TSTP Solution File: SEU903^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU903^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 12:15:41 EDT 2022
% Result : Theorem 0.38s 0.57s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 220 ( 140 unt; 15 typ; 0 def)
% Number of atoms : 1024 ( 346 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 1753 ( 160 ~; 144 |; 121 &;1165 @)
% ( 0 <=>; 163 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 60 ( 60 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 340 ( 0 ^ 340 !; 0 ?; 340 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_g,type,
g: $tType ).
thf(tp_sK10_SY141,type,
sK10_SY141: a ).
thf(tp_sK11_SY130,type,
sK11_SY130: g ).
thf(tp_sK12_SY143,type,
sK12_SY143: g ).
thf(tp_sK1_Xh1,type,
sK1_Xh1: g > b ).
thf(tp_sK2_SY20,type,
sK2_SY20: b > a ).
thf(tp_sK3_SY39,type,
sK3_SY39: g > $o ).
thf(tp_sK4_SY57,type,
sK4_SY57: g > g ).
thf(tp_sK5_SY74,type,
sK5_SY74: b > $o ).
thf(tp_sK6_SY90,type,
sK6_SY90: b > b ).
thf(tp_sK7_SY105,type,
sK7_SY105: a > $o ).
thf(tp_sK8_SY119,type,
sK8_SY119: a > a ).
thf(tp_sK9_SY86,type,
sK9_SY86: g ).
thf(1,conjecture,
! [Xh1: g > b,Xh2: b > a,Xs1: g > $o,Xf1: g > g,Xs2: b > $o,Xf2: b > b,Xs3: a > $o,Xf3: a > a] :
( ( ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs1 @ ( Xf1 @ Xx ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( Xs2 @ ( Xf2 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs2 @ ( Xh1 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( ( Xh1 @ ( Xf1 @ Xx ) )
= ( Xf2 @ ( Xh1 @ Xx ) ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( Xs2 @ ( Xf2 @ Xx ) ) )
& ! [Xx: a] :
( ( Xs3 @ Xx )
=> ( Xs3 @ ( Xf3 @ Xx ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( Xs3 @ ( Xh2 @ Xx ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( ( Xh2 @ ( Xf2 @ Xx ) )
= ( Xf3 @ ( Xh2 @ Xx ) ) ) ) )
=> ( ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs1 @ ( Xf1 @ Xx ) ) )
& ! [Xx: a] :
( ( Xs3 @ Xx )
=> ( Xs3 @ ( Xf3 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs3 @ ( Xh2 @ ( Xh1 @ Xx ) ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( ( Xh2 @ ( Xh1 @ ( Xf1 @ Xx ) ) )
= ( Xf3 @ ( Xh2 @ ( Xh1 @ Xx ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM131_pme) ).
thf(2,negated_conjecture,
( ( ! [Xh1: g > b,Xh2: b > a,Xs1: g > $o,Xf1: g > g,Xs2: b > $o,Xf2: b > b,Xs3: a > $o,Xf3: a > a] :
( ( ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs1 @ ( Xf1 @ Xx ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( Xs2 @ ( Xf2 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs2 @ ( Xh1 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( ( Xh1 @ ( Xf1 @ Xx ) )
= ( Xf2 @ ( Xh1 @ Xx ) ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( Xs2 @ ( Xf2 @ Xx ) ) )
& ! [Xx: a] :
( ( Xs3 @ Xx )
=> ( Xs3 @ ( Xf3 @ Xx ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( Xs3 @ ( Xh2 @ Xx ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( ( Xh2 @ ( Xf2 @ Xx ) )
= ( Xf3 @ ( Xh2 @ Xx ) ) ) ) )
=> ( ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs1 @ ( Xf1 @ Xx ) ) )
& ! [Xx: a] :
( ( Xs3 @ Xx )
=> ( Xs3 @ ( Xf3 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs3 @ ( Xh2 @ ( Xh1 @ Xx ) ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( ( Xh2 @ ( Xh1 @ ( Xf1 @ Xx ) ) )
= ( Xf3 @ ( Xh2 @ ( Xh1 @ Xx ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xh1: g > b,Xh2: b > a,Xs1: g > $o,Xf1: g > g,Xs2: b > $o,Xf2: b > b,Xs3: a > $o,Xf3: a > a] :
( ( ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs1 @ ( Xf1 @ Xx ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( Xs2 @ ( Xf2 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs2 @ ( Xh1 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( ( Xh1 @ ( Xf1 @ Xx ) )
= ( Xf2 @ ( Xh1 @ Xx ) ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( Xs2 @ ( Xf2 @ Xx ) ) )
& ! [Xx: a] :
( ( Xs3 @ Xx )
=> ( Xs3 @ ( Xf3 @ Xx ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( Xs3 @ ( Xh2 @ Xx ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( ( Xh2 @ ( Xf2 @ Xx ) )
= ( Xf3 @ ( Xh2 @ Xx ) ) ) ) )
=> ( ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs1 @ ( Xf1 @ Xx ) ) )
& ! [Xx: a] :
( ( Xs3 @ Xx )
=> ( Xs3 @ ( Xf3 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs3 @ ( Xh2 @ ( Xh1 @ Xx ) ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( ( Xh2 @ ( Xh1 @ ( Xf1 @ Xx ) ) )
= ( Xf3 @ ( Xh2 @ ( Xh1 @ Xx ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY20: b > a,SY21: g > $o,SY22: g > g,SY23: b > $o,SY24: b > b,SY25: a > $o,SY26: a > a] :
( ( ! [Xx: g] :
( ( SY21 @ Xx )
=> ( SY21 @ ( SY22 @ Xx ) ) )
& ! [Xx: b] :
( ( SY23 @ Xx )
=> ( SY23 @ ( SY24 @ Xx ) ) )
& ! [SY29: g] :
( ( SY21 @ SY29 )
=> ( SY23 @ ( sK1_Xh1 @ SY29 ) ) )
& ! [SY30: g] :
( ( SY21 @ SY30 )
=> ( ( sK1_Xh1 @ ( SY22 @ SY30 ) )
= ( SY24 @ ( sK1_Xh1 @ SY30 ) ) ) )
& ! [Xx: b] :
( ( SY23 @ Xx )
=> ( SY23 @ ( SY24 @ Xx ) ) )
& ! [Xx: a] :
( ( SY25 @ Xx )
=> ( SY25 @ ( SY26 @ Xx ) ) )
& ! [Xx: b] :
( ( SY23 @ Xx )
=> ( SY25 @ ( SY20 @ Xx ) ) )
& ! [Xx: b] :
( ( SY23 @ Xx )
=> ( ( SY20 @ ( SY24 @ Xx ) )
= ( SY26 @ ( SY20 @ Xx ) ) ) ) )
=> ( ! [Xx: g] :
( ( SY21 @ Xx )
=> ( SY21 @ ( SY22 @ Xx ) ) )
& ! [Xx: a] :
( ( SY25 @ Xx )
=> ( SY25 @ ( SY26 @ Xx ) ) )
& ! [SY37: g] :
( ( SY21 @ SY37 )
=> ( SY25 @ ( SY20 @ ( sK1_Xh1 @ SY37 ) ) ) )
& ! [SY38: g] :
( ( SY21 @ SY38 )
=> ( ( SY20 @ ( sK1_Xh1 @ ( SY22 @ SY38 ) ) )
= ( SY26 @ ( SY20 @ ( sK1_Xh1 @ SY38 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY39: g > $o,SY40: g > g,SY41: b > $o,SY42: b > b,SY43: a > $o,SY44: a > a] :
( ( ! [Xx: g] :
( ( SY39 @ Xx )
=> ( SY39 @ ( SY40 @ Xx ) ) )
& ! [Xx: b] :
( ( SY41 @ Xx )
=> ( SY41 @ ( SY42 @ Xx ) ) )
& ! [SY29: g] :
( ( SY39 @ SY29 )
=> ( SY41 @ ( sK1_Xh1 @ SY29 ) ) )
& ! [SY30: g] :
( ( SY39 @ SY30 )
=> ( ( sK1_Xh1 @ ( SY40 @ SY30 ) )
= ( SY42 @ ( sK1_Xh1 @ SY30 ) ) ) )
& ! [Xx: b] :
( ( SY41 @ Xx )
=> ( SY41 @ ( SY42 @ Xx ) ) )
& ! [Xx: a] :
( ( SY43 @ Xx )
=> ( SY43 @ ( SY44 @ Xx ) ) )
& ! [SY51: b] :
( ( SY41 @ SY51 )
=> ( SY43 @ ( sK2_SY20 @ SY51 ) ) )
& ! [SY52: b] :
( ( SY41 @ SY52 )
=> ( ( sK2_SY20 @ ( SY42 @ SY52 ) )
= ( SY44 @ ( sK2_SY20 @ SY52 ) ) ) ) )
=> ( ! [Xx: g] :
( ( SY39 @ Xx )
=> ( SY39 @ ( SY40 @ Xx ) ) )
& ! [Xx: a] :
( ( SY43 @ Xx )
=> ( SY43 @ ( SY44 @ Xx ) ) )
& ! [SY55: g] :
( ( SY39 @ SY55 )
=> ( SY43 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY55 ) ) ) )
& ! [SY56: g] :
( ( SY39 @ SY56 )
=> ( ( sK2_SY20 @ ( sK1_Xh1 @ ( SY40 @ SY56 ) ) )
= ( SY44 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY56 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY57: g > g,SY58: b > $o,SY59: b > b,SY60: a > $o,SY61: a > a] :
( ( ! [SY62: g] :
( ( sK3_SY39 @ SY62 )
=> ( sK3_SY39 @ ( SY57 @ SY62 ) ) )
& ! [Xx: b] :
( ( SY58 @ Xx )
=> ( SY58 @ ( SY59 @ Xx ) ) )
& ! [SY64: g] :
( ( sK3_SY39 @ SY64 )
=> ( SY58 @ ( sK1_Xh1 @ SY64 ) ) )
& ! [SY65: g] :
( ( sK3_SY39 @ SY65 )
=> ( ( sK1_Xh1 @ ( SY57 @ SY65 ) )
= ( SY59 @ ( sK1_Xh1 @ SY65 ) ) ) )
& ! [Xx: b] :
( ( SY58 @ Xx )
=> ( SY58 @ ( SY59 @ Xx ) ) )
& ! [Xx: a] :
( ( SY60 @ Xx )
=> ( SY60 @ ( SY61 @ Xx ) ) )
& ! [SY51: b] :
( ( SY58 @ SY51 )
=> ( SY60 @ ( sK2_SY20 @ SY51 ) ) )
& ! [SY52: b] :
( ( SY58 @ SY52 )
=> ( ( sK2_SY20 @ ( SY59 @ SY52 ) )
= ( SY61 @ ( sK2_SY20 @ SY52 ) ) ) ) )
=> ( ! [SY70: g] :
( ( sK3_SY39 @ SY70 )
=> ( sK3_SY39 @ ( SY57 @ SY70 ) ) )
& ! [Xx: a] :
( ( SY60 @ Xx )
=> ( SY60 @ ( SY61 @ Xx ) ) )
& ! [SY72: g] :
( ( sK3_SY39 @ SY72 )
=> ( SY60 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY72 ) ) ) )
& ! [SY73: g] :
( ( sK3_SY39 @ SY73 )
=> ( ( sK2_SY20 @ ( sK1_Xh1 @ ( SY57 @ SY73 ) ) )
= ( SY61 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY73 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY74: b > $o,SY75: b > b,SY76: a > $o,SY77: a > a] :
( ( ! [SY78: g] :
( ( sK3_SY39 @ SY78 )
=> ( sK3_SY39 @ ( sK4_SY57 @ SY78 ) ) )
& ! [Xx: b] :
( ( SY74 @ Xx )
=> ( SY74 @ ( SY75 @ Xx ) ) )
& ! [SY64: g] :
( ( sK3_SY39 @ SY64 )
=> ( SY74 @ ( sK1_Xh1 @ SY64 ) ) )
& ! [SY81: g] :
( ( sK3_SY39 @ SY81 )
=> ( ( sK1_Xh1 @ ( sK4_SY57 @ SY81 ) )
= ( SY75 @ ( sK1_Xh1 @ SY81 ) ) ) )
& ! [Xx: b] :
( ( SY74 @ Xx )
=> ( SY74 @ ( SY75 @ Xx ) ) )
& ! [Xx: a] :
( ( SY76 @ Xx )
=> ( SY76 @ ( SY77 @ Xx ) ) )
& ! [SY51: b] :
( ( SY74 @ SY51 )
=> ( SY76 @ ( sK2_SY20 @ SY51 ) ) )
& ! [SY52: b] :
( ( SY74 @ SY52 )
=> ( ( sK2_SY20 @ ( SY75 @ SY52 ) )
= ( SY77 @ ( sK2_SY20 @ SY52 ) ) ) ) )
=> ( ! [SY86: g] :
( ( sK3_SY39 @ SY86 )
=> ( sK3_SY39 @ ( sK4_SY57 @ SY86 ) ) )
& ! [Xx: a] :
( ( SY76 @ Xx )
=> ( SY76 @ ( SY77 @ Xx ) ) )
& ! [SY72: g] :
( ( sK3_SY39 @ SY72 )
=> ( SY76 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY72 ) ) ) )
& ! [SY89: g] :
( ( sK3_SY39 @ SY89 )
=> ( ( sK2_SY20 @ ( sK1_Xh1 @ ( sK4_SY57 @ SY89 ) ) )
= ( SY77 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY89 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY90: b > b,SY91: a > $o,SY92: a > a] :
( ( ! [SY78: g] :
( ( sK3_SY39 @ SY78 )
=> ( sK3_SY39 @ ( sK4_SY57 @ SY78 ) ) )
& ! [SY94: b] :
( ( sK5_SY74 @ SY94 )
=> ( sK5_SY74 @ ( SY90 @ SY94 ) ) )
& ! [SY95: g] :
( ( sK3_SY39 @ SY95 )
=> ( sK5_SY74 @ ( sK1_Xh1 @ SY95 ) ) )
& ! [SY81: g] :
( ( sK3_SY39 @ SY81 )
=> ( ( sK1_Xh1 @ ( sK4_SY57 @ SY81 ) )
= ( SY90 @ ( sK1_Xh1 @ SY81 ) ) ) )
& ! [SY97: b] :
( ( sK5_SY74 @ SY97 )
=> ( sK5_SY74 @ ( SY90 @ SY97 ) ) )
& ! [Xx: a] :
( ( SY91 @ Xx )
=> ( SY91 @ ( SY92 @ Xx ) ) )
& ! [SY99: b] :
( ( sK5_SY74 @ SY99 )
=> ( SY91 @ ( sK2_SY20 @ SY99 ) ) )
& ! [SY100: b] :
( ( sK5_SY74 @ SY100 )
=> ( ( sK2_SY20 @ ( SY90 @ SY100 ) )
= ( SY92 @ ( sK2_SY20 @ SY100 ) ) ) ) )
=> ( ! [SY86: g] :
( ( sK3_SY39 @ SY86 )
=> ( sK3_SY39 @ ( sK4_SY57 @ SY86 ) ) )
& ! [Xx: a] :
( ( SY91 @ Xx )
=> ( SY91 @ ( SY92 @ Xx ) ) )
& ! [SY72: g] :
( ( sK3_SY39 @ SY72 )
=> ( SY91 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY72 ) ) ) )
& ! [SY89: g] :
( ( sK3_SY39 @ SY89 )
=> ( ( sK2_SY20 @ ( sK1_Xh1 @ ( sK4_SY57 @ SY89 ) ) )
= ( SY92 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY89 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[7]) ).
thf(9,plain,
( ( ! [SY105: a > $o,SY106: a > a] :
( ( ! [SY78: g] :
( ( sK3_SY39 @ SY78 )
=> ( sK3_SY39 @ ( sK4_SY57 @ SY78 ) ) )
& ! [SY108: b] :
( ( sK5_SY74 @ SY108 )
=> ( sK5_SY74 @ ( sK6_SY90 @ SY108 ) ) )
& ! [SY95: g] :
( ( sK3_SY39 @ SY95 )
=> ( sK5_SY74 @ ( sK1_Xh1 @ SY95 ) ) )
& ! [SY110: g] :
( ( sK3_SY39 @ SY110 )
=> ( ( sK1_Xh1 @ ( sK4_SY57 @ SY110 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SY110 ) ) ) )
& ! [SY111: b] :
( ( sK5_SY74 @ SY111 )
=> ( sK5_SY74 @ ( sK6_SY90 @ SY111 ) ) )
& ! [Xx: a] :
( ( SY105 @ Xx )
=> ( SY105 @ ( SY106 @ Xx ) ) )
& ! [SY99: b] :
( ( sK5_SY74 @ SY99 )
=> ( SY105 @ ( sK2_SY20 @ SY99 ) ) )
& ! [SY114: b] :
( ( sK5_SY74 @ SY114 )
=> ( ( sK2_SY20 @ ( sK6_SY90 @ SY114 ) )
= ( SY106 @ ( sK2_SY20 @ SY114 ) ) ) ) )
=> ( ! [SY86: g] :
( ( sK3_SY39 @ SY86 )
=> ( sK3_SY39 @ ( sK4_SY57 @ SY86 ) ) )
& ! [Xx: a] :
( ( SY105 @ Xx )
=> ( SY105 @ ( SY106 @ Xx ) ) )
& ! [SY72: g] :
( ( sK3_SY39 @ SY72 )
=> ( SY105 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY72 ) ) ) )
& ! [SY89: g] :
( ( sK3_SY39 @ SY89 )
=> ( ( sK2_SY20 @ ( sK1_Xh1 @ ( sK4_SY57 @ SY89 ) ) )
= ( SY106 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY89 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [SY119: a > a] :
( ( ! [SY78: g] :
( ( sK3_SY39 @ SY78 )
=> ( sK3_SY39 @ ( sK4_SY57 @ SY78 ) ) )
& ! [SY108: b] :
( ( sK5_SY74 @ SY108 )
=> ( sK5_SY74 @ ( sK6_SY90 @ SY108 ) ) )
& ! [SY95: g] :
( ( sK3_SY39 @ SY95 )
=> ( sK5_SY74 @ ( sK1_Xh1 @ SY95 ) ) )
& ! [SY110: g] :
( ( sK3_SY39 @ SY110 )
=> ( ( sK1_Xh1 @ ( sK4_SY57 @ SY110 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SY110 ) ) ) )
& ! [SY111: b] :
( ( sK5_SY74 @ SY111 )
=> ( sK5_SY74 @ ( sK6_SY90 @ SY111 ) ) )
& ! [SY125: a] :
( ( sK7_SY105 @ SY125 )
=> ( sK7_SY105 @ ( SY119 @ SY125 ) ) )
& ! [SY126: b] :
( ( sK5_SY74 @ SY126 )
=> ( sK7_SY105 @ ( sK2_SY20 @ SY126 ) ) )
& ! [SY114: b] :
( ( sK5_SY74 @ SY114 )
=> ( ( sK2_SY20 @ ( sK6_SY90 @ SY114 ) )
= ( SY119 @ ( sK2_SY20 @ SY114 ) ) ) ) )
=> ( ! [SY86: g] :
( ( sK3_SY39 @ SY86 )
=> ( sK3_SY39 @ ( sK4_SY57 @ SY86 ) ) )
& ! [SY129: a] :
( ( sK7_SY105 @ SY129 )
=> ( sK7_SY105 @ ( SY119 @ SY129 ) ) )
& ! [SY130: g] :
( ( sK3_SY39 @ SY130 )
=> ( sK7_SY105 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY130 ) ) ) )
& ! [SY89: g] :
( ( sK3_SY39 @ SY89 )
=> ( ( sK2_SY20 @ ( sK1_Xh1 @ ( sK4_SY57 @ SY89 ) ) )
= ( SY119 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY89 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[9]) ).
thf(11,plain,
( ( ( ! [SY78: g] :
( ( sK3_SY39 @ SY78 )
=> ( sK3_SY39 @ ( sK4_SY57 @ SY78 ) ) )
& ! [SY108: b] :
( ( sK5_SY74 @ SY108 )
=> ( sK5_SY74 @ ( sK6_SY90 @ SY108 ) ) )
& ! [SY95: g] :
( ( sK3_SY39 @ SY95 )
=> ( sK5_SY74 @ ( sK1_Xh1 @ SY95 ) ) )
& ! [SY110: g] :
( ( sK3_SY39 @ SY110 )
=> ( ( sK1_Xh1 @ ( sK4_SY57 @ SY110 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SY110 ) ) ) )
& ! [SY111: b] :
( ( sK5_SY74 @ SY111 )
=> ( sK5_SY74 @ ( sK6_SY90 @ SY111 ) ) )
& ! [SY137: a] :
( ( sK7_SY105 @ SY137 )
=> ( sK7_SY105 @ ( sK8_SY119 @ SY137 ) ) )
& ! [SY126: b] :
( ( sK5_SY74 @ SY126 )
=> ( sK7_SY105 @ ( sK2_SY20 @ SY126 ) ) )
& ! [SY139: b] :
( ( sK5_SY74 @ SY139 )
=> ( ( sK2_SY20 @ ( sK6_SY90 @ SY139 ) )
= ( sK8_SY119 @ ( sK2_SY20 @ SY139 ) ) ) ) )
=> ( ! [SY86: g] :
( ( sK3_SY39 @ SY86 )
=> ( sK3_SY39 @ ( sK4_SY57 @ SY86 ) ) )
& ! [SY141: a] :
( ( sK7_SY105 @ SY141 )
=> ( sK7_SY105 @ ( sK8_SY119 @ SY141 ) ) )
& ! [SY130: g] :
( ( sK3_SY39 @ SY130 )
=> ( sK7_SY105 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY130 ) ) ) )
& ! [SY143: g] :
( ( sK3_SY39 @ SY143 )
=> ( ( sK2_SY20 @ ( sK1_Xh1 @ ( sK4_SY57 @ SY143 ) ) )
= ( sK8_SY119 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY143 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[10]) ).
thf(12,plain,
( ( ! [SY78: g] :
( ( sK3_SY39 @ SY78 )
=> ( sK3_SY39 @ ( sK4_SY57 @ SY78 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(13,plain,
( ( ! [SY108: b] :
( ( sK5_SY74 @ SY108 )
=> ( sK5_SY74 @ ( sK6_SY90 @ SY108 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(14,plain,
( ( ! [SY95: g] :
( ( sK3_SY39 @ SY95 )
=> ( sK5_SY74 @ ( sK1_Xh1 @ SY95 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(15,plain,
( ( ! [SY110: g] :
( ( sK3_SY39 @ SY110 )
=> ( ( sK1_Xh1 @ ( sK4_SY57 @ SY110 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SY110 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(16,plain,
( ( ! [SY111: b] :
( ( sK5_SY74 @ SY111 )
=> ( sK5_SY74 @ ( sK6_SY90 @ SY111 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(17,plain,
( ( ! [SY137: a] :
( ( sK7_SY105 @ SY137 )
=> ( sK7_SY105 @ ( sK8_SY119 @ SY137 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(18,plain,
( ( ! [SY126: b] :
( ( sK5_SY74 @ SY126 )
=> ( sK7_SY105 @ ( sK2_SY20 @ SY126 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(19,plain,
( ( ! [SY139: b] :
( ( sK5_SY74 @ SY139 )
=> ( ( sK2_SY20 @ ( sK6_SY90 @ SY139 ) )
= ( sK8_SY119 @ ( sK2_SY20 @ SY139 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(20,plain,
( ( ! [SY86: g] :
( ( sK3_SY39 @ SY86 )
=> ( sK3_SY39 @ ( sK4_SY57 @ SY86 ) ) )
& ! [SY141: a] :
( ( sK7_SY105 @ SY141 )
=> ( sK7_SY105 @ ( sK8_SY119 @ SY141 ) ) )
& ! [SY130: g] :
( ( sK3_SY39 @ SY130 )
=> ( sK7_SY105 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY130 ) ) ) )
& ! [SY143: g] :
( ( sK3_SY39 @ SY143 )
=> ( ( sK2_SY20 @ ( sK1_Xh1 @ ( sK4_SY57 @ SY143 ) ) )
= ( sK8_SY119 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY143 ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(21,plain,
( ( ! [SY86: g] :
( ( sK3_SY39 @ SY86 )
=> ( sK3_SY39 @ ( sK4_SY57 @ SY86 ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(22,plain,
( ( ! [SY141: a] :
( ( sK7_SY105 @ SY141 )
=> ( sK7_SY105 @ ( sK8_SY119 @ SY141 ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(23,plain,
( ( ! [SY130: g] :
( ( sK3_SY39 @ SY130 )
=> ( sK7_SY105 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY130 ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(24,plain,
( ( ! [SY143: g] :
( ( sK3_SY39 @ SY143 )
=> ( ( sK2_SY20 @ ( sK1_Xh1 @ ( sK4_SY57 @ SY143 ) ) )
= ( sK8_SY119 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY143 ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(25,plain,
( ( ~ ! [SY86: g] :
( ( sK3_SY39 @ SY86 )
=> ( sK3_SY39 @ ( sK4_SY57 @ SY86 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[21]) ).
thf(26,plain,
( ( ~ ! [SY141: a] :
( ( sK7_SY105 @ SY141 )
=> ( sK7_SY105 @ ( sK8_SY119 @ SY141 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[22]) ).
thf(27,plain,
( ( ~ ! [SY130: g] :
( ( sK3_SY39 @ SY130 )
=> ( sK7_SY105 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY130 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ! [SY143: g] :
( ( sK3_SY39 @ SY143 )
=> ( ( sK2_SY20 @ ( sK1_Xh1 @ ( sK4_SY57 @ SY143 ) ) )
= ( sK8_SY119 @ ( sK2_SY20 @ ( sK1_Xh1 @ SY143 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[24]) ).
thf(29,plain,
( ( ( sK3_SY39 @ sK9_SY86 )
& ~ ( sK3_SY39 @ ( sK4_SY57 @ sK9_SY86 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(30,plain,
( ( ( sK7_SY105 @ sK10_SY141 )
& ~ ( sK7_SY105 @ ( sK8_SY119 @ sK10_SY141 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(31,plain,
( ( ( sK3_SY39 @ sK11_SY130 )
& ~ ( sK7_SY105 @ ( sK2_SY20 @ ( sK1_Xh1 @ sK11_SY130 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(32,plain,
( ( ( sK3_SY39 @ sK12_SY143 )
& ( ( sK2_SY20 @ ( sK1_Xh1 @ ( sK4_SY57 @ sK12_SY143 ) ) )
!= ( sK8_SY119 @ ( sK2_SY20 @ ( sK1_Xh1 @ sK12_SY143 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(33,plain,
( ( ! [SY78: g] :
( ~ ( sK3_SY39 @ SY78 )
| ( sK3_SY39 @ ( sK4_SY57 @ SY78 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(34,plain,
( ( ! [SY108: b] :
( ~ ( sK5_SY74 @ SY108 )
| ( sK5_SY74 @ ( sK6_SY90 @ SY108 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(35,plain,
( ( ! [SY95: g] :
( ~ ( sK3_SY39 @ SY95 )
| ( sK5_SY74 @ ( sK1_Xh1 @ SY95 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(36,plain,
( ( ! [SY110: g] :
( ~ ( sK3_SY39 @ SY110 )
| ( ( sK1_Xh1 @ ( sK4_SY57 @ SY110 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SY110 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(37,plain,
( ( ! [SY111: b] :
( ~ ( sK5_SY74 @ SY111 )
| ( sK5_SY74 @ ( sK6_SY90 @ SY111 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(38,plain,
( ( ! [SY137: a] :
( ~ ( sK7_SY105 @ SY137 )
| ( sK7_SY105 @ ( sK8_SY119 @ SY137 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(39,plain,
( ( ! [SY126: b] :
( ~ ( sK5_SY74 @ SY126 )
| ( sK7_SY105 @ ( sK2_SY20 @ SY126 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(40,plain,
( ( ! [SY139: b] :
( ~ ( sK5_SY74 @ SY139 )
| ( ( sK2_SY20 @ ( sK6_SY90 @ SY139 ) )
= ( sK8_SY119 @ ( sK2_SY20 @ SY139 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(41,plain,
( ( ! [SY139: b] :
( ~ ( sK5_SY74 @ SY139 )
| ( ( sK2_SY20 @ ( sK6_SY90 @ SY139 ) )
= ( sK8_SY119 @ ( sK2_SY20 @ SY139 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(42,plain,
( ( ! [SY126: b] :
( ~ ( sK5_SY74 @ SY126 )
| ( sK7_SY105 @ ( sK2_SY20 @ SY126 ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(43,plain,
( ( ! [SY137: a] :
( ~ ( sK7_SY105 @ SY137 )
| ( sK7_SY105 @ ( sK8_SY119 @ SY137 ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(44,plain,
( ( ! [SY111: b] :
( ~ ( sK5_SY74 @ SY111 )
| ( sK5_SY74 @ ( sK6_SY90 @ SY111 ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(45,plain,
( ( ! [SY110: g] :
( ~ ( sK3_SY39 @ SY110 )
| ( ( sK1_Xh1 @ ( sK4_SY57 @ SY110 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SY110 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(46,plain,
( ( ! [SY95: g] :
( ~ ( sK3_SY39 @ SY95 )
| ( sK5_SY74 @ ( sK1_Xh1 @ SY95 ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(47,plain,
( ( ! [SY108: b] :
( ~ ( sK5_SY74 @ SY108 )
| ( sK5_SY74 @ ( sK6_SY90 @ SY108 ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(48,plain,
( ( ! [SY78: g] :
( ~ ( sK3_SY39 @ SY78 )
| ( sK3_SY39 @ ( sK4_SY57 @ SY78 ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(49,plain,
( ( ( sK3_SY39 @ sK9_SY86 )
& ~ ( sK3_SY39 @ ( sK4_SY57 @ sK9_SY86 ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(50,plain,
( ( ~ ( ~ ( sK3_SY39 @ sK9_SY86 )
| ~ ~ ( sK3_SY39 @ ( sK4_SY57 @ sK9_SY86 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(51,plain,
! [SV1: b] :
( ( ~ ( sK5_SY74 @ SV1 )
| ( ( sK2_SY20 @ ( sK6_SY90 @ SV1 ) )
= ( sK8_SY119 @ ( sK2_SY20 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(52,plain,
! [SV2: b] :
( ( ~ ( sK5_SY74 @ SV2 )
| ( sK7_SY105 @ ( sK2_SY20 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(53,plain,
! [SV3: a] :
( ( ~ ( sK7_SY105 @ SV3 )
| ( sK7_SY105 @ ( sK8_SY119 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(54,plain,
! [SV4: b] :
( ( ~ ( sK5_SY74 @ SV4 )
| ( sK5_SY74 @ ( sK6_SY90 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(55,plain,
! [SV5: g] :
( ( ~ ( sK3_SY39 @ SV5 )
| ( ( sK1_Xh1 @ ( sK4_SY57 @ SV5 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(56,plain,
! [SV6: g] :
( ( ~ ( sK3_SY39 @ SV6 )
| ( sK5_SY74 @ ( sK1_Xh1 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(57,plain,
! [SV7: b] :
( ( ~ ( sK5_SY74 @ SV7 )
| ( sK5_SY74 @ ( sK6_SY90 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(58,plain,
! [SV8: g] :
( ( ~ ( sK3_SY39 @ SV8 )
| ( sK3_SY39 @ ( sK4_SY57 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(59,plain,
( ( ~ ( sK3_SY39 @ sK9_SY86 )
| ~ ~ ( sK3_SY39 @ ( sK4_SY57 @ sK9_SY86 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(60,plain,
! [SV1: b] :
( ( ( ~ ( sK5_SY74 @ SV1 ) )
= $true )
| ( ( ( sK2_SY20 @ ( sK6_SY90 @ SV1 ) )
= ( sK8_SY119 @ ( sK2_SY20 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(61,plain,
! [SV2: b] :
( ( ( ~ ( sK5_SY74 @ SV2 ) )
= $true )
| ( ( sK7_SY105 @ ( sK2_SY20 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(62,plain,
! [SV3: a] :
( ( ( ~ ( sK7_SY105 @ SV3 ) )
= $true )
| ( ( sK7_SY105 @ ( sK8_SY119 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(63,plain,
! [SV4: b] :
( ( ( ~ ( sK5_SY74 @ SV4 ) )
= $true )
| ( ( sK5_SY74 @ ( sK6_SY90 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(64,plain,
! [SV5: g] :
( ( ( ~ ( sK3_SY39 @ SV5 ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY57 @ SV5 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(65,plain,
! [SV6: g] :
( ( ( ~ ( sK3_SY39 @ SV6 ) )
= $true )
| ( ( sK5_SY74 @ ( sK1_Xh1 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(66,plain,
! [SV7: b] :
( ( ( ~ ( sK5_SY74 @ SV7 ) )
= $true )
| ( ( sK5_SY74 @ ( sK6_SY90 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(67,plain,
! [SV8: g] :
( ( ( ~ ( sK3_SY39 @ SV8 ) )
= $true )
| ( ( sK3_SY39 @ ( sK4_SY57 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(68,plain,
( ( ~ ( sK3_SY39 @ sK9_SY86 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(69,plain,
( ( ~ ~ ( sK3_SY39 @ ( sK4_SY57 @ sK9_SY86 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(70,plain,
! [SV1: b] :
( ( ( sK5_SY74 @ SV1 )
= $false )
| ( ( ( sK2_SY20 @ ( sK6_SY90 @ SV1 ) )
= ( sK8_SY119 @ ( sK2_SY20 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(71,plain,
! [SV2: b] :
( ( ( sK5_SY74 @ SV2 )
= $false )
| ( ( sK7_SY105 @ ( sK2_SY20 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(72,plain,
! [SV3: a] :
( ( ( sK7_SY105 @ SV3 )
= $false )
| ( ( sK7_SY105 @ ( sK8_SY119 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(73,plain,
! [SV4: b] :
( ( ( sK5_SY74 @ SV4 )
= $false )
| ( ( sK5_SY74 @ ( sK6_SY90 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(74,plain,
! [SV5: g] :
( ( ( sK3_SY39 @ SV5 )
= $false )
| ( ( ( sK1_Xh1 @ ( sK4_SY57 @ SV5 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(75,plain,
! [SV6: g] :
( ( ( sK3_SY39 @ SV6 )
= $false )
| ( ( sK5_SY74 @ ( sK1_Xh1 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(76,plain,
! [SV7: b] :
( ( ( sK5_SY74 @ SV7 )
= $false )
| ( ( sK5_SY74 @ ( sK6_SY90 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(77,plain,
! [SV8: g] :
( ( ( sK3_SY39 @ SV8 )
= $false )
| ( ( sK3_SY39 @ ( sK4_SY57 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(78,plain,
( ( sK3_SY39 @ sK9_SY86 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(79,plain,
( ( ~ ( sK3_SY39 @ ( sK4_SY57 @ sK9_SY86 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(80,plain,
( ( sK3_SY39 @ ( sK4_SY57 @ sK9_SY86 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(81,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[70,80,78,77,76,75,74,73,72,71]) ).
thf(82,plain,
( ( ! [SY139: b] :
( ~ ( sK5_SY74 @ SY139 )
| ( ( sK2_SY20 @ ( sK6_SY90 @ SY139 ) )
= ( sK8_SY119 @ ( sK2_SY20 @ SY139 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(83,plain,
( ( ! [SY126: b] :
( ~ ( sK5_SY74 @ SY126 )
| ( sK7_SY105 @ ( sK2_SY20 @ SY126 ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(84,plain,
( ( ! [SY137: a] :
( ~ ( sK7_SY105 @ SY137 )
| ( sK7_SY105 @ ( sK8_SY119 @ SY137 ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(85,plain,
( ( ! [SY111: b] :
( ~ ( sK5_SY74 @ SY111 )
| ( sK5_SY74 @ ( sK6_SY90 @ SY111 ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(86,plain,
( ( ! [SY110: g] :
( ~ ( sK3_SY39 @ SY110 )
| ( ( sK1_Xh1 @ ( sK4_SY57 @ SY110 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SY110 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(87,plain,
( ( ! [SY95: g] :
( ~ ( sK3_SY39 @ SY95 )
| ( sK5_SY74 @ ( sK1_Xh1 @ SY95 ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(88,plain,
( ( ! [SY108: b] :
( ~ ( sK5_SY74 @ SY108 )
| ( sK5_SY74 @ ( sK6_SY90 @ SY108 ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(89,plain,
( ( ! [SY78: g] :
( ~ ( sK3_SY39 @ SY78 )
| ( sK3_SY39 @ ( sK4_SY57 @ SY78 ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(90,plain,
( ( ( sK7_SY105 @ sK10_SY141 )
& ~ ( sK7_SY105 @ ( sK8_SY119 @ sK10_SY141 ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(91,plain,
( ( ~ ( ~ ( sK7_SY105 @ sK10_SY141 )
| ~ ~ ( sK7_SY105 @ ( sK8_SY119 @ sK10_SY141 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(92,plain,
! [SV9: b] :
( ( ~ ( sK5_SY74 @ SV9 )
| ( ( sK2_SY20 @ ( sK6_SY90 @ SV9 ) )
= ( sK8_SY119 @ ( sK2_SY20 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(93,plain,
! [SV10: b] :
( ( ~ ( sK5_SY74 @ SV10 )
| ( sK7_SY105 @ ( sK2_SY20 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(94,plain,
! [SV11: a] :
( ( ~ ( sK7_SY105 @ SV11 )
| ( sK7_SY105 @ ( sK8_SY119 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(95,plain,
! [SV12: b] :
( ( ~ ( sK5_SY74 @ SV12 )
| ( sK5_SY74 @ ( sK6_SY90 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(96,plain,
! [SV13: g] :
( ( ~ ( sK3_SY39 @ SV13 )
| ( ( sK1_Xh1 @ ( sK4_SY57 @ SV13 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(97,plain,
! [SV14: g] :
( ( ~ ( sK3_SY39 @ SV14 )
| ( sK5_SY74 @ ( sK1_Xh1 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(98,plain,
! [SV15: b] :
( ( ~ ( sK5_SY74 @ SV15 )
| ( sK5_SY74 @ ( sK6_SY90 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(99,plain,
! [SV16: g] :
( ( ~ ( sK3_SY39 @ SV16 )
| ( sK3_SY39 @ ( sK4_SY57 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(100,plain,
( ( ~ ( sK7_SY105 @ sK10_SY141 )
| ~ ~ ( sK7_SY105 @ ( sK8_SY119 @ sK10_SY141 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(101,plain,
! [SV9: b] :
( ( ( ~ ( sK5_SY74 @ SV9 ) )
= $true )
| ( ( ( sK2_SY20 @ ( sK6_SY90 @ SV9 ) )
= ( sK8_SY119 @ ( sK2_SY20 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(102,plain,
! [SV10: b] :
( ( ( ~ ( sK5_SY74 @ SV10 ) )
= $true )
| ( ( sK7_SY105 @ ( sK2_SY20 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(103,plain,
! [SV11: a] :
( ( ( ~ ( sK7_SY105 @ SV11 ) )
= $true )
| ( ( sK7_SY105 @ ( sK8_SY119 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(104,plain,
! [SV12: b] :
( ( ( ~ ( sK5_SY74 @ SV12 ) )
= $true )
| ( ( sK5_SY74 @ ( sK6_SY90 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(105,plain,
! [SV13: g] :
( ( ( ~ ( sK3_SY39 @ SV13 ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY57 @ SV13 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SV13 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(106,plain,
! [SV14: g] :
( ( ( ~ ( sK3_SY39 @ SV14 ) )
= $true )
| ( ( sK5_SY74 @ ( sK1_Xh1 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(107,plain,
! [SV15: b] :
( ( ( ~ ( sK5_SY74 @ SV15 ) )
= $true )
| ( ( sK5_SY74 @ ( sK6_SY90 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(108,plain,
! [SV16: g] :
( ( ( ~ ( sK3_SY39 @ SV16 ) )
= $true )
| ( ( sK3_SY39 @ ( sK4_SY57 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(109,plain,
( ( ~ ( sK7_SY105 @ sK10_SY141 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(110,plain,
( ( ~ ~ ( sK7_SY105 @ ( sK8_SY119 @ sK10_SY141 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(111,plain,
! [SV9: b] :
( ( ( sK5_SY74 @ SV9 )
= $false )
| ( ( ( sK2_SY20 @ ( sK6_SY90 @ SV9 ) )
= ( sK8_SY119 @ ( sK2_SY20 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(112,plain,
! [SV10: b] :
( ( ( sK5_SY74 @ SV10 )
= $false )
| ( ( sK7_SY105 @ ( sK2_SY20 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(113,plain,
! [SV11: a] :
( ( ( sK7_SY105 @ SV11 )
= $false )
| ( ( sK7_SY105 @ ( sK8_SY119 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(114,plain,
! [SV12: b] :
( ( ( sK5_SY74 @ SV12 )
= $false )
| ( ( sK5_SY74 @ ( sK6_SY90 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(115,plain,
! [SV13: g] :
( ( ( sK3_SY39 @ SV13 )
= $false )
| ( ( ( sK1_Xh1 @ ( sK4_SY57 @ SV13 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SV13 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(116,plain,
! [SV14: g] :
( ( ( sK3_SY39 @ SV14 )
= $false )
| ( ( sK5_SY74 @ ( sK1_Xh1 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(117,plain,
! [SV15: b] :
( ( ( sK5_SY74 @ SV15 )
= $false )
| ( ( sK5_SY74 @ ( sK6_SY90 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(118,plain,
! [SV16: g] :
( ( ( sK3_SY39 @ SV16 )
= $false )
| ( ( sK3_SY39 @ ( sK4_SY57 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(119,plain,
( ( sK7_SY105 @ sK10_SY141 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(120,plain,
( ( ~ ( sK7_SY105 @ ( sK8_SY119 @ sK10_SY141 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(121,plain,
( ( sK7_SY105 @ ( sK8_SY119 @ sK10_SY141 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(122,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[111,121,119,118,117,116,115,114,113,112]) ).
thf(123,plain,
( ( ! [SY139: b] :
( ~ ( sK5_SY74 @ SY139 )
| ( ( sK2_SY20 @ ( sK6_SY90 @ SY139 ) )
= ( sK8_SY119 @ ( sK2_SY20 @ SY139 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(124,plain,
( ( ! [SY126: b] :
( ~ ( sK5_SY74 @ SY126 )
| ( sK7_SY105 @ ( sK2_SY20 @ SY126 ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(125,plain,
( ( ! [SY137: a] :
( ~ ( sK7_SY105 @ SY137 )
| ( sK7_SY105 @ ( sK8_SY119 @ SY137 ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(126,plain,
( ( ! [SY111: b] :
( ~ ( sK5_SY74 @ SY111 )
| ( sK5_SY74 @ ( sK6_SY90 @ SY111 ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(127,plain,
( ( ! [SY110: g] :
( ~ ( sK3_SY39 @ SY110 )
| ( ( sK1_Xh1 @ ( sK4_SY57 @ SY110 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SY110 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(128,plain,
( ( ! [SY95: g] :
( ~ ( sK3_SY39 @ SY95 )
| ( sK5_SY74 @ ( sK1_Xh1 @ SY95 ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(129,plain,
( ( ! [SY108: b] :
( ~ ( sK5_SY74 @ SY108 )
| ( sK5_SY74 @ ( sK6_SY90 @ SY108 ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(130,plain,
( ( ! [SY78: g] :
( ~ ( sK3_SY39 @ SY78 )
| ( sK3_SY39 @ ( sK4_SY57 @ SY78 ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(131,plain,
( ( ( sK3_SY39 @ sK11_SY130 )
& ~ ( sK7_SY105 @ ( sK2_SY20 @ ( sK1_Xh1 @ sK11_SY130 ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(132,plain,
( ( ~ ( ~ ( sK3_SY39 @ sK11_SY130 )
| ~ ~ ( sK7_SY105 @ ( sK2_SY20 @ ( sK1_Xh1 @ sK11_SY130 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(133,plain,
! [SV17: b] :
( ( ~ ( sK5_SY74 @ SV17 )
| ( ( sK2_SY20 @ ( sK6_SY90 @ SV17 ) )
= ( sK8_SY119 @ ( sK2_SY20 @ SV17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(134,plain,
! [SV18: b] :
( ( ~ ( sK5_SY74 @ SV18 )
| ( sK7_SY105 @ ( sK2_SY20 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(135,plain,
! [SV19: a] :
( ( ~ ( sK7_SY105 @ SV19 )
| ( sK7_SY105 @ ( sK8_SY119 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(136,plain,
! [SV20: b] :
( ( ~ ( sK5_SY74 @ SV20 )
| ( sK5_SY74 @ ( sK6_SY90 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(137,plain,
! [SV21: g] :
( ( ~ ( sK3_SY39 @ SV21 )
| ( ( sK1_Xh1 @ ( sK4_SY57 @ SV21 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(138,plain,
! [SV22: g] :
( ( ~ ( sK3_SY39 @ SV22 )
| ( sK5_SY74 @ ( sK1_Xh1 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(139,plain,
! [SV23: b] :
( ( ~ ( sK5_SY74 @ SV23 )
| ( sK5_SY74 @ ( sK6_SY90 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(140,plain,
! [SV24: g] :
( ( ~ ( sK3_SY39 @ SV24 )
| ( sK3_SY39 @ ( sK4_SY57 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(141,plain,
( ( ~ ( sK3_SY39 @ sK11_SY130 )
| ~ ~ ( sK7_SY105 @ ( sK2_SY20 @ ( sK1_Xh1 @ sK11_SY130 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(142,plain,
! [SV17: b] :
( ( ( ~ ( sK5_SY74 @ SV17 ) )
= $true )
| ( ( ( sK2_SY20 @ ( sK6_SY90 @ SV17 ) )
= ( sK8_SY119 @ ( sK2_SY20 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(143,plain,
! [SV18: b] :
( ( ( ~ ( sK5_SY74 @ SV18 ) )
= $true )
| ( ( sK7_SY105 @ ( sK2_SY20 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(144,plain,
! [SV19: a] :
( ( ( ~ ( sK7_SY105 @ SV19 ) )
= $true )
| ( ( sK7_SY105 @ ( sK8_SY119 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(145,plain,
! [SV20: b] :
( ( ( ~ ( sK5_SY74 @ SV20 ) )
= $true )
| ( ( sK5_SY74 @ ( sK6_SY90 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(146,plain,
! [SV21: g] :
( ( ( ~ ( sK3_SY39 @ SV21 ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY57 @ SV21 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SV21 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(147,plain,
! [SV22: g] :
( ( ( ~ ( sK3_SY39 @ SV22 ) )
= $true )
| ( ( sK5_SY74 @ ( sK1_Xh1 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(148,plain,
! [SV23: b] :
( ( ( ~ ( sK5_SY74 @ SV23 ) )
= $true )
| ( ( sK5_SY74 @ ( sK6_SY90 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(149,plain,
! [SV24: g] :
( ( ( ~ ( sK3_SY39 @ SV24 ) )
= $true )
| ( ( sK3_SY39 @ ( sK4_SY57 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(150,plain,
( ( ~ ( sK3_SY39 @ sK11_SY130 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(151,plain,
( ( ~ ~ ( sK7_SY105 @ ( sK2_SY20 @ ( sK1_Xh1 @ sK11_SY130 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(152,plain,
! [SV17: b] :
( ( ( sK5_SY74 @ SV17 )
= $false )
| ( ( ( sK2_SY20 @ ( sK6_SY90 @ SV17 ) )
= ( sK8_SY119 @ ( sK2_SY20 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(153,plain,
! [SV18: b] :
( ( ( sK5_SY74 @ SV18 )
= $false )
| ( ( sK7_SY105 @ ( sK2_SY20 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(154,plain,
! [SV19: a] :
( ( ( sK7_SY105 @ SV19 )
= $false )
| ( ( sK7_SY105 @ ( sK8_SY119 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(155,plain,
! [SV20: b] :
( ( ( sK5_SY74 @ SV20 )
= $false )
| ( ( sK5_SY74 @ ( sK6_SY90 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(156,plain,
! [SV21: g] :
( ( ( sK3_SY39 @ SV21 )
= $false )
| ( ( ( sK1_Xh1 @ ( sK4_SY57 @ SV21 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SV21 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(157,plain,
! [SV22: g] :
( ( ( sK3_SY39 @ SV22 )
= $false )
| ( ( sK5_SY74 @ ( sK1_Xh1 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(158,plain,
! [SV23: b] :
( ( ( sK5_SY74 @ SV23 )
= $false )
| ( ( sK5_SY74 @ ( sK6_SY90 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(159,plain,
! [SV24: g] :
( ( ( sK3_SY39 @ SV24 )
= $false )
| ( ( sK3_SY39 @ ( sK4_SY57 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(160,plain,
( ( sK3_SY39 @ sK11_SY130 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(161,plain,
( ( ~ ( sK7_SY105 @ ( sK2_SY20 @ ( sK1_Xh1 @ sK11_SY130 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(162,plain,
( ( sK7_SY105 @ ( sK2_SY20 @ ( sK1_Xh1 @ sK11_SY130 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(163,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[152,162,160,159,158,157,156,155,154,153]) ).
thf(164,plain,
( ( ! [SY139: b] :
( ~ ( sK5_SY74 @ SY139 )
| ( ( sK2_SY20 @ ( sK6_SY90 @ SY139 ) )
= ( sK8_SY119 @ ( sK2_SY20 @ SY139 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(165,plain,
( ( ! [SY126: b] :
( ~ ( sK5_SY74 @ SY126 )
| ( sK7_SY105 @ ( sK2_SY20 @ SY126 ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(166,plain,
( ( ! [SY137: a] :
( ~ ( sK7_SY105 @ SY137 )
| ( sK7_SY105 @ ( sK8_SY119 @ SY137 ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(167,plain,
( ( ! [SY111: b] :
( ~ ( sK5_SY74 @ SY111 )
| ( sK5_SY74 @ ( sK6_SY90 @ SY111 ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(168,plain,
( ( ! [SY110: g] :
( ~ ( sK3_SY39 @ SY110 )
| ( ( sK1_Xh1 @ ( sK4_SY57 @ SY110 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SY110 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(169,plain,
( ( ! [SY95: g] :
( ~ ( sK3_SY39 @ SY95 )
| ( sK5_SY74 @ ( sK1_Xh1 @ SY95 ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(170,plain,
( ( ! [SY108: b] :
( ~ ( sK5_SY74 @ SY108 )
| ( sK5_SY74 @ ( sK6_SY90 @ SY108 ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(171,plain,
( ( ! [SY78: g] :
( ~ ( sK3_SY39 @ SY78 )
| ( sK3_SY39 @ ( sK4_SY57 @ SY78 ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(172,plain,
( ( ( sK3_SY39 @ sK12_SY143 )
& ( ( sK2_SY20 @ ( sK1_Xh1 @ ( sK4_SY57 @ sK12_SY143 ) ) )
!= ( sK8_SY119 @ ( sK2_SY20 @ ( sK1_Xh1 @ sK12_SY143 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(173,plain,
( ( ~ ( ~ ( sK3_SY39 @ sK12_SY143 )
| ~ ( ( ( sK2_SY20 @ ( sK1_Xh1 @ ( sK4_SY57 @ sK12_SY143 ) ) )
!= ( sK8_SY119 @ ( sK2_SY20 @ ( sK1_Xh1 @ sK12_SY143 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(174,plain,
! [SV25: b] :
( ( ~ ( sK5_SY74 @ SV25 )
| ( ( sK2_SY20 @ ( sK6_SY90 @ SV25 ) )
= ( sK8_SY119 @ ( sK2_SY20 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(175,plain,
! [SV26: b] :
( ( ~ ( sK5_SY74 @ SV26 )
| ( sK7_SY105 @ ( sK2_SY20 @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(176,plain,
! [SV27: a] :
( ( ~ ( sK7_SY105 @ SV27 )
| ( sK7_SY105 @ ( sK8_SY119 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(177,plain,
! [SV28: b] :
( ( ~ ( sK5_SY74 @ SV28 )
| ( sK5_SY74 @ ( sK6_SY90 @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(178,plain,
! [SV29: g] :
( ( ~ ( sK3_SY39 @ SV29 )
| ( ( sK1_Xh1 @ ( sK4_SY57 @ SV29 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SV29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(179,plain,
! [SV30: g] :
( ( ~ ( sK3_SY39 @ SV30 )
| ( sK5_SY74 @ ( sK1_Xh1 @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(180,plain,
! [SV31: b] :
( ( ~ ( sK5_SY74 @ SV31 )
| ( sK5_SY74 @ ( sK6_SY90 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(181,plain,
! [SV32: g] :
( ( ~ ( sK3_SY39 @ SV32 )
| ( sK3_SY39 @ ( sK4_SY57 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(182,plain,
( ( ~ ( sK3_SY39 @ sK12_SY143 )
| ~ ( ( ( sK2_SY20 @ ( sK1_Xh1 @ ( sK4_SY57 @ sK12_SY143 ) ) )
!= ( sK8_SY119 @ ( sK2_SY20 @ ( sK1_Xh1 @ sK12_SY143 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(183,plain,
! [SV25: b] :
( ( ( ~ ( sK5_SY74 @ SV25 ) )
= $true )
| ( ( ( sK2_SY20 @ ( sK6_SY90 @ SV25 ) )
= ( sK8_SY119 @ ( sK2_SY20 @ SV25 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(184,plain,
! [SV26: b] :
( ( ( ~ ( sK5_SY74 @ SV26 ) )
= $true )
| ( ( sK7_SY105 @ ( sK2_SY20 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(185,plain,
! [SV27: a] :
( ( ( ~ ( sK7_SY105 @ SV27 ) )
= $true )
| ( ( sK7_SY105 @ ( sK8_SY119 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(186,plain,
! [SV28: b] :
( ( ( ~ ( sK5_SY74 @ SV28 ) )
= $true )
| ( ( sK5_SY74 @ ( sK6_SY90 @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(187,plain,
! [SV29: g] :
( ( ( ~ ( sK3_SY39 @ SV29 ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY57 @ SV29 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SV29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(188,plain,
! [SV30: g] :
( ( ( ~ ( sK3_SY39 @ SV30 ) )
= $true )
| ( ( sK5_SY74 @ ( sK1_Xh1 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(189,plain,
! [SV31: b] :
( ( ( ~ ( sK5_SY74 @ SV31 ) )
= $true )
| ( ( sK5_SY74 @ ( sK6_SY90 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(190,plain,
! [SV32: g] :
( ( ( ~ ( sK3_SY39 @ SV32 ) )
= $true )
| ( ( sK3_SY39 @ ( sK4_SY57 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(191,plain,
( ( ~ ( sK3_SY39 @ sK12_SY143 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(192,plain,
( ( ~ ( ( ( sK2_SY20 @ ( sK1_Xh1 @ ( sK4_SY57 @ sK12_SY143 ) ) )
!= ( sK8_SY119 @ ( sK2_SY20 @ ( sK1_Xh1 @ sK12_SY143 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(193,plain,
! [SV25: b] :
( ( ( sK5_SY74 @ SV25 )
= $false )
| ( ( ( sK2_SY20 @ ( sK6_SY90 @ SV25 ) )
= ( sK8_SY119 @ ( sK2_SY20 @ SV25 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(194,plain,
! [SV26: b] :
( ( ( sK5_SY74 @ SV26 )
= $false )
| ( ( sK7_SY105 @ ( sK2_SY20 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(195,plain,
! [SV27: a] :
( ( ( sK7_SY105 @ SV27 )
= $false )
| ( ( sK7_SY105 @ ( sK8_SY119 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(196,plain,
! [SV28: b] :
( ( ( sK5_SY74 @ SV28 )
= $false )
| ( ( sK5_SY74 @ ( sK6_SY90 @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(197,plain,
! [SV29: g] :
( ( ( sK3_SY39 @ SV29 )
= $false )
| ( ( ( sK1_Xh1 @ ( sK4_SY57 @ SV29 ) )
= ( sK6_SY90 @ ( sK1_Xh1 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(198,plain,
! [SV30: g] :
( ( ( sK3_SY39 @ SV30 )
= $false )
| ( ( sK5_SY74 @ ( sK1_Xh1 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(199,plain,
! [SV31: b] :
( ( ( sK5_SY74 @ SV31 )
= $false )
| ( ( sK5_SY74 @ ( sK6_SY90 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(200,plain,
! [SV32: g] :
( ( ( sK3_SY39 @ SV32 )
= $false )
| ( ( sK3_SY39 @ ( sK4_SY57 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(201,plain,
( ( sK3_SY39 @ sK12_SY143 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(202,plain,
( ( ( ( sK2_SY20 @ ( sK1_Xh1 @ ( sK4_SY57 @ sK12_SY143 ) ) )
!= ( sK8_SY119 @ ( sK2_SY20 @ ( sK1_Xh1 @ sK12_SY143 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(203,plain,
( ( ( sK2_SY20 @ ( sK1_Xh1 @ ( sK4_SY57 @ sK12_SY143 ) ) )
= ( sK8_SY119 @ ( sK2_SY20 @ ( sK1_Xh1 @ sK12_SY143 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(204,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[193,203,201,200,199,198,197,196,195,194]) ).
thf(205,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[204,81,122,163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU903^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 17:22:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.38
% 0.13/0.38 No.of.Axioms: 0
% 0.13/0.38
% 0.13/0.38 Length.of.Defs: 0
% 0.13/0.38
% 0.13/0.38 Contains.Choice.Funs: false
% 0.20/0.40 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)........
% 0.38/0.57
% 0.38/0.57 ********************************
% 0.38/0.57 * All subproblems solved! *
% 0.38/0.57 ********************************
% 0.38/0.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:8,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:204,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.38/0.59
% 0.38/0.59 %**** Beginning of derivation protocol ****
% 0.38/0.59 % SZS output start CNFRefutation
% See solution above
% 0.38/0.59
% 0.38/0.59 %**** End of derivation protocol ****
% 0.38/0.59 %**** no. of clauses in derivation: 205 ****
% 0.38/0.59 %**** clause counter: 204 ****
% 0.38/0.59
% 0.38/0.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:8,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:204,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------