TSTP Solution File: SEV126^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV126^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 17:35:12 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 12
% Syntax : Number of formulae : 94 ( 39 unt; 11 typ; 0 def)
% Number of atoms : 673 ( 140 equ; 0 cnn)
% Maximal formula atoms : 4 ( 8 avg)
% Number of connectives : 1929 ( 367 ~; 252 |; 55 &;1169 @)
% ( 0 <=>; 86 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 158 ( 158 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 377 ( 0 ^ 377 !; 0 ?; 377 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK10_SY101,type,
sK10_SY101: ( a > a > $o ) > a ).
thf(tp_sK1_P,type,
sK1_P: ( a > a > $o ) > $o ).
thf(tp_sK2_SY17,type,
sK2_SY17: a > a > $o ).
thf(tp_sK3_SY33,type,
sK3_SY33: a > a > $o ).
thf(tp_sK4_SY48,type,
sK4_SY48: a ).
thf(tp_sK5_SY62,type,
sK5_SY62: a ).
thf(tp_sK6_SY78,type,
sK6_SY78: a > a > $o ).
thf(tp_sK7_SY59,type,
sK7_SY59: a > a > a > a > $o ).
thf(tp_sK8_SY42,type,
sK8_SY42: a > a > a > a > $o ).
thf(tp_sK9_SY51,type,
sK9_SY51: ( a > a > $o ) > a ).
thf(1,conjecture,
! [P: ( a > a > $o ) > $o,R: a > a > $o,S: a > a > $o,Xx: a,Xy: a] :
( ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( ( R @ Xx0 @ Xy0 )
| ( S @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xy0 ) )
& ( P @ Xp ) )
=> ( Xp @ Xx @ Xy ) )
=> ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( ! [Xp0: a > a > $o] :
( ( ! [Xx1: a,Xy1: a] :
( ( R @ Xx1 @ Xy1 )
=> ( Xp0 @ Xx1 @ Xy1 ) )
& ( P @ Xp0 ) )
=> ( Xp0 @ Xx0 @ Xy0 ) )
| ! [Xp0: a > a > $o] :
( ( ! [Xx1: a,Xy1: a] :
( ( S @ Xx1 @ Xy1 )
=> ( Xp0 @ Xx1 @ Xy1 ) )
& ( P @ Xp0 ) )
=> ( Xp0 @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx0 @ Xy0 ) )
& ( P @ Xp ) )
=> ( Xp @ Xx @ Xy ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM252B_pme) ).
thf(2,negated_conjecture,
( ( ! [P: ( a > a > $o ) > $o,R: a > a > $o,S: a > a > $o,Xx: a,Xy: a] :
( ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( ( R @ Xx0 @ Xy0 )
| ( S @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xy0 ) )
& ( P @ Xp ) )
=> ( Xp @ Xx @ Xy ) )
=> ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( ! [Xp0: a > a > $o] :
( ( ! [Xx1: a,Xy1: a] :
( ( R @ Xx1 @ Xy1 )
=> ( Xp0 @ Xx1 @ Xy1 ) )
& ( P @ Xp0 ) )
=> ( Xp0 @ Xx0 @ Xy0 ) )
| ! [Xp0: a > a > $o] :
( ( ! [Xx1: a,Xy1: a] :
( ( S @ Xx1 @ Xy1 )
=> ( Xp0 @ Xx1 @ Xy1 ) )
& ( P @ Xp0 ) )
=> ( Xp0 @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx0 @ Xy0 ) )
& ( P @ Xp ) )
=> ( Xp @ Xx @ Xy ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [P: ( a > a > $o ) > $o,R: a > a > $o,S: a > a > $o,Xx: a,Xy: a] :
( ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( ( R @ Xx0 @ Xy0 )
| ( S @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xy0 ) )
& ( P @ Xp ) )
=> ( Xp @ Xx @ Xy ) )
=> ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( ! [Xp0: a > a > $o] :
( ( ! [Xx1: a,Xy1: a] :
( ( R @ Xx1 @ Xy1 )
=> ( Xp0 @ Xx1 @ Xy1 ) )
& ( P @ Xp0 ) )
=> ( Xp0 @ Xx0 @ Xy0 ) )
| ! [Xp0: a > a > $o] :
( ( ! [Xx1: a,Xy1: a] :
( ( S @ Xx1 @ Xy1 )
=> ( Xp0 @ Xx1 @ Xy1 ) )
& ( P @ Xp0 ) )
=> ( Xp0 @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx0 @ Xy0 ) )
& ( P @ Xp ) )
=> ( Xp @ Xx @ Xy ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY17: a > a > $o,SY18: a > a > $o,SY19: a,SY20: a] :
( ! [SY21: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( ( SY17 @ Xx0 @ Xy0 )
| ( SY18 @ Xx0 @ Xy0 ) )
=> ( SY21 @ Xx0 @ Xy0 ) )
& ( sK1_P @ SY21 ) )
=> ( SY21 @ SY19 @ SY20 ) )
=> ! [SY24: a > a > $o] :
( ( ! [SY25: a,SY26: a] :
( ( ! [SY27: a > a > $o] :
( ( ! [Xx1: a,Xy1: a] :
( ( SY17 @ Xx1 @ Xy1 )
=> ( SY27 @ Xx1 @ Xy1 ) )
& ( sK1_P @ SY27 ) )
=> ( SY27 @ SY25 @ SY26 ) )
| ! [SY30: a > a > $o] :
( ( ! [Xx1: a,Xy1: a] :
( ( SY18 @ Xx1 @ Xy1 )
=> ( SY30 @ Xx1 @ Xy1 ) )
& ( sK1_P @ SY30 ) )
=> ( SY30 @ SY25 @ SY26 ) ) )
=> ( SY24 @ SY25 @ SY26 ) )
& ( sK1_P @ SY24 ) )
=> ( SY24 @ SY19 @ SY20 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY33: a > a > $o,SY34: a,SY35: a] :
( ! [SY36: a > a > $o] :
( ( ! [SY37: a,SY38: a] :
( ( ( sK2_SY17 @ SY37 @ SY38 )
| ( SY33 @ SY37 @ SY38 ) )
=> ( SY36 @ SY37 @ SY38 ) )
& ( sK1_P @ SY36 ) )
=> ( SY36 @ SY34 @ SY35 ) )
=> ! [SY39: a > a > $o] :
( ( ! [SY40: a,SY41: a] :
( ( ! [SY42: a > a > $o] :
( ( ! [SY43: a,SY44: a] :
( ( sK2_SY17 @ SY43 @ SY44 )
=> ( SY42 @ SY43 @ SY44 ) )
& ( sK1_P @ SY42 ) )
=> ( SY42 @ SY40 @ SY41 ) )
| ! [SY30: a > a > $o] :
( ( ! [Xx1: a,Xy1: a] :
( ( SY33 @ Xx1 @ Xy1 )
=> ( SY30 @ Xx1 @ Xy1 ) )
& ( sK1_P @ SY30 ) )
=> ( SY30 @ SY40 @ SY41 ) ) )
=> ( SY39 @ SY40 @ SY41 ) )
& ( sK1_P @ SY39 ) )
=> ( SY39 @ SY34 @ SY35 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY48: a,SY49: a] :
( ! [SY50: a > a > $o] :
( ( ! [SY51: a,SY52: a] :
( ( ( sK2_SY17 @ SY51 @ SY52 )
| ( sK3_SY33 @ SY51 @ SY52 ) )
=> ( SY50 @ SY51 @ SY52 ) )
& ( sK1_P @ SY50 ) )
=> ( SY50 @ SY48 @ SY49 ) )
=> ! [SY53: a > a > $o] :
( ( ! [SY54: a,SY55: a] :
( ( ! [SY42: a > a > $o] :
( ( ! [SY43: a,SY44: a] :
( ( sK2_SY17 @ SY43 @ SY44 )
=> ( SY42 @ SY43 @ SY44 ) )
& ( sK1_P @ SY42 ) )
=> ( SY42 @ SY54 @ SY55 ) )
| ! [SY59: a > a > $o] :
( ( ! [SY60: a,SY61: a] :
( ( sK3_SY33 @ SY60 @ SY61 )
=> ( SY59 @ SY60 @ SY61 ) )
& ( sK1_P @ SY59 ) )
=> ( SY59 @ SY54 @ SY55 ) ) )
=> ( SY53 @ SY54 @ SY55 ) )
& ( sK1_P @ SY53 ) )
=> ( SY53 @ SY48 @ SY49 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY62: a] :
( ! [SY63: a > a > $o] :
( ( ! [SY51: a,SY52: a] :
( ( ( sK2_SY17 @ SY51 @ SY52 )
| ( sK3_SY33 @ SY51 @ SY52 ) )
=> ( SY63 @ SY51 @ SY52 ) )
& ( sK1_P @ SY63 ) )
=> ( SY63 @ sK4_SY48 @ SY62 ) )
=> ! [SY66: a > a > $o] :
( ( ! [SY54: a,SY55: a] :
( ( ! [SY42: a > a > $o] :
( ( ! [SY43: a,SY44: a] :
( ( sK2_SY17 @ SY43 @ SY44 )
=> ( SY42 @ SY43 @ SY44 ) )
& ( sK1_P @ SY42 ) )
=> ( SY42 @ SY54 @ SY55 ) )
| ! [SY59: a > a > $o] :
( ( ! [SY60: a,SY61: a] :
( ( sK3_SY33 @ SY60 @ SY61 )
=> ( SY59 @ SY60 @ SY61 ) )
& ( sK1_P @ SY59 ) )
=> ( SY59 @ SY54 @ SY55 ) ) )
=> ( SY66 @ SY54 @ SY55 ) )
& ( sK1_P @ SY66 ) )
=> ( SY66 @ sK4_SY48 @ SY62 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY75: a > a > $o] :
( ( ! [SY51: a,SY52: a] :
( ( ( sK2_SY17 @ SY51 @ SY52 )
| ( sK3_SY33 @ SY51 @ SY52 ) )
=> ( SY75 @ SY51 @ SY52 ) )
& ( sK1_P @ SY75 ) )
=> ( SY75 @ sK4_SY48 @ sK5_SY62 ) )
=> ! [SY78: a > a > $o] :
( ( ! [SY54: a,SY55: a] :
( ( ! [SY42: a > a > $o] :
( ( ! [SY43: a,SY44: a] :
( ( sK2_SY17 @ SY43 @ SY44 )
=> ( SY42 @ SY43 @ SY44 ) )
& ( sK1_P @ SY42 ) )
=> ( SY42 @ SY54 @ SY55 ) )
| ! [SY59: a > a > $o] :
( ( ! [SY60: a,SY61: a] :
( ( sK3_SY33 @ SY60 @ SY61 )
=> ( SY59 @ SY60 @ SY61 ) )
& ( sK1_P @ SY59 ) )
=> ( SY59 @ SY54 @ SY55 ) ) )
=> ( SY78 @ SY54 @ SY55 ) )
& ( sK1_P @ SY78 ) )
=> ( SY78 @ sK4_SY48 @ sK5_SY62 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[7]) ).
thf(9,plain,
( ( ! [SY75: a > a > $o] :
( ( ! [SY51: a,SY52: a] :
( ( ( sK2_SY17 @ SY51 @ SY52 )
| ( sK3_SY33 @ SY51 @ SY52 ) )
=> ( SY75 @ SY51 @ SY52 ) )
& ( sK1_P @ SY75 ) )
=> ( SY75 @ sK4_SY48 @ sK5_SY62 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [SY78: a > a > $o] :
( ( ! [SY54: a,SY55: a] :
( ( ! [SY42: a > a > $o] :
( ( ! [SY43: a,SY44: a] :
( ( sK2_SY17 @ SY43 @ SY44 )
=> ( SY42 @ SY43 @ SY44 ) )
& ( sK1_P @ SY42 ) )
=> ( SY42 @ SY54 @ SY55 ) )
| ! [SY59: a > a > $o] :
( ( ! [SY60: a,SY61: a] :
( ( sK3_SY33 @ SY60 @ SY61 )
=> ( SY59 @ SY60 @ SY61 ) )
& ( sK1_P @ SY59 ) )
=> ( SY59 @ SY54 @ SY55 ) ) )
=> ( SY78 @ SY54 @ SY55 ) )
& ( sK1_P @ SY78 ) )
=> ( SY78 @ sK4_SY48 @ sK5_SY62 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ! [SY78: a > a > $o] :
( ( ! [SY54: a,SY55: a] :
( ( ! [SY42: a > a > $o] :
( ( ! [SY43: a,SY44: a] :
( ( sK2_SY17 @ SY43 @ SY44 )
=> ( SY42 @ SY43 @ SY44 ) )
& ( sK1_P @ SY42 ) )
=> ( SY42 @ SY54 @ SY55 ) )
| ! [SY59: a > a > $o] :
( ( ! [SY60: a,SY61: a] :
( ( sK3_SY33 @ SY60 @ SY61 )
=> ( SY59 @ SY60 @ SY61 ) )
& ( sK1_P @ SY59 ) )
=> ( SY59 @ SY54 @ SY55 ) ) )
=> ( SY78 @ SY54 @ SY55 ) )
& ( sK1_P @ SY78 ) )
=> ( SY78 @ sK4_SY48 @ sK5_SY62 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [SY87: a,SY88: a] :
( ( ! [SY99: a,SY100: a] :
( ~ ( sK2_SY17 @ SY99 @ SY100 )
| ( sK8_SY42 @ SY88 @ SY87 @ SY99 @ SY100 ) )
& ( sK1_P @ ( sK8_SY42 @ SY88 @ SY87 ) )
& ~ ( sK8_SY42 @ SY88 @ SY87 @ SY87 @ SY88 ) )
| ( sK6_SY78 @ SY87 @ SY88 ) )
& ! [SY92: a,SY93: a] :
( ( ! [SY97: a,SY98: a] :
( ~ ( sK3_SY33 @ SY97 @ SY98 )
| ( sK7_SY59 @ SY93 @ SY92 @ SY97 @ SY98 ) )
& ( sK1_P @ ( sK7_SY59 @ SY93 @ SY92 ) )
& ~ ( sK7_SY59 @ SY93 @ SY92 @ SY92 @ SY93 ) )
| ( sK6_SY78 @ SY92 @ SY93 ) )
& ( sK1_P @ sK6_SY78 )
& ~ ( sK6_SY78 @ sK4_SY48 @ sK5_SY62 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(13,plain,
( ( ! [SY75: a > a > $o] :
( ( ( ( sK2_SY17 @ ( sK9_SY51 @ SY75 ) @ ( sK10_SY101 @ SY75 ) )
| ( sK3_SY33 @ ( sK9_SY51 @ SY75 ) @ ( sK10_SY101 @ SY75 ) ) )
& ~ ( SY75 @ ( sK9_SY51 @ SY75 ) @ ( sK10_SY101 @ SY75 ) ) )
| ~ ( sK1_P @ SY75 )
| ( SY75 @ sK4_SY48 @ sK5_SY62 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(14,plain,
( ( ! [SY75: a > a > $o] :
( ( ( ( sK2_SY17 @ ( sK9_SY51 @ SY75 ) @ ( sK10_SY101 @ SY75 ) )
| ( sK3_SY33 @ ( sK9_SY51 @ SY75 ) @ ( sK10_SY101 @ SY75 ) ) )
& ~ ( SY75 @ ( sK9_SY51 @ SY75 ) @ ( sK10_SY101 @ SY75 ) ) )
| ~ ( sK1_P @ SY75 )
| ( SY75 @ sK4_SY48 @ sK5_SY62 ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(15,plain,
( ( ! [SY87: a,SY88: a] :
( ( ! [SY99: a,SY100: a] :
( ~ ( sK2_SY17 @ SY99 @ SY100 )
| ( sK8_SY42 @ SY88 @ SY87 @ SY99 @ SY100 ) )
& ( sK1_P @ ( sK8_SY42 @ SY88 @ SY87 ) )
& ~ ( sK8_SY42 @ SY88 @ SY87 @ SY87 @ SY88 ) )
| ( sK6_SY78 @ SY87 @ SY88 ) )
& ! [SY92: a,SY93: a] :
( ( ! [SY97: a,SY98: a] :
( ~ ( sK3_SY33 @ SY97 @ SY98 )
| ( sK7_SY59 @ SY93 @ SY92 @ SY97 @ SY98 ) )
& ( sK1_P @ ( sK7_SY59 @ SY93 @ SY92 ) )
& ~ ( sK7_SY59 @ SY93 @ SY92 @ SY92 @ SY93 ) )
| ( sK6_SY78 @ SY92 @ SY93 ) )
& ( sK1_P @ sK6_SY78 )
& ~ ( sK6_SY78 @ sK4_SY48 @ sK5_SY62 ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(16,plain,
( ( ! [SX0: a > a > $o] :
( ~ ( ~ ( ( sK2_SY17 @ ( sK9_SY51 @ SX0 ) @ ( sK10_SY101 @ SX0 ) )
| ( sK3_SY33 @ ( sK9_SY51 @ SX0 ) @ ( sK10_SY101 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK9_SY51 @ SX0 ) @ ( sK10_SY101 @ SX0 ) ) )
| ~ ( sK1_P @ SX0 )
| ( SX0 @ sK4_SY48 @ sK5_SY62 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY17 @ SX2 @ SX3 )
| ( sK8_SY42 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK8_SY42 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK8_SY42 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK3_SY33 @ SX2 @ SX3 )
| ( sK7_SY59 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK7_SY59 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK7_SY59 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) ) )
| ~ ( sK1_P @ sK6_SY78 ) )
| ~ ~ ( sK6_SY78 @ sK4_SY48 @ sK5_SY62 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(18,plain,
! [SV1: a > a > $o] :
( ( ~ ( ~ ( ( sK2_SY17 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) )
| ( sK3_SY33 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) ) )
| ~ ( sK1_P @ SV1 )
| ( SV1 @ sK4_SY48 @ sK5_SY62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY17 @ SX2 @ SX3 )
| ( sK8_SY42 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK8_SY42 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK8_SY42 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK3_SY33 @ SX2 @ SX3 )
| ( sK7_SY59 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK7_SY59 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK7_SY59 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) ) )
| ~ ( sK1_P @ sK6_SY78 ) )
| ~ ~ ( sK6_SY78 @ sK4_SY48 @ sK5_SY62 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(20,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ( ( sK2_SY17 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) )
| ( sK3_SY33 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) ) )
| ~ ( sK1_P @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY48 @ sK5_SY62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(21,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY17 @ SX2 @ SX3 )
| ( sK8_SY42 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK8_SY42 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK8_SY42 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK3_SY33 @ SX2 @ SX3 )
| ( sK7_SY59 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK7_SY59 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK7_SY59 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) ) )
| ~ ( sK1_P @ sK6_SY78 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(22,plain,
( ( ~ ~ ( sK6_SY78 @ sK4_SY48 @ sK5_SY62 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(23,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ( ( sK2_SY17 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) )
| ( sK3_SY33 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( sK1_P @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY48 @ sK5_SY62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(24,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY17 @ SX2 @ SX3 )
| ( sK8_SY42 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK8_SY42 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK8_SY42 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK3_SY33 @ SX2 @ SX3 )
| ( sK7_SY59 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK7_SY59 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK7_SY59 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) ) )
| ~ ( sK1_P @ sK6_SY78 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ( sK6_SY78 @ sK4_SY48 @ sK5_SY62 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(26,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ( sK2_SY17 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) )
| ( sK3_SY33 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_P @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY48 @ sK5_SY62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY17 @ SX2 @ SX3 )
| ( sK8_SY42 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK8_SY42 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK8_SY42 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK3_SY33 @ SX2 @ SX3 )
| ( sK7_SY59 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK7_SY59 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK7_SY59 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) ) )
| ~ ( sK1_P @ sK6_SY78 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(28,plain,
( ( sK6_SY78 @ sK4_SY48 @ sK5_SY62 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ( sK2_SY17 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) )
| ( sK3_SY33 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( sK1_P @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY48 @ sK5_SY62 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( SV1 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_P @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY48 @ sK5_SY62 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(31,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY17 @ SX2 @ SX3 )
| ( sK8_SY42 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK8_SY42 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK8_SY42 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK3_SY33 @ SX2 @ SX3 )
| ( sK7_SY59 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK7_SY59 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK7_SY59 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(32,plain,
( ( ~ ( sK1_P @ sK6_SY78 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(33,plain,
! [SV1: a > a > $o] :
( ( ( ( sK2_SY17 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) )
| ( sK3_SY33 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) ) )
= $true )
| ( ( ~ ( sK1_P @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY48 @ sK5_SY62 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(34,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) ) )
= $true )
| ( ( ~ ( sK1_P @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY48 @ sK5_SY62 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(35,plain,
( ( ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY17 @ SX2 @ SX3 )
| ( sK8_SY42 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK8_SY42 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK8_SY42 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK3_SY33 @ SX2 @ SX3 )
| ( sK7_SY59 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK7_SY59 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK7_SY59 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(36,plain,
( ( sK1_P @ sK6_SY78 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(37,plain,
! [SV1: a > a > $o] :
( ( ( sK2_SY17 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) )
= $true )
| ( ( sK3_SY33 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_P @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY48 @ sK5_SY62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(38,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) )
= $false )
| ( ( ~ ( sK1_P @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY48 @ sK5_SY62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(39,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY17 @ SX2 @ SX3 )
| ( sK8_SY42 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK8_SY42 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK8_SY42 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK3_SY33 @ SX2 @ SX3 )
| ( sK7_SY59 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK7_SY59 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK7_SY59 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(40,plain,
! [SV1: a > a > $o] :
( ( ( sK1_P @ SV1 )
= $false )
| ( ( sK3_SY33 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) )
= $true )
| ( ( sK2_SY17 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY48 @ sK5_SY62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(41,plain,
! [SV1: a > a > $o] :
( ( ( sK1_P @ SV1 )
= $false )
| ( ( SV1 @ ( sK9_SY51 @ SV1 ) @ ( sK10_SY101 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY48 @ sK5_SY62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(42,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY17 @ SX2 @ SX3 )
| ( sK8_SY42 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK8_SY42 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK8_SY42 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(43,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK3_SY33 @ SX2 @ SX3 )
| ( sK7_SY59 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK7_SY59 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK7_SY59 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(44,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY17 @ SX2 @ SX3 )
| ( sK8_SY42 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK8_SY42 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK8_SY42 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(45,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK3_SY33 @ SX2 @ SX3 )
| ( sK7_SY59 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ( sK1_P @ ( sK7_SY59 @ SX1 @ SX0 ) ) )
| ~ ~ ( sK7_SY59 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK6_SY78 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(46,plain,
! [SV2: a] :
( ( ! [SY102: a] :
( ~ ( ~ ~ ( ~ ! [SY103: a,SY104: a] :
( ~ ( sK2_SY17 @ SY103 @ SY104 )
| ( sK8_SY42 @ SY102 @ SV2 @ SY103 @ SY104 ) )
| ~ ( sK1_P @ ( sK8_SY42 @ SY102 @ SV2 ) ) )
| ~ ~ ( sK8_SY42 @ SY102 @ SV2 @ SV2 @ SY102 ) )
| ( sK6_SY78 @ SV2 @ SY102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(47,plain,
! [SV3: a] :
( ( ! [SY105: a] :
( ~ ( ~ ~ ( ~ ! [SY106: a,SY107: a] :
( ~ ( sK3_SY33 @ SY106 @ SY107 )
| ( sK7_SY59 @ SY105 @ SV3 @ SY106 @ SY107 ) )
| ~ ( sK1_P @ ( sK7_SY59 @ SY105 @ SV3 ) ) )
| ~ ~ ( sK7_SY59 @ SY105 @ SV3 @ SV3 @ SY105 ) )
| ( sK6_SY78 @ SV3 @ SY105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(48,plain,
! [SV2: a,SV4: a] :
( ( ~ ( ~ ~ ( ~ ! [SY108: a,SY109: a] :
( ~ ( sK2_SY17 @ SY108 @ SY109 )
| ( sK8_SY42 @ SV4 @ SV2 @ SY108 @ SY109 ) )
| ~ ( sK1_P @ ( sK8_SY42 @ SV4 @ SV2 ) ) )
| ~ ~ ( sK8_SY42 @ SV4 @ SV2 @ SV2 @ SV4 ) )
| ( sK6_SY78 @ SV2 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(49,plain,
! [SV3: a,SV5: a] :
( ( ~ ( ~ ~ ( ~ ! [SY110: a,SY111: a] :
( ~ ( sK3_SY33 @ SY110 @ SY111 )
| ( sK7_SY59 @ SV5 @ SV3 @ SY110 @ SY111 ) )
| ~ ( sK1_P @ ( sK7_SY59 @ SV5 @ SV3 ) ) )
| ~ ~ ( sK7_SY59 @ SV5 @ SV3 @ SV3 @ SV5 ) )
| ( sK6_SY78 @ SV3 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(50,plain,
! [SV2: a,SV4: a] :
( ( ( ~ ( ~ ~ ( ~ ! [SY108: a,SY109: a] :
( ~ ( sK2_SY17 @ SY108 @ SY109 )
| ( sK8_SY42 @ SV4 @ SV2 @ SY108 @ SY109 ) )
| ~ ( sK1_P @ ( sK8_SY42 @ SV4 @ SV2 ) ) )
| ~ ~ ( sK8_SY42 @ SV4 @ SV2 @ SV2 @ SV4 ) ) )
= $true )
| ( ( sK6_SY78 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(51,plain,
! [SV3: a,SV5: a] :
( ( ( ~ ( ~ ~ ( ~ ! [SY110: a,SY111: a] :
( ~ ( sK3_SY33 @ SY110 @ SY111 )
| ( sK7_SY59 @ SV5 @ SV3 @ SY110 @ SY111 ) )
| ~ ( sK1_P @ ( sK7_SY59 @ SV5 @ SV3 ) ) )
| ~ ~ ( sK7_SY59 @ SV5 @ SV3 @ SV3 @ SV5 ) ) )
= $true )
| ( ( sK6_SY78 @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(52,plain,
! [SV2: a,SV4: a] :
( ( ( ~ ~ ( ~ ! [SY108: a,SY109: a] :
( ~ ( sK2_SY17 @ SY108 @ SY109 )
| ( sK8_SY42 @ SV4 @ SV2 @ SY108 @ SY109 ) )
| ~ ( sK1_P @ ( sK8_SY42 @ SV4 @ SV2 ) ) )
| ~ ~ ( sK8_SY42 @ SV4 @ SV2 @ SV2 @ SV4 ) )
= $false )
| ( ( sK6_SY78 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(53,plain,
! [SV3: a,SV5: a] :
( ( ( ~ ~ ( ~ ! [SY110: a,SY111: a] :
( ~ ( sK3_SY33 @ SY110 @ SY111 )
| ( sK7_SY59 @ SV5 @ SV3 @ SY110 @ SY111 ) )
| ~ ( sK1_P @ ( sK7_SY59 @ SV5 @ SV3 ) ) )
| ~ ~ ( sK7_SY59 @ SV5 @ SV3 @ SV3 @ SV5 ) )
= $false )
| ( ( sK6_SY78 @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(54,plain,
! [SV2: a,SV4: a] :
( ( ( ~ ~ ( ~ ! [SY108: a,SY109: a] :
( ~ ( sK2_SY17 @ SY108 @ SY109 )
| ( sK8_SY42 @ SV4 @ SV2 @ SY108 @ SY109 ) )
| ~ ( sK1_P @ ( sK8_SY42 @ SV4 @ SV2 ) ) ) )
= $false )
| ( ( sK6_SY78 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(55,plain,
! [SV2: a,SV4: a] :
( ( ( ~ ~ ( sK8_SY42 @ SV4 @ SV2 @ SV2 @ SV4 ) )
= $false )
| ( ( sK6_SY78 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(56,plain,
! [SV3: a,SV5: a] :
( ( ( ~ ~ ( ~ ! [SY110: a,SY111: a] :
( ~ ( sK3_SY33 @ SY110 @ SY111 )
| ( sK7_SY59 @ SV5 @ SV3 @ SY110 @ SY111 ) )
| ~ ( sK1_P @ ( sK7_SY59 @ SV5 @ SV3 ) ) ) )
= $false )
| ( ( sK6_SY78 @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(57,plain,
! [SV3: a,SV5: a] :
( ( ( ~ ~ ( sK7_SY59 @ SV5 @ SV3 @ SV3 @ SV5 ) )
= $false )
| ( ( sK6_SY78 @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(58,plain,
! [SV2: a,SV4: a] :
( ( ( ~ ( ~ ! [SY108: a,SY109: a] :
( ~ ( sK2_SY17 @ SY108 @ SY109 )
| ( sK8_SY42 @ SV4 @ SV2 @ SY108 @ SY109 ) )
| ~ ( sK1_P @ ( sK8_SY42 @ SV4 @ SV2 ) ) ) )
= $true )
| ( ( sK6_SY78 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(59,plain,
! [SV2: a,SV4: a] :
( ( ( ~ ( sK8_SY42 @ SV4 @ SV2 @ SV2 @ SV4 ) )
= $true )
| ( ( sK6_SY78 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(60,plain,
! [SV3: a,SV5: a] :
( ( ( ~ ( ~ ! [SY110: a,SY111: a] :
( ~ ( sK3_SY33 @ SY110 @ SY111 )
| ( sK7_SY59 @ SV5 @ SV3 @ SY110 @ SY111 ) )
| ~ ( sK1_P @ ( sK7_SY59 @ SV5 @ SV3 ) ) ) )
= $true )
| ( ( sK6_SY78 @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(61,plain,
! [SV3: a,SV5: a] :
( ( ( ~ ( sK7_SY59 @ SV5 @ SV3 @ SV3 @ SV5 ) )
= $true )
| ( ( sK6_SY78 @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(62,plain,
! [SV2: a,SV4: a] :
( ( ( ~ ! [SY108: a,SY109: a] :
( ~ ( sK2_SY17 @ SY108 @ SY109 )
| ( sK8_SY42 @ SV4 @ SV2 @ SY108 @ SY109 ) )
| ~ ( sK1_P @ ( sK8_SY42 @ SV4 @ SV2 ) ) )
= $false )
| ( ( sK6_SY78 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(63,plain,
! [SV2: a,SV4: a] :
( ( ( sK8_SY42 @ SV4 @ SV2 @ SV2 @ SV4 )
= $false )
| ( ( sK6_SY78 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(64,plain,
! [SV3: a,SV5: a] :
( ( ( ~ ! [SY110: a,SY111: a] :
( ~ ( sK3_SY33 @ SY110 @ SY111 )
| ( sK7_SY59 @ SV5 @ SV3 @ SY110 @ SY111 ) )
| ~ ( sK1_P @ ( sK7_SY59 @ SV5 @ SV3 ) ) )
= $false )
| ( ( sK6_SY78 @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(65,plain,
! [SV3: a,SV5: a] :
( ( ( sK7_SY59 @ SV5 @ SV3 @ SV3 @ SV5 )
= $false )
| ( ( sK6_SY78 @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(66,plain,
! [SV2: a,SV4: a] :
( ( ( ~ ! [SY108: a,SY109: a] :
( ~ ( sK2_SY17 @ SY108 @ SY109 )
| ( sK8_SY42 @ SV4 @ SV2 @ SY108 @ SY109 ) ) )
= $false )
| ( ( sK6_SY78 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(67,plain,
! [SV2: a,SV4: a] :
( ( ( ~ ( sK1_P @ ( sK8_SY42 @ SV4 @ SV2 ) ) )
= $false )
| ( ( sK6_SY78 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(68,plain,
! [SV3: a,SV5: a] :
( ( ( ~ ! [SY110: a,SY111: a] :
( ~ ( sK3_SY33 @ SY110 @ SY111 )
| ( sK7_SY59 @ SV5 @ SV3 @ SY110 @ SY111 ) ) )
= $false )
| ( ( sK6_SY78 @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(69,plain,
! [SV3: a,SV5: a] :
( ( ( ~ ( sK1_P @ ( sK7_SY59 @ SV5 @ SV3 ) ) )
= $false )
| ( ( sK6_SY78 @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(70,plain,
! [SV2: a,SV4: a] :
( ( ( ! [SY108: a,SY109: a] :
( ~ ( sK2_SY17 @ SY108 @ SY109 )
| ( sK8_SY42 @ SV4 @ SV2 @ SY108 @ SY109 ) ) )
= $true )
| ( ( sK6_SY78 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(71,plain,
! [SV2: a,SV4: a] :
( ( ( sK1_P @ ( sK8_SY42 @ SV4 @ SV2 ) )
= $true )
| ( ( sK6_SY78 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(72,plain,
! [SV3: a,SV5: a] :
( ( ( ! [SY110: a,SY111: a] :
( ~ ( sK3_SY33 @ SY110 @ SY111 )
| ( sK7_SY59 @ SV5 @ SV3 @ SY110 @ SY111 ) ) )
= $true )
| ( ( sK6_SY78 @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(73,plain,
! [SV3: a,SV5: a] :
( ( ( sK1_P @ ( sK7_SY59 @ SV5 @ SV3 ) )
= $true )
| ( ( sK6_SY78 @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(74,plain,
! [SV2: a,SV4: a,SV6: a] :
( ( ( ! [SY112: a] :
( ~ ( sK2_SY17 @ SV6 @ SY112 )
| ( sK8_SY42 @ SV4 @ SV2 @ SV6 @ SY112 ) ) )
= $true )
| ( ( sK6_SY78 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(75,plain,
! [SV3: a,SV5: a,SV7: a] :
( ( ( ! [SY113: a] :
( ~ ( sK3_SY33 @ SV7 @ SY113 )
| ( sK7_SY59 @ SV5 @ SV3 @ SV7 @ SY113 ) ) )
= $true )
| ( ( sK6_SY78 @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(76,plain,
! [SV2: a,SV4: a,SV8: a,SV6: a] :
( ( ( ~ ( sK2_SY17 @ SV6 @ SV8 )
| ( sK8_SY42 @ SV4 @ SV2 @ SV6 @ SV8 ) )
= $true )
| ( ( sK6_SY78 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(77,plain,
! [SV3: a,SV5: a,SV9: a,SV7: a] :
( ( ( ~ ( sK3_SY33 @ SV7 @ SV9 )
| ( sK7_SY59 @ SV5 @ SV3 @ SV7 @ SV9 ) )
= $true )
| ( ( sK6_SY78 @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(78,plain,
! [SV2: a,SV4: a,SV8: a,SV6: a] :
( ( ( ~ ( sK2_SY17 @ SV6 @ SV8 ) )
= $true )
| ( ( sK8_SY42 @ SV4 @ SV2 @ SV6 @ SV8 )
= $true )
| ( ( sK6_SY78 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(79,plain,
! [SV3: a,SV5: a,SV9: a,SV7: a] :
( ( ( ~ ( sK3_SY33 @ SV7 @ SV9 ) )
= $true )
| ( ( sK7_SY59 @ SV5 @ SV3 @ SV7 @ SV9 )
= $true )
| ( ( sK6_SY78 @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(80,plain,
! [SV2: a,SV4: a,SV8: a,SV6: a] :
( ( ( sK2_SY17 @ SV6 @ SV8 )
= $false )
| ( ( sK8_SY42 @ SV4 @ SV2 @ SV6 @ SV8 )
= $true )
| ( ( sK6_SY78 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(81,plain,
! [SV3: a,SV5: a,SV9: a,SV7: a] :
( ( ( sK3_SY33 @ SV7 @ SV9 )
= $false )
| ( ( sK7_SY59 @ SV5 @ SV3 @ SV7 @ SV9 )
= $true )
| ( ( sK6_SY78 @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(82,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[28,81,80,73,71,65,63,41,40,36]) ).
thf(83,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV126^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n016.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
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 27 22:31:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.37 (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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)........
% 0.19/0.46
% 0.19/0.46 ********************************
% 0.19/0.46 * All subproblems solved! *
% 0.19/0.46 ********************************
% 0.19/0.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:82,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.46
% 0.19/0.46 %**** Beginning of derivation protocol ****
% 0.19/0.46 % SZS output start CNFRefutation
% See solution above
% 0.19/0.47
% 0.19/0.47 %**** End of derivation protocol ****
% 0.19/0.47 %**** no. of clauses in derivation: 83 ****
% 0.19/0.47 %**** clause counter: 82 ****
% 0.19/0.47
% 0.19/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:82,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------