ~ ( r1 @ sK6_SY48 @ sK7_SY51 )
| ~ ~ ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(71,plain,
! [SV2: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV2 ) )
= $true )
| ( ( ! [SY69: $i] :
( ~ ( r1 @ SV2 @ SY69 )
| ! [SX2: $i] :
( ~ ( r1 @ SY69 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 )
| ( p1 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(72,plain,
! [SV3: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV3 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV3 @ ( sK3_X @ SV3 ) )
| ~ ~ ( p4 @ ( sK3_X @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(73,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY60: $i] :
( ~ ( r1 @ SV1 @ SY60 )
| ! [SX2: $i] :
( ~ ( r1 @ SY60 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
| ~ ! [SY64: $i] :
( ~ ( r1 @ SV1 @ SY64 )
| ~ ( ~ ( r1 @ SY64 @ ( sK2_Y @ SY64 @ SV1 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY64 @ SV1 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(74,plain,
! [SV1: $i] :
( ( ( ~ ! [SY65: $i] :
( ~ ( r1 @ SV1 @ SY65 )
| ! [SX2: $i] :
( ~ ( r1 @ SY65 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 )
| ( p2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(75,plain,
( ( r1 @ sK11_SY57 @ sK12_SY59 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(76,plain,
( ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 )
| ~ ( p2 @ sK12_SY59 )
| ~ ( p1 @ sK12_SY59 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(77,plain,
( ( r1 @ sK5_SY25 @ sK6_SY48 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(78,plain,
( ( ~ ( ~ ( r1 @ sK6_SY48 @ sK7_SY51 )
| ~ ~ ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(79,plain,
! [SV2: $i] :
( ( ( r1 @ sK1_X @ SV2 )
= $false )
| ( ( ! [SY69: $i] :
( ~ ( r1 @ SV2 @ SY69 )
| ! [SX2: $i] :
( ~ ( r1 @ SY69 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p3 @ SX3 )
| ( p1 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(80,plain,
! [SV3: $i] :
( ( ( r1 @ sK1_X @ SV3 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV3 @ ( sK3_X @ SV3 ) )
| ~ ~ ( p4 @ ( sK3_X @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(81,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ! [SY60: $i] :
( ~ ( r1 @ SV1 @ SY60 )
| ! [SX2: $i] :
( ~ ( r1 @ SY60 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
| ~ ! [SY64: $i] :
( ~ ( r1 @ SV1 @ SY64 )
| ~ ( ~ ( r1 @ SY64 @ ( sK2_Y @ SY64 @ SV1 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY64 @ SV1 ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(82,plain,
! [SV1: $i] :
( ( ( ! [SY65: $i] :
( ~ ( r1 @ SV1 @ SY65 )
| ! [SX2: $i] :
( ~ ( r1 @ SY65 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p1 @ SX3 )
| ( p2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(83,plain,
( ( ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 )
| ~ ( p2 @ sK12_SY59 ) )
= $true )
| ( ( ~ ( p1 @ sK12_SY59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(84,plain,
( ( ~ ( r1 @ sK6_SY48 @ sK7_SY51 )
| ~ ~ ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(85,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV4 )
| ! [SY73: $i] :
( ~ ( r1 @ SV4 @ SY73 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ( p3 @ SX3 )
| ( p1 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(86,plain,
! [SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ ( sK3_X @ SV3 ) )
| ~ ~ ( p4 @ ( sK3_X @ SV3 ) ) )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(87,plain,
! [SV1: $i] :
( ( ( ~ ! [SY60: $i] :
( ~ ( r1 @ SV1 @ SY60 )
| ! [SX2: $i] :
( ~ ( r1 @ SY60 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
| ~ ! [SY64: $i] :
( ~ ( r1 @ SV1 @ SY64 )
| ~ ( ~ ( r1 @ SY64 @ ( sK2_Y @ SY64 @ SV1 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY64 @ SV1 ) ) ) ) )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(88,plain,
! [SV5: $i,SV1: $i] :
( ( ( ~ ( r1 @ SV1 @ SV5 )
| ! [SY76: $i] :
( ~ ( r1 @ SV5 @ SY76 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 )
| ( p2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(89,plain,
( ( ( ~ ( p3 @ sK12_SY59 )
| ~ ( p4 @ sK12_SY59 ) )
= $true )
| ( ( ~ ( p2 @ sK12_SY59 ) )
= $true )
| ( ( ~ ( p1 @ sK12_SY59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(90,plain,
( ( ~ ( r1 @ sK6_SY48 @ sK7_SY51 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(91,plain,
( ( ~ ~ ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(92,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV4 ) )
= $true )
| ( ( ! [SY73: $i] :
( ~ ( r1 @ SV4 @ SY73 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ( p3 @ SX3 )
| ( p1 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(93,plain,
! [SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ ( sK3_X @ SV3 ) ) )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(94,plain,
! [SV3: $i] :
( ( ( ~ ~ ( p4 @ ( sK3_X @ SV3 ) ) )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(95,plain,
! [SV1: $i] :
( ( ( ~ ! [SY60: $i] :
( ~ ( r1 @ SV1 @ SY60 )
| ! [SX2: $i] :
( ~ ( r1 @ SY60 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) ) )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(96,plain,
! [SV1: $i] :
( ( ( ~ ! [SY64: $i] :
( ~ ( r1 @ SV1 @ SY64 )
| ~ ( ~ ( r1 @ SY64 @ ( sK2_Y @ SY64 @ SV1 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY64 @ SV1 ) ) ) ) )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(97,plain,
! [SV5: $i,SV1: $i] :
( ( ( ~ ( r1 @ SV1 @ SV5 ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( r1 @ SV5 @ SY76 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 )
| ( p2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(98,plain,
( ( ( ~ ( p3 @ sK12_SY59 ) )
= $true )
| ( ( ~ ( p4 @ sK12_SY59 ) )
= $true )
| ( ( ~ ( p2 @ sK12_SY59 ) )
= $true )
| ( ( ~ ( p1 @ sK12_SY59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(99,plain,
( ( r1 @ sK6_SY48 @ sK7_SY51 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(100,plain,
( ( ~ ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(101,plain,
! [SV4: $i,SV2: $i] :
( ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( ! [SY73: $i] :
( ~ ( r1 @ SV4 @ SY73 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ( p3 @ SX3 )
| ( p1 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY73 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(102,plain,
! [SV3: $i] :
( ( ( r1 @ SV3 @ ( sK3_X @ SV3 ) )
= $true )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(103,plain,
! [SV3: $i] :
( ( ( ~ ( p4 @ ( sK3_X @ SV3 ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(104,plain,
! [SV1: $i] :
( ( ( ! [SY60: $i] :
( ~ ( r1 @ SV1 @ SY60 )
| ! [SX2: $i] :
( ~ ( r1 @ SY60 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(105,plain,
! [SV1: $i] :
( ( ( ! [SY64: $i] :
( ~ ( r1 @ SV1 @ SY64 )
| ~ ( ~ ( r1 @ SY64 @ ( sK2_Y @ SY64 @ SV1 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SY64 @ SV1 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(106,plain,
! [SV5: $i,SV1: $i] :
( ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( r1 @ SV5 @ SY76 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ( p1 @ SX3 )
| ( p2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY76 @ SX3 )
| ~ ( p1 @ SX3 )
| ~ ( p2 @ SX3 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(107,plain,
( ( ( p3 @ sK12_SY59 )
= $false )
| ( ( ~ ( p4 @ sK12_SY59 ) )
= $true )
| ( ( ~ ( p2 @ sK12_SY59 ) )
= $true )
| ( ( ~ ( p1 @ sK12_SY59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(108,plain,
( ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 )
| ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(109,plain,
! [SV2: $i,SV6: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV6 )
| ~ ( ~ ! [SY79: $i] :
( ~ ( r1 @ SV6 @ SY79 )
| ( p3 @ SY79 )
| ( p1 @ SY79 ) )
| ~ ! [SY80: $i] :
( ~ ( r1 @ SV6 @ SY80 )
| ~ ( p1 @ SY80 )
| ~ ( p3 @ SY80 ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(110,plain,
! [SV3: $i] :
( ( ( p4 @ ( sK3_X @ SV3 ) )
= $false )
| ( ( r1 @ sK1_X @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(111,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( r1 @ SV1 @ SV7 )
| ! [SY81: $i] :
( ~ ( r1 @ SV7 @ SY81 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY81 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY81 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(112,plain,
! [SV8: $i,SV1: $i] :
( ( ( ~ ( r1 @ SV1 @ SV8 )
| ~ ( ~ ( r1 @ SV8 @ ( sK2_Y @ SV8 @ SV1 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SV8 @ SV1 ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(113,plain,
! [SV1: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV9 )
| ~ ( ~ ! [SY84: $i] :
( ~ ( r1 @ SV9 @ SY84 )
| ( p1 @ SY84 )
| ( p2 @ SY84 ) )
| ~ ! [SY85: $i] :
( ~ ( r1 @ SV9 @ SY85 )
| ~ ( p1 @ SY85 )
| ~ ( p2 @ SY85 ) ) ) )
= $true )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(114,plain,
( ( ( p4 @ sK12_SY59 )
= $false )
| ( ( p3 @ sK12_SY59 )
= $false )
| ( ( ~ ( p2 @ sK12_SY59 ) )
= $true )
| ( ( ~ ( p1 @ sK12_SY59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(115,plain,
( ( ~ ( r1 @ sK7_SY51 @ sK8_SY53 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(116,plain,
( ( ~ ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(117,plain,
! [SV2: $i,SV6: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV6 ) )
= $true )
| ( ( ~ ( ~ ! [SY79: $i] :
( ~ ( r1 @ SV6 @ SY79 )
| ( p3 @ SY79 )
| ( p1 @ SY79 ) )
| ~ ! [SY80: $i] :
( ~ ( r1 @ SV6 @ SY80 )
| ~ ( p1 @ SY80 )
| ~ ( p3 @ SY80 ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(118,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( r1 @ SV1 @ SV7 ) )
= $true )
| ( ( ! [SY81: $i] :
( ~ ( r1 @ SV7 @ SY81 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY81 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY81 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(119,plain,
! [SV8: $i,SV1: $i] :
( ( ( ~ ( r1 @ SV1 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV8 @ ( sK2_Y @ SV8 @ SV1 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SV8 @ SV1 ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(120,plain,
! [SV1: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV9 ) )
= $true )
| ( ( ~ ( ~ ! [SY84: $i] :
( ~ ( r1 @ SV9 @ SY84 )
| ( p1 @ SY84 )
| ( p2 @ SY84 ) )
| ~ ! [SY85: $i] :
( ~ ( r1 @ SV9 @ SY85 )
| ~ ( p1 @ SY85 )
| ~ ( p2 @ SY85 ) ) ) )
= $true )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(121,plain,
( ( ( p2 @ sK12_SY59 )
= $false )
| ( ( p3 @ sK12_SY59 )
= $false )
| ( ( p4 @ sK12_SY59 )
= $false )
| ( ( ~ ( p1 @ sK12_SY59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(122,plain,
( ( r1 @ sK7_SY51 @ sK8_SY53 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(123,plain,
( ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 )
| ( p2 @ sK8_SY53 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(124,plain,
! [SV2: $i,SV6: $i,SV4: $i] :
( ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( ~ ( ~ ! [SY79: $i] :
( ~ ( r1 @ SV6 @ SY79 )
| ( p3 @ SY79 )
| ( p1 @ SY79 ) )
| ~ ! [SY80: $i] :
( ~ ( r1 @ SV6 @ SY80 )
| ~ ( p1 @ SY80 )
| ~ ( p3 @ SY80 ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(125,plain,
! [SV7: $i,SV1: $i] :
( ( ( r1 @ SV1 @ SV7 )
= $false )
| ( ( ! [SY81: $i] :
( ~ ( r1 @ SV7 @ SY81 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY81 @ SX3 )
| ( p2 @ SX3 )
| ( p3 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY81 @ SX3 )
| ~ ( p2 @ SX3 )
| ~ ( p3 @ SX3 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(126,plain,
! [SV8: $i,SV1: $i] :
( ( ( r1 @ SV1 @ SV8 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV8 @ ( sK2_Y @ SV8 @ SV1 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SV8 @ SV1 ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(127,plain,
! [SV1: $i,SV9: $i,SV5: $i] :
( ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( ~ ( ~ ! [SY84: $i] :
( ~ ( r1 @ SV9 @ SY84 )
| ( p1 @ SY84 )
| ( p2 @ SY84 ) )
| ~ ! [SY85: $i] :
( ~ ( r1 @ SV9 @ SY85 )
| ~ ( p1 @ SY85 )
| ~ ( p2 @ SY85 ) ) ) )
= $true )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(128,plain,
( ( ( p1 @ sK12_SY59 )
= $false )
| ( ( p4 @ sK12_SY59 )
= $false )
| ( ( p3 @ sK12_SY59 )
= $false )
| ( ( p2 @ sK12_SY59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(129,plain,
( ( ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 )
| ( p4 @ sK8_SY53 ) )
= $true )
| ( ( p2 @ sK8_SY53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(130,plain,
! [SV2: $i,SV4: $i,SV6: $i] :
( ( ( ~ ! [SY79: $i] :
( ~ ( r1 @ SV6 @ SY79 )
| ( p3 @ SY79 )
| ( p1 @ SY79 ) )
| ~ ! [SY80: $i] :
( ~ ( r1 @ SV6 @ SY80 )
| ~ ( p1 @ SY80 )
| ~ ( p3 @ SY80 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(131,plain,
! [SV1: $i,SV10: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ SV10 )
| ~ ( ~ ! [SY86: $i] :
( ~ ( r1 @ SV10 @ SY86 )
| ( p2 @ SY86 )
| ( p3 @ SY86 ) )
| ~ ! [SY87: $i] :
( ~ ( r1 @ SV10 @ SY87 )
| ~ ( p2 @ SY87 )
| ~ ( p3 @ SY87 ) ) ) )
= $true )
| ( ( r1 @ SV1 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(132,plain,
! [SV1: $i,SV8: $i] :
( ( ( ~ ( r1 @ SV8 @ ( sK2_Y @ SV8 @ SV1 ) )
| ~ ~ ( p3 @ ( sK2_Y @ SV8 @ SV1 ) ) )
= $false )
| ( ( r1 @ SV1 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(133,plain,
! [SV1: $i,SV5: $i,SV9: $i] :
( ( ( ~ ! [SY84: $i] :
( ~ ( r1 @ SV9 @ SY84 )
| ( p1 @ SY84 )
| ( p2 @ SY84 ) )
| ~ ! [SY85: $i] :
( ~ ( r1 @ SV9 @ SY85 )
| ~ ( p1 @ SY85 )
| ~ ( p2 @ SY85 ) ) )
= $false )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(134,plain,
( ( ( ( p8 @ sK8_SY53 )
| ( p6 @ sK8_SY53 ) )
= $true )
| ( ( p4 @ sK8_SY53 )
= $true )
| ( ( p2 @ sK8_SY53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(135,plain,
! [SV2: $i,SV4: $i,SV6: $i] :
( ( ( ~ ! [SY79: $i] :
( ~ ( r1 @ SV6 @ SY79 )
| ( p3 @ SY79 )
| ( p1 @ SY79 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(136,plain,
! [SV2: $i,SV4: $i,SV6: $i] :
( ( ( ~ ! [SY80: $i] :
( ~ ( r1 @ SV6 @ SY80 )
| ~ ( p1 @ SY80 )
| ~ ( p3 @ SY80 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(137,plain,
! [SV1: $i,SV10: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ SV10 ) )
= $true )
| ( ( ~ ( ~ ! [SY86: $i] :
( ~ ( r1 @ SV10 @ SY86 )
| ( p2 @ SY86 )
| ( p3 @ SY86 ) )
| ~ ! [SY87: $i] :
( ~ ( r1 @ SV10 @ SY87 )
| ~ ( p2 @ SY87 )
| ~ ( p3 @ SY87 ) ) ) )
= $true )
| ( ( r1 @ SV1 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(138,plain,
! [SV1: $i,SV8: $i] :
( ( ( ~ ( r1 @ SV8 @ ( sK2_Y @ SV8 @ SV1 ) ) )
= $false )
| ( ( r1 @ SV1 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(139,plain,
! [SV1: $i,SV8: $i] :
( ( ( ~ ~ ( p3 @ ( sK2_Y @ SV8 @ SV1 ) ) )
= $false )
| ( ( r1 @ SV1 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(140,plain,
! [SV1: $i,SV5: $i,SV9: $i] :
( ( ( ~ ! [SY84: $i] :
( ~ ( r1 @ SV9 @ SY84 )
| ( p1 @ SY84 )
| ( p2 @ SY84 ) ) )
= $false )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(141,plain,
! [SV1: $i,SV5: $i,SV9: $i] :
( ( ( ~ ! [SY85: $i] :
( ~ ( r1 @ SV9 @ SY85 )
| ~ ( p1 @ SY85 )
| ~ ( p2 @ SY85 ) ) )
= $false )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(142,plain,
( ( ( p8 @ sK8_SY53 )
= $true )
| ( ( p6 @ sK8_SY53 )
= $true )
| ( ( p4 @ sK8_SY53 )
= $true )
| ( ( p2 @ sK8_SY53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(143,plain,
! [SV2: $i,SV4: $i,SV6: $i] :
( ( ( ! [SY79: $i] :
( ~ ( r1 @ SV6 @ SY79 )
| ( p3 @ SY79 )
| ( p1 @ SY79 ) ) )
= $true )
| ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(144,plain,
! [SV2: $i,SV4: $i,SV6: $i] :
( ( ( ! [SY80: $i] :
( ~ ( r1 @ SV6 @ SY80 )
| ~ ( p1 @ SY80 )
| ~ ( p3 @ SY80 ) ) )
= $true )
| ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(145,plain,
! [SV1: $i,SV10: $i,SV7: $i] :
( ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( ~ ( ~ ! [SY86: $i] :
( ~ ( r1 @ SV10 @ SY86 )
| ( p2 @ SY86 )
| ( p3 @ SY86 ) )
| ~ ! [SY87: $i] :
( ~ ( r1 @ SV10 @ SY87 )
| ~ ( p2 @ SY87 )
| ~ ( p3 @ SY87 ) ) ) )
= $true )
| ( ( r1 @ SV1 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(146,plain,
! [SV1: $i,SV8: $i] :
( ( ( r1 @ SV8 @ ( sK2_Y @ SV8 @ SV1 ) )
= $true )
| ( ( r1 @ SV1 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(147,plain,
! [SV1: $i,SV8: $i] :
( ( ( ~ ( p3 @ ( sK2_Y @ SV8 @ SV1 ) ) )
= $true )
| ( ( r1 @ SV1 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(148,plain,
! [SV1: $i,SV5: $i,SV9: $i] :
( ( ( ! [SY84: $i] :
( ~ ( r1 @ SV9 @ SY84 )
| ( p1 @ SY84 )
| ( p2 @ SY84 ) ) )
= $true )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(149,plain,
! [SV1: $i,SV5: $i,SV9: $i] :
( ( ( ! [SY85: $i] :
( ~ ( r1 @ SV9 @ SY85 )
| ~ ( p1 @ SY85 )
| ~ ( p2 @ SY85 ) ) )
= $true )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(150,plain,
! [SV2: $i,SV4: $i,SV11: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV11 )
| ( p3 @ SV11 )
| ( p1 @ SV11 ) )
= $true )
| ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(151,plain,
! [SV2: $i,SV4: $i,SV12: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV12 )
| ~ ( p1 @ SV12 )
| ~ ( p3 @ SV12 ) )
= $true )
| ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(152,plain,
! [SV1: $i,SV7: $i,SV10: $i] :
( ( ( ~ ! [SY86: $i] :
( ~ ( r1 @ SV10 @ SY86 )
| ( p2 @ SY86 )
| ( p3 @ SY86 ) )
| ~ ! [SY87: $i] :
( ~ ( r1 @ SV10 @ SY87 )
| ~ ( p2 @ SY87 )
| ~ ( p3 @ SY87 ) ) )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV1 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(153,plain,
! [SV1: $i,SV8: $i] :
( ( ( p3 @ ( sK2_Y @ SV8 @ SV1 ) )
= $false )
| ( ( r1 @ SV1 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(154,plain,
! [SV1: $i,SV5: $i,SV13: $i,SV9: $i] :
( ( ( ~ ( r1 @ SV9 @ SV13 )
| ( p1 @ SV13 )
| ( p2 @ SV13 ) )
= $true )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(155,plain,
! [SV1: $i,SV5: $i,SV14: $i,SV9: $i] :
( ( ( ~ ( r1 @ SV9 @ SV14 )
| ~ ( p1 @ SV14 )
| ~ ( p2 @ SV14 ) )
= $true )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(156,plain,
! [SV2: $i,SV4: $i,SV11: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV11 ) )
= $true )
| ( ( ( p3 @ SV11 )
| ( p1 @ SV11 ) )
= $true )
| ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(157,plain,
! [SV2: $i,SV4: $i,SV12: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV12 ) )
= $true )
| ( ( ~ ( p1 @ SV12 )
| ~ ( p3 @ SV12 ) )
= $true )
| ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(158,plain,
! [SV1: $i,SV7: $i,SV10: $i] :
( ( ( ~ ! [SY86: $i] :
( ~ ( r1 @ SV10 @ SY86 )
| ( p2 @ SY86 )
| ( p3 @ SY86 ) ) )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV1 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(159,plain,
! [SV1: $i,SV7: $i,SV10: $i] :
( ( ( ~ ! [SY87: $i] :
( ~ ( r1 @ SV10 @ SY87 )
| ~ ( p2 @ SY87 )
| ~ ( p3 @ SY87 ) ) )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV1 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(160,plain,
! [SV1: $i,SV5: $i,SV13: $i,SV9: $i] :
( ( ( ~ ( r1 @ SV9 @ SV13 ) )
= $true )
| ( ( ( p1 @ SV13 )
| ( p2 @ SV13 ) )
= $true )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(161,plain,
! [SV1: $i,SV5: $i,SV14: $i,SV9: $i] :
( ( ( ~ ( r1 @ SV9 @ SV14 ) )
= $true )
| ( ( ~ ( p1 @ SV14 )
| ~ ( p2 @ SV14 ) )
= $true )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(162,plain,
! [SV2: $i,SV4: $i,SV11: $i,SV6: $i] :
( ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( ( p3 @ SV11 )
| ( p1 @ SV11 ) )
= $true )
| ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(163,plain,
! [SV2: $i,SV4: $i,SV12: $i,SV6: $i] :
( ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( ~ ( p1 @ SV12 )
| ~ ( p3 @ SV12 ) )
= $true )
| ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(164,plain,
! [SV1: $i,SV7: $i,SV10: $i] :
( ( ( ! [SY86: $i] :
( ~ ( r1 @ SV10 @ SY86 )
| ( p2 @ SY86 )
| ( p3 @ SY86 ) ) )
= $true )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV1 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(165,plain,
! [SV1: $i,SV7: $i,SV10: $i] :
( ( ( ! [SY87: $i] :
( ~ ( r1 @ SV10 @ SY87 )
| ~ ( p2 @ SY87 )
| ~ ( p3 @ SY87 ) ) )
= $true )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV1 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(166,plain,
! [SV1: $i,SV5: $i,SV13: $i,SV9: $i] :
( ( ( r1 @ SV9 @ SV13 )
= $false )
| ( ( ( p1 @ SV13 )
| ( p2 @ SV13 ) )
= $true )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(167,plain,
! [SV1: $i,SV5: $i,SV14: $i,SV9: $i] :
( ( ( r1 @ SV9 @ SV14 )
= $false )
| ( ( ~ ( p1 @ SV14 )
| ~ ( p2 @ SV14 ) )
= $true )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(168,plain,
! [SV2: $i,SV4: $i,SV6: $i,SV11: $i] :
( ( ( p3 @ SV11 )
= $true )
| ( ( p1 @ SV11 )
= $true )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(169,plain,
! [SV2: $i,SV4: $i,SV6: $i,SV12: $i] :
( ( ( ~ ( p1 @ SV12 ) )
= $true )
| ( ( ~ ( p3 @ SV12 ) )
= $true )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(170,plain,
! [SV1: $i,SV7: $i,SV15: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV15 )
| ( p2 @ SV15 )
| ( p3 @ SV15 ) )
= $true )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV1 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(171,plain,
! [SV1: $i,SV7: $i,SV16: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV16 )
| ~ ( p2 @ SV16 )
| ~ ( p3 @ SV16 ) )
= $true )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV1 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(172,plain,
! [SV1: $i,SV5: $i,SV9: $i,SV13: $i] :
( ( ( p1 @ SV13 )
= $true )
| ( ( p2 @ SV13 )
= $true )
| ( ( r1 @ SV9 @ SV13 )
= $false )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(173,plain,
! [SV1: $i,SV5: $i,SV9: $i,SV14: $i] :
( ( ( ~ ( p1 @ SV14 ) )
= $true )
| ( ( ~ ( p2 @ SV14 ) )
= $true )
| ( ( r1 @ SV9 @ SV14 )
= $false )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(174,plain,
! [SV2: $i,SV4: $i,SV6: $i,SV12: $i] :
( ( ( p1 @ SV12 )
= $false )
| ( ( ~ ( p3 @ SV12 ) )
= $true )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(175,plain,
! [SV1: $i,SV7: $i,SV15: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV15 ) )
= $true )
| ( ( ( p2 @ SV15 )
| ( p3 @ SV15 ) )
= $true )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV1 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(176,plain,
! [SV1: $i,SV7: $i,SV16: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV16 ) )
= $true )
| ( ( ~ ( p2 @ SV16 )
| ~ ( p3 @ SV16 ) )
= $true )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV1 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(177,plain,
! [SV1: $i,SV5: $i,SV9: $i,SV14: $i] :
( ( ( p1 @ SV14 )
= $false )
| ( ( ~ ( p2 @ SV14 ) )
= $true )
| ( ( r1 @ SV9 @ SV14 )
= $false )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(178,plain,
! [SV2: $i,SV4: $i,SV6: $i,SV12: $i] :
( ( ( p3 @ SV12 )
= $false )
| ( ( p1 @ SV12 )
= $false )
| ( ( r1 @ SV6 @ SV12 )
= $false )
| ( ( r1 @ SV4 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_X @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(179,plain,
! [SV1: $i,SV7: $i,SV15: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( ( p2 @ SV15 )
| ( p3 @ SV15 ) )
= $true )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV1 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(180,plain,
! [SV1: $i,SV7: $i,SV16: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV16 )
= $false )
| ( ( ~ ( p2 @ SV16 )
| ~ ( p3 @ SV16 ) )
= $true )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV1 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(181,plain,
! [SV1: $i,SV5: $i,SV9: $i,SV14: $i] :
( ( ( p2 @ SV14 )
= $false )
| ( ( p1 @ SV14 )
= $false )
| ( ( r1 @ SV9 @ SV14 )
= $false )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( r1 @ SV1 @ SV5 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(182,plain,
! [SV1: $i,SV7: $i,SV10: $i,SV15: $i] :
( ( ( p2 @ SV15 )
= $true )
| ( ( p3 @ SV15 )
= $true )
| ( ( r1 @ SV10 @ SV15 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV1 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(183,plain,
! [SV1: $i,SV7: $i,SV10: $i,SV16: $i] :
( ( ( ~ ( p2 @ SV16 ) )
= $true )
| ( ( ~ ( p3 @ SV16 ) )
= $true )
| ( ( r1 @ SV10 @ SV16 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV1 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(184,plain,
! [SV1: $i,SV7: $i,SV10: $i,SV16: $i] :
( ( ( p2 @ SV16 )
= $false )
| ( ( ~ ( p3 @ SV16 ) )
= $true )
| ( ( r1 @ SV10 @ SV16 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV1 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(185,plain,
! [SV1: $i,SV7: $i,SV10: $i,SV16: $i] :
( ( ( p3 @ SV16 )
= $false )
| ( ( p2 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV16 )
= $false )
| ( ( r1 @ SV7 @ SV10 )
= $false )
| ( ( r1 @ SV1 @ SV7 )
= $false )
| ( ( r1 @ sK1_X @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(186,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[19,185,182,181,178,172,168,153,146,142,128,122,110,102,99,77,75,63,56,54,52,32]) ).
thf(187,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LCL650+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 10:34:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 0
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.37 (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)......................
% 0.19/0.53
% 0.19/0.53 ********************************
% 0.19/0.53 * All subproblems solved! *
% 0.19/0.53 ********************************
% 0.19/0.53 % 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:186,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.55
% 0.19/0.55 %**** Beginning of derivation protocol ****
% 0.19/0.55 % SZS output start CNFRefutation
% See solution above
% 0.19/0.55
% 0.19/0.55 %**** End of derivation protocol ****
% 0.19/0.55 %**** no. of clauses in derivation: 187 ****
% 0.19/0.55 %**** clause counter: 186 ****
% 0.19/0.55
% 0.19/0.55 % 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:186,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------