TSTP Solution File: SEU905^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU905^5 : 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 : n016.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 12:15:42 EDT 2022
% Result : Theorem 0.41s 0.62s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 20
% Syntax : Number of formulae : 234 ( 75 unt; 19 typ; 0 def)
% Number of atoms : 2441 ( 643 equ; 0 cnn)
% Maximal formula atoms : 4 ( 11 avg)
% Number of connectives : 5243 (1171 ~; 878 |; 271 &;2758 @)
% ( 0 <=>; 165 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 3 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 87 ( 87 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 624 ( 0 ^ 624 !; 0 ?; 624 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_g,type,
g: $tType ).
thf(tp_sK10_SY225,type,
sK10_SY225: a ).
thf(tp_sK11_SY114,type,
sK11_SY114: g ).
thf(tp_sK12_SY226,type,
sK12_SY226: g ).
thf(tp_sK13_SY187,type,
sK13_SY187: g ).
thf(tp_sK14_SY209,type,
sK14_SY209: g ).
thf(tp_sK15_SY227,type,
sK15_SY227: g ).
thf(tp_sK16_REN,type,
sK16_REN: $o ).
thf(tp_sK1_Xh1,type,
sK1_Xh1: g > b ).
thf(tp_sK2_SY29,type,
sK2_SY29: b > a ).
thf(tp_sK3_SY57,type,
sK3_SY57: g > $o ).
thf(tp_sK4_SY84,type,
sK4_SY84: g > g > g ).
thf(tp_sK5_SY110,type,
sK5_SY110: b > $o ).
thf(tp_sK6_SY135,type,
sK6_SY135: b > b > b ).
thf(tp_sK7_SY159,type,
sK7_SY159: a > $o ).
thf(tp_sK8_SY182,type,
sK8_SY182: a > a > a ).
thf(tp_sK9_SY206,type,
sK9_SY206: a ).
thf(1,conjecture,
! [Xh1: g > b,Xh2: b > a,Xs1: g > $o,Xf1: g > g > g,Xs2: b > $o,Xf2: b > b > b,Xs3: a > $o,Xf3: a > a > a] :
( ~ ( ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( Xs1 @ ( Xf1 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs3 @ ( Xh2 @ ( Xh1 @ Xx ) ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( ( Xh2 @ ( Xh1 @ ( Xf1 @ Xx @ Xy ) ) )
= ( Xf3 @ ( Xh2 @ ( Xh1 @ Xx ) ) @ ( Xh2 @ ( Xh1 @ Xy ) ) ) ) ) )
=> ~ ( ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( Xs1 @ ( Xf1 @ Xx @ Xy ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xx )
& ( Xs2 @ Xy ) )
=> ( Xs2 @ ( Xf2 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs2 @ ( Xh1 @ Xx ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( ( Xh1 @ ( Xf1 @ Xx @ Xy ) )
= ( Xf2 @ ( Xh1 @ Xx ) @ ( Xh1 @ Xy ) ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xx )
& ( Xs2 @ Xy ) )
=> ( Xs2 @ ( Xf2 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( Xs3 @ ( Xh2 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xx )
& ( Xs2 @ Xy ) )
=> ( ( Xh2 @ ( Xf2 @ Xx @ Xy ) )
= ( Xf3 @ ( Xh2 @ Xx ) @ ( Xh2 @ Xy ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM126A_pme) ).
thf(2,negated_conjecture,
( ( ! [Xh1: g > b,Xh2: b > a,Xs1: g > $o,Xf1: g > g > g,Xs2: b > $o,Xf2: b > b > b,Xs3: a > $o,Xf3: a > a > a] :
( ~ ( ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( Xs1 @ ( Xf1 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs3 @ ( Xh2 @ ( Xh1 @ Xx ) ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( ( Xh2 @ ( Xh1 @ ( Xf1 @ Xx @ Xy ) ) )
= ( Xf3 @ ( Xh2 @ ( Xh1 @ Xx ) ) @ ( Xh2 @ ( Xh1 @ Xy ) ) ) ) ) )
=> ~ ( ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( Xs1 @ ( Xf1 @ Xx @ Xy ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xx )
& ( Xs2 @ Xy ) )
=> ( Xs2 @ ( Xf2 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs2 @ ( Xh1 @ Xx ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( ( Xh1 @ ( Xf1 @ Xx @ Xy ) )
= ( Xf2 @ ( Xh1 @ Xx ) @ ( Xh1 @ Xy ) ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xx )
& ( Xs2 @ Xy ) )
=> ( Xs2 @ ( Xf2 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( Xs3 @ ( Xh2 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xx )
& ( Xs2 @ Xy ) )
=> ( ( Xh2 @ ( Xf2 @ Xx @ Xy ) )
= ( Xf3 @ ( Xh2 @ Xx ) @ ( Xh2 @ Xy ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xh1: g > b,Xh2: b > a,Xs1: g > $o,Xf1: g > g > g,Xs2: b > $o,Xf2: b > b > b,Xs3: a > $o,Xf3: a > a > a] :
( ~ ( ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( Xs1 @ ( Xf1 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs3 @ ( Xh2 @ ( Xh1 @ Xx ) ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( ( Xh2 @ ( Xh1 @ ( Xf1 @ Xx @ Xy ) ) )
= ( Xf3 @ ( Xh2 @ ( Xh1 @ Xx ) ) @ ( Xh2 @ ( Xh1 @ Xy ) ) ) ) ) )
=> ~ ( ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( Xs1 @ ( Xf1 @ Xx @ Xy ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xx )
& ( Xs2 @ Xy ) )
=> ( Xs2 @ ( Xf2 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs2 @ ( Xh1 @ Xx ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xx )
& ( Xs1 @ Xy ) )
=> ( ( Xh1 @ ( Xf1 @ Xx @ Xy ) )
= ( Xf2 @ ( Xh1 @ Xx ) @ ( Xh1 @ Xy ) ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xx )
& ( Xs2 @ Xy ) )
=> ( Xs2 @ ( Xf2 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( Xs3 @ ( Xh2 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xx )
& ( Xs2 @ Xy ) )
=> ( ( Xh2 @ ( Xf2 @ Xx @ Xy ) )
= ( Xf3 @ ( Xh2 @ Xx ) @ ( Xh2 @ Xy ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY29: b > a,SY30: g > $o,SY31: g > g > g,SY32: b > $o,SY33: b > b > b,SY34: a > $o,SY35: a > a > a] :
( ~ ( ! [Xx: g,Xy: g] :
( ( ( SY30 @ Xx )
& ( SY30 @ Xy ) )
=> ( SY30 @ ( SY31 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY34 @ Xx )
& ( SY34 @ Xy ) )
=> ( SY34 @ ( SY35 @ Xx @ Xy ) ) )
& ! [SY40: g] :
( ( SY30 @ SY40 )
=> ( SY34 @ ( SY29 @ ( sK1_Xh1 @ SY40 ) ) ) )
& ! [SY41: g,SY42: g] :
( ( ( SY30 @ SY41 )
& ( SY30 @ SY42 ) )
=> ( ( SY29 @ ( sK1_Xh1 @ ( SY31 @ SY41 @ SY42 ) ) )
= ( SY35 @ ( SY29 @ ( sK1_Xh1 @ SY41 ) ) @ ( SY29 @ ( sK1_Xh1 @ SY42 ) ) ) ) ) )
=> ~ ( ! [Xx: g,Xy: g] :
( ( ( SY30 @ Xx )
& ( SY30 @ Xy ) )
=> ( SY30 @ ( SY31 @ Xx @ Xy ) ) )
& ! [Xx: b,Xy: b] :
( ( ( SY32 @ Xx )
& ( SY32 @ Xy ) )
=> ( SY32 @ ( SY33 @ Xx @ Xy ) ) )
& ! [SY47: g] :
( ( SY30 @ SY47 )
=> ( SY32 @ ( sK1_Xh1 @ SY47 ) ) )
& ! [SY48: g,SY49: g] :
( ( ( SY30 @ SY48 )
& ( SY30 @ SY49 ) )
=> ( ( sK1_Xh1 @ ( SY31 @ SY48 @ SY49 ) )
= ( SY33 @ ( sK1_Xh1 @ SY48 ) @ ( sK1_Xh1 @ SY49 ) ) ) )
& ! [Xx: b,Xy: b] :
( ( ( SY32 @ Xx )
& ( SY32 @ Xy ) )
=> ( SY32 @ ( SY33 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY34 @ Xx )
& ( SY34 @ Xy ) )
=> ( SY34 @ ( SY35 @ Xx @ Xy ) ) )
& ! [Xx: b] :
( ( SY32 @ Xx )
=> ( SY34 @ ( SY29 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( SY32 @ Xx )
& ( SY32 @ Xy ) )
=> ( ( SY29 @ ( SY33 @ Xx @ Xy ) )
= ( SY35 @ ( SY29 @ Xx ) @ ( SY29 @ Xy ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY57: g > $o,SY58: g > g > g,SY59: b > $o,SY60: b > b > b,SY61: a > $o,SY62: a > a > a] :
( ~ ( ! [Xx: g,Xy: g] :
( ( ( SY57 @ Xx )
& ( SY57 @ Xy ) )
=> ( SY57 @ ( SY58 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY61 @ Xx )
& ( SY61 @ Xy ) )
=> ( SY61 @ ( SY62 @ Xx @ Xy ) ) )
& ! [SY67: g] :
( ( SY57 @ SY67 )
=> ( SY61 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY67 ) ) ) )
& ! [SY68: g,SY69: g] :
( ( ( SY57 @ SY68 )
& ( SY57 @ SY69 ) )
=> ( ( sK2_SY29 @ ( sK1_Xh1 @ ( SY58 @ SY68 @ SY69 ) ) )
= ( SY62 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY68 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY69 ) ) ) ) ) )
=> ~ ( ! [Xx: g,Xy: g] :
( ( ( SY57 @ Xx )
& ( SY57 @ Xy ) )
=> ( SY57 @ ( SY58 @ Xx @ Xy ) ) )
& ! [Xx: b,Xy: b] :
( ( ( SY59 @ Xx )
& ( SY59 @ Xy ) )
=> ( SY59 @ ( SY60 @ Xx @ Xy ) ) )
& ! [SY47: g] :
( ( SY57 @ SY47 )
=> ( SY59 @ ( sK1_Xh1 @ SY47 ) ) )
& ! [SY48: g,SY49: g] :
( ( ( SY57 @ SY48 )
& ( SY57 @ SY49 ) )
=> ( ( sK1_Xh1 @ ( SY58 @ SY48 @ SY49 ) )
= ( SY60 @ ( sK1_Xh1 @ SY48 ) @ ( sK1_Xh1 @ SY49 ) ) ) )
& ! [Xx: b,Xy: b] :
( ( ( SY59 @ Xx )
& ( SY59 @ Xy ) )
=> ( SY59 @ ( SY60 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY61 @ Xx )
& ( SY61 @ Xy ) )
=> ( SY61 @ ( SY62 @ Xx @ Xy ) ) )
& ! [SY81: b] :
( ( SY59 @ SY81 )
=> ( SY61 @ ( sK2_SY29 @ SY81 ) ) )
& ! [SY82: b,SY83: b] :
( ( ( SY59 @ SY82 )
& ( SY59 @ SY83 ) )
=> ( ( sK2_SY29 @ ( SY60 @ SY82 @ SY83 ) )
= ( SY62 @ ( sK2_SY29 @ SY82 ) @ ( sK2_SY29 @ SY83 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY84: g > g > g,SY85: b > $o,SY86: b > b > b,SY87: a > $o,SY88: a > a > a] :
( ~ ( ! [SY89: g,SY90: g] :
( ( ( sK3_SY57 @ SY89 )
& ( sK3_SY57 @ SY90 ) )
=> ( sK3_SY57 @ ( SY84 @ SY89 @ SY90 ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY87 @ Xx )
& ( SY87 @ Xy ) )
=> ( SY87 @ ( SY88 @ Xx @ Xy ) ) )
& ! [SY93: g] :
( ( sK3_SY57 @ SY93 )
=> ( SY87 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY93 ) ) ) )
& ! [SY94: g,SY95: g] :
( ( ( sK3_SY57 @ SY94 )
& ( sK3_SY57 @ SY95 ) )
=> ( ( sK2_SY29 @ ( sK1_Xh1 @ ( SY84 @ SY94 @ SY95 ) ) )
= ( SY88 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY94 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY95 ) ) ) ) ) )
=> ~ ( ! [SY96: g,SY97: g] :
( ( ( sK3_SY57 @ SY96 )
& ( sK3_SY57 @ SY97 ) )
=> ( sK3_SY57 @ ( SY84 @ SY96 @ SY97 ) ) )
& ! [Xx: b,Xy: b] :
( ( ( SY85 @ Xx )
& ( SY85 @ Xy ) )
=> ( SY85 @ ( SY86 @ Xx @ Xy ) ) )
& ! [SY100: g] :
( ( sK3_SY57 @ SY100 )
=> ( SY85 @ ( sK1_Xh1 @ SY100 ) ) )
& ! [SY101: g,SY102: g] :
( ( ( sK3_SY57 @ SY101 )
& ( sK3_SY57 @ SY102 ) )
=> ( ( sK1_Xh1 @ ( SY84 @ SY101 @ SY102 ) )
= ( SY86 @ ( sK1_Xh1 @ SY101 ) @ ( sK1_Xh1 @ SY102 ) ) ) )
& ! [Xx: b,Xy: b] :
( ( ( SY85 @ Xx )
& ( SY85 @ Xy ) )
=> ( SY85 @ ( SY86 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY87 @ Xx )
& ( SY87 @ Xy ) )
=> ( SY87 @ ( SY88 @ Xx @ Xy ) ) )
& ! [SY81: b] :
( ( SY85 @ SY81 )
=> ( SY87 @ ( sK2_SY29 @ SY81 ) ) )
& ! [SY82: b,SY83: b] :
( ( ( SY85 @ SY82 )
& ( SY85 @ SY83 ) )
=> ( ( sK2_SY29 @ ( SY86 @ SY82 @ SY83 ) )
= ( SY88 @ ( sK2_SY29 @ SY82 ) @ ( sK2_SY29 @ SY83 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY110: b > $o,SY111: b > b > b,SY112: a > $o,SY113: a > a > a] :
( ~ ( ! [SY114: g,SY115: g] :
( ( ( sK3_SY57 @ SY114 )
& ( sK3_SY57 @ SY115 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY114 @ SY115 ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY112 @ Xx )
& ( SY112 @ Xy ) )
=> ( SY112 @ ( SY113 @ Xx @ Xy ) ) )
& ! [SY93: g] :
( ( sK3_SY57 @ SY93 )
=> ( SY112 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY93 ) ) ) )
& ! [SY119: g,SY120: g] :
( ( ( sK3_SY57 @ SY119 )
& ( sK3_SY57 @ SY120 ) )
=> ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ SY119 @ SY120 ) ) )
= ( SY113 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY119 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY120 ) ) ) ) ) )
=> ~ ( ! [SY121: g,SY122: g] :
( ( ( sK3_SY57 @ SY121 )
& ( sK3_SY57 @ SY122 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY121 @ SY122 ) ) )
& ! [Xx: b,Xy: b] :
( ( ( SY110 @ Xx )
& ( SY110 @ Xy ) )
=> ( SY110 @ ( SY111 @ Xx @ Xy ) ) )
& ! [SY100: g] :
( ( sK3_SY57 @ SY100 )
=> ( SY110 @ ( sK1_Xh1 @ SY100 ) ) )
& ! [SY126: g,SY127: g] :
( ( ( sK3_SY57 @ SY126 )
& ( sK3_SY57 @ SY127 ) )
=> ( ( sK1_Xh1 @ ( sK4_SY84 @ SY126 @ SY127 ) )
= ( SY111 @ ( sK1_Xh1 @ SY126 ) @ ( sK1_Xh1 @ SY127 ) ) ) )
& ! [Xx: b,Xy: b] :
( ( ( SY110 @ Xx )
& ( SY110 @ Xy ) )
=> ( SY110 @ ( SY111 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY112 @ Xx )
& ( SY112 @ Xy ) )
=> ( SY112 @ ( SY113 @ Xx @ Xy ) ) )
& ! [SY81: b] :
( ( SY110 @ SY81 )
=> ( SY112 @ ( sK2_SY29 @ SY81 ) ) )
& ! [SY82: b,SY83: b] :
( ( ( SY110 @ SY82 )
& ( SY110 @ SY83 ) )
=> ( ( sK2_SY29 @ ( SY111 @ SY82 @ SY83 ) )
= ( SY113 @ ( sK2_SY29 @ SY82 ) @ ( sK2_SY29 @ SY83 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY135: b > b > b,SY136: a > $o,SY137: a > a > a] :
( ~ ( ! [SY114: g,SY115: g] :
( ( ( sK3_SY57 @ SY114 )
& ( sK3_SY57 @ SY115 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY114 @ SY115 ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY136 @ Xx )
& ( SY136 @ Xy ) )
=> ( SY136 @ ( SY137 @ Xx @ Xy ) ) )
& ! [SY93: g] :
( ( sK3_SY57 @ SY93 )
=> ( SY136 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY93 ) ) ) )
& ! [SY119: g,SY120: g] :
( ( ( sK3_SY57 @ SY119 )
& ( sK3_SY57 @ SY120 ) )
=> ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ SY119 @ SY120 ) ) )
= ( SY137 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY119 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY120 ) ) ) ) ) )
=> ~ ( ! [SY121: g,SY122: g] :
( ( ( sK3_SY57 @ SY121 )
& ( sK3_SY57 @ SY122 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY121 @ SY122 ) ) )
& ! [SY147: b,SY148: b] :
( ( ( sK5_SY110 @ SY147 )
& ( sK5_SY110 @ SY148 ) )
=> ( sK5_SY110 @ ( SY135 @ SY147 @ SY148 ) ) )
& ! [SY149: g] :
( ( sK3_SY57 @ SY149 )
=> ( sK5_SY110 @ ( sK1_Xh1 @ SY149 ) ) )
& ! [SY126: g,SY127: g] :
( ( ( sK3_SY57 @ SY126 )
& ( sK3_SY57 @ SY127 ) )
=> ( ( sK1_Xh1 @ ( sK4_SY84 @ SY126 @ SY127 ) )
= ( SY135 @ ( sK1_Xh1 @ SY126 ) @ ( sK1_Xh1 @ SY127 ) ) ) )
& ! [SY152: b,SY153: b] :
( ( ( sK5_SY110 @ SY152 )
& ( sK5_SY110 @ SY153 ) )
=> ( sK5_SY110 @ ( SY135 @ SY152 @ SY153 ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY136 @ Xx )
& ( SY136 @ Xy ) )
=> ( SY136 @ ( SY137 @ Xx @ Xy ) ) )
& ! [SY156: b] :
( ( sK5_SY110 @ SY156 )
=> ( SY136 @ ( sK2_SY29 @ SY156 ) ) )
& ! [SY157: b,SY158: b] :
( ( ( sK5_SY110 @ SY157 )
& ( sK5_SY110 @ SY158 ) )
=> ( ( sK2_SY29 @ ( SY135 @ SY157 @ SY158 ) )
= ( SY137 @ ( sK2_SY29 @ SY157 ) @ ( sK2_SY29 @ SY158 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[7]) ).
thf(9,plain,
( ( ! [SY159: a > $o,SY160: a > a > a] :
( ~ ( ! [SY114: g,SY115: g] :
( ( ( sK3_SY57 @ SY114 )
& ( sK3_SY57 @ SY115 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY114 @ SY115 ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY159 @ Xx )
& ( SY159 @ Xy ) )
=> ( SY159 @ ( SY160 @ Xx @ Xy ) ) )
& ! [SY93: g] :
( ( sK3_SY57 @ SY93 )
=> ( SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY93 ) ) ) )
& ! [SY119: g,SY120: g] :
( ( ( sK3_SY57 @ SY119 )
& ( sK3_SY57 @ SY120 ) )
=> ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ SY119 @ SY120 ) ) )
= ( SY160 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY119 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY120 ) ) ) ) ) )
=> ~ ( ! [SY121: g,SY122: g] :
( ( ( sK3_SY57 @ SY121 )
& ( sK3_SY57 @ SY122 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY121 @ SY122 ) ) )
& ! [SY170: b,SY171: b] :
( ( ( sK5_SY110 @ SY170 )
& ( sK5_SY110 @ SY171 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY170 @ SY171 ) ) )
& ! [SY149: g] :
( ( sK3_SY57 @ SY149 )
=> ( sK5_SY110 @ ( sK1_Xh1 @ SY149 ) ) )
& ! [SY173: g,SY174: g] :
( ( ( sK3_SY57 @ SY173 )
& ( sK3_SY57 @ SY174 ) )
=> ( ( sK1_Xh1 @ ( sK4_SY84 @ SY173 @ SY174 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SY173 ) @ ( sK1_Xh1 @ SY174 ) ) ) )
& ! [SY175: b,SY176: b] :
( ( ( sK5_SY110 @ SY175 )
& ( sK5_SY110 @ SY176 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY175 @ SY176 ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY159 @ Xx )
& ( SY159 @ Xy ) )
=> ( SY159 @ ( SY160 @ Xx @ Xy ) ) )
& ! [SY156: b] :
( ( sK5_SY110 @ SY156 )
=> ( SY159 @ ( sK2_SY29 @ SY156 ) ) )
& ! [SY180: b,SY181: b] :
( ( ( sK5_SY110 @ SY180 )
& ( sK5_SY110 @ SY181 ) )
=> ( ( sK2_SY29 @ ( sK6_SY135 @ SY180 @ SY181 ) )
= ( SY160 @ ( sK2_SY29 @ SY180 ) @ ( sK2_SY29 @ SY181 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [SY182: a > a > a] :
( ~ ( ! [SY114: g,SY115: g] :
( ( ( sK3_SY57 @ SY114 )
& ( sK3_SY57 @ SY115 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY114 @ SY115 ) ) )
& ! [SY185: a,SY186: a] :
( ( ( sK7_SY159 @ SY185 )
& ( sK7_SY159 @ SY186 ) )
=> ( sK7_SY159 @ ( SY182 @ SY185 @ SY186 ) ) )
& ! [SY187: g] :
( ( sK3_SY57 @ SY187 )
=> ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY187 ) ) ) )
& ! [SY119: g,SY120: g] :
( ( ( sK3_SY57 @ SY119 )
& ( sK3_SY57 @ SY120 ) )
=> ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ SY119 @ SY120 ) ) )
= ( SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY119 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY120 ) ) ) ) ) )
=> ~ ( ! [SY121: g,SY122: g] :
( ( ( sK3_SY57 @ SY121 )
& ( sK3_SY57 @ SY122 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY121 @ SY122 ) ) )
& ! [SY170: b,SY171: b] :
( ( ( sK5_SY110 @ SY170 )
& ( sK5_SY110 @ SY171 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY170 @ SY171 ) ) )
& ! [SY149: g] :
( ( sK3_SY57 @ SY149 )
=> ( sK5_SY110 @ ( sK1_Xh1 @ SY149 ) ) )
& ! [SY173: g,SY174: g] :
( ( ( sK3_SY57 @ SY173 )
& ( sK3_SY57 @ SY174 ) )
=> ( ( sK1_Xh1 @ ( sK4_SY84 @ SY173 @ SY174 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SY173 ) @ ( sK1_Xh1 @ SY174 ) ) ) )
& ! [SY175: b,SY176: b] :
( ( ( sK5_SY110 @ SY175 )
& ( sK5_SY110 @ SY176 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY175 @ SY176 ) ) )
& ! [SY199: a,SY200: a] :
( ( ( sK7_SY159 @ SY199 )
& ( sK7_SY159 @ SY200 ) )
=> ( sK7_SY159 @ ( SY182 @ SY199 @ SY200 ) ) )
& ! [SY201: b] :
( ( sK5_SY110 @ SY201 )
=> ( sK7_SY159 @ ( sK2_SY29 @ SY201 ) ) )
& ! [SY180: b,SY181: b] :
( ( ( sK5_SY110 @ SY180 )
& ( sK5_SY110 @ SY181 ) )
=> ( ( sK2_SY29 @ ( sK6_SY135 @ SY180 @ SY181 ) )
= ( SY182 @ ( sK2_SY29 @ SY180 ) @ ( sK2_SY29 @ SY181 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[9]) ).
thf(11,plain,
( ( ~ ( ! [SY114: g,SY115: g] :
( ( ( sK3_SY57 @ SY114 )
& ( sK3_SY57 @ SY115 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY114 @ SY115 ) ) )
& ! [SY206: a,SY207: a] :
( ( ( sK7_SY159 @ SY206 )
& ( sK7_SY159 @ SY207 ) )
=> ( sK7_SY159 @ ( sK8_SY182 @ SY206 @ SY207 ) ) )
& ! [SY187: g] :
( ( sK3_SY57 @ SY187 )
=> ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY187 ) ) ) )
& ! [SY209: g,SY210: g] :
( ( ( sK3_SY57 @ SY209 )
& ( sK3_SY57 @ SY210 ) )
=> ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ SY209 @ SY210 ) ) )
= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY209 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY210 ) ) ) ) ) )
=> ~ ( ! [SY121: g,SY122: g] :
( ( ( sK3_SY57 @ SY121 )
& ( sK3_SY57 @ SY122 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY121 @ SY122 ) ) )
& ! [SY170: b,SY171: b] :
( ( ( sK5_SY110 @ SY170 )
& ( sK5_SY110 @ SY171 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY170 @ SY171 ) ) )
& ! [SY149: g] :
( ( sK3_SY57 @ SY149 )
=> ( sK5_SY110 @ ( sK1_Xh1 @ SY149 ) ) )
& ! [SY173: g,SY174: g] :
( ( ( sK3_SY57 @ SY173 )
& ( sK3_SY57 @ SY174 ) )
=> ( ( sK1_Xh1 @ ( sK4_SY84 @ SY173 @ SY174 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SY173 ) @ ( sK1_Xh1 @ SY174 ) ) ) )
& ! [SY175: b,SY176: b] :
( ( ( sK5_SY110 @ SY175 )
& ( sK5_SY110 @ SY176 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY175 @ SY176 ) ) )
& ! [SY220: a,SY221: a] :
( ( ( sK7_SY159 @ SY220 )
& ( sK7_SY159 @ SY221 ) )
=> ( sK7_SY159 @ ( sK8_SY182 @ SY220 @ SY221 ) ) )
& ! [SY201: b] :
( ( sK5_SY110 @ SY201 )
=> ( sK7_SY159 @ ( sK2_SY29 @ SY201 ) ) )
& ! [SY223: b,SY224: b] :
( ( ( sK5_SY110 @ SY223 )
& ( sK5_SY110 @ SY224 ) )
=> ( ( sK2_SY29 @ ( sK6_SY135 @ SY223 @ SY224 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SY223 ) @ ( sK2_SY29 @ SY224 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[10]) ).
thf(12,plain,
( ( ~ ( ! [SY114: g,SY115: g] :
( ( ( sK3_SY57 @ SY114 )
& ( sK3_SY57 @ SY115 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY114 @ SY115 ) ) )
& ! [SY206: a,SY207: a] :
( ( ( sK7_SY159 @ SY206 )
& ( sK7_SY159 @ SY207 ) )
=> ( sK7_SY159 @ ( sK8_SY182 @ SY206 @ SY207 ) ) )
& ! [SY187: g] :
( ( sK3_SY57 @ SY187 )
=> ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY187 ) ) ) )
& ! [SY209: g,SY210: g] :
( ( ( sK3_SY57 @ SY209 )
& ( sK3_SY57 @ SY210 ) )
=> ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ SY209 @ SY210 ) ) )
= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ SY209 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ SY210 ) ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(13,plain,
( ( ~ ( ! [SY121: g,SY122: g] :
( ( ( sK3_SY57 @ SY121 )
& ( sK3_SY57 @ SY122 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY121 @ SY122 ) ) )
& ! [SY170: b,SY171: b] :
( ( ( sK5_SY110 @ SY170 )
& ( sK5_SY110 @ SY171 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY170 @ SY171 ) ) )
& ! [SY149: g] :
( ( sK3_SY57 @ SY149 )
=> ( sK5_SY110 @ ( sK1_Xh1 @ SY149 ) ) )
& ! [SY173: g,SY174: g] :
( ( ( sK3_SY57 @ SY173 )
& ( sK3_SY57 @ SY174 ) )
=> ( ( sK1_Xh1 @ ( sK4_SY84 @ SY173 @ SY174 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SY173 ) @ ( sK1_Xh1 @ SY174 ) ) ) )
& ! [SY175: b,SY176: b] :
( ( ( sK5_SY110 @ SY175 )
& ( sK5_SY110 @ SY176 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY175 @ SY176 ) ) )
& ! [SY220: a,SY221: a] :
( ( ( sK7_SY159 @ SY220 )
& ( sK7_SY159 @ SY221 ) )
=> ( sK7_SY159 @ ( sK8_SY182 @ SY220 @ SY221 ) ) )
& ! [SY201: b] :
( ( sK5_SY110 @ SY201 )
=> ( sK7_SY159 @ ( sK2_SY29 @ SY201 ) ) )
& ! [SY223: b,SY224: b] :
( ( ( sK5_SY110 @ SY223 )
& ( sK5_SY110 @ SY224 ) )
=> ( ( sK2_SY29 @ ( sK6_SY135 @ SY223 @ SY224 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SY223 ) @ ( sK2_SY29 @ SY224 ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[11]) ).
thf(14,plain,
( ( ! [SY121: g,SY122: g] :
( ( ( sK3_SY57 @ SY121 )
& ( sK3_SY57 @ SY122 ) )
=> ( sK3_SY57 @ ( sK4_SY84 @ SY121 @ SY122 ) ) )
& ! [SY170: b,SY171: b] :
( ( ( sK5_SY110 @ SY170 )
& ( sK5_SY110 @ SY171 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY170 @ SY171 ) ) )
& ! [SY149: g] :
( ( sK3_SY57 @ SY149 )
=> ( sK5_SY110 @ ( sK1_Xh1 @ SY149 ) ) )
& ! [SY173: g,SY174: g] :
( ( ( sK3_SY57 @ SY173 )
& ( sK3_SY57 @ SY174 ) )
=> ( ( sK1_Xh1 @ ( sK4_SY84 @ SY173 @ SY174 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SY173 ) @ ( sK1_Xh1 @ SY174 ) ) ) )
& ! [SY175: b,SY176: b] :
( ( ( sK5_SY110 @ SY175 )
& ( sK5_SY110 @ SY176 ) )
=> ( sK5_SY110 @ ( sK6_SY135 @ SY175 @ SY176 ) ) )
& ! [SY220: a,SY221: a] :
( ( ( sK7_SY159 @ SY220 )
& ( sK7_SY159 @ SY221 ) )
=> ( sK7_SY159 @ ( sK8_SY182 @ SY220 @ SY221 ) ) )
& ! [SY201: b] :
( ( sK5_SY110 @ SY201 )
=> ( sK7_SY159 @ ( sK2_SY29 @ SY201 ) ) )
& ! [SY223: b,SY224: b] :
( ( ( sK5_SY110 @ SY223 )
& ( sK5_SY110 @ SY224 ) )
=> ( ( sK2_SY29 @ ( sK6_SY135 @ SY223 @ SY224 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SY223 ) @ ( sK2_SY29 @ SY224 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[13]) ).
thf(15,plain,
( ( ! [SY223: b,SY224: b] :
( ~ ( sK5_SY110 @ SY223 )
| ~ ( sK5_SY110 @ SY224 )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SY223 @ SY224 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SY223 ) @ ( sK2_SY29 @ SY224 ) ) ) )
& ! [SY201: b] :
( ~ ( sK5_SY110 @ SY201 )
| ( sK7_SY159 @ ( sK2_SY29 @ SY201 ) ) )
& ! [SY220: a,SY221: a] :
( ~ ( sK7_SY159 @ SY220 )
| ~ ( sK7_SY159 @ SY221 )
| ( sK7_SY159 @ ( sK8_SY182 @ SY220 @ SY221 ) ) )
& ! [SY175: b,SY176: b] :
( ~ ( sK5_SY110 @ SY175 )
| ~ ( sK5_SY110 @ SY176 )
| ( sK5_SY110 @ ( sK6_SY135 @ SY175 @ SY176 ) ) )
& ! [SY173: g,SY174: g] :
( ~ ( sK3_SY57 @ SY173 )
| ~ ( sK3_SY57 @ SY174 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SY173 @ SY174 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SY173 ) @ ( sK1_Xh1 @ SY174 ) ) ) )
& ! [SY149: g] :
( ~ ( sK3_SY57 @ SY149 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SY149 ) ) )
& ! [SY121: g,SY122: g] :
( ~ ( sK3_SY57 @ SY121 )
| ~ ( sK3_SY57 @ SY122 )
| ( sK3_SY57 @ ( sK4_SY84 @ SY121 @ SY122 ) ) )
& ! [SY170: b,SY171: b] :
( ~ ( sK5_SY110 @ SY170 )
| ~ ( sK5_SY110 @ SY171 )
| ( sK5_SY110 @ ( sK6_SY135 @ SY170 @ SY171 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(16,plain,
( ( ( sK16_REN
| ( ( sK3_SY57 @ sK13_SY187 )
& ~ ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) ) )
| ( ( sK3_SY57 @ sK11_SY114 )
& ( sK3_SY57 @ sK12_SY226 )
& ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
| ( ( sK7_SY159 @ sK9_SY206 )
& ( sK7_SY159 @ sK10_SY225 )
& ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
& ( sK16_REN
=> ( ( sK3_SY57 @ sK14_SY209 )
& ( sK3_SY57 @ sK15_SY227 )
& ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ sK14_SY209 @ sK15_SY227 ) ) )
!= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK14_SY209 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ sK15_SY227 ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(17,plain,
( ( ( sK16_REN
| ( ( sK3_SY57 @ sK13_SY187 )
& ~ ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) ) )
| ( ( sK3_SY57 @ sK11_SY114 )
& ( sK3_SY57 @ sK12_SY226 )
& ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
| ( ( sK7_SY159 @ sK9_SY206 )
& ( sK7_SY159 @ sK10_SY225 )
& ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
& ( sK16_REN
=> ( ( sK3_SY57 @ sK14_SY209 )
& ( sK3_SY57 @ sK15_SY227 )
& ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ sK14_SY209 @ sK15_SY227 ) ) )
!= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK14_SY209 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ sK15_SY227 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(18,plain,
( ( ! [SY223: b,SY224: b] :
( ~ ( sK5_SY110 @ SY223 )
| ~ ( sK5_SY110 @ SY224 )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SY223 @ SY224 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SY223 ) @ ( sK2_SY29 @ SY224 ) ) ) )
& ! [SY201: b] :
( ~ ( sK5_SY110 @ SY201 )
| ( sK7_SY159 @ ( sK2_SY29 @ SY201 ) ) )
& ! [SY220: a,SY221: a] :
( ~ ( sK7_SY159 @ SY220 )
| ~ ( sK7_SY159 @ SY221 )
| ( sK7_SY159 @ ( sK8_SY182 @ SY220 @ SY221 ) ) )
& ! [SY175: b,SY176: b] :
( ~ ( sK5_SY110 @ SY175 )
| ~ ( sK5_SY110 @ SY176 )
| ( sK5_SY110 @ ( sK6_SY135 @ SY175 @ SY176 ) ) )
& ! [SY173: g,SY174: g] :
( ~ ( sK3_SY57 @ SY173 )
| ~ ( sK3_SY57 @ SY174 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SY173 @ SY174 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SY173 ) @ ( sK1_Xh1 @ SY174 ) ) ) )
& ! [SY149: g] :
( ~ ( sK3_SY57 @ SY149 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SY149 ) ) )
& ! [SY121: g,SY122: g] :
( ~ ( sK3_SY57 @ SY121 )
| ~ ( sK3_SY57 @ SY122 )
| ( sK3_SY57 @ ( sK4_SY84 @ SY121 @ SY122 ) ) )
& ! [SY170: b,SY171: b] :
( ~ ( sK5_SY110 @ SY170 )
| ~ ( sK5_SY110 @ SY171 )
| ( sK5_SY110 @ ( sK6_SY135 @ SY170 @ SY171 ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ( ~ ( sK16_REN
| ~ ( ~ ( sK3_SY57 @ sK13_SY187 )
| ~ ~ ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) ) )
| ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) )
| ~ ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
| ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
| ~ ( ~ sK16_REN
| ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK14_SY209 )
| ~ ( sK3_SY57 @ sK15_SY227 ) )
| ~ ( ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ sK14_SY209 @ sK15_SY227 ) ) )
!= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK14_SY209 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ sK15_SY227 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ( ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SX0 @ SX1 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SX0 ) @ ( sK2_SY29 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX0: b] :
( ~ ( sK5_SY110 @ SX0 )
| ( sK7_SY159 @ ( sK2_SY29 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK7_SY159 @ SX0 )
| ~ ( sK7_SY159 @ SX1 )
| ( sK7_SY159 @ ( sK8_SY182 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(21,plain,
( ( ~ ( sK16_REN
| ~ ( ~ ( sK3_SY57 @ sK13_SY187 )
| ~ ~ ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) ) )
| ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) )
| ~ ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
| ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
| ~ ( ~ sK16_REN
| ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK14_SY209 )
| ~ ( sK3_SY57 @ sK15_SY227 ) )
| ~ ( ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ sK14_SY209 @ sK15_SY227 ) ) )
!= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK14_SY209 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ sK15_SY227 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(22,plain,
( ( ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SX0 @ SX1 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SX0 ) @ ( sK2_SY29 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX0: b] :
( ~ ( sK5_SY110 @ SX0 )
| ( sK7_SY159 @ ( sK2_SY29 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK7_SY159 @ SX0 )
| ~ ( sK7_SY159 @ SX1 )
| ( sK7_SY159 @ ( sK8_SY182 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(23,plain,
( ( ~ ( sK16_REN
| ~ ( ~ ( sK3_SY57 @ sK13_SY187 )
| ~ ~ ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) ) )
| ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) )
| ~ ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
| ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(24,plain,
( ( ~ ( ~ sK16_REN
| ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK14_SY209 )
| ~ ( sK3_SY57 @ sK15_SY227 ) )
| ~ ( ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ sK14_SY209 @ sK15_SY227 ) ) )
!= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK14_SY209 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ sK15_SY227 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SX0 @ SX1 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SX0 ) @ ( sK2_SY29 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ~ ( ~ ! [SX0: b] :
( ~ ( sK5_SY110 @ SX0 )
| ( sK7_SY159 @ ( sK2_SY29 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK7_SY159 @ SX0 )
| ~ ( sK7_SY159 @ SX1 )
| ( sK7_SY159 @ ( sK8_SY182 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(27,plain,
( ( sK16_REN
| ~ ( ~ ( sK3_SY57 @ sK13_SY187 )
| ~ ~ ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) ) )
| ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) )
| ~ ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
| ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ sK16_REN
| ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK14_SY209 )
| ~ ( sK3_SY57 @ sK15_SY227 ) )
| ~ ( ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ sK14_SY209 @ sK15_SY227 ) ) )
!= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK14_SY209 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ sK15_SY227 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(29,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SX0 @ SX1 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SX0 ) @ ( sK2_SY29 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(30,plain,
( ( ~ ( ~ ! [SX0: b] :
( ~ ( sK5_SY110 @ SX0 )
| ( sK7_SY159 @ ( sK2_SY29 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK7_SY159 @ SX0 )
| ~ ( sK7_SY159 @ SX1 )
| ( sK7_SY159 @ ( sK8_SY182 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(31,plain,
( ( sK16_REN = $true )
| ( ( ~ ( ~ ( sK3_SY57 @ sK13_SY187 )
| ~ ~ ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) ) )
| ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) )
| ~ ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
| ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(32,plain,
( ( ( ~ sK16_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK14_SY209 )
| ~ ( sK3_SY57 @ sK15_SY227 ) )
| ~ ( ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ sK14_SY209 @ sK15_SY227 ) ) )
!= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK14_SY209 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ sK15_SY227 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV1: b] :
( ( ! [SY228: b] :
( ~ ( sK5_SY110 @ SV1 )
| ~ ( sK5_SY110 @ SY228 )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SV1 @ SY228 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV1 ) @ ( sK2_SY29 @ SY228 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(34,plain,
( ( ~ ! [SX0: b] :
( ~ ( sK5_SY110 @ SX0 )
| ( sK7_SY159 @ ( sK2_SY29 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK7_SY159 @ SX0 )
| ~ ( sK7_SY159 @ SX1 )
| ( sK7_SY159 @ ( sK8_SY182 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(35,plain,
( ( ( ~ ( ~ ( sK3_SY57 @ sK13_SY187 )
| ~ ~ ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) )
| ~ ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
| ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(36,plain,
( ( sK16_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK14_SY209 )
| ~ ( sK3_SY57 @ sK15_SY227 ) )
| ~ ( ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ sK14_SY209 @ sK15_SY227 ) ) )
!= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK14_SY209 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ sK15_SY227 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV2: b,SV1: b] :
( ( ~ ( sK5_SY110 @ SV1 )
| ~ ( sK5_SY110 @ SV2 )
| ( ( sK2_SY29 @ ( sK6_SY135 @ SV1 @ SV2 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV1 ) @ ( sK2_SY29 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(38,plain,
( ( ~ ! [SX0: b] :
( ~ ( sK5_SY110 @ SX0 )
| ( sK7_SY159 @ ( sK2_SY29 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(39,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK7_SY159 @ SX0 )
| ~ ( sK7_SY159 @ SX1 )
| ( sK7_SY159 @ ( sK8_SY182 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(40,plain,
( ( ( ~ ( sK3_SY57 @ sK13_SY187 )
| ~ ~ ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) )
| ~ ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
| ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(41,plain,
( ( ( ~ ~ ( ~ ( sK3_SY57 @ sK14_SY209 )
| ~ ( sK3_SY57 @ sK15_SY227 ) )
| ~ ( ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ sK14_SY209 @ sK15_SY227 ) ) )
!= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK14_SY209 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ sK15_SY227 ) ) ) ) ) )
= $false )
| ( sK16_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(42,plain,
! [SV2: b,SV1: b] :
( ( ( ~ ( sK5_SY110 @ SV1 )
| ~ ( sK5_SY110 @ SV2 ) )
= $true )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV1 @ SV2 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV1 ) @ ( sK2_SY29 @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(43,plain,
( ( ! [SX0: b] :
( ~ ( sK5_SY110 @ SX0 )
| ( sK7_SY159 @ ( sK2_SY29 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(44,plain,
( ( ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK7_SY159 @ SX0 )
| ~ ( sK7_SY159 @ SX1 )
| ( sK7_SY159 @ ( sK8_SY182 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(45,plain,
( ( ( ~ ( sK3_SY57 @ sK13_SY187 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) )
| ~ ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
| ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(46,plain,
( ( ( ~ ~ ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) )
| ~ ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
| ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(47,plain,
( ( ( ~ ~ ( ~ ( sK3_SY57 @ sK14_SY209 )
| ~ ( sK3_SY57 @ sK15_SY227 ) ) )
= $false )
| ( sK16_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(48,plain,
( ( ( ~ ( ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ sK14_SY209 @ sK15_SY227 ) ) )
!= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK14_SY209 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ sK15_SY227 ) ) ) ) ) )
= $false )
| ( sK16_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(49,plain,
! [SV2: b,SV1: b] :
( ( ( ~ ( sK5_SY110 @ SV1 ) )
= $true )
| ( ( ~ ( sK5_SY110 @ SV2 ) )
= $true )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV1 @ SV2 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV1 ) @ ( sK2_SY29 @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(50,plain,
! [SV3: b] :
( ( ~ ( sK5_SY110 @ SV3 )
| ( sK7_SY159 @ ( sK2_SY29 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(51,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK7_SY159 @ SX0 )
| ~ ( sK7_SY159 @ SX1 )
| ( sK7_SY159 @ ( sK8_SY182 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(52,plain,
( ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) )
| ~ ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
| ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(53,plain,
( ( ( ~ ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) )
| ~ ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
| ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(54,plain,
( ( ( ~ ( ~ ( sK3_SY57 @ sK14_SY209 )
| ~ ( sK3_SY57 @ sK15_SY227 ) ) )
= $true )
| ( sK16_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(55,plain,
( ( ( ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ sK14_SY209 @ sK15_SY227 ) ) )
!= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK14_SY209 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ sK15_SY227 ) ) ) ) )
= $true )
| ( sK16_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(56,plain,
! [SV2: b,SV1: b] :
( ( ( sK5_SY110 @ SV1 )
= $false )
| ( ( ~ ( sK5_SY110 @ SV2 ) )
= $true )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV1 @ SV2 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV1 ) @ ( sK2_SY29 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(57,plain,
! [SV3: b] :
( ( ( ~ ( sK5_SY110 @ SV3 ) )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(58,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK7_SY159 @ SX0 )
| ~ ( sK7_SY159 @ SX1 )
| ( sK7_SY159 @ ( sK8_SY182 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(59,plain,
( ( ~ ~ ( ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(60,plain,
( ( ( ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) )
| ~ ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(61,plain,
( ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) )
| ~ ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
| ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(62,plain,
( ( ( ~ ( sK3_SY57 @ sK14_SY209 )
| ~ ( sK3_SY57 @ sK15_SY227 ) )
= $false )
| ( sK16_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(63,plain,
( ( ( ( sK2_SY29 @ ( sK1_Xh1 @ ( sK4_SY84 @ sK14_SY209 @ sK15_SY227 ) ) )
= ( sK8_SY182 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK14_SY209 ) ) @ ( sK2_SY29 @ ( sK1_Xh1 @ sK15_SY227 ) ) ) )
= $false )
| ( sK16_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(64,plain,
! [SV1: b,SV2: b] :
( ( ( sK5_SY110 @ SV2 )
= $false )
| ( ( sK5_SY110 @ SV1 )
= $false )
| ( ( ( sK2_SY29 @ ( sK6_SY135 @ SV1 @ SV2 ) )
= ( sK8_SY182 @ ( sK2_SY29 @ SV1 ) @ ( sK2_SY29 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(65,plain,
! [SV3: b] :
( ( ( sK5_SY110 @ SV3 )
= $false )
| ( ( sK7_SY159 @ ( sK2_SY29 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(66,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK7_SY159 @ SX0 )
| ~ ( sK7_SY159 @ SX1 )
| ( sK7_SY159 @ ( sK8_SY182 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(67,plain,
( ( ~ ( ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(68,plain,
( ( ( ~ ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) )
| ~ ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(69,plain,
( ( ( ~ ( ~ ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) )
| ~ ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(70,plain,
( ( ( ~ ( sK3_SY57 @ sK14_SY209 ) )
= $false )
| ( sK16_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(71,plain,
( ( ( ~ ( sK3_SY57 @ sK15_SY227 ) )
= $false )
| ( sK16_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(72,plain,
! [SV4: a] :
( ( ! [SY229: a] :
( ~ ( sK7_SY159 @ SV4 )
| ~ ( sK7_SY159 @ SY229 )
| ( sK7_SY159 @ ( sK8_SY182 @ SV4 @ SY229 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(73,plain,
( ( ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(74,plain,
( ( ( ~ ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(75,plain,
( ( ( ~ ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(76,plain,
( ( ( ~ ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) )
| ~ ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(77,plain,
( ( ( sK3_SY57 @ sK14_SY209 )
= $true )
| ( sK16_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(78,plain,
( ( ( sK3_SY57 @ sK15_SY227 )
= $true )
| ( sK16_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(79,plain,
! [SV5: a,SV4: a] :
( ( ~ ( sK7_SY159 @ SV4 )
| ~ ( sK7_SY159 @ SV5 )
| ( sK7_SY159 @ ( sK8_SY182 @ SV4 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(80,plain,
( ( ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(81,plain,
( ( ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(82,plain,
( ( ( ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(83,plain,
( ( ( ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(84,plain,
( ( ( ~ ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(85,plain,
( ( ( ~ ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(86,plain,
! [SV5: a,SV4: a] :
( ( ( ~ ( sK7_SY159 @ SV4 )
| ~ ( sK7_SY159 @ SV5 ) )
= $true )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV4 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(87,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(88,plain,
( ( ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(89,plain,
( ( ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(90,plain,
( ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(91,plain,
( ( ( ~ ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(92,plain,
( ( ( ~ ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(93,plain,
! [SV5: a,SV4: a] :
( ( ( ~ ( sK7_SY159 @ SV4 ) )
= $true )
| ( ( ~ ( sK7_SY159 @ SV5 ) )
= $true )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV4 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(94,plain,
! [SV6: b] :
( ( ! [SY230: b] :
( ~ ( sK5_SY110 @ SV6 )
| ~ ( sK5_SY110 @ SY230 )
| ( sK5_SY110 @ ( sK6_SY135 @ SV6 @ SY230 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(95,plain,
( ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(96,plain,
( ( ( ~ ( sK3_SY57 @ sK11_SY114 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(97,plain,
( ( ( ~ ( sK3_SY57 @ sK12_SY226 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(98,plain,
( ( ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(99,plain,
( ( ( ~ ( sK3_SY57 @ sK11_SY114 )
| ~ ( sK3_SY57 @ sK12_SY226 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(100,plain,
( ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(101,plain,
! [SV5: a,SV4: a] :
( ( ( sK7_SY159 @ SV4 )
= $false )
| ( ( ~ ( sK7_SY159 @ SV5 ) )
= $true )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV4 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(102,plain,
! [SV7: b,SV6: b] :
( ( ~ ( sK5_SY110 @ SV6 )
| ~ ( sK5_SY110 @ SV7 )
| ( sK5_SY110 @ ( sK6_SY135 @ SV6 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(103,plain,
( ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(104,plain,
( ( ~ ~ ( ~ ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(105,plain,
( ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(106,plain,
( ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(107,plain,
( ( ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) ) )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(108,plain,
( ( ( ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(109,plain,
( ( ( ~ ( sK3_SY57 @ sK11_SY114 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(110,plain,
( ( ( ~ ( sK3_SY57 @ sK12_SY226 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(111,plain,
( ( ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(112,plain,
! [SV4: a,SV5: a] :
( ( ( sK7_SY159 @ SV5 )
= $false )
| ( ( sK7_SY159 @ SV4 )
= $false )
| ( ( sK7_SY159 @ ( sK8_SY182 @ SV4 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(113,plain,
! [SV7: b,SV6: b] :
( ( ( ~ ( sK5_SY110 @ SV6 )
| ~ ( sK5_SY110 @ SV7 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV6 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(114,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SX0 @ SX1 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SX0 ) @ ( sK1_Xh1 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(115,plain,
( ( ~ ( ~ ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(116,plain,
( ( ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) )
= $false )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(117,plain,
( ( ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) )
= $false )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(118,plain,
( ( ( ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(119,plain,
( ( ( ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(120,plain,
( ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(121,plain,
( ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) ) )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(122,plain,
( ( ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) ) )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(123,plain,
( ( ( ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(124,plain,
! [SV7: b,SV6: b] :
( ( ( ~ ( sK5_SY110 @ SV6 ) )
= $true )
| ( ( ~ ( sK5_SY110 @ SV7 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV6 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(125,plain,
! [SV8: g] :
( ( ! [SY231: g] :
( ~ ( sK3_SY57 @ SV8 )
| ~ ( sK3_SY57 @ SY231 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SV8 @ SY231 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV8 ) @ ( sK1_Xh1 @ SY231 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(126,plain,
( ( ~ ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(127,plain,
( ( ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) ) )
= $false )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(128,plain,
( ( ( ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) )
= $false )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(129,plain,
( ( ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) ) )
= $false )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(130,plain,
( ( ( ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) )
= $false )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(131,plain,
( ( ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(132,plain,
( ( ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(133,plain,
( ( ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) )
= $false )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(134,plain,
( ( ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
| ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) )
= $false )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(135,plain,
( ( ( ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(136,plain,
( ( ( ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(137,plain,
! [SV7: b,SV6: b] :
( ( ( sK5_SY110 @ SV6 )
= $false )
| ( ( ~ ( sK5_SY110 @ SV7 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV6 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(138,plain,
! [SV9: g,SV8: g] :
( ( ~ ( sK3_SY57 @ SV8 )
| ~ ( sK3_SY57 @ SV9 )
| ( ( sK1_Xh1 @ ( sK4_SY84 @ SV8 @ SV9 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV8 ) @ ( sK1_Xh1 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(139,plain,
( ( ~ ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(140,plain,
( ( ~ ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(141,plain,
( ( ( ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) ) )
= $true )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(142,plain,
( ( ( ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) )
= $true )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(143,plain,
( ( ( ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) ) )
= $true )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(144,plain,
( ( ( ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) )
= $true )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(145,plain,
( ( ( ~ ( sK7_SY159 @ sK9_SY206 ) )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(146,plain,
( ( ( ~ ( sK7_SY159 @ sK10_SY225 ) )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(147,plain,
( ( ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) ) )
= $false )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(148,plain,
( ( ( ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) )
= $false )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(149,plain,
( ( ( ~ ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) ) )
= $false )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(150,plain,
( ( ( ~ ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) )
= $false )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(151,plain,
( ( ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(152,plain,
( ( ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(153,plain,
! [SV6: b,SV7: b] :
( ( ( sK5_SY110 @ SV7 )
= $false )
| ( ( sK5_SY110 @ SV6 )
= $false )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV6 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(154,plain,
! [SV9: g,SV8: g] :
( ( ( ~ ( sK3_SY57 @ SV8 )
| ~ ( sK3_SY57 @ SV9 ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV8 @ SV9 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV8 ) @ ( sK1_Xh1 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(155,plain,
( ( ! [SX0: g] :
( ~ ( sK3_SY57 @ SX0 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(156,plain,
( ( ~ ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(157,plain,
( ( ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
= $false )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(158,plain,
( ( ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) )
= $false )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(159,plain,
( ( ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
= $false )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(160,plain,
( ( ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) )
= $false )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(161,plain,
( ( ( sK7_SY159 @ sK9_SY206 )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(162,plain,
( ( ( sK7_SY159 @ sK10_SY225 )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(163,plain,
( ( ( ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) ) )
= $true )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(164,plain,
( ( ( ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) )
= $true )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(165,plain,
( ( ( ~ ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) ) )
= $true )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(166,plain,
( ( ( ~ ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) ) )
= $true )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(167,plain,
( ( ( ~ ( sK7_SY159 @ sK9_SY206 ) )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(168,plain,
( ( ( ~ ( sK7_SY159 @ sK10_SY225 ) )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(169,plain,
! [SV9: g,SV8: g] :
( ( ( ~ ( sK3_SY57 @ SV8 ) )
= $true )
| ( ( ~ ( sK3_SY57 @ SV9 ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV8 @ SV9 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV8 ) @ ( sK1_Xh1 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(170,plain,
! [SV10: g] :
( ( ~ ( sK3_SY57 @ SV10 )
| ( sK5_SY110 @ ( sK1_Xh1 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(171,plain,
( ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(172,plain,
( ( ( ~ ( sK7_SY159 @ sK9_SY206 ) )
= $false )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(173,plain,
( ( ( ~ ( sK7_SY159 @ sK10_SY225 ) )
= $false )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(174,plain,
( ( ( ~ ( sK7_SY159 @ sK9_SY206 ) )
= $false )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(175,plain,
( ( ( ~ ( sK7_SY159 @ sK10_SY225 ) )
= $false )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(176,plain,
( ( ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
= $false )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(177,plain,
( ( ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) )
= $false )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(178,plain,
( ( ( ~ ( sK7_SY159 @ sK9_SY206 )
| ~ ( sK7_SY159 @ sK10_SY225 ) )
= $false )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(179,plain,
( ( ( sK7_SY159 @ ( sK8_SY182 @ sK9_SY206 @ sK10_SY225 ) )
= $false )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(180,plain,
( ( ( sK7_SY159 @ sK9_SY206 )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(181,plain,
( ( ( sK7_SY159 @ sK10_SY225 )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ sK11_SY114 @ sK12_SY226 ) )
= $false )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(182,plain,
! [SV9: g,SV8: g] :
( ( ( sK3_SY57 @ SV8 )
= $false )
| ( ( ~ ( sK3_SY57 @ SV9 ) )
= $true )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV8 @ SV9 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV8 ) @ ( sK1_Xh1 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(183,plain,
! [SV10: g] :
( ( ( ~ ( sK3_SY57 @ SV10 ) )
= $true )
| ( ( sK5_SY110 @ ( sK1_Xh1 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(184,plain,
( ( ~ ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(185,plain,
( ( ~ ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(186,plain,
( ( ( sK7_SY159 @ sK9_SY206 )
= $true )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(187,plain,
( ( ( sK7_SY159 @ sK10_SY225 )
= $true )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(188,plain,
( ( ( sK7_SY159 @ sK9_SY206 )
= $true )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(189,plain,
( ( ( sK7_SY159 @ sK10_SY225 )
= $true )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK3_SY57 @ sK13_SY187 )
= $true )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(190,plain,
( ( ( ~ ( sK7_SY159 @ sK9_SY206 ) )
= $false )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(191,plain,
( ( ( ~ ( sK7_SY159 @ sK10_SY225 ) )
= $false )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(192,plain,
( ( ( ~ ( sK7_SY159 @ sK9_SY206 ) )
= $false )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(193,plain,
( ( ( ~ ( sK7_SY159 @ sK10_SY225 ) )
= $false )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(194,plain,
! [SV8: g,SV9: g] :
( ( ( sK3_SY57 @ SV9 )
= $false )
| ( ( sK3_SY57 @ SV8 )
= $false )
| ( ( ( sK1_Xh1 @ ( sK4_SY84 @ SV8 @ SV9 ) )
= ( sK6_SY135 @ ( sK1_Xh1 @ SV8 ) @ ( sK1_Xh1 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(195,plain,
! [SV10: g] :
( ( ( sK3_SY57 @ SV10 )
= $false )
| ( ( sK5_SY110 @ ( sK1_Xh1 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(196,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ( sK3_SY57 @ SX0 )
| ~ ( sK3_SY57 @ SX1 )
| ( sK3_SY57 @ ( sK4_SY84 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(197,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ( sK5_SY110 @ SX0 )
| ~ ( sK5_SY110 @ SX1 )
| ( sK5_SY110 @ ( sK6_SY135 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(198,plain,
( ( ( sK7_SY159 @ sK9_SY206 )
= $true )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(199,plain,
( ( ( sK7_SY159 @ sK10_SY225 )
= $true )
| ( ( sK3_SY57 @ sK11_SY114 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(200,plain,
( ( ( sK7_SY159 @ sK9_SY206 )
= $true )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(201,plain,
( ( ( sK7_SY159 @ sK10_SY225 )
= $true )
| ( ( sK3_SY57 @ sK12_SY226 )
= $true )
| ( ( sK7_SY159 @ ( sK2_SY29 @ ( sK1_Xh1 @ sK13_SY187 ) ) )
= $false )
| ( sK16_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(202,plain,
! [SV11: g] :
( ( ! [SY232: g] :
( ~ ( sK3_SY57 @ SV11 )
| ~ ( sK3_SY57 @ SY232 )
| ( sK3_SY57 @ ( sK4_SY84 @ SV11 @ SY232 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(203,plain,
! [SV12: b] :
( ( ! [SY233: b] :
( ~ ( sK5_SY110 @ SV12 )
| ~ ( sK5_SY110 @ SY233 )
| ( sK5_SY110 @ ( sK6_SY135 @ SV12 @ SY233 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(204,plain,
! [SV13: g,SV11: g] :
( ( ~ ( sK3_SY57 @ SV11 )
| ~ ( sK3_SY57 @ SV13 )
| ( sK3_SY57 @ ( sK4_SY84 @ SV11 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(205,plain,
! [SV14: b,SV12: b] :
( ( ~ ( sK5_SY110 @ SV12 )
| ~ ( sK5_SY110 @ SV14 )
| ( sK5_SY110 @ ( sK6_SY135 @ SV12 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(206,plain,
! [SV13: g,SV11: g] :
( ( ( ~ ( sK3_SY57 @ SV11 )
| ~ ( sK3_SY57 @ SV13 ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV11 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(207,plain,
! [SV14: b,SV12: b] :
( ( ( ~ ( sK5_SY110 @ SV12 )
| ~ ( sK5_SY110 @ SV14 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV12 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(208,plain,
! [SV13: g,SV11: g] :
( ( ( ~ ( sK3_SY57 @ SV11 ) )
= $true )
| ( ( ~ ( sK3_SY57 @ SV13 ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV11 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(209,plain,
! [SV14: b,SV12: b] :
( ( ( ~ ( sK5_SY110 @ SV12 ) )
= $true )
| ( ( ~ ( sK5_SY110 @ SV14 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV12 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(210,plain,
! [SV13: g,SV11: g] :
( ( ( sK3_SY57 @ SV11 )
= $false )
| ( ( ~ ( sK3_SY57 @ SV13 ) )
= $true )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV11 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(211,plain,
! [SV14: b,SV12: b] :
( ( ( sK5_SY110 @ SV12 )
= $false )
| ( ( ~ ( sK5_SY110 @ SV14 ) )
= $true )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV12 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(212,plain,
! [SV11: g,SV13: g] :
( ( ( sK3_SY57 @ SV13 )
= $false )
| ( ( sK3_SY57 @ SV11 )
= $false )
| ( ( sK3_SY57 @ ( sK4_SY84 @ SV11 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(213,plain,
! [SV12: b,SV14: b] :
( ( ( sK5_SY110 @ SV14 )
= $false )
| ( ( sK5_SY110 @ SV12 )
= $false )
| ( ( sK5_SY110 @ ( sK6_SY135 @ SV12 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(214,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[63,213,212,201,200,199,198,195,194,189,188,187,186,181,180,179,177,162,161,160,158,153,152,132,112,78,77,65,64]) ).
thf(215,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU905^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n016.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 : Sun Jun 19 15:03:39 EDT 2022
% 0.18/0.34 % CPUTime :
% 0.18/0.39
% 0.18/0.39 No.of.Axioms: 0
% 0.18/0.39
% 0.18/0.39 Length.of.Defs: 0
% 0.18/0.39
% 0.18/0.39 Contains.Choice.Funs: false
% 0.18/0.44 (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)..............
% 0.41/0.62
% 0.41/0.62 ********************************
% 0.41/0.62 * All subproblems solved! *
% 0.41/0.62 ********************************
% 0.41/0.62 % 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:214,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.41/0.64
% 0.41/0.64 %**** Beginning of derivation protocol ****
% 0.41/0.64 % SZS output start CNFRefutation
% See solution above
% 0.41/0.64
% 0.41/0.64 %**** End of derivation protocol ****
% 0.41/0.64 %**** no. of clauses in derivation: 215 ****
% 0.41/0.64 %**** clause counter: 214 ****
% 0.41/0.64
% 0.41/0.64 % 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:214,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------