%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEV046^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:49:26 AM UTC 2026
% Result : Theorem 0.47s 0.33s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 1
% Syntax : Number of formulae : 197 ( 87 unt; 0 typ; 0 def)
% Number of atoms : 1433 ( 393 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 2964 ( 378 ~; 364 |; 54 &;2052 @)
% ( 0 <=>; 116 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 77 ( 77 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 810 ( 0 ^; 810 !; 0 ?; 810 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_sK10_SY141,type,
sK10_SY141: a ).
thf(tp_sK11_SY143,type,
sK11_SY143: a ).
thf(tp_sK1_Xp,type,
sK1_Xp: a > a > $o ).
thf(tp_sK2_SY30,type,
sK2_SY30: a > b > b > $o ).
thf(tp_sK3_SX0,type,
sK3_SX0: a > b ).
thf(tp_sK4_SY97,type,
sK4_SY97: a > b ).
thf(tp_sK5_SY104,type,
sK5_SY104: a ).
thf(tp_sK6_SY106,type,
sK6_SY106: a ).
thf(tp_sK7_SX0,type,
sK7_SX0: a > b ).
thf(tp_sK8_SY121,type,
sK8_SY121: a > b ).
thf(tp_sK9_SY130,type,
sK9_SY130: a > b ).
thf(1,conjecture,
! [Xp: a > a > $o,Xp2: a > b > b > $o] :
( ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) )
& ! [Xx: a] :
( ( Xp @ Xx @ Xx )
=> ( ! [Xx0: b,Xy: b] :
( ( Xp2 @ Xx @ Xx0 @ Xy )
=> ( Xp2 @ Xx @ Xy @ Xx0 ) )
& ! [Xx0: b,Xy: b,Xz: b] :
( ( ( Xp2 @ Xx @ Xx0 @ Xy )
& ( Xp2 @ Xx @ Xy @ Xz ) )
=> ( Xp2 @ Xx @ Xx0 @ Xz ) ) ) )
& ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( ( Xp2 @ Xx )
= ( Xp2 @ Xy ) ) ) )
=> ( ! [Xx: a > b,Xy: a > b] :
( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xy0 ) ) ) )
& ! [Xx: a > b,Xy: a > b,Xz: a > b] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
& ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xy0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM507_pme) ).
thf(2,negated_conjecture,
( ( ! [Xp: a > a > $o,Xp2: a > b > b > $o] :
( ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) )
& ! [Xx: a] :
( ( Xp @ Xx @ Xx )
=> ( ! [Xx0: b,Xy: b] :
( ( Xp2 @ Xx @ Xx0 @ Xy )
=> ( Xp2 @ Xx @ Xy @ Xx0 ) )
& ! [Xx0: b,Xy: b,Xz: b] :
( ( ( Xp2 @ Xx @ Xx0 @ Xy )
& ( Xp2 @ Xx @ Xy @ Xz ) )
=> ( Xp2 @ Xx @ Xx0 @ Xz ) ) ) )
& ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( ( Xp2 @ Xx )
= ( Xp2 @ Xy ) ) ) )
=> ( ! [Xx: a > b,Xy: a > b] :
( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xy0 ) ) ) )
& ! [Xx: a > b,Xy: a > b,Xz: a > b] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
& ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xy0 ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xp: a > a > $o,Xp2: a > b > b > $o] :
( ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) )
& ! [Xx: a] :
( ( Xp @ Xx @ Xx )
=> ( ! [Xx0: b,Xy: b] :
( ( Xp2 @ Xx @ Xx0 @ Xy )
=> ( Xp2 @ Xx @ Xy @ Xx0 ) )
& ! [Xx0: b,Xy: b,Xz: b] :
( ( ( Xp2 @ Xx @ Xx0 @ Xy )
& ( Xp2 @ Xx @ Xy @ Xz ) )
=> ( Xp2 @ Xx @ Xx0 @ Xz ) ) ) )
& ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( ( Xp2 @ Xx )
= ( Xp2 @ Xy ) ) ) )
=> ( ! [Xx: a > b,Xy: a > b] :
( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xy0 ) ) ) )
& ! [Xx: a > b,Xy: a > b,Xz: a > b] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
& ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xy0 ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY30: a > b > b > $o] :
( ( ! [SY31: a,SY32: a] :
( ( sK1_Xp @ SY31 @ SY32 )
=> ( sK1_Xp @ SY32 @ SY31 ) )
& ! [SY33: a,SY34: a,SY35: a] :
( ( ( sK1_Xp @ SY33 @ SY34 )
& ( sK1_Xp @ SY34 @ SY35 ) )
=> ( sK1_Xp @ SY33 @ SY35 ) )
& ! [SY36: a] :
( ( sK1_Xp @ SY36 @ SY36 )
=> ( ! [Xx0: b,Xy: b] :
( ( SY30 @ SY36 @ Xx0 @ Xy )
=> ( SY30 @ SY36 @ Xy @ Xx0 ) )
& ! [Xx0: b,Xy: b,Xz: b] :
( ( ( SY30 @ SY36 @ Xx0 @ Xy )
& ( SY30 @ SY36 @ Xy @ Xz ) )
=> ( SY30 @ SY36 @ Xx0 @ Xz ) ) ) )
& ! [SY42: a,SY43: a] :
( ( sK1_Xp @ SY42 @ SY43 )
=> ( ( SY30 @ SY42 )
= ( SY30 @ SY43 ) ) ) )
=> ( ! [SY44: a > b,SY45: a > b] :
( ! [SY46: a,SY47: a] :
( ( sK1_Xp @ SY46 @ SY47 )
=> ( SY30 @ SY46 @ ( SY44 @ SY46 ) @ ( SY45 @ SY47 ) ) )
=> ! [SY48: a,SY49: a] :
( ( sK1_Xp @ SY48 @ SY49 )
=> ( SY30 @ SY48 @ ( SY45 @ SY48 ) @ ( SY44 @ SY49 ) ) ) )
& ! [SY50: a > b,SY51: a > b,SY52: a > b] :
( ( ! [SY53: a,SY54: a] :
( ( sK1_Xp @ SY53 @ SY54 )
=> ( SY30 @ SY53 @ ( SY50 @ SY53 ) @ ( SY51 @ SY54 ) ) )
& ! [SY55: a,SY56: a] :
( ( sK1_Xp @ SY55 @ SY56 )
=> ( SY30 @ SY55 @ ( SY51 @ SY55 ) @ ( SY52 @ SY56 ) ) ) )
=> ! [SY57: a,SY58: a] :
( ( sK1_Xp @ SY57 @ SY58 )
=> ( SY30 @ SY57 @ ( SY50 @ SY57 ) @ ( SY52 @ SY58 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ( ! [SY31: a,SY32: a] :
( ( sK1_Xp @ SY31 @ SY32 )
=> ( sK1_Xp @ SY32 @ SY31 ) )
& ! [SY33: a,SY34: a,SY35: a] :
( ( ( sK1_Xp @ SY33 @ SY34 )
& ( sK1_Xp @ SY34 @ SY35 ) )
=> ( sK1_Xp @ SY33 @ SY35 ) )
& ! [SY64: a] :
( ( sK1_Xp @ SY64 @ SY64 )
=> ( ! [SY65: b,SY66: b] :
( ( sK2_SY30 @ SY64 @ SY65 @ SY66 )
=> ( sK2_SY30 @ SY64 @ SY66 @ SY65 ) )
& ! [SY67: b,SY68: b,SY69: b] :
( ( ( sK2_SY30 @ SY64 @ SY67 @ SY68 )
& ( sK2_SY30 @ SY64 @ SY68 @ SY69 ) )
=> ( sK2_SY30 @ SY64 @ SY67 @ SY69 ) ) ) )
& ! [SY70: a,SY71: a] :
( ( sK1_Xp @ SY70 @ SY71 )
=> ( ( sK2_SY30 @ SY70 )
= ( sK2_SY30 @ SY71 ) ) ) )
=> ( ! [SY72: a > b,SY73: a > b] :
( ! [SY74: a,SY75: a] :
( ( sK1_Xp @ SY74 @ SY75 )
=> ( sK2_SY30 @ SY74 @ ( SY72 @ SY74 ) @ ( SY73 @ SY75 ) ) )
=> ! [SY76: a,SY77: a] :
( ( sK1_Xp @ SY76 @ SY77 )
=> ( sK2_SY30 @ SY76 @ ( SY73 @ SY76 ) @ ( SY72 @ SY77 ) ) ) )
& ! [SY78: a > b,SY79: a > b,SY80: a > b] :
( ( ! [SY81: a,SY82: a] :
( ( sK1_Xp @ SY81 @ SY82 )
=> ( sK2_SY30 @ SY81 @ ( SY78 @ SY81 ) @ ( SY79 @ SY82 ) ) )
& ! [SY83: a,SY84: a] :
( ( sK1_Xp @ SY83 @ SY84 )
=> ( sK2_SY30 @ SY83 @ ( SY79 @ SY83 ) @ ( SY80 @ SY84 ) ) ) )
=> ! [SY85: a,SY86: a] :
( ( sK1_Xp @ SY85 @ SY86 )
=> ( sK2_SY30 @ SY85 @ ( SY78 @ SY85 ) @ ( SY80 @ SY86 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY31: a,SY32: a] :
( ( sK1_Xp @ SY31 @ SY32 )
=> ( sK1_Xp @ SY32 @ SY31 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY33: a,SY34: a,SY35: a] :
( ( ( sK1_Xp @ SY33 @ SY34 )
& ( sK1_Xp @ SY34 @ SY35 ) )
=> ( sK1_Xp @ SY33 @ SY35 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( ! [SY64: a] :
( ( sK1_Xp @ SY64 @ SY64 )
=> ( ! [SY65: b,SY66: b] :
( ( sK2_SY30 @ SY64 @ SY65 @ SY66 )
=> ( sK2_SY30 @ SY64 @ SY66 @ SY65 ) )
& ! [SY67: b,SY68: b,SY69: b] :
( ( ( sK2_SY30 @ SY64 @ SY67 @ SY68 )
& ( sK2_SY30 @ SY64 @ SY68 @ SY69 ) )
=> ( sK2_SY30 @ SY64 @ SY67 @ SY69 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(9,plain,
( ( ! [SY70: a,SY71: a] :
( ( sK1_Xp @ SY70 @ SY71 )
=> ( ( sK2_SY30 @ SY70 )
= ( sK2_SY30 @ SY71 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(10,plain,
( ( ! [SY72: a > b,SY73: a > b] :
( ! [SY74: a,SY75: a] :
( ( sK1_Xp @ SY74 @ SY75 )
=> ( sK2_SY30 @ SY74 @ ( SY72 @ SY74 ) @ ( SY73 @ SY75 ) ) )
=> ! [SY76: a,SY77: a] :
( ( sK1_Xp @ SY76 @ SY77 )
=> ( sK2_SY30 @ SY76 @ ( SY73 @ SY76 ) @ ( SY72 @ SY77 ) ) ) )
& ! [SY78: a > b,SY79: a > b,SY80: a > b] :
( ( ! [SY81: a,SY82: a] :
( ( sK1_Xp @ SY81 @ SY82 )
=> ( sK2_SY30 @ SY81 @ ( SY78 @ SY81 ) @ ( SY79 @ SY82 ) ) )
& ! [SY83: a,SY84: a] :
( ( sK1_Xp @ SY83 @ SY84 )
=> ( sK2_SY30 @ SY83 @ ( SY79 @ SY83 ) @ ( SY80 @ SY84 ) ) ) )
=> ! [SY85: a,SY86: a] :
( ( sK1_Xp @ SY85 @ SY86 )
=> ( sK2_SY30 @ SY85 @ ( SY78 @ SY85 ) @ ( SY80 @ SY86 ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(11,plain,
( ( ! [SY72: a > b,SY73: a > b] :
( ! [SY74: a,SY75: a] :
( ( sK1_Xp @ SY74 @ SY75 )
=> ( sK2_SY30 @ SY74 @ ( SY72 @ SY74 ) @ ( SY73 @ SY75 ) ) )
=> ! [SY76: a,SY77: a] :
( ( sK1_Xp @ SY76 @ SY77 )
=> ( sK2_SY30 @ SY76 @ ( SY73 @ SY76 ) @ ( SY72 @ SY77 ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[10]) ).
thf(12,plain,
( ( ! [SY78: a > b,SY79: a > b,SY80: a > b] :
( ( ! [SY81: a,SY82: a] :
( ( sK1_Xp @ SY81 @ SY82 )
=> ( sK2_SY30 @ SY81 @ ( SY78 @ SY81 ) @ ( SY79 @ SY82 ) ) )
& ! [SY83: a,SY84: a] :
( ( sK1_Xp @ SY83 @ SY84 )
=> ( sK2_SY30 @ SY83 @ ( SY79 @ SY83 ) @ ( SY80 @ SY84 ) ) ) )
=> ! [SY85: a,SY86: a] :
( ( sK1_Xp @ SY85 @ SY86 )
=> ( sK2_SY30 @ SY85 @ ( SY78 @ SY85 ) @ ( SY80 @ SY86 ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[10]) ).
thf(13,plain,
( ( ~ ! [SY72: a > b,SY73: a > b] :
( ! [SY74: a,SY75: a] :
( ( sK1_Xp @ SY74 @ SY75 )
=> ( sK2_SY30 @ SY74 @ ( SY72 @ SY74 ) @ ( SY73 @ SY75 ) ) )
=> ! [SY76: a,SY77: a] :
( ( sK1_Xp @ SY76 @ SY77 )
=> ( sK2_SY30 @ SY76 @ ( SY73 @ SY76 ) @ ( SY72 @ SY77 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ! [SY78: a > b,SY79: a > b,SY80: a > b] :
( ( ! [SY81: a,SY82: a] :
( ( sK1_Xp @ SY81 @ SY82 )
=> ( sK2_SY30 @ SY81 @ ( SY78 @ SY81 ) @ ( SY79 @ SY82 ) ) )
& ! [SY83: a,SY84: a] :
( ( sK1_Xp @ SY83 @ SY84 )
=> ( sK2_SY30 @ SY83 @ ( SY79 @ SY83 ) @ ( SY80 @ SY84 ) ) ) )
=> ! [SY85: a,SY86: a] :
( ( sK1_Xp @ SY85 @ SY86 )
=> ( sK2_SY30 @ SY85 @ ( SY78 @ SY85 ) @ ( SY80 @ SY86 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(15,plain,
( ( ! [SY70: a,SY71: a] :
( ( sK1_Xp @ SY70 @ SY71 )
=> ( ( sK2_SY30 @ SY70 )
= ( sK2_SY30 @ SY71 ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(16,plain,
( ( ! [SY64: a] :
( ( sK1_Xp @ SY64 @ SY64 )
=> ( ! [SY65: b,SY66: b] :
( ( sK2_SY30 @ SY64 @ SY65 @ SY66 )
=> ( sK2_SY30 @ SY64 @ SY66 @ SY65 ) )
& ! [SY67: b,SY68: b,SY69: b] :
( ( ( sK2_SY30 @ SY64 @ SY67 @ SY68 )
& ( sK2_SY30 @ SY64 @ SY68 @ SY69 ) )
=> ( sK2_SY30 @ SY64 @ SY67 @ SY69 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(17,plain,
( ( ! [SY33: a,SY34: a,SY35: a] :
( ( ( sK1_Xp @ SY33 @ SY34 )
& ( sK1_Xp @ SY34 @ SY35 ) )
=> ( sK1_Xp @ SY33 @ SY35 ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(18,plain,
( ( ! [SY31: a,SY32: a] :
( ( sK1_Xp @ SY31 @ SY32 )
=> ( sK1_Xp @ SY32 @ SY31 ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(19,plain,
( ( ~ ! [SY72: a > b,SY73: a > b] :
( ! [SY74: a,SY75: a] :
( ( sK1_Xp @ SY74 @ SY75 )
=> ( sK2_SY30 @ SY74 @ ( SY72 @ SY74 ) @ ( SY73 @ SY75 ) ) )
=> ! [SY76: a,SY77: a] :
( ( sK1_Xp @ SY76 @ SY77 )
=> ( sK2_SY30 @ SY76 @ ( SY73 @ SY76 ) @ ( SY72 @ SY77 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(20,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK2_SY30 @ SX0 )
= ( sK2_SY30 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(21,plain,
( ( ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ~ ( ~ ! [SX1: b,SX2: b] :
( ~ ( sK2_SY30 @ SX0 @ SX1 @ SX2 )
| ( sK2_SY30 @ SX0 @ SX2 @ SX1 ) )
| ~ ! [SX1: b,SX2: b,SX3: b] :
( ~ ~ ( ~ ( sK2_SY30 @ SX0 @ SX1 @ SX2 )
| ~ ( sK2_SY30 @ SX0 @ SX2 @ SX3 ) )
| ( sK2_SY30 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(22,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ~ ( ~ ( sK1_Xp @ SX0 @ SX1 )
| ~ ( sK1_Xp @ SX1 @ SX2 ) )
| ( sK1_Xp @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(23,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK1_Xp @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(24,plain,
( ( ~ ! [SX0: a > b,SX1: a > b] :
( ~ ! [SX2: a,SX3: a] :
( ~ ( sK1_Xp @ SX2 @ SX3 )
| ( sK2_SY30 @ SX2 @ ( SX0 @ SX2 ) @ ( SX1 @ SX3 ) ) )
| ! [SX2: a,SX3: a] :
( ~ ( sK1_Xp @ SX2 @ SX3 )
| ( sK2_SY30 @ SX2 @ ( SX1 @ SX2 ) @ ( SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(25,plain,
! [SV1: a] :
( ( ! [SY87: a] :
( ~ ( sK1_Xp @ SV1 @ SY87 )
| ( ( sK2_SY30 @ SV1 )
= ( sK2_SY30 @ SY87 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(26,plain,
! [SV2: a] :
( ( ~ ( sK1_Xp @ SV2 @ SV2 )
| ~ ( ~ ! [SY88: b,SY89: b] :
( ~ ( sK2_SY30 @ SV2 @ SY88 @ SY89 )
| ( sK2_SY30 @ SV2 @ SY89 @ SY88 ) )
| ~ ! [SY90: b,SY91: b,SY92: b] :
( ~ ~ ( ~ ( sK2_SY30 @ SV2 @ SY90 @ SY91 )
| ~ ( sK2_SY30 @ SV2 @ SY91 @ SY92 ) )
| ( sK2_SY30 @ SV2 @ SY90 @ SY92 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(27,plain,
! [SV3: a] :
( ( ! [SY93: a,SY94: a] :
( ~ ~ ( ~ ( sK1_Xp @ SV3 @ SY93 )
| ~ ( sK1_Xp @ SY93 @ SY94 ) )
| ( sK1_Xp @ SV3 @ SY94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(28,plain,
! [SV4: a] :
( ( ! [SY95: a] :
( ~ ( sK1_Xp @ SV4 @ SY95 )
| ( sK1_Xp @ SY95 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(29,plain,
( ( ! [SX0: a > b,SX1: a > b] :
( ~ ! [SX2: a,SX3: a] :
( ~ ( sK1_Xp @ SX2 @ SX3 )
| ( sK2_SY30 @ SX2 @ ( SX0 @ SX2 ) @ ( SX1 @ SX3 ) ) )
| ! [SX2: a,SX3: a] :
( ~ ( sK1_Xp @ SX2 @ SX3 )
| ( sK2_SY30 @ SX2 @ ( SX1 @ SX2 ) @ ( SX0 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(30,plain,
! [SV5: a,SV1: a] :
( ( ~ ( sK1_Xp @ SV1 @ SV5 )
| ( ( sK2_SY30 @ SV1 )
= ( sK2_SY30 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(31,plain,
! [SV2: a] :
( ( ( ~ ( sK1_Xp @ SV2 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY88: b,SY89: b] :
( ~ ( sK2_SY30 @ SV2 @ SY88 @ SY89 )
| ( sK2_SY30 @ SV2 @ SY89 @ SY88 ) )
| ~ ! [SY90: b,SY91: b,SY92: b] :
( ~ ~ ( ~ ( sK2_SY30 @ SV2 @ SY90 @ SY91 )
| ~ ( sK2_SY30 @ SV2 @ SY91 @ SY92 ) )
| ( sK2_SY30 @ SV2 @ SY90 @ SY92 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(32,plain,
! [SV6: a,SV3: a] :
( ( ! [SY96: a] :
( ~ ~ ( ~ ( sK1_Xp @ SV3 @ SV6 )
| ~ ( sK1_Xp @ SV6 @ SY96 ) )
| ( sK1_Xp @ SV3 @ SY96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(33,plain,
! [SV7: a,SV4: a] :
( ( ~ ( sK1_Xp @ SV4 @ SV7 )
| ( sK1_Xp @ SV7 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(34,plain,
( ( ! [SY97: a > b] :
( ~ ! [SY98: a,SY99: a] :
( ~ ( sK1_Xp @ SY98 @ SY99 )
| ( sK2_SY30 @ SY98 @ ( sK3_SX0 @ SY98 ) @ ( SY97 @ SY99 ) ) )
| ! [SY100: a,SY101: a] :
( ~ ( sK1_Xp @ SY100 @ SY101 )
| ( sK2_SY30 @ SY100 @ ( SY97 @ SY100 ) @ ( sK3_SX0 @ SY101 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[29]) ).
thf(35,plain,
! [SV5: a,SV1: a] :
( ( ( ~ ( sK1_Xp @ SV1 @ SV5 ) )
= $true )
| ( ( ( sK2_SY30 @ SV1 )
= ( sK2_SY30 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(36,plain,
! [SV2: a] :
( ( ( sK1_Xp @ SV2 @ SV2 )
= $false )
| ( ( ~ ( ~ ! [SY88: b,SY89: b] :
( ~ ( sK2_SY30 @ SV2 @ SY88 @ SY89 )
| ( sK2_SY30 @ SV2 @ SY89 @ SY88 ) )
| ~ ! [SY90: b,SY91: b,SY92: b] :
( ~ ~ ( ~ ( sK2_SY30 @ SV2 @ SY90 @ SY91 )
| ~ ( sK2_SY30 @ SV2 @ SY91 @ SY92 ) )
| ( sK2_SY30 @ SV2 @ SY90 @ SY92 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(37,plain,
! [SV8: a,SV6: a,SV3: a] :
( ( ~ ~ ( ~ ( sK1_Xp @ SV3 @ SV6 )
| ~ ( sK1_Xp @ SV6 @ SV8 ) )
| ( sK1_Xp @ SV3 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(38,plain,
! [SV7: a,SV4: a] :
( ( ( ~ ( sK1_Xp @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_Xp @ SV7 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(39,plain,
( ( ~ ! [SY102: a,SY103: a] :
( ~ ( sK1_Xp @ SY102 @ SY103 )
| ( sK2_SY30 @ SY102 @ ( sK3_SX0 @ SY102 ) @ ( sK4_SY97 @ SY103 ) ) )
| ! [SY104: a,SY105: a] :
( ~ ( sK1_Xp @ SY104 @ SY105 )
| ( sK2_SY30 @ SY104 @ ( sK4_SY97 @ SY104 ) @ ( sK3_SX0 @ SY105 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[34]) ).
thf(40,plain,
! [SV5: a,SV1: a] :
( ( ( sK1_Xp @ SV1 @ SV5 )
= $false )
| ( ( ( sK2_SY30 @ SV1 )
= ( sK2_SY30 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(41,plain,
! [SV2: a] :
( ( ( ~ ! [SY88: b,SY89: b] :
( ~ ( sK2_SY30 @ SV2 @ SY88 @ SY89 )
| ( sK2_SY30 @ SV2 @ SY89 @ SY88 ) )
| ~ ! [SY90: b,SY91: b,SY92: b] :
( ~ ~ ( ~ ( sK2_SY30 @ SV2 @ SY90 @ SY91 )
| ~ ( sK2_SY30 @ SV2 @ SY91 @ SY92 ) )
| ( sK2_SY30 @ SV2 @ SY90 @ SY92 ) ) )
= $false )
| ( ( sK1_Xp @ SV2 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(42,plain,
! [SV8: a,SV6: a,SV3: a] :
( ( ( ~ ~ ( ~ ( sK1_Xp @ SV3 @ SV6 )
| ~ ( sK1_Xp @ SV6 @ SV8 ) ) )
= $true )
| ( ( sK1_Xp @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(43,plain,
! [SV7: a,SV4: a] :
( ( ( sK1_Xp @ SV4 @ SV7 )
= $false )
| ( ( sK1_Xp @ SV7 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(44,plain,
( ( ~ ! [SY102: a,SY103: a] :
( ~ ( sK1_Xp @ SY102 @ SY103 )
| ( sK2_SY30 @ SY102 @ ( sK3_SX0 @ SY102 ) @ ( sK4_SY97 @ SY103 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(45,plain,
( ( ! [SY104: a,SY105: a] :
( ~ ( sK1_Xp @ SY104 @ SY105 )
| ( sK2_SY30 @ SY104 @ ( sK4_SY97 @ SY104 ) @ ( sK3_SX0 @ SY105 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(46,plain,
! [SV5: a,SV1: a] :
( ( ( ! [SV9: b] :
( ( sK2_SY30 @ SV1 @ SV9 )
= ( sK2_SY30 @ SV5 @ SV9 ) ) )
= $true )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[40]) ).
thf(47,plain,
! [SV5: a,SV1: a] :
( ( ( ( sK2_SY30 @ SV1 )
= ( sK2_SY30 @ SV5 ) )
= $true )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[40]) ).
thf(48,plain,
! [SV2: a] :
( ( ( ~ ! [SY88: b,SY89: b] :
( ~ ( sK2_SY30 @ SV2 @ SY88 @ SY89 )
| ( sK2_SY30 @ SV2 @ SY89 @ SY88 ) ) )
= $false )
| ( ( sK1_Xp @ SV2 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(49,plain,
! [SV2: a] :
( ( ( ~ ! [SY90: b,SY91: b,SY92: b] :
( ~ ~ ( ~ ( sK2_SY30 @ SV2 @ SY90 @ SY91 )
| ~ ( sK2_SY30 @ SV2 @ SY91 @ SY92 ) )
| ( sK2_SY30 @ SV2 @ SY90 @ SY92 ) ) )
= $false )
| ( ( sK1_Xp @ SV2 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(50,plain,
! [SV8: a,SV6: a,SV3: a] :
( ( ( ~ ( ~ ( sK1_Xp @ SV3 @ SV6 )
| ~ ( sK1_Xp @ SV6 @ SV8 ) ) )
= $false )
| ( ( sK1_Xp @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(51,plain,
( ( ! [SY102: a,SY103: a] :
( ~ ( sK1_Xp @ SY102 @ SY103 )
| ( sK2_SY30 @ SY102 @ ( sK3_SX0 @ SY102 ) @ ( sK4_SY97 @ SY103 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(52,plain,
( ( ! [SY106: a] :
( ~ ( sK1_Xp @ sK5_SY104 @ SY106 )
| ( sK2_SY30 @ sK5_SY104 @ ( sK4_SY97 @ sK5_SY104 ) @ ( sK3_SX0 @ SY106 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[45]) ).
thf(53,plain,
! [SV5: a,SV10: b,SV1: a] :
( ( ( ( sK2_SY30 @ SV1 @ SV10 )
= ( sK2_SY30 @ SV5 @ SV10 ) )
= $true )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(54,plain,
! [SV2: a] :
( ( ( ! [SY88: b,SY89: b] :
( ~ ( sK2_SY30 @ SV2 @ SY88 @ SY89 )
| ( sK2_SY30 @ SV2 @ SY89 @ SY88 ) ) )
= $true )
| ( ( sK1_Xp @ SV2 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(55,plain,
! [SV2: a] :
( ( ( ! [SY90: b,SY91: b,SY92: b] :
( ~ ~ ( ~ ( sK2_SY30 @ SV2 @ SY90 @ SY91 )
| ~ ( sK2_SY30 @ SV2 @ SY91 @ SY92 ) )
| ( sK2_SY30 @ SV2 @ SY90 @ SY92 ) ) )
= $true )
| ( ( sK1_Xp @ SV2 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(56,plain,
! [SV8: a,SV6: a,SV3: a] :
( ( ( ~ ( sK1_Xp @ SV3 @ SV6 )
| ~ ( sK1_Xp @ SV6 @ SV8 ) )
= $true )
| ( ( sK1_Xp @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(57,plain,
! [SV11: a] :
( ( ! [SY107: a] :
( ~ ( sK1_Xp @ SV11 @ SY107 )
| ( sK2_SY30 @ SV11 @ ( sK3_SX0 @ SV11 ) @ ( sK4_SY97 @ SY107 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(58,plain,
( ( ~ ( sK1_Xp @ sK5_SY104 @ sK6_SY106 )
| ( sK2_SY30 @ sK5_SY104 @ ( sK4_SY97 @ sK5_SY104 ) @ ( sK3_SX0 @ sK6_SY106 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[52]) ).
thf(59,plain,
! [SV5: a,SV10: b,SV1: a] :
( ( ( ! [SV12: b] :
( ( sK2_SY30 @ SV1 @ SV10 @ SV12 )
= ( sK2_SY30 @ SV5 @ SV10 @ SV12 ) ) )
= $true )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[53]) ).
thf(60,plain,
! [SV5: a,SV10: b,SV1: a] :
( ( ( ( sK2_SY30 @ SV1 @ SV10 )
= ( sK2_SY30 @ SV5 @ SV10 ) )
= $true )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[53]) ).
thf(61,plain,
! [SV13: b,SV2: a] :
( ( ( ! [SY108: b] :
( ~ ( sK2_SY30 @ SV2 @ SV13 @ SY108 )
| ( sK2_SY30 @ SV2 @ SY108 @ SV13 ) ) )
= $true )
| ( ( sK1_Xp @ SV2 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(62,plain,
! [SV14: b,SV2: a] :
( ( ( ! [SY109: b,SY110: b] :
( ~ ~ ( ~ ( sK2_SY30 @ SV2 @ SV14 @ SY109 )
| ~ ( sK2_SY30 @ SV2 @ SY109 @ SY110 ) )
| ( sK2_SY30 @ SV2 @ SV14 @ SY110 ) ) )
= $true )
| ( ( sK1_Xp @ SV2 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(63,plain,
! [SV8: a,SV6: a,SV3: a] :
( ( ( ~ ( sK1_Xp @ SV3 @ SV6 ) )
= $true )
| ( ( ~ ( sK1_Xp @ SV6 @ SV8 ) )
= $true )
| ( ( sK1_Xp @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(64,plain,
! [SV15: a,SV11: a] :
( ( ~ ( sK1_Xp @ SV11 @ SV15 )
| ( sK2_SY30 @ SV11 @ ( sK3_SX0 @ SV11 ) @ ( sK4_SY97 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(65,plain,
( ( ~ ( sK1_Xp @ sK5_SY104 @ sK6_SY106 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(66,plain,
( ( sK2_SY30 @ sK5_SY104 @ ( sK4_SY97 @ sK5_SY104 ) @ ( sK3_SX0 @ sK6_SY106 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(67,plain,
! [SV5: a,SV16: b,SV10: b,SV1: a] :
( ( ( ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
= ( sK2_SY30 @ SV5 @ SV10 @ SV16 ) )
= $true )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(68,plain,
! [SV17: b,SV13: b,SV2: a] :
( ( ( ~ ( sK2_SY30 @ SV2 @ SV13 @ SV17 )
| ( sK2_SY30 @ SV2 @ SV17 @ SV13 ) )
= $true )
| ( ( sK1_Xp @ SV2 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(69,plain,
! [SV18: b,SV14: b,SV2: a] :
( ( ( ! [SY111: b] :
( ~ ~ ( ~ ( sK2_SY30 @ SV2 @ SV14 @ SV18 )
| ~ ( sK2_SY30 @ SV2 @ SV18 @ SY111 ) )
| ( sK2_SY30 @ SV2 @ SV14 @ SY111 ) ) )
= $true )
| ( ( sK1_Xp @ SV2 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(70,plain,
! [SV8: a,SV6: a,SV3: a] :
( ( ( sK1_Xp @ SV3 @ SV6 )
= $false )
| ( ( ~ ( sK1_Xp @ SV6 @ SV8 ) )
= $true )
| ( ( sK1_Xp @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(71,plain,
! [SV15: a,SV11: a] :
( ( ( ~ ( sK1_Xp @ SV11 @ SV15 ) )
= $true )
| ( ( sK2_SY30 @ SV11 @ ( sK3_SX0 @ SV11 ) @ ( sK4_SY97 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(72,plain,
( ( sK1_Xp @ sK5_SY104 @ sK6_SY106 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(73,plain,
! [SV5: a,SV16: b,SV10: b,SV1: a] :
( ( ( ~ ( ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
| ( sK2_SY30 @ SV5 @ SV10 @ SV16 ) )
| ~ ( ~ ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
| ~ ( sK2_SY30 @ SV5 @ SV10 @ SV16 ) ) )
= $true )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[67]) ).
thf(74,plain,
! [SV5: a,SV16: b,SV10: b,SV1: a] :
( ( ( ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
= ( sK2_SY30 @ SV5 @ SV10 @ SV16 ) )
= $true )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[67]) ).
thf(75,plain,
! [SV17: b,SV13: b,SV2: a] :
( ( ( ~ ( sK2_SY30 @ SV2 @ SV13 @ SV17 ) )
= $true )
| ( ( sK2_SY30 @ SV2 @ SV17 @ SV13 )
= $true )
| ( ( sK1_Xp @ SV2 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(76,plain,
! [SV19: b,SV18: b,SV14: b,SV2: a] :
( ( ( ~ ~ ( ~ ( sK2_SY30 @ SV2 @ SV14 @ SV18 )
| ~ ( sK2_SY30 @ SV2 @ SV18 @ SV19 ) )
| ( sK2_SY30 @ SV2 @ SV14 @ SV19 ) )
= $true )
| ( ( sK1_Xp @ SV2 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(77,plain,
! [SV3: a,SV8: a,SV6: a] :
( ( ( sK1_Xp @ SV6 @ SV8 )
= $false )
| ( ( sK1_Xp @ SV3 @ SV6 )
= $false )
| ( ( sK1_Xp @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(78,plain,
! [SV15: a,SV11: a] :
( ( ( sK1_Xp @ SV11 @ SV15 )
= $false )
| ( ( sK2_SY30 @ SV11 @ ( sK3_SX0 @ SV11 ) @ ( sK4_SY97 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(79,plain,
! [SV5: a,SV16: b,SV10: b,SV1: a] :
( ( ( ~ ( ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
| ( sK2_SY30 @ SV5 @ SV10 @ SV16 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
| ~ ( sK2_SY30 @ SV5 @ SV10 @ SV16 ) ) )
= $true )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(80,plain,
! [SV17: b,SV13: b,SV2: a] :
( ( ( sK2_SY30 @ SV2 @ SV13 @ SV17 )
= $false )
| ( ( sK2_SY30 @ SV2 @ SV17 @ SV13 )
= $true )
| ( ( sK1_Xp @ SV2 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(81,plain,
! [SV19: b,SV18: b,SV14: b,SV2: a] :
( ( ( ~ ~ ( ~ ( sK2_SY30 @ SV2 @ SV14 @ SV18 )
| ~ ( sK2_SY30 @ SV2 @ SV18 @ SV19 ) ) )
= $true )
| ( ( sK2_SY30 @ SV2 @ SV14 @ SV19 )
= $true )
| ( ( sK1_Xp @ SV2 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(82,plain,
! [SV5: a,SV16: b,SV10: b,SV1: a] :
( ( ( ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
| ( sK2_SY30 @ SV5 @ SV10 @ SV16 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
| ~ ( sK2_SY30 @ SV5 @ SV10 @ SV16 ) ) )
= $true )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(83,plain,
! [SV19: b,SV18: b,SV14: b,SV2: a] :
( ( ( ~ ( ~ ( sK2_SY30 @ SV2 @ SV14 @ SV18 )
| ~ ( sK2_SY30 @ SV2 @ SV18 @ SV19 ) ) )
= $false )
| ( ( sK2_SY30 @ SV2 @ SV14 @ SV19 )
= $true )
| ( ( sK1_Xp @ SV2 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(84,plain,
! [SV5: a,SV16: b,SV10: b,SV1: a] :
( ( ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
= $false )
| ( ( ~ ( ~ ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
| ~ ( sK2_SY30 @ SV5 @ SV10 @ SV16 ) ) )
= $true )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(85,plain,
! [SV1: a,SV16: b,SV10: b,SV5: a] :
( ( ( sK2_SY30 @ SV5 @ SV10 @ SV16 )
= $false )
| ( ( ~ ( ~ ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
| ~ ( sK2_SY30 @ SV5 @ SV10 @ SV16 ) ) )
= $true )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(86,plain,
! [SV19: b,SV18: b,SV14: b,SV2: a] :
( ( ( ~ ( sK2_SY30 @ SV2 @ SV14 @ SV18 )
| ~ ( sK2_SY30 @ SV2 @ SV18 @ SV19 ) )
= $true )
| ( ( sK2_SY30 @ SV2 @ SV14 @ SV19 )
= $true )
| ( ( sK1_Xp @ SV2 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(87,plain,
! [SV5: a,SV16: b,SV10: b,SV1: a] :
( ( ( ~ ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
| ~ ( sK2_SY30 @ SV5 @ SV10 @ SV16 ) )
= $false )
| ( ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
= $false )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(88,plain,
! [SV5: a,SV16: b,SV10: b,SV1: a] :
( ( ( ~ ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
| ~ ( sK2_SY30 @ SV5 @ SV10 @ SV16 ) )
= $false )
| ( ( sK2_SY30 @ SV5 @ SV10 @ SV16 )
= $false )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(89,plain,
! [SV19: b,SV18: b,SV14: b,SV2: a] :
( ( ( ~ ( sK2_SY30 @ SV2 @ SV14 @ SV18 ) )
= $true )
| ( ( ~ ( sK2_SY30 @ SV2 @ SV18 @ SV19 ) )
= $true )
| ( ( sK2_SY30 @ SV2 @ SV14 @ SV19 )
= $true )
| ( ( sK1_Xp @ SV2 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(90,plain,
! [SV5: a,SV16: b,SV10: b,SV1: a] :
( ( ( ~ ( sK2_SY30 @ SV1 @ SV10 @ SV16 ) )
= $false )
| ( ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
= $false )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(91,plain,
! [SV1: a,SV16: b,SV10: b,SV5: a] :
( ( ( ~ ( sK2_SY30 @ SV5 @ SV10 @ SV16 ) )
= $false )
| ( ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
= $false )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(92,plain,
! [SV5: a,SV16: b,SV10: b,SV1: a] :
( ( ( ~ ( sK2_SY30 @ SV1 @ SV10 @ SV16 ) )
= $false )
| ( ( sK2_SY30 @ SV5 @ SV10 @ SV16 )
= $false )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(93,plain,
! [SV1: a,SV16: b,SV10: b,SV5: a] :
( ( ( ~ ( sK2_SY30 @ SV5 @ SV10 @ SV16 ) )
= $false )
| ( ( sK2_SY30 @ SV5 @ SV10 @ SV16 )
= $false )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(94,plain,
! [SV19: b,SV18: b,SV14: b,SV2: a] :
( ( ( sK2_SY30 @ SV2 @ SV14 @ SV18 )
= $false )
| ( ( ~ ( sK2_SY30 @ SV2 @ SV18 @ SV19 ) )
= $true )
| ( ( sK2_SY30 @ SV2 @ SV14 @ SV19 )
= $true )
| ( ( sK1_Xp @ SV2 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(95,plain,
! [SV5: a,SV16: b,SV10: b,SV1: a] :
( ( ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
= $true )
| ( ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
= $false )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(96,plain,
! [SV1: a,SV16: b,SV10: b,SV5: a] :
( ( ( sK2_SY30 @ SV5 @ SV10 @ SV16 )
= $true )
| ( ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
= $false )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(97,plain,
! [SV5: a,SV16: b,SV10: b,SV1: a] :
( ( ( sK2_SY30 @ SV1 @ SV10 @ SV16 )
= $true )
| ( ( sK2_SY30 @ SV5 @ SV10 @ SV16 )
= $false )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(98,plain,
! [SV1: a,SV16: b,SV10: b,SV5: a] :
( ( ( sK2_SY30 @ SV5 @ SV10 @ SV16 )
= $true )
| ( ( sK2_SY30 @ SV5 @ SV10 @ SV16 )
= $false )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(99,plain,
! [SV14: b,SV19: b,SV18: b,SV2: a] :
( ( ( sK2_SY30 @ SV2 @ SV18 @ SV19 )
= $false )
| ( ( sK2_SY30 @ SV2 @ SV14 @ SV18 )
= $false )
| ( ( sK2_SY30 @ SV2 @ SV14 @ SV19 )
= $true )
| ( ( sK1_Xp @ SV2 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(100,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[43,99,98,97,96,95,80,78,77,74,72,66,60,47]) ).
thf(101,plain,
( ( ! [SY70: a,SY71: a] :
( ( sK1_Xp @ SY70 @ SY71 )
=> ( ( sK2_SY30 @ SY70 )
= ( sK2_SY30 @ SY71 ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(102,plain,
( ( ! [SY64: a] :
( ( sK1_Xp @ SY64 @ SY64 )
=> ( ! [SY65: b,SY66: b] :
( ( sK2_SY30 @ SY64 @ SY65 @ SY66 )
=> ( sK2_SY30 @ SY64 @ SY66 @ SY65 ) )
& ! [SY67: b,SY68: b,SY69: b] :
( ( ( sK2_SY30 @ SY64 @ SY67 @ SY68 )
& ( sK2_SY30 @ SY64 @ SY68 @ SY69 ) )
=> ( sK2_SY30 @ SY64 @ SY67 @ SY69 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(103,plain,
( ( ! [SY33: a,SY34: a,SY35: a] :
( ( ( sK1_Xp @ SY33 @ SY34 )
& ( sK1_Xp @ SY34 @ SY35 ) )
=> ( sK1_Xp @ SY33 @ SY35 ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(104,plain,
( ( ! [SY31: a,SY32: a] :
( ( sK1_Xp @ SY31 @ SY32 )
=> ( sK1_Xp @ SY32 @ SY31 ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(105,plain,
( ( ~ ! [SY78: a > b,SY79: a > b,SY80: a > b] :
( ( ! [SY81: a,SY82: a] :
( ( sK1_Xp @ SY81 @ SY82 )
=> ( sK2_SY30 @ SY81 @ ( SY78 @ SY81 ) @ ( SY79 @ SY82 ) ) )
& ! [SY83: a,SY84: a] :
( ( sK1_Xp @ SY83 @ SY84 )
=> ( sK2_SY30 @ SY83 @ ( SY79 @ SY83 ) @ ( SY80 @ SY84 ) ) ) )
=> ! [SY85: a,SY86: a] :
( ( sK1_Xp @ SY85 @ SY86 )
=> ( sK2_SY30 @ SY85 @ ( SY78 @ SY85 ) @ ( SY80 @ SY86 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(106,plain,
( ( ~ ! [SX0: a > b,SX1: a > b,SX2: a > b] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ( sK1_Xp @ SX3 @ SX4 )
| ( sK2_SY30 @ SX3 @ ( SX0 @ SX3 ) @ ( SX1 @ SX4 ) ) )
| ~ ! [SX3: a,SX4: a] :
( ~ ( sK1_Xp @ SX3 @ SX4 )
| ( sK2_SY30 @ SX3 @ ( SX1 @ SX3 ) @ ( SX2 @ SX4 ) ) ) )
| ! [SX3: a,SX4: a] :
( ~ ( sK1_Xp @ SX3 @ SX4 )
| ( sK2_SY30 @ SX3 @ ( SX0 @ SX3 ) @ ( SX2 @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(107,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK2_SY30 @ SX0 )
= ( sK2_SY30 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(108,plain,
( ( ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ~ ( ~ ! [SX1: b,SX2: b] :
( ~ ( sK2_SY30 @ SX0 @ SX1 @ SX2 )
| ( sK2_SY30 @ SX0 @ SX2 @ SX1 ) )
| ~ ! [SX1: b,SX2: b,SX3: b] :
( ~ ~ ( ~ ( sK2_SY30 @ SX0 @ SX1 @ SX2 )
| ~ ( sK2_SY30 @ SX0 @ SX2 @ SX3 ) )
| ( sK2_SY30 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(109,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ~ ( ~ ( sK1_Xp @ SX0 @ SX1 )
| ~ ( sK1_Xp @ SX1 @ SX2 ) )
| ( sK1_Xp @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(110,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK1_Xp @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(111,plain,
( ( ! [SX0: a > b,SX1: a > b,SX2: a > b] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ( sK1_Xp @ SX3 @ SX4 )
| ( sK2_SY30 @ SX3 @ ( SX0 @ SX3 ) @ ( SX1 @ SX4 ) ) )
| ~ ! [SX3: a,SX4: a] :
( ~ ( sK1_Xp @ SX3 @ SX4 )
| ( sK2_SY30 @ SX3 @ ( SX1 @ SX3 ) @ ( SX2 @ SX4 ) ) ) )
| ! [SX3: a,SX4: a] :
( ~ ( sK1_Xp @ SX3 @ SX4 )
| ( sK2_SY30 @ SX3 @ ( SX0 @ SX3 ) @ ( SX2 @ SX4 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(112,plain,
! [SV20: a] :
( ( ! [SY112: a] :
( ~ ( sK1_Xp @ SV20 @ SY112 )
| ( ( sK2_SY30 @ SV20 )
= ( sK2_SY30 @ SY112 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(113,plain,
! [SV21: a] :
( ( ~ ( sK1_Xp @ SV21 @ SV21 )
| ~ ( ~ ! [SY113: b,SY114: b] :
( ~ ( sK2_SY30 @ SV21 @ SY113 @ SY114 )
| ( sK2_SY30 @ SV21 @ SY114 @ SY113 ) )
| ~ ! [SY115: b,SY116: b,SY117: b] :
( ~ ~ ( ~ ( sK2_SY30 @ SV21 @ SY115 @ SY116 )
| ~ ( sK2_SY30 @ SV21 @ SY116 @ SY117 ) )
| ( sK2_SY30 @ SV21 @ SY115 @ SY117 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(114,plain,
! [SV22: a] :
( ( ! [SY118: a,SY119: a] :
( ~ ~ ( ~ ( sK1_Xp @ SV22 @ SY118 )
| ~ ( sK1_Xp @ SY118 @ SY119 ) )
| ( sK1_Xp @ SV22 @ SY119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(115,plain,
! [SV23: a] :
( ( ! [SY120: a] :
( ~ ( sK1_Xp @ SV23 @ SY120 )
| ( sK1_Xp @ SY120 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(116,plain,
( ( ! [SY121: a > b,SY122: a > b] :
( ~ ~ ( ~ ! [SY123: a,SY124: a] :
( ~ ( sK1_Xp @ SY123 @ SY124 )
| ( sK2_SY30 @ SY123 @ ( sK7_SX0 @ SY123 ) @ ( SY121 @ SY124 ) ) )
| ~ ! [SX3: a,SX4: a] :
( ~ ( sK1_Xp @ SX3 @ SX4 )
| ( sK2_SY30 @ SX3 @ ( SY121 @ SX3 ) @ ( SY122 @ SX4 ) ) ) )
| ! [SY127: a,SY128: a] :
( ~ ( sK1_Xp @ SY127 @ SY128 )
| ( sK2_SY30 @ SY127 @ ( sK7_SX0 @ SY127 ) @ ( SY122 @ SY128 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[111]) ).
thf(117,plain,
! [SV24: a,SV20: a] :
( ( ~ ( sK1_Xp @ SV20 @ SV24 )
| ( ( sK2_SY30 @ SV20 )
= ( sK2_SY30 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(118,plain,
! [SV21: a] :
( ( ( ~ ( sK1_Xp @ SV21 @ SV21 ) )
= $true )
| ( ( ~ ( ~ ! [SY113: b,SY114: b] :
( ~ ( sK2_SY30 @ SV21 @ SY113 @ SY114 )
| ( sK2_SY30 @ SV21 @ SY114 @ SY113 ) )
| ~ ! [SY115: b,SY116: b,SY117: b] :
( ~ ~ ( ~ ( sK2_SY30 @ SV21 @ SY115 @ SY116 )
| ~ ( sK2_SY30 @ SV21 @ SY116 @ SY117 ) )
| ( sK2_SY30 @ SV21 @ SY115 @ SY117 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(119,plain,
! [SV25: a,SV22: a] :
( ( ! [SY129: a] :
( ~ ~ ( ~ ( sK1_Xp @ SV22 @ SV25 )
| ~ ( sK1_Xp @ SV25 @ SY129 ) )
| ( sK1_Xp @ SV22 @ SY129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(120,plain,
! [SV26: a,SV23: a] :
( ( ~ ( sK1_Xp @ SV23 @ SV26 )
| ( sK1_Xp @ SV26 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(121,plain,
( ( ! [SY130: a > b] :
( ~ ~ ( ~ ! [SY131: a,SY132: a] :
( ~ ( sK1_Xp @ SY131 @ SY132 )
| ( sK2_SY30 @ SY131 @ ( sK7_SX0 @ SY131 ) @ ( sK8_SY121 @ SY132 ) ) )
| ~ ! [SY133: a,SY134: a] :
( ~ ( sK1_Xp @ SY133 @ SY134 )
| ( sK2_SY30 @ SY133 @ ( sK8_SY121 @ SY133 ) @ ( SY130 @ SY134 ) ) ) )
| ! [SY127: a,SY128: a] :
( ~ ( sK1_Xp @ SY127 @ SY128 )
| ( sK2_SY30 @ SY127 @ ( sK7_SX0 @ SY127 ) @ ( SY130 @ SY128 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[116]) ).
thf(122,plain,
! [SV24: a,SV20: a] :
( ( ( ~ ( sK1_Xp @ SV20 @ SV24 ) )
= $true )
| ( ( ( sK2_SY30 @ SV20 )
= ( sK2_SY30 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(123,plain,
! [SV21: a] :
( ( ( sK1_Xp @ SV21 @ SV21 )
= $false )
| ( ( ~ ( ~ ! [SY113: b,SY114: b] :
( ~ ( sK2_SY30 @ SV21 @ SY113 @ SY114 )
| ( sK2_SY30 @ SV21 @ SY114 @ SY113 ) )
| ~ ! [SY115: b,SY116: b,SY117: b] :
( ~ ~ ( ~ ( sK2_SY30 @ SV21 @ SY115 @ SY116 )
| ~ ( sK2_SY30 @ SV21 @ SY116 @ SY117 ) )
| ( sK2_SY30 @ SV21 @ SY115 @ SY117 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(124,plain,
! [SV27: a,SV25: a,SV22: a] :
( ( ~ ~ ( ~ ( sK1_Xp @ SV22 @ SV25 )
| ~ ( sK1_Xp @ SV25 @ SV27 ) )
| ( sK1_Xp @ SV22 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(125,plain,
! [SV26: a,SV23: a] :
( ( ( ~ ( sK1_Xp @ SV23 @ SV26 ) )
= $true )
| ( ( sK1_Xp @ SV26 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(126,plain,
( ( ~ ~ ( ~ ! [SY131: a,SY132: a] :
( ~ ( sK1_Xp @ SY131 @ SY132 )
| ( sK2_SY30 @ SY131 @ ( sK7_SX0 @ SY131 ) @ ( sK8_SY121 @ SY132 ) ) )
| ~ ! [SY139: a,SY140: a] :
( ~ ( sK1_Xp @ SY139 @ SY140 )
| ( sK2_SY30 @ SY139 @ ( sK8_SY121 @ SY139 ) @ ( sK9_SY130 @ SY140 ) ) ) )
| ! [SY141: a,SY142: a] :
( ~ ( sK1_Xp @ SY141 @ SY142 )
| ( sK2_SY30 @ SY141 @ ( sK7_SX0 @ SY141 ) @ ( sK9_SY130 @ SY142 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[121]) ).
thf(127,plain,
! [SV24: a,SV20: a] :
( ( ( sK1_Xp @ SV20 @ SV24 )
= $false )
| ( ( ( sK2_SY30 @ SV20 )
= ( sK2_SY30 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(128,plain,
! [SV21: a] :
( ( ( ~ ! [SY113: b,SY114: b] :
( ~ ( sK2_SY30 @ SV21 @ SY113 @ SY114 )
| ( sK2_SY30 @ SV21 @ SY114 @ SY113 ) )
| ~ ! [SY115: b,SY116: b,SY117: b] :
( ~ ~ ( ~ ( sK2_SY30 @ SV21 @ SY115 @ SY116 )
| ~ ( sK2_SY30 @ SV21 @ SY116 @ SY117 ) )
| ( sK2_SY30 @ SV21 @ SY115 @ SY117 ) ) )
= $false )
| ( ( sK1_Xp @ SV21 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(129,plain,
! [SV27: a,SV25: a,SV22: a] :
( ( ( ~ ~ ( ~ ( sK1_Xp @ SV22 @ SV25 )
| ~ ( sK1_Xp @ SV25 @ SV27 ) ) )
= $true )
| ( ( sK1_Xp @ SV22 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(130,plain,
! [SV26: a,SV23: a] :
( ( ( sK1_Xp @ SV23 @ SV26 )
= $false )
| ( ( sK1_Xp @ SV26 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(131,plain,
( ( ~ ~ ( ~ ! [SY131: a,SY132: a] :
( ~ ( sK1_Xp @ SY131 @ SY132 )
| ( sK2_SY30 @ SY131 @ ( sK7_SX0 @ SY131 ) @ ( sK8_SY121 @ SY132 ) ) )
| ~ ! [SY139: a,SY140: a] :
( ~ ( sK1_Xp @ SY139 @ SY140 )
| ( sK2_SY30 @ SY139 @ ( sK8_SY121 @ SY139 ) @ ( sK9_SY130 @ SY140 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(132,plain,
( ( ! [SY141: a,SY142: a] :
( ~ ( sK1_Xp @ SY141 @ SY142 )
| ( sK2_SY30 @ SY141 @ ( sK7_SX0 @ SY141 ) @ ( sK9_SY130 @ SY142 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(133,plain,
! [SV24: a,SV20: a] :
( ( ( ! [SV28: b] :
( ( sK2_SY30 @ SV20 @ SV28 )
= ( sK2_SY30 @ SV24 @ SV28 ) ) )
= $true )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[127]) ).
thf(134,plain,
! [SV24: a,SV20: a] :
( ( ( ( sK2_SY30 @ SV20 )
= ( sK2_SY30 @ SV24 ) )
= $true )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[127]) ).
thf(135,plain,
! [SV21: a] :
( ( ( ~ ! [SY113: b,SY114: b] :
( ~ ( sK2_SY30 @ SV21 @ SY113 @ SY114 )
| ( sK2_SY30 @ SV21 @ SY114 @ SY113 ) ) )
= $false )
| ( ( sK1_Xp @ SV21 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(136,plain,
! [SV21: a] :
( ( ( ~ ! [SY115: b,SY116: b,SY117: b] :
( ~ ~ ( ~ ( sK2_SY30 @ SV21 @ SY115 @ SY116 )
| ~ ( sK2_SY30 @ SV21 @ SY116 @ SY117 ) )
| ( sK2_SY30 @ SV21 @ SY115 @ SY117 ) ) )
= $false )
| ( ( sK1_Xp @ SV21 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(137,plain,
! [SV27: a,SV25: a,SV22: a] :
( ( ( ~ ( ~ ( sK1_Xp @ SV22 @ SV25 )
| ~ ( sK1_Xp @ SV25 @ SV27 ) ) )
= $false )
| ( ( sK1_Xp @ SV22 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(138,plain,
( ( ~ ( ~ ! [SY131: a,SY132: a] :
( ~ ( sK1_Xp @ SY131 @ SY132 )
| ( sK2_SY30 @ SY131 @ ( sK7_SX0 @ SY131 ) @ ( sK8_SY121 @ SY132 ) ) )
| ~ ! [SY139: a,SY140: a] :
( ~ ( sK1_Xp @ SY139 @ SY140 )
| ( sK2_SY30 @ SY139 @ ( sK8_SY121 @ SY139 ) @ ( sK9_SY130 @ SY140 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(139,plain,
( ( ! [SY143: a] :
( ~ ( sK1_Xp @ sK10_SY141 @ SY143 )
| ( sK2_SY30 @ sK10_SY141 @ ( sK7_SX0 @ sK10_SY141 ) @ ( sK9_SY130 @ SY143 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[132]) ).
thf(140,plain,
! [SV24: a,SV29: b,SV20: a] :
( ( ( ( sK2_SY30 @ SV20 @ SV29 )
= ( sK2_SY30 @ SV24 @ SV29 ) )
= $true )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(141,plain,
! [SV21: a] :
( ( ( ! [SY113: b,SY114: b] :
( ~ ( sK2_SY30 @ SV21 @ SY113 @ SY114 )
| ( sK2_SY30 @ SV21 @ SY114 @ SY113 ) ) )
= $true )
| ( ( sK1_Xp @ SV21 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(142,plain,
! [SV21: a] :
( ( ( ! [SY115: b,SY116: b,SY117: b] :
( ~ ~ ( ~ ( sK2_SY30 @ SV21 @ SY115 @ SY116 )
| ~ ( sK2_SY30 @ SV21 @ SY116 @ SY117 ) )
| ( sK2_SY30 @ SV21 @ SY115 @ SY117 ) ) )
= $true )
| ( ( sK1_Xp @ SV21 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(143,plain,
! [SV27: a,SV25: a,SV22: a] :
( ( ( ~ ( sK1_Xp @ SV22 @ SV25 )
| ~ ( sK1_Xp @ SV25 @ SV27 ) )
= $true )
| ( ( sK1_Xp @ SV22 @ SV27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(144,plain,
( ( ~ ! [SY131: a,SY132: a] :
( ~ ( sK1_Xp @ SY131 @ SY132 )
| ( sK2_SY30 @ SY131 @ ( sK7_SX0 @ SY131 ) @ ( sK8_SY121 @ SY132 ) ) )
| ~ ! [SY139: a,SY140: a] :
( ~ ( sK1_Xp @ SY139 @ SY140 )
| ( sK2_SY30 @ SY139 @ ( sK8_SY121 @ SY139 ) @ ( sK9_SY130 @ SY140 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(145,plain,
( ( ~ ( sK1_Xp @ sK10_SY141 @ sK11_SY143 )
| ( sK2_SY30 @ sK10_SY141 @ ( sK7_SX0 @ sK10_SY141 ) @ ( sK9_SY130 @ sK11_SY143 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[139]) ).
thf(146,plain,
! [SV24: a,SV29: b,SV20: a] :
( ( ( ! [SV30: b] :
( ( sK2_SY30 @ SV20 @ SV29 @ SV30 )
= ( sK2_SY30 @ SV24 @ SV29 @ SV30 ) ) )
= $true )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[140]) ).
thf(147,plain,
! [SV24: a,SV29: b,SV20: a] :
( ( ( ( sK2_SY30 @ SV20 @ SV29 )
= ( sK2_SY30 @ SV24 @ SV29 ) )
= $true )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[140]) ).
thf(148,plain,
! [SV31: b,SV21: a] :
( ( ( ! [SY144: b] :
( ~ ( sK2_SY30 @ SV21 @ SV31 @ SY144 )
| ( sK2_SY30 @ SV21 @ SY144 @ SV31 ) ) )
= $true )
| ( ( sK1_Xp @ SV21 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(149,plain,
! [SV32: b,SV21: a] :
( ( ( ! [SY145: b,SY146: b] :
( ~ ~ ( ~ ( sK2_SY30 @ SV21 @ SV32 @ SY145 )
| ~ ( sK2_SY30 @ SV21 @ SY145 @ SY146 ) )
| ( sK2_SY30 @ SV21 @ SV32 @ SY146 ) ) )
= $true )
| ( ( sK1_Xp @ SV21 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(150,plain,
! [SV27: a,SV25: a,SV22: a] :
( ( ( ~ ( sK1_Xp @ SV22 @ SV25 ) )
= $true )
| ( ( ~ ( sK1_Xp @ SV25 @ SV27 ) )
= $true )
| ( ( sK1_Xp @ SV22 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(151,plain,
( ( ~ ! [SY131: a,SY132: a] :
( ~ ( sK1_Xp @ SY131 @ SY132 )
| ( sK2_SY30 @ SY131 @ ( sK7_SX0 @ SY131 ) @ ( sK8_SY121 @ SY132 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(152,plain,
( ( ~ ! [SY139: a,SY140: a] :
( ~ ( sK1_Xp @ SY139 @ SY140 )
| ( sK2_SY30 @ SY139 @ ( sK8_SY121 @ SY139 ) @ ( sK9_SY130 @ SY140 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(153,plain,
( ( ~ ( sK1_Xp @ sK10_SY141 @ sK11_SY143 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(154,plain,
( ( sK2_SY30 @ sK10_SY141 @ ( sK7_SX0 @ sK10_SY141 ) @ ( sK9_SY130 @ sK11_SY143 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(155,plain,
! [SV24: a,SV33: b,SV29: b,SV20: a] :
( ( ( ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
= ( sK2_SY30 @ SV24 @ SV29 @ SV33 ) )
= $true )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(156,plain,
! [SV34: b,SV31: b,SV21: a] :
( ( ( ~ ( sK2_SY30 @ SV21 @ SV31 @ SV34 )
| ( sK2_SY30 @ SV21 @ SV34 @ SV31 ) )
= $true )
| ( ( sK1_Xp @ SV21 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(157,plain,
! [SV35: b,SV32: b,SV21: a] :
( ( ( ! [SY147: b] :
( ~ ~ ( ~ ( sK2_SY30 @ SV21 @ SV32 @ SV35 )
| ~ ( sK2_SY30 @ SV21 @ SV35 @ SY147 ) )
| ( sK2_SY30 @ SV21 @ SV32 @ SY147 ) ) )
= $true )
| ( ( sK1_Xp @ SV21 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(158,plain,
! [SV27: a,SV25: a,SV22: a] :
( ( ( sK1_Xp @ SV22 @ SV25 )
= $false )
| ( ( ~ ( sK1_Xp @ SV25 @ SV27 ) )
= $true )
| ( ( sK1_Xp @ SV22 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(159,plain,
( ( ! [SY131: a,SY132: a] :
( ~ ( sK1_Xp @ SY131 @ SY132 )
| ( sK2_SY30 @ SY131 @ ( sK7_SX0 @ SY131 ) @ ( sK8_SY121 @ SY132 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(160,plain,
( ( ! [SY139: a,SY140: a] :
( ~ ( sK1_Xp @ SY139 @ SY140 )
| ( sK2_SY30 @ SY139 @ ( sK8_SY121 @ SY139 ) @ ( sK9_SY130 @ SY140 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(161,plain,
( ( sK1_Xp @ sK10_SY141 @ sK11_SY143 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(162,plain,
! [SV24: a,SV33: b,SV29: b,SV20: a] :
( ( ( ~ ( ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
| ( sK2_SY30 @ SV24 @ SV29 @ SV33 ) )
| ~ ( ~ ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
| ~ ( sK2_SY30 @ SV24 @ SV29 @ SV33 ) ) )
= $true )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[155]) ).
thf(163,plain,
! [SV24: a,SV33: b,SV29: b,SV20: a] :
( ( ( ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
= ( sK2_SY30 @ SV24 @ SV29 @ SV33 ) )
= $true )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[155]) ).
thf(164,plain,
! [SV34: b,SV31: b,SV21: a] :
( ( ( ~ ( sK2_SY30 @ SV21 @ SV31 @ SV34 ) )
= $true )
| ( ( sK2_SY30 @ SV21 @ SV34 @ SV31 )
= $true )
| ( ( sK1_Xp @ SV21 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(165,plain,
! [SV36: b,SV35: b,SV32: b,SV21: a] :
( ( ( ~ ~ ( ~ ( sK2_SY30 @ SV21 @ SV32 @ SV35 )
| ~ ( sK2_SY30 @ SV21 @ SV35 @ SV36 ) )
| ( sK2_SY30 @ SV21 @ SV32 @ SV36 ) )
= $true )
| ( ( sK1_Xp @ SV21 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(166,plain,
! [SV22: a,SV27: a,SV25: a] :
( ( ( sK1_Xp @ SV25 @ SV27 )
= $false )
| ( ( sK1_Xp @ SV22 @ SV25 )
= $false )
| ( ( sK1_Xp @ SV22 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(167,plain,
! [SV37: a] :
( ( ! [SY148: a] :
( ~ ( sK1_Xp @ SV37 @ SY148 )
| ( sK2_SY30 @ SV37 @ ( sK7_SX0 @ SV37 ) @ ( sK8_SY121 @ SY148 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(168,plain,
! [SV38: a] :
( ( ! [SY149: a] :
( ~ ( sK1_Xp @ SV38 @ SY149 )
| ( sK2_SY30 @ SV38 @ ( sK8_SY121 @ SV38 ) @ ( sK9_SY130 @ SY149 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(169,plain,
! [SV24: a,SV33: b,SV29: b,SV20: a] :
( ( ( ~ ( ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
| ( sK2_SY30 @ SV24 @ SV29 @ SV33 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
| ~ ( sK2_SY30 @ SV24 @ SV29 @ SV33 ) ) )
= $true )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(170,plain,
! [SV34: b,SV31: b,SV21: a] :
( ( ( sK2_SY30 @ SV21 @ SV31 @ SV34 )
= $false )
| ( ( sK2_SY30 @ SV21 @ SV34 @ SV31 )
= $true )
| ( ( sK1_Xp @ SV21 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(171,plain,
! [SV36: b,SV35: b,SV32: b,SV21: a] :
( ( ( ~ ~ ( ~ ( sK2_SY30 @ SV21 @ SV32 @ SV35 )
| ~ ( sK2_SY30 @ SV21 @ SV35 @ SV36 ) ) )
= $true )
| ( ( sK2_SY30 @ SV21 @ SV32 @ SV36 )
= $true )
| ( ( sK1_Xp @ SV21 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(172,plain,
! [SV39: a,SV37: a] :
( ( ~ ( sK1_Xp @ SV37 @ SV39 )
| ( sK2_SY30 @ SV37 @ ( sK7_SX0 @ SV37 ) @ ( sK8_SY121 @ SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(173,plain,
! [SV40: a,SV38: a] :
( ( ~ ( sK1_Xp @ SV38 @ SV40 )
| ( sK2_SY30 @ SV38 @ ( sK8_SY121 @ SV38 ) @ ( sK9_SY130 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(174,plain,
! [SV24: a,SV33: b,SV29: b,SV20: a] :
( ( ( ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
| ( sK2_SY30 @ SV24 @ SV29 @ SV33 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
| ~ ( sK2_SY30 @ SV24 @ SV29 @ SV33 ) ) )
= $true )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(175,plain,
! [SV36: b,SV35: b,SV32: b,SV21: a] :
( ( ( ~ ( ~ ( sK2_SY30 @ SV21 @ SV32 @ SV35 )
| ~ ( sK2_SY30 @ SV21 @ SV35 @ SV36 ) ) )
= $false )
| ( ( sK2_SY30 @ SV21 @ SV32 @ SV36 )
= $true )
| ( ( sK1_Xp @ SV21 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(176,plain,
! [SV39: a,SV37: a] :
( ( ( ~ ( sK1_Xp @ SV37 @ SV39 ) )
= $true )
| ( ( sK2_SY30 @ SV37 @ ( sK7_SX0 @ SV37 ) @ ( sK8_SY121 @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(177,plain,
! [SV40: a,SV38: a] :
( ( ( ~ ( sK1_Xp @ SV38 @ SV40 ) )
= $true )
| ( ( sK2_SY30 @ SV38 @ ( sK8_SY121 @ SV38 ) @ ( sK9_SY130 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(178,plain,
! [SV24: a,SV33: b,SV29: b,SV20: a] :
( ( ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
= $false )
| ( ( ~ ( ~ ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
| ~ ( sK2_SY30 @ SV24 @ SV29 @ SV33 ) ) )
= $true )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(179,plain,
! [SV20: a,SV33: b,SV29: b,SV24: a] :
( ( ( sK2_SY30 @ SV24 @ SV29 @ SV33 )
= $false )
| ( ( ~ ( ~ ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
| ~ ( sK2_SY30 @ SV24 @ SV29 @ SV33 ) ) )
= $true )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(180,plain,
! [SV36: b,SV35: b,SV32: b,SV21: a] :
( ( ( ~ ( sK2_SY30 @ SV21 @ SV32 @ SV35 )
| ~ ( sK2_SY30 @ SV21 @ SV35 @ SV36 ) )
= $true )
| ( ( sK2_SY30 @ SV21 @ SV32 @ SV36 )
= $true )
| ( ( sK1_Xp @ SV21 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(181,plain,
! [SV39: a,SV37: a] :
( ( ( sK1_Xp @ SV37 @ SV39 )
= $false )
| ( ( sK2_SY30 @ SV37 @ ( sK7_SX0 @ SV37 ) @ ( sK8_SY121 @ SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(182,plain,
! [SV40: a,SV38: a] :
( ( ( sK1_Xp @ SV38 @ SV40 )
= $false )
| ( ( sK2_SY30 @ SV38 @ ( sK8_SY121 @ SV38 ) @ ( sK9_SY130 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(183,plain,
! [SV24: a,SV33: b,SV29: b,SV20: a] :
( ( ( ~ ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
| ~ ( sK2_SY30 @ SV24 @ SV29 @ SV33 ) )
= $false )
| ( ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
= $false )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(184,plain,
! [SV24: a,SV33: b,SV29: b,SV20: a] :
( ( ( ~ ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
| ~ ( sK2_SY30 @ SV24 @ SV29 @ SV33 ) )
= $false )
| ( ( sK2_SY30 @ SV24 @ SV29 @ SV33 )
= $false )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(185,plain,
! [SV36: b,SV35: b,SV32: b,SV21: a] :
( ( ( ~ ( sK2_SY30 @ SV21 @ SV32 @ SV35 ) )
= $true )
| ( ( ~ ( sK2_SY30 @ SV21 @ SV35 @ SV36 ) )
= $true )
| ( ( sK2_SY30 @ SV21 @ SV32 @ SV36 )
= $true )
| ( ( sK1_Xp @ SV21 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(186,plain,
! [SV24: a,SV33: b,SV29: b,SV20: a] :
( ( ( ~ ( sK2_SY30 @ SV20 @ SV29 @ SV33 ) )
= $false )
| ( ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
= $false )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(187,plain,
! [SV20: a,SV33: b,SV29: b,SV24: a] :
( ( ( ~ ( sK2_SY30 @ SV24 @ SV29 @ SV33 ) )
= $false )
| ( ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
= $false )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(188,plain,
! [SV24: a,SV33: b,SV29: b,SV20: a] :
( ( ( ~ ( sK2_SY30 @ SV20 @ SV29 @ SV33 ) )
= $false )
| ( ( sK2_SY30 @ SV24 @ SV29 @ SV33 )
= $false )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(189,plain,
! [SV20: a,SV33: b,SV29: b,SV24: a] :
( ( ( ~ ( sK2_SY30 @ SV24 @ SV29 @ SV33 ) )
= $false )
| ( ( sK2_SY30 @ SV24 @ SV29 @ SV33 )
= $false )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(190,plain,
! [SV36: b,SV35: b,SV32: b,SV21: a] :
( ( ( sK2_SY30 @ SV21 @ SV32 @ SV35 )
= $false )
| ( ( ~ ( sK2_SY30 @ SV21 @ SV35 @ SV36 ) )
= $true )
| ( ( sK2_SY30 @ SV21 @ SV32 @ SV36 )
= $true )
| ( ( sK1_Xp @ SV21 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(191,plain,
! [SV24: a,SV33: b,SV29: b,SV20: a] :
( ( ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
= $true )
| ( ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
= $false )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(192,plain,
! [SV20: a,SV33: b,SV29: b,SV24: a] :
( ( ( sK2_SY30 @ SV24 @ SV29 @ SV33 )
= $true )
| ( ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
= $false )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(193,plain,
! [SV24: a,SV33: b,SV29: b,SV20: a] :
( ( ( sK2_SY30 @ SV20 @ SV29 @ SV33 )
= $true )
| ( ( sK2_SY30 @ SV24 @ SV29 @ SV33 )
= $false )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(194,plain,
! [SV20: a,SV33: b,SV29: b,SV24: a] :
( ( ( sK2_SY30 @ SV24 @ SV29 @ SV33 )
= $true )
| ( ( sK2_SY30 @ SV24 @ SV29 @ SV33 )
= $false )
| ( ( sK1_Xp @ SV20 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(195,plain,
! [SV32: b,SV36: b,SV35: b,SV21: a] :
( ( ( sK2_SY30 @ SV21 @ SV35 @ SV36 )
= $false )
| ( ( sK2_SY30 @ SV21 @ SV32 @ SV35 )
= $false )
| ( ( sK2_SY30 @ SV21 @ SV32 @ SV36 )
= $true )
| ( ( sK1_Xp @ SV21 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(196,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[130,195,194,193,192,191,182,181,170,166,163,161,154,147,134]) ).
thf(197,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[196,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV046^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n003.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 15:41:39 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.33
% 0.47/0.33 No.of.Axioms: 0
% 0.47/0.33
% 0.47/0.33 Length.of.Defs: 0
% 0.47/0.33
% 0.47/0.33 Contains.Choice.Funs: false
% 0.47/0.33 ......
% 0.47/0.33
% 0.47/0.33 ********************************
% 0.47/0.33 * All subproblems solved! *
% 0.47/0.33 ********************************
% 0.47/0.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:4,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:196,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.47/0.33
% 0.47/0.33 %**** Beginning of derivation protocol ****
% 0.47/0.33 % SZS output start CNFRefutation
% See solution above
% 0.47/0.33
% 0.47/0.33 %**** End of derivation protocol ****
% 0.47/0.33 %**** no. of clauses in derivation: 197 ****
% 0.47/0.33 %**** clause counter: 196 ****
% 0.47/0.33
% 0.47/0.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:4,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:196,loop_count:0,foatp_calls:1,translation:fof_full)
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