%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO228^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:07:53 AM UTC 2026
% Result : Theorem 0.47s 0.37s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 1
% Syntax : Number of formulae : 369 ( 208 unt; 0 typ; 0 def)
% Number of atoms : 2361 ( 723 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 4546 ( 768 ~; 523 |; 284 &;2772 @)
% ( 0 <=>; 199 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 3 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 76 ( 76 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 862 ( 0 ^; 862 !; 0 ?; 862 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_g,type,
g: $tType ).
thf(tp_sK10_SY231,type,
sK10_SY231: g ).
thf(tp_sK11_SX0,type,
sK11_SX0: a ).
thf(tp_sK12_SY238,type,
sK12_SY238: a ).
thf(tp_sK13_SX0,type,
sK13_SX0: g ).
thf(tp_sK14_SX0,type,
sK14_SX0: g ).
thf(tp_sK15_SY251,type,
sK15_SY251: g ).
thf(tp_sK1_Xh1,type,
sK1_Xh1: g > b ).
thf(tp_sK2_SY29,type,
sK2_SY29: b > a ).
thf(tp_sK3_SY57,type,
sK3_SY57: g > $o ).
thf(tp_sK4_SY84,type,
sK4_SY84: g > g > g ).
thf(tp_sK5_SY110,type,
sK5_SY110: b > $o ).
thf(tp_sK6_SY135,type,
sK6_SY135: b > b > b ).
thf(tp_sK7_SY159,type,
sK7_SY159: a > $o ).
thf(tp_sK8_SY182,type,
sK8_SY182: a > a > a ).
thf(tp_sK9_SX0,type,
sK9_SX0: g ).
thf(1,conjecture,
! [Xh1: g > b,Xh2: b > a,Xs1: g > $o,Xf1: g > g > g,Xs2: b > $o,Xf2: b > b > b,Xs3: a > $o,Xf3: a > a > a] :
( ( ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( Xs1 @ ( Xf1 @ Xx @ Xy ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xx )
& ( Xs2 @ Xy ) )
=> ( Xs2 @ ( Xf2 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs2 @ ( Xh1 @ Xx ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( ( Xh1 @ ( Xf1 @ Xx @ Xy ) )
= ( Xf2 @ ( Xh1 @ Xx ) @ ( Xh1 @ Xy ) ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xx )
& ( Xs2 @ Xy ) )
=> ( Xs2 @ ( Xf2 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( Xs3 @ ( Xh2 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xx )
& ( Xs2 @ Xy ) )
=> ( ( Xh2 @ ( Xf2 @ Xx @ Xy ) )
= ( Xf3 @ ( Xh2 @ Xx ) @ ( Xh2 @ Xy ) ) ) ) )
=> ( ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( Xs1 @ ( Xf1 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs3 @ ( Xh2 @ ( Xh1 @ Xx ) ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy )
& ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( ( Xh2 @ ( Xh1 @ ( Xf1 @ Xx @ Xy ) ) )
= ( Xf3 @ ( Xh2 @ ( Xh1 @ Xx ) ) @ ( Xh2 @ ( Xh1 @ Xy ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM126_EXPANDED_pme) ).
thf(2,negated_conjecture,
( ( ! [Xh1: g > b,Xh2: b > a,Xs1: g > $o,Xf1: g > g > g,Xs2: b > $o,Xf2: b > b > b,Xs3: a > $o,Xf3: a > a > a] :
( ( ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( Xs1 @ ( Xf1 @ Xx @ Xy ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xx )
& ( Xs2 @ Xy ) )
=> ( Xs2 @ ( Xf2 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs2 @ ( Xh1 @ Xx ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( ( Xh1 @ ( Xf1 @ Xx @ Xy ) )
= ( Xf2 @ ( Xh1 @ Xx ) @ ( Xh1 @ Xy ) ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xx )
& ( Xs2 @ Xy ) )
=> ( Xs2 @ ( Xf2 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( Xs3 @ ( Xh2 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xx )
& ( Xs2 @ Xy ) )
=> ( ( Xh2 @ ( Xf2 @ Xx @ Xy ) )
= ( Xf3 @ ( Xh2 @ Xx ) @ ( Xh2 @ Xy ) ) ) ) )
=> ( ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( Xs1 @ ( Xf1 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs3 @ ( Xh2 @ ( Xh1 @ Xx ) ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy )
& ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( ( Xh2 @ ( Xh1 @ ( Xf1 @ Xx @ Xy ) ) )
= ( Xf3 @ ( Xh2 @ ( Xh1 @ Xx ) ) @ ( Xh2 @ ( Xh1 @ Xy ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xh1: g > b,Xh2: b > a,Xs1: g > $o,Xf1: g > g > g,Xs2: b > $o,Xf2: b > b > b,Xs3: a > $o,Xf3: a > a > a] :
( ( ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( Xs1 @ ( Xf1 @ Xx @ Xy ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xx )
& ( Xs2 @ Xy ) )
=> ( Xs2 @ ( Xf2 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs2 @ ( Xh1 @ Xx ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( ( Xh1 @ ( Xf1 @ Xx @ Xy ) )
= ( Xf2 @ ( Xh1 @ Xx ) @ ( Xh1 @ Xy ) ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xx )
& ( Xs2 @ Xy ) )
=> ( Xs2 @ ( Xf2 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( Xs3 @ ( Xh2 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xx )
& ( Xs2 @ Xy ) )
=> ( ( Xh2 @ ( Xf2 @ Xx @ Xy ) )
= ( Xf3 @ ( Xh2 @ Xx ) @ ( Xh2 @ Xy ) ) ) ) )
=> ( ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( Xs1 @ ( Xf1 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs3 @ ( Xh2 @ ( Xh1 @ Xx ) ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy )
& ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( ( Xh2 @ ( Xh1 @ ( Xf1 @ Xx @ Xy ) ) )
= ( Xf3 @ ( Xh2 @ ( Xh1 @ Xx ) ) @ ( Xh2 @ ( Xh1 @ Xy ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY29: b > a,SY30: g > $o,SY31: g > g > g,SY32: b > $o,SY33: b > b > b,SY34: a > $o,SY35: a > a > a] :
( ( ! [Xx: g,Xy: g] :
( ( ( SY30 @ Xx )
& ( SY30 @ Xy ) )
=> ( SY30 @ ( SY31 @ Xx @ Xy ) ) )
& ! [Xx: b,Xy: b] :
( ( ( SY32 @ Xx )
& ( SY32 @ Xy ) )
=> ( SY32 @ ( SY33 @ Xx @ Xy ) ) )
& ! [SY40: g] :
( ( SY30 @ SY40 )
=> ( SY32 @ ( sK1_Xh1 @ SY40 ) ) )
& ! [SY41: g,SY42: g] :
( ( ( SY30 @ SY41 )
& ( SY30 @ SY42 ) )
=> ( ( sK1_Xh1 @ ( SY31 @ SY41 @ SY42 ) )
= ( SY33 @ ( sK1_Xh1 @ SY41 ) @ ( sK1_Xh1 @ SY42 ) ) ) )
& ! [Xx: b,Xy: b] :
( ( ( SY32 @ Xx )
& ( SY32 @ Xy ) )
=> ( SY32 @ ( SY33 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY34 @ Xx )
& ( SY34 @ Xy ) )
=> ( SY34 @ ( SY35 @ Xx @ Xy ) ) )
& ! [Xx: b] :
( ( SY32 @ Xx )
=> ( SY34 @ ( SY29 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( SY32 @ Xx )
& ( SY32 @ Xy ) )
=> ( ( SY29 @ ( SY33 @ Xx @ Xy ) )
= ( SY35 @ ( SY29 @ Xx ) @ ( SY29 @ Xy ) ) ) ) )
=> ( ! [Xx: g,Xy: g] :
( ( ( SY30 @ Xx )
& ( SY30 @ Xy ) )
=> ( SY30 @ ( SY31 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY34 @ Xx )
& ( SY34 @ Xy ) )
=> ( SY34 @ ( SY35 @ Xx @ Xy ) ) )
& ! [SY54: g] :
( ( SY30 @ SY54 )
=> ( SY34 @ ( SY29 @ ( sK1_Xh1 @ SY54 ) ) ) )
& ! [SY55: g,SY56: g] :
( ( ( SY30 @ SY55 )
& ( SY30 @ SY56 )
& ( SY30 @ SY55 )
& ( SY30 @ SY56 ) )
=> ( ( SY29 @ ( sK1_Xh1 @ ( SY31 @ SY55 @ SY56 ) ) )
= ( SY35 @ ( SY29 @ ( sK1_Xh1 @ SY55 ) ) @ ( SY29 @ ( sK1_Xh1 @ SY56 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY57: g > $o,SY58: g > g > g,SY59: b > $o,SY60: b > b > b,SY61: a > $o,SY62: a > a > a] :
( ( ! [Xx: g,Xy: g] :
( ( ( SY57 @ Xx )
& ( SY57 @ Xy ) )
=> ( SY57 @ ( SY58 @ Xx @ Xy ) ) )
& ! [Xx: b,Xy: b] :
( ( ( SY59 @ Xx )
& ( SY59 @ Xy ) )
=> ( SY59 @ ( SY60 @ Xx @ Xy ) ) )
& ! [SY40: g] :
( ( SY57 @ SY40 )
=> ( SY59 @ ( sK1_Xh1 @ SY40 ) ) )
& ! [SY41: g,SY42: g] :
( ( ( SY57 @ SY41 )
& ( SY57 @ SY42 ) )
=> ( ( sK1_Xh1 @ ( SY58 @ SY41 @ SY42 ) )
= ( SY60 @ ( sK1_Xh1 @ SY41 ) @ ( sK1_Xh1 @ SY42 ) ) ) )
& ! [Xx: b,Xy: b] :
( ( ( SY59 @ Xx )
& ( SY59 @ Xy ) )
=> ( SY59 @ ( SY60 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY61 @ Xx )
& ( SY61 @ Xy ) )
=> ( SY61 @ ( SY62 @ Xx @ Xy ) ) )
& ! [SY74: b] :
( ( SY59 @ SY74 )
=> ( SY61 @ ( sK2_SY29 @ SY74 ) ) )
& ! [SY75: b,SY76: b] :
( ( ( SY59 @ SY75 )
& ( SY59 @ SY76 ) )
=> ( ( sK2_SY29 @ ( SY60 @ SY75 @ SY76 ) )
= ( SY62 @ ( sK2_SY29 @ SY75 ) @ ( sK2_SY29 @ SY76 ) ) ) ) )
=> ( ! [Xx: g,Xy: g] :
( ( ( SY57 @ Xx )
& ( SY57 @ Xy ) )
=> ( SY57 @ ( SY58 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY61 @ Xx )
& ( SY61 @ Xy ) )
=> ( SY61 @ ( SY62 @ Xx @ Xy ) ) )
& ! [SY81: g] :
( ( SY57 @ SY81 )
=> ( SY61 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY81 ) ) ) )
& ! [SY82: g,SY83: g] :
( ( ( SY57 @ SY82 )
& ( SY57 @ SY83 )
& ( SY57 @ SY82 )
& ( SY57 @ SY83 ) )
=> ( ( sK2_SY29 @ ( sK1_Xh1 @ ( SY58 @ SY82 @ SY83 ) ) )
= ( SY62 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY82 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY83 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY84: g > g > g,SY85: b > $o,SY86: b > b > b,SY87: a > $o,SY88: a > a > a] :
( ( ! [SY89: g,SY90: g] :
( ( ( sK3_SY57 @ SY89 )
& ( sK3_SY57 @ SY90 ) )
=> ( sK3_SY57 @ ( SY84 @ SY89 @ SY90 ) ) )
& ! [Xx: b,Xy: b] :
( ( ( SY85 @ Xx )
& ( SY85 @ Xy ) )
=> ( SY85 @ ( SY86 @ Xx @ Xy ) ) )
& ! [SY93: g] :
( ( sK3_SY57 @ SY93 )
=> ( SY85 @ ( sK1_Xh1 @ SY93 ) ) )
& ! [SY94: g,SY95: g] :
( ( ( sK3_SY57 @ SY94 )
& ( sK3_SY57 @ SY95 ) )
=> ( ( sK1_Xh1 @ ( SY84 @ SY94 @ SY95 ) )
= ( SY86 @ ( sK1_Xh1 @ SY94 ) @ ( sK1_Xh1 @ SY95 ) ) ) )
& ! [Xx: b,Xy: b] :
( ( ( SY85 @ Xx )
& ( SY85 @ Xy ) )
=> ( SY85 @ ( SY86 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY87 @ Xx )
& ( SY87 @ Xy ) )
=> ( SY87 @ ( SY88 @ Xx @ Xy ) ) )
& ! [SY74: b] :
( ( SY85 @ SY74 )
=> ( SY87 @ ( sK2_SY29 @ SY74 ) ) )
& ! [SY75: b,SY76: b] :
( ( ( SY85 @ SY75 )
& ( SY85 @ SY76 ) )
=> ( ( sK2_SY29 @ ( SY86 @ SY75 @ SY76 ) )
= ( SY88 @ ( sK2_SY29 @ SY75 ) @ ( sK2_SY29 @ SY76 ) ) ) ) )
=> ( ! [SY103: g,SY104: g] :
( ( ( sK3_SY57 @ SY103 )
& ( sK3_SY57 @ SY104 ) )
=> ( sK3_SY57 @ ( SY84 @ SY103 @ SY104 ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY87 @ Xx )
& ( SY87 @ Xy ) )
=> ( SY87 @ ( SY88 @ Xx @ Xy ) ) )
& ! [SY107: g] :
( ( sK3_SY57 @ SY107 )
=> ( SY87 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY107 ) ) ) )
& ! [SY108: g,SY109: g] :
( ( ( sK3_SY57 @ SY108 )
& ( sK3_SY57 @ SY109 )
& ( sK3_SY57 @ SY108 )
& ( sK3_SY57 @ SY109 ) )
=> ( ( sK2_SY29 @ ( sK1_Xh1 @ ( SY84 @ SY108 @ SY109 ) ) )
= ( SY88 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY108 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY109 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY110: b > $o,SY111: b > b > b,SY112: a > $o,SY113: a > a > a] :
( ( ! [SY114: g,SY115: g] :
( ( ( sK3_SY57 @ SY114 )
& ( sK3_SY57 @ SY115 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY114 @ SY115 ) ) )
& ! [Xx: b,Xy: b] :
( ( ( SY110 @ Xx )
& ( SY110 @ Xy ) )
=> ( SY110 @ ( SY111 @ Xx @ Xy ) ) )
& ! [SY93: g] :
( ( sK3_SY57 @ SY93 )
=> ( SY110 @ ( sK1_Xh1 @ SY93 ) ) )
& ! [SY119: g,SY120: g] :
( ( ( sK3_SY57 @ SY119 )
& ( sK3_SY57 @ SY120 ) )
=> ( ( sK1_Xh1 @ ( sK4_SY84 @ SY119 @ SY120 ) )
= ( SY111 @ ( sK1_Xh1 @ SY119 ) @ ( sK1_Xh1 @ SY120 ) ) ) )
& ! [Xx: b,Xy: b] :
( ( ( SY110 @ Xx )
& ( SY110 @ Xy ) )
=> ( SY110 @ ( SY111 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY112 @ Xx )
& ( SY112 @ Xy ) )
=> ( SY112 @ ( SY113 @ Xx @ Xy ) ) )
& ! [SY74: b] :
( ( SY110 @ SY74 )
=> ( SY112 @ ( sK2_SY29 @ SY74 ) ) )
& ! [SY75: b,SY76: b] :
( ( ( SY110 @ SY75 )
& ( SY110 @ SY76 ) )
=> ( ( sK2_SY29 @ ( SY111 @ SY75 @ SY76 ) )
= ( SY113 @ ( sK2_SY29 @ SY75 ) @ ( sK2_SY29 @ SY76 ) ) ) ) )
=> ( ! [SY128: g,SY129: g] :
( ( ( sK3_SY57 @ SY128 )
& ( sK3_SY57 @ SY129 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY128 @ SY129 ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY112 @ Xx )
& ( SY112 @ Xy ) )
=> ( SY112 @ ( SY113 @ Xx @ Xy ) ) )
& ! [SY107: g] :
( ( sK3_SY57 @ SY107 )
=> ( SY112 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY107 ) ) ) )
& ! [SY133: g,SY134: g] :
( ( ( sK3_SY57 @ SY133 )
& ( sK3_SY57 @ SY134 )
& ( sK3_SY57 @ SY133 )
& ( sK3_SY57 @ SY134 ) )
=> ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ SY133 @ SY134 ) ) )
= ( SY113 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY133 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY134 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY135: b > b > b,SY136: a > $o,SY137: a > a > a] :
( ( ! [SY114: g,SY115: g] :
( ( ( sK3_SY57 @ SY114 )
& ( sK3_SY57 @ SY115 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY114 @ SY115 ) ) )
& ! [SY140: b,SY141: b] :
( ( ( sK5_SY110 @ SY140 )
& ( sK5_SY110 @ SY141 ) )
=> ( sK5_SY110 @ ( SY135 @ SY140 @ SY141 ) ) )
& ! [SY142: g] :
( ( sK3_SY57 @ SY142 )
=> ( sK5_SY110 @ ( sK1_Xh1 @ SY142 ) ) )
& ! [SY119: g,SY120: g] :
( ( ( sK3_SY57 @ SY119 )
& ( sK3_SY57 @ SY120 ) )
=> ( ( sK1_Xh1 @ ( sK4_SY84 @ SY119 @ SY120 ) )
= ( SY135 @ ( sK1_Xh1 @ SY119 ) @ ( sK1_Xh1 @ SY120 ) ) ) )
& ! [SY145: b,SY146: b] :
( ( ( sK5_SY110 @ SY145 )
& ( sK5_SY110 @ SY146 ) )
=> ( sK5_SY110 @ ( SY135 @ SY145 @ SY146 ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY136 @ Xx )
& ( SY136 @ Xy ) )
=> ( SY136 @ ( SY137 @ Xx @ Xy ) ) )
& ! [SY149: b] :
( ( sK5_SY110 @ SY149 )
=> ( SY136 @ ( sK2_SY29 @ SY149 ) ) )
& ! [SY150: b,SY151: b] :
( ( ( sK5_SY110 @ SY150 )
& ( sK5_SY110 @ SY151 ) )
=> ( ( sK2_SY29 @ ( SY135 @ SY150 @ SY151 ) )
= ( SY137 @ ( sK2_SY29 @ SY150 ) @ ( sK2_SY29 @ SY151 ) ) ) ) )
=> ( ! [SY128: g,SY129: g] :
( ( ( sK3_SY57 @ SY128 )
& ( sK3_SY57 @ SY129 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY128 @ SY129 ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY136 @ Xx )
& ( SY136 @ Xy ) )
=> ( SY136 @ ( SY137 @ Xx @ Xy ) ) )
& ! [SY107: g] :
( ( sK3_SY57 @ SY107 )
=> ( SY136 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY107 ) ) ) )
& ! [SY133: g,SY134: g] :
( ( ( sK3_SY57 @ SY133 )
& ( sK3_SY57 @ SY134 )
& ( sK3_SY57 @ SY133 )
& ( sK3_SY57 @ SY134 ) )
=> ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ SY133 @ SY134 ) ) )
= ( SY137 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY133 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY134 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[7]) ).
thf(9,plain,
( ( ! [SY159: a > $o,SY160: a > a > a] :
( ( ! [SY114: g,SY115: g] :
( ( ( sK3_SY57 @ SY114 )
& ( sK3_SY57 @ SY115 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY114 @ SY115 ) ) )
& ! [SY163: b,SY164: b] :
( ( ( sK5_SY110 @ SY163 )
& ( sK5_SY110 @ SY164 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY163 @ SY164 ) ) )
& ! [SY142: g] :
( ( sK3_SY57 @ SY142 )
=> ( sK5_SY110 @ ( sK1_Xh1 @ SY142 ) ) )
& ! [SY166: g,SY167: g] :
( ( ( sK3_SY57 @ SY166 )
& ( sK3_SY57 @ SY167 ) )
=> ( ( sK1_Xh1 @ ( sK4_SY84 @ SY166 @ SY167 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SY166 ) @ ( sK1_Xh1 @ SY167 ) ) ) )
& ! [SY168: b,SY169: b] :
( ( ( sK5_SY110 @ SY168 )
& ( sK5_SY110 @ SY169 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY168 @ SY169 ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY159 @ Xx )
& ( SY159 @ Xy ) )
=> ( SY159 @ ( SY160 @ Xx @ Xy ) ) )
& ! [SY149: b] :
( ( sK5_SY110 @ SY149 )
=> ( SY159 @ ( sK2_SY29 @ SY149 ) ) )
& ! [SY173: b,SY174: b] :
( ( ( sK5_SY110 @ SY173 )
& ( sK5_SY110 @ SY174 ) )
=> ( ( sK2_SY29 @ ( sK6_SY135 @ SY173 @ SY174 ) )
= ( SY160 @ ( sK2_SY29 @ SY173 ) @ ( sK2_SY29 @ SY174 ) ) ) ) )
=> ( ! [SY128: g,SY129: g] :
( ( ( sK3_SY57 @ SY128 )
& ( sK3_SY57 @ SY129 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY128 @ SY129 ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY159 @ Xx )
& ( SY159 @ Xy ) )
=> ( SY159 @ ( SY160 @ Xx @ Xy ) ) )
& ! [SY107: g] :
( ( sK3_SY57 @ SY107 )
=> ( SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY107 ) ) ) )
& ! [SY133: g,SY134: g] :
( ( ( sK3_SY57 @ SY133 )
& ( sK3_SY57 @ SY134 )
& ( sK3_SY57 @ SY133 )
& ( sK3_SY57 @ SY134 ) )
=> ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ SY133 @ SY134 ) ) )
= ( SY160 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY133 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY134 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [SY182: a > a > a] :
( ( ! [SY114: g,SY115: g] :
( ( ( sK3_SY57 @ SY114 )
& ( sK3_SY57 @ SY115 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY114 @ SY115 ) ) )
& ! [SY163: b,SY164: b] :
( ( ( sK5_SY110 @ SY163 )
& ( sK5_SY110 @ SY164 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY163 @ SY164 ) ) )
& ! [SY142: g] :
( ( sK3_SY57 @ SY142 )
=> ( sK5_SY110 @ ( sK1_Xh1 @ SY142 ) ) )
& ! [SY166: g,SY167: g] :
( ( ( sK3_SY57 @ SY166 )
& ( sK3_SY57 @ SY167 ) )
=> ( ( sK1_Xh1 @ ( sK4_SY84 @ SY166 @ SY167 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SY166 ) @ ( sK1_Xh1 @ SY167 ) ) ) )
& ! [SY168: b,SY169: b] :
( ( ( sK5_SY110 @ SY168 )
& ( sK5_SY110 @ SY169 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY168 @ SY169 ) ) )
& ! [SY192: a,SY193: a] :
( ( ( sK7_SY159 @ SY192 )
& ( sK7_SY159 @ SY193 ) )
=> ( sK7_SY159 @ ( SY182 @ SY192 @ SY193 ) ) )
& ! [SY194: b] :
( ( sK5_SY110 @ SY194 )
=> ( sK7_SY159 @ ( sK2_SY29 @ SY194 ) ) )
& ! [SY173: b,SY174: b] :
( ( ( sK5_SY110 @ SY173 )
& ( sK5_SY110 @ SY174 ) )
=> ( ( sK2_SY29 @ ( sK6_SY135 @ SY173 @ SY174 ) )
= ( SY182 @ ( sK2_SY29 @ SY173 ) @ ( sK2_SY29 @ SY174 ) ) ) ) )
=> ( ! [SY128: g,SY129: g] :
( ( ( sK3_SY57 @ SY128 )
& ( sK3_SY57 @ SY129 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY128 @ SY129 ) ) )
& ! [SY199: a,SY200: a] :
( ( ( sK7_SY159 @ SY199 )
& ( sK7_SY159 @ SY200 ) )
=> ( sK7_SY159 @ ( SY182 @ SY199 @ SY200 ) ) )
& ! [SY201: g] :
( ( sK3_SY57 @ SY201 )
=> ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY201 ) ) ) )
& ! [SY133: g,SY134: g] :
( ( ( sK3_SY57 @ SY133 )
& ( sK3_SY57 @ SY134 )
& ( sK3_SY57 @ SY133 )
& ( sK3_SY57 @ SY134 ) )
=> ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ SY133 @ SY134 ) ) )
= ( SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY133 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY134 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[9]) ).
thf(11,plain,
( ( ( ! [SY114: g,SY115: g] :
( ( ( sK3_SY57 @ SY114 )
& ( sK3_SY57 @ SY115 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY114 @ SY115 ) ) )
& ! [SY163: b,SY164: b] :
( ( ( sK5_SY110 @ SY163 )
& ( sK5_SY110 @ SY164 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY163 @ SY164 ) ) )
& ! [SY142: g] :
( ( sK3_SY57 @ SY142 )
=> ( sK5_SY110 @ ( sK1_Xh1 @ SY142 ) ) )
& ! [SY166: g,SY167: g] :
( ( ( sK3_SY57 @ SY166 )
& ( sK3_SY57 @ SY167 ) )
=> ( ( sK1_Xh1 @ ( sK4_SY84 @ SY166 @ SY167 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SY166 ) @ ( sK1_Xh1 @ SY167 ) ) ) )
& ! [SY168: b,SY169: b] :
( ( ( sK5_SY110 @ SY168 )
& ( sK5_SY110 @ SY169 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY168 @ SY169 ) ) )
& ! [SY213: a,SY214: a] :
( ( ( sK7_SY159 @ SY213 )
& ( sK7_SY159 @ SY214 ) )
=> ( sK7_SY159 @ ( sK8_SY182 @ SY213 @ SY214 ) ) )
& ! [SY194: b] :
( ( sK5_SY110 @ SY194 )
=> ( sK7_SY159 @ ( sK2_SY29 @ SY194 ) ) )
& ! [SY216: b,SY217: b] :
( ( ( sK5_SY110 @ SY216 )
& ( sK5_SY110 @ SY217 ) )
=> ( ( sK2_SY29 @ ( sK6_SY135 @ SY216 @ SY217 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SY216 ) @ ( sK2_SY29 @ SY217 ) ) ) ) )
=> ( ! [SY128: g,SY129: g] :
( ( ( sK3_SY57 @ SY128 )
& ( sK3_SY57 @ SY129 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY128 @ SY129 ) ) )
& ! [SY220: a,SY221: a] :
( ( ( sK7_SY159 @ SY220 )
& ( sK7_SY159 @ SY221 ) )
=> ( sK7_SY159 @ ( sK8_SY182 @ SY220 @ SY221 ) ) )
& ! [SY201: g] :
( ( sK3_SY57 @ SY201 )
=> ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY201 ) ) ) )
& ! [SY223: g,SY224: g] :
( ( ( sK3_SY57 @ SY223 )
& ( sK3_SY57 @ SY224 )
& ( sK3_SY57 @ SY223 )
& ( sK3_SY57 @ SY224 ) )
=> ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ SY223 @ SY224 ) ) )
= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY223 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY224 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[10]) ).
thf(12,plain,
( ( ! [SY114: g,SY115: g] :
( ( ( sK3_SY57 @ SY114 )
& ( sK3_SY57 @ SY115 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY114 @ SY115 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(13,plain,
( ( ! [SY163: b,SY164: b] :
( ( ( sK5_SY110 @ SY163 )
& ( sK5_SY110 @ SY164 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY163 @ SY164 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(14,plain,
( ( ! [SY142: g] :
( ( sK3_SY57 @ SY142 )
=> ( sK5_SY110 @ ( sK1_Xh1 @ SY142 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(15,plain,
( ( ! [SY166: g,SY167: g] :
( ( ( sK3_SY57 @ SY166 )
& ( sK3_SY57 @ SY167 ) )
=> ( ( sK1_Xh1 @ ( sK4_SY84 @ SY166 @ SY167 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SY166 ) @ ( sK1_Xh1 @ SY167 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(16,plain,
( ( ! [SY168: b,SY169: b] :
( ( ( sK5_SY110 @ SY168 )
& ( sK5_SY110 @ SY169 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY168 @ SY169 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(17,plain,
( ( ! [SY213: a,SY214: a] :
( ( ( sK7_SY159 @ SY213 )
& ( sK7_SY159 @ SY214 ) )
=> ( sK7_SY159 @ ( sK8_SY182 @ SY213 @ SY214 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(18,plain,
( ( ! [SY194: b] :
( ( sK5_SY110 @ SY194 )
=> ( sK7_SY159 @ ( sK2_SY29 @ SY194 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(19,plain,
( ( ! [SY216: b,SY217: b] :
( ( ( sK5_SY110 @ SY216 )
& ( sK5_SY110 @ SY217 ) )
=> ( ( sK2_SY29 @ ( sK6_SY135 @ SY216 @ SY217 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SY216 ) @ ( sK2_SY29 @ SY217 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(20,plain,
( ( ! [SY128: g,SY129: g] :
( ( ( sK3_SY57 @ SY128 )
& ( sK3_SY57 @ SY129 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY128 @ SY129 ) ) )
& ! [SY220: a,SY221: a] :
( ( ( sK7_SY159 @ SY220 )
& ( sK7_SY159 @ SY221 ) )
=> ( sK7_SY159 @ ( sK8_SY182 @ SY220 @ SY221 ) ) )
& ! [SY201: g] :
( ( sK3_SY57 @ SY201 )
=> ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY201 ) ) ) )
& ! [SY223: g,SY224: g] :
( ( ( sK3_SY57 @ SY223 )
& ( sK3_SY57 @ SY224 )
& ( sK3_SY57 @ SY223 )
& ( sK3_SY57 @ SY224 ) )
=> ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ SY223 @ SY224 ) ) )
= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY223 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY224 ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(21,plain,
( ( ! [SY128: g,SY129: g] :
( ( ( sK3_SY57 @ SY128 )
& ( sK3_SY57 @ SY129 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY128 @ SY129 ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(22,plain,
( ( ! [SY220: a,SY221: a] :
( ( ( sK7_SY159 @ SY220 )
& ( sK7_SY159 @ SY221 ) )
=> ( sK7_SY159 @ ( sK8_SY182 @ SY220 @ SY221 ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(23,plain,
( ( ! [SY201: g] :
( ( sK3_SY57 @ SY201 )
=> ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY201 ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(24,plain,
( ( ! [SY223: g,SY224: g] :
( ( ( sK3_SY57 @ SY223 )
& ( sK3_SY57 @ SY224 )
& ( sK3_SY57 @ SY223 )
& ( sK3_SY57 @ SY224 ) )
=> ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ SY223 @ SY224 ) ) )
= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY223 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY224 ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(25,plain,
( ( ~ ! [SY128: g,SY129: g] :
( ( ( sK3_SY57 @ SY128 )
& ( sK3_SY57 @ SY129 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY128 @ SY129 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[21]) ).
thf(26,plain,
( ( ~ ! [SY220: a,SY221: a] :
( ( ( sK7_SY159 @ SY220 )
& ( sK7_SY159 @ SY221 ) )
=> ( sK7_SY159 @ ( sK8_SY182 @ SY220 @ SY221 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[22]) ).
thf(27,plain,
( ( ~ ! [SY201: g] :
( ( sK3_SY57 @ SY201 )
=> ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY201 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ! [SY223: g,SY224: g] :
( ( ( sK3_SY57 @ SY223 )
& ( sK3_SY57 @ SY224 )
& ( sK3_SY57 @ SY223 )
& ( sK3_SY57 @ SY224 ) )
=> ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ SY223 @ SY224 ) ) )
= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY223 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY224 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[24]) ).
thf(29,plain,
( ( ! [SY216: b,SY217: b] :
( ( ( sK5_SY110 @ SY216 )
& ( sK5_SY110 @ SY217 ) )
=> ( ( sK2_SY29 @ ( sK6_SY135 @ SY216 @ SY217 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SY216 ) @ ( sK2_SY29 @ SY217 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(30,plain,
( ( ! [SY194: b] :
( ( sK5_SY110 @ SY194 )
=> ( sK7_SY159 @ ( sK2_SY29 @ SY194 ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(31,plain,
( ( ! [SY213: a,SY214: a] :
( ( ( sK7_SY159 @ SY213 )
& ( sK7_SY159 @ SY214 ) )
=> ( sK7_SY159 @ ( sK8_SY182 @ SY213 @ SY214 ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(32,plain,
( ( ! [SY168: b,SY169: b] :
( ( ( sK5_SY110 @ SY168 )
& ( sK5_SY110 @ SY169 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY168 @ SY169 ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(33,plain,
( ( ! [SY166: g,SY167: g] :
( ( ( sK3_SY57 @ SY166 )
& ( sK3_SY57 @ SY167 ) )
=> ( ( sK1_Xh1 @ ( sK4_SY84 @ SY166 @ SY167 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SY166 ) @ ( sK1_Xh1 @ SY167 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(34,plain,
( ( ! [SY142: g] :
( ( sK3_SY57 @ SY142 )
=> ( sK5_SY110 @ ( sK1_Xh1 @ SY142 ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(35,plain,
( ( ! [SY163: b,SY164: b] :
( ( ( sK5_SY110 @ SY163 )
& ( sK5_SY110 @ SY164 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY163 @ SY164 ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(36,plain,
( ( ! [SY114: g,SY115: g] :
( ( ( sK3_SY57 @ SY114 )
& ( sK3_SY57 @ SY115 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY114 @ SY115 ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(37,plain,
( ( ~ ! [SY128: g,SY129: g] :
( ( ( sK3_SY57 @ SY128 )
& ( sK3_SY57 @ SY129 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY128 @ SY129 ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(38,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 ) )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SX0 @ SX1 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SX0 ) @ ( sK2_SY29 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(39,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(40,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 ) )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(41,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 ) )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(42,plain,
( ( ~ ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 ) )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(43,plain,
( ( ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(44,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ~ ( ~ ( sK7_SY159 @ SX0 )
| ~ ( sK7_SY159 @ SX1 ) )
| ( sK7_SY159 @ ( sK8_SY182 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(45,plain,
( ( ! [SX0: b] :
( ~ ( sK5_SY110 @ SX0 )
| ( sK7_SY159 @ ( sK2_SY29 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(46,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(47,plain,
! [SV1: b] :
( ( ! [SY225: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SV1 )
| ~ ( sK5_SY110 @ SY225 ) )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SV1 @ SY225 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV1 ) @ ( sK2_SY29 @ SY225 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(48,plain,
! [SV2: b] :
( ( ! [SY226: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SV2 )
| ~ ( sK5_SY110 @ SY226 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SV2 @ SY226 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(49,plain,
! [SV3: g] :
( ( ! [SY227: g] :
( ~ ~ ( ~ ( sK3_SY57 @ SV3 )
| ~ ( sK3_SY57 @ SY227 ) )
| ( sK3_SY57 @ ( sK4_SY84 @ SV3 @ SY227 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(50,plain,
! [SV4: g] :
( ( ! [SY228: g] :
( ~ ~ ( ~ ( sK3_SY57 @ SV4 )
| ~ ( sK3_SY57 @ SY228 ) )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SV4 @ SY228 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV4 ) @ ( sK1_Xh1 @ SY228 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(51,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 ) )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(52,plain,
! [SV5: g] :
( ( ~ ( sK3_SY57 @ SV5 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(53,plain,
! [SV6: a] :
( ( ! [SY229: a] :
( ~ ~ ( ~ ( sK7_SY159 @ SV6 )
| ~ ( sK7_SY159 @ SY229 ) )
| ( sK7_SY159 @ ( sK8_SY182 @ SV6 @ SY229 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(54,plain,
! [SV7: b] :
( ( ~ ( sK5_SY110 @ SV7 )
| ( sK7_SY159 @ ( sK2_SY29 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(55,plain,
! [SV8: b] :
( ( ! [SY230: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SV8 )
| ~ ( sK5_SY110 @ SY230 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SV8 @ SY230 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(56,plain,
! [SV9: b,SV1: b] :
( ( ~ ~ ( ~ ( sK5_SY110 @ SV1 )
| ~ ( sK5_SY110 @ SV9 ) )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SV1 @ SV9 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV1 ) @ ( sK2_SY29 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(57,plain,
! [SV10: b,SV2: b] :
( ( ~ ~ ( ~ ( sK5_SY110 @ SV2 )
| ~ ( sK5_SY110 @ SV10 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SV2 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(58,plain,
! [SV11: g,SV3: g] :
( ( ~ ~ ( ~ ( sK3_SY57 @ SV3 )
| ~ ( sK3_SY57 @ SV11 ) )
| ( sK3_SY57 @ ( sK4_SY84 @ SV3 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(59,plain,
! [SV12: g,SV4: g] :
( ( ~ ~ ( ~ ( sK3_SY57 @ SV4 )
| ~ ( sK3_SY57 @ SV12 ) )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SV4 @ SV12 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV4 ) @ ( sK1_Xh1 @ SV12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(60,plain,
( ( ! [SY231: g] :
( ~ ~ ( ~ ( sK3_SY57 @ sK9_SX0 )
| ~ ( sK3_SY57 @ SY231 ) )
| ( sK3_SY57 @ ( sK4_SY84 @ sK9_SX0 @ SY231 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[51]) ).
thf(61,plain,
! [SV5: g] :
( ( ( ~ ( sK3_SY57 @ SV5 ) )
= $true )
| ( ( sK5_SY110 @ ( sK1_Xh1 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(62,plain,
! [SV13: a,SV6: a] :
( ( ~ ~ ( ~ ( sK7_SY159 @ SV6 )
| ~ ( sK7_SY159 @ SV13 ) )
| ( sK7_SY159 @ ( sK8_SY182 @ SV6 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(63,plain,
! [SV7: b] :
( ( ( ~ ( sK5_SY110 @ SV7 ) )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(64,plain,
! [SV14: b,SV8: b] :
( ( ~ ~ ( ~ ( sK5_SY110 @ SV8 )
| ~ ( sK5_SY110 @ SV14 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SV8 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(65,plain,
! [SV9: b,SV1: b] :
( ( ( ~ ~ ( ~ ( sK5_SY110 @ SV1 )
| ~ ( sK5_SY110 @ SV9 ) ) )
= $true )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV1 @ SV9 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV1 ) @ ( sK2_SY29 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(66,plain,
! [SV10: b,SV2: b] :
( ( ( ~ ~ ( ~ ( sK5_SY110 @ SV2 )
| ~ ( sK5_SY110 @ SV10 ) ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV2 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(67,plain,
! [SV11: g,SV3: g] :
( ( ( ~ ~ ( ~ ( sK3_SY57 @ SV3 )
| ~ ( sK3_SY57 @ SV11 ) ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV3 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(68,plain,
! [SV12: g,SV4: g] :
( ( ( ~ ~ ( ~ ( sK3_SY57 @ SV4 )
| ~ ( sK3_SY57 @ SV12 ) ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV4 @ SV12 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV4 ) @ ( sK1_Xh1 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(69,plain,
( ( ~ ~ ( ~ ( sK3_SY57 @ sK9_SX0 )
| ~ ( sK3_SY57 @ sK10_SY231 ) )
| ( sK3_SY57 @ ( sK4_SY84 @ sK9_SX0 @ sK10_SY231 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[60]) ).
thf(70,plain,
! [SV5: g] :
( ( ( sK3_SY57 @ SV5 )
= $false )
| ( ( sK5_SY110 @ ( sK1_Xh1 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(71,plain,
! [SV13: a,SV6: a] :
( ( ( ~ ~ ( ~ ( sK7_SY159 @ SV6 )
| ~ ( sK7_SY159 @ SV13 ) ) )
= $true )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV6 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(72,plain,
! [SV7: b] :
( ( ( sK5_SY110 @ SV7 )
= $false )
| ( ( sK7_SY159 @ ( sK2_SY29 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(73,plain,
! [SV14: b,SV8: b] :
( ( ( ~ ~ ( ~ ( sK5_SY110 @ SV8 )
| ~ ( sK5_SY110 @ SV14 ) ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV8 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(74,plain,
! [SV9: b,SV1: b] :
( ( ( ~ ( ~ ( sK5_SY110 @ SV1 )
| ~ ( sK5_SY110 @ SV9 ) ) )
= $false )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV1 @ SV9 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV1 ) @ ( sK2_SY29 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(75,plain,
! [SV10: b,SV2: b] :
( ( ( ~ ( ~ ( sK5_SY110 @ SV2 )
| ~ ( sK5_SY110 @ SV10 ) ) )
= $false )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV2 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(76,plain,
! [SV11: g,SV3: g] :
( ( ( ~ ( ~ ( sK3_SY57 @ SV3 )
| ~ ( sK3_SY57 @ SV11 ) ) )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV3 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(77,plain,
! [SV12: g,SV4: g] :
( ( ( ~ ( ~ ( sK3_SY57 @ SV4 )
| ~ ( sK3_SY57 @ SV12 ) ) )
= $false )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV4 @ SV12 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV4 ) @ ( sK1_Xh1 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(78,plain,
( ( ~ ~ ( ~ ( sK3_SY57 @ sK9_SX0 )
| ~ ( sK3_SY57 @ sK10_SY231 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(79,plain,
( ( sK3_SY57 @ ( sK4_SY84 @ sK9_SX0 @ sK10_SY231 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(80,plain,
! [SV13: a,SV6: a] :
( ( ( ~ ( ~ ( sK7_SY159 @ SV6 )
| ~ ( sK7_SY159 @ SV13 ) ) )
= $false )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV6 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(81,plain,
! [SV14: b,SV8: b] :
( ( ( ~ ( ~ ( sK5_SY110 @ SV8 )
| ~ ( sK5_SY110 @ SV14 ) ) )
= $false )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV8 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(82,plain,
! [SV9: b,SV1: b] :
( ( ( ~ ( sK5_SY110 @ SV1 )
| ~ ( sK5_SY110 @ SV9 ) )
= $true )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV1 @ SV9 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV1 ) @ ( sK2_SY29 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(83,plain,
! [SV10: b,SV2: b] :
( ( ( ~ ( sK5_SY110 @ SV2 )
| ~ ( sK5_SY110 @ SV10 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV2 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(84,plain,
! [SV11: g,SV3: g] :
( ( ( ~ ( sK3_SY57 @ SV3 )
| ~ ( sK3_SY57 @ SV11 ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV3 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(85,plain,
! [SV12: g,SV4: g] :
( ( ( ~ ( sK3_SY57 @ SV4 )
| ~ ( sK3_SY57 @ SV12 ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV4 @ SV12 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV4 ) @ ( sK1_Xh1 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(86,plain,
( ( ~ ( ~ ( sK3_SY57 @ sK9_SX0 )
| ~ ( sK3_SY57 @ sK10_SY231 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(87,plain,
! [SV13: a,SV6: a] :
( ( ( ~ ( sK7_SY159 @ SV6 )
| ~ ( sK7_SY159 @ SV13 ) )
= $true )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV6 @ SV13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(88,plain,
! [SV14: b,SV8: b] :
( ( ( ~ ( sK5_SY110 @ SV8 )
| ~ ( sK5_SY110 @ SV14 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV8 @ SV14 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(89,plain,
! [SV9: b,SV1: b] :
( ( ( ~ ( sK5_SY110 @ SV1 ) )
= $true )
| ( ( ~ ( sK5_SY110 @ SV9 ) )
= $true )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV1 @ SV9 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV1 ) @ ( sK2_SY29 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(90,plain,
! [SV10: b,SV2: b] :
( ( ( ~ ( sK5_SY110 @ SV2 ) )
= $true )
| ( ( ~ ( sK5_SY110 @ SV10 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV2 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(91,plain,
! [SV11: g,SV3: g] :
( ( ( ~ ( sK3_SY57 @ SV3 ) )
= $true )
| ( ( ~ ( sK3_SY57 @ SV11 ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV3 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(92,plain,
! [SV12: g,SV4: g] :
( ( ( ~ ( sK3_SY57 @ SV4 ) )
= $true )
| ( ( ~ ( sK3_SY57 @ SV12 ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV4 @ SV12 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV4 ) @ ( sK1_Xh1 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(93,plain,
( ( ~ ( sK3_SY57 @ sK9_SX0 )
| ~ ( sK3_SY57 @ sK10_SY231 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(94,plain,
! [SV13: a,SV6: a] :
( ( ( ~ ( sK7_SY159 @ SV6 ) )
= $true )
| ( ( ~ ( sK7_SY159 @ SV13 ) )
= $true )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV6 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(95,plain,
! [SV14: b,SV8: b] :
( ( ( ~ ( sK5_SY110 @ SV8 ) )
= $true )
| ( ( ~ ( sK5_SY110 @ SV14 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV8 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(96,plain,
! [SV9: b,SV1: b] :
( ( ( sK5_SY110 @ SV1 )
= $false )
| ( ( ~ ( sK5_SY110 @ SV9 ) )
= $true )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV1 @ SV9 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV1 ) @ ( sK2_SY29 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(97,plain,
! [SV10: b,SV2: b] :
( ( ( sK5_SY110 @ SV2 )
= $false )
| ( ( ~ ( sK5_SY110 @ SV10 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV2 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(98,plain,
! [SV11: g,SV3: g] :
( ( ( sK3_SY57 @ SV3 )
= $false )
| ( ( ~ ( sK3_SY57 @ SV11 ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV3 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(99,plain,
! [SV12: g,SV4: g] :
( ( ( sK3_SY57 @ SV4 )
= $false )
| ( ( ~ ( sK3_SY57 @ SV12 ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV4 @ SV12 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV4 ) @ ( sK1_Xh1 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(100,plain,
( ( ~ ( sK3_SY57 @ sK9_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(101,plain,
( ( ~ ( sK3_SY57 @ sK10_SY231 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(102,plain,
! [SV13: a,SV6: a] :
( ( ( sK7_SY159 @ SV6 )
= $false )
| ( ( ~ ( sK7_SY159 @ SV13 ) )
= $true )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV6 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(103,plain,
! [SV14: b,SV8: b] :
( ( ( sK5_SY110 @ SV8 )
= $false )
| ( ( ~ ( sK5_SY110 @ SV14 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV8 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(104,plain,
! [SV1: b,SV9: b] :
( ( ( sK5_SY110 @ SV9 )
= $false )
| ( ( sK5_SY110 @ SV1 )
= $false )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV1 @ SV9 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV1 ) @ ( sK2_SY29 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(105,plain,
! [SV2: b,SV10: b] :
( ( ( sK5_SY110 @ SV10 )
= $false )
| ( ( sK5_SY110 @ SV2 )
= $false )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV2 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(106,plain,
! [SV3: g,SV11: g] :
( ( ( sK3_SY57 @ SV11 )
= $false )
| ( ( sK3_SY57 @ SV3 )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV3 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(107,plain,
! [SV4: g,SV12: g] :
( ( ( sK3_SY57 @ SV12 )
= $false )
| ( ( sK3_SY57 @ SV4 )
= $false )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV4 @ SV12 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV4 ) @ ( sK1_Xh1 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(108,plain,
( ( sK3_SY57 @ sK9_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(109,plain,
( ( sK3_SY57 @ sK10_SY231 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(110,plain,
! [SV6: a,SV13: a] :
( ( ( sK7_SY159 @ SV13 )
= $false )
| ( ( sK7_SY159 @ SV6 )
= $false )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV6 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(111,plain,
! [SV8: b,SV14: b] :
( ( ( sK5_SY110 @ SV14 )
= $false )
| ( ( sK5_SY110 @ SV8 )
= $false )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV8 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(112,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[70,111,110,109,108,107,106,105,104,79,72]) ).
thf(113,plain,
( ( ! [SY216: b,SY217: b] :
( ( ( sK5_SY110 @ SY216 )
& ( sK5_SY110 @ SY217 ) )
=> ( ( sK2_SY29 @ ( sK6_SY135 @ SY216 @ SY217 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SY216 ) @ ( sK2_SY29 @ SY217 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(114,plain,
( ( ! [SY194: b] :
( ( sK5_SY110 @ SY194 )
=> ( sK7_SY159 @ ( sK2_SY29 @ SY194 ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(115,plain,
( ( ! [SY213: a,SY214: a] :
( ( ( sK7_SY159 @ SY213 )
& ( sK7_SY159 @ SY214 ) )
=> ( sK7_SY159 @ ( sK8_SY182 @ SY213 @ SY214 ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(116,plain,
( ( ! [SY168: b,SY169: b] :
( ( ( sK5_SY110 @ SY168 )
& ( sK5_SY110 @ SY169 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY168 @ SY169 ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(117,plain,
( ( ! [SY166: g,SY167: g] :
( ( ( sK3_SY57 @ SY166 )
& ( sK3_SY57 @ SY167 ) )
=> ( ( sK1_Xh1 @ ( sK4_SY84 @ SY166 @ SY167 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SY166 ) @ ( sK1_Xh1 @ SY167 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(118,plain,
( ( ! [SY142: g] :
( ( sK3_SY57 @ SY142 )
=> ( sK5_SY110 @ ( sK1_Xh1 @ SY142 ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(119,plain,
( ( ! [SY163: b,SY164: b] :
( ( ( sK5_SY110 @ SY163 )
& ( sK5_SY110 @ SY164 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY163 @ SY164 ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(120,plain,
( ( ! [SY114: g,SY115: g] :
( ( ( sK3_SY57 @ SY114 )
& ( sK3_SY57 @ SY115 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY114 @ SY115 ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(121,plain,
( ( ~ ! [SY220: a,SY221: a] :
( ( ( sK7_SY159 @ SY220 )
& ( sK7_SY159 @ SY221 ) )
=> ( sK7_SY159 @ ( sK8_SY182 @ SY220 @ SY221 ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(122,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ~ ( ~ ( sK7_SY159 @ SX0 )
| ~ ( sK7_SY159 @ SX1 ) )
| ( sK7_SY159 @ ( sK8_SY182 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(123,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(124,plain,
( ( ! [SX0: b] :
( ~ ( sK5_SY110 @ SX0 )
| ( sK7_SY159 @ ( sK2_SY29 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(125,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 ) )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(126,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 ) )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SX0 @ SX1 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SX0 ) @ ( sK2_SY29 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(127,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(128,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 ) )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(129,plain,
( ( ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(130,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ~ ( ~ ( sK7_SY159 @ SX0 )
| ~ ( sK7_SY159 @ SX1 ) )
| ( sK7_SY159 @ ( sK8_SY182 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(131,plain,
! [SV15: a] :
( ( ! [SY232: a] :
( ~ ~ ( ~ ( sK7_SY159 @ SV15 )
| ~ ( sK7_SY159 @ SY232 ) )
| ( sK7_SY159 @ ( sK8_SY182 @ SV15 @ SY232 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(132,plain,
! [SV16: b] :
( ( ! [SY233: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SV16 )
| ~ ( sK5_SY110 @ SY233 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SV16 @ SY233 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(133,plain,
! [SV17: b] :
( ( ~ ( sK5_SY110 @ SV17 )
| ( sK7_SY159 @ ( sK2_SY29 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(134,plain,
! [SV18: g] :
( ( ! [SY234: g] :
( ~ ~ ( ~ ( sK3_SY57 @ SV18 )
| ~ ( sK3_SY57 @ SY234 ) )
| ( sK3_SY57 @ ( sK4_SY84 @ SV18 @ SY234 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(135,plain,
! [SV19: b] :
( ( ! [SY235: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SV19 )
| ~ ( sK5_SY110 @ SY235 ) )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SV19 @ SY235 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV19 ) @ ( sK2_SY29 @ SY235 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(136,plain,
! [SV20: b] :
( ( ! [SY236: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SV20 )
| ~ ( sK5_SY110 @ SY236 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SV20 @ SY236 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(137,plain,
! [SV21: g] :
( ( ! [SY237: g] :
( ~ ~ ( ~ ( sK3_SY57 @ SV21 )
| ~ ( sK3_SY57 @ SY237 ) )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SV21 @ SY237 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV21 ) @ ( sK1_Xh1 @ SY237 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(138,plain,
! [SV22: g] :
( ( ~ ( sK3_SY57 @ SV22 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(139,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ~ ( ~ ( sK7_SY159 @ SX0 )
| ~ ( sK7_SY159 @ SX1 ) )
| ( sK7_SY159 @ ( sK8_SY182 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(140,plain,
! [SV23: a,SV15: a] :
( ( ~ ~ ( ~ ( sK7_SY159 @ SV15 )
| ~ ( sK7_SY159 @ SV23 ) )
| ( sK7_SY159 @ ( sK8_SY182 @ SV15 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(141,plain,
! [SV24: b,SV16: b] :
( ( ~ ~ ( ~ ( sK5_SY110 @ SV16 )
| ~ ( sK5_SY110 @ SV24 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SV16 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(142,plain,
! [SV17: b] :
( ( ( ~ ( sK5_SY110 @ SV17 ) )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(143,plain,
! [SV25: g,SV18: g] :
( ( ~ ~ ( ~ ( sK3_SY57 @ SV18 )
| ~ ( sK3_SY57 @ SV25 ) )
| ( sK3_SY57 @ ( sK4_SY84 @ SV18 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(144,plain,
! [SV26: b,SV19: b] :
( ( ~ ~ ( ~ ( sK5_SY110 @ SV19 )
| ~ ( sK5_SY110 @ SV26 ) )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SV19 @ SV26 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV19 ) @ ( sK2_SY29 @ SV26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(145,plain,
! [SV27: b,SV20: b] :
( ( ~ ~ ( ~ ( sK5_SY110 @ SV20 )
| ~ ( sK5_SY110 @ SV27 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SV20 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(146,plain,
! [SV28: g,SV21: g] :
( ( ~ ~ ( ~ ( sK3_SY57 @ SV21 )
| ~ ( sK3_SY57 @ SV28 ) )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SV21 @ SV28 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV21 ) @ ( sK1_Xh1 @ SV28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(147,plain,
! [SV22: g] :
( ( ( ~ ( sK3_SY57 @ SV22 ) )
= $true )
| ( ( sK5_SY110 @ ( sK1_Xh1 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(148,plain,
( ( ! [SY238: a] :
( ~ ~ ( ~ ( sK7_SY159 @ sK11_SX0 )
| ~ ( sK7_SY159 @ SY238 ) )
| ( sK7_SY159 @ ( sK8_SY182 @ sK11_SX0 @ SY238 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[139]) ).
thf(149,plain,
! [SV23: a,SV15: a] :
( ( ( ~ ~ ( ~ ( sK7_SY159 @ SV15 )
| ~ ( sK7_SY159 @ SV23 ) ) )
= $true )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV15 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(150,plain,
! [SV24: b,SV16: b] :
( ( ( ~ ~ ( ~ ( sK5_SY110 @ SV16 )
| ~ ( sK5_SY110 @ SV24 ) ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV16 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(151,plain,
! [SV17: b] :
( ( ( sK5_SY110 @ SV17 )
= $false )
| ( ( sK7_SY159 @ ( sK2_SY29 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(152,plain,
! [SV25: g,SV18: g] :
( ( ( ~ ~ ( ~ ( sK3_SY57 @ SV18 )
| ~ ( sK3_SY57 @ SV25 ) ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV18 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(153,plain,
! [SV26: b,SV19: b] :
( ( ( ~ ~ ( ~ ( sK5_SY110 @ SV19 )
| ~ ( sK5_SY110 @ SV26 ) ) )
= $true )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV19 @ SV26 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV19 ) @ ( sK2_SY29 @ SV26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(154,plain,
! [SV27: b,SV20: b] :
( ( ( ~ ~ ( ~ ( sK5_SY110 @ SV20 )
| ~ ( sK5_SY110 @ SV27 ) ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV20 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(155,plain,
! [SV28: g,SV21: g] :
( ( ( ~ ~ ( ~ ( sK3_SY57 @ SV21 )
| ~ ( sK3_SY57 @ SV28 ) ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV21 @ SV28 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV21 ) @ ( sK1_Xh1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(156,plain,
! [SV22: g] :
( ( ( sK3_SY57 @ SV22 )
= $false )
| ( ( sK5_SY110 @ ( sK1_Xh1 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(157,plain,
( ( ~ ~ ( ~ ( sK7_SY159 @ sK11_SX0 )
| ~ ( sK7_SY159 @ sK12_SY238 ) )
| ( sK7_SY159 @ ( sK8_SY182 @ sK11_SX0 @ sK12_SY238 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[148]) ).
thf(158,plain,
! [SV23: a,SV15: a] :
( ( ( ~ ( ~ ( sK7_SY159 @ SV15 )
| ~ ( sK7_SY159 @ SV23 ) ) )
= $false )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV15 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(159,plain,
! [SV24: b,SV16: b] :
( ( ( ~ ( ~ ( sK5_SY110 @ SV16 )
| ~ ( sK5_SY110 @ SV24 ) ) )
= $false )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV16 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(160,plain,
! [SV25: g,SV18: g] :
( ( ( ~ ( ~ ( sK3_SY57 @ SV18 )
| ~ ( sK3_SY57 @ SV25 ) ) )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV18 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(161,plain,
! [SV26: b,SV19: b] :
( ( ( ~ ( ~ ( sK5_SY110 @ SV19 )
| ~ ( sK5_SY110 @ SV26 ) ) )
= $false )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV19 @ SV26 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV19 ) @ ( sK2_SY29 @ SV26 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(162,plain,
! [SV27: b,SV20: b] :
( ( ( ~ ( ~ ( sK5_SY110 @ SV20 )
| ~ ( sK5_SY110 @ SV27 ) ) )
= $false )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV20 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(163,plain,
! [SV28: g,SV21: g] :
( ( ( ~ ( ~ ( sK3_SY57 @ SV21 )
| ~ ( sK3_SY57 @ SV28 ) ) )
= $false )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV21 @ SV28 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV21 ) @ ( sK1_Xh1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(164,plain,
( ( ~ ~ ( ~ ( sK7_SY159 @ sK11_SX0 )
| ~ ( sK7_SY159 @ sK12_SY238 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(165,plain,
( ( sK7_SY159 @ ( sK8_SY182 @ sK11_SX0 @ sK12_SY238 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(166,plain,
! [SV23: a,SV15: a] :
( ( ( ~ ( sK7_SY159 @ SV15 )
| ~ ( sK7_SY159 @ SV23 ) )
= $true )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV15 @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(167,plain,
! [SV24: b,SV16: b] :
( ( ( ~ ( sK5_SY110 @ SV16 )
| ~ ( sK5_SY110 @ SV24 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV16 @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(168,plain,
! [SV25: g,SV18: g] :
( ( ( ~ ( sK3_SY57 @ SV18 )
| ~ ( sK3_SY57 @ SV25 ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV18 @ SV25 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(169,plain,
! [SV26: b,SV19: b] :
( ( ( ~ ( sK5_SY110 @ SV19 )
| ~ ( sK5_SY110 @ SV26 ) )
= $true )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV19 @ SV26 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV19 ) @ ( sK2_SY29 @ SV26 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(170,plain,
! [SV27: b,SV20: b] :
( ( ( ~ ( sK5_SY110 @ SV20 )
| ~ ( sK5_SY110 @ SV27 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV20 @ SV27 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(171,plain,
! [SV28: g,SV21: g] :
( ( ( ~ ( sK3_SY57 @ SV21 )
| ~ ( sK3_SY57 @ SV28 ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV21 @ SV28 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV21 ) @ ( sK1_Xh1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(172,plain,
( ( ~ ( ~ ( sK7_SY159 @ sK11_SX0 )
| ~ ( sK7_SY159 @ sK12_SY238 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(173,plain,
! [SV23: a,SV15: a] :
( ( ( ~ ( sK7_SY159 @ SV15 ) )
= $true )
| ( ( ~ ( sK7_SY159 @ SV23 ) )
= $true )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV15 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(174,plain,
! [SV24: b,SV16: b] :
( ( ( ~ ( sK5_SY110 @ SV16 ) )
= $true )
| ( ( ~ ( sK5_SY110 @ SV24 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV16 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(175,plain,
! [SV25: g,SV18: g] :
( ( ( ~ ( sK3_SY57 @ SV18 ) )
= $true )
| ( ( ~ ( sK3_SY57 @ SV25 ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV18 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(176,plain,
! [SV26: b,SV19: b] :
( ( ( ~ ( sK5_SY110 @ SV19 ) )
= $true )
| ( ( ~ ( sK5_SY110 @ SV26 ) )
= $true )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV19 @ SV26 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV19 ) @ ( sK2_SY29 @ SV26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(177,plain,
! [SV27: b,SV20: b] :
( ( ( ~ ( sK5_SY110 @ SV20 ) )
= $true )
| ( ( ~ ( sK5_SY110 @ SV27 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV20 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(178,plain,
! [SV28: g,SV21: g] :
( ( ( ~ ( sK3_SY57 @ SV21 ) )
= $true )
| ( ( ~ ( sK3_SY57 @ SV28 ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV21 @ SV28 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV21 ) @ ( sK1_Xh1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(179,plain,
( ( ~ ( sK7_SY159 @ sK11_SX0 )
| ~ ( sK7_SY159 @ sK12_SY238 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(180,plain,
! [SV23: a,SV15: a] :
( ( ( sK7_SY159 @ SV15 )
= $false )
| ( ( ~ ( sK7_SY159 @ SV23 ) )
= $true )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV15 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(181,plain,
! [SV24: b,SV16: b] :
( ( ( sK5_SY110 @ SV16 )
= $false )
| ( ( ~ ( sK5_SY110 @ SV24 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV16 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(182,plain,
! [SV25: g,SV18: g] :
( ( ( sK3_SY57 @ SV18 )
= $false )
| ( ( ~ ( sK3_SY57 @ SV25 ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV18 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(183,plain,
! [SV26: b,SV19: b] :
( ( ( sK5_SY110 @ SV19 )
= $false )
| ( ( ~ ( sK5_SY110 @ SV26 ) )
= $true )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV19 @ SV26 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV19 ) @ ( sK2_SY29 @ SV26 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(184,plain,
! [SV27: b,SV20: b] :
( ( ( sK5_SY110 @ SV20 )
= $false )
| ( ( ~ ( sK5_SY110 @ SV27 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV20 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(185,plain,
! [SV28: g,SV21: g] :
( ( ( sK3_SY57 @ SV21 )
= $false )
| ( ( ~ ( sK3_SY57 @ SV28 ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV21 @ SV28 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV21 ) @ ( sK1_Xh1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(186,plain,
( ( ~ ( sK7_SY159 @ sK11_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[179]) ).
thf(187,plain,
( ( ~ ( sK7_SY159 @ sK12_SY238 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[179]) ).
thf(188,plain,
! [SV15: a,SV23: a] :
( ( ( sK7_SY159 @ SV23 )
= $false )
| ( ( sK7_SY159 @ SV15 )
= $false )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV15 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(189,plain,
! [SV16: b,SV24: b] :
( ( ( sK5_SY110 @ SV24 )
= $false )
| ( ( sK5_SY110 @ SV16 )
= $false )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV16 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(190,plain,
! [SV18: g,SV25: g] :
( ( ( sK3_SY57 @ SV25 )
= $false )
| ( ( sK3_SY57 @ SV18 )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV18 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(191,plain,
! [SV19: b,SV26: b] :
( ( ( sK5_SY110 @ SV26 )
= $false )
| ( ( sK5_SY110 @ SV19 )
= $false )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV19 @ SV26 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV19 ) @ ( sK2_SY29 @ SV26 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(192,plain,
! [SV20: b,SV27: b] :
( ( ( sK5_SY110 @ SV27 )
= $false )
| ( ( sK5_SY110 @ SV20 )
= $false )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV20 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(193,plain,
! [SV21: g,SV28: g] :
( ( ( sK3_SY57 @ SV28 )
= $false )
| ( ( sK3_SY57 @ SV21 )
= $false )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV21 @ SV28 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV21 ) @ ( sK1_Xh1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(194,plain,
( ( sK7_SY159 @ sK11_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(195,plain,
( ( sK7_SY159 @ sK12_SY238 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(196,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[151,195,194,193,192,191,190,189,188,165,156]) ).
thf(197,plain,
( ( ! [SY216: b,SY217: b] :
( ( ( sK5_SY110 @ SY216 )
& ( sK5_SY110 @ SY217 ) )
=> ( ( sK2_SY29 @ ( sK6_SY135 @ SY216 @ SY217 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SY216 ) @ ( sK2_SY29 @ SY217 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(198,plain,
( ( ! [SY194: b] :
( ( sK5_SY110 @ SY194 )
=> ( sK7_SY159 @ ( sK2_SY29 @ SY194 ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(199,plain,
( ( ! [SY213: a,SY214: a] :
( ( ( sK7_SY159 @ SY213 )
& ( sK7_SY159 @ SY214 ) )
=> ( sK7_SY159 @ ( sK8_SY182 @ SY213 @ SY214 ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(200,plain,
( ( ! [SY168: b,SY169: b] :
( ( ( sK5_SY110 @ SY168 )
& ( sK5_SY110 @ SY169 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY168 @ SY169 ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(201,plain,
( ( ! [SY166: g,SY167: g] :
( ( ( sK3_SY57 @ SY166 )
& ( sK3_SY57 @ SY167 ) )
=> ( ( sK1_Xh1 @ ( sK4_SY84 @ SY166 @ SY167 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SY166 ) @ ( sK1_Xh1 @ SY167 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(202,plain,
( ( ! [SY142: g] :
( ( sK3_SY57 @ SY142 )
=> ( sK5_SY110 @ ( sK1_Xh1 @ SY142 ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(203,plain,
( ( ! [SY163: b,SY164: b] :
( ( ( sK5_SY110 @ SY163 )
& ( sK5_SY110 @ SY164 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY163 @ SY164 ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(204,plain,
( ( ! [SY114: g,SY115: g] :
( ( ( sK3_SY57 @ SY114 )
& ( sK3_SY57 @ SY115 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY114 @ SY115 ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(205,plain,
( ( ~ ! [SY201: g] :
( ( sK3_SY57 @ SY201 )
=> ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY201 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(206,plain,
( ( ! [SX0: b] :
( ~ ( sK5_SY110 @ SX0 )
| ( sK7_SY159 @ ( sK2_SY29 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(207,plain,
( ( ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(208,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 ) )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SX0 @ SX1 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SX0 ) @ ( sK2_SY29 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(209,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(210,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 ) )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(211,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(212,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ~ ( ~ ( sK7_SY159 @ SX0 )
| ~ ( sK7_SY159 @ SX1 ) )
| ( sK7_SY159 @ ( sK8_SY182 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(213,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 ) )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[204]) ).
thf(214,plain,
( ( ~ ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(215,plain,
! [SV29: b] :
( ( ~ ( sK5_SY110 @ SV29 )
| ( sK7_SY159 @ ( sK2_SY29 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(216,plain,
! [SV30: g] :
( ( ~ ( sK3_SY57 @ SV30 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(217,plain,
! [SV31: b] :
( ( ! [SY239: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SV31 )
| ~ ( sK5_SY110 @ SY239 ) )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SV31 @ SY239 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV31 ) @ ( sK2_SY29 @ SY239 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(218,plain,
! [SV32: b] :
( ( ! [SY240: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SV32 )
| ~ ( sK5_SY110 @ SY240 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SV32 @ SY240 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(219,plain,
! [SV33: g] :
( ( ! [SY241: g] :
( ~ ~ ( ~ ( sK3_SY57 @ SV33 )
| ~ ( sK3_SY57 @ SY241 ) )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SV33 @ SY241 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV33 ) @ ( sK1_Xh1 @ SY241 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(220,plain,
! [SV34: b] :
( ( ! [SY242: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SV34 )
| ~ ( sK5_SY110 @ SY242 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SV34 @ SY242 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(221,plain,
! [SV35: a] :
( ( ! [SY243: a] :
( ~ ~ ( ~ ( sK7_SY159 @ SV35 )
| ~ ( sK7_SY159 @ SY243 ) )
| ( sK7_SY159 @ ( sK8_SY182 @ SV35 @ SY243 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(222,plain,
! [SV36: g] :
( ( ! [SY244: g] :
( ~ ~ ( ~ ( sK3_SY57 @ SV36 )
| ~ ( sK3_SY57 @ SY244 ) )
| ( sK3_SY57 @ ( sK4_SY84 @ SV36 @ SY244 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(223,plain,
( ( ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(224,plain,
! [SV29: b] :
( ( ( ~ ( sK5_SY110 @ SV29 ) )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(225,plain,
! [SV30: g] :
( ( ( ~ ( sK3_SY57 @ SV30 ) )
= $true )
| ( ( sK5_SY110 @ ( sK1_Xh1 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(226,plain,
! [SV37: b,SV31: b] :
( ( ~ ~ ( ~ ( sK5_SY110 @ SV31 )
| ~ ( sK5_SY110 @ SV37 ) )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SV31 @ SV37 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV31 ) @ ( sK2_SY29 @ SV37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(227,plain,
! [SV38: b,SV32: b] :
( ( ~ ~ ( ~ ( sK5_SY110 @ SV32 )
| ~ ( sK5_SY110 @ SV38 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SV32 @ SV38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(228,plain,
! [SV39: g,SV33: g] :
( ( ~ ~ ( ~ ( sK3_SY57 @ SV33 )
| ~ ( sK3_SY57 @ SV39 ) )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SV33 @ SV39 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV33 ) @ ( sK1_Xh1 @ SV39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(229,plain,
! [SV40: b,SV34: b] :
( ( ~ ~ ( ~ ( sK5_SY110 @ SV34 )
| ~ ( sK5_SY110 @ SV40 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SV34 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(230,plain,
! [SV41: a,SV35: a] :
( ( ~ ~ ( ~ ( sK7_SY159 @ SV35 )
| ~ ( sK7_SY159 @ SV41 ) )
| ( sK7_SY159 @ ( sK8_SY182 @ SV35 @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(231,plain,
! [SV42: g,SV36: g] :
( ( ~ ~ ( ~ ( sK3_SY57 @ SV36 )
| ~ ( sK3_SY57 @ SV42 ) )
| ( sK3_SY57 @ ( sK4_SY84 @ SV36 @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(232,plain,
( ( ~ ( sK3_SY57 @ sK13_SX0 )
| ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SX0 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[223]) ).
thf(233,plain,
! [SV29: b] :
( ( ( sK5_SY110 @ SV29 )
= $false )
| ( ( sK7_SY159 @ ( sK2_SY29 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(234,plain,
! [SV30: g] :
( ( ( sK3_SY57 @ SV30 )
= $false )
| ( ( sK5_SY110 @ ( sK1_Xh1 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(235,plain,
! [SV37: b,SV31: b] :
( ( ( ~ ~ ( ~ ( sK5_SY110 @ SV31 )
| ~ ( sK5_SY110 @ SV37 ) ) )
= $true )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV31 @ SV37 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV31 ) @ ( sK2_SY29 @ SV37 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(236,plain,
! [SV38: b,SV32: b] :
( ( ( ~ ~ ( ~ ( sK5_SY110 @ SV32 )
| ~ ( sK5_SY110 @ SV38 ) ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV32 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(237,plain,
! [SV39: g,SV33: g] :
( ( ( ~ ~ ( ~ ( sK3_SY57 @ SV33 )
| ~ ( sK3_SY57 @ SV39 ) ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV33 @ SV39 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV33 ) @ ( sK1_Xh1 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(238,plain,
! [SV40: b,SV34: b] :
( ( ( ~ ~ ( ~ ( sK5_SY110 @ SV34 )
| ~ ( sK5_SY110 @ SV40 ) ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV34 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(239,plain,
! [SV41: a,SV35: a] :
( ( ( ~ ~ ( ~ ( sK7_SY159 @ SV35 )
| ~ ( sK7_SY159 @ SV41 ) ) )
= $true )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV35 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(240,plain,
! [SV42: g,SV36: g] :
( ( ( ~ ~ ( ~ ( sK3_SY57 @ SV36 )
| ~ ( sK3_SY57 @ SV42 ) ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV36 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(241,plain,
( ( ~ ( sK3_SY57 @ sK13_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(242,plain,
( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(243,plain,
! [SV37: b,SV31: b] :
( ( ( ~ ( ~ ( sK5_SY110 @ SV31 )
| ~ ( sK5_SY110 @ SV37 ) ) )
= $false )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV31 @ SV37 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV31 ) @ ( sK2_SY29 @ SV37 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(244,plain,
! [SV38: b,SV32: b] :
( ( ( ~ ( ~ ( sK5_SY110 @ SV32 )
| ~ ( sK5_SY110 @ SV38 ) ) )
= $false )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV32 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(245,plain,
! [SV39: g,SV33: g] :
( ( ( ~ ( ~ ( sK3_SY57 @ SV33 )
| ~ ( sK3_SY57 @ SV39 ) ) )
= $false )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV33 @ SV39 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV33 ) @ ( sK1_Xh1 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(246,plain,
! [SV40: b,SV34: b] :
( ( ( ~ ( ~ ( sK5_SY110 @ SV34 )
| ~ ( sK5_SY110 @ SV40 ) ) )
= $false )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV34 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(247,plain,
! [SV41: a,SV35: a] :
( ( ( ~ ( ~ ( sK7_SY159 @ SV35 )
| ~ ( sK7_SY159 @ SV41 ) ) )
= $false )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV35 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(248,plain,
! [SV42: g,SV36: g] :
( ( ( ~ ( ~ ( sK3_SY57 @ SV36 )
| ~ ( sK3_SY57 @ SV42 ) ) )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV36 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(249,plain,
( ( sK3_SY57 @ sK13_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(250,plain,
! [SV37: b,SV31: b] :
( ( ( ~ ( sK5_SY110 @ SV31 )
| ~ ( sK5_SY110 @ SV37 ) )
= $true )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV31 @ SV37 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV31 ) @ ( sK2_SY29 @ SV37 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(251,plain,
! [SV38: b,SV32: b] :
( ( ( ~ ( sK5_SY110 @ SV32 )
| ~ ( sK5_SY110 @ SV38 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV32 @ SV38 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(252,plain,
! [SV39: g,SV33: g] :
( ( ( ~ ( sK3_SY57 @ SV33 )
| ~ ( sK3_SY57 @ SV39 ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV33 @ SV39 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV33 ) @ ( sK1_Xh1 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(253,plain,
! [SV40: b,SV34: b] :
( ( ( ~ ( sK5_SY110 @ SV34 )
| ~ ( sK5_SY110 @ SV40 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV34 @ SV40 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(254,plain,
! [SV41: a,SV35: a] :
( ( ( ~ ( sK7_SY159 @ SV35 )
| ~ ( sK7_SY159 @ SV41 ) )
= $true )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV35 @ SV41 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(255,plain,
! [SV42: g,SV36: g] :
( ( ( ~ ( sK3_SY57 @ SV36 )
| ~ ( sK3_SY57 @ SV42 ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV36 @ SV42 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(256,plain,
! [SV37: b,SV31: b] :
( ( ( ~ ( sK5_SY110 @ SV31 ) )
= $true )
| ( ( ~ ( sK5_SY110 @ SV37 ) )
= $true )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV31 @ SV37 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV31 ) @ ( sK2_SY29 @ SV37 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(257,plain,
! [SV38: b,SV32: b] :
( ( ( ~ ( sK5_SY110 @ SV32 ) )
= $true )
| ( ( ~ ( sK5_SY110 @ SV38 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV32 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(258,plain,
! [SV39: g,SV33: g] :
( ( ( ~ ( sK3_SY57 @ SV33 ) )
= $true )
| ( ( ~ ( sK3_SY57 @ SV39 ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV33 @ SV39 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV33 ) @ ( sK1_Xh1 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(259,plain,
! [SV40: b,SV34: b] :
( ( ( ~ ( sK5_SY110 @ SV34 ) )
= $true )
| ( ( ~ ( sK5_SY110 @ SV40 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV34 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(260,plain,
! [SV41: a,SV35: a] :
( ( ( ~ ( sK7_SY159 @ SV35 ) )
= $true )
| ( ( ~ ( sK7_SY159 @ SV41 ) )
= $true )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV35 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(261,plain,
! [SV42: g,SV36: g] :
( ( ( ~ ( sK3_SY57 @ SV36 ) )
= $true )
| ( ( ~ ( sK3_SY57 @ SV42 ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV36 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(262,plain,
! [SV37: b,SV31: b] :
( ( ( sK5_SY110 @ SV31 )
= $false )
| ( ( ~ ( sK5_SY110 @ SV37 ) )
= $true )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV31 @ SV37 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV31 ) @ ( sK2_SY29 @ SV37 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(263,plain,
! [SV38: b,SV32: b] :
( ( ( sK5_SY110 @ SV32 )
= $false )
| ( ( ~ ( sK5_SY110 @ SV38 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV32 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(264,plain,
! [SV39: g,SV33: g] :
( ( ( sK3_SY57 @ SV33 )
= $false )
| ( ( ~ ( sK3_SY57 @ SV39 ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV33 @ SV39 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV33 ) @ ( sK1_Xh1 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(265,plain,
! [SV40: b,SV34: b] :
( ( ( sK5_SY110 @ SV34 )
= $false )
| ( ( ~ ( sK5_SY110 @ SV40 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV34 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(266,plain,
! [SV41: a,SV35: a] :
( ( ( sK7_SY159 @ SV35 )
= $false )
| ( ( ~ ( sK7_SY159 @ SV41 ) )
= $true )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV35 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(267,plain,
! [SV42: g,SV36: g] :
( ( ( sK3_SY57 @ SV36 )
= $false )
| ( ( ~ ( sK3_SY57 @ SV42 ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV36 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(268,plain,
! [SV31: b,SV37: b] :
( ( ( sK5_SY110 @ SV37 )
= $false )
| ( ( sK5_SY110 @ SV31 )
= $false )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV31 @ SV37 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV31 ) @ ( sK2_SY29 @ SV37 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(269,plain,
! [SV32: b,SV38: b] :
( ( ( sK5_SY110 @ SV38 )
= $false )
| ( ( sK5_SY110 @ SV32 )
= $false )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV32 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(270,plain,
! [SV33: g,SV39: g] :
( ( ( sK3_SY57 @ SV39 )
= $false )
| ( ( sK3_SY57 @ SV33 )
= $false )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV33 @ SV39 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV33 ) @ ( sK1_Xh1 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(271,plain,
! [SV34: b,SV40: b] :
( ( ( sK5_SY110 @ SV40 )
= $false )
| ( ( sK5_SY110 @ SV34 )
= $false )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV34 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(272,plain,
! [SV35: a,SV41: a] :
( ( ( sK7_SY159 @ SV41 )
= $false )
| ( ( sK7_SY159 @ SV35 )
= $false )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV35 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(273,plain,
! [SV36: g,SV42: g] :
( ( ( sK3_SY57 @ SV42 )
= $false )
| ( ( sK3_SY57 @ SV36 )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV36 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(274,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[233,273,272,271,270,269,268,249,242,234]) ).
thf(275,plain,
( ( ! [SY216: b,SY217: b] :
( ( ( sK5_SY110 @ SY216 )
& ( sK5_SY110 @ SY217 ) )
=> ( ( sK2_SY29 @ ( sK6_SY135 @ SY216 @ SY217 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SY216 ) @ ( sK2_SY29 @ SY217 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(276,plain,
( ( ! [SY194: b] :
( ( sK5_SY110 @ SY194 )
=> ( sK7_SY159 @ ( sK2_SY29 @ SY194 ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(277,plain,
( ( ! [SY213: a,SY214: a] :
( ( ( sK7_SY159 @ SY213 )
& ( sK7_SY159 @ SY214 ) )
=> ( sK7_SY159 @ ( sK8_SY182 @ SY213 @ SY214 ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(278,plain,
( ( ! [SY168: b,SY169: b] :
( ( ( sK5_SY110 @ SY168 )
& ( sK5_SY110 @ SY169 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY168 @ SY169 ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(279,plain,
( ( ! [SY166: g,SY167: g] :
( ( ( sK3_SY57 @ SY166 )
& ( sK3_SY57 @ SY167 ) )
=> ( ( sK1_Xh1 @ ( sK4_SY84 @ SY166 @ SY167 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SY166 ) @ ( sK1_Xh1 @ SY167 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(280,plain,
( ( ! [SY142: g] :
( ( sK3_SY57 @ SY142 )
=> ( sK5_SY110 @ ( sK1_Xh1 @ SY142 ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(281,plain,
( ( ! [SY163: b,SY164: b] :
( ( ( sK5_SY110 @ SY163 )
& ( sK5_SY110 @ SY164 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY163 @ SY164 ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(282,plain,
( ( ! [SY114: g,SY115: g] :
( ( ( sK3_SY57 @ SY114 )
& ( sK3_SY57 @ SY115 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY114 @ SY115 ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(283,plain,
( ( ~ ! [SY223: g,SY224: g] :
( ( ( sK3_SY57 @ SY223 )
& ( sK3_SY57 @ SY224 )
& ( sK3_SY57 @ SY223 )
& ( sK3_SY57 @ SY224 ) )
=> ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ SY223 @ SY224 ) ) )
= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY223 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY224 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(284,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 ) )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(285,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[278]) ).
thf(286,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[281]) ).
thf(287,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 ) )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SX0 @ SX1 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SX0 ) @ ( sK2_SY29 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[275]) ).
thf(288,plain,
( ( ~ ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 ) )
| ~ ( sK3_SY57 @ SX0 ) )
| ~ ( sK3_SY57 @ SX1 ) )
| ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ SX0 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[283]) ).
thf(289,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ~ ( ~ ( sK7_SY159 @ SX0 )
| ~ ( sK7_SY159 @ SX1 ) )
| ( sK7_SY159 @ ( sK8_SY182 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(290,plain,
( ( ! [SX0: b] :
( ~ ( sK5_SY110 @ SX0 )
| ( sK7_SY159 @ ( sK2_SY29 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[276]) ).
thf(291,plain,
( ( ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[280]) ).
thf(292,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 ) )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(293,plain,
! [SV43: g] :
( ( ! [SY245: g] :
( ~ ~ ( ~ ( sK3_SY57 @ SV43 )
| ~ ( sK3_SY57 @ SY245 ) )
| ( sK3_SY57 @ ( sK4_SY84 @ SV43 @ SY245 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(294,plain,
! [SV44: b] :
( ( ! [SY246: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SV44 )
| ~ ( sK5_SY110 @ SY246 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SV44 @ SY246 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(295,plain,
! [SV45: b] :
( ( ! [SY247: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SV45 )
| ~ ( sK5_SY110 @ SY247 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SV45 @ SY247 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(296,plain,
! [SV46: b] :
( ( ! [SY248: b] :
( ~ ~ ( ~ ( sK5_SY110 @ SV46 )
| ~ ( sK5_SY110 @ SY248 ) )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SV46 @ SY248 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV46 ) @ ( sK2_SY29 @ SY248 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(297,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 ) )
| ~ ( sK3_SY57 @ SX0 ) )
| ~ ( sK3_SY57 @ SX1 ) )
| ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ SX0 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(298,plain,
! [SV47: a] :
( ( ! [SY249: a] :
( ~ ~ ( ~ ( sK7_SY159 @ SV47 )
| ~ ( sK7_SY159 @ SY249 ) )
| ( sK7_SY159 @ ( sK8_SY182 @ SV47 @ SY249 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(299,plain,
! [SV48: b] :
( ( ~ ( sK5_SY110 @ SV48 )
| ( sK7_SY159 @ ( sK2_SY29 @ SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(300,plain,
! [SV49: g] :
( ( ~ ( sK3_SY57 @ SV49 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(301,plain,
! [SV50: g] :
( ( ! [SY250: g] :
( ~ ~ ( ~ ( sK3_SY57 @ SV50 )
| ~ ( sK3_SY57 @ SY250 ) )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SV50 @ SY250 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV50 ) @ ( sK1_Xh1 @ SY250 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(302,plain,
! [SV51: g,SV43: g] :
( ( ~ ~ ( ~ ( sK3_SY57 @ SV43 )
| ~ ( sK3_SY57 @ SV51 ) )
| ( sK3_SY57 @ ( sK4_SY84 @ SV43 @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(303,plain,
! [SV52: b,SV44: b] :
( ( ~ ~ ( ~ ( sK5_SY110 @ SV44 )
| ~ ( sK5_SY110 @ SV52 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SV44 @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(304,plain,
! [SV53: b,SV45: b] :
( ( ~ ~ ( ~ ( sK5_SY110 @ SV45 )
| ~ ( sK5_SY110 @ SV53 ) )
| ( sK5_SY110 @ ( sK6_SY135 @ SV45 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(305,plain,
! [SV54: b,SV46: b] :
( ( ~ ~ ( ~ ( sK5_SY110 @ SV46 )
| ~ ( sK5_SY110 @ SV54 ) )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SV46 @ SV54 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV46 ) @ ( sK2_SY29 @ SV54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(306,plain,
( ( ! [SY251: g] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK14_SX0 )
| ~ ( sK3_SY57 @ SY251 ) )
| ~ ( sK3_SY57 @ sK14_SX0 ) )
| ~ ( sK3_SY57 @ SY251 ) )
| ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ sK14_SX0 @ SY251 ) ) )
= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK14_SX0 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY251 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[297]) ).
thf(307,plain,
! [SV55: a,SV47: a] :
( ( ~ ~ ( ~ ( sK7_SY159 @ SV47 )
| ~ ( sK7_SY159 @ SV55 ) )
| ( sK7_SY159 @ ( sK8_SY182 @ SV47 @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(308,plain,
! [SV48: b] :
( ( ( ~ ( sK5_SY110 @ SV48 ) )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ SV48 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(309,plain,
! [SV49: g] :
( ( ( ~ ( sK3_SY57 @ SV49 ) )
= $true )
| ( ( sK5_SY110 @ ( sK1_Xh1 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(310,plain,
! [SV56: g,SV50: g] :
( ( ~ ~ ( ~ ( sK3_SY57 @ SV50 )
| ~ ( sK3_SY57 @ SV56 ) )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SV50 @ SV56 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV50 ) @ ( sK1_Xh1 @ SV56 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(311,plain,
! [SV51: g,SV43: g] :
( ( ( ~ ~ ( ~ ( sK3_SY57 @ SV43 )
| ~ ( sK3_SY57 @ SV51 ) ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV43 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(312,plain,
! [SV52: b,SV44: b] :
( ( ( ~ ~ ( ~ ( sK5_SY110 @ SV44 )
| ~ ( sK5_SY110 @ SV52 ) ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV44 @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(313,plain,
! [SV53: b,SV45: b] :
( ( ( ~ ~ ( ~ ( sK5_SY110 @ SV45 )
| ~ ( sK5_SY110 @ SV53 ) ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV45 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(314,plain,
! [SV54: b,SV46: b] :
( ( ( ~ ~ ( ~ ( sK5_SY110 @ SV46 )
| ~ ( sK5_SY110 @ SV54 ) ) )
= $true )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV46 @ SV54 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV46 ) @ ( sK2_SY29 @ SV54 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(315,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK14_SX0 )
| ~ ( sK3_SY57 @ sK15_SY251 ) )
| ~ ( sK3_SY57 @ sK14_SX0 ) )
| ~ ( sK3_SY57 @ sK15_SY251 ) )
| ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ sK14_SX0 @ sK15_SY251 ) ) )
= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK14_SX0 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ sK15_SY251 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[306]) ).
thf(316,plain,
! [SV55: a,SV47: a] :
( ( ( ~ ~ ( ~ ( sK7_SY159 @ SV47 )
| ~ ( sK7_SY159 @ SV55 ) ) )
= $true )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV47 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(317,plain,
! [SV48: b] :
( ( ( sK5_SY110 @ SV48 )
= $false )
| ( ( sK7_SY159 @ ( sK2_SY29 @ SV48 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(318,plain,
! [SV49: g] :
( ( ( sK3_SY57 @ SV49 )
= $false )
| ( ( sK5_SY110 @ ( sK1_Xh1 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(319,plain,
! [SV56: g,SV50: g] :
( ( ( ~ ~ ( ~ ( sK3_SY57 @ SV50 )
| ~ ( sK3_SY57 @ SV56 ) ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV50 @ SV56 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV50 ) @ ( sK1_Xh1 @ SV56 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(320,plain,
! [SV51: g,SV43: g] :
( ( ( ~ ( ~ ( sK3_SY57 @ SV43 )
| ~ ( sK3_SY57 @ SV51 ) ) )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV43 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(321,plain,
! [SV52: b,SV44: b] :
( ( ( ~ ( ~ ( sK5_SY110 @ SV44 )
| ~ ( sK5_SY110 @ SV52 ) ) )
= $false )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV44 @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(322,plain,
! [SV53: b,SV45: b] :
( ( ( ~ ( ~ ( sK5_SY110 @ SV45 )
| ~ ( sK5_SY110 @ SV53 ) ) )
= $false )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV45 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(323,plain,
! [SV54: b,SV46: b] :
( ( ( ~ ( ~ ( sK5_SY110 @ SV46 )
| ~ ( sK5_SY110 @ SV54 ) ) )
= $false )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV46 @ SV54 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV46 ) @ ( sK2_SY29 @ SV54 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(324,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK14_SX0 )
| ~ ( sK3_SY57 @ sK15_SY251 ) )
| ~ ( sK3_SY57 @ sK14_SX0 ) )
| ~ ( sK3_SY57 @ sK15_SY251 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(325,plain,
( ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ sK14_SX0 @ sK15_SY251 ) ) )
= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK14_SX0 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ sK15_SY251 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(326,plain,
! [SV55: a,SV47: a] :
( ( ( ~ ( ~ ( sK7_SY159 @ SV47 )
| ~ ( sK7_SY159 @ SV55 ) ) )
= $false )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV47 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(327,plain,
! [SV56: g,SV50: g] :
( ( ( ~ ( ~ ( sK3_SY57 @ SV50 )
| ~ ( sK3_SY57 @ SV56 ) ) )
= $false )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV50 @ SV56 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV50 ) @ ( sK1_Xh1 @ SV56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(328,plain,
! [SV51: g,SV43: g] :
( ( ( ~ ( sK3_SY57 @ SV43 )
| ~ ( sK3_SY57 @ SV51 ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV43 @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(329,plain,
! [SV52: b,SV44: b] :
( ( ( ~ ( sK5_SY110 @ SV44 )
| ~ ( sK5_SY110 @ SV52 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV44 @ SV52 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(330,plain,
! [SV53: b,SV45: b] :
( ( ( ~ ( sK5_SY110 @ SV45 )
| ~ ( sK5_SY110 @ SV53 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV45 @ SV53 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(331,plain,
! [SV54: b,SV46: b] :
( ( ( ~ ( sK5_SY110 @ SV46 )
| ~ ( sK5_SY110 @ SV54 ) )
= $true )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV46 @ SV54 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV46 ) @ ( sK2_SY29 @ SV54 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(332,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK14_SX0 )
| ~ ( sK3_SY57 @ sK15_SY251 ) )
| ~ ( sK3_SY57 @ sK14_SX0 ) )
| ~ ( sK3_SY57 @ sK15_SY251 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(333,plain,
! [SV55: a,SV47: a] :
( ( ( ~ ( sK7_SY159 @ SV47 )
| ~ ( sK7_SY159 @ SV55 ) )
= $true )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV47 @ SV55 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(334,plain,
! [SV56: g,SV50: g] :
( ( ( ~ ( sK3_SY57 @ SV50 )
| ~ ( sK3_SY57 @ SV56 ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV50 @ SV56 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV50 ) @ ( sK1_Xh1 @ SV56 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(335,plain,
! [SV51: g,SV43: g] :
( ( ( ~ ( sK3_SY57 @ SV43 ) )
= $true )
| ( ( ~ ( sK3_SY57 @ SV51 ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV43 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(336,plain,
! [SV52: b,SV44: b] :
( ( ( ~ ( sK5_SY110 @ SV44 ) )
= $true )
| ( ( ~ ( sK5_SY110 @ SV52 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV44 @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(337,plain,
! [SV53: b,SV45: b] :
( ( ( ~ ( sK5_SY110 @ SV45 ) )
= $true )
| ( ( ~ ( sK5_SY110 @ SV53 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV45 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(338,plain,
! [SV54: b,SV46: b] :
( ( ( ~ ( sK5_SY110 @ SV46 ) )
= $true )
| ( ( ~ ( sK5_SY110 @ SV54 ) )
= $true )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV46 @ SV54 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV46 ) @ ( sK2_SY29 @ SV54 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(339,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK14_SX0 )
| ~ ( sK3_SY57 @ sK15_SY251 ) )
| ~ ( sK3_SY57 @ sK14_SX0 ) )
| ~ ( sK3_SY57 @ sK15_SY251 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(340,plain,
! [SV55: a,SV47: a] :
( ( ( ~ ( sK7_SY159 @ SV47 ) )
= $true )
| ( ( ~ ( sK7_SY159 @ SV55 ) )
= $true )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV47 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(341,plain,
! [SV56: g,SV50: g] :
( ( ( ~ ( sK3_SY57 @ SV50 ) )
= $true )
| ( ( ~ ( sK3_SY57 @ SV56 ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV50 @ SV56 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV50 ) @ ( sK1_Xh1 @ SV56 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(342,plain,
! [SV51: g,SV43: g] :
( ( ( sK3_SY57 @ SV43 )
= $false )
| ( ( ~ ( sK3_SY57 @ SV51 ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV43 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(343,plain,
! [SV52: b,SV44: b] :
( ( ( sK5_SY110 @ SV44 )
= $false )
| ( ( ~ ( sK5_SY110 @ SV52 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV44 @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(344,plain,
! [SV53: b,SV45: b] :
( ( ( sK5_SY110 @ SV45 )
= $false )
| ( ( ~ ( sK5_SY110 @ SV53 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV45 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(345,plain,
! [SV54: b,SV46: b] :
( ( ( sK5_SY110 @ SV46 )
= $false )
| ( ( ~ ( sK5_SY110 @ SV54 ) )
= $true )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV46 @ SV54 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV46 ) @ ( sK2_SY29 @ SV54 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(346,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK14_SX0 )
| ~ ( sK3_SY57 @ sK15_SY251 ) )
| ~ ( sK3_SY57 @ sK14_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(347,plain,
( ( ~ ( sK3_SY57 @ sK15_SY251 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(348,plain,
! [SV55: a,SV47: a] :
( ( ( sK7_SY159 @ SV47 )
= $false )
| ( ( ~ ( sK7_SY159 @ SV55 ) )
= $true )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV47 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(349,plain,
! [SV56: g,SV50: g] :
( ( ( sK3_SY57 @ SV50 )
= $false )
| ( ( ~ ( sK3_SY57 @ SV56 ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV50 @ SV56 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV50 ) @ ( sK1_Xh1 @ SV56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(350,plain,
! [SV43: g,SV51: g] :
( ( ( sK3_SY57 @ SV51 )
= $false )
| ( ( sK3_SY57 @ SV43 )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV43 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(351,plain,
! [SV44: b,SV52: b] :
( ( ( sK5_SY110 @ SV52 )
= $false )
| ( ( sK5_SY110 @ SV44 )
= $false )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV44 @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(352,plain,
! [SV45: b,SV53: b] :
( ( ( sK5_SY110 @ SV53 )
= $false )
| ( ( sK5_SY110 @ SV45 )
= $false )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV45 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(353,plain,
! [SV46: b,SV54: b] :
( ( ( sK5_SY110 @ SV54 )
= $false )
| ( ( sK5_SY110 @ SV46 )
= $false )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV46 @ SV54 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV46 ) @ ( sK2_SY29 @ SV54 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(354,plain,
( ( ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK14_SX0 )
| ~ ( sK3_SY57 @ sK15_SY251 ) )
| ~ ( sK3_SY57 @ sK14_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(355,plain,
( ( sK3_SY57 @ sK15_SY251 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(356,plain,
! [SV47: a,SV55: a] :
( ( ( sK7_SY159 @ SV55 )
= $false )
| ( ( sK7_SY159 @ SV47 )
= $false )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV47 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(357,plain,
! [SV50: g,SV56: g] :
( ( ( sK3_SY57 @ SV56 )
= $false )
| ( ( sK3_SY57 @ SV50 )
= $false )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV50 @ SV56 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV50 ) @ ( sK1_Xh1 @ SV56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(358,plain,
( ( ~ ~ ( ~ ( sK3_SY57 @ sK14_SX0 )
| ~ ( sK3_SY57 @ sK15_SY251 ) )
| ~ ( sK3_SY57 @ sK14_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(359,plain,
( ( ~ ~ ( ~ ( sK3_SY57 @ sK14_SX0 )
| ~ ( sK3_SY57 @ sK15_SY251 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(360,plain,
( ( ~ ( sK3_SY57 @ sK14_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(361,plain,
( ( ~ ( ~ ( sK3_SY57 @ sK14_SX0 )
| ~ ( sK3_SY57 @ sK15_SY251 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(362,plain,
( ( sK3_SY57 @ sK14_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(363,plain,
( ( ~ ( sK3_SY57 @ sK14_SX0 )
| ~ ( sK3_SY57 @ sK15_SY251 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(364,plain,
( ( ~ ( sK3_SY57 @ sK14_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[363]) ).
thf(365,plain,
( ( ~ ( sK3_SY57 @ sK15_SY251 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[363]) ).
thf(366,plain,
( ( sK3_SY57 @ sK14_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(367,plain,
( ( sK3_SY57 @ sK15_SY251 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(368,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[317,367,366,362,357,356,355,353,352,351,350,325,318]) ).
thf(369,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[368,112,196,274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO228^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.19 % Computer : n020.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Oct 6 17:34:21 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.37
% 0.47/0.37 No.of.Axioms: 0
% 0.47/0.37
% 0.47/0.37 Length.of.Defs: 0
% 0.47/0.37
% 0.47/0.37 Contains.Choice.Funs: false
% 0.47/0.37 ...........
% 0.47/0.37
% 0.47/0.37 ********************************
% 0.47/0.37 * All subproblems solved! *
% 0.47/0.37 ********************************
% 0.47/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:8,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:368,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.47/0.37
% 0.47/0.37 %**** Beginning of derivation protocol ****
% 0.47/0.37 % SZS output start CNFRefutation
% See solution above
% 0.47/0.37
% 0.47/0.37 %**** End of derivation protocol ****
% 0.47/0.37 %**** no. of clauses in derivation: 369 ****
% 0.47/0.37 %**** clause counter: 368 ****
% 0.47/0.37
% 0.47/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:8,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:368,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------