TSTP Solution File: SEV008^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV008^5 : 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 : n024.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 17:34:19 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 14
% Syntax : Number of formulae : 226 ( 123 unt; 13 typ; 0 def)
% Number of atoms : 1412 ( 472 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 2042 ( 501 ~; 421 |; 146 &; 946 @)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 208 ( 208 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 414 ( 0 ^ 362 !; 52 ?; 414 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK10_SY47,type,
sK10_SY47: a > $o ).
thf(tp_sK11_Xz,type,
sK11_Xz: ( a > $o ) > a ).
thf(tp_sK12_SY21,type,
sK12_SY21: a > a > $o ).
thf(tp_sK1_P,type,
sK1_P: ( a > $o ) > $o ).
thf(tp_sK2_SY23,type,
sK2_SY23: a ).
thf(tp_sK3_SY25,type,
sK3_SY25: a ).
thf(tp_sK4_SY36,type,
sK4_SY36: a ).
thf(tp_sK5_SY39,type,
sK5_SY39: a > $o ).
thf(tp_sK6_SY29,type,
sK6_SY29: a ).
thf(tp_sK7_SY41,type,
sK7_SY41: a ).
thf(tp_sK8_SY46,type,
sK8_SY46: a ).
thf(tp_sK9_SY51,type,
sK9_SY51: a > $o ).
thf(1,conjecture,
! [P: ( a > $o ) > $o] :
( ( ! [Xp: a > $o] :
( ( P @ Xp )
=> ? [Xz: a] : ( Xp @ Xz ) )
& ! [Xx: a] :
? [Xp: a > $o] :
( ( P @ Xp )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ( P @ Xq )
& ( Xq @ Xx ) )
=> ( Xq = Xp ) ) ) )
=> ( ! [Xx: a] :
? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xx ) )
& ! [Xx: a,Xy: a] :
( ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xy ) )
=> ? [S: a > $o] :
( ( P @ S )
& ( S @ Xy )
& ( S @ Xx ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xy ) )
& ? [S: a > $o] :
( ( P @ S )
& ( S @ Xy )
& ( S @ Xz ) ) )
=> ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xz ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM261_pme) ).
thf(2,negated_conjecture,
( ( ! [P: ( a > $o ) > $o] :
( ( ! [Xp: a > $o] :
( ( P @ Xp )
=> ? [Xz: a] : ( Xp @ Xz ) )
& ! [Xx: a] :
? [Xp: a > $o] :
( ( P @ Xp )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ( P @ Xq )
& ( Xq @ Xx ) )
=> ( Xq = Xp ) ) ) )
=> ( ! [Xx: a] :
? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xx ) )
& ! [Xx: a,Xy: a] :
( ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xy ) )
=> ? [S: a > $o] :
( ( P @ S )
& ( S @ Xy )
& ( S @ Xx ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xy ) )
& ? [S: a > $o] :
( ( P @ S )
& ( S @ Xy )
& ( S @ Xz ) ) )
=> ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xz ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [P: ( a > $o ) > $o] :
( ( ! [Xp: a > $o] :
( ( P @ Xp )
=> ? [Xz: a] : ( Xp @ Xz ) )
& ! [Xx: a] :
? [Xp: a > $o] :
( ( P @ Xp )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ( P @ Xq )
& ( Xq @ Xx ) )
=> ( Xq = Xp ) ) ) )
=> ( ! [Xx: a] :
? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xx ) )
& ! [Xx: a,Xy: a] :
( ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xy ) )
=> ? [S: a > $o] :
( ( P @ S )
& ( S @ Xy )
& ( S @ Xx ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xy ) )
& ? [S: a > $o] :
( ( P @ S )
& ( S @ Xy )
& ( S @ Xz ) ) )
=> ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xz ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ! [SY18: a > $o] :
( ( sK1_P @ SY18 )
=> ? [Xz: a] : ( SY18 @ Xz ) )
& ! [SY20: a] :
? [SY21: a > $o] :
( ( sK1_P @ SY21 )
& ( SY21 @ SY20 )
& ! [SY22: a > $o] :
( ( ( sK1_P @ SY22 )
& ( SY22 @ SY20 ) )
=> ( SY22 = SY21 ) ) ) )
=> ( ! [SY23: a] :
? [SY24: a > $o] :
( ( sK1_P @ SY24 )
& ( SY24 @ SY23 )
& ( SY24 @ SY23 ) )
& ! [SY25: a,SY26: a] :
( ? [SY27: a > $o] :
( ( sK1_P @ SY27 )
& ( SY27 @ SY25 )
& ( SY27 @ SY26 ) )
=> ? [SY28: a > $o] :
( ( sK1_P @ SY28 )
& ( SY28 @ SY26 )
& ( SY28 @ SY25 ) ) )
& ! [SY29: a,SY30: a,SY31: a] :
( ( ? [SY32: a > $o] :
( ( sK1_P @ SY32 )
& ( SY32 @ SY29 )
& ( SY32 @ SY30 ) )
& ? [SY33: a > $o] :
( ( sK1_P @ SY33 )
& ( SY33 @ SY30 )
& ( SY33 @ SY31 ) ) )
=> ? [SY34: a > $o] :
( ( sK1_P @ SY34 )
& ( SY34 @ SY29 )
& ( SY34 @ SY31 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY18: a > $o] :
( ( sK1_P @ SY18 )
=> ? [Xz: a] : ( SY18 @ Xz ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [SY20: a] :
? [SY21: a > $o] :
( ( sK1_P @ SY21 )
& ( SY21 @ SY20 )
& ! [SY22: a > $o] :
( ( ( sK1_P @ SY22 )
& ( SY22 @ SY20 ) )
=> ( SY22 = SY21 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(7,plain,
( ( ! [SY23: a] :
? [SY24: a > $o] :
( ( sK1_P @ SY24 )
& ( SY24 @ SY23 )
& ( SY24 @ SY23 ) )
& ! [SY25: a,SY26: a] :
( ? [SY27: a > $o] :
( ( sK1_P @ SY27 )
& ( SY27 @ SY25 )
& ( SY27 @ SY26 ) )
=> ? [SY28: a > $o] :
( ( sK1_P @ SY28 )
& ( SY28 @ SY26 )
& ( SY28 @ SY25 ) ) )
& ! [SY29: a,SY30: a,SY31: a] :
( ( ? [SY32: a > $o] :
( ( sK1_P @ SY32 )
& ( SY32 @ SY29 )
& ( SY32 @ SY30 ) )
& ? [SY33: a > $o] :
( ( sK1_P @ SY33 )
& ( SY33 @ SY30 )
& ( SY33 @ SY31 ) ) )
=> ? [SY34: a > $o] :
( ( sK1_P @ SY34 )
& ( SY34 @ SY29 )
& ( SY34 @ SY31 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(8,plain,
( ( ! [SY23: a] :
? [SY24: a > $o] :
( ( sK1_P @ SY24 )
& ( SY24 @ SY23 )
& ( SY24 @ SY23 ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[7]) ).
thf(9,plain,
( ( ! [SY25: a,SY26: a] :
( ? [SY27: a > $o] :
( ( sK1_P @ SY27 )
& ( SY27 @ SY25 )
& ( SY27 @ SY26 ) )
=> ? [SY28: a > $o] :
( ( sK1_P @ SY28 )
& ( SY28 @ SY26 )
& ( SY28 @ SY25 ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[7]) ).
thf(10,plain,
( ( ! [SY29: a,SY30: a,SY31: a] :
( ( ? [SY32: a > $o] :
( ( sK1_P @ SY32 )
& ( SY32 @ SY29 )
& ( SY32 @ SY30 ) )
& ? [SY33: a > $o] :
( ( sK1_P @ SY33 )
& ( SY33 @ SY30 )
& ( SY33 @ SY31 ) ) )
=> ? [SY34: a > $o] :
( ( sK1_P @ SY34 )
& ( SY34 @ SY29 )
& ( SY34 @ SY31 ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[7]) ).
thf(11,plain,
( ( ~ ! [SY23: a] :
? [SY24: a > $o] :
( ( sK1_P @ SY24 )
& ( SY24 @ SY23 )
& ( SY24 @ SY23 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ! [SY25: a,SY26: a] :
( ? [SY27: a > $o] :
( ( sK1_P @ SY27 )
& ( SY27 @ SY25 )
& ( SY27 @ SY26 ) )
=> ? [SY28: a > $o] :
( ( sK1_P @ SY28 )
& ( SY28 @ SY26 )
& ( SY28 @ SY25 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(13,plain,
( ( ~ ! [SY29: a,SY30: a,SY31: a] :
( ( ? [SY32: a > $o] :
( ( sK1_P @ SY32 )
& ( SY32 @ SY29 )
& ( SY32 @ SY30 ) )
& ? [SY33: a > $o] :
( ( sK1_P @ SY33 )
& ( SY33 @ SY30 )
& ( SY33 @ SY31 ) ) )
=> ? [SY34: a > $o] :
( ( sK1_P @ SY34 )
& ( SY34 @ SY29 )
& ( SY34 @ SY31 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(14,plain,
( ( ! [SY35: a > $o] :
( ~ ( SY35 @ sK2_SY23 )
| ~ ( sK1_P @ SY35 )
| ~ ( SY35 @ sK2_SY23 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(15,plain,
( ( ( sK5_SY39 @ sK3_SY25 )
& ( sK1_P @ sK5_SY39 )
& ( sK5_SY39 @ sK4_SY36 )
& ! [SY40: a > $o] :
( ~ ( SY40 @ sK4_SY36 )
| ~ ( sK1_P @ SY40 )
| ~ ( SY40 @ sK3_SY25 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(16,plain,
( ( ( sK10_SY47 @ sK6_SY29 )
& ( sK1_P @ sK10_SY47 )
& ( sK10_SY47 @ sK7_SY41 )
& ( sK9_SY51 @ sK7_SY41 )
& ( sK1_P @ sK9_SY51 )
& ( sK9_SY51 @ sK8_SY46 )
& ! [SY52: a > $o] :
( ~ ( SY52 @ sK6_SY29 )
| ~ ( sK1_P @ SY52 )
| ~ ( SY52 @ sK8_SY46 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(17,plain,
( ( ! [SY18: a > $o] :
( ~ ( sK1_P @ SY18 )
| ( SY18 @ ( sK11_Xz @ SY18 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(18,plain,
( ( ! [SY20: a] :
( ! [SY53: a > $o] :
( ~ ( SY53 @ SY20 )
| ~ ( sK1_P @ SY53 )
| ( SY53
= ( sK12_SY21 @ SY20 ) ) )
& ( sK12_SY21 @ SY20 @ SY20 )
& ( sK1_P @ ( sK12_SY21 @ SY20 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(19,plain,
( ( ! [SY20: a] :
( ! [SY53: a > $o] :
( ~ ( SY53 @ SY20 )
| ~ ( sK1_P @ SY53 )
| ( SY53
= ( sK12_SY21 @ SY20 ) ) )
& ( sK12_SY21 @ SY20 @ SY20 )
& ( sK1_P @ ( sK12_SY21 @ SY20 ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(20,plain,
( ( ! [SY18: a > $o] :
( ~ ( sK1_P @ SY18 )
| ( SY18 @ ( sK11_Xz @ SY18 ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(21,plain,
( ( ! [SY35: a > $o] :
( ~ ( SY35 @ sK2_SY23 )
| ~ ( sK1_P @ SY35 )
| ~ ( SY35 @ sK2_SY23 ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(22,plain,
( ( ! [SX0: a] :
~ ( ~ ! [SX1: a > $o] :
( ~ ( SX1 @ SX0 )
| ~ ( sK1_P @ SX1 )
| ( SX1
= ( sK12_SY21 @ SX0 ) ) )
| ~ ~ ( ~ ( sK12_SY21 @ SX0 @ SX0 )
| ~ ( sK1_P @ ( sK12_SY21 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(23,plain,
! [SV1: a > $o] :
( ( ~ ( sK1_P @ SV1 )
| ( SV1 @ ( sK11_Xz @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV2: a > $o] :
( ( ~ ( SV2 @ sK2_SY23 )
| ~ ( sK1_P @ SV2 )
| ~ ( SV2 @ sK2_SY23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(25,plain,
! [SV3: a] :
( ( ~ ( ~ ! [SY54: a > $o] :
( ~ ( SY54 @ SV3 )
| ~ ( sK1_P @ SY54 )
| ( SY54
= ( sK12_SY21 @ SV3 ) ) )
| ~ ~ ( ~ ( sK12_SY21 @ SV3 @ SV3 )
| ~ ( sK1_P @ ( sK12_SY21 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV1: a > $o] :
( ( ( ~ ( sK1_P @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK11_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ sK2_SY23 )
| ~ ( sK1_P @ SV2 ) )
= $true )
| ( ( ~ ( SV2 @ sK2_SY23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(28,plain,
! [SV3: a] :
( ( ~ ! [SY54: a > $o] :
( ~ ( SY54 @ SV3 )
| ~ ( sK1_P @ SY54 )
| ( SY54
= ( sK12_SY21 @ SV3 ) ) )
| ~ ~ ( ~ ( sK12_SY21 @ SV3 @ SV3 )
| ~ ( sK1_P @ ( sK12_SY21 @ SV3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV1: a > $o] :
( ( ( sK1_P @ SV1 )
= $false )
| ( ( SV1 @ ( sK11_Xz @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(30,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ sK2_SY23 ) )
= $true )
| ( ( ~ ( sK1_P @ SV2 ) )
= $true )
| ( ( ~ ( SV2 @ sK2_SY23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV3: a] :
( ( ~ ! [SY54: a > $o] :
( ~ ( SY54 @ SV3 )
| ~ ( sK1_P @ SY54 )
| ( SY54
= ( sK12_SY21 @ SV3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(32,plain,
! [SV3: a] :
( ( ~ ~ ( ~ ( sK12_SY21 @ SV3 @ SV3 )
| ~ ( sK1_P @ ( sK12_SY21 @ SV3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(33,plain,
! [SV2: a > $o] :
( ( ( SV2 @ sK2_SY23 )
= $false )
| ( ( ~ ( sK1_P @ SV2 ) )
= $true )
| ( ( ~ ( SV2 @ sK2_SY23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV3: a] :
( ( ! [SY54: a > $o] :
( ~ ( SY54 @ SV3 )
| ~ ( sK1_P @ SY54 )
| ( SY54
= ( sK12_SY21 @ SV3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(35,plain,
! [SV3: a] :
( ( ~ ( ~ ( sK12_SY21 @ SV3 @ SV3 )
| ~ ( sK1_P @ ( sK12_SY21 @ SV3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(36,plain,
! [SV2: a > $o] :
( ( ( sK1_P @ SV2 )
= $false )
| ( ( SV2 @ sK2_SY23 )
= $false )
| ( ( ~ ( SV2 @ sK2_SY23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(37,plain,
! [SV3: a,SV4: a > $o] :
( ( ~ ( SV4 @ SV3 )
| ~ ( sK1_P @ SV4 )
| ( SV4
= ( sK12_SY21 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV3: a] :
( ( ~ ( sK12_SY21 @ SV3 @ SV3 )
| ~ ( sK1_P @ ( sK12_SY21 @ SV3 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(39,plain,
! [SV2: a > $o] :
( ( ( SV2 @ sK2_SY23 )
= $false )
| ( ( SV2 @ sK2_SY23 )
= $false )
| ( ( sK1_P @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(40,plain,
! [SV3: a,SV4: a > $o] :
( ( ( ~ ( SV4 @ SV3 )
| ~ ( sK1_P @ SV4 ) )
= $true )
| ( ( SV4
= ( sK12_SY21 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(41,plain,
! [SV3: a] :
( ( ~ ( sK12_SY21 @ SV3 @ SV3 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(42,plain,
! [SV3: a] :
( ( ~ ( sK1_P @ ( sK12_SY21 @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(43,plain,
! [SV3: a,SV4: a > $o] :
( ( ( ~ ( SV4 @ SV3 ) )
= $true )
| ( ( ~ ( sK1_P @ SV4 ) )
= $true )
| ( ( SV4
= ( sK12_SY21 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(44,plain,
! [SV3: a] :
( ( sK12_SY21 @ SV3 @ SV3 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(45,plain,
! [SV3: a] :
( ( sK1_P @ ( sK12_SY21 @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(46,plain,
! [SV3: a,SV4: a > $o] :
( ( ( SV4 @ SV3 )
= $false )
| ( ( ~ ( sK1_P @ SV4 ) )
= $true )
| ( ( SV4
= ( sK12_SY21 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(47,plain,
! [SV3: a,SV4: a > $o] :
( ( ( sK1_P @ SV4 )
= $false )
| ( ( SV4 @ SV3 )
= $false )
| ( ( SV4
= ( sK12_SY21 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(48,plain,
! [SV3: a,SV4: a > $o] :
( ( ( ! [SV5: a] :
( ( SV4 @ SV5 )
= ( sK12_SY21 @ SV3 @ SV5 ) ) )
= $true )
| ( ( SV4 @ SV3 )
= $false )
| ( ( sK1_P @ SV4 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[47]) ).
thf(49,plain,
! [SV3: a,SV4: a > $o] :
( ( ( SV4
= ( sK12_SY21 @ SV3 ) )
= $true )
| ( ( SV4 @ SV3 )
= $false )
| ( ( sK1_P @ SV4 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[47]) ).
thf(50,plain,
! [SV3: a,SV6: a,SV4: a > $o] :
( ( ( ( SV4 @ SV6 )
= ( sK12_SY21 @ SV3 @ SV6 ) )
= $true )
| ( ( SV4 @ SV3 )
= $false )
| ( ( sK1_P @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(51,plain,
! [SV3: a,SV6: a,SV4: a > $o] :
( ( ( ~ ( ( SV4 @ SV6 )
| ( sK12_SY21 @ SV3 @ SV6 ) )
| ~ ( ~ ( SV4 @ SV6 )
| ~ ( sK12_SY21 @ SV3 @ SV6 ) ) )
= $true )
| ( ( SV4 @ SV3 )
= $false )
| ( ( sK1_P @ SV4 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[50]) ).
thf(52,plain,
! [SV3: a,SV6: a,SV4: a > $o] :
( ( ( ( SV4 @ SV6 )
= ( sK12_SY21 @ SV3 @ SV6 ) )
= $true )
| ( ( SV4 @ SV3 )
= $false )
| ( ( sK1_P @ SV4 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[50]) ).
thf(53,plain,
! [SV3: a,SV6: a,SV4: a > $o] :
( ( ( ~ ( ( SV4 @ SV6 )
| ( sK12_SY21 @ SV3 @ SV6 ) ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV6 )
| ~ ( sK12_SY21 @ SV3 @ SV6 ) ) )
= $true )
| ( ( SV4 @ SV3 )
= $false )
| ( ( sK1_P @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(54,plain,
! [SV3: a,SV6: a,SV4: a > $o] :
( ( ( ( SV4 @ SV6 )
| ( sK12_SY21 @ SV3 @ SV6 ) )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV6 )
| ~ ( sK12_SY21 @ SV3 @ SV6 ) ) )
= $true )
| ( ( SV4 @ SV3 )
= $false )
| ( ( sK1_P @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(55,plain,
! [SV3: a,SV6: a,SV4: a > $o] :
( ( ( SV4 @ SV6 )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV6 )
| ~ ( sK12_SY21 @ SV3 @ SV6 ) ) )
= $true )
| ( ( SV4 @ SV3 )
= $false )
| ( ( sK1_P @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(56,plain,
! [SV4: a > $o,SV6: a,SV3: a] :
( ( ( sK12_SY21 @ SV3 @ SV6 )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV6 )
| ~ ( sK12_SY21 @ SV3 @ SV6 ) ) )
= $true )
| ( ( SV4 @ SV3 )
= $false )
| ( ( sK1_P @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(57,plain,
! [SV3: a,SV6: a,SV4: a > $o] :
( ( ( ~ ( SV4 @ SV6 )
| ~ ( sK12_SY21 @ SV3 @ SV6 ) )
= $false )
| ( ( SV4 @ SV6 )
= $false )
| ( ( SV4 @ SV3 )
= $false )
| ( ( sK1_P @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(58,plain,
! [SV3: a,SV6: a,SV4: a > $o] :
( ( ( ~ ( SV4 @ SV6 )
| ~ ( sK12_SY21 @ SV3 @ SV6 ) )
= $false )
| ( ( sK12_SY21 @ SV3 @ SV6 )
= $false )
| ( ( SV4 @ SV3 )
= $false )
| ( ( sK1_P @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(59,plain,
! [SV3: a,SV6: a,SV4: a > $o] :
( ( ( ~ ( SV4 @ SV6 ) )
= $false )
| ( ( SV4 @ SV6 )
= $false )
| ( ( SV4 @ SV3 )
= $false )
| ( ( sK1_P @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(60,plain,
! [SV4: a > $o,SV6: a,SV3: a] :
( ( ( ~ ( sK12_SY21 @ SV3 @ SV6 ) )
= $false )
| ( ( SV4 @ SV6 )
= $false )
| ( ( SV4 @ SV3 )
= $false )
| ( ( sK1_P @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(61,plain,
! [SV3: a,SV6: a,SV4: a > $o] :
( ( ( ~ ( SV4 @ SV6 ) )
= $false )
| ( ( sK12_SY21 @ SV3 @ SV6 )
= $false )
| ( ( SV4 @ SV3 )
= $false )
| ( ( sK1_P @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(62,plain,
! [SV4: a > $o,SV6: a,SV3: a] :
( ( ( ~ ( sK12_SY21 @ SV3 @ SV6 ) )
= $false )
| ( ( sK12_SY21 @ SV3 @ SV6 )
= $false )
| ( ( SV4 @ SV3 )
= $false )
| ( ( sK1_P @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(63,plain,
! [SV3: a,SV6: a,SV4: a > $o] :
( ( ( SV4 @ SV6 )
= $true )
| ( ( SV4 @ SV6 )
= $false )
| ( ( SV4 @ SV3 )
= $false )
| ( ( sK1_P @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(64,plain,
! [SV4: a > $o,SV6: a,SV3: a] :
( ( ( sK12_SY21 @ SV3 @ SV6 )
= $true )
| ( ( SV4 @ SV6 )
= $false )
| ( ( SV4 @ SV3 )
= $false )
| ( ( sK1_P @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(65,plain,
! [SV3: a,SV6: a,SV4: a > $o] :
( ( ( SV4 @ SV6 )
= $true )
| ( ( sK12_SY21 @ SV3 @ SV6 )
= $false )
| ( ( SV4 @ SV3 )
= $false )
| ( ( sK1_P @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(66,plain,
! [SV4: a > $o,SV6: a,SV3: a] :
( ( ( sK12_SY21 @ SV3 @ SV6 )
= $true )
| ( ( sK12_SY21 @ SV3 @ SV6 )
= $false )
| ( ( SV4 @ SV3 )
= $false )
| ( ( sK1_P @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(67,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[29,66,65,64,63,52,49,45,44,39]) ).
thf(68,plain,
( ( ! [SY20: a] :
( ! [SY53: a > $o] :
( ~ ( SY53 @ SY20 )
| ~ ( sK1_P @ SY53 )
| ( SY53
= ( sK12_SY21 @ SY20 ) ) )
& ( sK12_SY21 @ SY20 @ SY20 )
& ( sK1_P @ ( sK12_SY21 @ SY20 ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(69,plain,
( ( ! [SY18: a > $o] :
( ~ ( sK1_P @ SY18 )
| ( SY18 @ ( sK11_Xz @ SY18 ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(70,plain,
( ( ( sK5_SY39 @ sK3_SY25 )
& ( sK1_P @ sK5_SY39 )
& ( sK5_SY39 @ sK4_SY36 )
& ! [SY40: a > $o] :
( ~ ( SY40 @ sK4_SY36 )
| ~ ( sK1_P @ SY40 )
| ~ ( SY40 @ sK3_SY25 ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(71,plain,
( ( ! [SX0: a] :
~ ( ~ ! [SX1: a > $o] :
( ~ ( SX1 @ SX0 )
| ~ ( sK1_P @ SX1 )
| ( SX1
= ( sK12_SY21 @ SX0 ) ) )
| ~ ~ ( ~ ( sK12_SY21 @ SX0 @ SX0 )
| ~ ( sK1_P @ ( sK12_SY21 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(72,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK5_SY39 @ sK3_SY25 )
| ~ ( sK1_P @ sK5_SY39 ) )
| ~ ( sK5_SY39 @ sK4_SY36 ) )
| ~ ! [SX0: a > $o] :
( ~ ( SX0 @ sK4_SY36 )
| ~ ( sK1_P @ SX0 )
| ~ ( SX0 @ sK3_SY25 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(73,plain,
! [SV7: a > $o] :
( ( ~ ( sK1_P @ SV7 )
| ( SV7 @ ( sK11_Xz @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(74,plain,
! [SV8: a] :
( ( ~ ( ~ ! [SY55: a > $o] :
( ~ ( SY55 @ SV8 )
| ~ ( sK1_P @ SY55 )
| ( SY55
= ( sK12_SY21 @ SV8 ) ) )
| ~ ~ ( ~ ( sK12_SY21 @ SV8 @ SV8 )
| ~ ( sK1_P @ ( sK12_SY21 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(75,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK5_SY39 @ sK3_SY25 )
| ~ ( sK1_P @ sK5_SY39 ) )
| ~ ( sK5_SY39 @ sK4_SY36 ) )
| ~ ! [SX0: a > $o] :
( ~ ( SX0 @ sK4_SY36 )
| ~ ( sK1_P @ SX0 )
| ~ ( SX0 @ sK3_SY25 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(76,plain,
! [SV7: a > $o] :
( ( ( ~ ( sK1_P @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_Xz @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(77,plain,
! [SV8: a] :
( ( ~ ! [SY55: a > $o] :
( ~ ( SY55 @ SV8 )
| ~ ( sK1_P @ SY55 )
| ( SY55
= ( sK12_SY21 @ SV8 ) ) )
| ~ ~ ( ~ ( sK12_SY21 @ SV8 @ SV8 )
| ~ ( sK1_P @ ( sK12_SY21 @ SV8 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(78,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK5_SY39 @ sK3_SY25 )
| ~ ( sK1_P @ sK5_SY39 ) )
| ~ ( sK5_SY39 @ sK4_SY36 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(79,plain,
( ( ~ ! [SX0: a > $o] :
( ~ ( SX0 @ sK4_SY36 )
| ~ ( sK1_P @ SX0 )
| ~ ( SX0 @ sK3_SY25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(80,plain,
! [SV7: a > $o] :
( ( ( sK1_P @ SV7 )
= $false )
| ( ( SV7 @ ( sK11_Xz @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(81,plain,
! [SV8: a] :
( ( ~ ! [SY55: a > $o] :
( ~ ( SY55 @ SV8 )
| ~ ( sK1_P @ SY55 )
| ( SY55
= ( sK12_SY21 @ SV8 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(82,plain,
! [SV8: a] :
( ( ~ ~ ( ~ ( sK12_SY21 @ SV8 @ SV8 )
| ~ ( sK1_P @ ( sK12_SY21 @ SV8 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(83,plain,
( ( ~ ( ~ ~ ( ~ ( sK5_SY39 @ sK3_SY25 )
| ~ ( sK1_P @ sK5_SY39 ) )
| ~ ( sK5_SY39 @ sK4_SY36 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(84,plain,
( ( ! [SX0: a > $o] :
( ~ ( SX0 @ sK4_SY36 )
| ~ ( sK1_P @ SX0 )
| ~ ( SX0 @ sK3_SY25 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(85,plain,
! [SV8: a] :
( ( ! [SY55: a > $o] :
( ~ ( SY55 @ SV8 )
| ~ ( sK1_P @ SY55 )
| ( SY55
= ( sK12_SY21 @ SV8 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(86,plain,
! [SV8: a] :
( ( ~ ( ~ ( sK12_SY21 @ SV8 @ SV8 )
| ~ ( sK1_P @ ( sK12_SY21 @ SV8 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(87,plain,
( ( ~ ~ ( ~ ( sK5_SY39 @ sK3_SY25 )
| ~ ( sK1_P @ sK5_SY39 ) )
| ~ ( sK5_SY39 @ sK4_SY36 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(88,plain,
! [SV9: a > $o] :
( ( ~ ( SV9 @ sK4_SY36 )
| ~ ( sK1_P @ SV9 )
| ~ ( SV9 @ sK3_SY25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(89,plain,
! [SV8: a,SV10: a > $o] :
( ( ~ ( SV10 @ SV8 )
| ~ ( sK1_P @ SV10 )
| ( SV10
= ( sK12_SY21 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(90,plain,
! [SV8: a] :
( ( ~ ( sK12_SY21 @ SV8 @ SV8 )
| ~ ( sK1_P @ ( sK12_SY21 @ SV8 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(91,plain,
( ( ~ ~ ( ~ ( sK5_SY39 @ sK3_SY25 )
| ~ ( sK1_P @ sK5_SY39 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(92,plain,
( ( ~ ( sK5_SY39 @ sK4_SY36 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(93,plain,
! [SV9: a > $o] :
( ( ( ~ ( SV9 @ sK4_SY36 )
| ~ ( sK1_P @ SV9 ) )
= $true )
| ( ( ~ ( SV9 @ sK3_SY25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(94,plain,
! [SV8: a,SV10: a > $o] :
( ( ( ~ ( SV10 @ SV8 )
| ~ ( sK1_P @ SV10 ) )
= $true )
| ( ( SV10
= ( sK12_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(95,plain,
! [SV8: a] :
( ( ~ ( sK12_SY21 @ SV8 @ SV8 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(96,plain,
! [SV8: a] :
( ( ~ ( sK1_P @ ( sK12_SY21 @ SV8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(97,plain,
( ( ~ ( ~ ( sK5_SY39 @ sK3_SY25 )
| ~ ( sK1_P @ sK5_SY39 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(98,plain,
( ( sK5_SY39 @ sK4_SY36 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(99,plain,
! [SV9: a > $o] :
( ( ( ~ ( SV9 @ sK4_SY36 ) )
= $true )
| ( ( ~ ( sK1_P @ SV9 ) )
= $true )
| ( ( ~ ( SV9 @ sK3_SY25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(100,plain,
! [SV8: a,SV10: a > $o] :
( ( ( ~ ( SV10 @ SV8 ) )
= $true )
| ( ( ~ ( sK1_P @ SV10 ) )
= $true )
| ( ( SV10
= ( sK12_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(101,plain,
! [SV8: a] :
( ( sK12_SY21 @ SV8 @ SV8 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(102,plain,
! [SV8: a] :
( ( sK1_P @ ( sK12_SY21 @ SV8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(103,plain,
( ( ~ ( sK5_SY39 @ sK3_SY25 )
| ~ ( sK1_P @ sK5_SY39 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(104,plain,
! [SV9: a > $o] :
( ( ( SV9 @ sK4_SY36 )
= $false )
| ( ( ~ ( sK1_P @ SV9 ) )
= $true )
| ( ( ~ ( SV9 @ sK3_SY25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(105,plain,
! [SV8: a,SV10: a > $o] :
( ( ( SV10 @ SV8 )
= $false )
| ( ( ~ ( sK1_P @ SV10 ) )
= $true )
| ( ( SV10
= ( sK12_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(106,plain,
( ( ~ ( sK5_SY39 @ sK3_SY25 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(107,plain,
( ( ~ ( sK1_P @ sK5_SY39 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(108,plain,
! [SV9: a > $o] :
( ( ( sK1_P @ SV9 )
= $false )
| ( ( SV9 @ sK4_SY36 )
= $false )
| ( ( ~ ( SV9 @ sK3_SY25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(109,plain,
! [SV8: a,SV10: a > $o] :
( ( ( sK1_P @ SV10 )
= $false )
| ( ( SV10 @ SV8 )
= $false )
| ( ( SV10
= ( sK12_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(110,plain,
( ( sK5_SY39 @ sK3_SY25 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(111,plain,
( ( sK1_P @ sK5_SY39 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(112,plain,
! [SV9: a > $o] :
( ( ( SV9 @ sK3_SY25 )
= $false )
| ( ( SV9 @ sK4_SY36 )
= $false )
| ( ( sK1_P @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(113,plain,
! [SV8: a,SV10: a > $o] :
( ( ( ! [SV11: a] :
( ( SV10 @ SV11 )
= ( sK12_SY21 @ SV8 @ SV11 ) ) )
= $true )
| ( ( SV10 @ SV8 )
= $false )
| ( ( sK1_P @ SV10 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[109]) ).
thf(114,plain,
! [SV8: a,SV10: a > $o] :
( ( ( SV10
= ( sK12_SY21 @ SV8 ) )
= $true )
| ( ( SV10 @ SV8 )
= $false )
| ( ( sK1_P @ SV10 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[109]) ).
thf(115,plain,
! [SV8: a,SV12: a,SV10: a > $o] :
( ( ( ( SV10 @ SV12 )
= ( sK12_SY21 @ SV8 @ SV12 ) )
= $true )
| ( ( SV10 @ SV8 )
= $false )
| ( ( sK1_P @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(116,plain,
! [SV8: a,SV12: a,SV10: a > $o] :
( ( ( ~ ( ( SV10 @ SV12 )
| ( sK12_SY21 @ SV8 @ SV12 ) )
| ~ ( ~ ( SV10 @ SV12 )
| ~ ( sK12_SY21 @ SV8 @ SV12 ) ) )
= $true )
| ( ( SV10 @ SV8 )
= $false )
| ( ( sK1_P @ SV10 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[115]) ).
thf(117,plain,
! [SV8: a,SV12: a,SV10: a > $o] :
( ( ( ( SV10 @ SV12 )
= ( sK12_SY21 @ SV8 @ SV12 ) )
= $true )
| ( ( SV10 @ SV8 )
= $false )
| ( ( sK1_P @ SV10 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[115]) ).
thf(118,plain,
! [SV8: a,SV12: a,SV10: a > $o] :
( ( ( ~ ( ( SV10 @ SV12 )
| ( sK12_SY21 @ SV8 @ SV12 ) ) )
= $true )
| ( ( ~ ( ~ ( SV10 @ SV12 )
| ~ ( sK12_SY21 @ SV8 @ SV12 ) ) )
= $true )
| ( ( SV10 @ SV8 )
= $false )
| ( ( sK1_P @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(119,plain,
! [SV8: a,SV12: a,SV10: a > $o] :
( ( ( ( SV10 @ SV12 )
| ( sK12_SY21 @ SV8 @ SV12 ) )
= $false )
| ( ( ~ ( ~ ( SV10 @ SV12 )
| ~ ( sK12_SY21 @ SV8 @ SV12 ) ) )
= $true )
| ( ( SV10 @ SV8 )
= $false )
| ( ( sK1_P @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(120,plain,
! [SV8: a,SV12: a,SV10: a > $o] :
( ( ( SV10 @ SV12 )
= $false )
| ( ( ~ ( ~ ( SV10 @ SV12 )
| ~ ( sK12_SY21 @ SV8 @ SV12 ) ) )
= $true )
| ( ( SV10 @ SV8 )
= $false )
| ( ( sK1_P @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(121,plain,
! [SV10: a > $o,SV12: a,SV8: a] :
( ( ( sK12_SY21 @ SV8 @ SV12 )
= $false )
| ( ( ~ ( ~ ( SV10 @ SV12 )
| ~ ( sK12_SY21 @ SV8 @ SV12 ) ) )
= $true )
| ( ( SV10 @ SV8 )
= $false )
| ( ( sK1_P @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(122,plain,
! [SV8: a,SV12: a,SV10: a > $o] :
( ( ( ~ ( SV10 @ SV12 )
| ~ ( sK12_SY21 @ SV8 @ SV12 ) )
= $false )
| ( ( SV10 @ SV12 )
= $false )
| ( ( SV10 @ SV8 )
= $false )
| ( ( sK1_P @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(123,plain,
! [SV8: a,SV12: a,SV10: a > $o] :
( ( ( ~ ( SV10 @ SV12 )
| ~ ( sK12_SY21 @ SV8 @ SV12 ) )
= $false )
| ( ( sK12_SY21 @ SV8 @ SV12 )
= $false )
| ( ( SV10 @ SV8 )
= $false )
| ( ( sK1_P @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(124,plain,
! [SV8: a,SV12: a,SV10: a > $o] :
( ( ( ~ ( SV10 @ SV12 ) )
= $false )
| ( ( SV10 @ SV12 )
= $false )
| ( ( SV10 @ SV8 )
= $false )
| ( ( sK1_P @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(125,plain,
! [SV10: a > $o,SV12: a,SV8: a] :
( ( ( ~ ( sK12_SY21 @ SV8 @ SV12 ) )
= $false )
| ( ( SV10 @ SV12 )
= $false )
| ( ( SV10 @ SV8 )
= $false )
| ( ( sK1_P @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(126,plain,
! [SV8: a,SV12: a,SV10: a > $o] :
( ( ( ~ ( SV10 @ SV12 ) )
= $false )
| ( ( sK12_SY21 @ SV8 @ SV12 )
= $false )
| ( ( SV10 @ SV8 )
= $false )
| ( ( sK1_P @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(127,plain,
! [SV10: a > $o,SV12: a,SV8: a] :
( ( ( ~ ( sK12_SY21 @ SV8 @ SV12 ) )
= $false )
| ( ( sK12_SY21 @ SV8 @ SV12 )
= $false )
| ( ( SV10 @ SV8 )
= $false )
| ( ( sK1_P @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(128,plain,
! [SV8: a,SV12: a,SV10: a > $o] :
( ( ( SV10 @ SV12 )
= $true )
| ( ( SV10 @ SV12 )
= $false )
| ( ( SV10 @ SV8 )
= $false )
| ( ( sK1_P @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(129,plain,
! [SV10: a > $o,SV12: a,SV8: a] :
( ( ( sK12_SY21 @ SV8 @ SV12 )
= $true )
| ( ( SV10 @ SV12 )
= $false )
| ( ( SV10 @ SV8 )
= $false )
| ( ( sK1_P @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(130,plain,
! [SV8: a,SV12: a,SV10: a > $o] :
( ( ( SV10 @ SV12 )
= $true )
| ( ( sK12_SY21 @ SV8 @ SV12 )
= $false )
| ( ( SV10 @ SV8 )
= $false )
| ( ( sK1_P @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(131,plain,
! [SV10: a > $o,SV12: a,SV8: a] :
( ( ( sK12_SY21 @ SV8 @ SV12 )
= $true )
| ( ( sK12_SY21 @ SV8 @ SV12 )
= $false )
| ( ( SV10 @ SV8 )
= $false )
| ( ( sK1_P @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(132,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[80,131,130,129,128,117,114,112,111,110,102,101,98]) ).
thf(133,plain,
( ( ! [SY20: a] :
( ! [SY53: a > $o] :
( ~ ( SY53 @ SY20 )
| ~ ( sK1_P @ SY53 )
| ( SY53
= ( sK12_SY21 @ SY20 ) ) )
& ( sK12_SY21 @ SY20 @ SY20 )
& ( sK1_P @ ( sK12_SY21 @ SY20 ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(134,plain,
( ( ! [SY18: a > $o] :
( ~ ( sK1_P @ SY18 )
| ( SY18 @ ( sK11_Xz @ SY18 ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(135,plain,
( ( ( sK10_SY47 @ sK6_SY29 )
& ( sK1_P @ sK10_SY47 )
& ( sK10_SY47 @ sK7_SY41 )
& ( sK9_SY51 @ sK7_SY41 )
& ( sK1_P @ sK9_SY51 )
& ( sK9_SY51 @ sK8_SY46 )
& ! [SY52: a > $o] :
( ~ ( SY52 @ sK6_SY29 )
| ~ ( sK1_P @ SY52 )
| ~ ( SY52 @ sK8_SY46 ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(136,plain,
( ( ! [SX0: a] :
~ ( ~ ! [SX1: a > $o] :
( ~ ( SX1 @ SX0 )
| ~ ( sK1_P @ SX1 )
| ( SX1
= ( sK12_SY21 @ SX0 ) ) )
| ~ ~ ( ~ ( sK12_SY21 @ SX0 @ SX0 )
| ~ ( sK1_P @ ( sK12_SY21 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(137,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK10_SY47 @ sK6_SY29 )
| ~ ( sK1_P @ sK10_SY47 ) )
| ~ ( sK10_SY47 @ sK7_SY41 ) )
| ~ ~ ( ~ ~ ( ~ ( sK9_SY51 @ sK7_SY41 )
| ~ ( sK1_P @ sK9_SY51 ) )
| ~ ( sK9_SY51 @ sK8_SY46 ) ) )
| ~ ! [SX0: a > $o] :
( ~ ( SX0 @ sK6_SY29 )
| ~ ( sK1_P @ SX0 )
| ~ ( SX0 @ sK8_SY46 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(138,plain,
! [SV13: a > $o] :
( ( ~ ( sK1_P @ SV13 )
| ( SV13 @ ( sK11_Xz @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(139,plain,
! [SV14: a] :
( ( ~ ( ~ ! [SY56: a > $o] :
( ~ ( SY56 @ SV14 )
| ~ ( sK1_P @ SY56 )
| ( SY56
= ( sK12_SY21 @ SV14 ) ) )
| ~ ~ ( ~ ( sK12_SY21 @ SV14 @ SV14 )
| ~ ( sK1_P @ ( sK12_SY21 @ SV14 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(140,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK10_SY47 @ sK6_SY29 )
| ~ ( sK1_P @ sK10_SY47 ) )
| ~ ( sK10_SY47 @ sK7_SY41 ) )
| ~ ~ ( ~ ~ ( ~ ( sK9_SY51 @ sK7_SY41 )
| ~ ( sK1_P @ sK9_SY51 ) )
| ~ ( sK9_SY51 @ sK8_SY46 ) ) )
| ~ ! [SX0: a > $o] :
( ~ ( SX0 @ sK6_SY29 )
| ~ ( sK1_P @ SX0 )
| ~ ( SX0 @ sK8_SY46 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(141,plain,
! [SV13: a > $o] :
( ( ( ~ ( sK1_P @ SV13 ) )
= $true )
| ( ( SV13 @ ( sK11_Xz @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(142,plain,
! [SV14: a] :
( ( ~ ! [SY56: a > $o] :
( ~ ( SY56 @ SV14 )
| ~ ( sK1_P @ SY56 )
| ( SY56
= ( sK12_SY21 @ SV14 ) ) )
| ~ ~ ( ~ ( sK12_SY21 @ SV14 @ SV14 )
| ~ ( sK1_P @ ( sK12_SY21 @ SV14 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(143,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK10_SY47 @ sK6_SY29 )
| ~ ( sK1_P @ sK10_SY47 ) )
| ~ ( sK10_SY47 @ sK7_SY41 ) )
| ~ ~ ( ~ ~ ( ~ ( sK9_SY51 @ sK7_SY41 )
| ~ ( sK1_P @ sK9_SY51 ) )
| ~ ( sK9_SY51 @ sK8_SY46 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(144,plain,
( ( ~ ! [SX0: a > $o] :
( ~ ( SX0 @ sK6_SY29 )
| ~ ( sK1_P @ SX0 )
| ~ ( SX0 @ sK8_SY46 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(145,plain,
! [SV13: a > $o] :
( ( ( sK1_P @ SV13 )
= $false )
| ( ( SV13 @ ( sK11_Xz @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(146,plain,
! [SV14: a] :
( ( ~ ! [SY56: a > $o] :
( ~ ( SY56 @ SV14 )
| ~ ( sK1_P @ SY56 )
| ( SY56
= ( sK12_SY21 @ SV14 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(147,plain,
! [SV14: a] :
( ( ~ ~ ( ~ ( sK12_SY21 @ SV14 @ SV14 )
| ~ ( sK1_P @ ( sK12_SY21 @ SV14 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(148,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK10_SY47 @ sK6_SY29 )
| ~ ( sK1_P @ sK10_SY47 ) )
| ~ ( sK10_SY47 @ sK7_SY41 ) )
| ~ ~ ( ~ ~ ( ~ ( sK9_SY51 @ sK7_SY41 )
| ~ ( sK1_P @ sK9_SY51 ) )
| ~ ( sK9_SY51 @ sK8_SY46 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(149,plain,
( ( ! [SX0: a > $o] :
( ~ ( SX0 @ sK6_SY29 )
| ~ ( sK1_P @ SX0 )
| ~ ( SX0 @ sK8_SY46 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(150,plain,
! [SV14: a] :
( ( ! [SY56: a > $o] :
( ~ ( SY56 @ SV14 )
| ~ ( sK1_P @ SY56 )
| ( SY56
= ( sK12_SY21 @ SV14 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(151,plain,
! [SV14: a] :
( ( ~ ( ~ ( sK12_SY21 @ SV14 @ SV14 )
| ~ ( sK1_P @ ( sK12_SY21 @ SV14 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(152,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK10_SY47 @ sK6_SY29 )
| ~ ( sK1_P @ sK10_SY47 ) )
| ~ ( sK10_SY47 @ sK7_SY41 ) )
| ~ ~ ( ~ ~ ( ~ ( sK9_SY51 @ sK7_SY41 )
| ~ ( sK1_P @ sK9_SY51 ) )
| ~ ( sK9_SY51 @ sK8_SY46 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(153,plain,
! [SV15: a > $o] :
( ( ~ ( SV15 @ sK6_SY29 )
| ~ ( sK1_P @ SV15 )
| ~ ( SV15 @ sK8_SY46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(154,plain,
! [SV14: a,SV16: a > $o] :
( ( ~ ( SV16 @ SV14 )
| ~ ( sK1_P @ SV16 )
| ( SV16
= ( sK12_SY21 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(155,plain,
! [SV14: a] :
( ( ~ ( sK12_SY21 @ SV14 @ SV14 )
| ~ ( sK1_P @ ( sK12_SY21 @ SV14 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(156,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK10_SY47 @ sK6_SY29 )
| ~ ( sK1_P @ sK10_SY47 ) )
| ~ ( sK10_SY47 @ sK7_SY41 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(157,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK9_SY51 @ sK7_SY41 )
| ~ ( sK1_P @ sK9_SY51 ) )
| ~ ( sK9_SY51 @ sK8_SY46 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(158,plain,
! [SV15: a > $o] :
( ( ( ~ ( SV15 @ sK6_SY29 )
| ~ ( sK1_P @ SV15 ) )
= $true )
| ( ( ~ ( SV15 @ sK8_SY46 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(159,plain,
! [SV14: a,SV16: a > $o] :
( ( ( ~ ( SV16 @ SV14 )
| ~ ( sK1_P @ SV16 ) )
= $true )
| ( ( SV16
= ( sK12_SY21 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(160,plain,
! [SV14: a] :
( ( ~ ( sK12_SY21 @ SV14 @ SV14 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(161,plain,
! [SV14: a] :
( ( ~ ( sK1_P @ ( sK12_SY21 @ SV14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(162,plain,
( ( ~ ( ~ ~ ( ~ ( sK10_SY47 @ sK6_SY29 )
| ~ ( sK1_P @ sK10_SY47 ) )
| ~ ( sK10_SY47 @ sK7_SY41 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(163,plain,
( ( ~ ( ~ ~ ( ~ ( sK9_SY51 @ sK7_SY41 )
| ~ ( sK1_P @ sK9_SY51 ) )
| ~ ( sK9_SY51 @ sK8_SY46 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(164,plain,
! [SV15: a > $o] :
( ( ( ~ ( SV15 @ sK6_SY29 ) )
= $true )
| ( ( ~ ( sK1_P @ SV15 ) )
= $true )
| ( ( ~ ( SV15 @ sK8_SY46 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(165,plain,
! [SV14: a,SV16: a > $o] :
( ( ( ~ ( SV16 @ SV14 ) )
= $true )
| ( ( ~ ( sK1_P @ SV16 ) )
= $true )
| ( ( SV16
= ( sK12_SY21 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(166,plain,
! [SV14: a] :
( ( sK12_SY21 @ SV14 @ SV14 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(167,plain,
! [SV14: a] :
( ( sK1_P @ ( sK12_SY21 @ SV14 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(168,plain,
( ( ~ ~ ( ~ ( sK10_SY47 @ sK6_SY29 )
| ~ ( sK1_P @ sK10_SY47 ) )
| ~ ( sK10_SY47 @ sK7_SY41 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(169,plain,
( ( ~ ~ ( ~ ( sK9_SY51 @ sK7_SY41 )
| ~ ( sK1_P @ sK9_SY51 ) )
| ~ ( sK9_SY51 @ sK8_SY46 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(170,plain,
! [SV15: a > $o] :
( ( ( SV15 @ sK6_SY29 )
= $false )
| ( ( ~ ( sK1_P @ SV15 ) )
= $true )
| ( ( ~ ( SV15 @ sK8_SY46 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(171,plain,
! [SV14: a,SV16: a > $o] :
( ( ( SV16 @ SV14 )
= $false )
| ( ( ~ ( sK1_P @ SV16 ) )
= $true )
| ( ( SV16
= ( sK12_SY21 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(172,plain,
( ( ~ ~ ( ~ ( sK10_SY47 @ sK6_SY29 )
| ~ ( sK1_P @ sK10_SY47 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(173,plain,
( ( ~ ( sK10_SY47 @ sK7_SY41 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(174,plain,
( ( ~ ~ ( ~ ( sK9_SY51 @ sK7_SY41 )
| ~ ( sK1_P @ sK9_SY51 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(175,plain,
( ( ~ ( sK9_SY51 @ sK8_SY46 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(176,plain,
! [SV15: a > $o] :
( ( ( sK1_P @ SV15 )
= $false )
| ( ( SV15 @ sK6_SY29 )
= $false )
| ( ( ~ ( SV15 @ sK8_SY46 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(177,plain,
! [SV14: a,SV16: a > $o] :
( ( ( sK1_P @ SV16 )
= $false )
| ( ( SV16 @ SV14 )
= $false )
| ( ( SV16
= ( sK12_SY21 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(178,plain,
( ( ~ ( ~ ( sK10_SY47 @ sK6_SY29 )
| ~ ( sK1_P @ sK10_SY47 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(179,plain,
( ( sK10_SY47 @ sK7_SY41 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(180,plain,
( ( ~ ( ~ ( sK9_SY51 @ sK7_SY41 )
| ~ ( sK1_P @ sK9_SY51 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(181,plain,
( ( sK9_SY51 @ sK8_SY46 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(182,plain,
! [SV15: a > $o] :
( ( ( SV15 @ sK8_SY46 )
= $false )
| ( ( SV15 @ sK6_SY29 )
= $false )
| ( ( sK1_P @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(183,plain,
! [SV14: a,SV16: a > $o] :
( ( ( ! [SV17: a] :
( ( SV16 @ SV17 )
= ( sK12_SY21 @ SV14 @ SV17 ) ) )
= $true )
| ( ( SV16 @ SV14 )
= $false )
| ( ( sK1_P @ SV16 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[177]) ).
thf(184,plain,
! [SV14: a,SV16: a > $o] :
( ( ( SV16
= ( sK12_SY21 @ SV14 ) )
= $true )
| ( ( SV16 @ SV14 )
= $false )
| ( ( sK1_P @ SV16 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[177]) ).
thf(185,plain,
( ( ~ ( sK10_SY47 @ sK6_SY29 )
| ~ ( sK1_P @ sK10_SY47 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(186,plain,
( ( ~ ( sK9_SY51 @ sK7_SY41 )
| ~ ( sK1_P @ sK9_SY51 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(187,plain,
! [SV14: a,SV18: a,SV16: a > $o] :
( ( ( ( SV16 @ SV18 )
= ( sK12_SY21 @ SV14 @ SV18 ) )
= $true )
| ( ( SV16 @ SV14 )
= $false )
| ( ( sK1_P @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(188,plain,
( ( ~ ( sK10_SY47 @ sK6_SY29 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(189,plain,
( ( ~ ( sK1_P @ sK10_SY47 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(190,plain,
( ( ~ ( sK9_SY51 @ sK7_SY41 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(191,plain,
( ( ~ ( sK1_P @ sK9_SY51 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(192,plain,
! [SV14: a,SV18: a,SV16: a > $o] :
( ( ( ~ ( ( SV16 @ SV18 )
| ( sK12_SY21 @ SV14 @ SV18 ) )
| ~ ( ~ ( SV16 @ SV18 )
| ~ ( sK12_SY21 @ SV14 @ SV18 ) ) )
= $true )
| ( ( SV16 @ SV14 )
= $false )
| ( ( sK1_P @ SV16 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[187]) ).
thf(193,plain,
! [SV14: a,SV18: a,SV16: a > $o] :
( ( ( ( SV16 @ SV18 )
= ( sK12_SY21 @ SV14 @ SV18 ) )
= $true )
| ( ( SV16 @ SV14 )
= $false )
| ( ( sK1_P @ SV16 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[187]) ).
thf(194,plain,
( ( sK10_SY47 @ sK6_SY29 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(195,plain,
( ( sK1_P @ sK10_SY47 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(196,plain,
( ( sK9_SY51 @ sK7_SY41 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(197,plain,
( ( sK1_P @ sK9_SY51 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(198,plain,
! [SV14: a,SV18: a,SV16: a > $o] :
( ( ( ~ ( ( SV16 @ SV18 )
| ( sK12_SY21 @ SV14 @ SV18 ) ) )
= $true )
| ( ( ~ ( ~ ( SV16 @ SV18 )
| ~ ( sK12_SY21 @ SV14 @ SV18 ) ) )
= $true )
| ( ( SV16 @ SV14 )
= $false )
| ( ( sK1_P @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(199,plain,
! [SV14: a,SV18: a,SV16: a > $o] :
( ( ( ( SV16 @ SV18 )
| ( sK12_SY21 @ SV14 @ SV18 ) )
= $false )
| ( ( ~ ( ~ ( SV16 @ SV18 )
| ~ ( sK12_SY21 @ SV14 @ SV18 ) ) )
= $true )
| ( ( SV16 @ SV14 )
= $false )
| ( ( sK1_P @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(200,plain,
! [SV14: a,SV18: a,SV16: a > $o] :
( ( ( SV16 @ SV18 )
= $false )
| ( ( ~ ( ~ ( SV16 @ SV18 )
| ~ ( sK12_SY21 @ SV14 @ SV18 ) ) )
= $true )
| ( ( SV16 @ SV14 )
= $false )
| ( ( sK1_P @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(201,plain,
! [SV16: a > $o,SV18: a,SV14: a] :
( ( ( sK12_SY21 @ SV14 @ SV18 )
= $false )
| ( ( ~ ( ~ ( SV16 @ SV18 )
| ~ ( sK12_SY21 @ SV14 @ SV18 ) ) )
= $true )
| ( ( SV16 @ SV14 )
= $false )
| ( ( sK1_P @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(202,plain,
! [SV14: a,SV18: a,SV16: a > $o] :
( ( ( ~ ( SV16 @ SV18 )
| ~ ( sK12_SY21 @ SV14 @ SV18 ) )
= $false )
| ( ( SV16 @ SV18 )
= $false )
| ( ( SV16 @ SV14 )
= $false )
| ( ( sK1_P @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(203,plain,
! [SV14: a,SV18: a,SV16: a > $o] :
( ( ( ~ ( SV16 @ SV18 )
| ~ ( sK12_SY21 @ SV14 @ SV18 ) )
= $false )
| ( ( sK12_SY21 @ SV14 @ SV18 )
= $false )
| ( ( SV16 @ SV14 )
= $false )
| ( ( sK1_P @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(204,plain,
! [SV14: a,SV18: a,SV16: a > $o] :
( ( ( ~ ( SV16 @ SV18 ) )
= $false )
| ( ( SV16 @ SV18 )
= $false )
| ( ( SV16 @ SV14 )
= $false )
| ( ( sK1_P @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(205,plain,
! [SV16: a > $o,SV18: a,SV14: a] :
( ( ( ~ ( sK12_SY21 @ SV14 @ SV18 ) )
= $false )
| ( ( SV16 @ SV18 )
= $false )
| ( ( SV16 @ SV14 )
= $false )
| ( ( sK1_P @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(206,plain,
! [SV14: a,SV18: a,SV16: a > $o] :
( ( ( ~ ( SV16 @ SV18 ) )
= $false )
| ( ( sK12_SY21 @ SV14 @ SV18 )
= $false )
| ( ( SV16 @ SV14 )
= $false )
| ( ( sK1_P @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(207,plain,
! [SV16: a > $o,SV18: a,SV14: a] :
( ( ( ~ ( sK12_SY21 @ SV14 @ SV18 ) )
= $false )
| ( ( sK12_SY21 @ SV14 @ SV18 )
= $false )
| ( ( SV16 @ SV14 )
= $false )
| ( ( sK1_P @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(208,plain,
! [SV14: a,SV18: a,SV16: a > $o] :
( ( ( SV16 @ SV18 )
= $true )
| ( ( SV16 @ SV18 )
= $false )
| ( ( SV16 @ SV14 )
= $false )
| ( ( sK1_P @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(209,plain,
! [SV16: a > $o,SV18: a,SV14: a] :
( ( ( sK12_SY21 @ SV14 @ SV18 )
= $true )
| ( ( SV16 @ SV18 )
= $false )
| ( ( SV16 @ SV14 )
= $false )
| ( ( sK1_P @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(210,plain,
! [SV14: a,SV18: a,SV16: a > $o] :
( ( ( SV16 @ SV18 )
= $true )
| ( ( sK12_SY21 @ SV14 @ SV18 )
= $false )
| ( ( SV16 @ SV14 )
= $false )
| ( ( sK1_P @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(211,plain,
! [SV16: a > $o,SV18: a,SV14: a] :
( ( ( sK12_SY21 @ SV14 @ SV18 )
= $true )
| ( ( sK12_SY21 @ SV14 @ SV18 )
= $false )
| ( ( SV16 @ SV14 )
= $false )
| ( ( sK1_P @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(212,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[145,211,210,209,208,197,196,195,194,193,184,182,181,179,167,166]) ).
thf(213,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[212,67,132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV008^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 28 04:07:00 EDT 2022
% 0.12/0.34 % 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
% 0.19/0.36 (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)......
% 0.19/0.48
% 0.19/0.48 ********************************
% 0.19/0.48 * All subproblems solved! *
% 0.19/0.48 ********************************
% 0.19/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:212,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.50
% 0.19/0.50 %**** Beginning of derivation protocol ****
% 0.19/0.50 % SZS output start CNFRefutation
% See solution above
% 0.19/0.50
% 0.19/0.50 %**** End of derivation protocol ****
% 0.19/0.50 %**** no. of clauses in derivation: 213 ****
% 0.19/0.50 %**** clause counter: 212 ****
% 0.19/0.50
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:212,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------