TSTP Solution File: SEV037^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV037^5 : 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 : n029.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 17:34:27 EDT 2022
% Result : Theorem 6.11s 6.34s
% Output : CNFRefutation 6.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 23
% Syntax : Number of formulae : 413 ( 173 unt; 22 typ; 0 def)
% Number of atoms : 2839 ( 798 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 5494 ( 717 ~; 758 |; 81 &;3808 @)
% ( 0 <=>; 130 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 148 ( 148 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 20 usr; 12 con; 0-3 aty)
% Number of variables : 1539 ( 58 ^1481 !; 0 ?;1539 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_sK10_SY164,type,
sK10_SY164: a > b ).
thf(tp_sK11_SY175,type,
sK11_SY175: a ).
thf(tp_sK12_SY177,type,
sK12_SY177: a ).
thf(tp_sK13_SV61,type,
sK13_SV61: a > b ).
thf(tp_sK14_SV66,type,
sK14_SV66: a > b ).
thf(tp_sK15_SY234,type,
sK15_SY234: a ).
thf(tp_sK16_SY249,type,
sK16_SY249: a ).
thf(tp_sK17_SY236,type,
sK17_SY236: a ).
thf(tp_sK18_SY236,type,
sK18_SY236: a ).
thf(tp_sK19_SY252,type,
sK19_SY252: a ).
thf(tp_sK1_Xp,type,
sK1_Xp: a > a > $o ).
thf(tp_sK20_SY253,type,
sK20_SY253: a ).
thf(tp_sK2_SY38,type,
sK2_SY38: a > a > $o ).
thf(tp_sK3_SY75,type,
sK3_SY75: a > b > b > $o ).
thf(tp_sK4_SY123,type,
sK4_SY123: a > b ).
thf(tp_sK5_SY146,type,
sK5_SY146: a > b ).
thf(tp_sK6_SY153,type,
sK6_SY153: a ).
thf(tp_sK7_SY155,type,
sK7_SY155: a ).
thf(tp_sK8_SY129,type,
sK8_SY129: a > b ).
thf(tp_sK9_SY156,type,
sK9_SY156: a > b ).
thf(1,conjecture,
! [Xp: a > a > $o,Xq: a > a > $o,Xr: 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 ) )
& ( Xp = Xq ) )
=> ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( ! [Xx0: b,Xy0: b] :
( ( Xr @ Xx @ Xx0 @ Xy0 )
=> ( Xr @ Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: b,Xy0: b,Xz: b] :
( ( ( Xr @ Xx @ Xx0 @ Xy0 )
& ( Xr @ Xx @ Xy0 @ Xz ) )
=> ( Xr @ Xx @ Xx0 @ Xz ) )
& ( ( Xr @ Xx )
= ( Xr @ Xy ) ) ) )
=> ( ! [Xx: a > b,Xy: a > b] :
( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xy0 ) ) ) )
& ! [Xx: a > b,Xy: a > b,Xz: a > b] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
& ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
& ( ( ^ [Xf: a > b,Xg: a > b] :
! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xr @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) )
= ( ^ [Xf: a > b,Xg: a > b] :
! [Xx: a,Xy: a] :
( ( Xq @ Xx @ Xy )
=> ( Xr @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM516_pme) ).
thf(2,negated_conjecture,
( ( ! [Xp: a > a > $o,Xq: a > a > $o,Xr: 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 ) )
& ( Xp = Xq ) )
=> ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( ! [Xx0: b,Xy0: b] :
( ( Xr @ Xx @ Xx0 @ Xy0 )
=> ( Xr @ Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: b,Xy0: b,Xz: b] :
( ( ( Xr @ Xx @ Xx0 @ Xy0 )
& ( Xr @ Xx @ Xy0 @ Xz ) )
=> ( Xr @ Xx @ Xx0 @ Xz ) )
& ( ( Xr @ Xx )
= ( Xr @ Xy ) ) ) )
=> ( ! [Xx: a > b,Xy: a > b] :
( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xy0 ) ) ) )
& ! [Xx: a > b,Xy: a > b,Xz: a > b] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
& ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
& ( ( ^ [Xf: a > b,Xg: a > b] :
! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xr @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) )
= ( ^ [Xf: a > b,Xg: a > b] :
! [Xx: a,Xy: a] :
( ( Xq @ Xx @ Xy )
=> ( Xr @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xp: a > a > $o,Xq: a > a > $o,Xr: 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 ) )
& ( Xp = Xq ) )
=> ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( ! [Xx0: b,Xy0: b] :
( ( Xr @ Xx @ Xx0 @ Xy0 )
=> ( Xr @ Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: b,Xy0: b,Xz: b] :
( ( ( Xr @ Xx @ Xx0 @ Xy0 )
& ( Xr @ Xx @ Xy0 @ Xz ) )
=> ( Xr @ Xx @ Xx0 @ Xz ) )
& ( ( Xr @ Xx )
= ( Xr @ Xy ) ) ) )
=> ( ! [Xx: a > b,Xy: a > b] :
( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xy0 ) ) ) )
& ! [Xx: a > b,Xy: a > b,Xz: a > b] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
& ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
& ( ( ^ [Xf: a > b,Xg: a > b] :
! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xr @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) )
= ( ^ [Xf: a > b,Xg: a > b] :
! [Xx: a,Xy: a] :
( ( Xq @ Xx @ Xy )
=> ( Xr @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY38: a > a > $o,SY39: a > b > b > $o] :
( ( ! [SY40: a,SY41: a] :
( ( sK1_Xp @ SY40 @ SY41 )
=> ( sK1_Xp @ SY41 @ SY40 ) )
& ! [SY42: a,SY43: a,SY44: a] :
( ( ( sK1_Xp @ SY42 @ SY43 )
& ( sK1_Xp @ SY43 @ SY44 ) )
=> ( sK1_Xp @ SY42 @ SY44 ) )
& ( sK1_Xp = SY38 ) )
=> ( ! [SY45: a,SY46: a] :
( ( sK1_Xp @ SY45 @ SY46 )
=> ( ! [Xx0: b,Xy0: b] :
( ( SY39 @ SY45 @ Xx0 @ Xy0 )
=> ( SY39 @ SY45 @ Xy0 @ Xx0 ) )
& ! [Xx0: b,Xy0: b,Xz: b] :
( ( ( SY39 @ SY45 @ Xx0 @ Xy0 )
& ( SY39 @ SY45 @ Xy0 @ Xz ) )
=> ( SY39 @ SY45 @ Xx0 @ Xz ) )
& ( ( SY39 @ SY45 )
= ( SY39 @ SY46 ) ) ) )
=> ( ! [SY52: a > b,SY53: a > b] :
( ! [SY54: a,SY55: a] :
( ( sK1_Xp @ SY54 @ SY55 )
=> ( SY39 @ SY54 @ ( SY52 @ SY54 ) @ ( SY53 @ SY55 ) ) )
=> ! [SY56: a,SY57: a] :
( ( sK1_Xp @ SY56 @ SY57 )
=> ( SY39 @ SY56 @ ( SY53 @ SY56 ) @ ( SY52 @ SY57 ) ) ) )
& ! [SY58: a > b,SY59: a > b,SY60: a > b] :
( ( ! [SY61: a,SY62: a] :
( ( sK1_Xp @ SY61 @ SY62 )
=> ( SY39 @ SY61 @ ( SY58 @ SY61 ) @ ( SY59 @ SY62 ) ) )
& ! [SY63: a,SY64: a] :
( ( sK1_Xp @ SY63 @ SY64 )
=> ( SY39 @ SY63 @ ( SY59 @ SY63 ) @ ( SY60 @ SY64 ) ) ) )
=> ! [SY65: a,SY66: a] :
( ( sK1_Xp @ SY65 @ SY66 )
=> ( SY39 @ SY65 @ ( SY58 @ SY65 ) @ ( SY60 @ SY66 ) ) ) )
& ( ( ^ [SY67: a > b,SY68: a > b] :
! [SY69: a,SY70: a] :
( ( sK1_Xp @ SY69 @ SY70 )
=> ( SY39 @ SY69 @ ( SY67 @ SY69 ) @ ( SY68 @ SY70 ) ) ) )
= ( ^ [Xf: a > b,Xg: a > b] :
! [Xx: a,Xy: a] :
( ( SY38 @ Xx @ Xy )
=> ( SY39 @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY75: a > b > b > $o] :
( ( ! [SY40: a,SY41: a] :
( ( sK1_Xp @ SY40 @ SY41 )
=> ( sK1_Xp @ SY41 @ SY40 ) )
& ! [SY42: a,SY43: a,SY44: a] :
( ( ( sK1_Xp @ SY42 @ SY43 )
& ( sK1_Xp @ SY43 @ SY44 ) )
=> ( sK1_Xp @ SY42 @ SY44 ) )
& ( sK1_Xp = sK2_SY38 ) )
=> ( ! [SY45: a,SY46: a] :
( ( sK1_Xp @ SY45 @ SY46 )
=> ( ! [Xx0: b,Xy0: b] :
( ( SY75 @ SY45 @ Xx0 @ Xy0 )
=> ( SY75 @ SY45 @ Xy0 @ Xx0 ) )
& ! [Xx0: b,Xy0: b,Xz: b] :
( ( ( SY75 @ SY45 @ Xx0 @ Xy0 )
& ( SY75 @ SY45 @ Xy0 @ Xz ) )
=> ( SY75 @ SY45 @ Xx0 @ Xz ) )
& ( ( SY75 @ SY45 )
= ( SY75 @ SY46 ) ) ) )
=> ( ! [SY52: a > b,SY53: a > b] :
( ! [SY54: a,SY55: a] :
( ( sK1_Xp @ SY54 @ SY55 )
=> ( SY75 @ SY54 @ ( SY52 @ SY54 ) @ ( SY53 @ SY55 ) ) )
=> ! [SY56: a,SY57: a] :
( ( sK1_Xp @ SY56 @ SY57 )
=> ( SY75 @ SY56 @ ( SY53 @ SY56 ) @ ( SY52 @ SY57 ) ) ) )
& ! [SY58: a > b,SY59: a > b,SY60: a > b] :
( ( ! [SY61: a,SY62: a] :
( ( sK1_Xp @ SY61 @ SY62 )
=> ( SY75 @ SY61 @ ( SY58 @ SY61 ) @ ( SY59 @ SY62 ) ) )
& ! [SY63: a,SY64: a] :
( ( sK1_Xp @ SY63 @ SY64 )
=> ( SY75 @ SY63 @ ( SY59 @ SY63 ) @ ( SY60 @ SY64 ) ) ) )
=> ! [SY65: a,SY66: a] :
( ( sK1_Xp @ SY65 @ SY66 )
=> ( SY75 @ SY65 @ ( SY58 @ SY65 ) @ ( SY60 @ SY66 ) ) ) )
& ( ( ^ [SY67: a > b,SY68: a > b] :
! [SY69: a,SY70: a] :
( ( sK1_Xp @ SY69 @ SY70 )
=> ( SY75 @ SY69 @ ( SY67 @ SY69 ) @ ( SY68 @ SY70 ) ) ) )
= ( ^ [SY107: a > b,SY108: a > b] :
! [SY109: a,SY110: a] :
( ( sK2_SY38 @ SY109 @ SY110 )
=> ( SY75 @ SY109 @ ( SY107 @ SY109 ) @ ( SY108 @ SY110 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ( ! [SY40: a,SY41: a] :
( ( sK1_Xp @ SY40 @ SY41 )
=> ( sK1_Xp @ SY41 @ SY40 ) )
& ! [SY42: a,SY43: a,SY44: a] :
( ( ( sK1_Xp @ SY42 @ SY43 )
& ( sK1_Xp @ SY43 @ SY44 ) )
=> ( sK1_Xp @ SY42 @ SY44 ) )
& ( sK1_Xp = sK2_SY38 ) )
=> ( ! [SY116: a,SY117: a] :
( ( sK1_Xp @ SY116 @ SY117 )
=> ( ! [SY118: b,SY119: b] :
( ( sK3_SY75 @ SY116 @ SY118 @ SY119 )
=> ( sK3_SY75 @ SY116 @ SY119 @ SY118 ) )
& ! [SY120: b,SY121: b,SY122: b] :
( ( ( sK3_SY75 @ SY116 @ SY120 @ SY121 )
& ( sK3_SY75 @ SY116 @ SY121 @ SY122 ) )
=> ( sK3_SY75 @ SY116 @ SY120 @ SY122 ) )
& ( ( sK3_SY75 @ SY116 )
= ( sK3_SY75 @ SY117 ) ) ) )
=> ( ! [SY123: a > b,SY124: a > b] :
( ! [SY125: a,SY126: a] :
( ( sK1_Xp @ SY125 @ SY126 )
=> ( sK3_SY75 @ SY125 @ ( SY123 @ SY125 ) @ ( SY124 @ SY126 ) ) )
=> ! [SY127: a,SY128: a] :
( ( sK1_Xp @ SY127 @ SY128 )
=> ( sK3_SY75 @ SY127 @ ( SY124 @ SY127 ) @ ( SY123 @ SY128 ) ) ) )
& ! [SY129: a > b,SY130: a > b,SY131: a > b] :
( ( ! [SY132: a,SY133: a] :
( ( sK1_Xp @ SY132 @ SY133 )
=> ( sK3_SY75 @ SY132 @ ( SY129 @ SY132 ) @ ( SY130 @ SY133 ) ) )
& ! [SY134: a,SY135: a] :
( ( sK1_Xp @ SY134 @ SY135 )
=> ( sK3_SY75 @ SY134 @ ( SY130 @ SY134 ) @ ( SY131 @ SY135 ) ) ) )
=> ! [SY136: a,SY137: a] :
( ( sK1_Xp @ SY136 @ SY137 )
=> ( sK3_SY75 @ SY136 @ ( SY129 @ SY136 ) @ ( SY131 @ SY137 ) ) ) )
& ( ( ^ [SY138: a > b,SY139: a > b] :
! [SY140: a,SY141: a] :
( ( sK1_Xp @ SY140 @ SY141 )
=> ( sK3_SY75 @ SY140 @ ( SY138 @ SY140 ) @ ( SY139 @ SY141 ) ) ) )
= ( ^ [SY142: a > b,SY143: a > b] :
! [SY144: a,SY145: a] :
( ( sK2_SY38 @ SY144 @ SY145 )
=> ( sK3_SY75 @ SY144 @ ( SY142 @ SY144 ) @ ( SY143 @ SY145 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY40: a,SY41: a] :
( ( sK1_Xp @ SY40 @ SY41 )
=> ( sK1_Xp @ SY41 @ SY40 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SY42: a,SY43: a,SY44: a] :
( ( ( sK1_Xp @ SY42 @ SY43 )
& ( sK1_Xp @ SY43 @ SY44 ) )
=> ( sK1_Xp @ SY42 @ SY44 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(9,plain,
( ( sK1_Xp = sK2_SY38 )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(10,plain,
( ( ! [SY116: a,SY117: a] :
( ( sK1_Xp @ SY116 @ SY117 )
=> ( ! [SY118: b,SY119: b] :
( ( sK3_SY75 @ SY116 @ SY118 @ SY119 )
=> ( sK3_SY75 @ SY116 @ SY119 @ SY118 ) )
& ! [SY120: b,SY121: b,SY122: b] :
( ( ( sK3_SY75 @ SY116 @ SY120 @ SY121 )
& ( sK3_SY75 @ SY116 @ SY121 @ SY122 ) )
=> ( sK3_SY75 @ SY116 @ SY120 @ SY122 ) )
& ( ( sK3_SY75 @ SY116 )
= ( sK3_SY75 @ SY117 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(11,plain,
( ( ! [SY123: a > b,SY124: a > b] :
( ! [SY125: a,SY126: a] :
( ( sK1_Xp @ SY125 @ SY126 )
=> ( sK3_SY75 @ SY125 @ ( SY123 @ SY125 ) @ ( SY124 @ SY126 ) ) )
=> ! [SY127: a,SY128: a] :
( ( sK1_Xp @ SY127 @ SY128 )
=> ( sK3_SY75 @ SY127 @ ( SY124 @ SY127 ) @ ( SY123 @ SY128 ) ) ) )
& ! [SY129: a > b,SY130: a > b,SY131: a > b] :
( ( ! [SY132: a,SY133: a] :
( ( sK1_Xp @ SY132 @ SY133 )
=> ( sK3_SY75 @ SY132 @ ( SY129 @ SY132 ) @ ( SY130 @ SY133 ) ) )
& ! [SY134: a,SY135: a] :
( ( sK1_Xp @ SY134 @ SY135 )
=> ( sK3_SY75 @ SY134 @ ( SY130 @ SY134 ) @ ( SY131 @ SY135 ) ) ) )
=> ! [SY136: a,SY137: a] :
( ( sK1_Xp @ SY136 @ SY137 )
=> ( sK3_SY75 @ SY136 @ ( SY129 @ SY136 ) @ ( SY131 @ SY137 ) ) ) )
& ( ( ^ [SY138: a > b,SY139: a > b] :
! [SY140: a,SY141: a] :
( ( sK1_Xp @ SY140 @ SY141 )
=> ( sK3_SY75 @ SY140 @ ( SY138 @ SY140 ) @ ( SY139 @ SY141 ) ) ) )
= ( ^ [SY142: a > b,SY143: a > b] :
! [SY144: a,SY145: a] :
( ( sK2_SY38 @ SY144 @ SY145 )
=> ( sK3_SY75 @ SY144 @ ( SY142 @ SY144 ) @ ( SY143 @ SY145 ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(12,plain,
( ( ! [SY123: a > b,SY124: a > b] :
( ! [SY125: a,SY126: a] :
( ( sK1_Xp @ SY125 @ SY126 )
=> ( sK3_SY75 @ SY125 @ ( SY123 @ SY125 ) @ ( SY124 @ SY126 ) ) )
=> ! [SY127: a,SY128: a] :
( ( sK1_Xp @ SY127 @ SY128 )
=> ( sK3_SY75 @ SY127 @ ( SY124 @ SY127 ) @ ( SY123 @ SY128 ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[11]) ).
thf(13,plain,
( ( ! [SY129: a > b,SY130: a > b,SY131: a > b] :
( ( ! [SY132: a,SY133: a] :
( ( sK1_Xp @ SY132 @ SY133 )
=> ( sK3_SY75 @ SY132 @ ( SY129 @ SY132 ) @ ( SY130 @ SY133 ) ) )
& ! [SY134: a,SY135: a] :
( ( sK1_Xp @ SY134 @ SY135 )
=> ( sK3_SY75 @ SY134 @ ( SY130 @ SY134 ) @ ( SY131 @ SY135 ) ) ) )
=> ! [SY136: a,SY137: a] :
( ( sK1_Xp @ SY136 @ SY137 )
=> ( sK3_SY75 @ SY136 @ ( SY129 @ SY136 ) @ ( SY131 @ SY137 ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[11]) ).
thf(14,plain,
( ( ( ^ [SY138: a > b,SY139: a > b] :
! [SY140: a,SY141: a] :
( ( sK1_Xp @ SY140 @ SY141 )
=> ( sK3_SY75 @ SY140 @ ( SY138 @ SY140 ) @ ( SY139 @ SY141 ) ) ) )
= ( ^ [SY142: a > b,SY143: a > b] :
! [SY144: a,SY145: a] :
( ( sK2_SY38 @ SY144 @ SY145 )
=> ( sK3_SY75 @ SY144 @ ( SY142 @ SY144 ) @ ( SY143 @ SY145 ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[11]) ).
thf(15,plain,
( ( ~ ! [SY123: a > b,SY124: a > b] :
( ! [SY125: a,SY126: a] :
( ( sK1_Xp @ SY125 @ SY126 )
=> ( sK3_SY75 @ SY125 @ ( SY123 @ SY125 ) @ ( SY124 @ SY126 ) ) )
=> ! [SY127: a,SY128: a] :
( ( sK1_Xp @ SY127 @ SY128 )
=> ( sK3_SY75 @ SY127 @ ( SY124 @ SY127 ) @ ( SY123 @ SY128 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(16,plain,
( ( ~ ! [SY129: a > b,SY130: a > b,SY131: a > b] :
( ( ! [SY132: a,SY133: a] :
( ( sK1_Xp @ SY132 @ SY133 )
=> ( sK3_SY75 @ SY132 @ ( SY129 @ SY132 ) @ ( SY130 @ SY133 ) ) )
& ! [SY134: a,SY135: a] :
( ( sK1_Xp @ SY134 @ SY135 )
=> ( sK3_SY75 @ SY134 @ ( SY130 @ SY134 ) @ ( SY131 @ SY135 ) ) ) )
=> ! [SY136: a,SY137: a] :
( ( sK1_Xp @ SY136 @ SY137 )
=> ( sK3_SY75 @ SY136 @ ( SY129 @ SY136 ) @ ( SY131 @ SY137 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[13]) ).
thf(17,plain,
( ( ( ( ^ [SY138: a > b,SY139: a > b] :
! [SY140: a,SY141: a] :
( ( sK1_Xp @ SY140 @ SY141 )
=> ( sK3_SY75 @ SY140 @ ( SY138 @ SY140 ) @ ( SY139 @ SY141 ) ) ) )
!= ( ^ [SY142: a > b,SY143: a > b] :
! [SY144: a,SY145: a] :
( ( sK2_SY38 @ SY144 @ SY145 )
=> ( sK3_SY75 @ SY144 @ ( SY142 @ SY144 ) @ ( SY143 @ SY145 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[14]) ).
thf(18,plain,
( ( ! [SY151: a,SY152: a] :
( ~ ( sK1_Xp @ SY151 @ SY152 )
| ( sK3_SY75 @ SY151 @ ( sK4_SY123 @ SY151 ) @ ( sK5_SY146 @ SY152 ) ) )
& ( sK1_Xp @ sK6_SY153 @ sK7_SY155 )
& ~ ( sK3_SY75 @ sK6_SY153 @ ( sK5_SY146 @ sK6_SY153 ) @ ( sK4_SY123 @ sK7_SY155 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(19,plain,
( ( ! [SY165: a,SY166: a] :
( ~ ( sK1_Xp @ SY165 @ SY166 )
| ( sK3_SY75 @ SY165 @ ( sK8_SY129 @ SY165 ) @ ( sK9_SY156 @ SY166 ) ) )
& ! [SY173: a,SY174: a] :
( ~ ( sK1_Xp @ SY173 @ SY174 )
| ( sK3_SY75 @ SY173 @ ( sK9_SY156 @ SY173 ) @ ( sK10_SY164 @ SY174 ) ) )
& ( sK1_Xp @ sK11_SY175 @ sK12_SY177 )
& ~ ( sK3_SY75 @ sK11_SY175 @ ( sK8_SY129 @ sK11_SY175 ) @ ( sK10_SY164 @ sK12_SY177 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(20,plain,
( ( ! [SY40: a,SY41: a] :
( ~ ( sK1_Xp @ SY40 @ SY41 )
| ( sK1_Xp @ SY41 @ SY40 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(21,plain,
( ( ! [SY42: a,SY43: a,SY44: a] :
( ~ ( sK1_Xp @ SY42 @ SY43 )
| ~ ( sK1_Xp @ SY43 @ SY44 )
| ( sK1_Xp @ SY42 @ SY44 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(22,plain,
( ( ! [SY116: a] :
( ! [SY117: a] :
~ ( sK1_Xp @ SY116 @ SY117 )
| ! [SY118: b,SY119: b] :
( ~ ( sK3_SY75 @ SY116 @ SY118 @ SY119 )
| ( sK3_SY75 @ SY116 @ SY119 @ SY118 ) ) )
& ! [SY116: a] :
( ! [SY117: a] :
~ ( sK1_Xp @ SY116 @ SY117 )
| ! [SY120: b,SY121: b,SY122: b] :
( ~ ( sK3_SY75 @ SY116 @ SY120 @ SY121 )
| ~ ( sK3_SY75 @ SY116 @ SY121 @ SY122 )
| ( sK3_SY75 @ SY116 @ SY120 @ SY122 ) ) )
& ! [SY116: a,SY117: a] :
( ~ ( sK1_Xp @ SY116 @ SY117 )
| ( ( sK3_SY75 @ SY116 )
= ( sK3_SY75 @ SY117 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(23,plain,
( ( ! [SY116: a] :
( ! [SY117: a] :
~ ( sK1_Xp @ SY116 @ SY117 )
| ! [SY118: b,SY119: b] :
( ~ ( sK3_SY75 @ SY116 @ SY118 @ SY119 )
| ( sK3_SY75 @ SY116 @ SY119 @ SY118 ) ) )
& ! [SY116: a] :
( ! [SY117: a] :
~ ( sK1_Xp @ SY116 @ SY117 )
| ! [SY120: b,SY121: b,SY122: b] :
( ~ ( sK3_SY75 @ SY116 @ SY120 @ SY121 )
| ~ ( sK3_SY75 @ SY116 @ SY121 @ SY122 )
| ( sK3_SY75 @ SY116 @ SY120 @ SY122 ) ) )
& ! [SY116: a,SY117: a] :
( ~ ( sK1_Xp @ SY116 @ SY117 )
| ( ( sK3_SY75 @ SY116 )
= ( sK3_SY75 @ SY117 ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(24,plain,
( ( sK1_Xp = sK2_SY38 )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(25,plain,
( ( ! [SY42: a,SY43: a,SY44: a] :
( ~ ( sK1_Xp @ SY42 @ SY43 )
| ~ ( sK1_Xp @ SY43 @ SY44 )
| ( sK1_Xp @ SY42 @ SY44 ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(26,plain,
( ( ! [SY40: a,SY41: a] :
( ~ ( sK1_Xp @ SY40 @ SY41 )
| ( sK1_Xp @ SY41 @ SY40 ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(27,plain,
( ( ! [SY151: a,SY152: a] :
( ~ ( sK1_Xp @ SY151 @ SY152 )
| ( sK3_SY75 @ SY151 @ ( sK4_SY123 @ SY151 ) @ ( sK5_SY146 @ SY152 ) ) )
& ( sK1_Xp @ sK6_SY153 @ sK7_SY155 )
& ~ ( sK3_SY75 @ sK6_SY153 @ ( sK5_SY146 @ sK6_SY153 ) @ ( sK4_SY123 @ sK7_SY155 ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(28,plain,
( ( ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY75 @ SX0 @ ( sK4_SY123 @ SX0 ) @ ( sK5_SY146 @ SX1 ) ) )
| ~ ~ ( ~ ( sK1_Xp @ sK6_SY153 @ sK7_SY155 )
| ~ ~ ( sK3_SY75 @ sK6_SY153 @ ( sK5_SY146 @ sK6_SY153 ) @ ( sK4_SY123 @ sK7_SY155 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(29,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY75 @ SX0 )
= ( sK3_SY75 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(30,plain,
( ( ! [SV1: a] :
( ( sK1_Xp @ SV1 )
= ( sK2_SY38 @ SV1 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[24]) ).
thf(31,plain,
( ( sK1_Xp = sK2_SY38 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[24]) ).
thf(32,plain,
! [SV2: a] :
( ( ! [SY178: a,SY179: a] :
( ~ ( sK1_Xp @ SV2 @ SY178 )
| ~ ( sK1_Xp @ SY178 @ SY179 )
| ( sK1_Xp @ SV2 @ SY179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(33,plain,
! [SV3: a] :
( ( ! [SY180: a] :
( ~ ( sK1_Xp @ SV3 @ SY180 )
| ( sK1_Xp @ SY180 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(34,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY75 @ SX0 @ ( sK4_SY123 @ SX0 ) @ ( sK5_SY146 @ SX1 ) ) )
| ~ ~ ( ~ ( sK1_Xp @ sK6_SY153 @ sK7_SY155 )
| ~ ~ ( sK3_SY75 @ sK6_SY153 @ ( sK5_SY146 @ sK6_SY153 ) @ ( sK4_SY123 @ sK7_SY155 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(35,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY75 @ SX0 )
= ( sK3_SY75 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(36,plain,
! [SV4: a] :
( ( ( sK1_Xp @ SV4 )
= ( sK2_SY38 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(37,plain,
! [SV5: a,SV2: a] :
( ( ! [SY181: a] :
( ~ ( sK1_Xp @ SV2 @ SV5 )
| ~ ( sK1_Xp @ SV5 @ SY181 )
| ( sK1_Xp @ SV2 @ SY181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(38,plain,
! [SV6: a,SV3: a] :
( ( ~ ( sK1_Xp @ SV3 @ SV6 )
| ( sK1_Xp @ SV6 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(39,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY75 @ SX0 @ ( sK4_SY123 @ SX0 ) @ ( sK5_SY146 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(40,plain,
( ( ~ ~ ( ~ ( sK1_Xp @ sK6_SY153 @ sK7_SY155 )
| ~ ~ ( sK3_SY75 @ sK6_SY153 @ ( sK5_SY146 @ sK6_SY153 ) @ ( sK4_SY123 @ sK7_SY155 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(41,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(42,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY75 @ SX0 )
= ( sK3_SY75 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(43,plain,
! [SV4: a] :
( ( ! [SV7: a] :
( ( sK1_Xp @ SV4 @ SV7 )
= ( sK2_SY38 @ SV4 @ SV7 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[36]) ).
thf(44,plain,
! [SV4: a] :
( ( ( sK1_Xp @ SV4 )
= ( sK2_SY38 @ SV4 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[36]) ).
thf(45,plain,
! [SV8: a,SV5: a,SV2: a] :
( ( ~ ( sK1_Xp @ SV2 @ SV5 )
| ~ ( sK1_Xp @ SV5 @ SV8 )
| ( sK1_Xp @ SV2 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(46,plain,
! [SV6: a,SV3: a] :
( ( ( ~ ( sK1_Xp @ SV3 @ SV6 ) )
= $true )
| ( ( sK1_Xp @ SV6 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(47,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY75 @ SX0 @ ( sK4_SY123 @ SX0 ) @ ( sK5_SY146 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(48,plain,
( ( ~ ( ~ ( sK1_Xp @ sK6_SY153 @ sK7_SY155 )
| ~ ~ ( sK3_SY75 @ sK6_SY153 @ ( sK5_SY146 @ sK6_SY153 ) @ ( sK4_SY123 @ sK7_SY155 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(49,plain,
( ( ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(50,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY75 @ SX0 )
= ( sK3_SY75 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(51,plain,
! [SV9: a,SV4: a] :
( ( ( sK1_Xp @ SV4 @ SV9 )
= ( sK2_SY38 @ SV4 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(52,plain,
! [SV8: a,SV5: a,SV2: a] :
( ( ( ~ ( sK1_Xp @ SV2 @ SV5 )
| ~ ( sK1_Xp @ SV5 @ SV8 ) )
= $true )
| ( ( sK1_Xp @ SV2 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(53,plain,
! [SV6: a,SV3: a] :
( ( ( sK1_Xp @ SV3 @ SV6 )
= $false )
| ( ( sK1_Xp @ SV6 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(54,plain,
! [SV10: a] :
( ( ! [SY182: a] :
( ~ ( sK1_Xp @ SV10 @ SY182 )
| ( sK3_SY75 @ SV10 @ ( sK4_SY123 @ SV10 ) @ ( sK5_SY146 @ SY182 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(55,plain,
( ( ~ ( sK1_Xp @ sK6_SY153 @ sK7_SY155 )
| ~ ~ ( sK3_SY75 @ sK6_SY153 @ ( sK5_SY146 @ sK6_SY153 ) @ ( sK4_SY123 @ sK7_SY155 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(56,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(57,plain,
! [SV11: a] :
( ( ! [SY183: a] :
( ~ ( sK1_Xp @ SV11 @ SY183 )
| ( ( sK3_SY75 @ SV11 )
= ( sK3_SY75 @ SY183 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(58,plain,
! [SV9: a,SV4: a] :
( ( ~ ( ( sK1_Xp @ SV4 @ SV9 )
| ( sK2_SY38 @ SV4 @ SV9 ) )
| ~ ( ~ ( sK1_Xp @ SV4 @ SV9 )
| ~ ( sK2_SY38 @ SV4 @ SV9 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[51]) ).
thf(59,plain,
! [SV9: a,SV4: a] :
( ( ( sK1_Xp @ SV4 @ SV9 )
= ( sK2_SY38 @ SV4 @ SV9 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[51]) ).
thf(60,plain,
! [SV8: a,SV5: a,SV2: a] :
( ( ( ~ ( sK1_Xp @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( sK1_Xp @ SV5 @ SV8 ) )
= $true )
| ( ( sK1_Xp @ SV2 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(61,plain,
! [SV12: a,SV10: a] :
( ( ~ ( sK1_Xp @ SV10 @ SV12 )
| ( sK3_SY75 @ SV10 @ ( sK4_SY123 @ SV10 ) @ ( sK5_SY146 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(62,plain,
( ( ~ ( sK1_Xp @ sK6_SY153 @ sK7_SY155 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(63,plain,
( ( ~ ~ ( sK3_SY75 @ sK6_SY153 @ ( sK5_SY146 @ sK6_SY153 ) @ ( sK4_SY123 @ sK7_SY155 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(64,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(65,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(66,plain,
! [SV13: a,SV11: a] :
( ( ~ ( sK1_Xp @ SV11 @ SV13 )
| ( ( sK3_SY75 @ SV11 )
= ( sK3_SY75 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(67,plain,
! [SV9: a,SV4: a] :
( ( ( ~ ( ( sK1_Xp @ SV4 @ SV9 )
| ( sK2_SY38 @ SV4 @ SV9 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_Xp @ SV4 @ SV9 )
| ~ ( sK2_SY38 @ SV4 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(68,plain,
! [SV8: a,SV5: a,SV2: a] :
( ( ( sK1_Xp @ SV2 @ SV5 )
= $false )
| ( ( ~ ( sK1_Xp @ SV5 @ SV8 ) )
= $true )
| ( ( sK1_Xp @ SV2 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(69,plain,
! [SV12: a,SV10: a] :
( ( ( ~ ( sK1_Xp @ SV10 @ SV12 ) )
= $true )
| ( ( sK3_SY75 @ SV10 @ ( sK4_SY123 @ SV10 ) @ ( sK5_SY146 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(70,plain,
( ( sK1_Xp @ sK6_SY153 @ sK7_SY155 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(71,plain,
( ( ~ ( sK3_SY75 @ sK6_SY153 @ ( sK5_SY146 @ sK6_SY153 ) @ ( sK4_SY123 @ sK7_SY155 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(72,plain,
( ( ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(73,plain,
( ( ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(74,plain,
! [SV13: a,SV11: a] :
( ( ( ~ ( sK1_Xp @ SV11 @ SV13 ) )
= $true )
| ( ( ( sK3_SY75 @ SV11 )
= ( sK3_SY75 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(75,plain,
! [SV9: a,SV4: a] :
( ( ( ( sK1_Xp @ SV4 @ SV9 )
| ( sK2_SY38 @ SV4 @ SV9 ) )
= $false )
| ( ( ~ ( ~ ( sK1_Xp @ SV4 @ SV9 )
| ~ ( sK2_SY38 @ SV4 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(76,plain,
! [SV2: a,SV8: a,SV5: a] :
( ( ( sK1_Xp @ SV5 @ SV8 )
= $false )
| ( ( sK1_Xp @ SV2 @ SV5 )
= $false )
| ( ( sK1_Xp @ SV2 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(77,plain,
! [SV12: a,SV10: a] :
( ( ( sK1_Xp @ SV10 @ SV12 )
= $false )
| ( ( sK3_SY75 @ SV10 @ ( sK4_SY123 @ SV10 ) @ ( sK5_SY146 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(78,plain,
( ( sK3_SY75 @ sK6_SY153 @ ( sK5_SY146 @ sK6_SY153 ) @ ( sK4_SY123 @ sK7_SY155 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(79,plain,
! [SV14: a] :
( ( ! [SY184: a] :
~ ( sK1_Xp @ SV14 @ SY184 )
| ! [SY185: b,SY186: b] :
( ~ ( sK3_SY75 @ SV14 @ SY185 @ SY186 )
| ( sK3_SY75 @ SV14 @ SY186 @ SY185 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(80,plain,
! [SV15: a] :
( ( ! [SY187: a] :
~ ( sK1_Xp @ SV15 @ SY187 )
| ! [SY188: b,SY189: b,SY190: b] :
( ~ ( sK3_SY75 @ SV15 @ SY188 @ SY189 )
| ~ ( sK3_SY75 @ SV15 @ SY189 @ SY190 )
| ( sK3_SY75 @ SV15 @ SY188 @ SY190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(81,plain,
! [SV13: a,SV11: a] :
( ( ( sK1_Xp @ SV11 @ SV13 )
= $false )
| ( ( ( sK3_SY75 @ SV11 )
= ( sK3_SY75 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(82,plain,
! [SV9: a,SV4: a] :
( ( ( sK1_Xp @ SV4 @ SV9 )
= $false )
| ( ( ~ ( ~ ( sK1_Xp @ SV4 @ SV9 )
| ~ ( sK2_SY38 @ SV4 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(83,plain,
! [SV9: a,SV4: a] :
( ( ( sK2_SY38 @ SV4 @ SV9 )
= $false )
| ( ( ~ ( ~ ( sK1_Xp @ SV4 @ SV9 )
| ~ ( sK2_SY38 @ SV4 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(84,plain,
! [SV14: a] :
( ( ( ! [SY184: a] :
~ ( sK1_Xp @ SV14 @ SY184 ) )
= $true )
| ( ( ! [SY185: b,SY186: b] :
( ~ ( sK3_SY75 @ SV14 @ SY185 @ SY186 )
| ( sK3_SY75 @ SV14 @ SY186 @ SY185 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(85,plain,
! [SV15: a] :
( ( ( ! [SY187: a] :
~ ( sK1_Xp @ SV15 @ SY187 ) )
= $true )
| ( ( ! [SY188: b,SY189: b,SY190: b] :
( ~ ( sK3_SY75 @ SV15 @ SY188 @ SY189 )
| ~ ( sK3_SY75 @ SV15 @ SY189 @ SY190 )
| ( sK3_SY75 @ SV15 @ SY188 @ SY190 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(86,plain,
! [SV13: a,SV11: a] :
( ( ( ! [SV16: b] :
( ( sK3_SY75 @ SV11 @ SV16 )
= ( sK3_SY75 @ SV13 @ SV16 ) ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[81]) ).
thf(87,plain,
! [SV13: a,SV11: a] :
( ( ( ( sK3_SY75 @ SV11 )
= ( sK3_SY75 @ SV13 ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[81]) ).
thf(88,plain,
! [SV9: a,SV4: a] :
( ( ( ~ ( sK1_Xp @ SV4 @ SV9 )
| ~ ( sK2_SY38 @ SV4 @ SV9 ) )
= $false )
| ( ( sK1_Xp @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(89,plain,
! [SV9: a,SV4: a] :
( ( ( ~ ( sK1_Xp @ SV4 @ SV9 )
| ~ ( sK2_SY38 @ SV4 @ SV9 ) )
= $false )
| ( ( sK2_SY38 @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(90,plain,
! [SV17: a,SV14: a] :
( ( ( ~ ( sK1_Xp @ SV14 @ SV17 ) )
= $true )
| ( ( ! [SY185: b,SY186: b] :
( ~ ( sK3_SY75 @ SV14 @ SY185 @ SY186 )
| ( sK3_SY75 @ SV14 @ SY186 @ SY185 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(91,plain,
! [SV18: a,SV15: a] :
( ( ( ~ ( sK1_Xp @ SV15 @ SV18 ) )
= $true )
| ( ( ! [SY188: b,SY189: b,SY190: b] :
( ~ ( sK3_SY75 @ SV15 @ SY188 @ SY189 )
| ~ ( sK3_SY75 @ SV15 @ SY189 @ SY190 )
| ( sK3_SY75 @ SV15 @ SY188 @ SY190 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(92,plain,
! [SV13: a,SV19: b,SV11: a] :
( ( ( ( sK3_SY75 @ SV11 @ SV19 )
= ( sK3_SY75 @ SV13 @ SV19 ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(93,plain,
! [SV9: a,SV4: a] :
( ( ( ~ ( sK1_Xp @ SV4 @ SV9 ) )
= $false )
| ( ( sK1_Xp @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(94,plain,
! [SV9: a,SV4: a] :
( ( ( ~ ( sK2_SY38 @ SV4 @ SV9 ) )
= $false )
| ( ( sK1_Xp @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(95,plain,
! [SV9: a,SV4: a] :
( ( ( ~ ( sK1_Xp @ SV4 @ SV9 ) )
= $false )
| ( ( sK2_SY38 @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(96,plain,
! [SV9: a,SV4: a] :
( ( ( ~ ( sK2_SY38 @ SV4 @ SV9 ) )
= $false )
| ( ( sK2_SY38 @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(97,plain,
! [SV17: a,SV14: a] :
( ( ( sK1_Xp @ SV14 @ SV17 )
= $false )
| ( ( ! [SY185: b,SY186: b] :
( ~ ( sK3_SY75 @ SV14 @ SY185 @ SY186 )
| ( sK3_SY75 @ SV14 @ SY186 @ SY185 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(98,plain,
! [SV18: a,SV15: a] :
( ( ( sK1_Xp @ SV15 @ SV18 )
= $false )
| ( ( ! [SY188: b,SY189: b,SY190: b] :
( ~ ( sK3_SY75 @ SV15 @ SY188 @ SY189 )
| ~ ( sK3_SY75 @ SV15 @ SY189 @ SY190 )
| ( sK3_SY75 @ SV15 @ SY188 @ SY190 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(99,plain,
! [SV13: a,SV19: b,SV11: a] :
( ( ( ! [SV20: b] :
( ( sK3_SY75 @ SV11 @ SV19 @ SV20 )
= ( sK3_SY75 @ SV13 @ SV19 @ SV20 ) ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[92]) ).
thf(100,plain,
! [SV13: a,SV19: b,SV11: a] :
( ( ( ( sK3_SY75 @ SV11 @ SV19 )
= ( sK3_SY75 @ SV13 @ SV19 ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[92]) ).
thf(101,plain,
! [SV9: a,SV4: a] :
( ( ( sK1_Xp @ SV4 @ SV9 )
= $true )
| ( ( sK1_Xp @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(102,plain,
! [SV9: a,SV4: a] :
( ( ( sK2_SY38 @ SV4 @ SV9 )
= $true )
| ( ( sK1_Xp @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(103,plain,
! [SV9: a,SV4: a] :
( ( ( sK1_Xp @ SV4 @ SV9 )
= $true )
| ( ( sK2_SY38 @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(104,plain,
! [SV9: a,SV4: a] :
( ( ( sK2_SY38 @ SV4 @ SV9 )
= $true )
| ( ( sK2_SY38 @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(105,plain,
! [SV17: a,SV21: b,SV14: a] :
( ( ( ! [SY191: b] :
( ~ ( sK3_SY75 @ SV14 @ SV21 @ SY191 )
| ( sK3_SY75 @ SV14 @ SY191 @ SV21 ) ) )
= $true )
| ( ( sK1_Xp @ SV14 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(106,plain,
! [SV18: a,SV22: b,SV15: a] :
( ( ( ! [SY192: b,SY193: b] :
( ~ ( sK3_SY75 @ SV15 @ SV22 @ SY192 )
| ~ ( sK3_SY75 @ SV15 @ SY192 @ SY193 )
| ( sK3_SY75 @ SV15 @ SV22 @ SY193 ) ) )
= $true )
| ( ( sK1_Xp @ SV15 @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(107,plain,
! [SV13: a,SV23: b,SV19: b,SV11: a] :
( ( ( ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
= ( sK3_SY75 @ SV13 @ SV19 @ SV23 ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(108,plain,
! [SV17: a,SV24: b,SV21: b,SV14: a] :
( ( ( ~ ( sK3_SY75 @ SV14 @ SV21 @ SV24 )
| ( sK3_SY75 @ SV14 @ SV24 @ SV21 ) )
= $true )
| ( ( sK1_Xp @ SV14 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(109,plain,
! [SV18: a,SV25: b,SV22: b,SV15: a] :
( ( ( ! [SY194: b] :
( ~ ( sK3_SY75 @ SV15 @ SV22 @ SV25 )
| ~ ( sK3_SY75 @ SV15 @ SV25 @ SY194 )
| ( sK3_SY75 @ SV15 @ SV22 @ SY194 ) ) )
= $true )
| ( ( sK1_Xp @ SV15 @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(110,plain,
! [SV13: a,SV23: b,SV19: b,SV11: a] :
( ( ( ~ ( ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
| ( sK3_SY75 @ SV13 @ SV19 @ SV23 ) )
| ~ ( ~ ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
| ~ ( sK3_SY75 @ SV13 @ SV19 @ SV23 ) ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[107]) ).
thf(111,plain,
! [SV13: a,SV23: b,SV19: b,SV11: a] :
( ( ( ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
= ( sK3_SY75 @ SV13 @ SV19 @ SV23 ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[107]) ).
thf(112,plain,
! [SV17: a,SV24: b,SV21: b,SV14: a] :
( ( ( ~ ( sK3_SY75 @ SV14 @ SV21 @ SV24 ) )
= $true )
| ( ( sK3_SY75 @ SV14 @ SV24 @ SV21 )
= $true )
| ( ( sK1_Xp @ SV14 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(113,plain,
! [SV18: a,SV26: b,SV25: b,SV22: b,SV15: a] :
( ( ( ~ ( sK3_SY75 @ SV15 @ SV22 @ SV25 )
| ~ ( sK3_SY75 @ SV15 @ SV25 @ SV26 )
| ( sK3_SY75 @ SV15 @ SV22 @ SV26 ) )
= $true )
| ( ( sK1_Xp @ SV15 @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(114,plain,
! [SV13: a,SV23: b,SV19: b,SV11: a] :
( ( ( ~ ( ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
| ( sK3_SY75 @ SV13 @ SV19 @ SV23 ) ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
| ~ ( sK3_SY75 @ SV13 @ SV19 @ SV23 ) ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(115,plain,
! [SV17: a,SV24: b,SV21: b,SV14: a] :
( ( ( sK3_SY75 @ SV14 @ SV21 @ SV24 )
= $false )
| ( ( sK3_SY75 @ SV14 @ SV24 @ SV21 )
= $true )
| ( ( sK1_Xp @ SV14 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(116,plain,
! [SV18: a,SV26: b,SV25: b,SV22: b,SV15: a] :
( ( ( ~ ( sK3_SY75 @ SV15 @ SV22 @ SV25 )
| ~ ( sK3_SY75 @ SV15 @ SV25 @ SV26 ) )
= $true )
| ( ( sK3_SY75 @ SV15 @ SV22 @ SV26 )
= $true )
| ( ( sK1_Xp @ SV15 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(117,plain,
! [SV13: a,SV23: b,SV19: b,SV11: a] :
( ( ( ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
| ( sK3_SY75 @ SV13 @ SV19 @ SV23 ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
| ~ ( sK3_SY75 @ SV13 @ SV19 @ SV23 ) ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(118,plain,
! [SV18: a,SV26: b,SV25: b,SV22: b,SV15: a] :
( ( ( ~ ( sK3_SY75 @ SV15 @ SV22 @ SV25 ) )
= $true )
| ( ( ~ ( sK3_SY75 @ SV15 @ SV25 @ SV26 ) )
= $true )
| ( ( sK3_SY75 @ SV15 @ SV22 @ SV26 )
= $true )
| ( ( sK1_Xp @ SV15 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(119,plain,
! [SV13: a,SV23: b,SV19: b,SV11: a] :
( ( ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
= $false )
| ( ( ~ ( ~ ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
| ~ ( sK3_SY75 @ SV13 @ SV19 @ SV23 ) ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(120,plain,
! [SV11: a,SV23: b,SV19: b,SV13: a] :
( ( ( sK3_SY75 @ SV13 @ SV19 @ SV23 )
= $false )
| ( ( ~ ( ~ ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
| ~ ( sK3_SY75 @ SV13 @ SV19 @ SV23 ) ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(121,plain,
! [SV18: a,SV26: b,SV25: b,SV22: b,SV15: a] :
( ( ( sK3_SY75 @ SV15 @ SV22 @ SV25 )
= $false )
| ( ( ~ ( sK3_SY75 @ SV15 @ SV25 @ SV26 ) )
= $true )
| ( ( sK3_SY75 @ SV15 @ SV22 @ SV26 )
= $true )
| ( ( sK1_Xp @ SV15 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(122,plain,
! [SV13: a,SV23: b,SV19: b,SV11: a] :
( ( ( ~ ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
| ~ ( sK3_SY75 @ SV13 @ SV19 @ SV23 ) )
= $false )
| ( ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(123,plain,
! [SV13: a,SV23: b,SV19: b,SV11: a] :
( ( ( ~ ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
| ~ ( sK3_SY75 @ SV13 @ SV19 @ SV23 ) )
= $false )
| ( ( sK3_SY75 @ SV13 @ SV19 @ SV23 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(124,plain,
! [SV18: a,SV22: b,SV26: b,SV25: b,SV15: a] :
( ( ( sK3_SY75 @ SV15 @ SV25 @ SV26 )
= $false )
| ( ( sK3_SY75 @ SV15 @ SV22 @ SV25 )
= $false )
| ( ( sK3_SY75 @ SV15 @ SV22 @ SV26 )
= $true )
| ( ( sK1_Xp @ SV15 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(125,plain,
! [SV13: a,SV23: b,SV19: b,SV11: a] :
( ( ( ~ ( sK3_SY75 @ SV11 @ SV19 @ SV23 ) )
= $false )
| ( ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(126,plain,
! [SV11: a,SV23: b,SV19: b,SV13: a] :
( ( ( ~ ( sK3_SY75 @ SV13 @ SV19 @ SV23 ) )
= $false )
| ( ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(127,plain,
! [SV13: a,SV23: b,SV19: b,SV11: a] :
( ( ( ~ ( sK3_SY75 @ SV11 @ SV19 @ SV23 ) )
= $false )
| ( ( sK3_SY75 @ SV13 @ SV19 @ SV23 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(128,plain,
! [SV11: a,SV23: b,SV19: b,SV13: a] :
( ( ( ~ ( sK3_SY75 @ SV13 @ SV19 @ SV23 ) )
= $false )
| ( ( sK3_SY75 @ SV13 @ SV19 @ SV23 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(129,plain,
! [SV13: a,SV23: b,SV19: b,SV11: a] :
( ( ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
= $true )
| ( ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(130,plain,
! [SV11: a,SV23: b,SV19: b,SV13: a] :
( ( ( sK3_SY75 @ SV13 @ SV19 @ SV23 )
= $true )
| ( ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(131,plain,
! [SV13: a,SV23: b,SV19: b,SV11: a] :
( ( ( sK3_SY75 @ SV11 @ SV19 @ SV23 )
= $true )
| ( ( sK3_SY75 @ SV13 @ SV19 @ SV23 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(132,plain,
! [SV11: a,SV23: b,SV19: b,SV13: a] :
( ( ( sK3_SY75 @ SV13 @ SV19 @ SV23 )
= $true )
| ( ( sK3_SY75 @ SV13 @ SV19 @ SV23 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(133,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[31,132,131,130,129,124,115,111,104,103,102,101,100,87,78,77,76,70,59,53,44]) ).
thf(134,plain,
( ( ! [SY116: a] :
( ! [SY117: a] :
~ ( sK1_Xp @ SY116 @ SY117 )
| ! [SY118: b,SY119: b] :
( ~ ( sK3_SY75 @ SY116 @ SY118 @ SY119 )
| ( sK3_SY75 @ SY116 @ SY119 @ SY118 ) ) )
& ! [SY116: a] :
( ! [SY117: a] :
~ ( sK1_Xp @ SY116 @ SY117 )
| ! [SY120: b,SY121: b,SY122: b] :
( ~ ( sK3_SY75 @ SY116 @ SY120 @ SY121 )
| ~ ( sK3_SY75 @ SY116 @ SY121 @ SY122 )
| ( sK3_SY75 @ SY116 @ SY120 @ SY122 ) ) )
& ! [SY116: a,SY117: a] :
( ~ ( sK1_Xp @ SY116 @ SY117 )
| ( ( sK3_SY75 @ SY116 )
= ( sK3_SY75 @ SY117 ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(135,plain,
( ( sK1_Xp = sK2_SY38 )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(136,plain,
( ( ! [SY42: a,SY43: a,SY44: a] :
( ~ ( sK1_Xp @ SY42 @ SY43 )
| ~ ( sK1_Xp @ SY43 @ SY44 )
| ( sK1_Xp @ SY42 @ SY44 ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(137,plain,
( ( ! [SY40: a,SY41: a] :
( ~ ( sK1_Xp @ SY40 @ SY41 )
| ( sK1_Xp @ SY41 @ SY40 ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(138,plain,
( ( ! [SY165: a,SY166: a] :
( ~ ( sK1_Xp @ SY165 @ SY166 )
| ( sK3_SY75 @ SY165 @ ( sK8_SY129 @ SY165 ) @ ( sK9_SY156 @ SY166 ) ) )
& ! [SY173: a,SY174: a] :
( ~ ( sK1_Xp @ SY173 @ SY174 )
| ( sK3_SY75 @ SY173 @ ( sK9_SY156 @ SY173 ) @ ( sK10_SY164 @ SY174 ) ) )
& ( sK1_Xp @ sK11_SY175 @ sK12_SY177 )
& ~ ( sK3_SY75 @ sK11_SY175 @ ( sK8_SY129 @ sK11_SY175 ) @ ( sK10_SY164 @ sK12_SY177 ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(139,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY75 @ SX0 @ ( sK8_SY129 @ SX0 ) @ ( sK9_SY156 @ SX1 ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY75 @ SX0 @ ( sK9_SY156 @ SX0 ) @ ( sK10_SY164 @ SX1 ) ) ) )
| ~ ~ ( ~ ( sK1_Xp @ sK11_SY175 @ sK12_SY177 )
| ~ ~ ( sK3_SY75 @ sK11_SY175 @ ( sK8_SY129 @ sK11_SY175 ) @ ( sK10_SY164 @ sK12_SY177 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(140,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY75 @ SX0 )
= ( sK3_SY75 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(141,plain,
( ( ! [SV27: a] :
( ( sK1_Xp @ SV27 )
= ( sK2_SY38 @ SV27 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[135]) ).
thf(142,plain,
( ( sK1_Xp = sK2_SY38 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[135]) ).
thf(143,plain,
! [SV28: a] :
( ( ! [SY195: a,SY196: a] :
( ~ ( sK1_Xp @ SV28 @ SY195 )
| ~ ( sK1_Xp @ SY195 @ SY196 )
| ( sK1_Xp @ SV28 @ SY196 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(144,plain,
! [SV29: a] :
( ( ! [SY197: a] :
( ~ ( sK1_Xp @ SV29 @ SY197 )
| ( sK1_Xp @ SY197 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(145,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY75 @ SX0 @ ( sK8_SY129 @ SX0 ) @ ( sK9_SY156 @ SX1 ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY75 @ SX0 @ ( sK9_SY156 @ SX0 ) @ ( sK10_SY164 @ SX1 ) ) ) )
| ~ ~ ( ~ ( sK1_Xp @ sK11_SY175 @ sK12_SY177 )
| ~ ~ ( sK3_SY75 @ sK11_SY175 @ ( sK8_SY129 @ sK11_SY175 ) @ ( sK10_SY164 @ sK12_SY177 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(146,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY75 @ SX0 )
= ( sK3_SY75 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(147,plain,
! [SV30: a] :
( ( ( sK1_Xp @ SV30 )
= ( sK2_SY38 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(148,plain,
! [SV31: a,SV28: a] :
( ( ! [SY198: a] :
( ~ ( sK1_Xp @ SV28 @ SV31 )
| ~ ( sK1_Xp @ SV31 @ SY198 )
| ( sK1_Xp @ SV28 @ SY198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(149,plain,
! [SV32: a,SV29: a] :
( ( ~ ( sK1_Xp @ SV29 @ SV32 )
| ( sK1_Xp @ SV32 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(150,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY75 @ SX0 @ ( sK8_SY129 @ SX0 ) @ ( sK9_SY156 @ SX1 ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY75 @ SX0 @ ( sK9_SY156 @ SX0 ) @ ( sK10_SY164 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(151,plain,
( ( ~ ~ ( ~ ( sK1_Xp @ sK11_SY175 @ sK12_SY177 )
| ~ ~ ( sK3_SY75 @ sK11_SY175 @ ( sK8_SY129 @ sK11_SY175 ) @ ( sK10_SY164 @ sK12_SY177 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(152,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[146]) ).
thf(153,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY75 @ SX0 )
= ( sK3_SY75 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[146]) ).
thf(154,plain,
! [SV30: a] :
( ( ! [SV33: a] :
( ( sK1_Xp @ SV30 @ SV33 )
= ( sK2_SY38 @ SV30 @ SV33 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[147]) ).
thf(155,plain,
! [SV30: a] :
( ( ( sK1_Xp @ SV30 )
= ( sK2_SY38 @ SV30 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[147]) ).
thf(156,plain,
! [SV34: a,SV31: a,SV28: a] :
( ( ~ ( sK1_Xp @ SV28 @ SV31 )
| ~ ( sK1_Xp @ SV31 @ SV34 )
| ( sK1_Xp @ SV28 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(157,plain,
! [SV32: a,SV29: a] :
( ( ( ~ ( sK1_Xp @ SV29 @ SV32 ) )
= $true )
| ( ( sK1_Xp @ SV32 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(158,plain,
( ( ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY75 @ SX0 @ ( sK8_SY129 @ SX0 ) @ ( sK9_SY156 @ SX1 ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY75 @ SX0 @ ( sK9_SY156 @ SX0 ) @ ( sK10_SY164 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(159,plain,
( ( ~ ( ~ ( sK1_Xp @ sK11_SY175 @ sK12_SY177 )
| ~ ~ ( sK3_SY75 @ sK11_SY175 @ ( sK8_SY129 @ sK11_SY175 ) @ ( sK10_SY164 @ sK12_SY177 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(160,plain,
( ( ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(161,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY75 @ SX0 )
= ( sK3_SY75 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(162,plain,
! [SV35: a,SV30: a] :
( ( ( sK1_Xp @ SV30 @ SV35 )
= ( sK2_SY38 @ SV30 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(163,plain,
! [SV34: a,SV31: a,SV28: a] :
( ( ( ~ ( sK1_Xp @ SV28 @ SV31 )
| ~ ( sK1_Xp @ SV31 @ SV34 ) )
= $true )
| ( ( sK1_Xp @ SV28 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(164,plain,
! [SV32: a,SV29: a] :
( ( ( sK1_Xp @ SV29 @ SV32 )
= $false )
| ( ( sK1_Xp @ SV32 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(165,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY75 @ SX0 @ ( sK8_SY129 @ SX0 ) @ ( sK9_SY156 @ SX1 ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY75 @ SX0 @ ( sK9_SY156 @ SX0 ) @ ( sK10_SY164 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(166,plain,
( ( ~ ( sK1_Xp @ sK11_SY175 @ sK12_SY177 )
| ~ ~ ( sK3_SY75 @ sK11_SY175 @ ( sK8_SY129 @ sK11_SY175 ) @ ( sK10_SY164 @ sK12_SY177 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(167,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(168,plain,
! [SV36: a] :
( ( ! [SY199: a] :
( ~ ( sK1_Xp @ SV36 @ SY199 )
| ( ( sK3_SY75 @ SV36 )
= ( sK3_SY75 @ SY199 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(169,plain,
! [SV35: a,SV30: a] :
( ( ~ ( ( sK1_Xp @ SV30 @ SV35 )
| ( sK2_SY38 @ SV30 @ SV35 ) )
| ~ ( ~ ( sK1_Xp @ SV30 @ SV35 )
| ~ ( sK2_SY38 @ SV30 @ SV35 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[162]) ).
thf(170,plain,
! [SV35: a,SV30: a] :
( ( ( sK1_Xp @ SV30 @ SV35 )
= ( sK2_SY38 @ SV30 @ SV35 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[162]) ).
thf(171,plain,
! [SV34: a,SV31: a,SV28: a] :
( ( ( ~ ( sK1_Xp @ SV28 @ SV31 ) )
= $true )
| ( ( ~ ( sK1_Xp @ SV31 @ SV34 ) )
= $true )
| ( ( sK1_Xp @ SV28 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(172,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY75 @ SX0 @ ( sK8_SY129 @ SX0 ) @ ( sK9_SY156 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(173,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY75 @ SX0 @ ( sK9_SY156 @ SX0 ) @ ( sK10_SY164 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(174,plain,
( ( ~ ( sK1_Xp @ sK11_SY175 @ sK12_SY177 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(175,plain,
( ( ~ ~ ( sK3_SY75 @ sK11_SY175 @ ( sK8_SY129 @ sK11_SY175 ) @ ( sK10_SY164 @ sK12_SY177 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(176,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(177,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(178,plain,
! [SV37: a,SV36: a] :
( ( ~ ( sK1_Xp @ SV36 @ SV37 )
| ( ( sK3_SY75 @ SV36 )
= ( sK3_SY75 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(179,plain,
! [SV35: a,SV30: a] :
( ( ( ~ ( ( sK1_Xp @ SV30 @ SV35 )
| ( sK2_SY38 @ SV30 @ SV35 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_Xp @ SV30 @ SV35 )
| ~ ( sK2_SY38 @ SV30 @ SV35 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(180,plain,
! [SV34: a,SV31: a,SV28: a] :
( ( ( sK1_Xp @ SV28 @ SV31 )
= $false )
| ( ( ~ ( sK1_Xp @ SV31 @ SV34 ) )
= $true )
| ( ( sK1_Xp @ SV28 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(181,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY75 @ SX0 @ ( sK8_SY129 @ SX0 ) @ ( sK9_SY156 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(182,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY75 @ SX0 @ ( sK9_SY156 @ SX0 ) @ ( sK10_SY164 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(183,plain,
( ( sK1_Xp @ sK11_SY175 @ sK12_SY177 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(184,plain,
( ( ~ ( sK3_SY75 @ sK11_SY175 @ ( sK8_SY129 @ sK11_SY175 ) @ ( sK10_SY164 @ sK12_SY177 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(185,plain,
( ( ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(186,plain,
( ( ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(187,plain,
! [SV37: a,SV36: a] :
( ( ( ~ ( sK1_Xp @ SV36 @ SV37 ) )
= $true )
| ( ( ( sK3_SY75 @ SV36 )
= ( sK3_SY75 @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(188,plain,
! [SV35: a,SV30: a] :
( ( ( ( sK1_Xp @ SV30 @ SV35 )
| ( sK2_SY38 @ SV30 @ SV35 ) )
= $false )
| ( ( ~ ( ~ ( sK1_Xp @ SV30 @ SV35 )
| ~ ( sK2_SY38 @ SV30 @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(189,plain,
! [SV28: a,SV34: a,SV31: a] :
( ( ( sK1_Xp @ SV31 @ SV34 )
= $false )
| ( ( sK1_Xp @ SV28 @ SV31 )
= $false )
| ( ( sK1_Xp @ SV28 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(190,plain,
! [SV38: a] :
( ( ! [SY200: a] :
( ~ ( sK1_Xp @ SV38 @ SY200 )
| ( sK3_SY75 @ SV38 @ ( sK8_SY129 @ SV38 ) @ ( sK9_SY156 @ SY200 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(191,plain,
! [SV39: a] :
( ( ! [SY201: a] :
( ~ ( sK1_Xp @ SV39 @ SY201 )
| ( sK3_SY75 @ SV39 @ ( sK9_SY156 @ SV39 ) @ ( sK10_SY164 @ SY201 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(192,plain,
( ( sK3_SY75 @ sK11_SY175 @ ( sK8_SY129 @ sK11_SY175 ) @ ( sK10_SY164 @ sK12_SY177 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(193,plain,
! [SV40: a] :
( ( ! [SY202: a] :
~ ( sK1_Xp @ SV40 @ SY202 )
| ! [SY203: b,SY204: b] :
( ~ ( sK3_SY75 @ SV40 @ SY203 @ SY204 )
| ( sK3_SY75 @ SV40 @ SY204 @ SY203 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(194,plain,
! [SV41: a] :
( ( ! [SY205: a] :
~ ( sK1_Xp @ SV41 @ SY205 )
| ! [SY206: b,SY207: b,SY208: b] :
( ~ ( sK3_SY75 @ SV41 @ SY206 @ SY207 )
| ~ ( sK3_SY75 @ SV41 @ SY207 @ SY208 )
| ( sK3_SY75 @ SV41 @ SY206 @ SY208 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(195,plain,
! [SV37: a,SV36: a] :
( ( ( sK1_Xp @ SV36 @ SV37 )
= $false )
| ( ( ( sK3_SY75 @ SV36 )
= ( sK3_SY75 @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(196,plain,
! [SV35: a,SV30: a] :
( ( ( sK1_Xp @ SV30 @ SV35 )
= $false )
| ( ( ~ ( ~ ( sK1_Xp @ SV30 @ SV35 )
| ~ ( sK2_SY38 @ SV30 @ SV35 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(197,plain,
! [SV35: a,SV30: a] :
( ( ( sK2_SY38 @ SV30 @ SV35 )
= $false )
| ( ( ~ ( ~ ( sK1_Xp @ SV30 @ SV35 )
| ~ ( sK2_SY38 @ SV30 @ SV35 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(198,plain,
! [SV42: a,SV38: a] :
( ( ~ ( sK1_Xp @ SV38 @ SV42 )
| ( sK3_SY75 @ SV38 @ ( sK8_SY129 @ SV38 ) @ ( sK9_SY156 @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(199,plain,
! [SV43: a,SV39: a] :
( ( ~ ( sK1_Xp @ SV39 @ SV43 )
| ( sK3_SY75 @ SV39 @ ( sK9_SY156 @ SV39 ) @ ( sK10_SY164 @ SV43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(200,plain,
! [SV40: a] :
( ( ( ! [SY202: a] :
~ ( sK1_Xp @ SV40 @ SY202 ) )
= $true )
| ( ( ! [SY203: b,SY204: b] :
( ~ ( sK3_SY75 @ SV40 @ SY203 @ SY204 )
| ( sK3_SY75 @ SV40 @ SY204 @ SY203 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(201,plain,
! [SV41: a] :
( ( ( ! [SY205: a] :
~ ( sK1_Xp @ SV41 @ SY205 ) )
= $true )
| ( ( ! [SY206: b,SY207: b,SY208: b] :
( ~ ( sK3_SY75 @ SV41 @ SY206 @ SY207 )
| ~ ( sK3_SY75 @ SV41 @ SY207 @ SY208 )
| ( sK3_SY75 @ SV41 @ SY206 @ SY208 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(202,plain,
! [SV37: a,SV36: a] :
( ( ( ! [SV44: b] :
( ( sK3_SY75 @ SV36 @ SV44 )
= ( sK3_SY75 @ SV37 @ SV44 ) ) )
= $true )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[195]) ).
thf(203,plain,
! [SV37: a,SV36: a] :
( ( ( ( sK3_SY75 @ SV36 )
= ( sK3_SY75 @ SV37 ) )
= $true )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[195]) ).
thf(204,plain,
! [SV35: a,SV30: a] :
( ( ( ~ ( sK1_Xp @ SV30 @ SV35 )
| ~ ( sK2_SY38 @ SV30 @ SV35 ) )
= $false )
| ( ( sK1_Xp @ SV30 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(205,plain,
! [SV35: a,SV30: a] :
( ( ( ~ ( sK1_Xp @ SV30 @ SV35 )
| ~ ( sK2_SY38 @ SV30 @ SV35 ) )
= $false )
| ( ( sK2_SY38 @ SV30 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(206,plain,
! [SV42: a,SV38: a] :
( ( ( ~ ( sK1_Xp @ SV38 @ SV42 ) )
= $true )
| ( ( sK3_SY75 @ SV38 @ ( sK8_SY129 @ SV38 ) @ ( sK9_SY156 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(207,plain,
! [SV43: a,SV39: a] :
( ( ( ~ ( sK1_Xp @ SV39 @ SV43 ) )
= $true )
| ( ( sK3_SY75 @ SV39 @ ( sK9_SY156 @ SV39 ) @ ( sK10_SY164 @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(208,plain,
! [SV45: a,SV40: a] :
( ( ( ~ ( sK1_Xp @ SV40 @ SV45 ) )
= $true )
| ( ( ! [SY203: b,SY204: b] :
( ~ ( sK3_SY75 @ SV40 @ SY203 @ SY204 )
| ( sK3_SY75 @ SV40 @ SY204 @ SY203 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(209,plain,
! [SV46: a,SV41: a] :
( ( ( ~ ( sK1_Xp @ SV41 @ SV46 ) )
= $true )
| ( ( ! [SY206: b,SY207: b,SY208: b] :
( ~ ( sK3_SY75 @ SV41 @ SY206 @ SY207 )
| ~ ( sK3_SY75 @ SV41 @ SY207 @ SY208 )
| ( sK3_SY75 @ SV41 @ SY206 @ SY208 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(210,plain,
! [SV37: a,SV47: b,SV36: a] :
( ( ( ( sK3_SY75 @ SV36 @ SV47 )
= ( sK3_SY75 @ SV37 @ SV47 ) )
= $true )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(211,plain,
! [SV35: a,SV30: a] :
( ( ( ~ ( sK1_Xp @ SV30 @ SV35 ) )
= $false )
| ( ( sK1_Xp @ SV30 @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(212,plain,
! [SV35: a,SV30: a] :
( ( ( ~ ( sK2_SY38 @ SV30 @ SV35 ) )
= $false )
| ( ( sK1_Xp @ SV30 @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(213,plain,
! [SV35: a,SV30: a] :
( ( ( ~ ( sK1_Xp @ SV30 @ SV35 ) )
= $false )
| ( ( sK2_SY38 @ SV30 @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(214,plain,
! [SV35: a,SV30: a] :
( ( ( ~ ( sK2_SY38 @ SV30 @ SV35 ) )
= $false )
| ( ( sK2_SY38 @ SV30 @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(215,plain,
! [SV42: a,SV38: a] :
( ( ( sK1_Xp @ SV38 @ SV42 )
= $false )
| ( ( sK3_SY75 @ SV38 @ ( sK8_SY129 @ SV38 ) @ ( sK9_SY156 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(216,plain,
! [SV43: a,SV39: a] :
( ( ( sK1_Xp @ SV39 @ SV43 )
= $false )
| ( ( sK3_SY75 @ SV39 @ ( sK9_SY156 @ SV39 ) @ ( sK10_SY164 @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(217,plain,
! [SV45: a,SV40: a] :
( ( ( sK1_Xp @ SV40 @ SV45 )
= $false )
| ( ( ! [SY203: b,SY204: b] :
( ~ ( sK3_SY75 @ SV40 @ SY203 @ SY204 )
| ( sK3_SY75 @ SV40 @ SY204 @ SY203 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(218,plain,
! [SV46: a,SV41: a] :
( ( ( sK1_Xp @ SV41 @ SV46 )
= $false )
| ( ( ! [SY206: b,SY207: b,SY208: b] :
( ~ ( sK3_SY75 @ SV41 @ SY206 @ SY207 )
| ~ ( sK3_SY75 @ SV41 @ SY207 @ SY208 )
| ( sK3_SY75 @ SV41 @ SY206 @ SY208 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(219,plain,
! [SV37: a,SV47: b,SV36: a] :
( ( ( ! [SV48: b] :
( ( sK3_SY75 @ SV36 @ SV47 @ SV48 )
= ( sK3_SY75 @ SV37 @ SV47 @ SV48 ) ) )
= $true )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[210]) ).
thf(220,plain,
! [SV37: a,SV47: b,SV36: a] :
( ( ( ( sK3_SY75 @ SV36 @ SV47 )
= ( sK3_SY75 @ SV37 @ SV47 ) )
= $true )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[210]) ).
thf(221,plain,
! [SV35: a,SV30: a] :
( ( ( sK1_Xp @ SV30 @ SV35 )
= $true )
| ( ( sK1_Xp @ SV30 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(222,plain,
! [SV35: a,SV30: a] :
( ( ( sK2_SY38 @ SV30 @ SV35 )
= $true )
| ( ( sK1_Xp @ SV30 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(223,plain,
! [SV35: a,SV30: a] :
( ( ( sK1_Xp @ SV30 @ SV35 )
= $true )
| ( ( sK2_SY38 @ SV30 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(224,plain,
! [SV35: a,SV30: a] :
( ( ( sK2_SY38 @ SV30 @ SV35 )
= $true )
| ( ( sK2_SY38 @ SV30 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(225,plain,
! [SV45: a,SV49: b,SV40: a] :
( ( ( ! [SY209: b] :
( ~ ( sK3_SY75 @ SV40 @ SV49 @ SY209 )
| ( sK3_SY75 @ SV40 @ SY209 @ SV49 ) ) )
= $true )
| ( ( sK1_Xp @ SV40 @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(226,plain,
! [SV46: a,SV50: b,SV41: a] :
( ( ( ! [SY210: b,SY211: b] :
( ~ ( sK3_SY75 @ SV41 @ SV50 @ SY210 )
| ~ ( sK3_SY75 @ SV41 @ SY210 @ SY211 )
| ( sK3_SY75 @ SV41 @ SV50 @ SY211 ) ) )
= $true )
| ( ( sK1_Xp @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(227,plain,
! [SV37: a,SV51: b,SV47: b,SV36: a] :
( ( ( ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
= ( sK3_SY75 @ SV37 @ SV47 @ SV51 ) )
= $true )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(228,plain,
! [SV45: a,SV52: b,SV49: b,SV40: a] :
( ( ( ~ ( sK3_SY75 @ SV40 @ SV49 @ SV52 )
| ( sK3_SY75 @ SV40 @ SV52 @ SV49 ) )
= $true )
| ( ( sK1_Xp @ SV40 @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(229,plain,
! [SV46: a,SV53: b,SV50: b,SV41: a] :
( ( ( ! [SY212: b] :
( ~ ( sK3_SY75 @ SV41 @ SV50 @ SV53 )
| ~ ( sK3_SY75 @ SV41 @ SV53 @ SY212 )
| ( sK3_SY75 @ SV41 @ SV50 @ SY212 ) ) )
= $true )
| ( ( sK1_Xp @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(230,plain,
! [SV37: a,SV51: b,SV47: b,SV36: a] :
( ( ( ~ ( ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
| ( sK3_SY75 @ SV37 @ SV47 @ SV51 ) )
| ~ ( ~ ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
| ~ ( sK3_SY75 @ SV37 @ SV47 @ SV51 ) ) )
= $true )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[227]) ).
thf(231,plain,
! [SV37: a,SV51: b,SV47: b,SV36: a] :
( ( ( ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
= ( sK3_SY75 @ SV37 @ SV47 @ SV51 ) )
= $true )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[227]) ).
thf(232,plain,
! [SV45: a,SV52: b,SV49: b,SV40: a] :
( ( ( ~ ( sK3_SY75 @ SV40 @ SV49 @ SV52 ) )
= $true )
| ( ( sK3_SY75 @ SV40 @ SV52 @ SV49 )
= $true )
| ( ( sK1_Xp @ SV40 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(233,plain,
! [SV46: a,SV54: b,SV53: b,SV50: b,SV41: a] :
( ( ( ~ ( sK3_SY75 @ SV41 @ SV50 @ SV53 )
| ~ ( sK3_SY75 @ SV41 @ SV53 @ SV54 )
| ( sK3_SY75 @ SV41 @ SV50 @ SV54 ) )
= $true )
| ( ( sK1_Xp @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(234,plain,
! [SV37: a,SV51: b,SV47: b,SV36: a] :
( ( ( ~ ( ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
| ( sK3_SY75 @ SV37 @ SV47 @ SV51 ) ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
| ~ ( sK3_SY75 @ SV37 @ SV47 @ SV51 ) ) )
= $true )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(235,plain,
! [SV45: a,SV52: b,SV49: b,SV40: a] :
( ( ( sK3_SY75 @ SV40 @ SV49 @ SV52 )
= $false )
| ( ( sK3_SY75 @ SV40 @ SV52 @ SV49 )
= $true )
| ( ( sK1_Xp @ SV40 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(236,plain,
! [SV46: a,SV54: b,SV53: b,SV50: b,SV41: a] :
( ( ( ~ ( sK3_SY75 @ SV41 @ SV50 @ SV53 )
| ~ ( sK3_SY75 @ SV41 @ SV53 @ SV54 ) )
= $true )
| ( ( sK3_SY75 @ SV41 @ SV50 @ SV54 )
= $true )
| ( ( sK1_Xp @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(237,plain,
! [SV37: a,SV51: b,SV47: b,SV36: a] :
( ( ( ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
| ( sK3_SY75 @ SV37 @ SV47 @ SV51 ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
| ~ ( sK3_SY75 @ SV37 @ SV47 @ SV51 ) ) )
= $true )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(238,plain,
! [SV46: a,SV54: b,SV53: b,SV50: b,SV41: a] :
( ( ( ~ ( sK3_SY75 @ SV41 @ SV50 @ SV53 ) )
= $true )
| ( ( ~ ( sK3_SY75 @ SV41 @ SV53 @ SV54 ) )
= $true )
| ( ( sK3_SY75 @ SV41 @ SV50 @ SV54 )
= $true )
| ( ( sK1_Xp @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(239,plain,
! [SV37: a,SV51: b,SV47: b,SV36: a] :
( ( ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
= $false )
| ( ( ~ ( ~ ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
| ~ ( sK3_SY75 @ SV37 @ SV47 @ SV51 ) ) )
= $true )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(240,plain,
! [SV36: a,SV51: b,SV47: b,SV37: a] :
( ( ( sK3_SY75 @ SV37 @ SV47 @ SV51 )
= $false )
| ( ( ~ ( ~ ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
| ~ ( sK3_SY75 @ SV37 @ SV47 @ SV51 ) ) )
= $true )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(241,plain,
! [SV46: a,SV54: b,SV53: b,SV50: b,SV41: a] :
( ( ( sK3_SY75 @ SV41 @ SV50 @ SV53 )
= $false )
| ( ( ~ ( sK3_SY75 @ SV41 @ SV53 @ SV54 ) )
= $true )
| ( ( sK3_SY75 @ SV41 @ SV50 @ SV54 )
= $true )
| ( ( sK1_Xp @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(242,plain,
! [SV37: a,SV51: b,SV47: b,SV36: a] :
( ( ( ~ ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
| ~ ( sK3_SY75 @ SV37 @ SV47 @ SV51 ) )
= $false )
| ( ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
= $false )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(243,plain,
! [SV37: a,SV51: b,SV47: b,SV36: a] :
( ( ( ~ ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
| ~ ( sK3_SY75 @ SV37 @ SV47 @ SV51 ) )
= $false )
| ( ( sK3_SY75 @ SV37 @ SV47 @ SV51 )
= $false )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(244,plain,
! [SV46: a,SV50: b,SV54: b,SV53: b,SV41: a] :
( ( ( sK3_SY75 @ SV41 @ SV53 @ SV54 )
= $false )
| ( ( sK3_SY75 @ SV41 @ SV50 @ SV53 )
= $false )
| ( ( sK3_SY75 @ SV41 @ SV50 @ SV54 )
= $true )
| ( ( sK1_Xp @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(245,plain,
! [SV37: a,SV51: b,SV47: b,SV36: a] :
( ( ( ~ ( sK3_SY75 @ SV36 @ SV47 @ SV51 ) )
= $false )
| ( ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
= $false )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(246,plain,
! [SV36: a,SV51: b,SV47: b,SV37: a] :
( ( ( ~ ( sK3_SY75 @ SV37 @ SV47 @ SV51 ) )
= $false )
| ( ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
= $false )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(247,plain,
! [SV37: a,SV51: b,SV47: b,SV36: a] :
( ( ( ~ ( sK3_SY75 @ SV36 @ SV47 @ SV51 ) )
= $false )
| ( ( sK3_SY75 @ SV37 @ SV47 @ SV51 )
= $false )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(248,plain,
! [SV36: a,SV51: b,SV47: b,SV37: a] :
( ( ( ~ ( sK3_SY75 @ SV37 @ SV47 @ SV51 ) )
= $false )
| ( ( sK3_SY75 @ SV37 @ SV47 @ SV51 )
= $false )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(249,plain,
! [SV37: a,SV51: b,SV47: b,SV36: a] :
( ( ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
= $true )
| ( ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
= $false )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(250,plain,
! [SV36: a,SV51: b,SV47: b,SV37: a] :
( ( ( sK3_SY75 @ SV37 @ SV47 @ SV51 )
= $true )
| ( ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
= $false )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(251,plain,
! [SV37: a,SV51: b,SV47: b,SV36: a] :
( ( ( sK3_SY75 @ SV36 @ SV47 @ SV51 )
= $true )
| ( ( sK3_SY75 @ SV37 @ SV47 @ SV51 )
= $false )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(252,plain,
! [SV36: a,SV51: b,SV47: b,SV37: a] :
( ( ( sK3_SY75 @ SV37 @ SV47 @ SV51 )
= $true )
| ( ( sK3_SY75 @ SV37 @ SV47 @ SV51 )
= $false )
| ( ( sK1_Xp @ SV36 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(253,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[142,252,251,250,249,244,235,231,224,223,222,221,220,216,215,203,192,189,183,170,164,155]) ).
thf(254,plain,
( ( ! [SY116: a] :
( ! [SY117: a] :
~ ( sK1_Xp @ SY116 @ SY117 )
| ! [SY118: b,SY119: b] :
( ~ ( sK3_SY75 @ SY116 @ SY118 @ SY119 )
| ( sK3_SY75 @ SY116 @ SY119 @ SY118 ) ) )
& ! [SY116: a] :
( ! [SY117: a] :
~ ( sK1_Xp @ SY116 @ SY117 )
| ! [SY120: b,SY121: b,SY122: b] :
( ~ ( sK3_SY75 @ SY116 @ SY120 @ SY121 )
| ~ ( sK3_SY75 @ SY116 @ SY121 @ SY122 )
| ( sK3_SY75 @ SY116 @ SY120 @ SY122 ) ) )
& ! [SY116: a,SY117: a] :
( ~ ( sK1_Xp @ SY116 @ SY117 )
| ( ( sK3_SY75 @ SY116 )
= ( sK3_SY75 @ SY117 ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(255,plain,
( ( sK1_Xp = sK2_SY38 )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(256,plain,
( ( ! [SY42: a,SY43: a,SY44: a] :
( ~ ( sK1_Xp @ SY42 @ SY43 )
| ~ ( sK1_Xp @ SY43 @ SY44 )
| ( sK1_Xp @ SY42 @ SY44 ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(257,plain,
( ( ! [SY40: a,SY41: a] :
( ~ ( sK1_Xp @ SY40 @ SY41 )
| ( sK1_Xp @ SY41 @ SY40 ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(258,plain,
( ( ( ( ^ [SY138: a > b,SY139: a > b] :
! [SY140: a,SY141: a] :
( ( sK1_Xp @ SY140 @ SY141 )
=> ( sK3_SY75 @ SY140 @ ( SY138 @ SY140 ) @ ( SY139 @ SY141 ) ) ) )
!= ( ^ [SY142: a > b,SY143: a > b] :
! [SY144: a,SY145: a] :
( ( sK2_SY38 @ SY144 @ SY145 )
=> ( sK3_SY75 @ SY144 @ ( SY142 @ SY144 ) @ ( SY143 @ SY145 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(259,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY75 @ SX0 )
= ( sK3_SY75 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[254]) ).
thf(260,plain,
( ( ( ( ^ [SX0: a > b,SX1: a > b] :
! [SX2: a,SX3: a] :
( ~ ( sK1_Xp @ SX2 @ SX3 )
| ( sK3_SY75 @ SX2 @ ( SX0 @ SX2 ) @ ( SX1 @ SX3 ) ) ) )
!= ( ^ [SX0: a > b,SX1: a > b] :
! [SX2: a,SX3: a] :
( ~ ( sK2_SY38 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX2 @ ( SX0 @ SX2 ) @ ( SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(261,plain,
( ( ! [SV55: a] :
( ( sK1_Xp @ SV55 )
= ( sK2_SY38 @ SV55 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[255]) ).
thf(262,plain,
( ( sK1_Xp = sK2_SY38 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[255]) ).
thf(263,plain,
! [SV56: a] :
( ( ! [SY213: a,SY214: a] :
( ~ ( sK1_Xp @ SV56 @ SY213 )
| ~ ( sK1_Xp @ SY213 @ SY214 )
| ( sK1_Xp @ SV56 @ SY214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(264,plain,
! [SV57: a] :
( ( ! [SY215: a] :
( ~ ( sK1_Xp @ SV57 @ SY215 )
| ( sK1_Xp @ SY215 @ SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(265,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY75 @ SX0 )
= ( sK3_SY75 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(266,plain,
( ( ( ^ [SX0: a > b,SX1: a > b] :
! [SX2: a,SX3: a] :
( ~ ( sK1_Xp @ SX2 @ SX3 )
| ( sK3_SY75 @ SX2 @ ( SX0 @ SX2 ) @ ( SX1 @ SX3 ) ) ) )
= ( ^ [SX0: a > b,SX1: a > b] :
! [SX2: a,SX3: a] :
( ~ ( sK2_SY38 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX2 @ ( SX0 @ SX2 ) @ ( SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(267,plain,
! [SV58: a] :
( ( ( sK1_Xp @ SV58 )
= ( sK2_SY38 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(268,plain,
! [SV59: a,SV56: a] :
( ( ! [SY216: a] :
( ~ ( sK1_Xp @ SV56 @ SV59 )
| ~ ( sK1_Xp @ SV59 @ SY216 )
| ( sK1_Xp @ SV56 @ SY216 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(269,plain,
! [SV60: a,SV57: a] :
( ( ~ ( sK1_Xp @ SV57 @ SV60 )
| ( sK1_Xp @ SV60 @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(270,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(271,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY75 @ SX0 )
= ( sK3_SY75 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(272,plain,
( ( ! [SV61: a > b] :
( ( ^ [SY217: a > b] :
! [SY218: a,SY219: a] :
( ~ ( sK1_Xp @ SY218 @ SY219 )
| ( sK3_SY75 @ SY218 @ ( SV61 @ SY218 ) @ ( SY217 @ SY219 ) ) ) )
= ( ^ [SY220: a > b] :
! [SY221: a,SY222: a] :
( ~ ( sK2_SY38 @ SY221 @ SY222 )
| ( sK3_SY75 @ SY221 @ ( SV61 @ SY221 ) @ ( SY220 @ SY222 ) ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[266]) ).
thf(273,plain,
( ( ( ^ [SX0: a > b,SX1: a > b] :
! [SX2: a,SX3: a] :
( ~ ( sK1_Xp @ SX2 @ SX3 )
| ( sK3_SY75 @ SX2 @ ( SX0 @ SX2 ) @ ( SX1 @ SX3 ) ) ) )
= ( ^ [SX0: a > b,SX1: a > b] :
! [SX2: a,SX3: a] :
( ~ ( sK2_SY38 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX2 @ ( SX0 @ SX2 ) @ ( SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[266]) ).
thf(274,plain,
! [SV58: a] :
( ( ! [SV62: a] :
( ( sK1_Xp @ SV58 @ SV62 )
= ( sK2_SY38 @ SV58 @ SV62 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[267]) ).
thf(275,plain,
! [SV58: a] :
( ( ( sK1_Xp @ SV58 )
= ( sK2_SY38 @ SV58 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[267]) ).
thf(276,plain,
! [SV63: a,SV59: a,SV56: a] :
( ( ~ ( sK1_Xp @ SV56 @ SV59 )
| ~ ( sK1_Xp @ SV59 @ SV63 )
| ( sK1_Xp @ SV56 @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(277,plain,
! [SV60: a,SV57: a] :
( ( ( ~ ( sK1_Xp @ SV57 @ SV60 ) )
= $true )
| ( ( sK1_Xp @ SV60 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(278,plain,
( ( ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(279,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY75 @ SX0 )
= ( sK3_SY75 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(280,plain,
( ( ( ^ [SY223: a > b] :
! [SY224: a,SY225: a] :
( ~ ( sK1_Xp @ SY224 @ SY225 )
| ( sK3_SY75 @ SY224 @ ( sK13_SV61 @ SY224 ) @ ( SY223 @ SY225 ) ) ) )
= ( ^ [SY226: a > b] :
! [SY227: a,SY228: a] :
( ~ ( sK2_SY38 @ SY227 @ SY228 )
| ( sK3_SY75 @ SY227 @ ( sK13_SV61 @ SY227 ) @ ( SY226 @ SY228 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[272]) ).
thf(281,plain,
! [SV64: a,SV58: a] :
( ( ( sK1_Xp @ SV58 @ SV64 )
= ( sK2_SY38 @ SV58 @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(282,plain,
! [SV63: a,SV59: a,SV56: a] :
( ( ( ~ ( sK1_Xp @ SV56 @ SV59 )
| ~ ( sK1_Xp @ SV59 @ SV63 ) )
= $true )
| ( ( sK1_Xp @ SV56 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(283,plain,
! [SV60: a,SV57: a] :
( ( ( sK1_Xp @ SV57 @ SV60 )
= $false )
| ( ( sK1_Xp @ SV60 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(284,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(285,plain,
! [SV65: a] :
( ( ! [SY229: a] :
( ~ ( sK1_Xp @ SV65 @ SY229 )
| ( ( sK3_SY75 @ SV65 )
= ( sK3_SY75 @ SY229 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(286,plain,
( ( ! [SV66: a > b] :
( ( ! [SY230: a,SY231: a] :
( ~ ( sK1_Xp @ SY230 @ SY231 )
| ( sK3_SY75 @ SY230 @ ( sK13_SV61 @ SY230 ) @ ( SV66 @ SY231 ) ) ) )
= ( ! [SY232: a,SY233: a] :
( ~ ( sK2_SY38 @ SY232 @ SY233 )
| ( sK3_SY75 @ SY232 @ ( sK13_SV61 @ SY232 ) @ ( SV66 @ SY233 ) ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[280]) ).
thf(287,plain,
( ( ( ^ [SY223: a > b] :
! [SY224: a,SY225: a] :
( ~ ( sK1_Xp @ SY224 @ SY225 )
| ( sK3_SY75 @ SY224 @ ( sK13_SV61 @ SY224 ) @ ( SY223 @ SY225 ) ) ) )
= ( ^ [SY226: a > b] :
! [SY227: a,SY228: a] :
( ~ ( sK2_SY38 @ SY227 @ SY228 )
| ( sK3_SY75 @ SY227 @ ( sK13_SV61 @ SY227 ) @ ( SY226 @ SY228 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[280]) ).
thf(288,plain,
! [SV64: a,SV58: a] :
( ( ~ ( ( sK1_Xp @ SV58 @ SV64 )
| ( sK2_SY38 @ SV58 @ SV64 ) )
| ~ ( ~ ( sK1_Xp @ SV58 @ SV64 )
| ~ ( sK2_SY38 @ SV58 @ SV64 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[281]) ).
thf(289,plain,
! [SV64: a,SV58: a] :
( ( ( sK1_Xp @ SV58 @ SV64 )
= ( sK2_SY38 @ SV58 @ SV64 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[281]) ).
thf(290,plain,
! [SV63: a,SV59: a,SV56: a] :
( ( ( ~ ( sK1_Xp @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( sK1_Xp @ SV59 @ SV63 ) )
= $true )
| ( ( sK1_Xp @ SV56 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(291,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(292,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(293,plain,
! [SV67: a,SV65: a] :
( ( ~ ( sK1_Xp @ SV65 @ SV67 )
| ( ( sK3_SY75 @ SV65 )
= ( sK3_SY75 @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(294,plain,
( ( ( ! [SY234: a,SY235: a] :
( ~ ( sK1_Xp @ SY234 @ SY235 )
| ( sK3_SY75 @ SY234 @ ( sK13_SV61 @ SY234 ) @ ( sK14_SV66 @ SY235 ) ) ) )
= ( ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[286]) ).
thf(295,plain,
! [SV64: a,SV58: a] :
( ( ( ~ ( ( sK1_Xp @ SV58 @ SV64 )
| ( sK2_SY38 @ SV58 @ SV64 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_Xp @ SV58 @ SV64 )
| ~ ( sK2_SY38 @ SV58 @ SV64 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(296,plain,
! [SV63: a,SV59: a,SV56: a] :
( ( ( sK1_Xp @ SV56 @ SV59 )
= $false )
| ( ( ~ ( sK1_Xp @ SV59 @ SV63 ) )
= $true )
| ( ( sK1_Xp @ SV56 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(297,plain,
( ( ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY75 @ SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(298,plain,
( ( ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY75 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY75 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY75 @ SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(299,plain,
! [SV67: a,SV65: a] :
( ( ( ~ ( sK1_Xp @ SV65 @ SV67 ) )
= $true )
| ( ( ( sK3_SY75 @ SV65 )
= ( sK3_SY75 @ SV67 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(300,plain,
( ( ~ ( ! [SY234: a,SY235: a] :
( ~ ( sK1_Xp @ SY234 @ SY235 )
| ( sK3_SY75 @ SY234 @ ( sK13_SV61 @ SY234 ) @ ( sK14_SV66 @ SY235 ) ) )
| ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) )
| ~ ( ~ ! [SY234: a,SY235: a] :
( ~ ( sK1_Xp @ SY234 @ SY235 )
| ( sK3_SY75 @ SY234 @ ( sK13_SV61 @ SY234 ) @ ( sK14_SV66 @ SY235 ) ) )
| ~ ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[294]) ).
thf(301,plain,
( ( ( ! [SY234: a,SY235: a] :
( ~ ( sK1_Xp @ SY234 @ SY235 )
| ( sK3_SY75 @ SY234 @ ( sK13_SV61 @ SY234 ) @ ( sK14_SV66 @ SY235 ) ) ) )
= ( ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[294]) ).
thf(302,plain,
! [SV64: a,SV58: a] :
( ( ( ( sK1_Xp @ SV58 @ SV64 )
| ( sK2_SY38 @ SV58 @ SV64 ) )
= $false )
| ( ( ~ ( ~ ( sK1_Xp @ SV58 @ SV64 )
| ~ ( sK2_SY38 @ SV58 @ SV64 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(303,plain,
! [SV56: a,SV63: a,SV59: a] :
( ( ( sK1_Xp @ SV59 @ SV63 )
= $false )
| ( ( sK1_Xp @ SV56 @ SV59 )
= $false )
| ( ( sK1_Xp @ SV56 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(304,plain,
! [SV68: a] :
( ( ! [SY238: a] :
~ ( sK1_Xp @ SV68 @ SY238 )
| ! [SY239: b,SY240: b] :
( ~ ( sK3_SY75 @ SV68 @ SY239 @ SY240 )
| ( sK3_SY75 @ SV68 @ SY240 @ SY239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(305,plain,
! [SV69: a] :
( ( ! [SY241: a] :
~ ( sK1_Xp @ SV69 @ SY241 )
| ! [SY242: b,SY243: b,SY244: b] :
( ~ ( sK3_SY75 @ SV69 @ SY242 @ SY243 )
| ~ ( sK3_SY75 @ SV69 @ SY243 @ SY244 )
| ( sK3_SY75 @ SV69 @ SY242 @ SY244 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(306,plain,
! [SV67: a,SV65: a] :
( ( ( sK1_Xp @ SV65 @ SV67 )
= $false )
| ( ( ( sK3_SY75 @ SV65 )
= ( sK3_SY75 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(307,plain,
( ( ~ ( ! [SY234: a,SY235: a] :
( ~ ( sK1_Xp @ SY234 @ SY235 )
| ( sK3_SY75 @ SY234 @ ( sK13_SV61 @ SY234 ) @ ( sK14_SV66 @ SY235 ) ) )
| ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(308,plain,
( ( ~ ( ~ ! [SY234: a,SY235: a] :
( ~ ( sK1_Xp @ SY234 @ SY235 )
| ( sK3_SY75 @ SY234 @ ( sK13_SV61 @ SY234 ) @ ( sK14_SV66 @ SY235 ) ) )
| ~ ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(309,plain,
! [SV64: a,SV58: a] :
( ( ( sK1_Xp @ SV58 @ SV64 )
= $false )
| ( ( ~ ( ~ ( sK1_Xp @ SV58 @ SV64 )
| ~ ( sK2_SY38 @ SV58 @ SV64 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(310,plain,
! [SV64: a,SV58: a] :
( ( ( sK2_SY38 @ SV58 @ SV64 )
= $false )
| ( ( ~ ( ~ ( sK1_Xp @ SV58 @ SV64 )
| ~ ( sK2_SY38 @ SV58 @ SV64 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(311,plain,
! [SV68: a] :
( ( ( ! [SY238: a] :
~ ( sK1_Xp @ SV68 @ SY238 ) )
= $true )
| ( ( ! [SY239: b,SY240: b] :
( ~ ( sK3_SY75 @ SV68 @ SY239 @ SY240 )
| ( sK3_SY75 @ SV68 @ SY240 @ SY239 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(312,plain,
! [SV69: a] :
( ( ( ! [SY241: a] :
~ ( sK1_Xp @ SV69 @ SY241 ) )
= $true )
| ( ( ! [SY242: b,SY243: b,SY244: b] :
( ~ ( sK3_SY75 @ SV69 @ SY242 @ SY243 )
| ~ ( sK3_SY75 @ SV69 @ SY243 @ SY244 )
| ( sK3_SY75 @ SV69 @ SY242 @ SY244 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(313,plain,
! [SV67: a,SV65: a] :
( ( ( ! [SV70: b] :
( ( sK3_SY75 @ SV65 @ SV70 )
= ( sK3_SY75 @ SV67 @ SV70 ) ) )
= $true )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[306]) ).
thf(314,plain,
! [SV67: a,SV65: a] :
( ( ( ( sK3_SY75 @ SV65 )
= ( sK3_SY75 @ SV67 ) )
= $true )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[306]) ).
thf(315,plain,
( ( ! [SY234: a,SY235: a] :
( ~ ( sK1_Xp @ SY234 @ SY235 )
| ( sK3_SY75 @ SY234 @ ( sK13_SV61 @ SY234 ) @ ( sK14_SV66 @ SY235 ) ) )
| ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(316,plain,
( ( ~ ! [SY234: a,SY235: a] :
( ~ ( sK1_Xp @ SY234 @ SY235 )
| ( sK3_SY75 @ SY234 @ ( sK13_SV61 @ SY234 ) @ ( sK14_SV66 @ SY235 ) ) )
| ~ ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(317,plain,
! [SV64: a,SV58: a] :
( ( ( ~ ( sK1_Xp @ SV58 @ SV64 )
| ~ ( sK2_SY38 @ SV58 @ SV64 ) )
= $false )
| ( ( sK1_Xp @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(318,plain,
! [SV64: a,SV58: a] :
( ( ( ~ ( sK1_Xp @ SV58 @ SV64 )
| ~ ( sK2_SY38 @ SV58 @ SV64 ) )
= $false )
| ( ( sK2_SY38 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(319,plain,
! [SV71: a,SV68: a] :
( ( ( ~ ( sK1_Xp @ SV68 @ SV71 ) )
= $true )
| ( ( ! [SY239: b,SY240: b] :
( ~ ( sK3_SY75 @ SV68 @ SY239 @ SY240 )
| ( sK3_SY75 @ SV68 @ SY240 @ SY239 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(320,plain,
! [SV72: a,SV69: a] :
( ( ( ~ ( sK1_Xp @ SV69 @ SV72 ) )
= $true )
| ( ( ! [SY242: b,SY243: b,SY244: b] :
( ~ ( sK3_SY75 @ SV69 @ SY242 @ SY243 )
| ~ ( sK3_SY75 @ SV69 @ SY243 @ SY244 )
| ( sK3_SY75 @ SV69 @ SY242 @ SY244 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(321,plain,
! [SV67: a,SV73: b,SV65: a] :
( ( ( ( sK3_SY75 @ SV65 @ SV73 )
= ( sK3_SY75 @ SV67 @ SV73 ) )
= $true )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(322,plain,
( ( ( ! [SY234: a,SY235: a] :
( ~ ( sK1_Xp @ SY234 @ SY235 )
| ( sK3_SY75 @ SY234 @ ( sK13_SV61 @ SY234 ) @ ( sK14_SV66 @ SY235 ) ) ) )
= $true )
| ( ( ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(323,plain,
( ( ( ~ ! [SY234: a,SY235: a] :
( ~ ( sK1_Xp @ SY234 @ SY235 )
| ( sK3_SY75 @ SY234 @ ( sK13_SV61 @ SY234 ) @ ( sK14_SV66 @ SY235 ) ) ) )
= $true )
| ( ( ~ ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(324,plain,
! [SV64: a,SV58: a] :
( ( ( ~ ( sK1_Xp @ SV58 @ SV64 ) )
= $false )
| ( ( sK1_Xp @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[317]) ).
thf(325,plain,
! [SV64: a,SV58: a] :
( ( ( ~ ( sK2_SY38 @ SV58 @ SV64 ) )
= $false )
| ( ( sK1_Xp @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[317]) ).
thf(326,plain,
! [SV64: a,SV58: a] :
( ( ( ~ ( sK1_Xp @ SV58 @ SV64 ) )
= $false )
| ( ( sK2_SY38 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[318]) ).
thf(327,plain,
! [SV64: a,SV58: a] :
( ( ( ~ ( sK2_SY38 @ SV58 @ SV64 ) )
= $false )
| ( ( sK2_SY38 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[318]) ).
thf(328,plain,
! [SV71: a,SV68: a] :
( ( ( sK1_Xp @ SV68 @ SV71 )
= $false )
| ( ( ! [SY239: b,SY240: b] :
( ~ ( sK3_SY75 @ SV68 @ SY239 @ SY240 )
| ( sK3_SY75 @ SV68 @ SY240 @ SY239 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(329,plain,
! [SV72: a,SV69: a] :
( ( ( sK1_Xp @ SV69 @ SV72 )
= $false )
| ( ( ! [SY242: b,SY243: b,SY244: b] :
( ~ ( sK3_SY75 @ SV69 @ SY242 @ SY243 )
| ~ ( sK3_SY75 @ SV69 @ SY243 @ SY244 )
| ( sK3_SY75 @ SV69 @ SY242 @ SY244 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(330,plain,
! [SV67: a,SV73: b,SV65: a] :
( ( ( ! [SV74: b] :
( ( sK3_SY75 @ SV65 @ SV73 @ SV74 )
= ( sK3_SY75 @ SV67 @ SV73 @ SV74 ) ) )
= $true )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[321]) ).
thf(331,plain,
! [SV67: a,SV73: b,SV65: a] :
( ( ( ( sK3_SY75 @ SV65 @ SV73 )
= ( sK3_SY75 @ SV67 @ SV73 ) )
= $true )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[321]) ).
thf(332,plain,
! [SV75: a] :
( ( ( ! [SY245: a] :
( ~ ( sK1_Xp @ SV75 @ SY245 )
| ( sK3_SY75 @ SV75 @ ( sK13_SV61 @ SV75 ) @ ( sK14_SV66 @ SY245 ) ) ) )
= $true )
| ( ( ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(333,plain,
( ( ( ! [SY234: a,SY235: a] :
( ~ ( sK1_Xp @ SY234 @ SY235 )
| ( sK3_SY75 @ SY234 @ ( sK13_SV61 @ SY234 ) @ ( sK14_SV66 @ SY235 ) ) ) )
= $false )
| ( ( ~ ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(334,plain,
! [SV64: a,SV58: a] :
( ( ( sK1_Xp @ SV58 @ SV64 )
= $true )
| ( ( sK1_Xp @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(335,plain,
! [SV64: a,SV58: a] :
( ( ( sK2_SY38 @ SV58 @ SV64 )
= $true )
| ( ( sK1_Xp @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(336,plain,
! [SV64: a,SV58: a] :
( ( ( sK1_Xp @ SV58 @ SV64 )
= $true )
| ( ( sK2_SY38 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(337,plain,
! [SV64: a,SV58: a] :
( ( ( sK2_SY38 @ SV58 @ SV64 )
= $true )
| ( ( sK2_SY38 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(338,plain,
! [SV71: a,SV76: b,SV68: a] :
( ( ( ! [SY246: b] :
( ~ ( sK3_SY75 @ SV68 @ SV76 @ SY246 )
| ( sK3_SY75 @ SV68 @ SY246 @ SV76 ) ) )
= $true )
| ( ( sK1_Xp @ SV68 @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(339,plain,
! [SV72: a,SV77: b,SV69: a] :
( ( ( ! [SY247: b,SY248: b] :
( ~ ( sK3_SY75 @ SV69 @ SV77 @ SY247 )
| ~ ( sK3_SY75 @ SV69 @ SY247 @ SY248 )
| ( sK3_SY75 @ SV69 @ SV77 @ SY248 ) ) )
= $true )
| ( ( sK1_Xp @ SV69 @ SV72 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(340,plain,
! [SV67: a,SV78: b,SV73: b,SV65: a] :
( ( ( ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
= ( sK3_SY75 @ SV67 @ SV73 @ SV78 ) )
= $true )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(341,plain,
! [SV79: a,SV75: a] :
( ( ( ~ ( sK1_Xp @ SV75 @ SV79 )
| ( sK3_SY75 @ SV75 @ ( sK13_SV61 @ SV75 ) @ ( sK14_SV66 @ SV79 ) ) )
= $true )
| ( ( ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(342,plain,
( ( ( ! [SY249: a] :
( ~ ( sK1_Xp @ sK15_SY234 @ SY249 )
| ( sK3_SY75 @ sK15_SY234 @ ( sK13_SV61 @ sK15_SY234 ) @ ( sK14_SV66 @ SY249 ) ) ) )
= $false )
| ( ( ~ ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[333]) ).
thf(343,plain,
! [SV71: a,SV80: b,SV76: b,SV68: a] :
( ( ( ~ ( sK3_SY75 @ SV68 @ SV76 @ SV80 )
| ( sK3_SY75 @ SV68 @ SV80 @ SV76 ) )
= $true )
| ( ( sK1_Xp @ SV68 @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(344,plain,
! [SV72: a,SV81: b,SV77: b,SV69: a] :
( ( ( ! [SY250: b] :
( ~ ( sK3_SY75 @ SV69 @ SV77 @ SV81 )
| ~ ( sK3_SY75 @ SV69 @ SV81 @ SY250 )
| ( sK3_SY75 @ SV69 @ SV77 @ SY250 ) ) )
= $true )
| ( ( sK1_Xp @ SV69 @ SV72 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(345,plain,
! [SV67: a,SV78: b,SV73: b,SV65: a] :
( ( ( ~ ( ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
| ( sK3_SY75 @ SV67 @ SV73 @ SV78 ) )
| ~ ( ~ ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
| ~ ( sK3_SY75 @ SV67 @ SV73 @ SV78 ) ) )
= $true )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[340]) ).
thf(346,plain,
! [SV67: a,SV78: b,SV73: b,SV65: a] :
( ( ( ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
= ( sK3_SY75 @ SV67 @ SV73 @ SV78 ) )
= $true )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[340]) ).
thf(347,plain,
! [SV79: a,SV75: a] :
( ( ( ~ ( sK1_Xp @ SV75 @ SV79 ) )
= $true )
| ( ( sK3_SY75 @ SV75 @ ( sK13_SV61 @ SV75 ) @ ( sK14_SV66 @ SV79 ) )
= $true )
| ( ( ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(348,plain,
( ( ( ~ ( sK1_Xp @ sK15_SY234 @ sK16_SY249 )
| ( sK3_SY75 @ sK15_SY234 @ ( sK13_SV61 @ sK15_SY234 ) @ ( sK14_SV66 @ sK16_SY249 ) ) )
= $false )
| ( ( ~ ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[342]) ).
thf(349,plain,
! [SV71: a,SV80: b,SV76: b,SV68: a] :
( ( ( ~ ( sK3_SY75 @ SV68 @ SV76 @ SV80 ) )
= $true )
| ( ( sK3_SY75 @ SV68 @ SV80 @ SV76 )
= $true )
| ( ( sK1_Xp @ SV68 @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(350,plain,
! [SV72: a,SV82: b,SV81: b,SV77: b,SV69: a] :
( ( ( ~ ( sK3_SY75 @ SV69 @ SV77 @ SV81 )
| ~ ( sK3_SY75 @ SV69 @ SV81 @ SV82 )
| ( sK3_SY75 @ SV69 @ SV77 @ SV82 ) )
= $true )
| ( ( sK1_Xp @ SV69 @ SV72 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(351,plain,
! [SV67: a,SV78: b,SV73: b,SV65: a] :
( ( ( ~ ( ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
| ( sK3_SY75 @ SV67 @ SV73 @ SV78 ) ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
| ~ ( sK3_SY75 @ SV67 @ SV73 @ SV78 ) ) )
= $true )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(352,plain,
! [SV79: a,SV75: a] :
( ( ( sK1_Xp @ SV75 @ SV79 )
= $false )
| ( ( sK3_SY75 @ SV75 @ ( sK13_SV61 @ SV75 ) @ ( sK14_SV66 @ SV79 ) )
= $true )
| ( ( ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(353,plain,
( ( ( ~ ( sK1_Xp @ sK15_SY234 @ sK16_SY249 ) )
= $false )
| ( ( ~ ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(354,plain,
( ( ( sK3_SY75 @ sK15_SY234 @ ( sK13_SV61 @ sK15_SY234 ) @ ( sK14_SV66 @ sK16_SY249 ) )
= $false )
| ( ( ~ ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(355,plain,
! [SV71: a,SV80: b,SV76: b,SV68: a] :
( ( ( sK3_SY75 @ SV68 @ SV76 @ SV80 )
= $false )
| ( ( sK3_SY75 @ SV68 @ SV80 @ SV76 )
= $true )
| ( ( sK1_Xp @ SV68 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(356,plain,
! [SV72: a,SV82: b,SV81: b,SV77: b,SV69: a] :
( ( ( ~ ( sK3_SY75 @ SV69 @ SV77 @ SV81 )
| ~ ( sK3_SY75 @ SV69 @ SV81 @ SV82 ) )
= $true )
| ( ( sK3_SY75 @ SV69 @ SV77 @ SV82 )
= $true )
| ( ( sK1_Xp @ SV69 @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(357,plain,
! [SV67: a,SV78: b,SV73: b,SV65: a] :
( ( ( ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
| ( sK3_SY75 @ SV67 @ SV73 @ SV78 ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
| ~ ( sK3_SY75 @ SV67 @ SV73 @ SV78 ) ) )
= $true )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(358,plain,
! [SV79: a,SV75: a,SV83: a] :
( ( ( ! [SY251: a] :
( ~ ( sK2_SY38 @ SV83 @ SY251 )
| ( sK3_SY75 @ SV83 @ ( sK13_SV61 @ SV83 ) @ ( sK14_SV66 @ SY251 ) ) ) )
= $true )
| ( ( sK3_SY75 @ SV75 @ ( sK13_SV61 @ SV75 ) @ ( sK14_SV66 @ SV79 ) )
= $true )
| ( ( sK1_Xp @ SV75 @ SV79 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(359,plain,
( ( ( sK1_Xp @ sK15_SY234 @ sK16_SY249 )
= $true )
| ( ( ~ ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(360,plain,
( ( ( ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) )
= $false )
| ( ( sK3_SY75 @ sK15_SY234 @ ( sK13_SV61 @ sK15_SY234 ) @ ( sK14_SV66 @ sK16_SY249 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(361,plain,
! [SV72: a,SV82: b,SV81: b,SV77: b,SV69: a] :
( ( ( ~ ( sK3_SY75 @ SV69 @ SV77 @ SV81 ) )
= $true )
| ( ( ~ ( sK3_SY75 @ SV69 @ SV81 @ SV82 ) )
= $true )
| ( ( sK3_SY75 @ SV69 @ SV77 @ SV82 )
= $true )
| ( ( sK1_Xp @ SV69 @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(362,plain,
! [SV67: a,SV78: b,SV73: b,SV65: a] :
( ( ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
= $false )
| ( ( ~ ( ~ ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
| ~ ( sK3_SY75 @ SV67 @ SV73 @ SV78 ) ) )
= $true )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[357]) ).
thf(363,plain,
! [SV65: a,SV78: b,SV73: b,SV67: a] :
( ( ( sK3_SY75 @ SV67 @ SV73 @ SV78 )
= $false )
| ( ( ~ ( ~ ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
| ~ ( sK3_SY75 @ SV67 @ SV73 @ SV78 ) ) )
= $true )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[357]) ).
thf(364,plain,
! [SV79: a,SV75: a,SV84: a,SV83: a] :
( ( ( ~ ( sK2_SY38 @ SV83 @ SV84 )
| ( sK3_SY75 @ SV83 @ ( sK13_SV61 @ SV83 ) @ ( sK14_SV66 @ SV84 ) ) )
= $true )
| ( ( sK3_SY75 @ SV75 @ ( sK13_SV61 @ SV75 ) @ ( sK14_SV66 @ SV79 ) )
= $true )
| ( ( sK1_Xp @ SV75 @ SV79 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(365,plain,
( ( ( ! [SY236: a,SY237: a] :
( ~ ( sK2_SY38 @ SY236 @ SY237 )
| ( sK3_SY75 @ SY236 @ ( sK13_SV61 @ SY236 ) @ ( sK14_SV66 @ SY237 ) ) ) )
= $false )
| ( ( sK1_Xp @ sK15_SY234 @ sK16_SY249 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(366,plain,
( ( ( ! [SY252: a] :
( ~ ( sK2_SY38 @ sK17_SY236 @ SY252 )
| ( sK3_SY75 @ sK17_SY236 @ ( sK13_SV61 @ sK17_SY236 ) @ ( sK14_SV66 @ SY252 ) ) ) )
= $false )
| ( ( sK3_SY75 @ sK15_SY234 @ ( sK13_SV61 @ sK15_SY234 ) @ ( sK14_SV66 @ sK16_SY249 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[360]) ).
thf(367,plain,
! [SV72: a,SV82: b,SV81: b,SV77: b,SV69: a] :
( ( ( sK3_SY75 @ SV69 @ SV77 @ SV81 )
= $false )
| ( ( ~ ( sK3_SY75 @ SV69 @ SV81 @ SV82 ) )
= $true )
| ( ( sK3_SY75 @ SV69 @ SV77 @ SV82 )
= $true )
| ( ( sK1_Xp @ SV69 @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(368,plain,
! [SV67: a,SV78: b,SV73: b,SV65: a] :
( ( ( ~ ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
| ~ ( sK3_SY75 @ SV67 @ SV73 @ SV78 ) )
= $false )
| ( ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
= $false )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(369,plain,
! [SV67: a,SV78: b,SV73: b,SV65: a] :
( ( ( ~ ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
| ~ ( sK3_SY75 @ SV67 @ SV73 @ SV78 ) )
= $false )
| ( ( sK3_SY75 @ SV67 @ SV73 @ SV78 )
= $false )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(370,plain,
! [SV79: a,SV75: a,SV84: a,SV83: a] :
( ( ( ~ ( sK2_SY38 @ SV83 @ SV84 ) )
= $true )
| ( ( sK3_SY75 @ SV83 @ ( sK13_SV61 @ SV83 ) @ ( sK14_SV66 @ SV84 ) )
= $true )
| ( ( sK3_SY75 @ SV75 @ ( sK13_SV61 @ SV75 ) @ ( sK14_SV66 @ SV79 ) )
= $true )
| ( ( sK1_Xp @ SV75 @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(371,plain,
( ( ( ! [SY253: a] :
( ~ ( sK2_SY38 @ sK18_SY236 @ SY253 )
| ( sK3_SY75 @ sK18_SY236 @ ( sK13_SV61 @ sK18_SY236 ) @ ( sK14_SV66 @ SY253 ) ) ) )
= $false )
| ( ( sK1_Xp @ sK15_SY234 @ sK16_SY249 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[365]) ).
thf(372,plain,
( ( ( ~ ( sK2_SY38 @ sK17_SY236 @ sK19_SY252 )
| ( sK3_SY75 @ sK17_SY236 @ ( sK13_SV61 @ sK17_SY236 ) @ ( sK14_SV66 @ sK19_SY252 ) ) )
= $false )
| ( ( sK3_SY75 @ sK15_SY234 @ ( sK13_SV61 @ sK15_SY234 ) @ ( sK14_SV66 @ sK16_SY249 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[366]) ).
thf(373,plain,
! [SV72: a,SV77: b,SV82: b,SV81: b,SV69: a] :
( ( ( sK3_SY75 @ SV69 @ SV81 @ SV82 )
= $false )
| ( ( sK3_SY75 @ SV69 @ SV77 @ SV81 )
= $false )
| ( ( sK3_SY75 @ SV69 @ SV77 @ SV82 )
= $true )
| ( ( sK1_Xp @ SV69 @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(374,plain,
! [SV67: a,SV78: b,SV73: b,SV65: a] :
( ( ( ~ ( sK3_SY75 @ SV65 @ SV73 @ SV78 ) )
= $false )
| ( ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
= $false )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(375,plain,
! [SV65: a,SV78: b,SV73: b,SV67: a] :
( ( ( ~ ( sK3_SY75 @ SV67 @ SV73 @ SV78 ) )
= $false )
| ( ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
= $false )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(376,plain,
! [SV67: a,SV78: b,SV73: b,SV65: a] :
( ( ( ~ ( sK3_SY75 @ SV65 @ SV73 @ SV78 ) )
= $false )
| ( ( sK3_SY75 @ SV67 @ SV73 @ SV78 )
= $false )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(377,plain,
! [SV65: a,SV78: b,SV73: b,SV67: a] :
( ( ( ~ ( sK3_SY75 @ SV67 @ SV73 @ SV78 ) )
= $false )
| ( ( sK3_SY75 @ SV67 @ SV73 @ SV78 )
= $false )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(378,plain,
! [SV79: a,SV75: a,SV84: a,SV83: a] :
( ( ( sK2_SY38 @ SV83 @ SV84 )
= $false )
| ( ( sK3_SY75 @ SV83 @ ( sK13_SV61 @ SV83 ) @ ( sK14_SV66 @ SV84 ) )
= $true )
| ( ( sK3_SY75 @ SV75 @ ( sK13_SV61 @ SV75 ) @ ( sK14_SV66 @ SV79 ) )
= $true )
| ( ( sK1_Xp @ SV75 @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(379,plain,
( ( ( ~ ( sK2_SY38 @ sK18_SY236 @ sK20_SY253 )
| ( sK3_SY75 @ sK18_SY236 @ ( sK13_SV61 @ sK18_SY236 ) @ ( sK14_SV66 @ sK20_SY253 ) ) )
= $false )
| ( ( sK1_Xp @ sK15_SY234 @ sK16_SY249 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[371]) ).
thf(380,plain,
( ( ( ~ ( sK2_SY38 @ sK17_SY236 @ sK19_SY252 ) )
= $false )
| ( ( sK3_SY75 @ sK15_SY234 @ ( sK13_SV61 @ sK15_SY234 ) @ ( sK14_SV66 @ sK16_SY249 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(381,plain,
( ( ( sK3_SY75 @ sK17_SY236 @ ( sK13_SV61 @ sK17_SY236 ) @ ( sK14_SV66 @ sK19_SY252 ) )
= $false )
| ( ( sK3_SY75 @ sK15_SY234 @ ( sK13_SV61 @ sK15_SY234 ) @ ( sK14_SV66 @ sK16_SY249 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(382,plain,
! [SV67: a,SV78: b,SV73: b,SV65: a] :
( ( ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
= $true )
| ( ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
= $false )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(383,plain,
! [SV65: a,SV78: b,SV73: b,SV67: a] :
( ( ( sK3_SY75 @ SV67 @ SV73 @ SV78 )
= $true )
| ( ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
= $false )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[375]) ).
thf(384,plain,
! [SV67: a,SV78: b,SV73: b,SV65: a] :
( ( ( sK3_SY75 @ SV65 @ SV73 @ SV78 )
= $true )
| ( ( sK3_SY75 @ SV67 @ SV73 @ SV78 )
= $false )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(385,plain,
! [SV65: a,SV78: b,SV73: b,SV67: a] :
( ( ( sK3_SY75 @ SV67 @ SV73 @ SV78 )
= $true )
| ( ( sK3_SY75 @ SV67 @ SV73 @ SV78 )
= $false )
| ( ( sK1_Xp @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(386,plain,
( ( ( ~ ( sK2_SY38 @ sK18_SY236 @ sK20_SY253 ) )
= $false )
| ( ( sK1_Xp @ sK15_SY234 @ sK16_SY249 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[379]) ).
thf(387,plain,
( ( ( sK3_SY75 @ sK18_SY236 @ ( sK13_SV61 @ sK18_SY236 ) @ ( sK14_SV66 @ sK20_SY253 ) )
= $false )
| ( ( sK1_Xp @ sK15_SY234 @ sK16_SY249 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[379]) ).
thf(388,plain,
( ( ( sK2_SY38 @ sK17_SY236 @ sK19_SY252 )
= $true )
| ( ( sK3_SY75 @ sK15_SY234 @ ( sK13_SV61 @ sK15_SY234 ) @ ( sK14_SV66 @ sK16_SY249 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[380]) ).
thf(389,plain,
( ( ( sK2_SY38 @ sK18_SY236 @ sK20_SY253 )
= $true )
| ( ( sK1_Xp @ sK15_SY234 @ sK16_SY249 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(390,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[262,389,388,387,385,384,383,382,381,378,373,355,346,337,336,335,334,331,314,303,301,289,287,283,275,273]) ).
thf(391,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[390,133,253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEV037^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 17:39:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36
% 0.12/0.36 No.of.Axioms: 0
% 0.12/0.36
% 0.12/0.36 Length.of.Defs: 0
% 0.12/0.36
% 0.12/0.36 Contains.Choice.Funs: false
% 0.12/0.38 (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).......................
% 6.11/6.34
% 6.11/6.34 ********************************
% 6.11/6.34 * All subproblems solved! *
% 6.11/6.34 ********************************
% 6.11/6.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,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:390,loop_count:0,foatp_calls:1,translation:fof_full)
% 6.24/6.44
% 6.24/6.44 %**** Beginning of derivation protocol ****
% 6.24/6.44 % SZS output start CNFRefutation
% See solution above
% 6.24/6.44
% 6.24/6.44 %**** End of derivation protocol ****
% 6.24/6.44 %**** no. of clauses in derivation: 391 ****
% 6.24/6.44 %**** clause counter: 390 ****
% 6.24/6.44
% 6.24/6.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,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:390,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------