TSTP Solution File: SEV040^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV040^5 : 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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 17:34:28 EDT 2022
% Result : Theorem 0.19s 0.58s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 41
% Syntax : Number of formulae : 470 ( 105 unt; 40 typ; 0 def)
% Number of atoms : 4188 (1336 equ; 0 cnn)
% Maximal formula atoms : 6 ( 9 avg)
% Number of connectives : 5630 (1031 ~;1105 |; 146 &;3268 @)
% ( 0 <=>; 80 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 100 ( 100 >; 0 *; 0 +; 0 <<)
% Number of symbols : 42 ( 39 usr; 36 con; 0-2 aty)
% Number of variables : 679 ( 20 ^ 659 !; 0 ?; 679 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK10_SY86,type,
sK10_SY86: a > a > $o ).
thf(tp_sK11_SY83,type,
sK11_SY83: a ).
thf(tp_sK12_SY117,type,
sK12_SY117: a ).
thf(tp_sK13_SY119,type,
sK13_SY119: a ).
thf(tp_sK14_SY81,type,
sK14_SY81: a ).
thf(tp_sK15_SY120,type,
sK15_SY120: a ).
thf(tp_sK16_SV10,type,
sK16_SV10: a ).
thf(tp_sK17_SV11,type,
sK17_SV11: a ).
thf(tp_sK18_SV12,type,
sK18_SV12: a ).
thf(tp_sK19_SV13,type,
sK19_SV13: a ).
thf(tp_sK1_Xx,type,
sK1_Xx: a > a > $o ).
thf(tp_sK20_SV14,type,
sK20_SV14: a ).
thf(tp_sK21_SV15,type,
sK21_SV15: a ).
thf(tp_sK22_SV16,type,
sK22_SV16: a ).
thf(tp_sK23_SV17,type,
sK23_SV17: a ).
thf(tp_sK24_SV18,type,
sK24_SV18: a ).
thf(tp_sK25_SV19,type,
sK25_SV19: a ).
thf(tp_sK26_SV20,type,
sK26_SV20: a ).
thf(tp_sK27_SV21,type,
sK27_SV21: a ).
thf(tp_sK28_SV31,type,
sK28_SV31: a ).
thf(tp_sK29_SV32,type,
sK29_SV32: a ).
thf(tp_sK2_SY44,type,
sK2_SY44: a > a > $o ).
thf(tp_sK30_SV34,type,
sK30_SV34: a ).
thf(tp_sK31_SV35,type,
sK31_SV35: a ).
thf(tp_sK32_SV36,type,
sK32_SV36: a ).
thf(tp_sK33_SV38,type,
sK33_SV38: a ).
thf(tp_sK34_SV39,type,
sK34_SV39: a ).
thf(tp_sK35_SV40,type,
sK35_SV40: a ).
thf(tp_sK36_SV42,type,
sK36_SV42: a ).
thf(tp_sK37_SV43,type,
sK37_SV43: a ).
thf(tp_sK38_SV47,type,
sK38_SV47: a ).
thf(tp_sK39_SV48,type,
sK39_SV48: a ).
thf(tp_sK3_SY62,type,
sK3_SY62: a ).
thf(tp_sK4_SY65,type,
sK4_SY65: a ).
thf(tp_sK5_SY67,type,
sK5_SY67: a ).
thf(tp_sK6_SY60,type,
sK6_SY60: a ).
thf(tp_sK7_SY68,type,
sK7_SY68: a ).
thf(tp_sK8_Xx,type,
sK8_Xx: a > a > $o ).
thf(tp_sK9_SY69,type,
sK9_SY69: a > a > $o ).
thf(1,conjecture,
( ! [Xx: a > a > $o,Xy: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xx @ Xx0 @ Xy0 )
& ( Xx @ Xy0 @ Xz ) )
=> ( Xx @ Xx0 @ Xz ) )
& ( Xx = Xy ) )
=> ( ! [Xx0: a,Xy0: a] :
( ( Xy @ Xx0 @ Xy0 )
=> ( Xy @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xy @ Xx0 @ Xy0 )
& ( Xy @ Xy0 @ Xz ) )
=> ( Xy @ Xx0 @ Xz ) )
& ( Xy = Xx ) ) )
& ! [Xx: a > a > $o,Xy: a > a > $o,Xz: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xx @ Xx0 @ Xy0 )
& ( Xx @ Xy0 @ Xz0 ) )
=> ( Xx @ Xx0 @ Xz0 ) )
& ( Xx = Xy )
& ! [Xx0: a,Xy0: a] :
( ( Xy @ Xx0 @ Xy0 )
=> ( Xy @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xy @ Xx0 @ Xy0 )
& ( Xy @ Xy0 @ Xz0 ) )
=> ( Xy @ Xx0 @ Xz0 ) )
& ( Xy = Xz ) )
=> ( ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xx @ Xx0 @ Xy0 )
& ( Xx @ Xy0 @ Xz0 ) )
=> ( Xx @ Xx0 @ Xz0 ) )
& ( Xx = Xz ) ) )
& ( ( ^ [Xp: a > a > $o,Xq: a > a > $o] :
( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) )
& ( Xp = Xq ) ) )
= ( ^ [Xp: a > a > $o,Xq: a > a > $o] :
( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) )
& ( Xp = Xq ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM515_pme) ).
thf(2,negated_conjecture,
( ( ! [Xx: a > a > $o,Xy: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xx @ Xx0 @ Xy0 )
& ( Xx @ Xy0 @ Xz ) )
=> ( Xx @ Xx0 @ Xz ) )
& ( Xx = Xy ) )
=> ( ! [Xx0: a,Xy0: a] :
( ( Xy @ Xx0 @ Xy0 )
=> ( Xy @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xy @ Xx0 @ Xy0 )
& ( Xy @ Xy0 @ Xz ) )
=> ( Xy @ Xx0 @ Xz ) )
& ( Xy = Xx ) ) )
& ! [Xx: a > a > $o,Xy: a > a > $o,Xz: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xx @ Xx0 @ Xy0 )
& ( Xx @ Xy0 @ Xz0 ) )
=> ( Xx @ Xx0 @ Xz0 ) )
& ( Xx = Xy )
& ! [Xx0: a,Xy0: a] :
( ( Xy @ Xx0 @ Xy0 )
=> ( Xy @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xy @ Xx0 @ Xy0 )
& ( Xy @ Xy0 @ Xz0 ) )
=> ( Xy @ Xx0 @ Xz0 ) )
& ( Xy = Xz ) )
=> ( ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xx @ Xx0 @ Xy0 )
& ( Xx @ Xy0 @ Xz0 ) )
=> ( Xx @ Xx0 @ Xz0 ) )
& ( Xx = Xz ) ) )
& ( ( ^ [Xp: a > a > $o,Xq: a > a > $o] :
( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) )
& ( Xp = Xq ) ) )
= ( ^ [Xp: a > a > $o,Xq: a > a > $o] :
( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) )
& ( Xp = Xq ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xx: a > a > $o,Xy: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xx @ Xx0 @ Xy0 )
& ( Xx @ Xy0 @ Xz ) )
=> ( Xx @ Xx0 @ Xz ) )
& ( Xx = Xy ) )
=> ( ! [Xx0: a,Xy0: a] :
( ( Xy @ Xx0 @ Xy0 )
=> ( Xy @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xy @ Xx0 @ Xy0 )
& ( Xy @ Xy0 @ Xz ) )
=> ( Xy @ Xx0 @ Xz ) )
& ( Xy = Xx ) ) )
& ! [Xx: a > a > $o,Xy: a > a > $o,Xz: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xx @ Xx0 @ Xy0 )
& ( Xx @ Xy0 @ Xz0 ) )
=> ( Xx @ Xx0 @ Xz0 ) )
& ( Xx = Xy )
& ! [Xx0: a,Xy0: a] :
( ( Xy @ Xx0 @ Xy0 )
=> ( Xy @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xy @ Xx0 @ Xy0 )
& ( Xy @ Xy0 @ Xz0 ) )
=> ( Xy @ Xx0 @ Xz0 ) )
& ( Xy = Xz ) )
=> ( ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xx @ Xx0 @ Xy0 )
& ( Xx @ Xy0 @ Xz0 ) )
=> ( Xx @ Xx0 @ Xz0 ) )
& ( Xx = Xz ) ) )
& ( ( ^ [Xp: a > a > $o,Xq: a > a > $o] :
( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) )
& ( Xp = Xq ) ) )
= ( ^ [Xp: a > a > $o,Xq: a > a > $o] :
( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) )
& ( Xp = Xq ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xx: a > a > $o,Xy: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xx @ Xx0 @ Xy0 )
& ( Xx @ Xy0 @ Xz ) )
=> ( Xx @ Xx0 @ Xz ) )
& ( Xx = Xy ) )
=> ( ! [Xx0: a,Xy0: a] :
( ( Xy @ Xx0 @ Xy0 )
=> ( Xy @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xy @ Xx0 @ Xy0 )
& ( Xy @ Xy0 @ Xz ) )
=> ( Xy @ Xx0 @ Xz ) )
& ( Xy = Xx ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(5,plain,
( ( ! [Xx: a > a > $o,Xy: a > a > $o,Xz: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xx @ Xx0 @ Xy0 )
& ( Xx @ Xy0 @ Xz0 ) )
=> ( Xx @ Xx0 @ Xz0 ) )
& ( Xx = Xy )
& ! [Xx0: a,Xy0: a] :
( ( Xy @ Xx0 @ Xy0 )
=> ( Xy @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xy @ Xx0 @ Xy0 )
& ( Xy @ Xy0 @ Xz0 ) )
=> ( Xy @ Xx0 @ Xz0 ) )
& ( Xy = Xz ) )
=> ( ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xx @ Xx0 @ Xy0 )
& ( Xx @ Xy0 @ Xz0 ) )
=> ( Xx @ Xx0 @ Xz0 ) )
& ( Xx = Xz ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(6,plain,
( ( ( ^ [Xp: a > a > $o,Xq: a > a > $o] :
( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) )
& ( Xp = Xq ) ) )
= ( ^ [Xp: a > a > $o,Xq: a > a > $o] :
( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) )
& ( Xp = Xq ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(7,plain,
( ( ~ ! [Xx: a > a > $o,Xy: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xx @ Xx0 @ Xy0 )
& ( Xx @ Xy0 @ Xz ) )
=> ( Xx @ Xx0 @ Xz ) )
& ( Xx = Xy ) )
=> ( ! [Xx0: a,Xy0: a] :
( ( Xy @ Xx0 @ Xy0 )
=> ( Xy @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xy @ Xx0 @ Xy0 )
& ( Xy @ Xy0 @ Xz ) )
=> ( Xy @ Xx0 @ Xz ) )
& ( Xy = Xx ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(8,plain,
( ( ~ ! [Xx: a > a > $o,Xy: a > a > $o,Xz: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xx @ Xx0 @ Xy0 )
& ( Xx @ Xy0 @ Xz0 ) )
=> ( Xx @ Xx0 @ Xz0 ) )
& ( Xx = Xy )
& ! [Xx0: a,Xy0: a] :
( ( Xy @ Xx0 @ Xy0 )
=> ( Xy @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xy @ Xx0 @ Xy0 )
& ( Xy @ Xy0 @ Xz0 ) )
=> ( Xy @ Xx0 @ Xz0 ) )
& ( Xy = Xz ) )
=> ( ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xx @ Xx0 @ Xy0 )
& ( Xx @ Xy0 @ Xz0 ) )
=> ( Xx @ Xx0 @ Xz0 ) )
& ( Xx = Xz ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(9,plain,
( ( ( ( ^ [Xp: a > a > $o,Xq: a > a > $o] :
( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) )
& ( Xp = Xq ) ) )
!= ( ^ [Xp: a > a > $o,Xq: a > a > $o] :
( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) )
& ( Xp = Xq ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(10,plain,
( ( ! [SY45: a,SY46: a] :
( ~ ( sK1_Xx @ SY45 @ SY46 )
| ( sK1_Xx @ SY46 @ SY45 ) )
& ! [SY47: a,SY48: a,SY49: a] :
( ~ ( sK1_Xx @ SY47 @ SY48 )
| ~ ( sK1_Xx @ SY48 @ SY49 )
| ( sK1_Xx @ SY47 @ SY49 ) )
& ( sK1_Xx = sK2_SY44 )
& ( ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
& ~ ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 ) )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
& ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
& ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) )
| ( sK2_SY44 != sK1_Xx ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(11,plain,
( ( ! [SY87: a,SY88: a,SY89: a] :
( ~ ( sK9_SY69 @ SY87 @ SY88 )
| ~ ( sK9_SY69 @ SY88 @ SY89 )
| ( sK9_SY69 @ SY87 @ SY89 ) )
& ! [SY90: a,SY91: a] :
( ~ ( sK9_SY69 @ SY90 @ SY91 )
| ( sK9_SY69 @ SY91 @ SY90 ) )
& ! [SY76: a,SY77: a] :
( ~ ( sK8_Xx @ SY76 @ SY77 )
| ( sK8_Xx @ SY77 @ SY76 ) )
& ! [SY78: a,SY79: a,SY80: a] :
( ~ ( sK8_Xx @ SY78 @ SY79 )
| ~ ( sK8_Xx @ SY79 @ SY80 )
| ( sK8_Xx @ SY78 @ SY80 ) )
& ( sK8_Xx = sK9_SY69 )
& ( sK9_SY69 = sK10_SY86 )
& ( ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
& ~ ( sK8_Xx @ sK15_SY120 @ sK14_SY81 ) )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
& ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
& ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) )
| ( sK8_Xx != sK10_SY86 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(12,plain,
( ( ~ $true )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(13,plain,
( ( ! [SY45: a,SY46: a] :
( ~ ( sK1_Xx @ SY45 @ SY46 )
| ( sK1_Xx @ SY46 @ SY45 ) )
& ! [SY47: a,SY48: a,SY49: a] :
( ~ ( sK1_Xx @ SY47 @ SY48 )
| ~ ( sK1_Xx @ SY48 @ SY49 )
| ( sK1_Xx @ SY47 @ SY49 ) )
& ( sK1_Xx = sK2_SY44 )
& ( ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
& ~ ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 ) )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
& ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
& ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) )
| ( sK2_SY44 != sK1_Xx ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(14,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ( sK1_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ~ ( sK1_Xx @ SX1 @ SX2 )
| ( sK1_Xx @ SX0 @ SX2 ) ) )
| ( sK1_Xx != sK2_SY44 ) )
| ~ ( ~ ( ~ ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
| ~ ~ ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 ) )
| ~ ( ~ ~ ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) )
| ~ ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) )
| ( sK2_SY44 != sK1_Xx ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(15,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ( sK1_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ~ ( sK1_Xx @ SX1 @ SX2 )
| ( sK1_Xx @ SX0 @ SX2 ) ) )
| ( sK1_Xx != sK2_SY44 ) )
| ~ ( ~ ( ~ ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
| ~ ~ ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 ) )
| ~ ( ~ ~ ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) )
| ~ ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) )
| ( sK2_SY44 != sK1_Xx ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(16,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ( sK1_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ~ ( sK1_Xx @ SX1 @ SX2 )
| ( sK1_Xx @ SX0 @ SX2 ) ) )
| ( sK1_Xx != sK2_SY44 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(17,plain,
( ( ~ ( ~ ( ~ ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
| ~ ~ ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 ) )
| ~ ( ~ ~ ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) )
| ~ ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) )
| ( sK2_SY44 != sK1_Xx ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ( sK1_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ~ ( sK1_Xx @ SX1 @ SX2 )
| ( sK1_Xx @ SX0 @ SX2 ) ) )
| ( sK1_Xx != sK2_SY44 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ( ~ ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
| ~ ~ ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 ) )
| ~ ( ~ ~ ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) )
| ~ ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) )
| ( sK2_SY44 != sK1_Xx ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ( sK1_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ~ ( sK1_Xx @ SX1 @ SX2 )
| ( sK1_Xx @ SX0 @ SX2 ) ) )
| ( sK1_Xx != sK2_SY44 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(21,plain,
( ( ( ~ ( ~ ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
| ~ ~ ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 ) )
| ~ ( ~ ~ ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) )
| ~ ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) ) )
= $true )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(22,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ( sK1_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ~ ( sK1_Xx @ SX1 @ SX2 )
| ( sK1_Xx @ SX0 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(23,plain,
( ( ( sK1_Xx != sK2_SY44 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(24,plain,
( ( ( ~ ( ~ ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
| ~ ~ ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) )
| ~ ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) ) )
= $true )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ( sK1_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ~ ( sK1_Xx @ SX1 @ SX2 )
| ( sK1_Xx @ SX0 @ SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(26,plain,
( ( sK1_Xx = sK2_SY44 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(27,plain,
( ( ( ~ ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
| ~ ~ ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) )
| ~ ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) ) )
= $true )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ( sK1_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ~ ( sK1_Xx @ SX1 @ SX2 )
| ( sK1_Xx @ SX0 @ SX2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(29,plain,
( ( ! [SV1: a] :
( ( sK1_Xx @ SV1 )
= ( sK2_SY44 @ SV1 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[26]) ).
thf(30,plain,
( ( sK1_Xx = sK2_SY44 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[26]) ).
thf(31,plain,
( ( ( ~ ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) )
| ~ ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) ) )
= $true )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(32,plain,
( ( ( ~ ~ ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) )
| ~ ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) ) )
= $true )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(33,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ( sK1_Xx @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ~ ( sK1_Xx @ SX1 @ SX2 )
| ( sK1_Xx @ SX0 @ SX2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(35,plain,
! [SV2: a] :
( ( ( sK1_Xx @ SV2 )
= ( sK2_SY44 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(36,plain,
( ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) )
| ~ ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) ) )
= $true )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(37,plain,
( ( ( ~ ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) )
| ~ ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) ) )
= $true )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(38,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ( sK1_Xx @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(39,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK1_Xx @ SX0 @ SX1 )
| ~ ( sK1_Xx @ SX1 @ SX2 )
| ( sK1_Xx @ SX0 @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(40,plain,
! [SV2: a] :
( ( ! [SV3: a] :
( ( sK1_Xx @ SV2 @ SV3 )
= ( sK2_SY44 @ SV2 @ SV3 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[35]) ).
thf(41,plain,
! [SV2: a] :
( ( ( sK1_Xx @ SV2 )
= ( sK2_SY44 @ SV2 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[35]) ).
thf(42,plain,
( ( ( ~ ~ ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) )
| ~ ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(43,plain,
( ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) )
| ~ ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) ) )
= $true )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(44,plain,
! [SV4: a] :
( ( ! [SY121: a] :
( ~ ( sK1_Xx @ SV4 @ SY121 )
| ( sK1_Xx @ SY121 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(45,plain,
! [SV5: a] :
( ( ! [SY122: a,SY123: a] :
( ~ ( sK1_Xx @ SV5 @ SY122 )
| ~ ( sK1_Xx @ SY122 @ SY123 )
| ( sK1_Xx @ SV5 @ SY123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(46,plain,
! [SV6: a,SV2: a] :
( ( ( sK1_Xx @ SV2 @ SV6 )
= ( sK2_SY44 @ SV2 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(47,plain,
( ( ( ~ ~ ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(48,plain,
( ( ( ~ ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(49,plain,
( ( ( ~ ~ ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) )
| ~ ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(50,plain,
! [SV7: a,SV4: a] :
( ( ~ ( sK1_Xx @ SV4 @ SV7 )
| ( sK1_Xx @ SV7 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(51,plain,
! [SV8: a,SV5: a] :
( ( ! [SY124: a] :
( ~ ( sK1_Xx @ SV5 @ SV8 )
| ~ ( sK1_Xx @ SV8 @ SY124 )
| ( sK1_Xx @ SV5 @ SY124 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(52,plain,
! [SV6: a,SV2: a] :
( ( ~ ( ( sK1_Xx @ SV2 @ SV6 )
| ( sK2_SY44 @ SV2 @ SV6 ) )
| ~ ( ~ ( sK1_Xx @ SV2 @ SV6 )
| ~ ( sK2_SY44 @ SV2 @ SV6 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[46]) ).
thf(53,plain,
! [SV6: a,SV2: a] :
( ( ( sK1_Xx @ SV2 @ SV6 )
= ( sK2_SY44 @ SV2 @ SV6 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[46]) ).
thf(54,plain,
( ( ( ~ ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) ) )
= $true )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(55,plain,
( ( ( ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) )
= $true )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(56,plain,
( ( ( ~ ~ ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(57,plain,
( ( ( ~ ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(58,plain,
! [SV7: a,SV4: a] :
( ( ( ~ ( sK1_Xx @ SV4 @ SV7 ) )
= $true )
| ( ( sK1_Xx @ SV7 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(59,plain,
! [SV9: a,SV8: a,SV5: a] :
( ( ~ ( sK1_Xx @ SV5 @ SV8 )
| ~ ( sK1_Xx @ SV8 @ SV9 )
| ( sK1_Xx @ SV5 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(60,plain,
! [SV6: a,SV2: a] :
( ( ( ~ ( ( sK1_Xx @ SV2 @ SV6 )
| ( sK2_SY44 @ SV2 @ SV6 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_Xx @ SV2 @ SV6 )
| ~ ( sK2_SY44 @ SV2 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(61,plain,
( ( ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(62,plain,
( ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(63,plain,
( ( ( ~ ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) ) )
= $true )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(64,plain,
( ( ( ~ ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 ) )
= $true )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(65,plain,
! [SV7: a,SV4: a] :
( ( ( sK1_Xx @ SV4 @ SV7 )
= $false )
| ( ( sK1_Xx @ SV7 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(66,plain,
! [SV9: a,SV8: a,SV5: a] :
( ( ( ~ ( sK1_Xx @ SV5 @ SV8 )
| ~ ( sK1_Xx @ SV8 @ SV9 ) )
= $true )
| ( ( sK1_Xx @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(67,plain,
! [SV6: a,SV2: a] :
( ( ( ( sK1_Xx @ SV2 @ SV6 )
| ( sK2_SY44 @ SV2 @ SV6 ) )
= $false )
| ( ( ~ ( ~ ( sK1_Xx @ SV2 @ SV6 )
| ~ ( sK2_SY44 @ SV2 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(68,plain,
( ( ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(69,plain,
( ( ( ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(70,plain,
( ( ( sK2_SY44 = sK1_Xx )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(71,plain,
( ( ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
| ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(72,plain,
( ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(73,plain,
! [SV9: a,SV8: a,SV5: a] :
( ( ( ~ ( sK1_Xx @ SV5 @ SV8 ) )
= $true )
| ( ( ~ ( sK1_Xx @ SV8 @ SV9 ) )
= $true )
| ( ( sK1_Xx @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(74,plain,
! [SV6: a,SV2: a] :
( ( ( sK1_Xx @ SV2 @ SV6 )
= $false )
| ( ( ~ ( ~ ( sK1_Xx @ SV2 @ SV6 )
| ~ ( sK2_SY44 @ SV2 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(75,plain,
! [SV6: a,SV2: a] :
( ( ( sK2_SY44 @ SV2 @ SV6 )
= $false )
| ( ( ~ ( ~ ( sK1_Xx @ SV2 @ SV6 )
| ~ ( sK2_SY44 @ SV2 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(76,plain,
( ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(77,plain,
( ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(78,plain,
( ( ( ! [SV10: a] :
( ( sK2_SY44 @ SV10 )
= ( sK1_Xx @ SV10 ) ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[70]) ).
thf(79,plain,
( ( ( sK2_SY44 = sK1_Xx )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[70]) ).
thf(80,plain,
( ( ( ~ ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(81,plain,
( ( ( ~ ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(82,plain,
( ( ( sK2_SY44 = sK1_Xx )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(83,plain,
! [SV9: a,SV8: a,SV5: a] :
( ( ( sK1_Xx @ SV5 @ SV8 )
= $false )
| ( ( ~ ( sK1_Xx @ SV8 @ SV9 ) )
= $true )
| ( ( sK1_Xx @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(84,plain,
! [SV6: a,SV2: a] :
( ( ( ~ ( sK1_Xx @ SV2 @ SV6 )
| ~ ( sK2_SY44 @ SV2 @ SV6 ) )
= $false )
| ( ( sK1_Xx @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(85,plain,
! [SV6: a,SV2: a] :
( ( ( ~ ( sK1_Xx @ SV2 @ SV6 )
| ~ ( sK2_SY44 @ SV2 @ SV6 ) )
= $false )
| ( ( sK2_SY44 @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(86,plain,
( ( ( sK2_SY44 = sK1_Xx )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(87,plain,
( ( ( sK2_SY44 = sK1_Xx )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(88,plain,
( ( ( ( sK2_SY44 @ sK16_SV10 )
= ( sK1_Xx @ sK16_SV10 ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[78]) ).
thf(89,plain,
( ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(90,plain,
( ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( ( sK2_SY44 != sK1_Xx ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(91,plain,
( ( ( ! [SV11: a] :
( ( sK2_SY44 @ SV11 )
= ( sK1_Xx @ SV11 ) ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[82]) ).
thf(92,plain,
( ( ( sK2_SY44 = sK1_Xx )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[82]) ).
thf(93,plain,
! [SV5: a,SV9: a,SV8: a] :
( ( ( sK1_Xx @ SV8 @ SV9 )
= $false )
| ( ( sK1_Xx @ SV5 @ SV8 )
= $false )
| ( ( sK1_Xx @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(94,plain,
! [SV6: a,SV2: a] :
( ( ( ~ ( sK1_Xx @ SV2 @ SV6 ) )
= $false )
| ( ( sK1_Xx @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(95,plain,
! [SV6: a,SV2: a] :
( ( ( ~ ( sK2_SY44 @ SV2 @ SV6 ) )
= $false )
| ( ( sK1_Xx @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(96,plain,
! [SV6: a,SV2: a] :
( ( ( ~ ( sK1_Xx @ SV2 @ SV6 ) )
= $false )
| ( ( sK2_SY44 @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(97,plain,
! [SV6: a,SV2: a] :
( ( ( ~ ( sK2_SY44 @ SV2 @ SV6 ) )
= $false )
| ( ( sK2_SY44 @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(98,plain,
( ( ( ! [SV12: a] :
( ( sK2_SY44 @ SV12 )
= ( sK1_Xx @ SV12 ) ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[86]) ).
thf(99,plain,
( ( ( sK2_SY44 = sK1_Xx )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[86]) ).
thf(100,plain,
( ( ( ! [SV13: a] :
( ( sK2_SY44 @ SV13 )
= ( sK1_Xx @ SV13 ) ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[87]) ).
thf(101,plain,
( ( ( sK2_SY44 = sK1_Xx )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[87]) ).
thf(102,plain,
( ( ( ! [SV14: a] :
( ( sK2_SY44 @ sK16_SV10 @ SV14 )
= ( sK1_Xx @ sK16_SV10 @ SV14 ) ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[88]) ).
thf(103,plain,
( ( ( ( sK2_SY44 @ sK16_SV10 )
= ( sK1_Xx @ sK16_SV10 ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[88]) ).
thf(104,plain,
( ( ( sK2_SY44 = sK1_Xx )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(105,plain,
( ( ( sK2_SY44 = sK1_Xx )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(106,plain,
( ( ( ( sK2_SY44 @ sK17_SV11 )
= ( sK1_Xx @ sK17_SV11 ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[91]) ).
thf(107,plain,
! [SV6: a,SV2: a] :
( ( ( sK1_Xx @ SV2 @ SV6 )
= $true )
| ( ( sK1_Xx @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(108,plain,
! [SV6: a,SV2: a] :
( ( ( sK2_SY44 @ SV2 @ SV6 )
= $true )
| ( ( sK1_Xx @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(109,plain,
! [SV6: a,SV2: a] :
( ( ( sK1_Xx @ SV2 @ SV6 )
= $true )
| ( ( sK2_SY44 @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(110,plain,
! [SV6: a,SV2: a] :
( ( ( sK2_SY44 @ SV2 @ SV6 )
= $true )
| ( ( sK2_SY44 @ SV2 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(111,plain,
( ( ( ( sK2_SY44 @ sK18_SV12 )
= ( sK1_Xx @ sK18_SV12 ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[98]) ).
thf(112,plain,
( ( ( ( sK2_SY44 @ sK19_SV13 )
= ( sK1_Xx @ sK19_SV13 ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[100]) ).
thf(113,plain,
( ( ( ( sK2_SY44 @ sK16_SV10 @ sK20_SV14 )
= ( sK1_Xx @ sK16_SV10 @ sK20_SV14 ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[102]) ).
thf(114,plain,
( ( ( ! [SV15: a] :
( ( sK2_SY44 @ SV15 )
= ( sK1_Xx @ SV15 ) ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[104]) ).
thf(115,plain,
( ( ( sK2_SY44 = sK1_Xx )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[104]) ).
thf(116,plain,
( ( ( ! [SV16: a] :
( ( sK2_SY44 @ SV16 )
= ( sK1_Xx @ SV16 ) ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[105]) ).
thf(117,plain,
( ( ( sK2_SY44 = sK1_Xx )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[105]) ).
thf(118,plain,
( ( ( ! [SV17: a] :
( ( sK2_SY44 @ sK17_SV11 @ SV17 )
= ( sK1_Xx @ sK17_SV11 @ SV17 ) ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[106]) ).
thf(119,plain,
( ( ( ( sK2_SY44 @ sK17_SV11 )
= ( sK1_Xx @ sK17_SV11 ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[106]) ).
thf(120,plain,
( ( ( ! [SV18: a] :
( ( sK2_SY44 @ sK18_SV12 @ SV18 )
= ( sK1_Xx @ sK18_SV12 @ SV18 ) ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[111]) ).
thf(121,plain,
( ( ( ( sK2_SY44 @ sK18_SV12 )
= ( sK1_Xx @ sK18_SV12 ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[111]) ).
thf(122,plain,
( ( ( ! [SV19: a] :
( ( sK2_SY44 @ sK19_SV13 @ SV19 )
= ( sK1_Xx @ sK19_SV13 @ SV19 ) ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[112]) ).
thf(123,plain,
( ( ( ( sK2_SY44 @ sK19_SV13 )
= ( sK1_Xx @ sK19_SV13 ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[112]) ).
thf(124,plain,
( ( ( ~ ( ( sK2_SY44 @ sK16_SV10 @ sK20_SV14 )
| ( sK1_Xx @ sK16_SV10 @ sK20_SV14 ) )
| ~ ( ~ ( sK2_SY44 @ sK16_SV10 @ sK20_SV14 )
| ~ ( sK1_Xx @ sK16_SV10 @ sK20_SV14 ) ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[113]) ).
thf(125,plain,
( ( ( ( sK2_SY44 @ sK16_SV10 @ sK20_SV14 )
= ( sK1_Xx @ sK16_SV10 @ sK20_SV14 ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[113]) ).
thf(126,plain,
( ( ( ( sK2_SY44 @ sK21_SV15 )
= ( sK1_Xx @ sK21_SV15 ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[114]) ).
thf(127,plain,
( ( ( ( sK2_SY44 @ sK22_SV16 )
= ( sK1_Xx @ sK22_SV16 ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[116]) ).
thf(128,plain,
( ( ( ( sK2_SY44 @ sK17_SV11 @ sK23_SV17 )
= ( sK1_Xx @ sK17_SV11 @ sK23_SV17 ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[118]) ).
thf(129,plain,
( ( ( ( sK2_SY44 @ sK18_SV12 @ sK24_SV18 )
= ( sK1_Xx @ sK18_SV12 @ sK24_SV18 ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[120]) ).
thf(130,plain,
( ( ( ( sK2_SY44 @ sK19_SV13 @ sK25_SV19 )
= ( sK1_Xx @ sK19_SV13 @ sK25_SV19 ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[122]) ).
thf(131,plain,
( ( ( ~ ( ( sK2_SY44 @ sK16_SV10 @ sK20_SV14 )
| ( sK1_Xx @ sK16_SV10 @ sK20_SV14 ) ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(132,plain,
( ( ( ~ ( ~ ( sK2_SY44 @ sK16_SV10 @ sK20_SV14 )
| ~ ( sK1_Xx @ sK16_SV10 @ sK20_SV14 ) ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(133,plain,
( ( ( ! [SV20: a] :
( ( sK2_SY44 @ sK21_SV15 @ SV20 )
= ( sK1_Xx @ sK21_SV15 @ SV20 ) ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[126]) ).
thf(134,plain,
( ( ( ( sK2_SY44 @ sK21_SV15 )
= ( sK1_Xx @ sK21_SV15 ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[126]) ).
thf(135,plain,
( ( ( ! [SV21: a] :
( ( sK2_SY44 @ sK22_SV16 @ SV21 )
= ( sK1_Xx @ sK22_SV16 @ SV21 ) ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[127]) ).
thf(136,plain,
( ( ( ( sK2_SY44 @ sK22_SV16 )
= ( sK1_Xx @ sK22_SV16 ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[127]) ).
thf(137,plain,
( ( ( ~ ( ( sK2_SY44 @ sK17_SV11 @ sK23_SV17 )
| ( sK1_Xx @ sK17_SV11 @ sK23_SV17 ) )
| ~ ( ~ ( sK2_SY44 @ sK17_SV11 @ sK23_SV17 )
| ~ ( sK1_Xx @ sK17_SV11 @ sK23_SV17 ) ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[128]) ).
thf(138,plain,
( ( ( ( sK2_SY44 @ sK17_SV11 @ sK23_SV17 )
= ( sK1_Xx @ sK17_SV11 @ sK23_SV17 ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[128]) ).
thf(139,plain,
( ( ( ~ ( ( sK2_SY44 @ sK18_SV12 @ sK24_SV18 )
| ( sK1_Xx @ sK18_SV12 @ sK24_SV18 ) )
| ~ ( ~ ( sK2_SY44 @ sK18_SV12 @ sK24_SV18 )
| ~ ( sK1_Xx @ sK18_SV12 @ sK24_SV18 ) ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[129]) ).
thf(140,plain,
( ( ( ( sK2_SY44 @ sK18_SV12 @ sK24_SV18 )
= ( sK1_Xx @ sK18_SV12 @ sK24_SV18 ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[129]) ).
thf(141,plain,
( ( ( ~ ( ( sK2_SY44 @ sK19_SV13 @ sK25_SV19 )
| ( sK1_Xx @ sK19_SV13 @ sK25_SV19 ) )
| ~ ( ~ ( sK2_SY44 @ sK19_SV13 @ sK25_SV19 )
| ~ ( sK1_Xx @ sK19_SV13 @ sK25_SV19 ) ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[130]) ).
thf(142,plain,
( ( ( ( sK2_SY44 @ sK19_SV13 @ sK25_SV19 )
= ( sK1_Xx @ sK19_SV13 @ sK25_SV19 ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[130]) ).
thf(143,plain,
( ( ( ( sK2_SY44 @ sK16_SV10 @ sK20_SV14 )
| ( sK1_Xx @ sK16_SV10 @ sK20_SV14 ) )
= $true )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(144,plain,
( ( ( ~ ( sK2_SY44 @ sK16_SV10 @ sK20_SV14 )
| ~ ( sK1_Xx @ sK16_SV10 @ sK20_SV14 ) )
= $true )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(145,plain,
( ( ( ( sK2_SY44 @ sK21_SV15 @ sK26_SV20 )
= ( sK1_Xx @ sK21_SV15 @ sK26_SV20 ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[133]) ).
thf(146,plain,
( ( ( ( sK2_SY44 @ sK22_SV16 @ sK27_SV21 )
= ( sK1_Xx @ sK22_SV16 @ sK27_SV21 ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[135]) ).
thf(147,plain,
( ( ( ~ ( ( sK2_SY44 @ sK17_SV11 @ sK23_SV17 )
| ( sK1_Xx @ sK17_SV11 @ sK23_SV17 ) ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[137]) ).
thf(148,plain,
( ( ( ~ ( ~ ( sK2_SY44 @ sK17_SV11 @ sK23_SV17 )
| ~ ( sK1_Xx @ sK17_SV11 @ sK23_SV17 ) ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[137]) ).
thf(149,plain,
( ( ( ~ ( ( sK2_SY44 @ sK18_SV12 @ sK24_SV18 )
| ( sK1_Xx @ sK18_SV12 @ sK24_SV18 ) ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(150,plain,
( ( ( ~ ( ~ ( sK2_SY44 @ sK18_SV12 @ sK24_SV18 )
| ~ ( sK1_Xx @ sK18_SV12 @ sK24_SV18 ) ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(151,plain,
( ( ( ~ ( ( sK2_SY44 @ sK19_SV13 @ sK25_SV19 )
| ( sK1_Xx @ sK19_SV13 @ sK25_SV19 ) ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(152,plain,
( ( ( ~ ( ~ ( sK2_SY44 @ sK19_SV13 @ sK25_SV19 )
| ~ ( sK1_Xx @ sK19_SV13 @ sK25_SV19 ) ) )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(153,plain,
( ( ( sK2_SY44 @ sK16_SV10 @ sK20_SV14 )
= $true )
| ( ( sK1_Xx @ sK16_SV10 @ sK20_SV14 )
= $true )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(154,plain,
( ( ( ~ ( sK2_SY44 @ sK16_SV10 @ sK20_SV14 ) )
= $true )
| ( ( ~ ( sK1_Xx @ sK16_SV10 @ sK20_SV14 ) )
= $true )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(155,plain,
( ( ( ~ ( ( sK2_SY44 @ sK21_SV15 @ sK26_SV20 )
| ( sK1_Xx @ sK21_SV15 @ sK26_SV20 ) )
| ~ ( ~ ( sK2_SY44 @ sK21_SV15 @ sK26_SV20 )
| ~ ( sK1_Xx @ sK21_SV15 @ sK26_SV20 ) ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[145]) ).
thf(156,plain,
( ( ( ( sK2_SY44 @ sK21_SV15 @ sK26_SV20 )
= ( sK1_Xx @ sK21_SV15 @ sK26_SV20 ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[145]) ).
thf(157,plain,
( ( ( ~ ( ( sK2_SY44 @ sK22_SV16 @ sK27_SV21 )
| ( sK1_Xx @ sK22_SV16 @ sK27_SV21 ) )
| ~ ( ~ ( sK2_SY44 @ sK22_SV16 @ sK27_SV21 )
| ~ ( sK1_Xx @ sK22_SV16 @ sK27_SV21 ) ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[146]) ).
thf(158,plain,
( ( ( ( sK2_SY44 @ sK22_SV16 @ sK27_SV21 )
= ( sK1_Xx @ sK22_SV16 @ sK27_SV21 ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[146]) ).
thf(159,plain,
( ( ( ( sK2_SY44 @ sK17_SV11 @ sK23_SV17 )
| ( sK1_Xx @ sK17_SV11 @ sK23_SV17 ) )
= $true )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(160,plain,
( ( ( ~ ( sK2_SY44 @ sK17_SV11 @ sK23_SV17 )
| ~ ( sK1_Xx @ sK17_SV11 @ sK23_SV17 ) )
= $true )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(161,plain,
( ( ( ( sK2_SY44 @ sK18_SV12 @ sK24_SV18 )
| ( sK1_Xx @ sK18_SV12 @ sK24_SV18 ) )
= $true )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(162,plain,
( ( ( ~ ( sK2_SY44 @ sK18_SV12 @ sK24_SV18 )
| ~ ( sK1_Xx @ sK18_SV12 @ sK24_SV18 ) )
= $true )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(163,plain,
( ( ( ( sK2_SY44 @ sK19_SV13 @ sK25_SV19 )
| ( sK1_Xx @ sK19_SV13 @ sK25_SV19 ) )
= $true )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(164,plain,
( ( ( ~ ( sK2_SY44 @ sK19_SV13 @ sK25_SV19 )
| ~ ( sK1_Xx @ sK19_SV13 @ sK25_SV19 ) )
= $true )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(165,plain,
( ( ( sK2_SY44 @ sK16_SV10 @ sK20_SV14 )
= $false )
| ( ( ~ ( sK1_Xx @ sK16_SV10 @ sK20_SV14 ) )
= $true )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(166,plain,
( ( ( ~ ( ( sK2_SY44 @ sK21_SV15 @ sK26_SV20 )
| ( sK1_Xx @ sK21_SV15 @ sK26_SV20 ) ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(167,plain,
( ( ( ~ ( ~ ( sK2_SY44 @ sK21_SV15 @ sK26_SV20 )
| ~ ( sK1_Xx @ sK21_SV15 @ sK26_SV20 ) ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(168,plain,
( ( ( ~ ( ( sK2_SY44 @ sK22_SV16 @ sK27_SV21 )
| ( sK1_Xx @ sK22_SV16 @ sK27_SV21 ) ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(169,plain,
( ( ( ~ ( ~ ( sK2_SY44 @ sK22_SV16 @ sK27_SV21 )
| ~ ( sK1_Xx @ sK22_SV16 @ sK27_SV21 ) ) )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(170,plain,
( ( ( sK2_SY44 @ sK17_SV11 @ sK23_SV17 )
= $true )
| ( ( sK1_Xx @ sK17_SV11 @ sK23_SV17 )
= $true )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(171,plain,
( ( ( ~ ( sK2_SY44 @ sK17_SV11 @ sK23_SV17 ) )
= $true )
| ( ( ~ ( sK1_Xx @ sK17_SV11 @ sK23_SV17 ) )
= $true )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(172,plain,
( ( ( sK2_SY44 @ sK18_SV12 @ sK24_SV18 )
= $true )
| ( ( sK1_Xx @ sK18_SV12 @ sK24_SV18 )
= $true )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(173,plain,
( ( ( ~ ( sK2_SY44 @ sK18_SV12 @ sK24_SV18 ) )
= $true )
| ( ( ~ ( sK1_Xx @ sK18_SV12 @ sK24_SV18 ) )
= $true )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(174,plain,
( ( ( sK2_SY44 @ sK19_SV13 @ sK25_SV19 )
= $true )
| ( ( sK1_Xx @ sK19_SV13 @ sK25_SV19 )
= $true )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(175,plain,
( ( ( ~ ( sK2_SY44 @ sK19_SV13 @ sK25_SV19 ) )
= $true )
| ( ( ~ ( sK1_Xx @ sK19_SV13 @ sK25_SV19 ) )
= $true )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(176,plain,
( ( ( sK1_Xx @ sK16_SV10 @ sK20_SV14 )
= $false )
| ( ( sK2_SY44 @ sK16_SV10 @ sK20_SV14 )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(177,plain,
( ( ( ( sK2_SY44 @ sK21_SV15 @ sK26_SV20 )
| ( sK1_Xx @ sK21_SV15 @ sK26_SV20 ) )
= $true )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(178,plain,
( ( ( ~ ( sK2_SY44 @ sK21_SV15 @ sK26_SV20 )
| ~ ( sK1_Xx @ sK21_SV15 @ sK26_SV20 ) )
= $true )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(179,plain,
( ( ( ( sK2_SY44 @ sK22_SV16 @ sK27_SV21 )
| ( sK1_Xx @ sK22_SV16 @ sK27_SV21 ) )
= $true )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(180,plain,
( ( ( ~ ( sK2_SY44 @ sK22_SV16 @ sK27_SV21 )
| ~ ( sK1_Xx @ sK22_SV16 @ sK27_SV21 ) )
= $true )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(181,plain,
( ( ( sK2_SY44 @ sK17_SV11 @ sK23_SV17 )
= $false )
| ( ( ~ ( sK1_Xx @ sK17_SV11 @ sK23_SV17 ) )
= $true )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(182,plain,
( ( ( sK2_SY44 @ sK18_SV12 @ sK24_SV18 )
= $false )
| ( ( ~ ( sK1_Xx @ sK18_SV12 @ sK24_SV18 ) )
= $true )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(183,plain,
( ( ( sK2_SY44 @ sK19_SV13 @ sK25_SV19 )
= $false )
| ( ( ~ ( sK1_Xx @ sK19_SV13 @ sK25_SV19 ) )
= $true )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(184,plain,
( ( ( sK2_SY44 @ sK21_SV15 @ sK26_SV20 )
= $true )
| ( ( sK1_Xx @ sK21_SV15 @ sK26_SV20 )
= $true )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(185,plain,
( ( ( ~ ( sK2_SY44 @ sK21_SV15 @ sK26_SV20 ) )
= $true )
| ( ( ~ ( sK1_Xx @ sK21_SV15 @ sK26_SV20 ) )
= $true )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(186,plain,
( ( ( sK2_SY44 @ sK22_SV16 @ sK27_SV21 )
= $true )
| ( ( sK1_Xx @ sK22_SV16 @ sK27_SV21 )
= $true )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(187,plain,
( ( ( ~ ( sK2_SY44 @ sK22_SV16 @ sK27_SV21 ) )
= $true )
| ( ( ~ ( sK1_Xx @ sK22_SV16 @ sK27_SV21 ) )
= $true )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(188,plain,
( ( ( sK1_Xx @ sK17_SV11 @ sK23_SV17 )
= $false )
| ( ( sK2_SY44 @ sK17_SV11 @ sK23_SV17 )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK5_SY67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(189,plain,
( ( ( sK1_Xx @ sK18_SV12 @ sK24_SV18 )
= $false )
| ( ( sK2_SY44 @ sK18_SV12 @ sK24_SV18 )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(190,plain,
( ( ( sK1_Xx @ sK19_SV13 @ sK25_SV19 )
= $false )
| ( ( sK2_SY44 @ sK19_SV13 @ sK25_SV19 )
= $false )
| ( ( sK2_SY44 @ sK6_SY60 @ sK7_SY68 )
= $true )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(191,plain,
( ( ( sK2_SY44 @ sK21_SV15 @ sK26_SV20 )
= $false )
| ( ( ~ ( sK1_Xx @ sK21_SV15 @ sK26_SV20 ) )
= $true )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(192,plain,
( ( ( sK2_SY44 @ sK22_SV16 @ sK27_SV21 )
= $false )
| ( ( ~ ( sK1_Xx @ sK22_SV16 @ sK27_SV21 ) )
= $true )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(193,plain,
( ( ( sK1_Xx @ sK21_SV15 @ sK26_SV20 )
= $false )
| ( ( sK2_SY44 @ sK21_SV15 @ sK26_SV20 )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK3_SY62 @ sK4_SY65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(194,plain,
( ( ( sK1_Xx @ sK22_SV16 @ sK27_SV21 )
= $false )
| ( ( sK2_SY44 @ sK22_SV16 @ sK27_SV21 )
= $false )
| ( ( sK2_SY44 @ sK7_SY68 @ sK6_SY60 )
= $false )
| ( ( sK2_SY44 @ sK4_SY65 @ sK5_SY67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(195,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[30,194,193,190,189,188,186,184,176,174,172,170,158,156,153,142,140,138,136,134,125,123,121,119,117,115,110,109,108,107,103,101,99,93,92,79,65,53,41]) ).
thf(196,plain,
( ( ! [SY87: a,SY88: a,SY89: a] :
( ~ ( sK9_SY69 @ SY87 @ SY88 )
| ~ ( sK9_SY69 @ SY88 @ SY89 )
| ( sK9_SY69 @ SY87 @ SY89 ) )
& ! [SY90: a,SY91: a] :
( ~ ( sK9_SY69 @ SY90 @ SY91 )
| ( sK9_SY69 @ SY91 @ SY90 ) )
& ! [SY76: a,SY77: a] :
( ~ ( sK8_Xx @ SY76 @ SY77 )
| ( sK8_Xx @ SY77 @ SY76 ) )
& ! [SY78: a,SY79: a,SY80: a] :
( ~ ( sK8_Xx @ SY78 @ SY79 )
| ~ ( sK8_Xx @ SY79 @ SY80 )
| ( sK8_Xx @ SY78 @ SY80 ) )
& ( sK8_Xx = sK9_SY69 )
& ( sK9_SY69 = sK10_SY86 )
& ( ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
& ~ ( sK8_Xx @ sK15_SY120 @ sK14_SY81 ) )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
& ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
& ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) )
| ( sK8_Xx != sK10_SY86 ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(197,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ~ ( sK9_SY69 @ SX1 @ SX2 )
| ( sK9_SY69 @ SX0 @ SX2 ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ( sK9_SY69 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ( sK8_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ~ ( sK8_Xx @ SX1 @ SX2 )
| ( sK8_Xx @ SX0 @ SX2 ) ) )
| ( sK8_Xx != sK9_SY69 ) ) ) )
| ( sK9_SY69 != sK10_SY86 ) )
| ~ ( ~ ( ~ ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
| ~ ~ ( sK8_Xx @ sK15_SY120 @ sK14_SY81 ) )
| ~ ( ~ ~ ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) )
| ~ ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) )
| ( sK8_Xx != sK10_SY86 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(198,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ~ ( sK9_SY69 @ SX1 @ SX2 )
| ( sK9_SY69 @ SX0 @ SX2 ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ( sK9_SY69 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ( sK8_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ~ ( sK8_Xx @ SX1 @ SX2 )
| ( sK8_Xx @ SX0 @ SX2 ) ) )
| ( sK8_Xx != sK9_SY69 ) ) ) )
| ( sK9_SY69 != sK10_SY86 ) )
| ~ ( ~ ( ~ ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
| ~ ~ ( sK8_Xx @ sK15_SY120 @ sK14_SY81 ) )
| ~ ( ~ ~ ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) )
| ~ ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) )
| ( sK8_Xx != sK10_SY86 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(199,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ~ ( sK9_SY69 @ SX1 @ SX2 )
| ( sK9_SY69 @ SX0 @ SX2 ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ( sK9_SY69 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ( sK8_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ~ ( sK8_Xx @ SX1 @ SX2 )
| ( sK8_Xx @ SX0 @ SX2 ) ) )
| ( sK8_Xx != sK9_SY69 ) ) ) )
| ( sK9_SY69 != sK10_SY86 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(200,plain,
( ( ~ ( ~ ( ~ ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
| ~ ~ ( sK8_Xx @ sK15_SY120 @ sK14_SY81 ) )
| ~ ( ~ ~ ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) )
| ~ ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) )
| ( sK8_Xx != sK10_SY86 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(201,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ~ ( sK9_SY69 @ SX1 @ SX2 )
| ( sK9_SY69 @ SX0 @ SX2 ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ( sK9_SY69 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ( sK8_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ~ ( sK8_Xx @ SX1 @ SX2 )
| ( sK8_Xx @ SX0 @ SX2 ) ) )
| ( sK8_Xx != sK9_SY69 ) ) ) )
| ( sK9_SY69 != sK10_SY86 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(202,plain,
( ( ~ ( ~ ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
| ~ ~ ( sK8_Xx @ sK15_SY120 @ sK14_SY81 ) )
| ~ ( ~ ~ ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) )
| ~ ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) )
| ( sK8_Xx != sK10_SY86 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(203,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ~ ( sK9_SY69 @ SX1 @ SX2 )
| ( sK9_SY69 @ SX0 @ SX2 ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ( sK9_SY69 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ( sK8_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ~ ( sK8_Xx @ SX1 @ SX2 )
| ( sK8_Xx @ SX0 @ SX2 ) ) )
| ( sK8_Xx != sK9_SY69 ) ) ) )
| ( sK9_SY69 != sK10_SY86 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(204,plain,
( ( ( ~ ( ~ ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
| ~ ~ ( sK8_Xx @ sK15_SY120 @ sK14_SY81 ) )
| ~ ( ~ ~ ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) )
| ~ ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) ) )
= $true )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(205,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ~ ( sK9_SY69 @ SX1 @ SX2 )
| ( sK9_SY69 @ SX0 @ SX2 ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ( sK9_SY69 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ( sK8_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ~ ( sK8_Xx @ SX1 @ SX2 )
| ( sK8_Xx @ SX0 @ SX2 ) ) )
| ( sK8_Xx != sK9_SY69 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(206,plain,
( ( ( sK9_SY69 != sK10_SY86 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(207,plain,
( ( ( ~ ( ~ ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
| ~ ~ ( sK8_Xx @ sK15_SY120 @ sK14_SY81 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) )
| ~ ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) ) )
= $true )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(208,plain,
( ( ~ ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ~ ( sK9_SY69 @ SX1 @ SX2 )
| ( sK9_SY69 @ SX0 @ SX2 ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ( sK9_SY69 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ( sK8_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ~ ( sK8_Xx @ SX1 @ SX2 )
| ( sK8_Xx @ SX0 @ SX2 ) ) )
| ( sK8_Xx != sK9_SY69 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(209,plain,
( ( sK9_SY69 = sK10_SY86 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(210,plain,
( ( ( ~ ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
| ~ ~ ( sK8_Xx @ sK15_SY120 @ sK14_SY81 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) )
| ~ ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) ) )
= $true )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(211,plain,
( ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ~ ( sK9_SY69 @ SX1 @ SX2 )
| ( sK9_SY69 @ SX0 @ SX2 ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ( sK9_SY69 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ( sK8_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ~ ( sK8_Xx @ SX1 @ SX2 )
| ( sK8_Xx @ SX0 @ SX2 ) ) )
| ( sK8_Xx != sK9_SY69 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(212,plain,
( ( ! [SV22: a] :
( ( sK9_SY69 @ SV22 )
= ( sK10_SY86 @ SV22 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[209]) ).
thf(213,plain,
( ( sK9_SY69 = sK10_SY86 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[209]) ).
thf(214,plain,
( ( ( ~ ( sK8_Xx @ sK14_SY81 @ sK15_SY120 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) )
| ~ ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) ) )
= $true )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(215,plain,
( ( ( ~ ~ ( sK8_Xx @ sK15_SY120 @ sK14_SY81 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) )
| ~ ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) ) )
= $true )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(216,plain,
( ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ~ ( sK9_SY69 @ SX1 @ SX2 )
| ( sK9_SY69 @ SX0 @ SX2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(217,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ( sK9_SY69 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ( sK8_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ~ ( sK8_Xx @ SX1 @ SX2 )
| ( sK8_Xx @ SX0 @ SX2 ) ) )
| ( sK8_Xx != sK9_SY69 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(218,plain,
! [SV23: a] :
( ( ( sK9_SY69 @ SV23 )
= ( sK10_SY86 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(219,plain,
( ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) )
| ~ ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) ) )
= $true )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(220,plain,
( ( ( ~ ( sK8_Xx @ sK15_SY120 @ sK14_SY81 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) )
| ~ ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) ) )
= $true )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(221,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ~ ( sK9_SY69 @ SX1 @ SX2 )
| ( sK9_SY69 @ SX0 @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(222,plain,
( ( ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ( sK9_SY69 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ( sK8_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ~ ( sK8_Xx @ SX1 @ SX2 )
| ( sK8_Xx @ SX0 @ SX2 ) ) )
| ( sK8_Xx != sK9_SY69 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(223,plain,
! [SV23: a] :
( ( ! [SV24: a] :
( ( sK9_SY69 @ SV23 @ SV24 )
= ( sK10_SY86 @ SV23 @ SV24 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[218]) ).
thf(224,plain,
! [SV23: a] :
( ( ( sK9_SY69 @ SV23 )
= ( sK10_SY86 @ SV23 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[218]) ).
thf(225,plain,
( ( ( ~ ~ ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) )
| ~ ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(226,plain,
( ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) )
| ~ ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) ) )
= $true )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(227,plain,
! [SV25: a] :
( ( ! [SY125: a,SY126: a] :
( ~ ( sK9_SY69 @ SV25 @ SY125 )
| ~ ( sK9_SY69 @ SY125 @ SY126 )
| ( sK9_SY69 @ SV25 @ SY126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(228,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ( sK9_SY69 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ( sK8_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ~ ( sK8_Xx @ SX1 @ SX2 )
| ( sK8_Xx @ SX0 @ SX2 ) ) )
| ( sK8_Xx != sK9_SY69 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(229,plain,
! [SV26: a,SV23: a] :
( ( ( sK9_SY69 @ SV23 @ SV26 )
= ( sK10_SY86 @ SV23 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(230,plain,
( ( ( ~ ~ ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(231,plain,
( ( ( ~ ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(232,plain,
( ( ( ~ ~ ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) )
| ~ ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(233,plain,
! [SV27: a,SV25: a] :
( ( ! [SY127: a] :
( ~ ( sK9_SY69 @ SV25 @ SV27 )
| ~ ( sK9_SY69 @ SV27 @ SY127 )
| ( sK9_SY69 @ SV25 @ SY127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(234,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ( sK9_SY69 @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(235,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ( sK8_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ~ ( sK8_Xx @ SX1 @ SX2 )
| ( sK8_Xx @ SX0 @ SX2 ) ) )
| ( sK8_Xx != sK9_SY69 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(236,plain,
! [SV26: a,SV23: a] :
( ( ~ ( ( sK9_SY69 @ SV23 @ SV26 )
| ( sK10_SY86 @ SV23 @ SV26 ) )
| ~ ( ~ ( sK9_SY69 @ SV23 @ SV26 )
| ~ ( sK10_SY86 @ SV23 @ SV26 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[229]) ).
thf(237,plain,
! [SV26: a,SV23: a] :
( ( ( sK9_SY69 @ SV23 @ SV26 )
= ( sK10_SY86 @ SV23 @ SV26 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[229]) ).
thf(238,plain,
( ( ( ~ ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) ) )
= $true )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(239,plain,
( ( ( ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) )
= $true )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(240,plain,
( ( ( ~ ~ ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(241,plain,
( ( ( ~ ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(242,plain,
! [SV28: a,SV27: a,SV25: a] :
( ( ~ ( sK9_SY69 @ SV25 @ SV27 )
| ~ ( sK9_SY69 @ SV27 @ SV28 )
| ( sK9_SY69 @ SV25 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(243,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK9_SY69 @ SX0 @ SX1 )
| ( sK9_SY69 @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(244,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ( sK8_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ~ ( sK8_Xx @ SX1 @ SX2 )
| ( sK8_Xx @ SX0 @ SX2 ) ) )
| ( sK8_Xx != sK9_SY69 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(245,plain,
! [SV26: a,SV23: a] :
( ( ( ~ ( ( sK9_SY69 @ SV23 @ SV26 )
| ( sK10_SY86 @ SV23 @ SV26 ) ) )
= $true )
| ( ( ~ ( ~ ( sK9_SY69 @ SV23 @ SV26 )
| ~ ( sK10_SY86 @ SV23 @ SV26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(246,plain,
( ( ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(247,plain,
( ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(248,plain,
( ( ( ~ ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) ) )
= $true )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(249,plain,
( ( ( ~ ( sK8_Xx @ sK11_SY83 @ sK13_SY119 ) )
= $true )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(250,plain,
! [SV28: a,SV27: a,SV25: a] :
( ( ( ~ ( sK9_SY69 @ SV25 @ SV27 )
| ~ ( sK9_SY69 @ SV27 @ SV28 ) )
= $true )
| ( ( sK9_SY69 @ SV25 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(251,plain,
! [SV29: a] :
( ( ! [SY128: a] :
( ~ ( sK9_SY69 @ SV29 @ SY128 )
| ( sK9_SY69 @ SY128 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(252,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ( sK8_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ~ ( sK8_Xx @ SX1 @ SX2 )
| ( sK8_Xx @ SX0 @ SX2 ) ) )
| ( sK8_Xx != sK9_SY69 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(253,plain,
! [SV26: a,SV23: a] :
( ( ( ( sK9_SY69 @ SV23 @ SV26 )
| ( sK10_SY86 @ SV23 @ SV26 ) )
= $false )
| ( ( ~ ( ~ ( sK9_SY69 @ SV23 @ SV26 )
| ~ ( sK10_SY86 @ SV23 @ SV26 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(254,plain,
( ( ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(255,plain,
( ( ( ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(256,plain,
( ( ( sK8_Xx = sK10_SY86 )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(257,plain,
( ( ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
| ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(258,plain,
( ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(259,plain,
! [SV28: a,SV27: a,SV25: a] :
( ( ( ~ ( sK9_SY69 @ SV25 @ SV27 ) )
= $true )
| ( ( ~ ( sK9_SY69 @ SV27 @ SV28 ) )
= $true )
| ( ( sK9_SY69 @ SV25 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(260,plain,
! [SV30: a,SV29: a] :
( ( ~ ( sK9_SY69 @ SV29 @ SV30 )
| ( sK9_SY69 @ SV30 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(261,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ( sK8_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ~ ( sK8_Xx @ SX1 @ SX2 )
| ( sK8_Xx @ SX0 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(262,plain,
( ( ( sK8_Xx != sK9_SY69 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(263,plain,
! [SV26: a,SV23: a] :
( ( ( sK9_SY69 @ SV23 @ SV26 )
= $false )
| ( ( ~ ( ~ ( sK9_SY69 @ SV23 @ SV26 )
| ~ ( sK10_SY86 @ SV23 @ SV26 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(264,plain,
! [SV26: a,SV23: a] :
( ( ( sK10_SY86 @ SV23 @ SV26 )
= $false )
| ( ( ~ ( ~ ( sK9_SY69 @ SV23 @ SV26 )
| ~ ( sK10_SY86 @ SV23 @ SV26 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(265,plain,
( ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(266,plain,
( ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(267,plain,
( ( ( ! [SV31: a] :
( ( sK8_Xx @ SV31 )
= ( sK10_SY86 @ SV31 ) ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[256]) ).
thf(268,plain,
( ( ( sK8_Xx = sK10_SY86 )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[256]) ).
thf(269,plain,
( ( ( ~ ( sK8_Xx @ sK11_SY83 @ sK12_SY117 ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(270,plain,
( ( ( ~ ( sK8_Xx @ sK12_SY117 @ sK13_SY119 ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(271,plain,
( ( ( sK8_Xx = sK10_SY86 )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(272,plain,
! [SV28: a,SV27: a,SV25: a] :
( ( ( sK9_SY69 @ SV25 @ SV27 )
= $false )
| ( ( ~ ( sK9_SY69 @ SV27 @ SV28 ) )
= $true )
| ( ( sK9_SY69 @ SV25 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(273,plain,
! [SV30: a,SV29: a] :
( ( ( ~ ( sK9_SY69 @ SV29 @ SV30 ) )
= $true )
| ( ( sK9_SY69 @ SV30 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(274,plain,
( ( ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ( sK8_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ~ ( sK8_Xx @ SX1 @ SX2 )
| ( sK8_Xx @ SX0 @ SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(275,plain,
( ( sK8_Xx = sK9_SY69 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(276,plain,
! [SV26: a,SV23: a] :
( ( ( ~ ( sK9_SY69 @ SV23 @ SV26 )
| ~ ( sK10_SY86 @ SV23 @ SV26 ) )
= $false )
| ( ( sK9_SY69 @ SV23 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(277,plain,
! [SV26: a,SV23: a] :
( ( ( ~ ( sK9_SY69 @ SV23 @ SV26 )
| ~ ( sK10_SY86 @ SV23 @ SV26 ) )
= $false )
| ( ( sK10_SY86 @ SV23 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(278,plain,
( ( ( sK8_Xx = sK10_SY86 )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(279,plain,
( ( ( sK8_Xx = sK10_SY86 )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(280,plain,
( ( ( ( sK8_Xx @ sK28_SV31 )
= ( sK10_SY86 @ sK28_SV31 ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[267]) ).
thf(281,plain,
( ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(282,plain,
( ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( ( sK8_Xx != sK10_SY86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(283,plain,
( ( ( ! [SV32: a] :
( ( sK8_Xx @ SV32 )
= ( sK10_SY86 @ SV32 ) ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[271]) ).
thf(284,plain,
( ( ( sK8_Xx = sK10_SY86 )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[271]) ).
thf(285,plain,
! [SV25: a,SV28: a,SV27: a] :
( ( ( sK9_SY69 @ SV27 @ SV28 )
= $false )
| ( ( sK9_SY69 @ SV25 @ SV27 )
= $false )
| ( ( sK9_SY69 @ SV25 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(286,plain,
! [SV30: a,SV29: a] :
( ( ( sK9_SY69 @ SV29 @ SV30 )
= $false )
| ( ( sK9_SY69 @ SV30 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(287,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ( sK8_Xx @ SX1 @ SX0 ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ~ ( sK8_Xx @ SX1 @ SX2 )
| ( sK8_Xx @ SX0 @ SX2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(288,plain,
( ( ! [SV33: a] :
( ( sK8_Xx @ SV33 )
= ( sK9_SY69 @ SV33 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[275]) ).
thf(289,plain,
( ( sK8_Xx = sK9_SY69 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[275]) ).
thf(290,plain,
! [SV26: a,SV23: a] :
( ( ( ~ ( sK9_SY69 @ SV23 @ SV26 ) )
= $false )
| ( ( sK9_SY69 @ SV23 @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(291,plain,
! [SV26: a,SV23: a] :
( ( ( ~ ( sK10_SY86 @ SV23 @ SV26 ) )
= $false )
| ( ( sK9_SY69 @ SV23 @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(292,plain,
! [SV26: a,SV23: a] :
( ( ( ~ ( sK9_SY69 @ SV23 @ SV26 ) )
= $false )
| ( ( sK10_SY86 @ SV23 @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[277]) ).
thf(293,plain,
! [SV26: a,SV23: a] :
( ( ( ~ ( sK10_SY86 @ SV23 @ SV26 ) )
= $false )
| ( ( sK10_SY86 @ SV23 @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[277]) ).
thf(294,plain,
( ( ( ! [SV34: a] :
( ( sK8_Xx @ SV34 )
= ( sK10_SY86 @ SV34 ) ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[278]) ).
thf(295,plain,
( ( ( sK8_Xx = sK10_SY86 )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[278]) ).
thf(296,plain,
( ( ( ! [SV35: a] :
( ( sK8_Xx @ SV35 )
= ( sK10_SY86 @ SV35 ) ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[279]) ).
thf(297,plain,
( ( ( sK8_Xx = sK10_SY86 )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[279]) ).
thf(298,plain,
( ( ( ! [SV36: a] :
( ( sK8_Xx @ sK28_SV31 @ SV36 )
= ( sK10_SY86 @ sK28_SV31 @ SV36 ) ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[280]) ).
thf(299,plain,
( ( ( ( sK8_Xx @ sK28_SV31 )
= ( sK10_SY86 @ sK28_SV31 ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[280]) ).
thf(300,plain,
( ( ( sK8_Xx = sK10_SY86 )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(301,plain,
( ( ( sK8_Xx = sK10_SY86 )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(302,plain,
( ( ( ( sK8_Xx @ sK29_SV32 )
= ( sK10_SY86 @ sK29_SV32 ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[283]) ).
thf(303,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ( sK8_Xx @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(304,plain,
( ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ~ ( sK8_Xx @ SX1 @ SX2 )
| ( sK8_Xx @ SX0 @ SX2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(305,plain,
! [SV37: a] :
( ( ( sK8_Xx @ SV37 )
= ( sK9_SY69 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(306,plain,
! [SV26: a,SV23: a] :
( ( ( sK9_SY69 @ SV23 @ SV26 )
= $true )
| ( ( sK9_SY69 @ SV23 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(307,plain,
! [SV26: a,SV23: a] :
( ( ( sK10_SY86 @ SV23 @ SV26 )
= $true )
| ( ( sK9_SY69 @ SV23 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(308,plain,
! [SV26: a,SV23: a] :
( ( ( sK9_SY69 @ SV23 @ SV26 )
= $true )
| ( ( sK10_SY86 @ SV23 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(309,plain,
! [SV26: a,SV23: a] :
( ( ( sK10_SY86 @ SV23 @ SV26 )
= $true )
| ( ( sK10_SY86 @ SV23 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(310,plain,
( ( ( ( sK8_Xx @ sK30_SV34 )
= ( sK10_SY86 @ sK30_SV34 ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[294]) ).
thf(311,plain,
( ( ( ( sK8_Xx @ sK31_SV35 )
= ( sK10_SY86 @ sK31_SV35 ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[296]) ).
thf(312,plain,
( ( ( ( sK8_Xx @ sK28_SV31 @ sK32_SV36 )
= ( sK10_SY86 @ sK28_SV31 @ sK32_SV36 ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[298]) ).
thf(313,plain,
( ( ( ! [SV38: a] :
( ( sK8_Xx @ SV38 )
= ( sK10_SY86 @ SV38 ) ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[300]) ).
thf(314,plain,
( ( ( sK8_Xx = sK10_SY86 )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[300]) ).
thf(315,plain,
( ( ( ! [SV39: a] :
( ( sK8_Xx @ SV39 )
= ( sK10_SY86 @ SV39 ) ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[301]) ).
thf(316,plain,
( ( ( sK8_Xx = sK10_SY86 )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[301]) ).
thf(317,plain,
( ( ( ! [SV40: a] :
( ( sK8_Xx @ sK29_SV32 @ SV40 )
= ( sK10_SY86 @ sK29_SV32 @ SV40 ) ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[302]) ).
thf(318,plain,
( ( ( ( sK8_Xx @ sK29_SV32 )
= ( sK10_SY86 @ sK29_SV32 ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[302]) ).
thf(319,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ( sK8_Xx @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(320,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK8_Xx @ SX0 @ SX1 )
| ~ ( sK8_Xx @ SX1 @ SX2 )
| ( sK8_Xx @ SX0 @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(321,plain,
! [SV37: a] :
( ( ! [SV41: a] :
( ( sK8_Xx @ SV37 @ SV41 )
= ( sK9_SY69 @ SV37 @ SV41 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[305]) ).
thf(322,plain,
! [SV37: a] :
( ( ( sK8_Xx @ SV37 )
= ( sK9_SY69 @ SV37 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[305]) ).
thf(323,plain,
( ( ( ! [SV42: a] :
( ( sK8_Xx @ sK30_SV34 @ SV42 )
= ( sK10_SY86 @ sK30_SV34 @ SV42 ) ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[310]) ).
thf(324,plain,
( ( ( ( sK8_Xx @ sK30_SV34 )
= ( sK10_SY86 @ sK30_SV34 ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[310]) ).
thf(325,plain,
( ( ( ! [SV43: a] :
( ( sK8_Xx @ sK31_SV35 @ SV43 )
= ( sK10_SY86 @ sK31_SV35 @ SV43 ) ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[311]) ).
thf(326,plain,
( ( ( ( sK8_Xx @ sK31_SV35 )
= ( sK10_SY86 @ sK31_SV35 ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[311]) ).
thf(327,plain,
( ( ( ~ ( ( sK8_Xx @ sK28_SV31 @ sK32_SV36 )
| ( sK10_SY86 @ sK28_SV31 @ sK32_SV36 ) )
| ~ ( ~ ( sK8_Xx @ sK28_SV31 @ sK32_SV36 )
| ~ ( sK10_SY86 @ sK28_SV31 @ sK32_SV36 ) ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[312]) ).
thf(328,plain,
( ( ( ( sK8_Xx @ sK28_SV31 @ sK32_SV36 )
= ( sK10_SY86 @ sK28_SV31 @ sK32_SV36 ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[312]) ).
thf(329,plain,
( ( ( ( sK8_Xx @ sK33_SV38 )
= ( sK10_SY86 @ sK33_SV38 ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[313]) ).
thf(330,plain,
( ( ( ( sK8_Xx @ sK34_SV39 )
= ( sK10_SY86 @ sK34_SV39 ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[315]) ).
thf(331,plain,
( ( ( ( sK8_Xx @ sK29_SV32 @ sK35_SV40 )
= ( sK10_SY86 @ sK29_SV32 @ sK35_SV40 ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[317]) ).
thf(332,plain,
! [SV44: a] :
( ( ! [SY129: a] :
( ~ ( sK8_Xx @ SV44 @ SY129 )
| ( sK8_Xx @ SY129 @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(333,plain,
! [SV45: a] :
( ( ! [SY130: a,SY131: a] :
( ~ ( sK8_Xx @ SV45 @ SY130 )
| ~ ( sK8_Xx @ SY130 @ SY131 )
| ( sK8_Xx @ SV45 @ SY131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(334,plain,
! [SV46: a,SV37: a] :
( ( ( sK8_Xx @ SV37 @ SV46 )
= ( sK9_SY69 @ SV37 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(335,plain,
( ( ( ( sK8_Xx @ sK30_SV34 @ sK36_SV42 )
= ( sK10_SY86 @ sK30_SV34 @ sK36_SV42 ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[323]) ).
thf(336,plain,
( ( ( ( sK8_Xx @ sK31_SV35 @ sK37_SV43 )
= ( sK10_SY86 @ sK31_SV35 @ sK37_SV43 ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[325]) ).
thf(337,plain,
( ( ( ~ ( ( sK8_Xx @ sK28_SV31 @ sK32_SV36 )
| ( sK10_SY86 @ sK28_SV31 @ sK32_SV36 ) ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(338,plain,
( ( ( ~ ( ~ ( sK8_Xx @ sK28_SV31 @ sK32_SV36 )
| ~ ( sK10_SY86 @ sK28_SV31 @ sK32_SV36 ) ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(339,plain,
( ( ( ! [SV47: a] :
( ( sK8_Xx @ sK33_SV38 @ SV47 )
= ( sK10_SY86 @ sK33_SV38 @ SV47 ) ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[329]) ).
thf(340,plain,
( ( ( ( sK8_Xx @ sK33_SV38 )
= ( sK10_SY86 @ sK33_SV38 ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[329]) ).
thf(341,plain,
( ( ( ! [SV48: a] :
( ( sK8_Xx @ sK34_SV39 @ SV48 )
= ( sK10_SY86 @ sK34_SV39 @ SV48 ) ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[330]) ).
thf(342,plain,
( ( ( ( sK8_Xx @ sK34_SV39 )
= ( sK10_SY86 @ sK34_SV39 ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[330]) ).
thf(343,plain,
( ( ( ~ ( ( sK8_Xx @ sK29_SV32 @ sK35_SV40 )
| ( sK10_SY86 @ sK29_SV32 @ sK35_SV40 ) )
| ~ ( ~ ( sK8_Xx @ sK29_SV32 @ sK35_SV40 )
| ~ ( sK10_SY86 @ sK29_SV32 @ sK35_SV40 ) ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[331]) ).
thf(344,plain,
( ( ( ( sK8_Xx @ sK29_SV32 @ sK35_SV40 )
= ( sK10_SY86 @ sK29_SV32 @ sK35_SV40 ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[331]) ).
thf(345,plain,
! [SV49: a,SV44: a] :
( ( ~ ( sK8_Xx @ SV44 @ SV49 )
| ( sK8_Xx @ SV49 @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(346,plain,
! [SV50: a,SV45: a] :
( ( ! [SY132: a] :
( ~ ( sK8_Xx @ SV45 @ SV50 )
| ~ ( sK8_Xx @ SV50 @ SY132 )
| ( sK8_Xx @ SV45 @ SY132 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(347,plain,
! [SV46: a,SV37: a] :
( ( ~ ( ( sK8_Xx @ SV37 @ SV46 )
| ( sK9_SY69 @ SV37 @ SV46 ) )
| ~ ( ~ ( sK8_Xx @ SV37 @ SV46 )
| ~ ( sK9_SY69 @ SV37 @ SV46 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[334]) ).
thf(348,plain,
! [SV46: a,SV37: a] :
( ( ( sK8_Xx @ SV37 @ SV46 )
= ( sK9_SY69 @ SV37 @ SV46 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[334]) ).
thf(349,plain,
( ( ( ~ ( ( sK8_Xx @ sK30_SV34 @ sK36_SV42 )
| ( sK10_SY86 @ sK30_SV34 @ sK36_SV42 ) )
| ~ ( ~ ( sK8_Xx @ sK30_SV34 @ sK36_SV42 )
| ~ ( sK10_SY86 @ sK30_SV34 @ sK36_SV42 ) ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[335]) ).
thf(350,plain,
( ( ( ( sK8_Xx @ sK30_SV34 @ sK36_SV42 )
= ( sK10_SY86 @ sK30_SV34 @ sK36_SV42 ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[335]) ).
thf(351,plain,
( ( ( ~ ( ( sK8_Xx @ sK31_SV35 @ sK37_SV43 )
| ( sK10_SY86 @ sK31_SV35 @ sK37_SV43 ) )
| ~ ( ~ ( sK8_Xx @ sK31_SV35 @ sK37_SV43 )
| ~ ( sK10_SY86 @ sK31_SV35 @ sK37_SV43 ) ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[336]) ).
thf(352,plain,
( ( ( ( sK8_Xx @ sK31_SV35 @ sK37_SV43 )
= ( sK10_SY86 @ sK31_SV35 @ sK37_SV43 ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[336]) ).
thf(353,plain,
( ( ( ( sK8_Xx @ sK28_SV31 @ sK32_SV36 )
| ( sK10_SY86 @ sK28_SV31 @ sK32_SV36 ) )
= $true )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(354,plain,
( ( ( ~ ( sK8_Xx @ sK28_SV31 @ sK32_SV36 )
| ~ ( sK10_SY86 @ sK28_SV31 @ sK32_SV36 ) )
= $true )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(355,plain,
( ( ( ( sK8_Xx @ sK33_SV38 @ sK38_SV47 )
= ( sK10_SY86 @ sK33_SV38 @ sK38_SV47 ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[339]) ).
thf(356,plain,
( ( ( ( sK8_Xx @ sK34_SV39 @ sK39_SV48 )
= ( sK10_SY86 @ sK34_SV39 @ sK39_SV48 ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[341]) ).
thf(357,plain,
( ( ( ~ ( ( sK8_Xx @ sK29_SV32 @ sK35_SV40 )
| ( sK10_SY86 @ sK29_SV32 @ sK35_SV40 ) ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(358,plain,
( ( ( ~ ( ~ ( sK8_Xx @ sK29_SV32 @ sK35_SV40 )
| ~ ( sK10_SY86 @ sK29_SV32 @ sK35_SV40 ) ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(359,plain,
! [SV49: a,SV44: a] :
( ( ( ~ ( sK8_Xx @ SV44 @ SV49 ) )
= $true )
| ( ( sK8_Xx @ SV49 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(360,plain,
! [SV51: a,SV50: a,SV45: a] :
( ( ~ ( sK8_Xx @ SV45 @ SV50 )
| ~ ( sK8_Xx @ SV50 @ SV51 )
| ( sK8_Xx @ SV45 @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(361,plain,
! [SV46: a,SV37: a] :
( ( ( ~ ( ( sK8_Xx @ SV37 @ SV46 )
| ( sK9_SY69 @ SV37 @ SV46 ) ) )
= $true )
| ( ( ~ ( ~ ( sK8_Xx @ SV37 @ SV46 )
| ~ ( sK9_SY69 @ SV37 @ SV46 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(362,plain,
( ( ( ~ ( ( sK8_Xx @ sK30_SV34 @ sK36_SV42 )
| ( sK10_SY86 @ sK30_SV34 @ sK36_SV42 ) ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(363,plain,
( ( ( ~ ( ~ ( sK8_Xx @ sK30_SV34 @ sK36_SV42 )
| ~ ( sK10_SY86 @ sK30_SV34 @ sK36_SV42 ) ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(364,plain,
( ( ( ~ ( ( sK8_Xx @ sK31_SV35 @ sK37_SV43 )
| ( sK10_SY86 @ sK31_SV35 @ sK37_SV43 ) ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[351]) ).
thf(365,plain,
( ( ( ~ ( ~ ( sK8_Xx @ sK31_SV35 @ sK37_SV43 )
| ~ ( sK10_SY86 @ sK31_SV35 @ sK37_SV43 ) ) )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[351]) ).
thf(366,plain,
( ( ( sK8_Xx @ sK28_SV31 @ sK32_SV36 )
= $true )
| ( ( sK10_SY86 @ sK28_SV31 @ sK32_SV36 )
= $true )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(367,plain,
( ( ( ~ ( sK8_Xx @ sK28_SV31 @ sK32_SV36 ) )
= $true )
| ( ( ~ ( sK10_SY86 @ sK28_SV31 @ sK32_SV36 ) )
= $true )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(368,plain,
( ( ( ~ ( ( sK8_Xx @ sK33_SV38 @ sK38_SV47 )
| ( sK10_SY86 @ sK33_SV38 @ sK38_SV47 ) )
| ~ ( ~ ( sK8_Xx @ sK33_SV38 @ sK38_SV47 )
| ~ ( sK10_SY86 @ sK33_SV38 @ sK38_SV47 ) ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[355]) ).
thf(369,plain,
( ( ( ( sK8_Xx @ sK33_SV38 @ sK38_SV47 )
= ( sK10_SY86 @ sK33_SV38 @ sK38_SV47 ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[355]) ).
thf(370,plain,
( ( ( ~ ( ( sK8_Xx @ sK34_SV39 @ sK39_SV48 )
| ( sK10_SY86 @ sK34_SV39 @ sK39_SV48 ) )
| ~ ( ~ ( sK8_Xx @ sK34_SV39 @ sK39_SV48 )
| ~ ( sK10_SY86 @ sK34_SV39 @ sK39_SV48 ) ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[356]) ).
thf(371,plain,
( ( ( ( sK8_Xx @ sK34_SV39 @ sK39_SV48 )
= ( sK10_SY86 @ sK34_SV39 @ sK39_SV48 ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[356]) ).
thf(372,plain,
( ( ( ( sK8_Xx @ sK29_SV32 @ sK35_SV40 )
| ( sK10_SY86 @ sK29_SV32 @ sK35_SV40 ) )
= $true )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(373,plain,
( ( ( ~ ( sK8_Xx @ sK29_SV32 @ sK35_SV40 )
| ~ ( sK10_SY86 @ sK29_SV32 @ sK35_SV40 ) )
= $true )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(374,plain,
! [SV49: a,SV44: a] :
( ( ( sK8_Xx @ SV44 @ SV49 )
= $false )
| ( ( sK8_Xx @ SV49 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(375,plain,
! [SV51: a,SV50: a,SV45: a] :
( ( ( ~ ( sK8_Xx @ SV45 @ SV50 )
| ~ ( sK8_Xx @ SV50 @ SV51 ) )
= $true )
| ( ( sK8_Xx @ SV45 @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[360]) ).
thf(376,plain,
! [SV46: a,SV37: a] :
( ( ( ( sK8_Xx @ SV37 @ SV46 )
| ( sK9_SY69 @ SV37 @ SV46 ) )
= $false )
| ( ( ~ ( ~ ( sK8_Xx @ SV37 @ SV46 )
| ~ ( sK9_SY69 @ SV37 @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(377,plain,
( ( ( ( sK8_Xx @ sK30_SV34 @ sK36_SV42 )
| ( sK10_SY86 @ sK30_SV34 @ sK36_SV42 ) )
= $true )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(378,plain,
( ( ( ~ ( sK8_Xx @ sK30_SV34 @ sK36_SV42 )
| ~ ( sK10_SY86 @ sK30_SV34 @ sK36_SV42 ) )
= $true )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(379,plain,
( ( ( ( sK8_Xx @ sK31_SV35 @ sK37_SV43 )
| ( sK10_SY86 @ sK31_SV35 @ sK37_SV43 ) )
= $true )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(380,plain,
( ( ( ~ ( sK8_Xx @ sK31_SV35 @ sK37_SV43 )
| ~ ( sK10_SY86 @ sK31_SV35 @ sK37_SV43 ) )
= $true )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(381,plain,
( ( ( sK8_Xx @ sK28_SV31 @ sK32_SV36 )
= $false )
| ( ( ~ ( sK10_SY86 @ sK28_SV31 @ sK32_SV36 ) )
= $true )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(382,plain,
( ( ( ~ ( ( sK8_Xx @ sK33_SV38 @ sK38_SV47 )
| ( sK10_SY86 @ sK33_SV38 @ sK38_SV47 ) ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(383,plain,
( ( ( ~ ( ~ ( sK8_Xx @ sK33_SV38 @ sK38_SV47 )
| ~ ( sK10_SY86 @ sK33_SV38 @ sK38_SV47 ) ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(384,plain,
( ( ( ~ ( ( sK8_Xx @ sK34_SV39 @ sK39_SV48 )
| ( sK10_SY86 @ sK34_SV39 @ sK39_SV48 ) ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(385,plain,
( ( ( ~ ( ~ ( sK8_Xx @ sK34_SV39 @ sK39_SV48 )
| ~ ( sK10_SY86 @ sK34_SV39 @ sK39_SV48 ) ) )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(386,plain,
( ( ( sK8_Xx @ sK29_SV32 @ sK35_SV40 )
= $true )
| ( ( sK10_SY86 @ sK29_SV32 @ sK35_SV40 )
= $true )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(387,plain,
( ( ( ~ ( sK8_Xx @ sK29_SV32 @ sK35_SV40 ) )
= $true )
| ( ( ~ ( sK10_SY86 @ sK29_SV32 @ sK35_SV40 ) )
= $true )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(388,plain,
! [SV51: a,SV50: a,SV45: a] :
( ( ( ~ ( sK8_Xx @ SV45 @ SV50 ) )
= $true )
| ( ( ~ ( sK8_Xx @ SV50 @ SV51 ) )
= $true )
| ( ( sK8_Xx @ SV45 @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(389,plain,
! [SV46: a,SV37: a] :
( ( ( sK8_Xx @ SV37 @ SV46 )
= $false )
| ( ( ~ ( ~ ( sK8_Xx @ SV37 @ SV46 )
| ~ ( sK9_SY69 @ SV37 @ SV46 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(390,plain,
! [SV46: a,SV37: a] :
( ( ( sK9_SY69 @ SV37 @ SV46 )
= $false )
| ( ( ~ ( ~ ( sK8_Xx @ SV37 @ SV46 )
| ~ ( sK9_SY69 @ SV37 @ SV46 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(391,plain,
( ( ( sK8_Xx @ sK30_SV34 @ sK36_SV42 )
= $true )
| ( ( sK10_SY86 @ sK30_SV34 @ sK36_SV42 )
= $true )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(392,plain,
( ( ( ~ ( sK8_Xx @ sK30_SV34 @ sK36_SV42 ) )
= $true )
| ( ( ~ ( sK10_SY86 @ sK30_SV34 @ sK36_SV42 ) )
= $true )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(393,plain,
( ( ( sK8_Xx @ sK31_SV35 @ sK37_SV43 )
= $true )
| ( ( sK10_SY86 @ sK31_SV35 @ sK37_SV43 )
= $true )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(394,plain,
( ( ( ~ ( sK8_Xx @ sK31_SV35 @ sK37_SV43 ) )
= $true )
| ( ( ~ ( sK10_SY86 @ sK31_SV35 @ sK37_SV43 ) )
= $true )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(395,plain,
( ( ( sK10_SY86 @ sK28_SV31 @ sK32_SV36 )
= $false )
| ( ( sK8_Xx @ sK28_SV31 @ sK32_SV36 )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(396,plain,
( ( ( ( sK8_Xx @ sK33_SV38 @ sK38_SV47 )
| ( sK10_SY86 @ sK33_SV38 @ sK38_SV47 ) )
= $true )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(397,plain,
( ( ( ~ ( sK8_Xx @ sK33_SV38 @ sK38_SV47 )
| ~ ( sK10_SY86 @ sK33_SV38 @ sK38_SV47 ) )
= $true )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(398,plain,
( ( ( ( sK8_Xx @ sK34_SV39 @ sK39_SV48 )
| ( sK10_SY86 @ sK34_SV39 @ sK39_SV48 ) )
= $true )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(399,plain,
( ( ( ~ ( sK8_Xx @ sK34_SV39 @ sK39_SV48 )
| ~ ( sK10_SY86 @ sK34_SV39 @ sK39_SV48 ) )
= $true )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(400,plain,
( ( ( sK8_Xx @ sK29_SV32 @ sK35_SV40 )
= $false )
| ( ( ~ ( sK10_SY86 @ sK29_SV32 @ sK35_SV40 ) )
= $true )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(401,plain,
! [SV51: a,SV50: a,SV45: a] :
( ( ( sK8_Xx @ SV45 @ SV50 )
= $false )
| ( ( ~ ( sK8_Xx @ SV50 @ SV51 ) )
= $true )
| ( ( sK8_Xx @ SV45 @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(402,plain,
! [SV46: a,SV37: a] :
( ( ( ~ ( sK8_Xx @ SV37 @ SV46 )
| ~ ( sK9_SY69 @ SV37 @ SV46 ) )
= $false )
| ( ( sK8_Xx @ SV37 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(403,plain,
! [SV46: a,SV37: a] :
( ( ( ~ ( sK8_Xx @ SV37 @ SV46 )
| ~ ( sK9_SY69 @ SV37 @ SV46 ) )
= $false )
| ( ( sK9_SY69 @ SV37 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(404,plain,
( ( ( sK8_Xx @ sK30_SV34 @ sK36_SV42 )
= $false )
| ( ( ~ ( sK10_SY86 @ sK30_SV34 @ sK36_SV42 ) )
= $true )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(405,plain,
( ( ( sK8_Xx @ sK31_SV35 @ sK37_SV43 )
= $false )
| ( ( ~ ( sK10_SY86 @ sK31_SV35 @ sK37_SV43 ) )
= $true )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(406,plain,
( ( ( sK8_Xx @ sK33_SV38 @ sK38_SV47 )
= $true )
| ( ( sK10_SY86 @ sK33_SV38 @ sK38_SV47 )
= $true )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[396]) ).
thf(407,plain,
( ( ( ~ ( sK8_Xx @ sK33_SV38 @ sK38_SV47 ) )
= $true )
| ( ( ~ ( sK10_SY86 @ sK33_SV38 @ sK38_SV47 ) )
= $true )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(408,plain,
( ( ( sK8_Xx @ sK34_SV39 @ sK39_SV48 )
= $true )
| ( ( sK10_SY86 @ sK34_SV39 @ sK39_SV48 )
= $true )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(409,plain,
( ( ( ~ ( sK8_Xx @ sK34_SV39 @ sK39_SV48 ) )
= $true )
| ( ( ~ ( sK10_SY86 @ sK34_SV39 @ sK39_SV48 ) )
= $true )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(410,plain,
( ( ( sK10_SY86 @ sK29_SV32 @ sK35_SV40 )
= $false )
| ( ( sK8_Xx @ sK29_SV32 @ sK35_SV40 )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK13_SY119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(411,plain,
! [SV45: a,SV51: a,SV50: a] :
( ( ( sK8_Xx @ SV50 @ SV51 )
= $false )
| ( ( sK8_Xx @ SV45 @ SV50 )
= $false )
| ( ( sK8_Xx @ SV45 @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(412,plain,
! [SV46: a,SV37: a] :
( ( ( ~ ( sK8_Xx @ SV37 @ SV46 ) )
= $false )
| ( ( sK8_Xx @ SV37 @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(413,plain,
! [SV46: a,SV37: a] :
( ( ( ~ ( sK9_SY69 @ SV37 @ SV46 ) )
= $false )
| ( ( sK8_Xx @ SV37 @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(414,plain,
! [SV46: a,SV37: a] :
( ( ( ~ ( sK8_Xx @ SV37 @ SV46 ) )
= $false )
| ( ( sK9_SY69 @ SV37 @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(415,plain,
! [SV46: a,SV37: a] :
( ( ( ~ ( sK9_SY69 @ SV37 @ SV46 ) )
= $false )
| ( ( sK9_SY69 @ SV37 @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(416,plain,
( ( ( sK10_SY86 @ sK30_SV34 @ sK36_SV42 )
= $false )
| ( ( sK8_Xx @ sK30_SV34 @ sK36_SV42 )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(417,plain,
( ( ( sK10_SY86 @ sK31_SV35 @ sK37_SV43 )
= $false )
| ( ( sK8_Xx @ sK31_SV35 @ sK37_SV43 )
= $false )
| ( ( sK8_Xx @ sK14_SY81 @ sK15_SY120 )
= $true )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(418,plain,
( ( ( sK8_Xx @ sK33_SV38 @ sK38_SV47 )
= $false )
| ( ( ~ ( sK10_SY86 @ sK33_SV38 @ sK38_SV47 ) )
= $true )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(419,plain,
( ( ( sK8_Xx @ sK34_SV39 @ sK39_SV48 )
= $false )
| ( ( ~ ( sK10_SY86 @ sK34_SV39 @ sK39_SV48 ) )
= $true )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(420,plain,
! [SV46: a,SV37: a] :
( ( ( sK8_Xx @ SV37 @ SV46 )
= $true )
| ( ( sK8_Xx @ SV37 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[412]) ).
thf(421,plain,
! [SV46: a,SV37: a] :
( ( ( sK9_SY69 @ SV37 @ SV46 )
= $true )
| ( ( sK8_Xx @ SV37 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(422,plain,
! [SV46: a,SV37: a] :
( ( ( sK8_Xx @ SV37 @ SV46 )
= $true )
| ( ( sK9_SY69 @ SV37 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(423,plain,
! [SV46: a,SV37: a] :
( ( ( sK9_SY69 @ SV37 @ SV46 )
= $true )
| ( ( sK9_SY69 @ SV37 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(424,plain,
( ( ( sK10_SY86 @ sK33_SV38 @ sK38_SV47 )
= $false )
| ( ( sK8_Xx @ sK33_SV38 @ sK38_SV47 )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK11_SY83 @ sK12_SY117 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(425,plain,
( ( ( sK10_SY86 @ sK34_SV39 @ sK39_SV48 )
= $false )
| ( ( sK8_Xx @ sK34_SV39 @ sK39_SV48 )
= $false )
| ( ( sK8_Xx @ sK15_SY120 @ sK14_SY81 )
= $false )
| ( ( sK8_Xx @ sK12_SY117 @ sK13_SY119 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(426,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[213,425,424,423,422,421,420,417,416,411,410,408,406,395,393,391,386,374,371,369,366,352,350,348,344,342,340,328,326,324,322,318,316,314,309,308,307,306,299,297,295,289,286,285,284,268,237,224]) ).
thf(427,plain,
( ( ~ $true )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(428,plain,
$true = $false,
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(429,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[428]) ).
thf(430,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[429,195,426]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV040^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n019.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 : Mon Jun 27 18:58:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.36
% 0.12/0.36 No.of.Axioms: 0
% 0.12/0.36
% 0.12/0.36 Length.of.Defs: 0
% 0.12/0.36
% 0.12/0.36 Contains.Choice.Funs: false
% 0.12/0.37 (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)..............
% 0.19/0.58
% 0.19/0.58 ********************************
% 0.19/0.58 * All subproblems solved! *
% 0.19/0.58 ********************************
% 0.19/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:429,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.46/0.67
% 0.46/0.67 %**** Beginning of derivation protocol ****
% 0.46/0.67 % SZS output start CNFRefutation
% See solution above
% 0.46/0.68
% 0.46/0.68 %**** End of derivation protocol ****
% 0.46/0.68 %**** no. of clauses in derivation: 430 ****
% 0.46/0.68 %**** clause counter: 429 ****
% 0.46/0.68
% 0.46/0.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:429,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------