TSTP Solution File: SEV149^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV149^5 : 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 : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 17:35:18 EDT 2022
% Result : Theorem 0.40s 0.61s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 14
% Syntax : Number of formulae : 180 ( 45 unt; 13 typ; 0 def)
% Number of atoms : 1815 ( 413 equ; 0 cnn)
% Maximal formula atoms : 5 ( 10 avg)
% Number of connectives : 4787 (1024 ~; 879 |; 136 &;2582 @)
% ( 0 <=>; 166 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 125 ( 125 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 801 ( 0 ^ 801 !; 0 ?; 801 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK10_SY59,type,
sK10_SY59: ( a > $o ) > a ).
thf(tp_sK11_SY164,type,
sK11_SY164: ( a > $o ) > a ).
thf(tp_sK12_SY83,type,
sK12_SY83: ( a > $o ) > a ).
thf(tp_sK1_R,type,
sK1_R: a > a > $o ).
thf(tp_sK2_SY28,type,
sK2_SY28: a > a > $o ).
thf(tp_sK3_SY55,type,
sK3_SY55: a ).
thf(tp_sK4_SY81,type,
sK4_SY81: a ).
thf(tp_sK5_SY110,type,
sK5_SY110: a > $o ).
thf(tp_sK6_SY77,type,
sK6_SY77: a > a > a > $o ).
thf(tp_sK7_SY47,type,
sK7_SY47: a > a > a > $o ).
thf(tp_sK8_SY92,type,
sK8_SY92: a > a > $o ).
thf(tp_sK9_SY88,type,
sK9_SY88: a > a > $o ).
thf(1,conjecture,
! [R: a > a > $o,S: a > a > $o,Xx: a,Xy: a] :
( ! [Xq: a > $o] :
( ( ! [Xw: a] :
( ( ( R @ Xx @ Xw )
| ( S @ Xx @ Xw ) )
=> ( Xq @ Xw ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq @ Xu )
& ( ( R @ Xu @ Xv )
| ( S @ Xu @ Xv ) ) )
=> ( Xq @ Xv ) ) )
=> ( Xq @ Xy ) )
=> ! [Xq: a > $o] :
( ( ! [Xw: a] :
( ( ! [Xq0: a > $o] :
( ( ! [Xw0: a] :
( ( R @ Xx @ Xw0 )
=> ( Xq0 @ Xw0 ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq0 @ Xu )
& ( R @ Xu @ Xv ) )
=> ( Xq0 @ Xv ) ) )
=> ( Xq0 @ Xw ) )
| ! [Xq0: a > $o] :
( ( ! [Xw0: a] :
( ( S @ Xx @ Xw0 )
=> ( Xq0 @ Xw0 ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq0 @ Xu )
& ( S @ Xu @ Xv ) )
=> ( Xq0 @ Xv ) ) )
=> ( Xq0 @ Xw ) ) )
=> ( Xq @ Xw ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq @ Xu )
& ( ! [Xq0: a > $o] :
( ( ! [Xw: a] :
( ( R @ Xu @ Xw )
=> ( Xq0 @ Xw ) )
& ! [Xu0: a,Xv0: a] :
( ( ( Xq0 @ Xu0 )
& ( R @ Xu0 @ Xv0 ) )
=> ( Xq0 @ Xv0 ) ) )
=> ( Xq0 @ Xv ) )
| ! [Xq0: a > $o] :
( ( ! [Xw: a] :
( ( S @ Xu @ Xw )
=> ( Xq0 @ Xw ) )
& ! [Xu0: a,Xv0: a] :
( ( ( Xq0 @ Xu0 )
& ( S @ Xu0 @ Xv0 ) )
=> ( Xq0 @ Xv0 ) ) )
=> ( Xq0 @ Xv ) ) ) )
=> ( Xq @ Xv ) ) )
=> ( Xq @ Xy ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM251B_pme) ).
thf(2,negated_conjecture,
( ( ! [R: a > a > $o,S: a > a > $o,Xx: a,Xy: a] :
( ! [Xq: a > $o] :
( ( ! [Xw: a] :
( ( ( R @ Xx @ Xw )
| ( S @ Xx @ Xw ) )
=> ( Xq @ Xw ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq @ Xu )
& ( ( R @ Xu @ Xv )
| ( S @ Xu @ Xv ) ) )
=> ( Xq @ Xv ) ) )
=> ( Xq @ Xy ) )
=> ! [Xq: a > $o] :
( ( ! [Xw: a] :
( ( ! [Xq0: a > $o] :
( ( ! [Xw0: a] :
( ( R @ Xx @ Xw0 )
=> ( Xq0 @ Xw0 ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq0 @ Xu )
& ( R @ Xu @ Xv ) )
=> ( Xq0 @ Xv ) ) )
=> ( Xq0 @ Xw ) )
| ! [Xq0: a > $o] :
( ( ! [Xw0: a] :
( ( S @ Xx @ Xw0 )
=> ( Xq0 @ Xw0 ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq0 @ Xu )
& ( S @ Xu @ Xv ) )
=> ( Xq0 @ Xv ) ) )
=> ( Xq0 @ Xw ) ) )
=> ( Xq @ Xw ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq @ Xu )
& ( ! [Xq0: a > $o] :
( ( ! [Xw: a] :
( ( R @ Xu @ Xw )
=> ( Xq0 @ Xw ) )
& ! [Xu0: a,Xv0: a] :
( ( ( Xq0 @ Xu0 )
& ( R @ Xu0 @ Xv0 ) )
=> ( Xq0 @ Xv0 ) ) )
=> ( Xq0 @ Xv ) )
| ! [Xq0: a > $o] :
( ( ! [Xw: a] :
( ( S @ Xu @ Xw )
=> ( Xq0 @ Xw ) )
& ! [Xu0: a,Xv0: a] :
( ( ( Xq0 @ Xu0 )
& ( S @ Xu0 @ Xv0 ) )
=> ( Xq0 @ Xv0 ) ) )
=> ( Xq0 @ Xv ) ) ) )
=> ( Xq @ Xv ) ) )
=> ( Xq @ Xy ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [R: a > a > $o,S: a > a > $o,Xx: a,Xy: a] :
( ! [Xq: a > $o] :
( ( ! [Xw: a] :
( ( ( R @ Xx @ Xw )
| ( S @ Xx @ Xw ) )
=> ( Xq @ Xw ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq @ Xu )
& ( ( R @ Xu @ Xv )
| ( S @ Xu @ Xv ) ) )
=> ( Xq @ Xv ) ) )
=> ( Xq @ Xy ) )
=> ! [Xq: a > $o] :
( ( ! [Xw: a] :
( ( ! [Xq0: a > $o] :
( ( ! [Xw0: a] :
( ( R @ Xx @ Xw0 )
=> ( Xq0 @ Xw0 ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq0 @ Xu )
& ( R @ Xu @ Xv ) )
=> ( Xq0 @ Xv ) ) )
=> ( Xq0 @ Xw ) )
| ! [Xq0: a > $o] :
( ( ! [Xw0: a] :
( ( S @ Xx @ Xw0 )
=> ( Xq0 @ Xw0 ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq0 @ Xu )
& ( S @ Xu @ Xv ) )
=> ( Xq0 @ Xv ) ) )
=> ( Xq0 @ Xw ) ) )
=> ( Xq @ Xw ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq @ Xu )
& ( ! [Xq0: a > $o] :
( ( ! [Xw: a] :
( ( R @ Xu @ Xw )
=> ( Xq0 @ Xw ) )
& ! [Xu0: a,Xv0: a] :
( ( ( Xq0 @ Xu0 )
& ( R @ Xu0 @ Xv0 ) )
=> ( Xq0 @ Xv0 ) ) )
=> ( Xq0 @ Xv ) )
| ! [Xq0: a > $o] :
( ( ! [Xw: a] :
( ( S @ Xu @ Xw )
=> ( Xq0 @ Xw ) )
& ! [Xu0: a,Xv0: a] :
( ( ( Xq0 @ Xu0 )
& ( S @ Xu0 @ Xv0 ) )
=> ( Xq0 @ Xv0 ) ) )
=> ( Xq0 @ Xv ) ) ) )
=> ( Xq @ Xv ) ) )
=> ( Xq @ Xy ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY28: a > a > $o,SY29: a,SY30: a] :
( ! [SY31: a > $o] :
( ( ! [SY32: a] :
( ( ( sK1_R @ SY29 @ SY32 )
| ( SY28 @ SY29 @ SY32 ) )
=> ( SY31 @ SY32 ) )
& ! [SY33: a,SY34: a] :
( ( ( SY31 @ SY33 )
& ( ( sK1_R @ SY33 @ SY34 )
| ( SY28 @ SY33 @ SY34 ) ) )
=> ( SY31 @ SY34 ) ) )
=> ( SY31 @ SY30 ) )
=> ! [SY35: a > $o] :
( ( ! [SY36: a] :
( ( ! [SY37: a > $o] :
( ( ! [SY38: a] :
( ( sK1_R @ SY29 @ SY38 )
=> ( SY37 @ SY38 ) )
& ! [SY39: a,SY40: a] :
( ( ( SY37 @ SY39 )
& ( sK1_R @ SY39 @ SY40 ) )
=> ( SY37 @ SY40 ) ) )
=> ( SY37 @ SY36 ) )
| ! [Xq0: a > $o] :
( ( ! [Xw0: a] :
( ( SY28 @ SY29 @ Xw0 )
=> ( Xq0 @ Xw0 ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq0 @ Xu )
& ( SY28 @ Xu @ Xv ) )
=> ( Xq0 @ Xv ) ) )
=> ( Xq0 @ SY36 ) ) )
=> ( SY35 @ SY36 ) )
& ! [SY45: a,SY46: a] :
( ( ( SY35 @ SY45 )
& ( ! [SY47: a > $o] :
( ( ! [SY48: a] :
( ( sK1_R @ SY45 @ SY48 )
=> ( SY47 @ SY48 ) )
& ! [SY49: a,SY50: a] :
( ( ( SY47 @ SY49 )
& ( sK1_R @ SY49 @ SY50 ) )
=> ( SY47 @ SY50 ) ) )
=> ( SY47 @ SY46 ) )
| ! [Xq0: a > $o] :
( ( ! [Xw: a] :
( ( SY28 @ SY45 @ Xw )
=> ( Xq0 @ Xw ) )
& ! [Xu0: a,Xv0: a] :
( ( ( Xq0 @ Xu0 )
& ( SY28 @ Xu0 @ Xv0 ) )
=> ( Xq0 @ Xv0 ) ) )
=> ( Xq0 @ SY46 ) ) ) )
=> ( SY35 @ SY46 ) ) )
=> ( SY35 @ SY30 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY55: a,SY56: a] :
( ! [SY57: a > $o] :
( ( ! [SY58: a] :
( ( ( sK1_R @ SY55 @ SY58 )
| ( sK2_SY28 @ SY55 @ SY58 ) )
=> ( SY57 @ SY58 ) )
& ! [SY59: a,SY60: a] :
( ( ( SY57 @ SY59 )
& ( ( sK1_R @ SY59 @ SY60 )
| ( sK2_SY28 @ SY59 @ SY60 ) ) )
=> ( SY57 @ SY60 ) ) )
=> ( SY57 @ SY56 ) )
=> ! [SY61: a > $o] :
( ( ! [SY62: a] :
( ( ! [SY37: a > $o] :
( ( ! [SY38: a] :
( ( sK1_R @ SY55 @ SY38 )
=> ( SY37 @ SY38 ) )
& ! [SY39: a,SY40: a] :
( ( ( SY37 @ SY39 )
& ( sK1_R @ SY39 @ SY40 ) )
=> ( SY37 @ SY40 ) ) )
=> ( SY37 @ SY62 ) )
| ! [SY67: a > $o] :
( ( ! [SY68: a] :
( ( sK2_SY28 @ SY55 @ SY68 )
=> ( SY67 @ SY68 ) )
& ! [SY69: a,SY70: a] :
( ( ( SY67 @ SY69 )
& ( sK2_SY28 @ SY69 @ SY70 ) )
=> ( SY67 @ SY70 ) ) )
=> ( SY67 @ SY62 ) ) )
=> ( SY61 @ SY62 ) )
& ! [SY71: a,SY72: a] :
( ( ( SY61 @ SY71 )
& ( ! [SY47: a > $o] :
( ( ! [SY48: a] :
( ( sK1_R @ SY71 @ SY48 )
=> ( SY47 @ SY48 ) )
& ! [SY49: a,SY50: a] :
( ( ( SY47 @ SY49 )
& ( sK1_R @ SY49 @ SY50 ) )
=> ( SY47 @ SY50 ) ) )
=> ( SY47 @ SY72 ) )
| ! [SY77: a > $o] :
( ( ! [SY78: a] :
( ( sK2_SY28 @ SY71 @ SY78 )
=> ( SY77 @ SY78 ) )
& ! [SY79: a,SY80: a] :
( ( ( SY77 @ SY79 )
& ( sK2_SY28 @ SY79 @ SY80 ) )
=> ( SY77 @ SY80 ) ) )
=> ( SY77 @ SY72 ) ) ) )
=> ( SY61 @ SY72 ) ) )
=> ( SY61 @ SY56 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY81: a] :
( ! [SY82: a > $o] :
( ( ! [SY83: a] :
( ( ( sK1_R @ sK3_SY55 @ SY83 )
| ( sK2_SY28 @ sK3_SY55 @ SY83 ) )
=> ( SY82 @ SY83 ) )
& ! [SY59: a,SY60: a] :
( ( ( SY82 @ SY59 )
& ( ( sK1_R @ SY59 @ SY60 )
| ( sK2_SY28 @ SY59 @ SY60 ) ) )
=> ( SY82 @ SY60 ) ) )
=> ( SY82 @ SY81 ) )
=> ! [SY86: a > $o] :
( ( ! [SY87: a] :
( ( ! [SY88: a > $o] :
( ( ! [SY89: a] :
( ( sK1_R @ sK3_SY55 @ SY89 )
=> ( SY88 @ SY89 ) )
& ! [SY39: a,SY40: a] :
( ( ( SY88 @ SY39 )
& ( sK1_R @ SY39 @ SY40 ) )
=> ( SY88 @ SY40 ) ) )
=> ( SY88 @ SY87 ) )
| ! [SY92: a > $o] :
( ( ! [SY93: a] :
( ( sK2_SY28 @ sK3_SY55 @ SY93 )
=> ( SY92 @ SY93 ) )
& ! [SY69: a,SY70: a] :
( ( ( SY92 @ SY69 )
& ( sK2_SY28 @ SY69 @ SY70 ) )
=> ( SY92 @ SY70 ) ) )
=> ( SY92 @ SY87 ) ) )
=> ( SY86 @ SY87 ) )
& ! [SY71: a,SY72: a] :
( ( ( SY86 @ SY71 )
& ( ! [SY47: a > $o] :
( ( ! [SY48: a] :
( ( sK1_R @ SY71 @ SY48 )
=> ( SY47 @ SY48 ) )
& ! [SY49: a,SY50: a] :
( ( ( SY47 @ SY49 )
& ( sK1_R @ SY49 @ SY50 ) )
=> ( SY47 @ SY50 ) ) )
=> ( SY47 @ SY72 ) )
| ! [SY77: a > $o] :
( ( ! [SY78: a] :
( ( sK2_SY28 @ SY71 @ SY78 )
=> ( SY77 @ SY78 ) )
& ! [SY79: a,SY80: a] :
( ( ( SY77 @ SY79 )
& ( sK2_SY28 @ SY79 @ SY80 ) )
=> ( SY77 @ SY80 ) ) )
=> ( SY77 @ SY72 ) ) ) )
=> ( SY86 @ SY72 ) ) )
=> ( SY86 @ SY81 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY106: a > $o] :
( ( ! [SY83: a] :
( ( ( sK1_R @ sK3_SY55 @ SY83 )
| ( sK2_SY28 @ sK3_SY55 @ SY83 ) )
=> ( SY106 @ SY83 ) )
& ! [SY59: a,SY60: a] :
( ( ( SY106 @ SY59 )
& ( ( sK1_R @ SY59 @ SY60 )
| ( sK2_SY28 @ SY59 @ SY60 ) ) )
=> ( SY106 @ SY60 ) ) )
=> ( SY106 @ sK4_SY81 ) )
=> ! [SY110: a > $o] :
( ( ! [SY87: a] :
( ( ! [SY88: a > $o] :
( ( ! [SY89: a] :
( ( sK1_R @ sK3_SY55 @ SY89 )
=> ( SY88 @ SY89 ) )
& ! [SY39: a,SY40: a] :
( ( ( SY88 @ SY39 )
& ( sK1_R @ SY39 @ SY40 ) )
=> ( SY88 @ SY40 ) ) )
=> ( SY88 @ SY87 ) )
| ! [SY92: a > $o] :
( ( ! [SY93: a] :
( ( sK2_SY28 @ sK3_SY55 @ SY93 )
=> ( SY92 @ SY93 ) )
& ! [SY69: a,SY70: a] :
( ( ( SY92 @ SY69 )
& ( sK2_SY28 @ SY69 @ SY70 ) )
=> ( SY92 @ SY70 ) ) )
=> ( SY92 @ SY87 ) ) )
=> ( SY110 @ SY87 ) )
& ! [SY71: a,SY72: a] :
( ( ( SY110 @ SY71 )
& ( ! [SY47: a > $o] :
( ( ! [SY48: a] :
( ( sK1_R @ SY71 @ SY48 )
=> ( SY47 @ SY48 ) )
& ! [SY49: a,SY50: a] :
( ( ( SY47 @ SY49 )
& ( sK1_R @ SY49 @ SY50 ) )
=> ( SY47 @ SY50 ) ) )
=> ( SY47 @ SY72 ) )
| ! [SY77: a > $o] :
( ( ! [SY78: a] :
( ( sK2_SY28 @ SY71 @ SY78 )
=> ( SY77 @ SY78 ) )
& ! [SY79: a,SY80: a] :
( ( ( SY77 @ SY79 )
& ( sK2_SY28 @ SY79 @ SY80 ) )
=> ( SY77 @ SY80 ) ) )
=> ( SY77 @ SY72 ) ) ) )
=> ( SY110 @ SY72 ) ) )
=> ( SY110 @ sK4_SY81 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY106: a > $o] :
( ( ! [SY83: a] :
( ( ( sK1_R @ sK3_SY55 @ SY83 )
| ( sK2_SY28 @ sK3_SY55 @ SY83 ) )
=> ( SY106 @ SY83 ) )
& ! [SY59: a,SY60: a] :
( ( ( SY106 @ SY59 )
& ( ( sK1_R @ SY59 @ SY60 )
| ( sK2_SY28 @ SY59 @ SY60 ) ) )
=> ( SY106 @ SY60 ) ) )
=> ( SY106 @ sK4_SY81 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY110: a > $o] :
( ( ! [SY87: a] :
( ( ! [SY88: a > $o] :
( ( ! [SY89: a] :
( ( sK1_R @ sK3_SY55 @ SY89 )
=> ( SY88 @ SY89 ) )
& ! [SY39: a,SY40: a] :
( ( ( SY88 @ SY39 )
& ( sK1_R @ SY39 @ SY40 ) )
=> ( SY88 @ SY40 ) ) )
=> ( SY88 @ SY87 ) )
| ! [SY92: a > $o] :
( ( ! [SY93: a] :
( ( sK2_SY28 @ sK3_SY55 @ SY93 )
=> ( SY92 @ SY93 ) )
& ! [SY69: a,SY70: a] :
( ( ( SY92 @ SY69 )
& ( sK2_SY28 @ SY69 @ SY70 ) )
=> ( SY92 @ SY70 ) ) )
=> ( SY92 @ SY87 ) ) )
=> ( SY110 @ SY87 ) )
& ! [SY71: a,SY72: a] :
( ( ( SY110 @ SY71 )
& ( ! [SY47: a > $o] :
( ( ! [SY48: a] :
( ( sK1_R @ SY71 @ SY48 )
=> ( SY47 @ SY48 ) )
& ! [SY49: a,SY50: a] :
( ( ( SY47 @ SY49 )
& ( sK1_R @ SY49 @ SY50 ) )
=> ( SY47 @ SY50 ) ) )
=> ( SY47 @ SY72 ) )
| ! [SY77: a > $o] :
( ( ! [SY78: a] :
( ( sK2_SY28 @ SY71 @ SY78 )
=> ( SY77 @ SY78 ) )
& ! [SY79: a,SY80: a] :
( ( ( SY77 @ SY79 )
& ( sK2_SY28 @ SY79 @ SY80 ) )
=> ( SY77 @ SY80 ) ) )
=> ( SY77 @ SY72 ) ) ) )
=> ( SY110 @ SY72 ) ) )
=> ( SY110 @ sK4_SY81 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(10,plain,
( ( ~ ! [SY110: a > $o] :
( ( ! [SY87: a] :
( ( ! [SY88: a > $o] :
( ( ! [SY89: a] :
( ( sK1_R @ sK3_SY55 @ SY89 )
=> ( SY88 @ SY89 ) )
& ! [SY39: a,SY40: a] :
( ( ( SY88 @ SY39 )
& ( sK1_R @ SY39 @ SY40 ) )
=> ( SY88 @ SY40 ) ) )
=> ( SY88 @ SY87 ) )
| ! [SY92: a > $o] :
( ( ! [SY93: a] :
( ( sK2_SY28 @ sK3_SY55 @ SY93 )
=> ( SY92 @ SY93 ) )
& ! [SY69: a,SY70: a] :
( ( ( SY92 @ SY69 )
& ( sK2_SY28 @ SY69 @ SY70 ) )
=> ( SY92 @ SY70 ) ) )
=> ( SY92 @ SY87 ) ) )
=> ( SY110 @ SY87 ) )
& ! [SY71: a,SY72: a] :
( ( ( SY110 @ SY71 )
& ( ! [SY47: a > $o] :
( ( ! [SY48: a] :
( ( sK1_R @ SY71 @ SY48 )
=> ( SY47 @ SY48 ) )
& ! [SY49: a,SY50: a] :
( ( ( SY47 @ SY49 )
& ( sK1_R @ SY49 @ SY50 ) )
=> ( SY47 @ SY50 ) ) )
=> ( SY47 @ SY72 ) )
| ! [SY77: a > $o] :
( ( ! [SY78: a] :
( ( sK2_SY28 @ SY71 @ SY78 )
=> ( SY77 @ SY78 ) )
& ! [SY79: a,SY80: a] :
( ( ( SY77 @ SY79 )
& ( sK2_SY28 @ SY79 @ SY80 ) )
=> ( SY77 @ SY80 ) ) )
=> ( SY77 @ SY72 ) ) ) )
=> ( SY110 @ SY72 ) ) )
=> ( SY110 @ sK4_SY81 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [SY130: a] :
( ( ! [SY161: a] :
( ~ ( sK1_R @ sK3_SY55 @ SY161 )
| ( sK9_SY88 @ SY130 @ SY161 ) )
& ! [SY162: a,SY163: a] :
( ~ ( sK9_SY88 @ SY130 @ SY162 )
| ~ ( sK1_R @ SY162 @ SY163 )
| ( sK9_SY88 @ SY130 @ SY163 ) )
& ~ ( sK9_SY88 @ SY130 @ SY130 ) )
| ( sK5_SY110 @ SY130 ) )
& ! [SY135: a] :
( ( ! [SY158: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SY158 )
| ( sK8_SY92 @ SY135 @ SY158 ) )
& ! [SY159: a,SY160: a] :
( ~ ( sK8_SY92 @ SY135 @ SY159 )
| ~ ( sK2_SY28 @ SY159 @ SY160 )
| ( sK8_SY92 @ SY135 @ SY160 ) )
& ~ ( sK8_SY92 @ SY135 @ SY135 ) )
| ( sK5_SY110 @ SY135 ) )
& ! [SY140: a,SY141: a] :
( ~ ( sK5_SY110 @ SY140 )
| ( ! [SY155: a] :
( ~ ( sK1_R @ SY140 @ SY155 )
| ( sK7_SY47 @ SY141 @ SY140 @ SY155 ) )
& ! [SY156: a,SY157: a] :
( ~ ( sK7_SY47 @ SY141 @ SY140 @ SY156 )
| ~ ( sK1_R @ SY156 @ SY157 )
| ( sK7_SY47 @ SY141 @ SY140 @ SY157 ) )
& ~ ( sK7_SY47 @ SY141 @ SY140 @ SY141 ) )
| ( sK5_SY110 @ SY141 ) )
& ! [SY146: a,SY147: a] :
( ~ ( sK5_SY110 @ SY146 )
| ( ! [SY152: a] :
( ~ ( sK2_SY28 @ SY146 @ SY152 )
| ( sK6_SY77 @ SY147 @ SY146 @ SY152 ) )
& ! [SY153: a,SY154: a] :
( ~ ( sK6_SY77 @ SY147 @ SY146 @ SY153 )
| ~ ( sK2_SY28 @ SY153 @ SY154 )
| ( sK6_SY77 @ SY147 @ SY146 @ SY154 ) )
& ~ ( sK6_SY77 @ SY147 @ SY146 @ SY147 ) )
| ( sK5_SY110 @ SY147 ) )
& ~ ( sK5_SY110 @ sK4_SY81 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(12,plain,
( ( ! [SY106: a > $o] :
( ( ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SY106 ) )
| ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SY106 ) ) )
& ~ ( SY106 @ ( sK12_SY83 @ SY106 ) ) )
| ( ( SY106 @ ( sK10_SY59 @ SY106 ) )
& ( ( sK1_R @ ( sK10_SY59 @ SY106 ) @ ( sK11_SY164 @ SY106 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SY106 ) @ ( sK11_SY164 @ SY106 ) ) )
& ~ ( SY106 @ ( sK11_SY164 @ SY106 ) ) )
| ( SY106 @ sK4_SY81 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(13,plain,
( ( ! [SY106: a > $o] :
( ( ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SY106 ) )
| ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SY106 ) ) )
& ~ ( SY106 @ ( sK12_SY83 @ SY106 ) ) )
| ( ( SY106 @ ( sK10_SY59 @ SY106 ) )
& ( ( sK1_R @ ( sK10_SY59 @ SY106 ) @ ( sK11_SY164 @ SY106 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SY106 ) @ ( sK11_SY164 @ SY106 ) ) )
& ~ ( SY106 @ ( sK11_SY164 @ SY106 ) ) )
| ( SY106 @ sK4_SY81 ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [SY130: a] :
( ( ! [SY161: a] :
( ~ ( sK1_R @ sK3_SY55 @ SY161 )
| ( sK9_SY88 @ SY130 @ SY161 ) )
& ! [SY162: a,SY163: a] :
( ~ ( sK9_SY88 @ SY130 @ SY162 )
| ~ ( sK1_R @ SY162 @ SY163 )
| ( sK9_SY88 @ SY130 @ SY163 ) )
& ~ ( sK9_SY88 @ SY130 @ SY130 ) )
| ( sK5_SY110 @ SY130 ) )
& ! [SY135: a] :
( ( ! [SY158: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SY158 )
| ( sK8_SY92 @ SY135 @ SY158 ) )
& ! [SY159: a,SY160: a] :
( ~ ( sK8_SY92 @ SY135 @ SY159 )
| ~ ( sK2_SY28 @ SY159 @ SY160 )
| ( sK8_SY92 @ SY135 @ SY160 ) )
& ~ ( sK8_SY92 @ SY135 @ SY135 ) )
| ( sK5_SY110 @ SY135 ) )
& ! [SY140: a,SY141: a] :
( ~ ( sK5_SY110 @ SY140 )
| ( ! [SY155: a] :
( ~ ( sK1_R @ SY140 @ SY155 )
| ( sK7_SY47 @ SY141 @ SY140 @ SY155 ) )
& ! [SY156: a,SY157: a] :
( ~ ( sK7_SY47 @ SY141 @ SY140 @ SY156 )
| ~ ( sK1_R @ SY156 @ SY157 )
| ( sK7_SY47 @ SY141 @ SY140 @ SY157 ) )
& ~ ( sK7_SY47 @ SY141 @ SY140 @ SY141 ) )
| ( sK5_SY110 @ SY141 ) )
& ! [SY146: a,SY147: a] :
( ~ ( sK5_SY110 @ SY146 )
| ( ! [SY152: a] :
( ~ ( sK2_SY28 @ SY146 @ SY152 )
| ( sK6_SY77 @ SY147 @ SY146 @ SY152 ) )
& ! [SY153: a,SY154: a] :
( ~ ( sK6_SY77 @ SY147 @ SY146 @ SY153 )
| ~ ( sK2_SY28 @ SY153 @ SY154 )
| ( sK6_SY77 @ SY147 @ SY146 @ SY154 ) )
& ~ ( sK6_SY77 @ SY147 @ SY146 @ SY147 ) )
| ( sK5_SY110 @ SY147 ) )
& ~ ( sK5_SY110 @ sK4_SY81 ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(15,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK1_R @ sK3_SY55 @ SX1 )
| ( sK9_SY88 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK9_SY88 @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 )
| ( sK9_SY88 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK9_SY88 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) )
| ~ ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SX1 )
| ( sK8_SY92 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK8_SY92 @ SX0 @ SX1 )
| ~ ( sK2_SY28 @ SX1 @ SX2 )
| ( sK8_SY92 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK8_SY92 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK1_R @ SX0 @ SX2 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK7_SY47 @ SX1 @ SX0 @ SX2 )
| ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK7_SY47 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK2_SY28 @ SX0 @ SX2 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK6_SY77 @ SX1 @ SX0 @ SX2 )
| ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK6_SY77 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) ) ) )
| ~ ~ ( sK5_SY110 @ sK4_SY81 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(16,plain,
( ( ! [SX0: a > $o] :
( ~ ( ~ ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SX0 ) )
| ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK12_SY83 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( SX0 @ ( sK10_SY59 @ SX0 ) )
| ~ ( ( sK1_R @ ( sK10_SY59 @ SX0 ) @ ( sK11_SY164 @ SX0 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SX0 ) @ ( sK11_SY164 @ SX0 ) ) ) )
| ~ ~ ( SX0 @ ( sK11_SY164 @ SX0 ) ) )
| ( SX0 @ sK4_SY81 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(17,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK1_R @ sK3_SY55 @ SX1 )
| ( sK9_SY88 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK9_SY88 @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 )
| ( sK9_SY88 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK9_SY88 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) )
| ~ ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SX1 )
| ( sK8_SY92 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK8_SY92 @ SX0 @ SX1 )
| ~ ( sK2_SY28 @ SX1 @ SX2 )
| ( sK8_SY92 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK8_SY92 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK1_R @ SX0 @ SX2 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK7_SY47 @ SX1 @ SX0 @ SX2 )
| ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK7_SY47 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK2_SY28 @ SX0 @ SX2 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK6_SY77 @ SX1 @ SX0 @ SX2 )
| ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK6_SY77 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) ) ) )
| ~ ~ ( sK5_SY110 @ sK4_SY81 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
! [SV1: a > $o] :
( ( ~ ( ~ ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
| ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK12_SY83 @ SV1 ) ) )
| ~ ( ~ ~ ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) )
| ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) )
| ~ ~ ( SV1 @ ( sK11_SY164 @ SV1 ) ) )
| ( SV1 @ sK4_SY81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK1_R @ sK3_SY55 @ SX1 )
| ( sK9_SY88 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK9_SY88 @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 )
| ( sK9_SY88 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK9_SY88 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) )
| ~ ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SX1 )
| ( sK8_SY92 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK8_SY92 @ SX0 @ SX1 )
| ~ ( sK2_SY28 @ SX1 @ SX2 )
| ( sK8_SY92 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK8_SY92 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK1_R @ SX0 @ SX2 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK7_SY47 @ SX1 @ SX0 @ SX2 )
| ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK7_SY47 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK2_SY28 @ SX0 @ SX2 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK6_SY77 @ SX1 @ SX0 @ SX2 )
| ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK6_SY77 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ~ ( sK5_SY110 @ sK4_SY81 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: a > $o] :
( ( ( ~ ( ~ ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
| ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK12_SY83 @ SV1 ) ) )
| ~ ( ~ ~ ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) )
| ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) )
| ~ ~ ( SV1 @ ( sK11_SY164 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK1_R @ sK3_SY55 @ SX1 )
| ( sK9_SY88 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK9_SY88 @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 )
| ( sK9_SY88 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK9_SY88 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) )
| ~ ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SX1 )
| ( sK8_SY92 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK8_SY92 @ SX0 @ SX1 )
| ~ ( sK2_SY28 @ SX1 @ SX2 )
| ( sK8_SY92 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK8_SY92 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK1_R @ SX0 @ SX2 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK7_SY47 @ SX1 @ SX0 @ SX2 )
| ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK7_SY47 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK2_SY28 @ SX0 @ SX2 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK6_SY77 @ SX1 @ SX0 @ SX2 )
| ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK6_SY77 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ( sK5_SY110 @ sK4_SY81 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(24,plain,
! [SV1: a > $o] :
( ( ( ~ ( ~ ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
| ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK12_SY83 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) )
| ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) )
| ~ ~ ( SV1 @ ( sK11_SY164 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK1_R @ sK3_SY55 @ SX1 )
| ( sK9_SY88 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK9_SY88 @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 )
| ( sK9_SY88 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK9_SY88 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) )
| ~ ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SX1 )
| ( sK8_SY92 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK8_SY92 @ SX0 @ SX1 )
| ~ ( sK2_SY28 @ SX1 @ SX2 )
| ( sK8_SY92 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK8_SY92 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK1_R @ SX0 @ SX2 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK7_SY47 @ SX1 @ SX0 @ SX2 )
| ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK7_SY47 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK2_SY28 @ SX0 @ SX2 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK6_SY77 @ SX1 @ SX0 @ SX2 )
| ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK6_SY77 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( sK5_SY110 @ sK4_SY81 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV1: a > $o] :
( ( ( ~ ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
| ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK12_SY83 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) )
| ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) )
| ~ ~ ( SV1 @ ( sK11_SY164 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK1_R @ sK3_SY55 @ SX1 )
| ( sK9_SY88 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK9_SY88 @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 )
| ( sK9_SY88 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK9_SY88 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) )
| ~ ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SX1 )
| ( sK8_SY92 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK8_SY92 @ SX0 @ SX1 )
| ~ ( sK2_SY28 @ SX1 @ SX2 )
| ( sK8_SY92 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK8_SY92 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK1_R @ SX0 @ SX2 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK7_SY47 @ SX1 @ SX0 @ SX2 )
| ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK7_SY47 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK2_SY28 @ SX0 @ SX2 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK6_SY77 @ SX1 @ SX0 @ SX2 )
| ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK6_SY77 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(30,plain,
! [SV1: a > $o] :
( ( ( ~ ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
| ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) )
| ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) )
| ~ ~ ( SV1 @ ( sK11_SY164 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(31,plain,
! [SV1: a > $o] :
( ( ( ~ ~ ( SV1 @ ( sK12_SY83 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) )
| ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) )
| ~ ~ ( SV1 @ ( sK11_SY164 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(32,plain,
( ( ~ ( ~ ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK1_R @ sK3_SY55 @ SX1 )
| ( sK9_SY88 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK9_SY88 @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 )
| ( sK9_SY88 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK9_SY88 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) )
| ~ ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SX1 )
| ( sK8_SY92 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK8_SY92 @ SX0 @ SX1 )
| ~ ( sK2_SY28 @ SX1 @ SX2 )
| ( sK8_SY92 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK8_SY92 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(33,plain,
( ( ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK1_R @ SX0 @ SX2 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK7_SY47 @ SX1 @ SX0 @ SX2 )
| ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK7_SY47 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK2_SY28 @ SX0 @ SX2 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK6_SY77 @ SX1 @ SX0 @ SX2 )
| ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK6_SY77 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(34,plain,
! [SV1: a > $o] :
( ( ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
| ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) )
| ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) )
| ~ ~ ( SV1 @ ( sK11_SY164 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(35,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK12_SY83 @ SV1 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) )
| ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) )
| ~ ~ ( SV1 @ ( sK11_SY164 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(36,plain,
( ( ~ ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK1_R @ sK3_SY55 @ SX1 )
| ( sK9_SY88 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK9_SY88 @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 )
| ( sK9_SY88 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK9_SY88 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) )
| ~ ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SX1 )
| ( sK8_SY92 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK8_SY92 @ SX0 @ SX1 )
| ~ ( sK2_SY28 @ SX1 @ SX2 )
| ( sK8_SY92 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK8_SY92 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(37,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK1_R @ SX0 @ SX2 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK7_SY47 @ SX1 @ SX0 @ SX2 )
| ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK7_SY47 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK2_SY28 @ SX0 @ SX2 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK6_SY77 @ SX1 @ SX0 @ SX2 )
| ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK6_SY77 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(38,plain,
! [SV1: a > $o] :
( ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) )
| ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) )
| ~ ~ ( SV1 @ ( sK11_SY164 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV1: a > $o] :
( ( ( SV1 @ ( sK12_SY83 @ SV1 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) )
| ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) )
| ~ ~ ( SV1 @ ( sK11_SY164 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(40,plain,
( ( ~ ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK1_R @ sK3_SY55 @ SX1 )
| ( sK9_SY88 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK9_SY88 @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 )
| ( sK9_SY88 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK9_SY88 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(41,plain,
( ( ~ ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SX1 )
| ( sK8_SY92 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK8_SY92 @ SX0 @ SX1 )
| ~ ( sK2_SY28 @ SX1 @ SX2 )
| ( sK8_SY92 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK8_SY92 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(42,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK1_R @ SX0 @ SX2 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK7_SY47 @ SX1 @ SX0 @ SX2 )
| ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK7_SY47 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(43,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK2_SY28 @ SX0 @ SX2 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK6_SY77 @ SX1 @ SX0 @ SX2 )
| ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK6_SY77 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(44,plain,
! [SV1: a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) )
| ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) )
| ~ ~ ( SV1 @ ( sK11_SY164 @ SV1 ) ) )
= $false )
| ( ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(45,plain,
! [SV1: a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) )
| ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) )
| ~ ~ ( SV1 @ ( sK11_SY164 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK12_SY83 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(46,plain,
( ( ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK1_R @ sK3_SY55 @ SX1 )
| ( sK9_SY88 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK9_SY88 @ SX0 @ SX1 )
| ~ ( sK1_R @ SX1 @ SX2 )
| ( sK9_SY88 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK9_SY88 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(47,plain,
( ( ! [SX0: a] :
( ~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SX1 )
| ( sK8_SY92 @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( sK8_SY92 @ SX0 @ SX1 )
| ~ ( sK2_SY28 @ SX1 @ SX2 )
| ( sK8_SY92 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK8_SY92 @ SX0 @ SX0 ) )
| ( sK5_SY110 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(48,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK1_R @ SX0 @ SX2 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK7_SY47 @ SX1 @ SX0 @ SX2 )
| ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY47 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK7_SY47 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(49,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( sK2_SY28 @ SX0 @ SX2 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX2 ) )
| ~ ! [SX2: a,SX3: a] :
( ~ ( sK6_SY77 @ SX1 @ SX0 @ SX2 )
| ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY77 @ SX1 @ SX0 @ SX3 ) ) )
| ~ ~ ( sK6_SY77 @ SX1 @ SX0 @ SX1 ) )
| ( sK5_SY110 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(50,plain,
! [SV1: a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) )
| ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) ) )
= $false )
| ( ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(51,plain,
! [SV1: a > $o] :
( ( ( ~ ~ ( SV1 @ ( sK11_SY164 @ SV1 ) ) )
= $false )
| ( ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(52,plain,
! [SV1: a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) )
| ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ ( sK12_SY83 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(53,plain,
! [SV1: a > $o] :
( ( ( ~ ~ ( SV1 @ ( sK11_SY164 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK12_SY83 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(54,plain,
! [SV2: a] :
( ( ~ ( ~ ~ ( ~ ! [SY165: a] :
( ~ ( sK1_R @ sK3_SY55 @ SY165 )
| ( sK9_SY88 @ SV2 @ SY165 ) )
| ~ ! [SY166: a,SY167: a] :
( ~ ( sK9_SY88 @ SV2 @ SY166 )
| ~ ( sK1_R @ SY166 @ SY167 )
| ( sK9_SY88 @ SV2 @ SY167 ) ) )
| ~ ~ ( sK9_SY88 @ SV2 @ SV2 ) )
| ( sK5_SY110 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(55,plain,
! [SV3: a] :
( ( ~ ( ~ ~ ( ~ ! [SY168: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SY168 )
| ( sK8_SY92 @ SV3 @ SY168 ) )
| ~ ! [SY169: a,SY170: a] :
( ~ ( sK8_SY92 @ SV3 @ SY169 )
| ~ ( sK2_SY28 @ SY169 @ SY170 )
| ( sK8_SY92 @ SV3 @ SY170 ) ) )
| ~ ~ ( sK8_SY92 @ SV3 @ SV3 ) )
| ( sK5_SY110 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(56,plain,
! [SV4: a] :
( ( ! [SY171: a] :
( ~ ( sK5_SY110 @ SV4 )
| ~ ( ~ ~ ( ~ ! [SY172: a] :
( ~ ( sK1_R @ SV4 @ SY172 )
| ( sK7_SY47 @ SY171 @ SV4 @ SY172 ) )
| ~ ! [SY173: a,SY174: a] :
( ~ ( sK7_SY47 @ SY171 @ SV4 @ SY173 )
| ~ ( sK1_R @ SY173 @ SY174 )
| ( sK7_SY47 @ SY171 @ SV4 @ SY174 ) ) )
| ~ ~ ( sK7_SY47 @ SY171 @ SV4 @ SY171 ) )
| ( sK5_SY110 @ SY171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(57,plain,
! [SV5: a] :
( ( ! [SY175: a] :
( ~ ( sK5_SY110 @ SV5 )
| ~ ( ~ ~ ( ~ ! [SY176: a] :
( ~ ( sK2_SY28 @ SV5 @ SY176 )
| ( sK6_SY77 @ SY175 @ SV5 @ SY176 ) )
| ~ ! [SY177: a,SY178: a] :
( ~ ( sK6_SY77 @ SY175 @ SV5 @ SY177 )
| ~ ( sK2_SY28 @ SY177 @ SY178 )
| ( sK6_SY77 @ SY175 @ SV5 @ SY178 ) ) )
| ~ ~ ( sK6_SY77 @ SY175 @ SV5 @ SY175 ) )
| ( sK5_SY110 @ SY175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(58,plain,
! [SV1: a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) )
| ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) ) )
= $true )
| ( ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(59,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK11_SY164 @ SV1 ) ) )
= $true )
| ( ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(60,plain,
! [SV1: a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) )
| ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) ) )
= $true )
| ( ( SV1 @ ( sK12_SY83 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(61,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK11_SY164 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK12_SY83 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(62,plain,
! [SV2: a] :
( ( ( ~ ( ~ ~ ( ~ ! [SY165: a] :
( ~ ( sK1_R @ sK3_SY55 @ SY165 )
| ( sK9_SY88 @ SV2 @ SY165 ) )
| ~ ! [SY166: a,SY167: a] :
( ~ ( sK9_SY88 @ SV2 @ SY166 )
| ~ ( sK1_R @ SY166 @ SY167 )
| ( sK9_SY88 @ SV2 @ SY167 ) ) )
| ~ ~ ( sK9_SY88 @ SV2 @ SV2 ) ) )
= $true )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(63,plain,
! [SV3: a] :
( ( ( ~ ( ~ ~ ( ~ ! [SY168: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SY168 )
| ( sK8_SY92 @ SV3 @ SY168 ) )
| ~ ! [SY169: a,SY170: a] :
( ~ ( sK8_SY92 @ SV3 @ SY169 )
| ~ ( sK2_SY28 @ SY169 @ SY170 )
| ( sK8_SY92 @ SV3 @ SY170 ) ) )
| ~ ~ ( sK8_SY92 @ SV3 @ SV3 ) ) )
= $true )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(64,plain,
! [SV6: a,SV4: a] :
( ( ~ ( sK5_SY110 @ SV4 )
| ~ ( ~ ~ ( ~ ! [SY179: a] :
( ~ ( sK1_R @ SV4 @ SY179 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY179 ) )
| ~ ! [SY180: a,SY181: a] :
( ~ ( sK7_SY47 @ SV6 @ SV4 @ SY180 )
| ~ ( sK1_R @ SY180 @ SY181 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY181 ) ) )
| ~ ~ ( sK7_SY47 @ SV6 @ SV4 @ SV6 ) )
| ( sK5_SY110 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(65,plain,
! [SV7: a,SV5: a] :
( ( ~ ( sK5_SY110 @ SV5 )
| ~ ( ~ ~ ( ~ ! [SY182: a] :
( ~ ( sK2_SY28 @ SV5 @ SY182 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY182 ) )
| ~ ! [SY183: a,SY184: a] :
( ~ ( sK6_SY77 @ SV7 @ SV5 @ SY183 )
| ~ ( sK2_SY28 @ SY183 @ SY184 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY184 ) ) )
| ~ ~ ( sK6_SY77 @ SV7 @ SV5 @ SV7 ) )
| ( sK5_SY110 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(66,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) )
| ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) )
= $false )
| ( ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(67,plain,
! [SV1: a > $o] :
( ( ( SV1 @ ( sK11_SY164 @ SV1 ) )
= $false )
| ( ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(68,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) )
| ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK12_SY83 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(69,plain,
! [SV1: a > $o] :
( ( ( SV1 @ ( sK11_SY164 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK12_SY83 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(70,plain,
! [SV2: a] :
( ( ( ~ ~ ( ~ ! [SY165: a] :
( ~ ( sK1_R @ sK3_SY55 @ SY165 )
| ( sK9_SY88 @ SV2 @ SY165 ) )
| ~ ! [SY166: a,SY167: a] :
( ~ ( sK9_SY88 @ SV2 @ SY166 )
| ~ ( sK1_R @ SY166 @ SY167 )
| ( sK9_SY88 @ SV2 @ SY167 ) ) )
| ~ ~ ( sK9_SY88 @ SV2 @ SV2 ) )
= $false )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(71,plain,
! [SV3: a] :
( ( ( ~ ~ ( ~ ! [SY168: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SY168 )
| ( sK8_SY92 @ SV3 @ SY168 ) )
| ~ ! [SY169: a,SY170: a] :
( ~ ( sK8_SY92 @ SV3 @ SY169 )
| ~ ( sK2_SY28 @ SY169 @ SY170 )
| ( sK8_SY92 @ SV3 @ SY170 ) ) )
| ~ ~ ( sK8_SY92 @ SV3 @ SV3 ) )
= $false )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(72,plain,
! [SV6: a,SV4: a] :
( ( ( ~ ( sK5_SY110 @ SV4 )
| ~ ( ~ ~ ( ~ ! [SY179: a] :
( ~ ( sK1_R @ SV4 @ SY179 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY179 ) )
| ~ ! [SY180: a,SY181: a] :
( ~ ( sK7_SY47 @ SV6 @ SV4 @ SY180 )
| ~ ( sK1_R @ SY180 @ SY181 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY181 ) ) )
| ~ ~ ( sK7_SY47 @ SV6 @ SV4 @ SV6 ) ) )
= $true )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(73,plain,
! [SV7: a,SV5: a] :
( ( ( ~ ( sK5_SY110 @ SV5 )
| ~ ( ~ ~ ( ~ ! [SY182: a] :
( ~ ( sK2_SY28 @ SV5 @ SY182 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY182 ) )
| ~ ! [SY183: a,SY184: a] :
( ~ ( sK6_SY77 @ SV7 @ SV5 @ SY183 )
| ~ ( sK2_SY28 @ SY183 @ SY184 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY184 ) ) )
| ~ ~ ( sK6_SY77 @ SV7 @ SV5 @ SV7 ) ) )
= $true )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(74,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) ) )
= $false )
| ( ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(75,plain,
! [SV1: a > $o] :
( ( ( ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) )
= $false )
| ( ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(76,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK10_SY59 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK12_SY83 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(77,plain,
! [SV1: a > $o] :
( ( ( ~ ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK12_SY83 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(78,plain,
! [SV2: a] :
( ( ( ~ ~ ( ~ ! [SY165: a] :
( ~ ( sK1_R @ sK3_SY55 @ SY165 )
| ( sK9_SY88 @ SV2 @ SY165 ) )
| ~ ! [SY166: a,SY167: a] :
( ~ ( sK9_SY88 @ SV2 @ SY166 )
| ~ ( sK1_R @ SY166 @ SY167 )
| ( sK9_SY88 @ SV2 @ SY167 ) ) ) )
= $false )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(79,plain,
! [SV2: a] :
( ( ( ~ ~ ( sK9_SY88 @ SV2 @ SV2 ) )
= $false )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(80,plain,
! [SV3: a] :
( ( ( ~ ~ ( ~ ! [SY168: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SY168 )
| ( sK8_SY92 @ SV3 @ SY168 ) )
| ~ ! [SY169: a,SY170: a] :
( ~ ( sK8_SY92 @ SV3 @ SY169 )
| ~ ( sK2_SY28 @ SY169 @ SY170 )
| ( sK8_SY92 @ SV3 @ SY170 ) ) ) )
= $false )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(81,plain,
! [SV3: a] :
( ( ( ~ ~ ( sK8_SY92 @ SV3 @ SV3 ) )
= $false )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(82,plain,
! [SV6: a,SV4: a] :
( ( ( ~ ( sK5_SY110 @ SV4 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY179: a] :
( ~ ( sK1_R @ SV4 @ SY179 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY179 ) )
| ~ ! [SY180: a,SY181: a] :
( ~ ( sK7_SY47 @ SV6 @ SV4 @ SY180 )
| ~ ( sK1_R @ SY180 @ SY181 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY181 ) ) )
| ~ ~ ( sK7_SY47 @ SV6 @ SV4 @ SV6 ) ) )
= $true )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(83,plain,
! [SV7: a,SV5: a] :
( ( ( ~ ( sK5_SY110 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY182: a] :
( ~ ( sK2_SY28 @ SV5 @ SY182 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY182 ) )
| ~ ! [SY183: a,SY184: a] :
( ~ ( sK6_SY77 @ SV7 @ SV5 @ SY183 )
| ~ ( sK2_SY28 @ SY183 @ SY184 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY184 ) ) )
| ~ ~ ( sK6_SY77 @ SV7 @ SV5 @ SV7 ) ) )
= $true )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(84,plain,
! [SV1: a > $o] :
( ( ( SV1 @ ( sK10_SY59 @ SV1 ) )
= $true )
| ( ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(85,plain,
! [SV1: a > $o] :
( ( ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) )
= $true )
| ( ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(86,plain,
! [SV1: a > $o] :
( ( ( SV1 @ ( sK10_SY59 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK12_SY83 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(87,plain,
! [SV1: a > $o] :
( ( ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
| ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK12_SY83 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(88,plain,
! [SV2: a] :
( ( ( ~ ( ~ ! [SY165: a] :
( ~ ( sK1_R @ sK3_SY55 @ SY165 )
| ( sK9_SY88 @ SV2 @ SY165 ) )
| ~ ! [SY166: a,SY167: a] :
( ~ ( sK9_SY88 @ SV2 @ SY166 )
| ~ ( sK1_R @ SY166 @ SY167 )
| ( sK9_SY88 @ SV2 @ SY167 ) ) ) )
= $true )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(89,plain,
! [SV2: a] :
( ( ( ~ ( sK9_SY88 @ SV2 @ SV2 ) )
= $true )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(90,plain,
! [SV3: a] :
( ( ( ~ ( ~ ! [SY168: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SY168 )
| ( sK8_SY92 @ SV3 @ SY168 ) )
| ~ ! [SY169: a,SY170: a] :
( ~ ( sK8_SY92 @ SV3 @ SY169 )
| ~ ( sK2_SY28 @ SY169 @ SY170 )
| ( sK8_SY92 @ SV3 @ SY170 ) ) ) )
= $true )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(91,plain,
! [SV3: a] :
( ( ( ~ ( sK8_SY92 @ SV3 @ SV3 ) )
= $true )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(92,plain,
! [SV6: a,SV4: a] :
( ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY179: a] :
( ~ ( sK1_R @ SV4 @ SY179 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY179 ) )
| ~ ! [SY180: a,SY181: a] :
( ~ ( sK7_SY47 @ SV6 @ SV4 @ SY180 )
| ~ ( sK1_R @ SY180 @ SY181 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY181 ) ) )
| ~ ~ ( sK7_SY47 @ SV6 @ SV4 @ SV6 ) ) )
= $true )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(93,plain,
! [SV7: a,SV5: a] :
( ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY182: a] :
( ~ ( sK2_SY28 @ SV5 @ SY182 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY182 ) )
| ~ ! [SY183: a,SY184: a] :
( ~ ( sK6_SY77 @ SV7 @ SV5 @ SY183 )
| ~ ( sK2_SY28 @ SY183 @ SY184 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY184 ) ) )
| ~ ~ ( sK6_SY77 @ SV7 @ SV5 @ SV7 ) ) )
= $true )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(94,plain,
! [SV1: a > $o] :
( ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
= $true )
| ( ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
= $true )
| ( ( sK2_SY28 @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( sK1_R @ sK3_SY55 @ ( sK12_SY83 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(95,plain,
! [SV1: a > $o] :
( ( ( sK1_R @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
= $true )
| ( ( sK2_SY28 @ ( sK10_SY59 @ SV1 ) @ ( sK11_SY164 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK12_SY83 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(96,plain,
! [SV2: a] :
( ( ( ~ ! [SY165: a] :
( ~ ( sK1_R @ sK3_SY55 @ SY165 )
| ( sK9_SY88 @ SV2 @ SY165 ) )
| ~ ! [SY166: a,SY167: a] :
( ~ ( sK9_SY88 @ SV2 @ SY166 )
| ~ ( sK1_R @ SY166 @ SY167 )
| ( sK9_SY88 @ SV2 @ SY167 ) ) )
= $false )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(97,plain,
! [SV2: a] :
( ( ( sK9_SY88 @ SV2 @ SV2 )
= $false )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(98,plain,
! [SV3: a] :
( ( ( ~ ! [SY168: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SY168 )
| ( sK8_SY92 @ SV3 @ SY168 ) )
| ~ ! [SY169: a,SY170: a] :
( ~ ( sK8_SY92 @ SV3 @ SY169 )
| ~ ( sK2_SY28 @ SY169 @ SY170 )
| ( sK8_SY92 @ SV3 @ SY170 ) ) )
= $false )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(99,plain,
! [SV3: a] :
( ( ( sK8_SY92 @ SV3 @ SV3 )
= $false )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(100,plain,
! [SV6: a,SV4: a] :
( ( ( ~ ~ ( ~ ! [SY179: a] :
( ~ ( sK1_R @ SV4 @ SY179 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY179 ) )
| ~ ! [SY180: a,SY181: a] :
( ~ ( sK7_SY47 @ SV6 @ SV4 @ SY180 )
| ~ ( sK1_R @ SY180 @ SY181 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY181 ) ) )
| ~ ~ ( sK7_SY47 @ SV6 @ SV4 @ SV6 ) )
= $false )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(101,plain,
! [SV7: a,SV5: a] :
( ( ( ~ ~ ( ~ ! [SY182: a] :
( ~ ( sK2_SY28 @ SV5 @ SY182 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY182 ) )
| ~ ! [SY183: a,SY184: a] :
( ~ ( sK6_SY77 @ SV7 @ SV5 @ SY183 )
| ~ ( sK2_SY28 @ SY183 @ SY184 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY184 ) ) )
| ~ ~ ( sK6_SY77 @ SV7 @ SV5 @ SV7 ) )
= $false )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(102,plain,
! [SV2: a] :
( ( ( ~ ! [SY165: a] :
( ~ ( sK1_R @ sK3_SY55 @ SY165 )
| ( sK9_SY88 @ SV2 @ SY165 ) ) )
= $false )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(103,plain,
! [SV2: a] :
( ( ( ~ ! [SY166: a,SY167: a] :
( ~ ( sK9_SY88 @ SV2 @ SY166 )
| ~ ( sK1_R @ SY166 @ SY167 )
| ( sK9_SY88 @ SV2 @ SY167 ) ) )
= $false )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(104,plain,
! [SV3: a] :
( ( ( ~ ! [SY168: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SY168 )
| ( sK8_SY92 @ SV3 @ SY168 ) ) )
= $false )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(105,plain,
! [SV3: a] :
( ( ( ~ ! [SY169: a,SY170: a] :
( ~ ( sK8_SY92 @ SV3 @ SY169 )
| ~ ( sK2_SY28 @ SY169 @ SY170 )
| ( sK8_SY92 @ SV3 @ SY170 ) ) )
= $false )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(106,plain,
! [SV6: a,SV4: a] :
( ( ( ~ ~ ( ~ ! [SY179: a] :
( ~ ( sK1_R @ SV4 @ SY179 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY179 ) )
| ~ ! [SY180: a,SY181: a] :
( ~ ( sK7_SY47 @ SV6 @ SV4 @ SY180 )
| ~ ( sK1_R @ SY180 @ SY181 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY181 ) ) ) )
= $false )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(107,plain,
! [SV4: a,SV6: a] :
( ( ( ~ ~ ( sK7_SY47 @ SV6 @ SV4 @ SV6 ) )
= $false )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(108,plain,
! [SV7: a,SV5: a] :
( ( ( ~ ~ ( ~ ! [SY182: a] :
( ~ ( sK2_SY28 @ SV5 @ SY182 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY182 ) )
| ~ ! [SY183: a,SY184: a] :
( ~ ( sK6_SY77 @ SV7 @ SV5 @ SY183 )
| ~ ( sK2_SY28 @ SY183 @ SY184 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY184 ) ) ) )
= $false )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(109,plain,
! [SV5: a,SV7: a] :
( ( ( ~ ~ ( sK6_SY77 @ SV7 @ SV5 @ SV7 ) )
= $false )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(110,plain,
! [SV2: a] :
( ( ( ! [SY165: a] :
( ~ ( sK1_R @ sK3_SY55 @ SY165 )
| ( sK9_SY88 @ SV2 @ SY165 ) ) )
= $true )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(111,plain,
! [SV2: a] :
( ( ( ! [SY166: a,SY167: a] :
( ~ ( sK9_SY88 @ SV2 @ SY166 )
| ~ ( sK1_R @ SY166 @ SY167 )
| ( sK9_SY88 @ SV2 @ SY167 ) ) )
= $true )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(112,plain,
! [SV3: a] :
( ( ( ! [SY168: a] :
( ~ ( sK2_SY28 @ sK3_SY55 @ SY168 )
| ( sK8_SY92 @ SV3 @ SY168 ) ) )
= $true )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(113,plain,
! [SV3: a] :
( ( ( ! [SY169: a,SY170: a] :
( ~ ( sK8_SY92 @ SV3 @ SY169 )
| ~ ( sK2_SY28 @ SY169 @ SY170 )
| ( sK8_SY92 @ SV3 @ SY170 ) ) )
= $true )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(114,plain,
! [SV6: a,SV4: a] :
( ( ( ~ ( ~ ! [SY179: a] :
( ~ ( sK1_R @ SV4 @ SY179 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY179 ) )
| ~ ! [SY180: a,SY181: a] :
( ~ ( sK7_SY47 @ SV6 @ SV4 @ SY180 )
| ~ ( sK1_R @ SY180 @ SY181 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY181 ) ) ) )
= $true )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(115,plain,
! [SV4: a,SV6: a] :
( ( ( ~ ( sK7_SY47 @ SV6 @ SV4 @ SV6 ) )
= $true )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(116,plain,
! [SV7: a,SV5: a] :
( ( ( ~ ( ~ ! [SY182: a] :
( ~ ( sK2_SY28 @ SV5 @ SY182 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY182 ) )
| ~ ! [SY183: a,SY184: a] :
( ~ ( sK6_SY77 @ SV7 @ SV5 @ SY183 )
| ~ ( sK2_SY28 @ SY183 @ SY184 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY184 ) ) ) )
= $true )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(117,plain,
! [SV5: a,SV7: a] :
( ( ( ~ ( sK6_SY77 @ SV7 @ SV5 @ SV7 ) )
= $true )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(118,plain,
! [SV2: a,SV8: a] :
( ( ( ~ ( sK1_R @ sK3_SY55 @ SV8 )
| ( sK9_SY88 @ SV2 @ SV8 ) )
= $true )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(119,plain,
! [SV9: a,SV2: a] :
( ( ( ! [SY185: a] :
( ~ ( sK9_SY88 @ SV2 @ SV9 )
| ~ ( sK1_R @ SV9 @ SY185 )
| ( sK9_SY88 @ SV2 @ SY185 ) ) )
= $true )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(120,plain,
! [SV3: a,SV10: a] :
( ( ( ~ ( sK2_SY28 @ sK3_SY55 @ SV10 )
| ( sK8_SY92 @ SV3 @ SV10 ) )
= $true )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(121,plain,
! [SV11: a,SV3: a] :
( ( ( ! [SY186: a] :
( ~ ( sK8_SY92 @ SV3 @ SV11 )
| ~ ( sK2_SY28 @ SV11 @ SY186 )
| ( sK8_SY92 @ SV3 @ SY186 ) ) )
= $true )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(122,plain,
! [SV6: a,SV4: a] :
( ( ( ~ ! [SY179: a] :
( ~ ( sK1_R @ SV4 @ SY179 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY179 ) )
| ~ ! [SY180: a,SY181: a] :
( ~ ( sK7_SY47 @ SV6 @ SV4 @ SY180 )
| ~ ( sK1_R @ SY180 @ SY181 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY181 ) ) )
= $false )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(123,plain,
! [SV4: a,SV6: a] :
( ( ( sK7_SY47 @ SV6 @ SV4 @ SV6 )
= $false )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(124,plain,
! [SV7: a,SV5: a] :
( ( ( ~ ! [SY182: a] :
( ~ ( sK2_SY28 @ SV5 @ SY182 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY182 ) )
| ~ ! [SY183: a,SY184: a] :
( ~ ( sK6_SY77 @ SV7 @ SV5 @ SY183 )
| ~ ( sK2_SY28 @ SY183 @ SY184 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY184 ) ) )
= $false )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(125,plain,
! [SV5: a,SV7: a] :
( ( ( sK6_SY77 @ SV7 @ SV5 @ SV7 )
= $false )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(126,plain,
! [SV2: a,SV8: a] :
( ( ( ~ ( sK1_R @ sK3_SY55 @ SV8 ) )
= $true )
| ( ( sK9_SY88 @ SV2 @ SV8 )
= $true )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(127,plain,
! [SV12: a,SV9: a,SV2: a] :
( ( ( ~ ( sK9_SY88 @ SV2 @ SV9 )
| ~ ( sK1_R @ SV9 @ SV12 )
| ( sK9_SY88 @ SV2 @ SV12 ) )
= $true )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(128,plain,
! [SV3: a,SV10: a] :
( ( ( ~ ( sK2_SY28 @ sK3_SY55 @ SV10 ) )
= $true )
| ( ( sK8_SY92 @ SV3 @ SV10 )
= $true )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(129,plain,
! [SV13: a,SV11: a,SV3: a] :
( ( ( ~ ( sK8_SY92 @ SV3 @ SV11 )
| ~ ( sK2_SY28 @ SV11 @ SV13 )
| ( sK8_SY92 @ SV3 @ SV13 ) )
= $true )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(130,plain,
! [SV6: a,SV4: a] :
( ( ( ~ ! [SY179: a] :
( ~ ( sK1_R @ SV4 @ SY179 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY179 ) ) )
= $false )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(131,plain,
! [SV4: a,SV6: a] :
( ( ( ~ ! [SY180: a,SY181: a] :
( ~ ( sK7_SY47 @ SV6 @ SV4 @ SY180 )
| ~ ( sK1_R @ SY180 @ SY181 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY181 ) ) )
= $false )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(132,plain,
! [SV7: a,SV5: a] :
( ( ( ~ ! [SY182: a] :
( ~ ( sK2_SY28 @ SV5 @ SY182 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY182 ) ) )
= $false )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(133,plain,
! [SV5: a,SV7: a] :
( ( ( ~ ! [SY183: a,SY184: a] :
( ~ ( sK6_SY77 @ SV7 @ SV5 @ SY183 )
| ~ ( sK2_SY28 @ SY183 @ SY184 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY184 ) ) )
= $false )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(134,plain,
! [SV2: a,SV8: a] :
( ( ( sK1_R @ sK3_SY55 @ SV8 )
= $false )
| ( ( sK9_SY88 @ SV2 @ SV8 )
= $true )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(135,plain,
! [SV12: a,SV9: a,SV2: a] :
( ( ( ~ ( sK9_SY88 @ SV2 @ SV9 )
| ~ ( sK1_R @ SV9 @ SV12 ) )
= $true )
| ( ( sK9_SY88 @ SV2 @ SV12 )
= $true )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(136,plain,
! [SV3: a,SV10: a] :
( ( ( sK2_SY28 @ sK3_SY55 @ SV10 )
= $false )
| ( ( sK8_SY92 @ SV3 @ SV10 )
= $true )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(137,plain,
! [SV13: a,SV11: a,SV3: a] :
( ( ( ~ ( sK8_SY92 @ SV3 @ SV11 )
| ~ ( sK2_SY28 @ SV11 @ SV13 ) )
= $true )
| ( ( sK8_SY92 @ SV3 @ SV13 )
= $true )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(138,plain,
! [SV6: a,SV4: a] :
( ( ( ! [SY179: a] :
( ~ ( sK1_R @ SV4 @ SY179 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY179 ) ) )
= $true )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(139,plain,
! [SV4: a,SV6: a] :
( ( ( ! [SY180: a,SY181: a] :
( ~ ( sK7_SY47 @ SV6 @ SV4 @ SY180 )
| ~ ( sK1_R @ SY180 @ SY181 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY181 ) ) )
= $true )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(140,plain,
! [SV7: a,SV5: a] :
( ( ( ! [SY182: a] :
( ~ ( sK2_SY28 @ SV5 @ SY182 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY182 ) ) )
= $true )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(141,plain,
! [SV5: a,SV7: a] :
( ( ( ! [SY183: a,SY184: a] :
( ~ ( sK6_SY77 @ SV7 @ SV5 @ SY183 )
| ~ ( sK2_SY28 @ SY183 @ SY184 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY184 ) ) )
= $true )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(142,plain,
! [SV12: a,SV9: a,SV2: a] :
( ( ( ~ ( sK9_SY88 @ SV2 @ SV9 ) )
= $true )
| ( ( ~ ( sK1_R @ SV9 @ SV12 ) )
= $true )
| ( ( sK9_SY88 @ SV2 @ SV12 )
= $true )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(143,plain,
! [SV13: a,SV11: a,SV3: a] :
( ( ( ~ ( sK8_SY92 @ SV3 @ SV11 ) )
= $true )
| ( ( ~ ( sK2_SY28 @ SV11 @ SV13 ) )
= $true )
| ( ( sK8_SY92 @ SV3 @ SV13 )
= $true )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(144,plain,
! [SV6: a,SV14: a,SV4: a] :
( ( ( ~ ( sK1_R @ SV4 @ SV14 )
| ( sK7_SY47 @ SV6 @ SV4 @ SV14 ) )
= $true )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(145,plain,
! [SV15: a,SV4: a,SV6: a] :
( ( ( ! [SY187: a] :
( ~ ( sK7_SY47 @ SV6 @ SV4 @ SV15 )
| ~ ( sK1_R @ SV15 @ SY187 )
| ( sK7_SY47 @ SV6 @ SV4 @ SY187 ) ) )
= $true )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(146,plain,
! [SV7: a,SV16: a,SV5: a] :
( ( ( ~ ( sK2_SY28 @ SV5 @ SV16 )
| ( sK6_SY77 @ SV7 @ SV5 @ SV16 ) )
= $true )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(147,plain,
! [SV17: a,SV5: a,SV7: a] :
( ( ( ! [SY188: a] :
( ~ ( sK6_SY77 @ SV7 @ SV5 @ SV17 )
| ~ ( sK2_SY28 @ SV17 @ SY188 )
| ( sK6_SY77 @ SV7 @ SV5 @ SY188 ) ) )
= $true )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(148,plain,
! [SV12: a,SV9: a,SV2: a] :
( ( ( sK9_SY88 @ SV2 @ SV9 )
= $false )
| ( ( ~ ( sK1_R @ SV9 @ SV12 ) )
= $true )
| ( ( sK9_SY88 @ SV2 @ SV12 )
= $true )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(149,plain,
! [SV13: a,SV11: a,SV3: a] :
( ( ( sK8_SY92 @ SV3 @ SV11 )
= $false )
| ( ( ~ ( sK2_SY28 @ SV11 @ SV13 ) )
= $true )
| ( ( sK8_SY92 @ SV3 @ SV13 )
= $true )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(150,plain,
! [SV6: a,SV14: a,SV4: a] :
( ( ( ~ ( sK1_R @ SV4 @ SV14 ) )
= $true )
| ( ( sK7_SY47 @ SV6 @ SV4 @ SV14 )
= $true )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(151,plain,
! [SV18: a,SV15: a,SV4: a,SV6: a] :
( ( ( ~ ( sK7_SY47 @ SV6 @ SV4 @ SV15 )
| ~ ( sK1_R @ SV15 @ SV18 )
| ( sK7_SY47 @ SV6 @ SV4 @ SV18 ) )
= $true )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(152,plain,
! [SV7: a,SV16: a,SV5: a] :
( ( ( ~ ( sK2_SY28 @ SV5 @ SV16 ) )
= $true )
| ( ( sK6_SY77 @ SV7 @ SV5 @ SV16 )
= $true )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(153,plain,
! [SV19: a,SV17: a,SV5: a,SV7: a] :
( ( ( ~ ( sK6_SY77 @ SV7 @ SV5 @ SV17 )
| ~ ( sK2_SY28 @ SV17 @ SV19 )
| ( sK6_SY77 @ SV7 @ SV5 @ SV19 ) )
= $true )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(154,plain,
! [SV2: a,SV12: a,SV9: a] :
( ( ( sK1_R @ SV9 @ SV12 )
= $false )
| ( ( sK9_SY88 @ SV2 @ SV9 )
= $false )
| ( ( sK9_SY88 @ SV2 @ SV12 )
= $true )
| ( ( sK5_SY110 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(155,plain,
! [SV3: a,SV13: a,SV11: a] :
( ( ( sK2_SY28 @ SV11 @ SV13 )
= $false )
| ( ( sK8_SY92 @ SV3 @ SV11 )
= $false )
| ( ( sK8_SY92 @ SV3 @ SV13 )
= $true )
| ( ( sK5_SY110 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(156,plain,
! [SV6: a,SV14: a,SV4: a] :
( ( ( sK1_R @ SV4 @ SV14 )
= $false )
| ( ( sK7_SY47 @ SV6 @ SV4 @ SV14 )
= $true )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(157,plain,
! [SV18: a,SV15: a,SV4: a,SV6: a] :
( ( ( ~ ( sK7_SY47 @ SV6 @ SV4 @ SV15 )
| ~ ( sK1_R @ SV15 @ SV18 ) )
= $true )
| ( ( sK7_SY47 @ SV6 @ SV4 @ SV18 )
= $true )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(158,plain,
! [SV7: a,SV16: a,SV5: a] :
( ( ( sK2_SY28 @ SV5 @ SV16 )
= $false )
| ( ( sK6_SY77 @ SV7 @ SV5 @ SV16 )
= $true )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(159,plain,
! [SV19: a,SV17: a,SV5: a,SV7: a] :
( ( ( ~ ( sK6_SY77 @ SV7 @ SV5 @ SV17 )
| ~ ( sK2_SY28 @ SV17 @ SV19 ) )
= $true )
| ( ( sK6_SY77 @ SV7 @ SV5 @ SV19 )
= $true )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(160,plain,
! [SV18: a,SV15: a,SV4: a,SV6: a] :
( ( ( ~ ( sK7_SY47 @ SV6 @ SV4 @ SV15 ) )
= $true )
| ( ( ~ ( sK1_R @ SV15 @ SV18 ) )
= $true )
| ( ( sK7_SY47 @ SV6 @ SV4 @ SV18 )
= $true )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(161,plain,
! [SV19: a,SV17: a,SV5: a,SV7: a] :
( ( ( ~ ( sK6_SY77 @ SV7 @ SV5 @ SV17 ) )
= $true )
| ( ( ~ ( sK2_SY28 @ SV17 @ SV19 ) )
= $true )
| ( ( sK6_SY77 @ SV7 @ SV5 @ SV19 )
= $true )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(162,plain,
! [SV18: a,SV15: a,SV4: a,SV6: a] :
( ( ( sK7_SY47 @ SV6 @ SV4 @ SV15 )
= $false )
| ( ( ~ ( sK1_R @ SV15 @ SV18 ) )
= $true )
| ( ( sK7_SY47 @ SV6 @ SV4 @ SV18 )
= $true )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(163,plain,
! [SV19: a,SV17: a,SV5: a,SV7: a] :
( ( ( sK6_SY77 @ SV7 @ SV5 @ SV17 )
= $false )
| ( ( ~ ( sK2_SY28 @ SV17 @ SV19 ) )
= $true )
| ( ( sK6_SY77 @ SV7 @ SV5 @ SV19 )
= $true )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(164,plain,
! [SV4: a,SV6: a,SV18: a,SV15: a] :
( ( ( sK1_R @ SV15 @ SV18 )
= $false )
| ( ( sK7_SY47 @ SV6 @ SV4 @ SV15 )
= $false )
| ( ( sK7_SY47 @ SV6 @ SV4 @ SV18 )
= $true )
| ( ( sK5_SY110 @ SV4 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(165,plain,
! [SV5: a,SV7: a,SV19: a,SV17: a] :
( ( ( sK2_SY28 @ SV17 @ SV19 )
= $false )
| ( ( sK6_SY77 @ SV7 @ SV5 @ SV17 )
= $false )
| ( ( sK6_SY77 @ SV7 @ SV5 @ SV19 )
= $true )
| ( ( sK5_SY110 @ SV5 )
= $false )
| ( ( sK5_SY110 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(166,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[26,165,164,158,156,155,154,136,134,125,123,99,97,95,94,86,84,69,67]) ).
thf(167,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEV149^5 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 28 15:57:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.37
% 0.19/0.37 No.of.Axioms: 0
% 0.19/0.37
% 0.19/0.37 Length.of.Defs: 0
% 0.19/0.37
% 0.19/0.37 Contains.Choice.Funs: false
% 0.19/0.40 (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)....................
% 0.40/0.61
% 0.40/0.61 ********************************
% 0.40/0.61 * All subproblems solved! *
% 0.40/0.61 ********************************
% 0.40/0.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:166,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.40/0.62
% 0.40/0.62 %**** Beginning of derivation protocol ****
% 0.40/0.62 % SZS output start CNFRefutation
% See solution above
% 0.40/0.63
% 0.40/0.63 %**** End of derivation protocol ****
% 0.40/0.63 %**** no. of clauses in derivation: 167 ****
% 0.40/0.63 %**** clause counter: 166 ****
% 0.40/0.63
% 0.40/0.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:166,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------